id	sid	tid	token	lemma	pos
iajs-1953	1	1	1	1	NUM
iajs-1953	1	2	https://doi.org/10.30526/31.2.1953	https://doi.org/10.30526/31.2.1953	NOUN
iajs-1953	1	3	mathmatics	mathmatic	NOUN
iajs-1953	1	4	|	|	ADV
iajs-1953	1	5	137	137	NUM
iajs-1953	1	6	8201	8201	NUM
iajs-1953	1	7	(	(	PUNCT
iajs-1953	1	8	عام	عام	ADP
iajs-1953	1	9	2العدد	2العدد	NUM
iajs-1953	1	10	)	)	PUNCT
iajs-1953	1	11	13المجلد	13المجلد	NUM
iajs-1953	2	1	مجلة	مجلة	PROPN
iajs-1953	2	2	إبن	إبن	VERB
iajs-1953	2	3	الهيثم	الهيثم	ADJ
iajs-1953	2	4	للعلوم	للعلوم	NOUN
iajs-1953	2	5	الصرفة	الصرفة	NOUN
iajs-1953	3	1	و	و	PRON
iajs-1953	3	2	التطبيقية	التطبيقية	ADJ
iajs-1953	3	3	ibn	ibn	PROPN
iajs-1953	3	4	al	al	PROPN
iajs-1953	3	5	-	-	PUNCT
iajs-1953	3	6	haitham	haitham	PROPN
iajs-1953	3	7	jour	jour	X
iajs-1953	3	8	.	.	PROPN
iajs-1953	3	9	for	for	ADP
iajs-1953	3	10	pure	pure	ADJ
iajs-1953	3	11	&	&	CCONJ
iajs-1953	3	12	appl	appl	PROPN
iajs-1953	3	13	.	.	PUNCT
iajs-1953	4	1	sci	sci	PROPN
iajs-1953	4	2	.	.	PUNCT
iajs-1953	4	3	vol	vol	NOUN
iajs-1953	4	4	.	.	PROPN
iajs-1953	5	1	31	31	NUM
iajs-1953	5	2	(	(	PUNCT
iajs-1953	5	3	2	2	NUM
iajs-1953	5	4	)	)	SYM
iajs-1953	5	5	2018	2018	NUM
iajs-1953	5	6	soft	soft	ADJ
iajs-1953	5	7	(	(	PUNCT
iajs-1953	5	8	1,2)*-omega	1,2)*-omega	NUM
iajs-1953	5	9	separation	separation	NOUN
iajs-1953	5	10	axioms	axiom	NOUN
iajs-1953	5	11	and	and	CCONJ
iajs-1953	5	12	weak	weak	ADJ
iajs-1953	5	13	soft	soft	ADJ
iajs-1953	5	14	(	(	PUNCT
iajs-1953	5	15	1,2)*-omega	1,2)*-omega	NUM
iajs-1953	5	16	separation	separation	NOUN
iajs-1953	5	17	axioms	axiom	VERB
iajs-1953	5	18	in	in	ADP
iajs-1953	5	19	soft	soft	ADJ
iajs-1953	5	20	bitopological	bitopological	ADJ
iajs-1953	5	21	spaces	space	NOUN
iajs-1953	5	22	sabiha	sabiha	PROPN
iajs-1953	5	23	i.	i.	PROPN
iajs-1953	5	24	mahmood	mahmood	PROPN
iajs-1953	5	25	asaad	asaad	PROPN
iajs-1953	5	26	adel	adel	PROPN
iajs-1953	5	27	abdul	abdul	PROPN
iajs-1953	5	28	-	-	PUNCT
iajs-1953	5	29	hady	hady	PROPN
iajs-1953	5	30	dept	dept	NOUN
iajs-1953	5	31	.	.	PROPN
iajs-1953	6	1	of	of	ADP
iajs-1953	6	2	mathematics/	mathematics/	NUM
iajs-1953	6	3	college	college	NOUN
iajs-1953	6	4	of	of	ADP
iajs-1953	6	5	science/	science/	NUM
iajs-1953	6	6	university	university	PROPN
iajs-1953	6	7	of	of	ADP
iajs-1953	6	8	mustansiriyah	mustansiriyah	NOUN
iajs-1953	6	9	ssabihaa@uomustansiriyah.edu.iq	ssabihaa@uomustansiriyah.edu.iq	NOUN
iajs-1953	6	10	received	receive	VERB
iajs-1953	6	11	in:24	in:24	NOUN
iajs-1953	6	12	/	/	SYM
iajs-1953	6	13	april/2018	april/2018	NOUN
iajs-1953	6	14	,	,	PUNCT
iajs-1953	6	15	accepted	accept	VERB
iajs-1953	6	16	in:6	in:6	PROPN
iajs-1953	6	17	/	/	SYM
iajs-1953	6	18	june/2018	june/2018	NOUN
iajs-1953	6	19	abstract	abstract	ADJ
iajs-1953	6	20	in	in	ADP
iajs-1953	6	21	the	the	DET
iajs-1953	6	22	present	present	ADJ
iajs-1953	6	23	paper	paper	NOUN
iajs-1953	6	24	we	we	PRON
iajs-1953	6	25	introduce	introduce	VERB
iajs-1953	6	26	and	and	CCONJ
iajs-1953	6	27	study	study	VERB
iajs-1953	6	28	new	new	ADJ
iajs-1953	6	29	classes	class	NOUN
iajs-1953	6	30	of	of	ADP
iajs-1953	6	31	soft	soft	ADJ
iajs-1953	6	32	separation	separation	NOUN
iajs-1953	6	33	axioms	axiom	NOUN
iajs-1953	6	34	in	in	ADP
iajs-1953	6	35	soft	soft	ADJ
iajs-1953	6	36	bitopological	bitopological	ADJ
iajs-1953	6	37	spaces	space	NOUN
iajs-1953	6	38	,	,	PUNCT
iajs-1953	6	39	namely	namely	ADV
iajs-1953	6	40	,	,	PUNCT
iajs-1953	6	41	soft	soft	ADJ
iajs-1953	6	42	(	(	PUNCT
iajs-1953	6	43	1,2)*-omega	1,2)*-omega	NUM
iajs-1953	6	44	separation	separation	NOUN
iajs-1953	6	45	axioms	axiom	NOUN
iajs-1953	6	46	and	and	CCONJ
iajs-1953	6	47	weak	weak	ADJ
iajs-1953	6	48	soft	soft	ADJ
iajs-1953	6	49	(	(	PUNCT
iajs-1953	6	50	1,2)*omega	1,2)*omega	NUM
iajs-1953	6	51	separation	separation	NOUN
iajs-1953	6	52	axioms	axiom	NOUN
iajs-1953	6	53	by	by	ADP
iajs-1953	6	54	using	use	VERB
iajs-1953	6	55	the	the	DET
iajs-1953	6	56	concept	concept	NOUN
iajs-1953	6	57	of	of	ADP
iajs-1953	6	58	soft	soft	ADJ
iajs-1953	6	59	(	(	PUNCT
iajs-1953	6	60	1,2)*-omega	1,2)*-omega	NUM
iajs-1953	6	61	open	open	ADJ
iajs-1953	6	62	sets	set	NOUN
iajs-1953	6	63	.	.	PUNCT
iajs-1953	7	1	the	the	DET
iajs-1953	7	2	equivalent	equivalent	ADJ
iajs-1953	7	3	definitions	definition	NOUN
iajs-1953	7	4	and	and	CCONJ
iajs-1953	7	5	basic	basic	ADJ
iajs-1953	7	6	properties	property	NOUN
iajs-1953	7	7	of	of	ADP
iajs-1953	7	8	these	these	DET
iajs-1953	7	9	types	type	NOUN
iajs-1953	7	10	of	of	ADP
iajs-1953	7	11	soft	soft	ADJ
iajs-1953	7	12	separation	separation	NOUN
iajs-1953	7	13	axioms	axiom	NOUN
iajs-1953	7	14	also	also	ADV
iajs-1953	7	15	have	have	AUX
iajs-1953	7	16	been	be	AUX
iajs-1953	7	17	studied	study	VERB
iajs-1953	7	18	.	.	PUNCT
iajs-1953	8	1	keywords	keyword	NOUN
iajs-1953	8	2	:	:	PUNCT
iajs-1953	8	3	soft	soft	ADJ
iajs-1953	8	4	(	(	PUNCT
iajs-1953	8	5	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	8	6	-	-	PUNCT
iajs-1953	8	7	open	open	ADJ
iajs-1953	8	8	sets	set	NOUN
iajs-1953	8	9	,	,	PUNCT
iajs-1953	8	10	soft	soft	ADJ
iajs-1953	8	11	(	(	PUNCT
iajs-1953	8	12	1,2)*-ωit	1,2)*-ωit	NUM
iajs-1953	8	13	~	~	SYM
iajs-1953	8	14	-spaces	-space	NOUN
iajs-1953	8	15	,	,	PUNCT
iajs-1953	8	16	soft	soft	ADJ
iajs-1953	8	17	(	(	PUNCT
iajs-1953	8	18	1,2)*-α	1,2)*-α	NUM
iajs-1953	8	19	-	-	PUNCT
iajs-1953	8	20	ωit	ωit	NOUN
iajs-1953	8	21	~	~	SYM
iajs-1953	8	22	-spaces	-space	NOUN
iajs-1953	8	23	,	,	PUNCT
iajs-1953	8	24	soft	soft	ADJ
iajs-1953	8	25	(	(	PUNCT
iajs-1953	8	26	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	8	27	-	-	PUNCT
iajs-1953	8	28	ωit	ωit	NOUN
iajs-1953	8	29	~	~	SYM
iajs-1953	8	30	-spaces	-space	NOUN
iajs-1953	8	31	,	,	PUNCT
iajs-1953	8	32	soft	soft	ADJ
iajs-1953	8	33	(	(	PUNCT
iajs-1953	8	34	1,2)*-b	1,2)*-b	NUM
iajs-1953	8	35	-	-	PUNCT
iajs-1953	8	36	ωit	ωit	NOUN
iajs-1953	8	37	~	~	SYM
iajs-1953	8	38	-spaces	-space	NOUN
iajs-1953	8	39	,	,	PUNCT
iajs-1953	8	40	and	and	CCONJ
iajs-1953	8	41	soft	soft	ADJ
iajs-1953	8	42	(	(	PUNCT
iajs-1953	8	43	1,2)*-β	1,2)*-β	NUM
iajs-1953	8	44	-	-	PUNCT
iajs-1953	8	45	ωit	ωit	NOUN
iajs-1953	8	46	~	~	SYM
iajs-1953	8	47	-spaces	-space	NOUN
iajs-1953	8	48	,	,	PUNCT
iajs-1953	8	49	for	for	ADP
iajs-1953	8	50	2,1,,0	2,1,,0	NUM
iajs-1953	8	51	2	2	NUM
iajs-1953	8	52	1i	1i	NUM
iajs-1953	8	53	.	.	PUNCT
iajs-1953	9	1	https://doi.org/10.30526/31.2.19523	https://doi.org/10.30526/31.2.19523	PROPN
iajs-1953	9	2	mailto:ssabihaa@uomustansiriyah.edu.iq	mailto:ssabihaa@uomustansiriyah.edu.iq	ADJ
iajs-1953	9	3	https://doi.org/10.30526/31.2.1953	https://doi.org/10.30526/31.2.1953	PROPN
iajs-1953	9	4	mathmatics	mathmatics	PROPN
iajs-1953	9	5	|	|	ADV
iajs-1953	9	6	138	138	NUM
iajs-1953	9	7	8201	8201	NUM
iajs-1953	9	8	(	(	PUNCT
iajs-1953	9	9	عام	عام	ADP
iajs-1953	9	10	2العدد	2العدد	NUM
iajs-1953	9	11	)	)	PUNCT
iajs-1953	10	1	13لمجلد	13لمجلد	NUM
iajs-1953	11	1	ا	ا	INTJ
iajs-1953	12	1	مجلة	مجلة	PROPN
iajs-1953	12	2	إبن	إبن	VERB
iajs-1953	12	3	الهيثم	الهيثم	ADJ
iajs-1953	12	4	للعلوم	للعلوم	NOUN
iajs-1953	12	5	الصرفة	الصرفة	NOUN
iajs-1953	13	1	و	و	PRON
iajs-1953	13	2	التطبيقية	التطبيقية	ADJ
iajs-1953	13	3	ibn	ibn	PROPN
iajs-1953	13	4	al	al	PROPN
iajs-1953	13	5	-	-	PUNCT
iajs-1953	13	6	haitham	haitham	PROPN
iajs-1953	13	7	jour	jour	X
iajs-1953	13	8	.	.	PROPN
iajs-1953	13	9	for	for	ADP
iajs-1953	13	10	pure	pure	ADJ
iajs-1953	13	11	&	&	CCONJ
iajs-1953	13	12	appl	appl	PROPN
iajs-1953	13	13	.	.	PUNCT
iajs-1953	14	1	sci	sci	PROPN
iajs-1953	14	2	.	.	PUNCT
iajs-1953	14	3	vol	vol	NOUN
iajs-1953	14	4	.	.	PROPN
iajs-1953	15	1	31	31	NUM
iajs-1953	15	2	(	(	PUNCT
iajs-1953	15	3	2	2	NUM
iajs-1953	15	4	)	)	SYM
iajs-1953	15	5	2018	2018	NUM
iajs-1953	15	6	introduction	introduction	NOUN
iajs-1953	15	7	soft	soft	ADJ
iajs-1953	15	8	set	set	NOUN
iajs-1953	15	9	theory	theory	NOUN
iajs-1953	15	10	was	be	AUX
iajs-1953	15	11	firstly	firstly	ADV
iajs-1953	15	12	introduced	introduce	VERB
iajs-1953	15	13	by	by	ADP
iajs-1953	15	14	molodtsov	molodtsov	NOUN
iajs-1953	15	15	[	[	X
iajs-1953	15	16	1	1	X
iajs-1953	15	17	]	]	PUNCT
iajs-1953	15	18	in	in	ADP
iajs-1953	15	19	1999	1999	NUM
iajs-1953	15	20	as	as	ADP
iajs-1953	15	21	a	a	DET
iajs-1953	15	22	new	new	ADJ
iajs-1953	15	23	mathematical	mathematical	ADJ
iajs-1953	15	24	tool	tool	NOUN
iajs-1953	15	25	for	for	ADP
iajs-1953	15	26	dealing	deal	VERB
iajs-1953	15	27	with	with	ADP
iajs-1953	15	28	uncertainty	uncertainty	NOUN
iajs-1953	15	29	while	while	SCONJ
iajs-1953	15	30	modeling	model	VERB
iajs-1953	15	31	problems	problem	NOUN
iajs-1953	15	32	in	in	ADP
iajs-1953	15	33	computer	computer	NOUN
iajs-1953	15	34	science	science	NOUN
iajs-1953	15	35	,	,	PUNCT
iajs-1953	15	36	economics	economic	NOUN
iajs-1953	15	37	,	,	PUNCT
iajs-1953	15	38	engineering	engineering	NOUN
iajs-1953	15	39	physics	physic	NOUN
iajs-1953	15	40	,	,	PUNCT
iajs-1953	15	41	medical	medical	ADJ
iajs-1953	15	42	sciences	science	NOUN
iajs-1953	15	43	,	,	PUNCT
iajs-1953	15	44	and	and	CCONJ
iajs-1953	15	45	social	social	ADJ
iajs-1953	15	46	sciences	science	NOUN
iajs-1953	15	47	.	.	PUNCT
iajs-1953	16	1	in	in	ADP
iajs-1953	16	2	2011	2011	NUM
iajs-1953	16	3	shabir	shabir	NOUN
iajs-1953	16	4	and	and	CCONJ
iajs-1953	16	5	naz	naz	PROPN
iajs-1953	16	6	[	[	X
iajs-1953	16	7	2	2	NUM
iajs-1953	16	8	]	]	PUNCT
iajs-1953	16	9	introduced	introduce	VERB
iajs-1953	16	10	and	and	CCONJ
iajs-1953	16	11	studied	study	VERB
iajs-1953	16	12	the	the	DET
iajs-1953	16	13	concept	concept	NOUN
iajs-1953	16	14	of	of	ADP
iajs-1953	16	15	soft	soft	ADJ
iajs-1953	16	16	topological	topological	ADJ
iajs-1953	16	17	spaces	space	NOUN
iajs-1953	16	18	.	.	PUNCT
iajs-1953	17	1	in	in	ADP
iajs-1953	17	2	2014	2014	NUM
iajs-1953	17	3	senel	senel	NOUN
iajs-1953	17	4	and	and	CCONJ
iajs-1953	17	5	çagman	çagman	NOUN
iajs-1953	17	6	[	[	X
iajs-1953	17	7	3	3	NUM
iajs-1953	17	8	]	]	PUNCT
iajs-1953	17	9	investigated	investigate	VERB
iajs-1953	17	10	the	the	DET
iajs-1953	17	11	notion	notion	NOUN
iajs-1953	17	12	of	of	ADP
iajs-1953	17	13	soft	soft	ADJ
iajs-1953	17	14	bitopological	bitopological	ADJ
iajs-1953	17	15	spaces	space	NOUN
iajs-1953	17	16	over	over	ADP
iajs-1953	17	17	an	an	DET
iajs-1953	17	18	initial	initial	ADJ
iajs-1953	17	19	universe	universe	NOUN
iajs-1953	17	20	set	set	VERB
iajs-1953	17	21	with	with	ADP
iajs-1953	17	22	a	a	DET
iajs-1953	17	23	fixed	fix	VERB
iajs-1953	17	24	set	set	NOUN
iajs-1953	17	25	of	of	ADP
iajs-1953	17	26	parameters	parameter	NOUN
iajs-1953	17	27	.	.	PUNCT
iajs-1953	18	1	in	in	ADP
iajs-1953	18	2	2018	2018	NUM
iajs-1953	18	3	mahmood	mahmood	NOUN
iajs-1953	18	4	and	and	CCONJ
iajs-1953	18	5	abdul	abdul	PROPN
iajs-1953	18	6	-	-	PUNCT
iajs-1953	18	7	hady	hady	NOUN
iajs-1953	18	8	[	[	X
iajs-1953	18	9	4	4	NUM
iajs-1953	18	10	]	]	PUNCT
iajs-1953	18	11	introduced	introduce	VERB
iajs-1953	18	12	and	and	CCONJ
iajs-1953	18	13	studied	study	VERB
iajs-1953	18	14	new	new	ADJ
iajs-1953	18	15	types	type	NOUN
iajs-1953	18	16	of	of	ADP
iajs-1953	18	17	soft	soft	ADJ
iajs-1953	18	18	sets	set	NOUN
iajs-1953	18	19	in	in	ADP
iajs-1953	18	20	soft	soft	ADJ
iajs-1953	18	21	bitopological	bitopological	ADJ
iajs-1953	18	22	spaces	space	NOUN
iajs-1953	18	23	called	call	VERB
iajs-1953	18	24	soft	soft	ADJ
iajs-1953	18	25	(	(	PUNCT
iajs-1953	18	26	1,2)*-omega	1,2)*-omega	NUM
iajs-1953	18	27	open	open	ADJ
iajs-1953	18	28	sets	set	NOUN
iajs-1953	18	29	and	and	CCONJ
iajs-1953	18	30	weak	weak	ADJ
iajs-1953	18	31	forms	form	NOUN
iajs-1953	18	32	of	of	ADP
iajs-1953	18	33	soft	soft	ADJ
iajs-1953	18	34	(	(	PUNCT
iajs-1953	18	35	1,2)*-omega	1,2)*-omega	NUM
iajs-1953	18	36	open	open	ADJ
iajs-1953	18	37	sets	set	NOUN
iajs-1953	18	38	such	such	ADJ
iajs-1953	18	39	as	as	ADP
iajs-1953	18	40	soft	soft	ADJ
iajs-1953	18	41	(	(	PUNCT
iajs-1953	18	42	1,2)*-α	1,2)*-α	NUM
iajs-1953	18	43	-	-	PUNCT
iajs-1953	18	44	ω	ω	VERB
iajs-1953	18	45	-	-	ADJ
iajs-1953	18	46	open	open	ADJ
iajs-1953	18	47	sets	set	NOUN
iajs-1953	18	48	,	,	PUNCT
iajs-1953	18	49	soft	soft	ADJ
iajs-1953	18	50	(	(	PUNCT
iajs-1953	18	51	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	18	52	-	-	PUNCT
iajs-1953	18	53	ω	ω	VERB
iajs-1953	18	54	-	-	ADJ
iajs-1953	18	55	open	open	ADJ
iajs-1953	18	56	sets	set	NOUN
iajs-1953	18	57	,	,	PUNCT
iajs-1953	18	58	soft	soft	ADJ
iajs-1953	18	59	(	(	PUNCT
iajs-1953	18	60	1,2)*-b	1,2)*-b	NUM
iajs-1953	18	61	-	-	PUNCT
iajs-1953	18	62	ω	ω	VERB
iajs-1953	18	63	-	-	ADJ
iajs-1953	18	64	open	open	ADJ
iajs-1953	18	65	sets	set	NOUN
iajs-1953	18	66	and	and	CCONJ
iajs-1953	18	67	soft	soft	ADJ
iajs-1953	18	68	(	(	PUNCT
iajs-1953	18	69	1,2)*-β	1,2)*-β	NUM
iajs-1953	18	70	-	-	PUNCT
iajs-1953	18	71	ω	ω	VERB
iajs-1953	18	72	-	-	PUNCT
iajs-1953	18	73	open	open	ADJ
iajs-1953	18	74	sets	set	NOUN
iajs-1953	18	75	.	.	PUNCT
iajs-1953	19	1	the	the	DET
iajs-1953	19	2	main	main	ADJ
iajs-1953	19	3	purpose	purpose	NOUN
iajs-1953	19	4	of	of	ADP
iajs-1953	19	5	this	this	DET
iajs-1953	19	6	paper	paper	NOUN
iajs-1953	19	7	is	be	AUX
iajs-1953	19	8	to	to	PART
iajs-1953	19	9	introduce	introduce	VERB
iajs-1953	19	10	and	and	CCONJ
iajs-1953	19	11	study	study	VERB
iajs-1953	19	12	new	new	ADJ
iajs-1953	19	13	types	type	NOUN
iajs-1953	19	14	of	of	ADP
iajs-1953	19	15	soft	soft	ADJ
iajs-1953	19	16	separation	separation	NOUN
iajs-1953	19	17	axioms	axiom	NOUN
iajs-1953	19	18	in	in	ADP
iajs-1953	19	19	soft	soft	ADJ
iajs-1953	19	20	bitopological	bitopological	ADJ
iajs-1953	19	21	spaces	space	NOUN
iajs-1953	19	22	called	call	VERB
iajs-1953	19	23	soft	soft	ADJ
iajs-1953	19	24	(	(	PUNCT
iajs-1953	19	25	1,2)*-omega	1,2)*-omega	NUM
iajs-1953	19	26	separation	separation	NOUN
iajs-1953	19	27	axioms	axiom	NOUN
iajs-1953	19	28	and	and	CCONJ
iajs-1953	19	29	weak	weak	ADJ
iajs-1953	19	30	soft	soft	ADJ
iajs-1953	19	31	(	(	PUNCT
iajs-1953	19	32	1,2)*-omega	1,2)*-omega	NUM
iajs-1953	19	33	separation	separation	NOUN
iajs-1953	19	34	axioms	axiom	NOUN
iajs-1953	19	35	by	by	ADP
iajs-1953	19	36	using	use	VERB
iajs-1953	19	37	the	the	DET
iajs-1953	19	38	notion	notion	NOUN
iajs-1953	19	39	of	of	ADP
iajs-1953	19	40	soft	soft	ADJ
iajs-1953	19	41	(	(	PUNCT
iajs-1953	19	42	1,2)*-omega	1,2)*-omega	NUM
iajs-1953	19	43	open	open	ADJ
iajs-1953	19	44	sets	set	NOUN
iajs-1953	19	45	such	such	ADJ
iajs-1953	19	46	as	as	ADP
iajs-1953	19	47	soft	soft	ADJ
iajs-1953	19	48	(	(	PUNCT
iajs-1953	19	49	1,2)*-ωit	1,2)*-ωit	NUM
iajs-1953	19	50	~	~	SYM
iajs-1953	19	51	-spaces	-space	NOUN
iajs-1953	19	52	,	,	PUNCT
iajs-1953	19	53	soft	soft	ADJ
iajs-1953	19	54	(	(	PUNCT
iajs-1953	19	55	1,2)*-α	1,2)*-α	NUM
iajs-1953	19	56	-	-	PUNCT
iajs-1953	19	57	ωit	ωit	NOUN
iajs-1953	19	58	~	~	PUNCT
iajs-1953	19	59	spaces	space	NOUN
iajs-1953	19	60	,	,	PUNCT
iajs-1953	19	61	soft	soft	ADJ
iajs-1953	19	62	(	(	PUNCT
iajs-1953	19	63	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	19	64	-	-	PUNCT
iajs-1953	19	65	ωit	ωit	NOUN
iajs-1953	19	66	~	~	SYM
iajs-1953	19	67	-spaces	-space	NOUN
iajs-1953	19	68	,	,	PUNCT
iajs-1953	19	69	soft	soft	ADJ
iajs-1953	19	70	(	(	PUNCT
iajs-1953	19	71	1,2)*-b	1,2)*-b	NUM
iajs-1953	19	72	-	-	PUNCT
iajs-1953	19	73	ωit	ωit	NOUN
iajs-1953	19	74	~	~	SYM
iajs-1953	19	75	-spaces	-space	NOUN
iajs-1953	19	76	,	,	PUNCT
iajs-1953	19	77	and	and	CCONJ
iajs-1953	19	78	soft	soft	ADJ
iajs-1953	19	79	(	(	PUNCT
iajs-1953	19	80	1,2)*-β	1,2)*-β	NUM
iajs-1953	19	81	-	-	PUNCT
iajs-1953	19	82	ωit	ωit	NOUN
iajs-1953	19	83	~	~	PUNCT
iajs-1953	19	84	-spaces	-space	NOUN
iajs-1953	19	85	,	,	PUNCT
iajs-1953	19	86	for	for	ADP
iajs-1953	19	87	2,1,,0	2,1,,0	NUM
iajs-1953	19	88	2	2	NUM
iajs-1953	19	89	1i	1i	NUM
iajs-1953	19	90	.	.	PUNCT
iajs-1953	20	1	moreover	moreover	ADV
iajs-1953	20	2	we	we	PRON
iajs-1953	20	3	study	study	VERB
iajs-1953	20	4	the	the	DET
iajs-1953	20	5	fundamental	fundamental	ADJ
iajs-1953	20	6	properties	property	NOUN
iajs-1953	20	7	and	and	CCONJ
iajs-1953	20	8	equivalent	equivalent	ADJ
iajs-1953	20	9	definitions	definition	NOUN
iajs-1953	20	10	of	of	ADP
iajs-1953	20	11	these	these	DET
iajs-1953	20	12	types	type	NOUN
iajs-1953	20	13	of	of	ADP
iajs-1953	20	14	soft	soft	ADJ
iajs-1953	20	15	separation	separation	NOUN
iajs-1953	20	16	axioms	axiom	NOUN
iajs-1953	20	17	.	.	PUNCT
iajs-1953	21	1	1	1	X
iajs-1953	21	2	.	.	X
iajs-1953	21	3	preliminaries	preliminary	NOUN
iajs-1953	21	4	:	:	PUNCT
iajs-1953	21	5	throughout	throughout	ADP
iajs-1953	21	6	this	this	DET
iajs-1953	21	7	paper	paper	NOUN
iajs-1953	21	8	u	u	NOUN
iajs-1953	21	9	is	be	AUX
iajs-1953	21	10	an	an	DET
iajs-1953	21	11	initial	initial	ADJ
iajs-1953	21	12	universe	universe	NOUN
iajs-1953	21	13	set	set	NOUN
iajs-1953	21	14	,	,	PUNCT
iajs-1953	21	15	)	)	PUNCT
iajs-1953	21	16	(	(	PUNCT
iajs-1953	21	17	up	up	ADV
iajs-1953	21	18	is	be	AUX
iajs-1953	21	19	the	the	DET
iajs-1953	21	20	power	power	NOUN
iajs-1953	21	21	set	set	NOUN
iajs-1953	21	22	of	of	ADP
iajs-1953	21	23	u	u	PROPN
iajs-1953	21	24	,	,	PUNCT
iajs-1953	21	25	p	p	PROPN
iajs-1953	21	26	is	be	AUX
iajs-1953	21	27	the	the	DET
iajs-1953	21	28	set	set	NOUN
iajs-1953	21	29	of	of	ADP
iajs-1953	21	30	parameters	parameter	NOUN
iajs-1953	21	31	and	and	CCONJ
iajs-1953	21	32	pc	pc	NOUN
iajs-1953	21	33	.	.	PUNCT
iajs-1953	22	1	definition	definition	NOUN
iajs-1953	22	2	(	(	PUNCT
iajs-1953	22	3	1.1	1.1	NUM
iajs-1953	22	4	)	)	PUNCT
iajs-1953	23	1	[	[	X
iajs-1953	23	2	1	1	NUM
iajs-1953	23	3	]	]	X
iajs-1953	23	4	:	:	PUNCT
iajs-1953	23	5	a	a	DET
iajs-1953	23	6	soft	soft	ADJ
iajs-1953	23	7	set	set	NOUN
iajs-1953	23	8	over	over	ADP
iajs-1953	23	9	u	u	NOUN
iajs-1953	23	10	is	be	AUX
iajs-1953	23	11	a	a	DET
iajs-1953	23	12	pair	pair	NOUN
iajs-1953	23	13	)	)	PUNCT
iajs-1953	23	14	,	,	PUNCT
iajs-1953	23	15	(	(	PUNCT
iajs-1953	23	16	ch	ch	NOUN
iajs-1953	23	17	,	,	PUNCT
iajs-1953	23	18	where	where	SCONJ
iajs-1953	23	19	h	h	NOUN
iajs-1953	23	20	is	be	AUX
iajs-1953	23	21	a	a	DET
iajs-1953	23	22	function	function	NOUN
iajs-1953	23	23	defined	define	VERB
iajs-1953	23	24	by	by	ADP
iajs-1953	23	25	)	)	PUNCT
iajs-1953	23	26	(:	(:	VERB
iajs-1953	23	27	upch	upch	ADJ
iajs-1953	23	28			NOUN
iajs-1953	23	29	and	and	CCONJ
iajs-1953	23	30	c	c	PROPN
iajs-1953	23	31	is	be	AUX
iajs-1953	23	32	a	a	DET
iajs-1953	23	33	non	non	ADJ
iajs-1953	23	34	-	-	ADJ
iajs-1953	23	35	empty	empty	ADJ
iajs-1953	23	36	subset	subset	NOUN
iajs-1953	23	37	of	of	ADP
iajs-1953	23	38	p.	p.	NOUN
iajs-1953	23	39	definition	definition	NOUN
iajs-1953	23	40	(	(	PUNCT
iajs-1953	23	41	1.2)[5	1.2)[5	NOUN
iajs-1953	23	42	]	]	PUNCT
iajs-1953	23	43	:	:	PUNCT
iajs-1953	23	44	a	a	DET
iajs-1953	23	45	soft	soft	ADJ
iajs-1953	23	46	set	set	NOUN
iajs-1953	23	47	)	)	PUNCT
iajs-1953	23	48	,	,	PUNCT
iajs-1953	23	49	(	(	PUNCT
iajs-1953	23	50	ch	ch	NOUN
iajs-1953	23	51	over	over	ADP
iajs-1953	23	52	u	u	NOUN
iajs-1953	23	53	is	be	AUX
iajs-1953	23	54	called	call	VERB
iajs-1953	23	55	a	a	DET
iajs-1953	23	56	soft	soft	ADJ
iajs-1953	23	57	point	point	NOUN
iajs-1953	23	58	if	if	SCONJ
iajs-1953	23	59	there	there	PRON
iajs-1953	23	60	is	be	VERB
iajs-1953	23	61	exactly	exactly	ADV
iajs-1953	23	62	one	one	NUM
iajs-1953	23	63	ce	ce	NOUN
iajs-1953	23	64	such	such	ADJ
iajs-1953	23	65	that	that	SCONJ
iajs-1953	23	66	}	}	PUNCT
iajs-1953	23	67	{	{	PUNCT
iajs-1953	23	68	)	)	PUNCT
iajs-1953	23	69	(	(	PUNCT
iajs-1953	23	70	ueh	ueh	VERB
iajs-1953	23	71			NOUN
iajs-1953	23	72	for	for	ADP
iajs-1953	23	73	some	some	DET
iajs-1953	23	74	uu	uu	NOUN
iajs-1953	23	75	and	and	CCONJ
iajs-1953	23	76	φ)(eh	φ)(eh	ADJ
iajs-1953	23	77	,	,	PUNCT
iajs-1953	23	78	}	}	PUNCT
iajs-1953	23	79	{	{	PUNCT
iajs-1953	23	80	\	\	PROPN
iajs-1953	23	81	ece	ece	PROPN
iajs-1953	23	82			PUNCT
iajs-1953	23	83	and	and	CCONJ
iajs-1953	23	84	is	be	AUX
iajs-1953	23	85	denoted	denote	VERB
iajs-1953	23	86	by	by	ADP
iajs-1953	23	87	}	}	PUNCT
iajs-1953	23	88	)	)	PUNCT
iajs-1953	23	89	{	{	PUNCT
iajs-1953	23	90	,	,	PUNCT
iajs-1953	23	91	(	(	PUNCT
iajs-1953	23	92	~	~	PUNCT
iajs-1953	23	93	ueu	ueu	NOUN
iajs-1953	23	94			NOUN
iajs-1953	23	95	.	.	PUNCT
iajs-1953	24	1	definition	definition	NOUN
iajs-1953	24	2	(	(	PUNCT
iajs-1953	24	3	1.3)[5	1.3)[5	PROPN
iajs-1953	24	4	]	]	PUNCT
iajs-1953	24	5	:	:	PUNCT
iajs-1953	24	6	a	a	DET
iajs-1953	24	7	soft	soft	ADJ
iajs-1953	24	8	point	point	NOUN
iajs-1953	24	9	}	}	PUNCT
iajs-1953	24	10	)	)	PUNCT
iajs-1953	24	11	{	{	PUNCT
iajs-1953	24	12	,	,	PUNCT
iajs-1953	24	13	(	(	PUNCT
iajs-1953	24	14	~	~	PUNCT
iajs-1953	24	15	ueu	ueu	NOUN
iajs-1953	24	16			NOUN
iajs-1953	24	17	is	be	AUX
iajs-1953	24	18	called	call	VERB
iajs-1953	24	19	belongs	belong	VERB
iajs-1953	24	20	to	to	ADP
iajs-1953	24	21	a	a	DET
iajs-1953	24	22	soft	soft	ADJ
iajs-1953	24	23	set	set	NOUN
iajs-1953	24	24	)	)	PUNCT
iajs-1953	24	25	,	,	PUNCT
iajs-1953	24	26	(	(	PUNCT
iajs-1953	24	27	ch	ch	NOUN
iajs-1953	24	28	if	if	SCONJ
iajs-1953	24	29	ce	ce	PROPN
iajs-1953	24	30	and	and	CCONJ
iajs-1953	24	31	)	)	PUNCT
iajs-1953	24	32	(	(	PUNCT
iajs-1953	24	33	ehu	ehu	INTJ
iajs-1953	24	34	,	,	PUNCT
iajs-1953	24	35	and	and	CCONJ
iajs-1953	24	36	is	be	AUX
iajs-1953	24	37	denoted	denote	VERB
iajs-1953	24	38	by	by	ADP
iajs-1953	24	39	)	)	PUNCT
iajs-1953	24	40	,	,	PUNCT
iajs-1953	24	41	(	(	PUNCT
iajs-1953	24	42	~~	~~	NUM
iajs-1953	24	43	chu	chu	X
iajs-1953	24	44	.	.	PUNCT
iajs-1953	25	1	definition	definition	NOUN
iajs-1953	25	2	(	(	PUNCT
iajs-1953	25	3	1.4	1.4	NUM
iajs-1953	25	4	)	)	PUNCT
iajs-1953	26	1	[	[	X
iajs-1953	26	2	5	5	NUM
iajs-1953	26	3	]	]	PUNCT
iajs-1953	26	4	:	:	PUNCT
iajs-1953	26	5	a	a	DET
iajs-1953	26	6	soft	soft	ADJ
iajs-1953	26	7	set	set	NOUN
iajs-1953	26	8	)	)	PUNCT
iajs-1953	26	9	,	,	PUNCT
iajs-1953	26	10	(	(	PUNCT
iajs-1953	26	11	ch	ch	NOUN
iajs-1953	26	12	over	over	ADP
iajs-1953	26	13	u	u	NOUN
iajs-1953	26	14	is	be	AUX
iajs-1953	26	15	called	call	VERB
iajs-1953	26	16	countable	countable	ADJ
iajs-1953	26	17	(	(	PUNCT
iajs-1953	26	18	finite	finite	PROPN
iajs-1953	26	19	)	)	PUNCT
iajs-1953	26	20	if	if	SCONJ
iajs-1953	26	21	the	the	DET
iajs-1953	26	22	set	set	NOUN
iajs-1953	26	23	)	)	PUNCT
iajs-1953	26	24	(	(	PUNCT
iajs-1953	26	25	eh	eh	INTJ
iajs-1953	26	26	is	be	AUX
iajs-1953	26	27	countable	countable	ADJ
iajs-1953	26	28	(	(	PUNCT
iajs-1953	26	29	finite	finite	NOUN
iajs-1953	26	30	)	)	PUNCT
iajs-1953	26	31	ce	ce	PROPN
iajs-1953	26	32	.	.	PUNCT
iajs-1953	27	1	definition	definition	NOUN
iajs-1953	27	2	(	(	PUNCT
iajs-1953	27	3	1.5)[6	1.5)[6	NUM
iajs-1953	27	4	]	]	X
iajs-1953	27	5	:	:	PUNCT
iajs-1953	27	6	a	a	DET
iajs-1953	27	7	soft	soft	ADJ
iajs-1953	27	8	set	set	NOUN
iajs-1953	27	9	)	)	PUNCT
iajs-1953	27	10	,	,	PUNCT
iajs-1953	27	11	(	(	PUNCT
iajs-1953	27	12	ch	ch	NOUN
iajs-1953	27	13	over	over	ADP
iajs-1953	27	14	u	u	NOUN
iajs-1953	27	15	is	be	AUX
iajs-1953	27	16	called	call	VERB
iajs-1953	27	17	a	a	DET
iajs-1953	27	18	null	null	ADJ
iajs-1953	27	19	soft	soft	ADJ
iajs-1953	27	20	set	set	NOUN
iajs-1953	27	21	with	with	ADP
iajs-1953	27	22	respect	respect	NOUN
iajs-1953	27	23	to	to	ADP
iajs-1953	27	24	c	c	NOUN
iajs-1953	27	25	if	if	SCONJ
iajs-1953	27	26	for	for	ADP
iajs-1953	27	27	each	each	DET
iajs-1953	27	28	ce	ce	PROPN
iajs-1953	27	29	,	,	PUNCT
iajs-1953	27	30	φ)(eh	φ)(eh	PROPN
iajs-1953	27	31	,	,	PUNCT
iajs-1953	27	32	and	and	CCONJ
iajs-1953	27	33	is	be	AUX
iajs-1953	27	34	denoted	denote	VERB
iajs-1953	27	35	by	by	ADP
iajs-1953	27	36	cφ	cφ	NOUN
iajs-1953	27	37	~	~	PUNCT
iajs-1953	27	38	.	.	PUNCT
iajs-1953	28	1	if	if	SCONJ
iajs-1953	28	2	pc	pc	NOUN
iajs-1953	28	3			VERB
iajs-1953	28	4	,	,	PUNCT
iajs-1953	28	5	then	then	ADV
iajs-1953	28	6	)	)	PUNCT
iajs-1953	28	7	,	,	PUNCT
iajs-1953	28	8	(	(	PUNCT
iajs-1953	28	9	ch	ch	NOUN
iajs-1953	28	10	is	be	AUX
iajs-1953	28	11	called	call	VERB
iajs-1953	28	12	a	a	DET
iajs-1953	28	13	null	null	ADJ
iajs-1953	28	14	soft	soft	ADJ
iajs-1953	28	15	set	set	NOUN
iajs-1953	28	16	and	and	CCONJ
iajs-1953	28	17	is	be	AUX
iajs-1953	28	18	denoted	denote	VERB
iajs-1953	28	19	by	by	ADP
iajs-1953	28	20	φ~	φ~	NOUN
iajs-1953	28	21	.	.	PUNCT
iajs-1953	29	1	definition	definition	NOUN
iajs-1953	29	2	(	(	PUNCT
iajs-1953	29	3	1.6)[6	1.6)[6	NUM
iajs-1953	29	4	]	]	X
iajs-1953	29	5	:	:	PUNCT
iajs-1953	29	6	a	a	DET
iajs-1953	29	7	soft	soft	ADJ
iajs-1953	29	8	set	set	NOUN
iajs-1953	29	9	)	)	PUNCT
iajs-1953	29	10	,	,	PUNCT
iajs-1953	29	11	(	(	PUNCT
iajs-1953	29	12	ch	ch	NOUN
iajs-1953	29	13	over	over	ADP
iajs-1953	29	14	u	u	NOUN
iajs-1953	29	15	is	be	AUX
iajs-1953	29	16	called	call	VERB
iajs-1953	29	17	an	an	DET
iajs-1953	29	18	absolute	absolute	ADJ
iajs-1953	29	19	soft	soft	ADJ
iajs-1953	29	20	set	set	NOUN
iajs-1953	29	21	with	with	ADP
iajs-1953	29	22	respect	respect	NOUN
iajs-1953	29	23	to	to	ADP
iajs-1953	29	24	c	c	NOUN
iajs-1953	29	25	if	if	SCONJ
iajs-1953	29	26	for	for	ADP
iajs-1953	29	27	each	each	DET
iajs-1953	29	28	ce	ce	PROPN
iajs-1953	29	29	,	,	PUNCT
iajs-1953	29	30	ueh	ueh	VERB
iajs-1953	29	31			NUM
iajs-1953	29	32	)	)	PUNCT
iajs-1953	29	33	(	(	PUNCT
iajs-1953	29	34	,	,	PUNCT
iajs-1953	29	35	and	and	CCONJ
iajs-1953	29	36	is	be	AUX
iajs-1953	29	37	denoted	denote	VERB
iajs-1953	29	38	by	by	ADP
iajs-1953	29	39	cu	cu	PROPN
iajs-1953	29	40	~	~	PUNCT
iajs-1953	29	41	.	.	PUNCT
iajs-1953	30	1	if	if	SCONJ
iajs-1953	30	2	pc	pc	NOUN
iajs-1953	30	3			VERB
iajs-1953	30	4	,	,	PUNCT
iajs-1953	30	5	then	then	ADV
iajs-1953	30	6	)	)	PUNCT
iajs-1953	30	7	,	,	PUNCT
iajs-1953	30	8	(	(	PUNCT
iajs-1953	30	9	ch	ch	NOUN
iajs-1953	30	10	is	be	AUX
iajs-1953	30	11	called	call	VERB
iajs-1953	30	12	an	an	DET
iajs-1953	30	13	absolute	absolute	ADJ
iajs-1953	30	14	soft	soft	ADJ
iajs-1953	30	15	set	set	NOUN
iajs-1953	30	16	and	and	CCONJ
iajs-1953	30	17	is	be	AUX
iajs-1953	30	18	denoted	denote	VERB
iajs-1953	30	19	by	by	ADP
iajs-1953	30	20	u	u	NOUN
iajs-1953	30	21	~	~	PUNCT
iajs-1953	30	22	.	.	PUNCT
iajs-1953	31	1	definition	definition	NOUN
iajs-1953	31	2	(	(	PUNCT
iajs-1953	31	3	1.7)[6	1.7)[6	NOUN
iajs-1953	31	4	]	]	PUNCT
iajs-1953	31	5	:	:	PUNCT
iajs-1953	31	6	let	let	VERB
iajs-1953	31	7	)	)	PUNCT
iajs-1953	31	8	,	,	PUNCT
iajs-1953	31	9	(	(	PUNCT
iajs-1953	31	10	11	11	NUM
iajs-1953	31	11	ch	ch	NOUN
iajs-1953	31	12	and	and	CCONJ
iajs-1953	31	13	)	)	PUNCT
iajs-1953	31	14	,	,	PUNCT
iajs-1953	31	15	(	(	PUNCT
iajs-1953	31	16	22	22	NUM
iajs-1953	31	17	ch	ch	NOUN
iajs-1953	31	18	be	be	AUX
iajs-1953	31	19	soft	soft	ADJ
iajs-1953	31	20	sets	set	NOUN
iajs-1953	31	21	over	over	ADP
iajs-1953	31	22	a	a	DET
iajs-1953	31	23	common	common	ADJ
iajs-1953	31	24	universe	universe	NOUN
iajs-1953	31	25	u.	u.	NOUN
iajs-1953	32	1	then	then	ADV
iajs-1953	32	2	we	we	PRON
iajs-1953	32	3	say	say	VERB
iajs-1953	32	4	that	that	PRON
iajs-1953	32	5	:	:	PUNCT
iajs-1953	32	6	(	(	PUNCT
iajs-1953	32	7	1	1	NUM
iajs-1953	32	8	)	)	PUNCT
iajs-1953	32	9	)	)	PUNCT
iajs-1953	32	10	,	,	PUNCT
iajs-1953	32	11	(	(	PUNCT
iajs-1953	32	12	11	11	NUM
iajs-1953	32	13	ch	ch	NOUN
iajs-1953	32	14	is	be	AUX
iajs-1953	32	15	a	a	DET
iajs-1953	32	16	soft	soft	ADJ
iajs-1953	32	17	subset	subset	NOUN
iajs-1953	32	18	of	of	ADP
iajs-1953	32	19	)	)	PUNCT
iajs-1953	32	20	,	,	PUNCT
iajs-1953	32	21	(	(	PUNCT
iajs-1953	32	22	22	22	NUM
iajs-1953	32	23	ch	ch	NOUN
iajs-1953	32	24	denoted	denote	VERB
iajs-1953	32	25	by	by	ADP
iajs-1953	32	26	)	)	PUNCT
iajs-1953	32	27	,	,	PUNCT
iajs-1953	32	28	(	(	PUNCT
iajs-1953	32	29	~	~	NOUN
iajs-1953	32	30	)	)	PUNCT
iajs-1953	32	31	,	,	PUNCT
iajs-1953	32	32	(	(	PUNCT
iajs-1953	32	33	2211	2211	NUM
iajs-1953	32	34	chch	chch	NOUN
iajs-1953	32	35			PROPN
iajs-1953	32	36	if	if	SCONJ
iajs-1953	32	37	21	21	NUM
iajs-1953	32	38	cc	cc	NOUN
iajs-1953	32	39			PROPN
iajs-1953	32	40	and	and	CCONJ
iajs-1953	32	41	)	)	PUNCT
iajs-1953	32	42	(	(	PUNCT
iajs-1953	32	43	)	)	PUNCT
iajs-1953	32	44	(	(	PUNCT
iajs-1953	32	45	21	21	NUM
iajs-1953	32	46	eheh	eheh	PROPN
iajs-1953	32	47			PROPN
iajs-1953	32	48	for	for	ADP
iajs-1953	32	49	each	each	DET
iajs-1953	32	50	1ce	1ce	PROPN
iajs-1953	32	51	.	.	PUNCT
iajs-1953	33	1	(	(	PUNCT
iajs-1953	33	2	2	2	X
iajs-1953	33	3	)	)	PUNCT
iajs-1953	33	4	the	the	DET
iajs-1953	33	5	soft	soft	ADJ
iajs-1953	33	6	union	union	NOUN
iajs-1953	33	7	of	of	ADP
iajs-1953	33	8	two	two	NUM
iajs-1953	33	9	soft	soft	ADJ
iajs-1953	33	10	sets	set	NOUN
iajs-1953	33	11	)	)	PUNCT
iajs-1953	33	12	,	,	PUNCT
iajs-1953	33	13	(	(	PUNCT
iajs-1953	33	14	11	11	NUM
iajs-1953	33	15	ch	ch	NOUN
iajs-1953	33	16	and	and	CCONJ
iajs-1953	33	17	)	)	PUNCT
iajs-1953	33	18	,	,	PUNCT
iajs-1953	33	19	(	(	PUNCT
iajs-1953	33	20	22	22	NUM
iajs-1953	33	21	ch	ch	NOUN
iajs-1953	33	22	over	over	ADP
iajs-1953	33	23	a	a	DET
iajs-1953	33	24	common	common	ADJ
iajs-1953	33	25	universe	universe	NOUN
iajs-1953	33	26	u	u	NOUN
iajs-1953	33	27	is	be	AUX
iajs-1953	33	28	the	the	DET
iajs-1953	33	29	soft	soft	ADJ
iajs-1953	33	30	set	set	NOUN
iajs-1953	33	31	)	)	PUNCT
iajs-1953	33	32	,	,	PUNCT
iajs-1953	33	33	(	(	PUNCT
iajs-1953	33	34	ch	ch	NOUN
iajs-1953	33	35	,	,	PUNCT
iajs-1953	33	36	where	where	SCONJ
iajs-1953	33	37	21	21	NUM
iajs-1953	33	38	ccc	ccc	NOUN
iajs-1953	33	39			PUNCT
iajs-1953	33	40	,	,	PUNCT
iajs-1953	33	41	and	and	CCONJ
iajs-1953	33	42	ce	ce	PROPN
iajs-1953	33	43	,	,	PUNCT
iajs-1953	33	44			NUM
iajs-1953	33	45			PROPN
iajs-1953	33	46			NUM
iajs-1953	33	47			NUM
iajs-1953	33	48			ADP
iajs-1953	33	49			NOUN
iajs-1953	33	50			PROPN
iajs-1953	33	51			PROPN
iajs-1953	33	52			NUM
iajs-1953	33	53	2121	2121	NUM
iajs-1953	33	54	122	122	NUM
iajs-1953	33	55	211	211	NUM
iajs-1953	33	56	)	)	PUNCT
iajs-1953	33	57	(	(	PUNCT
iajs-1953	33	58	)	)	PUNCT
iajs-1953	33	59	(	(	PUNCT
iajs-1953	33	60	)	)	PUNCT
iajs-1953	33	61	(	(	PUNCT
iajs-1953	33	62	)	)	PUNCT
iajs-1953	33	63	(	(	PUNCT
iajs-1953	33	64	)	)	PUNCT
iajs-1953	33	65	(	(	PUNCT
iajs-1953	33	66	cceifeheh	cceifeheh	PROPN
iajs-1953	33	67	cceifeh	cceifeh	PROPN
iajs-1953	33	68	cceifeh	cceifeh	PROPN
iajs-1953	34	1	eh	eh	INTJ
iajs-1953	34	2			INTJ
iajs-1953	35	1	and	and	CCONJ
iajs-1953	35	2	we	we	PRON
iajs-1953	35	3	write	write	VERB
iajs-1953	35	4	)	)	PUNCT
iajs-1953	35	5	,	,	PUNCT
iajs-1953	35	6	(	(	PUNCT
iajs-1953	35	7	~	~	PUNCT
iajs-1953	35	8	)	)	PUNCT
iajs-1953	35	9	,	,	PUNCT
iajs-1953	35	10	(	(	PUNCT
iajs-1953	35	11	)	)	PUNCT
iajs-1953	35	12	,	,	PUNCT
iajs-1953	35	13	(	(	PUNCT
iajs-1953	35	14	2211	2211	NUM
iajs-1953	35	15	chchch	chchch	NOUN
iajs-1953	35	16			PUNCT
iajs-1953	35	17	.	.	PUNCT
iajs-1953	36	1	https://doi.org/10.30526/31.2.19523	https://doi.org/10.30526/31.2.19523	PROPN
iajs-1953	37	1	https://doi.org/10.30526/31.2.1953	https://doi.org/10.30526/31.2.1953	PROPN
iajs-1953	37	2	mathmatics	mathmatics	PROPN
iajs-1953	37	3	|	|	ADV
iajs-1953	37	4	139	139	NUM
iajs-1953	37	5	8201	8201	NUM
iajs-1953	37	6	(	(	PUNCT
iajs-1953	37	7	عام	عام	ADP
iajs-1953	37	8	2العدد	2العدد	NUM
iajs-1953	37	9	)	)	PUNCT
iajs-1953	37	10	13لمجلد	13لمجلد	NUM
iajs-1953	38	1	ا	ا	INTJ
iajs-1953	39	1	مجلة	مجلة	PROPN
iajs-1953	39	2	إبن	إبن	VERB
iajs-1953	39	3	الهيثم	الهيثم	ADJ
iajs-1953	39	4	للعلوم	للعلوم	NOUN
iajs-1953	39	5	الصرفة	الصرفة	NOUN
iajs-1953	40	1	و	و	PRON
iajs-1953	40	2	التطبيقية	التطبيقية	ADJ
iajs-1953	40	3	ibn	ibn	PROPN
iajs-1953	40	4	al	al	PROPN
iajs-1953	40	5	-	-	PUNCT
iajs-1953	40	6	haitham	haitham	PROPN
iajs-1953	40	7	jour	jour	X
iajs-1953	40	8	.	.	PROPN
iajs-1953	40	9	for	for	ADP
iajs-1953	40	10	pure	pure	ADJ
iajs-1953	40	11	&	&	CCONJ
iajs-1953	40	12	appl	appl	PROPN
iajs-1953	40	13	.	.	PUNCT
iajs-1953	41	1	sci	sci	PROPN
iajs-1953	41	2	.	.	PUNCT
iajs-1953	41	3	vol	vol	NOUN
iajs-1953	41	4	.	.	PROPN
iajs-1953	42	1	31	31	NUM
iajs-1953	42	2	(	(	PUNCT
iajs-1953	42	3	2	2	NUM
iajs-1953	42	4	)	)	PUNCT
iajs-1953	42	5	2018	2018	NUM
iajs-1953	42	6	(	(	PUNCT
iajs-1953	42	7	3	3	X
iajs-1953	42	8	)	)	PUNCT
iajs-1953	42	9	the	the	DET
iajs-1953	42	10	soft	soft	ADJ
iajs-1953	42	11	intersection	intersection	NOUN
iajs-1953	42	12	of	of	ADP
iajs-1953	42	13	two	two	NUM
iajs-1953	42	14	soft	soft	ADJ
iajs-1953	42	15	sets	set	NOUN
iajs-1953	42	16	)	)	PUNCT
iajs-1953	42	17	,	,	PUNCT
iajs-1953	42	18	(	(	PUNCT
iajs-1953	42	19	11	11	NUM
iajs-1953	42	20	ch	ch	NOUN
iajs-1953	42	21	and	and	CCONJ
iajs-1953	42	22	)	)	PUNCT
iajs-1953	42	23	,	,	PUNCT
iajs-1953	42	24	(	(	PUNCT
iajs-1953	42	25	22	22	NUM
iajs-1953	42	26	ch	ch	NOUN
iajs-1953	42	27	over	over	ADP
iajs-1953	42	28	a	a	DET
iajs-1953	42	29	common	common	ADJ
iajs-1953	42	30	universe	universe	NOUN
iajs-1953	42	31	u	u	NOUN
iajs-1953	42	32	is	be	AUX
iajs-1953	42	33	the	the	DET
iajs-1953	42	34	soft	soft	ADJ
iajs-1953	42	35	set	set	NOUN
iajs-1953	42	36	)	)	PUNCT
iajs-1953	42	37	,	,	PUNCT
iajs-1953	42	38	(	(	PUNCT
iajs-1953	42	39	ch	ch	NOUN
iajs-1953	42	40	,	,	PUNCT
iajs-1953	42	41	where	where	SCONJ
iajs-1953	42	42	21	21	NUM
iajs-1953	42	43	ccc	ccc	PROPN
iajs-1953	42	44			NOUN
iajs-1953	42	45	,	,	PUNCT
iajs-1953	42	46	and	and	CCONJ
iajs-1953	42	47	ce	ce	PROPN
iajs-1953	42	48	,	,	PUNCT
iajs-1953	42	49	)	)	PUNCT
iajs-1953	42	50	(	(	PUNCT
iajs-1953	42	51	)	)	PUNCT
iajs-1953	42	52	(	(	PUNCT
iajs-1953	42	53	)	)	PUNCT
iajs-1953	42	54	(	(	PUNCT
iajs-1953	42	55	21	21	NUM
iajs-1953	42	56	eheheh	eheheh	X
iajs-1953	42	57			NOUN
iajs-1953	42	58	,	,	PUNCT
iajs-1953	42	59	and	and	CCONJ
iajs-1953	42	60	we	we	PRON
iajs-1953	42	61	write	write	VERB
iajs-1953	42	62	)	)	PUNCT
iajs-1953	42	63	,	,	PUNCT
iajs-1953	42	64	(	(	PUNCT
iajs-1953	42	65	~	~	PUNCT
iajs-1953	42	66	)	)	PUNCT
iajs-1953	42	67	,	,	PUNCT
iajs-1953	42	68	(	(	PUNCT
iajs-1953	42	69	)	)	PUNCT
iajs-1953	42	70	,	,	PUNCT
iajs-1953	42	71	(	(	PUNCT
iajs-1953	42	72	2211	2211	NUM
iajs-1953	42	73	chchch	chchch	NOUN
iajs-1953	42	74			PROPN
iajs-1953	42	75	.	.	PUNCT
iajs-1953	43	1	(	(	PUNCT
iajs-1953	43	2	4	4	X
iajs-1953	43	3	)	)	PUNCT
iajs-1953	43	4	the	the	DET
iajs-1953	43	5	soft	soft	ADJ
iajs-1953	43	6	difference	difference	NOUN
iajs-1953	43	7	of	of	ADP
iajs-1953	43	8	two	two	NUM
iajs-1953	43	9	soft	soft	ADJ
iajs-1953	43	10	sets	set	NOUN
iajs-1953	43	11	)	)	PUNCT
iajs-1953	43	12	,	,	PUNCT
iajs-1953	43	13	(	(	PUNCT
iajs-1953	43	14	11	11	NUM
iajs-1953	43	15	ch	ch	NOUN
iajs-1953	43	16	and	and	CCONJ
iajs-1953	43	17	)	)	PUNCT
iajs-1953	43	18	,	,	PUNCT
iajs-1953	43	19	(	(	PUNCT
iajs-1953	43	20	22	22	NUM
iajs-1953	43	21	ch	ch	NOUN
iajs-1953	43	22	over	over	ADP
iajs-1953	43	23	a	a	DET
iajs-1953	43	24	common	common	ADJ
iajs-1953	43	25	universe	universe	NOUN
iajs-1953	43	26	u	u	NOUN
iajs-1953	43	27	is	be	AUX
iajs-1953	43	28	the	the	DET
iajs-1953	43	29	soft	soft	ADJ
iajs-1953	43	30	set	set	NOUN
iajs-1953	43	31	)	)	PUNCT
iajs-1953	43	32	,	,	PUNCT
iajs-1953	43	33	(	(	PUNCT
iajs-1953	43	34	ch	ch	NOUN
iajs-1953	43	35	,	,	PUNCT
iajs-1953	43	36	where	where	SCONJ
iajs-1953	43	37	21	21	NUM
iajs-1953	43	38	ccc	ccc	PROPN
iajs-1953	43	39			NOUN
iajs-1953	43	40	,	,	PUNCT
iajs-1953	43	41	and	and	CCONJ
iajs-1953	43	42	ce	ce	PROPN
iajs-1953	43	43	,	,	PUNCT
iajs-1953	43	44	)	)	PUNCT
iajs-1953	43	45	(	(	PUNCT
iajs-1953	43	46	)	)	PUNCT
iajs-1953	43	47	(	(	PUNCT
iajs-1953	43	48	)	)	PUNCT
iajs-1953	43	49	(	(	PUNCT
iajs-1953	43	50	21	21	NUM
iajs-1953	43	51	eheheh	eheheh	X
iajs-1953	43	52			PROPN
iajs-1953	43	53	,	,	PUNCT
iajs-1953	43	54	and	and	CCONJ
iajs-1953	43	55	we	we	PRON
iajs-1953	43	56	write	write	VERB
iajs-1953	43	57	)	)	PUNCT
iajs-1953	43	58	,	,	PUNCT
iajs-1953	43	59	(	(	PUNCT
iajs-1953	43	60	)	)	PUNCT
iajs-1953	43	61	,	,	PUNCT
iajs-1953	43	62	(	(	PUNCT
iajs-1953	43	63	)	)	PUNCT
iajs-1953	43	64	,	,	PUNCT
iajs-1953	43	65	(	(	PUNCT
iajs-1953	43	66	2211	2211	NUM
iajs-1953	43	67	chchch	chchch	NOUN
iajs-1953	43	68			PROPN
iajs-1953	43	69	.	.	PUNCT
iajs-1953	44	1	definition	definition	NOUN
iajs-1953	44	2	(	(	PUNCT
iajs-1953	44	3	1.8)[2	1.8)[2	NOUN
iajs-1953	44	4	]	]	X
iajs-1953	44	5	:	:	PUNCT
iajs-1953	44	6	a	a	DET
iajs-1953	44	7	soft	soft	ADJ
iajs-1953	44	8	topology	topology	NOUN
iajs-1953	44	9	on	on	ADP
iajs-1953	44	10	u	u	PROPN
iajs-1953	44	11	is	be	AUX
iajs-1953	44	12	a	a	DET
iajs-1953	44	13	collection	collection	NOUN
iajs-1953	44	14	τ~	τ~	PROPN
iajs-1953	44	15	of	of	ADP
iajs-1953	44	16	soft	soft	ADJ
iajs-1953	44	17	subsets	subset	NOUN
iajs-1953	44	18	of	of	ADP
iajs-1953	44	19	u	u	NOUN
iajs-1953	44	20	~	~	PUNCT
iajs-1953	44	21	having	have	VERB
iajs-1953	44	22	the	the	DET
iajs-1953	44	23	following	follow	VERB
iajs-1953	44	24	properties	property	NOUN
iajs-1953	44	25	:	:	PUNCT
iajs-1953	44	26	(	(	PUNCT
iajs-1953	44	27	i	i	NOUN
iajs-1953	44	28	)	)	PUNCT
iajs-1953	44	29	τφ	τφ	ADP
iajs-1953	44	30	~~~	~~~	PUNCT
iajs-1953	44	31	and	and	CCONJ
iajs-1953	44	32	τ~~~	τ~~~	NUM
iajs-1953	44	33	u	u	X
iajs-1953	44	34	.	.	PUNCT
iajs-1953	45	1	(	(	PUNCT
iajs-1953	45	2	ii	ii	NOUN
iajs-1953	45	3	)	)	PUNCT
iajs-1953	45	4	if	if	SCONJ
iajs-1953	45	5	τ~~	τ~~	PROPN
iajs-1953	45	6	)	)	PUNCT
iajs-1953	45	7	,	,	PUNCT
iajs-1953	45	8	(	(	PUNCT
iajs-1953	45	9	)	)	PUNCT
iajs-1953	45	10	,	,	PUNCT
iajs-1953	45	11	,	,	PUNCT
iajs-1953	45	12	(	(	PUNCT
iajs-1953	45	13	21	21	NUM
iajs-1953	45	14	phph	phph	NOUN
iajs-1953	45	15	,	,	PUNCT
iajs-1953	45	16	then	then	ADV
iajs-1953	45	17	τ~~	τ~~	PROPN
iajs-1953	45	18	)	)	PUNCT
iajs-1953	45	19	,	,	PUNCT
iajs-1953	45	20	(	(	PUNCT
iajs-1953	45	21	~	~	PUNCT
iajs-1953	45	22	)	)	PUNCT
iajs-1953	45	23	,	,	PUNCT
iajs-1953	45	24	(	(	PUNCT
iajs-1953	45	25	21	21	NUM
iajs-1953	45	26	phph	phph	PROPN
iajs-1953	45	27			PROPN
iajs-1953	45	28	.	.	PUNCT
iajs-1953	46	1	(	(	PUNCT
iajs-1953	46	2	iii	iii	X
iajs-1953	46	3	)	)	PUNCT
iajs-1953	46	4	if	if	SCONJ
iajs-1953	46	5	τ~~	τ~~	PROPN
iajs-1953	46	6	)	)	PUNCT
iajs-1953	46	7	,	,	PUNCT
iajs-1953	46	8	(	(	PUNCT
iajs-1953	46	9	ph	ph	PROPN
iajs-1953	46	10	j	j	PROPN
iajs-1953	46	11	,	,	PUNCT
iajs-1953	46	12			PROPN
iajs-1953	46	13	j	j	PROPN
iajs-1953	46	14	,	,	PUNCT
iajs-1953	46	15	then	then	ADV
iajs-1953	46	16	τ~~	τ~~	PROPN
iajs-1953	46	17	)	)	PUNCT
iajs-1953	46	18	,	,	PUNCT
iajs-1953	46	19	(	(	PUNCT
iajs-1953	46	20			NOUN
iajs-1953	46	21			NUM
iajs-1953	46	22			PROPN
iajs-1953	46	23	j	j	PROPN
iajs-1953	46	24	j	j	PROPN
iajs-1953	46	25	ph	ph	PROPN
iajs-1953	46	26	.	.	PUNCT
iajs-1953	47	1	the	the	DET
iajs-1953	47	2	triple	triple	ADJ
iajs-1953	47	3	)	)	PUNCT
iajs-1953	47	4	,	,	PUNCT
iajs-1953	47	5	~	~	PUNCT
iajs-1953	47	6	,	,	PUNCT
iajs-1953	47	7	(	(	PUNCT
iajs-1953	47	8	pu	pu	PROPN
iajs-1953	47	9	τ	τ	PROPN
iajs-1953	47	10	is	be	AUX
iajs-1953	47	11	called	call	VERB
iajs-1953	47	12	a	a	DET
iajs-1953	47	13	soft	soft	ADJ
iajs-1953	47	14	topological	topological	ADJ
iajs-1953	47	15	space	space	NOUN
iajs-1953	47	16	over	over	ADP
iajs-1953	47	17	u.	u.	VERB
iajs-1953	47	18	the	the	DET
iajs-1953	47	19	members	member	NOUN
iajs-1953	47	20	of	of	ADP
iajs-1953	47	21	τ~	τ~	PROPN
iajs-1953	47	22	are	be	AUX
iajs-1953	47	23	called	call	VERB
iajs-1953	47	24	soft	soft	ADJ
iajs-1953	47	25	open	open	ADJ
iajs-1953	47	26	sets	set	NOUN
iajs-1953	47	27	over	over	ADP
iajs-1953	47	28	u.	u.	VERB
iajs-1953	47	29	the	the	DET
iajs-1953	47	30	complement	complement	NOUN
iajs-1953	47	31	of	of	ADP
iajs-1953	47	32	a	a	DET
iajs-1953	47	33	soft	soft	ADJ
iajs-1953	47	34	open	open	ADJ
iajs-1953	47	35	set	set	NOUN
iajs-1953	47	36	is	be	AUX
iajs-1953	47	37	called	call	VERB
iajs-1953	47	38	soft	soft	ADJ
iajs-1953	47	39	closed	closed	ADJ
iajs-1953	47	40	.	.	PUNCT
iajs-1953	48	1	definition	definition	NOUN
iajs-1953	48	2	(	(	PUNCT
iajs-1953	48	3	1.9)[3	1.9)[3	PROPN
iajs-1953	48	4	]	]	PUNCT
iajs-1953	48	5	:	:	PUNCT
iajs-1953	48	6	let	let	VERB
iajs-1953	48	7	u	u	PRON
iajs-1953	48	8	be	be	AUX
iajs-1953	48	9	a	a	DET
iajs-1953	48	10	non	non	ADJ
iajs-1953	48	11	-	-	ADJ
iajs-1953	48	12	empty	empty	ADJ
iajs-1953	48	13	set	set	NOUN
iajs-1953	48	14	and	and	CCONJ
iajs-1953	48	15	let	let	VERB
iajs-1953	48	16	1	1	NUM
iajs-1953	48	17	~τ	~τ	PUNCT
iajs-1953	48	18	and	and	CCONJ
iajs-1953	48	19	2	2	NUM
iajs-1953	48	20	~τ	~τ	PUNCT
iajs-1953	48	21	be	be	AUX
iajs-1953	48	22	two	two	NUM
iajs-1953	48	23	soft	soft	ADJ
iajs-1953	48	24	topologies	topology	NOUN
iajs-1953	48	25	over	over	ADP
iajs-1953	48	26	u.	u.	NOUN
iajs-1953	48	27	then	then	ADV
iajs-1953	48	28	)	)	PUNCT
iajs-1953	48	29	,	,	PUNCT
iajs-1953	48	30	~,~	~,~	NUM
iajs-1953	48	31	,	,	PUNCT
iajs-1953	48	32	(	(	PUNCT
iajs-1953	48	33	21	21	NUM
iajs-1953	48	34	pu	pu	PROPN
iajs-1953	48	35	ττ	ττ	PROPN
iajs-1953	48	36	is	be	AUX
iajs-1953	48	37	called	call	VERB
iajs-1953	48	38	a	a	DET
iajs-1953	48	39	soft	soft	ADJ
iajs-1953	48	40	bitopological	bitopological	ADJ
iajs-1953	48	41	space	space	NOUN
iajs-1953	48	42	over	over	ADP
iajs-1953	48	43	u.	u.	NOUN
iajs-1953	48	44	definition	definition	NOUN
iajs-1953	48	45	(	(	PUNCT
iajs-1953	48	46	1.10)[3	1.10)[3	VERB
iajs-1953	48	47	]	]	PUNCT
iajs-1953	48	48	:	:	PUNCT
iajs-1953	48	49	a	a	DET
iajs-1953	48	50	soft	soft	ADJ
iajs-1953	48	51	subset	subset	NOUN
iajs-1953	48	52	)	)	PUNCT
iajs-1953	48	53	,	,	PUNCT
iajs-1953	48	54	(	(	PUNCT
iajs-1953	48	55	ph	ph	NOUN
iajs-1953	48	56	of	of	ADP
iajs-1953	48	57	a	a	DET
iajs-1953	48	58	soft	soft	ADJ
iajs-1953	48	59	bitopological	bitopological	ADJ
iajs-1953	48	60	space	space	NOUN
iajs-1953	48	61	)	)	PUNCT
iajs-1953	48	62	,	,	PUNCT
iajs-1953	48	63	~,~	~,~	NUM
iajs-1953	48	64	,	,	PUNCT
iajs-1953	48	65	(	(	PUNCT
iajs-1953	48	66	21	21	NUM
iajs-1953	48	67	pu	pu	PROPN
iajs-1953	48	68	ττ	ττ	PROPN
iajs-1953	48	69	is	be	AUX
iajs-1953	48	70	called	call	VERB
iajs-1953	48	71	soft	soft	ADJ
iajs-1953	48	72	21	21	NUM
iajs-1953	48	73	~~	~~	NUM
iajs-1953	48	74	ττ	ττ	NOUN
iajs-1953	48	75	-open	-open	ADJ
iajs-1953	48	76	if	if	SCONJ
iajs-1953	48	77	)	)	PUNCT
iajs-1953	48	78	,	,	PUNCT
iajs-1953	48	79	(	(	PUNCT
iajs-1953	48	80	~	~	PUNCT
iajs-1953	48	81	)	)	PUNCT
iajs-1953	48	82	,	,	PUNCT
iajs-1953	48	83	(	(	PUNCT
iajs-1953	48	84	)	)	PUNCT
iajs-1953	48	85	,	,	PUNCT
iajs-1953	48	86	(	(	PUNCT
iajs-1953	48	87	21	21	NUM
iajs-1953	48	88	phphph	phphph	NOUN
iajs-1953	48	89			NOUN
iajs-1953	48	90	such	such	ADJ
iajs-1953	48	91	that	that	SCONJ
iajs-1953	48	92	11	11	NUM
iajs-1953	48	93	~~	~~	NUM
iajs-1953	48	94	)	)	PUNCT
iajs-1953	48	95	,	,	PUNCT
iajs-1953	48	96	(	(	PUNCT
iajs-1953	48	97	τph	τph	PUNCT
iajs-1953	48	98	and	and	CCONJ
iajs-1953	48	99	22	22	NUM
iajs-1953	48	100	~~	~~	NUM
iajs-1953	48	101	)	)	PUNCT
iajs-1953	48	102	,	,	PUNCT
iajs-1953	48	103	(	(	PUNCT
iajs-1953	48	104	τph	τph	PUNCT
iajs-1953	48	105	.	.	PUNCT
iajs-1953	49	1	the	the	DET
iajs-1953	49	2	complement	complement	NOUN
iajs-1953	49	3	of	of	ADP
iajs-1953	49	4	a	a	DET
iajs-1953	49	5	soft	soft	ADJ
iajs-1953	49	6	21	21	NUM
iajs-1953	49	7	~~	~~	NUM
iajs-1953	49	8	ττ	ττ	PART
iajs-1953	49	9	-open	-open	PROPN
iajs-1953	49	10	set	set	VERB
iajs-1953	49	11	in	in	ADP
iajs-1953	49	12	u	u	NOUN
iajs-1953	49	13	~	~	PUNCT
iajs-1953	49	14	is	be	AUX
iajs-1953	49	15	called	call	VERB
iajs-1953	49	16	soft	soft	ADJ
iajs-1953	49	17	21	21	NUM
iajs-1953	49	18	~~	~~	NUM
iajs-1953	49	19	ττ	ττ	PROPN
iajs-1953	49	20	-closed	-close	VERB
iajs-1953	49	21	.	.	PUNCT
iajs-1953	50	1	definitions	definition	NOUN
iajs-1953	50	2	(	(	PUNCT
iajs-1953	50	3	1.11)[7	1.11)[7	NOUN
iajs-1953	50	4	]	]	X
iajs-1953	50	5	:	:	PUNCT
iajs-1953	50	6	a	a	DET
iajs-1953	50	7	soft	soft	ADJ
iajs-1953	50	8	bitopological	bitopological	ADJ
iajs-1953	50	9	space	space	NOUN
iajs-1953	50	10	)	)	PUNCT
iajs-1953	50	11	,	,	PUNCT
iajs-1953	50	12	~,~	~,~	NUM
iajs-1953	50	13	,	,	PUNCT
iajs-1953	50	14	(	(	PUNCT
iajs-1953	50	15	21	21	NUM
iajs-1953	50	16	pu	pu	PROPN
iajs-1953	50	17	ττ	ττ	PROPN
iajs-1953	50	18	is	be	AUX
iajs-1953	50	19	called	call	VERB
iajs-1953	50	20	a	a	DET
iajs-1953	50	21	soft	soft	ADJ
iajs-1953	50	22	(	(	PUNCT
iajs-1953	50	23	1,2)*0	1,2)*0	NUM
iajs-1953	50	24	~	~	PUNCT
iajs-1953	50	25	t	t	NOUN
iajs-1953	50	26	-space	-space	NOUN
iajs-1953	50	27	if	if	SCONJ
iajs-1953	50	28	for	for	ADP
iajs-1953	50	29	any	any	DET
iajs-1953	50	30	two	two	NUM
iajs-1953	50	31	distinct	distinct	ADJ
iajs-1953	50	32	soft	soft	ADJ
iajs-1953	50	33	points	point	NOUN
iajs-1953	50	34	x~	x~	PRON
iajs-1953	50	35	and	and	CCONJ
iajs-1953	50	36	y~	y~	PROPN
iajs-1953	50	37	of	of	ADP
iajs-1953	50	38	u	u	PROPN
iajs-1953	50	39	~	~	PUNCT
iajs-1953	50	40	,	,	PUNCT
iajs-1953	50	41	there	there	PRON
iajs-1953	50	42	exists	exist	VERB
iajs-1953	50	43	a	a	DET
iajs-1953	50	44	soft	soft	ADJ
iajs-1953	50	45	21	21	NUM
iajs-1953	50	46	~~	~~	NUM
iajs-1953	50	47	ττ	ττ	PART
iajs-1953	50	48	-open	-open	PROPN
iajs-1953	50	49	set	set	VERB
iajs-1953	50	50	in	in	ADP
iajs-1953	50	51	u	u	NOUN
iajs-1953	50	52	~	~	PUNCT
iajs-1953	50	53	containing	contain	VERB
iajs-1953	50	54	one	one	NUM
iajs-1953	50	55	of	of	ADP
iajs-1953	50	56	the	the	DET
iajs-1953	50	57	soft	soft	ADJ
iajs-1953	50	58	points	point	NOUN
iajs-1953	50	59	but	but	CCONJ
iajs-1953	50	60	not	not	PART
iajs-1953	50	61	the	the	DET
iajs-1953	50	62	other	other	ADJ
iajs-1953	50	63	.	.	PUNCT
iajs-1953	51	1	definition	definition	NOUN
iajs-1953	51	2	(	(	PUNCT
iajs-1953	51	3	1.12)[7	1.12)[7	NOUN
iajs-1953	51	4	]	]	X
iajs-1953	51	5	:	:	PUNCT
iajs-1953	51	6	a	a	DET
iajs-1953	51	7	soft	soft	ADJ
iajs-1953	51	8	bitopological	bitopological	ADJ
iajs-1953	51	9	space	space	NOUN
iajs-1953	51	10	)	)	PUNCT
iajs-1953	51	11	,	,	PUNCT
iajs-1953	51	12	~,~	~,~	NUM
iajs-1953	51	13	,	,	PUNCT
iajs-1953	51	14	(	(	PUNCT
iajs-1953	51	15	21	21	NUM
iajs-1953	51	16	pu	pu	PROPN
iajs-1953	51	17	ττ	ττ	PROPN
iajs-1953	51	18	is	be	AUX
iajs-1953	51	19	called	call	VERB
iajs-1953	51	20	a	a	DET
iajs-1953	51	21	soft	soft	ADJ
iajs-1953	51	22	(	(	PUNCT
iajs-1953	51	23	1,2)*2	1,2)*2	NUM
iajs-1953	51	24	1	1	NUM
iajs-1953	51	25	~	~	PUNCT
iajs-1953	51	26	t	t	NOUN
iajs-1953	51	27	-space	-space	NOUN
iajs-1953	51	28	if	if	SCONJ
iajs-1953	51	29	every	every	DET
iajs-1953	51	30	soft	soft	ADJ
iajs-1953	51	31	singleton	singleton	NOUN
iajs-1953	51	32	set	set	VERB
iajs-1953	51	33	inu	inu	NOUN
iajs-1953	51	34	~	~	PUNCT
iajs-1953	51	35	is	be	AUX
iajs-1953	51	36	either	either	CCONJ
iajs-1953	51	37	soft	soft	ADJ
iajs-1953	51	38	21	21	NUM
iajs-1953	51	39	~~	~~	NUM
iajs-1953	51	40	ττ	ττ	ADP
iajs-1953	51	41	-open	-open	ADJ
iajs-1953	51	42	or	or	CCONJ
iajs-1953	51	43	soft	soft	ADJ
iajs-1953	51	44	21	21	NUM
iajs-1953	51	45	~~	~~	NUM
iajs-1953	51	46	ττ	ττ	PROPN
iajs-1953	51	47	-closed	-close	VERB
iajs-1953	51	48	.	.	PUNCT
iajs-1953	52	1	definition	definition	NOUN
iajs-1953	52	2	(	(	PUNCT
iajs-1953	52	3	1.13)[7	1.13)[7	NOUN
iajs-1953	52	4	]	]	X
iajs-1953	52	5	:	:	PUNCT
iajs-1953	52	6	a	a	DET
iajs-1953	52	7	soft	soft	ADJ
iajs-1953	52	8	bitopological	bitopological	ADJ
iajs-1953	52	9	space	space	NOUN
iajs-1953	52	10	)	)	PUNCT
iajs-1953	52	11	,	,	PUNCT
iajs-1953	52	12	~,~	~,~	NUM
iajs-1953	52	13	,	,	PUNCT
iajs-1953	52	14	(	(	PUNCT
iajs-1953	52	15	21	21	NUM
iajs-1953	52	16	pu	pu	PROPN
iajs-1953	52	17	ττ	ττ	PROPN
iajs-1953	52	18	is	be	AUX
iajs-1953	52	19	called	call	VERB
iajs-1953	52	20	a	a	DET
iajs-1953	52	21	soft	soft	ADJ
iajs-1953	52	22	(	(	PUNCT
iajs-1953	52	23	1,2)*1	1,2)*1	NUM
iajs-1953	52	24	~	~	PUNCT
iajs-1953	52	25	t	t	NOUN
iajs-1953	52	26	-space	-space	NOUN
iajs-1953	52	27	if	if	SCONJ
iajs-1953	52	28	for	for	ADP
iajs-1953	52	29	any	any	DET
iajs-1953	52	30	two	two	NUM
iajs-1953	52	31	distinct	distinct	ADJ
iajs-1953	52	32	soft	soft	ADJ
iajs-1953	52	33	points	point	NOUN
iajs-1953	52	34	x~	x~	PRON
iajs-1953	52	35	and	and	CCONJ
iajs-1953	52	36	y~	y~	PROPN
iajs-1953	52	37	of	of	ADP
iajs-1953	52	38	u	u	PROPN
iajs-1953	52	39	~	~	PUNCT
iajs-1953	52	40	,	,	PUNCT
iajs-1953	52	41	there	there	PRON
iajs-1953	52	42	exists	exist	VERB
iajs-1953	52	43	a	a	DET
iajs-1953	52	44	soft	soft	ADJ
iajs-1953	52	45	21	21	NUM
iajs-1953	52	46	~~	~~	NUM
iajs-1953	52	47	ττ	ττ	PART
iajs-1953	52	48	-open	-open	PROPN
iajs-1953	52	49	set	set	VERB
iajs-1953	52	50	in	in	ADP
iajs-1953	52	51	u	u	NOUN
iajs-1953	52	52	~	~	PUNCT
iajs-1953	52	53	containing	contain	VERB
iajs-1953	52	54	x~	x~	PROPN
iajs-1953	52	55	but	but	CCONJ
iajs-1953	52	56	not	not	PART
iajs-1953	52	57	y~	y~	PROPN
iajs-1953	52	58	and	and	CCONJ
iajs-1953	52	59	a	a	DET
iajs-1953	52	60	soft	soft	ADJ
iajs-1953	52	61	21	21	NUM
iajs-1953	52	62	~~	~~	NUM
iajs-1953	52	63	ττ	ττ	PART
iajs-1953	52	64	-open	-open	PROPN
iajs-1953	52	65	set	set	VERB
iajs-1953	52	66	in	in	ADP
iajs-1953	52	67	u	u	NOUN
iajs-1953	52	68	~	~	PUNCT
iajs-1953	52	69	containing	contain	VERB
iajs-1953	52	70	y~	y~	PROPN
iajs-1953	52	71	but	but	CCONJ
iajs-1953	52	72	not	not	PART
iajs-1953	52	73	x~	x~	PROPN
iajs-1953	52	74	.	.	PUNCT
iajs-1953	53	1	definition	definition	NOUN
iajs-1953	53	2	(	(	PUNCT
iajs-1953	53	3	1.14)[7	1.14)[7	PROPN
iajs-1953	53	4	]	]	X
iajs-1953	53	5	:	:	PUNCT
iajs-1953	53	6	a	a	DET
iajs-1953	53	7	soft	soft	ADJ
iajs-1953	53	8	bitopological	bitopological	ADJ
iajs-1953	53	9	space	space	NOUN
iajs-1953	53	10	)	)	PUNCT
iajs-1953	53	11	,	,	PUNCT
iajs-1953	53	12	~,~	~,~	NUM
iajs-1953	53	13	,	,	PUNCT
iajs-1953	53	14	(	(	PUNCT
iajs-1953	53	15	21	21	NUM
iajs-1953	53	16	pu	pu	PROPN
iajs-1953	53	17	ττ	ττ	PROPN
iajs-1953	53	18	is	be	AUX
iajs-1953	53	19	called	call	VERB
iajs-1953	53	20	a	a	DET
iajs-1953	53	21	soft	soft	ADJ
iajs-1953	53	22	(	(	PUNCT
iajs-1953	53	23	1,2)*2	1,2)*2	NUM
iajs-1953	53	24	~	~	PUNCT
iajs-1953	53	25	t	t	NOUN
iajs-1953	53	26	-space	-space	NOUN
iajs-1953	53	27	if	if	SCONJ
iajs-1953	53	28	for	for	ADP
iajs-1953	53	29	any	any	DET
iajs-1953	53	30	two	two	NUM
iajs-1953	53	31	distinct	distinct	ADJ
iajs-1953	53	32	soft	soft	ADJ
iajs-1953	53	33	points	point	NOUN
iajs-1953	53	34	x~	x~	PRON
iajs-1953	53	35	and	and	CCONJ
iajs-1953	53	36	y~	y~	PROPN
iajs-1953	53	37	of	of	ADP
iajs-1953	53	38	u	u	PROPN
iajs-1953	53	39	~	~	PUNCT
iajs-1953	53	40	,	,	PUNCT
iajs-1953	53	41	there	there	PRON
iajs-1953	53	42	are	be	VERB
iajs-1953	53	43	two	two	NUM
iajs-1953	53	44	soft	soft	ADJ
iajs-1953	53	45	21	21	NUM
iajs-1953	53	46	~~	~~	NUM
iajs-1953	53	47	ττ	ττ	NOUN
iajs-1953	53	48	-open	-open	PROPN
iajs-1953	53	49	sets	set	NOUN
iajs-1953	53	50	)	)	PUNCT
iajs-1953	53	51	,	,	PUNCT
iajs-1953	53	52	(	(	PUNCT
iajs-1953	53	53	ph	ph	NOUN
iajs-1953	53	54	and	and	CCONJ
iajs-1953	53	55	)	)	PUNCT
iajs-1953	53	56	,	,	PUNCT
iajs-1953	53	57	(	(	PUNCT
iajs-1953	53	58	pk	pk	NOUN
iajs-1953	53	59	in	in	ADP
iajs-1953	53	60	u	u	NOUN
iajs-1953	53	61	~	~	PUNCT
iajs-1953	53	62	such	such	ADJ
iajs-1953	53	63	that	that	PRON
iajs-1953	53	64	)	)	PUNCT
iajs-1953	53	65	,	,	PUNCT
iajs-1953	53	66	(	(	PUNCT
iajs-1953	53	67	~~	~~	NUM
iajs-1953	53	68	phx	phx	ADV
iajs-1953	53	69	,	,	PUNCT
iajs-1953	53	70	)	)	PUNCT
iajs-1953	53	71	,	,	PUNCT
iajs-1953	53	72	(	(	PUNCT
iajs-1953	53	73	~~	~~	NUM
iajs-1953	53	74	pky	pky	NOUN
iajs-1953	53	75	and	and	CCONJ
iajs-1953	53	76	φ~	φ~	NOUN
iajs-1953	53	77	)	)	PUNCT
iajs-1953	53	78	,	,	PUNCT
iajs-1953	53	79	(	(	PUNCT
iajs-1953	53	80	~	~	PUNCT
iajs-1953	53	81	)	)	PUNCT
iajs-1953	53	82	,	,	PUNCT
iajs-1953	53	83	(	(	PUNCT
iajs-1953	53	84	pkph	pkph	PUNCT
iajs-1953	53	85			PROPN
iajs-1953	53	86	.	.	PUNCT
iajs-1953	54	1	definition	definition	NOUN
iajs-1953	54	2	(	(	PUNCT
iajs-1953	54	3	1.15	1.15	NUM
iajs-1953	54	4	)	)	PUNCT
iajs-1953	55	1	[	[	X
iajs-1953	55	2	4	4	NUM
iajs-1953	55	3	]	]	X
iajs-1953	55	4	:	:	PUNCT
iajs-1953	55	5	a	a	DET
iajs-1953	55	6	soft	soft	ADJ
iajs-1953	55	7	subset	subset	NOUN
iajs-1953	55	8	)	)	PUNCT
iajs-1953	55	9	,	,	PUNCT
iajs-1953	55	10	(	(	PUNCT
iajs-1953	55	11	ph	ph	NOUN
iajs-1953	55	12	of	of	ADP
iajs-1953	55	13	a	a	DET
iajs-1953	55	14	soft	soft	ADJ
iajs-1953	55	15	bitopological	bitopological	ADJ
iajs-1953	55	16	space	space	NOUN
iajs-1953	55	17	)	)	PUNCT
iajs-1953	55	18	,	,	PUNCT
iajs-1953	55	19	~,~	~,~	NUM
iajs-1953	55	20	,	,	PUNCT
iajs-1953	55	21	(	(	PUNCT
iajs-1953	55	22	21	21	NUM
iajs-1953	55	23	pu	pu	PROPN
iajs-1953	55	24	ττ	ττ	PROPN
iajs-1953	55	25	is	be	AUX
iajs-1953	55	26	called	call	VERB
iajs-1953	55	27	soft	soft	ADJ
iajs-1953	55	28	(	(	PUNCT
iajs-1953	55	29	1,2)*-omega	1,2)*-omega	NUM
iajs-1953	55	30	open	open	ADJ
iajs-1953	55	31	(	(	PUNCT
iajs-1953	55	32	briefly	briefly	ADV
iajs-1953	55	33	soft	soft	ADJ
iajs-1953	55	34	(	(	PUNCT
iajs-1953	55	35	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	55	36	-	-	ADJ
iajs-1953	55	37	open	open	ADJ
iajs-1953	55	38	)	)	PUNCT
iajs-1953	55	39	if	if	SCONJ
iajs-1953	55	40	for	for	ADP
iajs-1953	55	41	each	each	PRON
iajs-1953	55	42	)	)	PUNCT
iajs-1953	55	43	,	,	PUNCT
iajs-1953	55	44	(	(	PUNCT
iajs-1953	55	45	~~	~~	NUM
iajs-1953	55	46	phx	phx	ADV
iajs-1953	55	47	,	,	PUNCT
iajs-1953	55	48	there	there	PRON
iajs-1953	55	49	exists	exist	VERB
iajs-1953	55	50	a	a	DET
iajs-1953	55	51	soft	soft	ADJ
iajs-1953	55	52	21	21	NUM
iajs-1953	55	53	~~	~~	NUM
iajs-1953	55	54	ττ	ττ	PART
iajs-1953	55	55	-open	-open	PROPN
iajs-1953	55	56	set	set	NOUN
iajs-1953	55	57	)	)	PUNCT
iajs-1953	55	58	,	,	PUNCT
iajs-1953	55	59	(	(	PUNCT
iajs-1953	55	60	po	po	X
iajs-1953	55	61	in	in	ADP
iajs-1953	55	62	u	u	NOUN
iajs-1953	55	63	~	~	PUNCT
iajs-1953	55	64	such	such	ADJ
iajs-1953	55	65	that	that	PRON
iajs-1953	55	66	)	)	PUNCT
iajs-1953	55	67	,	,	PUNCT
iajs-1953	55	68	(	(	PUNCT
iajs-1953	55	69	~~	~~	NUM
iajs-1953	55	70	pox	pox	NOUN
iajs-1953	55	71	and	and	CCONJ
iajs-1953	55	72	)	)	PUNCT
iajs-1953	55	73	,	,	PUNCT
iajs-1953	55	74	(	(	PUNCT
iajs-1953	55	75	)	)	PUNCT
iajs-1953	55	76	,	,	PUNCT
iajs-1953	55	77	(	(	PUNCT
iajs-1953	55	78	phpo	phpo	PROPN
iajs-1953	55	79			PROPN
iajs-1953	55	80	is	be	AUX
iajs-1953	55	81	a	a	DET
iajs-1953	55	82	countable	countable	ADJ
iajs-1953	55	83	soft	soft	ADJ
iajs-1953	55	84	set	set	NOUN
iajs-1953	55	85	.	.	PUNCT
iajs-1953	56	1	the	the	DET
iajs-1953	56	2	complement	complement	NOUN
iajs-1953	56	3	of	of	ADP
iajs-1953	56	4	a	a	DET
iajs-1953	56	5	soft	soft	ADJ
iajs-1953	56	6	(	(	PUNCT
iajs-1953	56	7	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	56	8	-	-	PUNCT
iajs-1953	56	9	open	open	ADJ
iajs-1953	56	10	set	set	NOUN
iajs-1953	56	11	is	be	AUX
iajs-1953	56	12	called	call	VERB
iajs-1953	56	13	soft	soft	ADJ
iajs-1953	56	14	(	(	PUNCT
iajs-1953	56	15	1,2)*-omega	1,2)*-omega	NUM
iajs-1953	56	16	closed	closed	ADJ
iajs-1953	56	17	(	(	PUNCT
iajs-1953	56	18	briefly	briefly	ADV
iajs-1953	56	19	soft	soft	ADJ
iajs-1953	56	20	(	(	PUNCT
iajs-1953	56	21	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	56	22	-	-	PUNCT
iajs-1953	56	23	closed	closed	ADJ
iajs-1953	56	24	)	)	PUNCT
iajs-1953	56	25	.	.	PUNCT
iajs-1953	57	1	clearly	clearly	ADV
iajs-1953	57	2	,	,	PUNCT
iajs-1953	57	3	every	every	DET
iajs-1953	57	4	soft	soft	ADJ
iajs-1953	57	5	21	21	NUM
iajs-1953	57	6	~~	~~	NUM
iajs-1953	57	7	ττ	ττ	PART
iajs-1953	57	8	-open	-open	PROPN
iajs-1953	57	9	set	set	NOUN
iajs-1953	57	10	is	be	AUX
iajs-1953	57	11	soft	soft	ADJ
iajs-1953	57	12	(	(	PUNCT
iajs-1953	57	13	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	57	14	-	-	NOUN
iajs-1953	57	15	open	open	ADJ
iajs-1953	57	16	,	,	PUNCT
iajs-1953	57	17	but	but	CCONJ
iajs-1953	57	18	the	the	DET
iajs-1953	57	19	converse	converse	NOUN
iajs-1953	57	20	in	in	ADP
iajs-1953	57	21	general	general	ADJ
iajs-1953	57	22	is	be	AUX
iajs-1953	57	23	not	not	PART
iajs-1953	57	24	true	true	ADJ
iajs-1953	57	25	we	we	PRON
iajs-1953	57	26	can	can	AUX
iajs-1953	57	27	see	see	VERB
iajs-1953	57	28	in	in	ADP
iajs-1953	57	29	the	the	DET
iajs-1953	57	30	following	follow	VERB
iajs-1953	57	31	example	example	NOUN
iajs-1953	57	32	:	:	PUNCT
iajs-1953	57	33	example	example	NOUN
iajs-1953	57	34	(	(	PUNCT
iajs-1953	57	35	1.16	1.16	NUM
iajs-1953	57	36	):	):	PUNCT
iajs-1953	57	37	let	let	VERB
iajs-1953	57	38	}	}	PUNCT
iajs-1953	57	39	3,2,1{u	3,2,1{u	NUM
iajs-1953	57	40	and	and	CCONJ
iajs-1953	57	41	}	}	PUNCT
iajs-1953	57	42	,	,	PUNCT
iajs-1953	57	43	{	{	PUNCT
iajs-1953	57	44	21	21	NUM
iajs-1953	57	45	ppp	ppp	NOUN
iajs-1953	57	46			NOUN
iajs-1953	57	47	,	,	PUNCT
iajs-1953	57	48	and	and	CCONJ
iajs-1953	57	49	let	let	VERB
iajs-1953	57	50	)	)	PUNCT
iajs-1953	57	51	}	}	PUNCT
iajs-1953	57	52	,	,	PUNCT
iajs-1953	57	53	(	(	PUNCT
iajs-1953	57	54	,	,	PUNCT
iajs-1953	57	55	~	~	PROPN
iajs-1953	57	56	,	,	PUNCT
iajs-1953	57	57	~	~	PUNCT
iajs-1953	57	58	{	{	PUNCT
iajs-1953	57	59	~	~	PUNCT
iajs-1953	57	60	11	11	NUM
iajs-1953	57	61	phu	phu	NOUN
iajs-1953	57	62	φτ	φτ	NOUN
iajs-1953	57	63			PROPN
iajs-1953	57	64	and	and	CCONJ
iajs-1953	57	65	,	,	PUNCT
iajs-1953	57	66	~	~	PUNCT
iajs-1953	57	67	{	{	PUNCT
iajs-1953	57	68	~	~	PUNCT
iajs-1953	57	69	2	2	NUM
iajs-1953	57	70	uτ	uτ	NOUN
iajs-1953	57	71	)	)	PUNCT
iajs-1953	57	72	}	}	PUNCT
iajs-1953	57	73	,	,	PUNCT
iajs-1953	57	74	(	(	PUNCT
iajs-1953	57	75	,	,	PUNCT
iajs-1953	57	76	~	~	SYM
iajs-1953	57	77	2	2	NUM
iajs-1953	57	78	phφ	phφ	NOUN
iajs-1953	57	79	be	be	AUX
iajs-1953	57	80	soft	soft	ADJ
iajs-1953	57	81	topologies	topology	NOUN
iajs-1953	57	82	over	over	ADP
iajs-1953	57	83	u	u	NOUN
iajs-1953	57	84	,	,	PUNCT
iajs-1953	57	85	where	where	SCONJ
iajs-1953	57	86	}	}	PUNCT
iajs-1953	57	87	)	)	PUNCT
iajs-1953	57	88	}	}	PUNCT
iajs-1953	57	89	2,1	2,1	NUM
iajs-1953	57	90	{	{	PUNCT
iajs-1953	57	91	,	,	PUNCT
iajs-1953	57	92	(	(	PUNCT
iajs-1953	57	93	}	}	PUNCT
iajs-1953	57	94	)	)	PUNCT
iajs-1953	57	95	,	,	PUNCT
iajs-1953	57	96	{	{	PUNCT
iajs-1953	57	97	,	,	PUNCT
iajs-1953	57	98	{	{	PUNCT
iajs-1953	57	99	(	(	PUNCT
iajs-1953	57	100	)	)	PUNCT
iajs-1953	57	101	,	,	PUNCT
iajs-1953	57	102	(	(	PUNCT
iajs-1953	57	103	211	211	NUM
iajs-1953	57	104	pupph	pupph	NOUN
iajs-1953	57	105			PROPN
iajs-1953	57	106	and	and	CCONJ
iajs-1953	57	107			NUM
iajs-1953	57	108	)	)	PUNCT
iajs-1953	57	109	,	,	PUNCT
iajs-1953	57	110	(	(	PUNCT
iajs-1953	57	111	2	2	NUM
iajs-1953	57	112	ph	ph	NOUN
iajs-1953	57	113	https://doi.org/10.30526/31.2.19523	https://doi.org/10.30526/31.2.19523	PROPN
iajs-1953	58	1	https://doi.org/10.30526/31.2.1953	https://doi.org/10.30526/31.2.1953	PROPN
iajs-1953	58	2	mathmatics	mathmatic	NOUN
iajs-1953	58	3	|	|	ADV
iajs-1953	58	4	140	140	NUM
iajs-1953	58	5	8201	8201	NUM
iajs-1953	58	6	(	(	PUNCT
iajs-1953	58	7	عام	عام	ADP
iajs-1953	58	8	2العدد	2العدد	NUM
iajs-1953	58	9	)	)	PUNCT
iajs-1953	58	10	13لمجلد	13لمجلد	NUM
iajs-1953	59	1	ا	ا	INTJ
iajs-1953	60	1	مجلة	مجلة	PROPN
iajs-1953	60	2	إبن	إبن	VERB
iajs-1953	60	3	الهيثم	الهيثم	ADJ
iajs-1953	60	4	للعلوم	للعلوم	NOUN
iajs-1953	60	5	الصرفة	الصرفة	NOUN
iajs-1953	61	1	و	و	PRON
iajs-1953	61	2	التطبيقية	التطبيقية	ADJ
iajs-1953	61	3	ibn	ibn	PROPN
iajs-1953	61	4	al	al	PROPN
iajs-1953	61	5	-	-	PUNCT
iajs-1953	61	6	haitham	haitham	PROPN
iajs-1953	61	7	jour	jour	X
iajs-1953	61	8	.	.	PROPN
iajs-1953	61	9	for	for	ADP
iajs-1953	61	10	pure	pure	ADJ
iajs-1953	61	11	&	&	CCONJ
iajs-1953	61	12	appl	appl	PROPN
iajs-1953	61	13	.	.	PUNCT
iajs-1953	62	1	sci	sci	PROPN
iajs-1953	62	2	.	.	PUNCT
iajs-1953	62	3	vol	vol	NOUN
iajs-1953	62	4	.	.	PROPN
iajs-1953	63	1	31	31	NUM
iajs-1953	63	2	(	(	PUNCT
iajs-1953	63	3	2	2	NUM
iajs-1953	63	4	)	)	PUNCT
iajs-1953	63	5	2018	2018	NUM
iajs-1953	63	6	}	}	PUNCT
iajs-1953	63	7	)	)	PUNCT
iajs-1953	63	8	}	}	PUNCT
iajs-1953	63	9	3,1	3,1	NUM
iajs-1953	63	10	{	{	PUNCT
iajs-1953	63	11	,	,	PUNCT
iajs-1953	63	12	(	(	PUNCT
iajs-1953	63	13	}	}	PUNCT
iajs-1953	63	14	)	)	PUNCT
iajs-1953	63	15	,	,	PUNCT
iajs-1953	63	16	{	{	PUNCT
iajs-1953	63	17	,	,	PUNCT
iajs-1953	63	18	{	{	PUNCT
iajs-1953	63	19	(	(	PUNCT
iajs-1953	63	20	21	21	NUM
iajs-1953	63	21	pup	pup	NOUN
iajs-1953	63	22	.	.	PUNCT
iajs-1953	64	1	the	the	DET
iajs-1953	64	2	soft	soft	ADJ
iajs-1953	64	3	sets	set	NOUN
iajs-1953	64	4	in	in	ADP
iajs-1953	64	5	)	)	PUNCT
iajs-1953	64	6	}	}	PUNCT
iajs-1953	64	7	,	,	PUNCT
iajs-1953	64	8	(	(	PUNCT
iajs-1953	64	9	)	)	PUNCT
iajs-1953	64	10	,	,	PUNCT
iajs-1953	64	11	,	,	PUNCT
iajs-1953	64	12	(	(	PUNCT
iajs-1953	64	13	,	,	PUNCT
iajs-1953	64	14	~	~	PROPN
iajs-1953	64	15	,	,	PUNCT
iajs-1953	64	16	~	~	PUNCT
iajs-1953	64	17	{	{	PUNCT
iajs-1953	64	18	21	21	NUM
iajs-1953	64	19	phphu	phphu	NOUN
iajs-1953	64	20	φ	φ	NOUN
iajs-1953	64	21	are	be	AUX
iajs-1953	64	22	soft	soft	ADJ
iajs-1953	64	23	21	21	NUM
iajs-1953	64	24	~~	~~	NUM
iajs-1953	64	25	ττ	ττ	NOUN
iajs-1953	64	26	-open	-open	PROPN
iajs-1953	64	27	sets	set	NOUN
iajs-1953	64	28	in	in	ADP
iajs-1953	64	29	u	u	NOUN
iajs-1953	64	30	~	~	PUNCT
iajs-1953	64	31	.	.	PUNCT
iajs-1953	65	1	thus	thus	ADV
iajs-1953	65	2	)	)	PUNCT
iajs-1953	65	3	,	,	PUNCT
iajs-1953	65	4	~,~	~,~	NUM
iajs-1953	65	5	,	,	PUNCT
iajs-1953	65	6	(	(	PUNCT
iajs-1953	65	7	21	21	NUM
iajs-1953	65	8	pu	pu	PROPN
iajs-1953	65	9	ττ	ττ	PROPN
iajs-1953	65	10	is	be	AUX
iajs-1953	65	11	a	a	DET
iajs-1953	65	12	soft	soft	ADJ
iajs-1953	65	13	bitopological	bitopological	ADJ
iajs-1953	65	14	space	space	NOUN
iajs-1953	65	15	and	and	CCONJ
iajs-1953	65	16	}	}	PUNCT
iajs-1953	65	17	)	)	PUNCT
iajs-1953	65	18	}	}	PUNCT
iajs-1953	65	19	1	1	X
iajs-1953	65	20	{	{	PUNCT
iajs-1953	65	21	,	,	PUNCT
iajs-1953	65	22	(	(	PUNCT
iajs-1953	65	23	}	}	PUNCT
iajs-1953	65	24	)	)	PUNCT
iajs-1953	65	25	,	,	PUNCT
iajs-1953	65	26	{	{	PUNCT
iajs-1953	65	27	,	,	PUNCT
iajs-1953	65	28	{	{	PUNCT
iajs-1953	65	29	(	(	PUNCT
iajs-1953	65	30	)	)	PUNCT
iajs-1953	65	31	,	,	PUNCT
iajs-1953	65	32	(	(	PUNCT
iajs-1953	65	33	21	21	NUM
iajs-1953	65	34	pupph	pupph	NOUN
iajs-1953	65	35			PROPN
iajs-1953	65	36	is	be	AUX
iajs-1953	65	37	a	a	DET
iajs-1953	65	38	soft	soft	ADJ
iajs-1953	65	39	(	(	PUNCT
iajs-1953	65	40	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	65	41	-	-	PUNCT
iajs-1953	65	42	open	open	ADJ
iajs-1953	65	43	set	set	NOUN
iajs-1953	65	44	in	in	ADP
iajs-1953	65	45	u	u	NOUN
iajs-1953	65	46	~	~	PUNCT
iajs-1953	65	47	,	,	PUNCT
iajs-1953	65	48	but	but	CCONJ
iajs-1953	65	49	is	be	AUX
iajs-1953	65	50	not	not	PART
iajs-1953	65	51	soft	soft	ADJ
iajs-1953	65	52	21	21	NUM
iajs-1953	65	53	~~	~~	NUM
iajs-1953	65	54	ττ	ττ	PART
iajs-1953	65	55	-open	-open	PROPN
iajs-1953	65	56	.	.	PUNCT
iajs-1953	66	1	definition	definition	NOUN
iajs-1953	66	2	(	(	PUNCT
iajs-1953	66	3	1.17	1.17	NUM
iajs-1953	66	4	)	)	PUNCT
iajs-1953	67	1	[	[	X
iajs-1953	67	2	4	4	NUM
iajs-1953	67	3	]	]	PUNCT
iajs-1953	67	4	:	:	PUNCT
iajs-1953	67	5	let	let	VERB
iajs-1953	67	6	)	)	PUNCT
iajs-1953	67	7	,	,	PUNCT
iajs-1953	67	8	~,~	~,~	NUM
iajs-1953	67	9	,	,	PUNCT
iajs-1953	67	10	(	(	PUNCT
iajs-1953	67	11	21	21	NUM
iajs-1953	67	12	pu	pu	PROPN
iajs-1953	67	13	ττ	ττ	PROPN
iajs-1953	67	14	be	be	AUX
iajs-1953	67	15	a	a	DET
iajs-1953	67	16	soft	soft	ADJ
iajs-1953	67	17	bitopological	bitopological	ADJ
iajs-1953	67	18	space	space	NOUN
iajs-1953	67	19	and	and	CCONJ
iajs-1953	67	20	uph	uph	PROPN
iajs-1953	67	21	~~	~~	NUM
iajs-1953	67	22	)	)	PUNCT
iajs-1953	67	23	,	,	PUNCT
iajs-1953	67	24	(	(	PUNCT
iajs-1953	67	25			PROPN
iajs-1953	67	26	.	.	PUNCT
iajs-1953	68	1	then	then	ADV
iajs-1953	68	2	:	:	PUNCT
iajs-1953	68	3	(	(	PUNCT
iajs-1953	68	4	i	i	NOUN
iajs-1953	68	5	)	)	PUNCT
iajs-1953	68	6	the	the	DET
iajs-1953	68	7	soft	soft	ADJ
iajs-1953	68	8	(	(	PUNCT
iajs-1953	68	9	1,2)*-omega	1,2)*-omega	NUM
iajs-1953	68	10	closure	closure	NOUN
iajs-1953	68	11	(	(	PUNCT
iajs-1953	68	12	briefly	briefly	ADV
iajs-1953	68	13	soft	soft	ADJ
iajs-1953	68	14	(	(	PUNCT
iajs-1953	68	15	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	68	16	-	-	NOUN
iajs-1953	68	17	closure	closure	NOUN
iajs-1953	68	18	)	)	PUNCT
iajs-1953	68	19	of	of	ADP
iajs-1953	68	20	)	)	PUNCT
iajs-1953	68	21	,	,	PUNCT
iajs-1953	68	22	(	(	PUNCT
iajs-1953	68	23	ph	ph	PROPN
iajs-1953	68	24	,	,	PUNCT
iajs-1953	68	25	denoted	denote	VERB
iajs-1953	68	26	by	by	ADP
iajs-1953	68	27	(	(	PUNCT
iajs-1953	68	28	1,2	1,2	NUM
iajs-1953	68	29	)	)	PUNCT
iajs-1953	68	30	*	*	PUNCT
iajs-1953	68	31	)	)	PUNCT
iajs-1953	68	32	,	,	PUNCT
iajs-1953	68	33	(	(	PUNCT
iajs-1953	68	34	phclω	phclω	PROPN
iajs-1953	68	35	is	be	AUX
iajs-1953	68	36	the	the	DET
iajs-1953	68	37	intersection	intersection	NOUN
iajs-1953	68	38	of	of	ADP
iajs-1953	68	39	all	all	DET
iajs-1953	68	40	soft	soft	ADJ
iajs-1953	68	41	(	(	PUNCT
iajs-1953	68	42	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	68	43	-	-	PUNCT
iajs-1953	68	44	closed	close	VERB
iajs-1953	68	45	sets	set	NOUN
iajs-1953	68	46	inu	inu	NOUN
iajs-1953	68	47	~	~	PUNCT
iajs-1953	68	48	which	which	PRON
iajs-1953	68	49	contains	contain	VERB
iajs-1953	68	50	)	)	PUNCT
iajs-1953	68	51	,	,	PUNCT
iajs-1953	68	52	(	(	PUNCT
iajs-1953	68	53	ph	ph	X
iajs-1953	68	54	.	.	PUNCT
iajs-1953	68	55	(	(	PUNCT
iajs-1953	68	56	ii	ii	NOUN
iajs-1953	68	57	)	)	PUNCT
iajs-1953	68	58	the	the	DET
iajs-1953	68	59	soft	soft	ADJ
iajs-1953	68	60	(	(	PUNCT
iajs-1953	68	61	1,2)*-omega	1,2)*-omega	NUM
iajs-1953	68	62	interior	interior	NOUN
iajs-1953	68	63	(	(	PUNCT
iajs-1953	68	64	briefly	briefly	ADV
iajs-1953	68	65	soft	soft	ADJ
iajs-1953	68	66	(	(	PUNCT
iajs-1953	68	67	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	68	68	-	-	NOUN
iajs-1953	68	69	interior	interior	NOUN
iajs-1953	68	70	)	)	PUNCT
iajs-1953	68	71	of	of	ADP
iajs-1953	68	72	)	)	PUNCT
iajs-1953	68	73	,	,	PUNCT
iajs-1953	68	74	(	(	PUNCT
iajs-1953	68	75	ph	ph	PROPN
iajs-1953	68	76	,	,	PUNCT
iajs-1953	68	77	denoted	denote	VERB
iajs-1953	68	78	by	by	ADP
iajs-1953	68	79	(	(	PUNCT
iajs-1953	68	80	1,2	1,2	NUM
iajs-1953	68	81	)	)	PUNCT
iajs-1953	68	82	*	*	PUNCT
iajs-1953	68	83	)	)	PUNCT
iajs-1953	68	84	,	,	PUNCT
iajs-1953	68	85	int	int	NOUN
iajs-1953	68	86	(	(	PUNCT
iajs-1953	68	87	phω	phω	VERB
iajs-1953	68	88	is	be	AUX
iajs-1953	68	89	the	the	DET
iajs-1953	68	90	union	union	NOUN
iajs-1953	68	91	of	of	ADP
iajs-1953	68	92	all	all	DET
iajs-1953	68	93	soft	soft	ADJ
iajs-1953	68	94	(	(	PUNCT
iajs-1953	68	95	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	68	96	-	-	PUNCT
iajs-1953	68	97	open	open	ADJ
iajs-1953	68	98	sets	set	NOUN
iajs-1953	68	99	inu	inu	NOUN
iajs-1953	68	100	~	~	PUNCT
iajs-1953	68	101	which	which	PRON
iajs-1953	68	102	are	be	AUX
iajs-1953	68	103	contained	contain	VERB
iajs-1953	68	104	in	in	ADP
iajs-1953	68	105	)	)	PUNCT
iajs-1953	68	106	,	,	PUNCT
iajs-1953	68	107	(	(	PUNCT
iajs-1953	69	1	ph	ph	X
iajs-1953	69	2	.	.	PUNCT
iajs-1953	69	3	theorem	theorem	PROPN
iajs-1953	69	4	(	(	PUNCT
iajs-1953	69	5	1.18	1.18	NUM
iajs-1953	69	6	)	)	PUNCT
iajs-1953	70	1	[	[	X
iajs-1953	70	2	4	4	NUM
iajs-1953	70	3	]	]	PUNCT
iajs-1953	70	4	:	:	PUNCT
iajs-1953	70	5	if	if	SCONJ
iajs-1953	70	6	)	)	PUNCT
iajs-1953	70	7	,	,	PUNCT
iajs-1953	70	8	~,~	~,~	NUM
iajs-1953	70	9	,	,	PUNCT
iajs-1953	70	10	(	(	PUNCT
iajs-1953	70	11	21	21	NUM
iajs-1953	70	12	pu	pu	PROPN
iajs-1953	70	13	ττ	ττ	PROPN
iajs-1953	70	14	is	be	AUX
iajs-1953	70	15	a	a	DET
iajs-1953	70	16	soft	soft	ADJ
iajs-1953	70	17	bitopological	bitopological	ADJ
iajs-1953	70	18	space	space	NOUN
iajs-1953	70	19	,	,	PUNCT
iajs-1953	70	20	and	and	CCONJ
iajs-1953	70	21	upkph	upkph	NOUN
iajs-1953	70	22	~~	~~	NOUN
iajs-1953	70	23	)	)	PUNCT
iajs-1953	70	24	,	,	PUNCT
iajs-1953	70	25	(	(	PUNCT
iajs-1953	70	26	)	)	PUNCT
iajs-1953	70	27	,	,	PUNCT
iajs-1953	70	28	,	,	PUNCT
iajs-1953	70	29	(	(	PUNCT
iajs-1953	70	30			PROPN
iajs-1953	70	31	.	.	PUNCT
iajs-1953	71	1	then	then	ADV
iajs-1953	71	2	:	:	PUNCT
iajs-1953	71	3	(	(	PUNCT
iajs-1953	71	4	i	i	NOUN
iajs-1953	71	5	)	)	PUNCT
iajs-1953	71	6	)	)	PUNCT
iajs-1953	71	7	,	,	PUNCT
iajs-1953	71	8	(	(	PUNCT
iajs-1953	71	9	ph	ph	ADJ
iajs-1953	71	10	~	~	NOUN
iajs-1953	71	11	(	(	PUNCT
iajs-1953	71	12	1,2	1,2	NUM
iajs-1953	71	13	)	)	PUNCT
iajs-1953	71	14	*	*	PUNCT
iajs-1953	71	15	)	)	PUNCT
iajs-1953	71	16	,	,	PUNCT
iajs-1953	71	17	(	(	PUNCT
iajs-1953	71	18	phclω	phclω	PROPN
iajs-1953	71	19	~	~	VERB
iajs-1953	71	20	)	)	PUNCT
iajs-1953	71	21	,	,	PUNCT
iajs-1953	71	22	(	(	PUNCT
iajs-1953	71	23	~~	~~	NUM
iajs-1953	71	24	21	21	NUM
iajs-1953	71	25	phclττ	phclττ	NOUN
iajs-1953	71	26	.	.	PUNCT
iajs-1953	72	1	(	(	PUNCT
iajs-1953	72	2	ii	ii	NOUN
iajs-1953	72	3	)	)	PUNCT
iajs-1953	72	4	(	(	PUNCT
iajs-1953	72	5	1,2	1,2	NUM
iajs-1953	72	6	)	)	PUNCT
iajs-1953	72	7	*	*	PUNCT
iajs-1953	72	8	)	)	PUNCT
iajs-1953	72	9	,	,	PUNCT
iajs-1953	72	10	(	(	PUNCT
iajs-1953	72	11	phclω	phclω	PROPN
iajs-1953	72	12	is	be	AUX
iajs-1953	72	13	soft	soft	ADJ
iajs-1953	72	14	(	(	PUNCT
iajs-1953	72	15	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	72	16	-	-	PUNCT
iajs-1953	72	17	closed	closed	ADJ
iajs-1953	72	18	set	set	NOUN
iajs-1953	72	19	in	in	ADP
iajs-1953	72	20	u	u	NOUN
iajs-1953	72	21	~	~	PUNCT
iajs-1953	72	22	.	.	PUNCT
iajs-1953	73	1	(	(	PUNCT
iajs-1953	73	2	iii	iii	NOUN
iajs-1953	73	3	)	)	PUNCT
iajs-1953	73	4	)	)	PUNCT
iajs-1953	73	5	,	,	PUNCT
iajs-1953	73	6	(	(	PUNCT
iajs-1953	73	7	ph	ph	PROPN
iajs-1953	73	8	is	be	AUX
iajs-1953	73	9	soft	soft	ADJ
iajs-1953	73	10	(	(	PUNCT
iajs-1953	73	11	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	73	12	-	-	PUNCT
iajs-1953	73	13	closed	closed	ADJ
iajs-1953	73	14	iff	iff	PROPN
iajs-1953	73	15	(	(	PUNCT
iajs-1953	73	16	1,2	1,2	NUM
iajs-1953	73	17	)	)	PUNCT
iajs-1953	73	18	*	*	PUNCT
iajs-1953	73	19	)	)	PUNCT
iajs-1953	73	20	,	,	PUNCT
iajs-1953	73	21	(	(	PUNCT
iajs-1953	73	22	phclω	phclω	NOUN
iajs-1953	73	23			NUM
iajs-1953	73	24	)	)	PUNCT
iajs-1953	73	25	,	,	PUNCT
iajs-1953	73	26	(	(	PUNCT
iajs-1953	73	27	ph	ph	NOUN
iajs-1953	73	28	.	.	PUNCT
iajs-1953	74	1	(	(	PUNCT
iajs-1953	74	2	iv	iv	X
iajs-1953	74	3	)	)	PUNCT
iajs-1953	74	4	if	if	SCONJ
iajs-1953	74	5	)	)	PUNCT
iajs-1953	74	6	,	,	PUNCT
iajs-1953	74	7	(	(	PUNCT
iajs-1953	74	8	~	~	NOUN
iajs-1953	74	9	)	)	PUNCT
iajs-1953	74	10	,	,	PUNCT
iajs-1953	74	11	(	(	PUNCT
iajs-1953	74	12	pkph	pkph	NOUN
iajs-1953	74	13			PROPN
iajs-1953	74	14	,	,	PUNCT
iajs-1953	74	15	then	then	ADV
iajs-1953	74	16	(	(	PUNCT
iajs-1953	74	17	1,2	1,2	NUM
iajs-1953	74	18	)	)	PUNCT
iajs-1953	74	19	*	*	PUNCT
iajs-1953	74	20	)	)	PUNCT
iajs-1953	74	21	,	,	PUNCT
iajs-1953	74	22	(	(	PUNCT
iajs-1953	74	23	phclω	phclω	PROPN
iajs-1953	74	24	~	~	VERB
iajs-1953	74	25	(	(	PUNCT
iajs-1953	74	26	1,2	1,2	NUM
iajs-1953	74	27	)	)	PUNCT
iajs-1953	74	28	*	*	PUNCT
iajs-1953	74	29	)	)	PUNCT
iajs-1953	74	30	,	,	PUNCT
iajs-1953	74	31	(	(	PUNCT
iajs-1953	74	32	pkclω	pkclω	NOUN
iajs-1953	74	33	.	.	PUNCT
iajs-1953	75	1	definitions	definition	NOUN
iajs-1953	75	2	(	(	PUNCT
iajs-1953	75	3	1.19	1.19	NUM
iajs-1953	75	4	)	)	PUNCT
iajs-1953	76	1	[	[	X
iajs-1953	76	2	4	4	NUM
iajs-1953	76	3	]	]	X
iajs-1953	76	4	:	:	PUNCT
iajs-1953	76	5	a	a	DET
iajs-1953	76	6	soft	soft	ADJ
iajs-1953	76	7	subset	subset	NOUN
iajs-1953	76	8	)	)	PUNCT
iajs-1953	76	9	,	,	PUNCT
iajs-1953	76	10	(	(	PUNCT
iajs-1953	76	11	ph	ph	NOUN
iajs-1953	76	12	of	of	ADP
iajs-1953	76	13	a	a	DET
iajs-1953	76	14	soft	soft	ADJ
iajs-1953	76	15	bitopological	bitopological	ADJ
iajs-1953	76	16	space	space	NOUN
iajs-1953	76	17	)	)	PUNCT
iajs-1953	76	18	,	,	PUNCT
iajs-1953	76	19	~,~	~,~	NUM
iajs-1953	76	20	,	,	PUNCT
iajs-1953	76	21	(	(	PUNCT
iajs-1953	76	22	21	21	NUM
iajs-1953	76	23	pu	pu	PROPN
iajs-1953	76	24	ττ	ττ	PROPN
iajs-1953	76	25	is	be	AUX
iajs-1953	76	26	called	call	VERB
iajs-1953	76	27	:	:	PUNCT
iajs-1953	76	28	(	(	PUNCT
iajs-1953	76	29	i	i	NOUN
iajs-1953	76	30	)	)	PUNCT
iajs-1953	76	31	soft	soft	ADJ
iajs-1953	76	32	(	(	PUNCT
iajs-1953	76	33	1,2)*-α	1,2)*-α	NUM
iajs-1953	76	34	-	-	PUNCT
iajs-1953	76	35	ω	ω	NOUN
iajs-1953	76	36	-	-	NOUN
iajs-1953	76	37	open	open	ADJ
iajs-1953	76	38	if	if	SCONJ
iajs-1953	76	39	~	~	NOUN
iajs-1953	76	40	)	)	PUNCT
iajs-1953	76	41	,	,	PUNCT
iajs-1953	76	42	(	(	PUNCT
iajs-1953	76	43	ph	ph	X
iajs-1953	76	44	(	(	PUNCT
iajs-1953	76	45	1,2)*(~~int	1,2)*(~~int	NUM
iajs-1953	76	46	(	(	PUNCT
iajs-1953	76	47	21	21	NUM
iajs-1953	76	48	clττω	clττω	NOUN
iajs-1953	76	49	(	(	PUNCT
iajs-1953	76	50	1,2)*))),int	1,2)*))),int	NUM
iajs-1953	76	51	(	(	PUNCT
iajs-1953	76	52	phω	phω	VERB
iajs-1953	76	53	.	.	PUNCT
iajs-1953	77	1	(	(	PUNCT
iajs-1953	77	2	ii	ii	NOUN
iajs-1953	77	3	)	)	PUNCT
iajs-1953	77	4	soft	soft	ADJ
iajs-1953	77	5	(	(	PUNCT
iajs-1953	77	6	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	77	7	-	-	PUNCT
iajs-1953	77	8	ω	ω	NOUN
iajs-1953	77	9	-	-	NOUN
iajs-1953	77	10	open	open	ADJ
iajs-1953	77	11	if	if	SCONJ
iajs-1953	77	12	~	~	NOUN
iajs-1953	77	13	)	)	PUNCT
iajs-1953	77	14	,	,	PUNCT
iajs-1953	77	15	(	(	PUNCT
iajs-1953	77	16	ph	ph	X
iajs-1953	77	17	(	(	PUNCT
iajs-1953	77	18	1,2)*)),(~~int	1,2)*)),(~~int	NOUN
iajs-1953	77	19	(	(	PUNCT
iajs-1953	77	20	21	21	NUM
iajs-1953	77	21	phclττω	phclττω	NOUN
iajs-1953	77	22	.	.	PUNCT
iajs-1953	78	1	(	(	PUNCT
iajs-1953	78	2	iii	iii	NOUN
iajs-1953	78	3	)	)	PUNCT
iajs-1953	78	4	soft	soft	ADJ
iajs-1953	78	5	(	(	PUNCT
iajs-1953	78	6	1,2)*-b	1,2)*-b	NUM
iajs-1953	78	7	-	-	PUNCT
iajs-1953	78	8	ω	ω	NOUN
iajs-1953	78	9	-	-	NOUN
iajs-1953	78	10	open	open	ADJ
iajs-1953	78	11	if	if	SCONJ
iajs-1953	78	12	~	~	NOUN
iajs-1953	78	13	)	)	PUNCT
iajs-1953	78	14	,	,	PUNCT
iajs-1953	78	15	(	(	PUNCT
iajs-1953	78	16	ph	ph	X
iajs-1953	78	17	(	(	PUNCT
iajs-1953	78	18	1,2)*)),(~~int	1,2)*)),(~~int	NOUN
iajs-1953	78	19	(	(	PUNCT
iajs-1953	78	20	21	21	NUM
iajs-1953	78	21	phclττω	phclττω	NOUN
iajs-1953	78	22			NOUN
iajs-1953	78	23	~	~	PUNCT
iajs-1953	78	24	(	(	PUNCT
iajs-1953	78	25	~~	~~	NUM
iajs-1953	78	26	21	21	NUM
iajs-1953	78	27	clττ	clττ	NOUN
iajs-1953	78	28	(	(	PUNCT
iajs-1953	78	29	1,2)*)),int	1,2)*)),int	PROPN
iajs-1953	78	30	(	(	PUNCT
iajs-1953	78	31	phω	phω	VERB
iajs-1953	78	32	.	.	PUNCT
iajs-1953	79	1	(	(	PUNCT
iajs-1953	79	2	iv	iv	X
iajs-1953	79	3	)	)	PUNCT
iajs-1953	79	4	soft	soft	ADJ
iajs-1953	79	5	(	(	PUNCT
iajs-1953	79	6	1,2)*-β	1,2)*-β	NUM
iajs-1953	79	7	-	-	PUNCT
iajs-1953	79	8	ω	ω	NOUN
iajs-1953	79	9	-	-	NOUN
iajs-1953	79	10	open	open	ADJ
iajs-1953	79	11	if	if	SCONJ
iajs-1953	79	12	~	~	NOUN
iajs-1953	79	13	)	)	PUNCT
iajs-1953	80	1	,	,	PUNCT
iajs-1953	80	2	(	(	PUNCT
iajs-1953	80	3	ph	ph	X
iajs-1953	80	4	(	(	PUNCT
iajs-1953	80	5	~~	~~	NUM
iajs-1953	80	6	21	21	NUM
iajs-1953	80	7	clττ	clττ	NOUN
iajs-1953	80	8	(	(	PUNCT
iajs-1953	80	9	1,2)*))),(~~int	1,2)*))),(~~int	NUM
iajs-1953	80	10	(	(	PUNCT
iajs-1953	80	11	21	21	NUM
iajs-1953	80	12	phclττω	phclττω	NOUN
iajs-1953	80	13	.	.	PUNCT
iajs-1953	81	1	proposition	proposition	NOUN
iajs-1953	81	2	(	(	PUNCT
iajs-1953	81	3	1.20	1.20	NUM
iajs-1953	81	4	)	)	PUNCT
iajs-1953	82	1	[	[	X
iajs-1953	82	2	4	4	NUM
iajs-1953	82	3	]	]	PUNCT
iajs-1953	82	4	:	:	PUNCT
iajs-1953	82	5	if	if	SCONJ
iajs-1953	82	6	)	)	PUNCT
iajs-1953	82	7	,	,	PUNCT
iajs-1953	82	8	~,~	~,~	NUM
iajs-1953	82	9	,	,	PUNCT
iajs-1953	82	10	(	(	PUNCT
iajs-1953	82	11	21	21	NUM
iajs-1953	82	12	pu	pu	PROPN
iajs-1953	82	13	ττ	ττ	PROPN
iajs-1953	82	14	is	be	AUX
iajs-1953	82	15	a	a	DET
iajs-1953	82	16	soft	soft	ADJ
iajs-1953	82	17	bitopological	bitopological	ADJ
iajs-1953	82	18	space	space	NOUN
iajs-1953	82	19	,	,	PUNCT
iajs-1953	82	20	then	then	ADV
iajs-1953	82	21	the	the	DET
iajs-1953	82	22	following	follow	VERB
iajs-1953	82	23	hold	hold	NOUN
iajs-1953	82	24	:	:	PUNCT
iajs-1953	82	25	(	(	PUNCT
iajs-1953	82	26	i	i	NOUN
iajs-1953	82	27	)	)	PUNCT
iajs-1953	82	28	every	every	DET
iajs-1953	82	29	soft	soft	ADJ
iajs-1953	82	30	21	21	NUM
iajs-1953	82	31	~~	~~	NUM
iajs-1953	82	32	ττ	ττ	PART
iajs-1953	82	33	-open	-open	PROPN
iajs-1953	82	34	set	set	NOUN
iajs-1953	82	35	is	be	AUX
iajs-1953	82	36	soft	soft	ADJ
iajs-1953	82	37	(	(	PUNCT
iajs-1953	82	38	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	82	39	-	-	NOUN
iajs-1953	82	40	open	open	ADJ
iajs-1953	82	41	.	.	PUNCT
iajs-1953	83	1	(	(	PUNCT
iajs-1953	83	2	ii	ii	NOUN
iajs-1953	83	3	)	)	PUNCT
iajs-1953	83	4	every	every	PRON
iajs-1953	83	5	soft	soft	ADJ
iajs-1953	83	6	(	(	PUNCT
iajs-1953	83	7	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	83	8	-	-	PUNCT
iajs-1953	83	9	open	open	ADJ
iajs-1953	83	10	set	set	NOUN
iajs-1953	83	11	is	be	AUX
iajs-1953	83	12	soft	soft	ADJ
iajs-1953	83	13	(	(	PUNCT
iajs-1953	83	14	1,2)*-α	1,2)*-α	NUM
iajs-1953	83	15	-	-	PUNCT
iajs-1953	83	16	ω	ω	NOUN
iajs-1953	83	17	-	-	NOUN
iajs-1953	83	18	open	open	ADJ
iajs-1953	83	19	.	.	PUNCT
iajs-1953	84	1	(	(	PUNCT
iajs-1953	84	2	iii	iii	X
iajs-1953	84	3	)	)	PUNCT
iajs-1953	84	4	every	every	DET
iajs-1953	84	5	soft	soft	ADJ
iajs-1953	84	6	(	(	PUNCT
iajs-1953	84	7	1,2)*-α	1,2)*-α	NUM
iajs-1953	84	8	-	-	PUNCT
iajs-1953	84	9	ω	ω	VERB
iajs-1953	84	10	-	-	ADJ
iajs-1953	84	11	open	open	ADJ
iajs-1953	84	12	set	set	NOUN
iajs-1953	84	13	is	be	AUX
iajs-1953	84	14	soft	soft	ADJ
iajs-1953	84	15	(	(	PUNCT
iajs-1953	84	16	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	84	17	-	-	PUNCT
iajs-1953	84	18	ω	ω	NOUN
iajs-1953	84	19	-	-	NOUN
iajs-1953	84	20	open	open	ADJ
iajs-1953	84	21	.	.	PUNCT
iajs-1953	85	1	(	(	PUNCT
iajs-1953	85	2	iv	iv	X
iajs-1953	85	3	)	)	PUNCT
iajs-1953	85	4	every	every	DET
iajs-1953	85	5	soft	soft	ADJ
iajs-1953	85	6	(	(	PUNCT
iajs-1953	85	7	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	85	8	-	-	PUNCT
iajs-1953	85	9	ω	ω	VERB
iajs-1953	85	10	-	-	PUNCT
iajs-1953	85	11	open	open	ADJ
iajs-1953	85	12	set	set	NOUN
iajs-1953	85	13	is	be	AUX
iajs-1953	85	14	soft	soft	ADJ
iajs-1953	85	15	(	(	PUNCT
iajs-1953	85	16	1,2)*-b	1,2)*-b	NUM
iajs-1953	85	17	-	-	PUNCT
iajs-1953	85	18	ω	ω	NOUN
iajs-1953	85	19	-	-	NOUN
iajs-1953	85	20	open	open	ADJ
iajs-1953	85	21	.	.	PUNCT
iajs-1953	86	1	(	(	PUNCT
iajs-1953	86	2	v	v	NOUN
iajs-1953	86	3	)	)	PUNCT
iajs-1953	86	4	every	every	DET
iajs-1953	86	5	soft	soft	ADJ
iajs-1953	86	6	(	(	PUNCT
iajs-1953	86	7	1,2)*-b	1,2)*-b	NUM
iajs-1953	86	8	-	-	PUNCT
iajs-1953	86	9	ω	ω	NOUN
iajs-1953	86	10	-	-	PUNCT
iajs-1953	86	11	open	open	ADJ
iajs-1953	86	12	set	set	NOUN
iajs-1953	86	13	is	be	AUX
iajs-1953	86	14	soft	soft	ADJ
iajs-1953	86	15	(	(	PUNCT
iajs-1953	86	16	1,2)*-β	1,2)*-β	NUM
iajs-1953	86	17	-	-	PUNCT
iajs-1953	86	18	ω	ω	NOUN
iajs-1953	86	19	-	-	NOUN
iajs-1953	86	20	open	open	ADJ
iajs-1953	86	21	.	.	PUNCT
iajs-1953	87	1	definition	definition	NOUN
iajs-1953	87	2	(	(	PUNCT
iajs-1953	87	3	1.21	1.21	NUM
iajs-1953	87	4	)	)	PUNCT
iajs-1953	88	1	[	[	X
iajs-1953	88	2	4	4	NUM
iajs-1953	88	3	]	]	PUNCT
iajs-1953	88	4	:	:	PUNCT
iajs-1953	88	5	let	let	VERB
iajs-1953	88	6	)	)	PUNCT
iajs-1953	88	7	,	,	PUNCT
iajs-1953	88	8	~,~	~,~	NUM
iajs-1953	88	9	,	,	PUNCT
iajs-1953	88	10	(	(	PUNCT
iajs-1953	88	11	21	21	NUM
iajs-1953	88	12	pu	pu	PROPN
iajs-1953	88	13	ττ	ττ	PROPN
iajs-1953	88	14	be	be	AUX
iajs-1953	88	15	a	a	DET
iajs-1953	88	16	soft	soft	ADJ
iajs-1953	88	17	bitopological	bitopological	ADJ
iajs-1953	88	18	space	space	NOUN
iajs-1953	88	19	and	and	CCONJ
iajs-1953	88	20	uph	uph	PROPN
iajs-1953	88	21	~~	~~	NUM
iajs-1953	88	22	)	)	PUNCT
iajs-1953	88	23	,	,	PUNCT
iajs-1953	88	24	(	(	PUNCT
iajs-1953	88	25			PROPN
iajs-1953	88	26	.	.	PUNCT
iajs-1953	89	1	then	then	ADV
iajs-1953	89	2	the	the	DET
iajs-1953	89	3	soft	soft	ADJ
iajs-1953	89	4	(	(	PUNCT
iajs-1953	89	5	1,2)*-α	1,2)*-α	NUM
iajs-1953	89	6	-	-	PUNCT
iajs-1953	89	7	ω	ω	NOUN
iajs-1953	89	8	-	-	NOUN
iajs-1953	89	9	closure	closure	NOUN
iajs-1953	89	10	(	(	PUNCT
iajs-1953	89	11	resp	resp	NOUN
iajs-1953	89	12	.	.	PUNCT
iajs-1953	90	1	soft	soft	ADJ
iajs-1953	90	2	(	(	PUNCT
iajs-1953	90	3	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	90	4	-	-	PUNCT
iajs-1953	90	5	ω	ω	NOUN
iajs-1953	90	6	-	-	PUNCT
iajs-1953	90	7	closure	closure	NOUN
iajs-1953	90	8	,	,	PUNCT
iajs-1953	90	9	soft	soft	ADJ
iajs-1953	90	10	(	(	PUNCT
iajs-1953	90	11	1,2)*-b	1,2)*-b	NUM
iajs-1953	90	12	-	-	PUNCT
iajs-1953	90	13	ω	ω	NOUN
iajs-1953	90	14	-	-	PUNCT
iajs-1953	90	15	closure	closure	NOUN
iajs-1953	90	16	,	,	PUNCT
iajs-1953	90	17	soft	soft	ADJ
iajs-1953	90	18	(	(	PUNCT
iajs-1953	90	19	1,2)*-β	1,2)*-β	NUM
iajs-1953	90	20	-	-	PUNCT
iajs-1953	90	21	ω	ω	NOUN
iajs-1953	90	22	-	-	NOUN
iajs-1953	90	23	closure	closure	NOUN
iajs-1953	90	24	)	)	PUNCT
iajs-1953	90	25	of	of	ADP
iajs-1953	90	26	)	)	PUNCT
iajs-1953	90	27	,	,	PUNCT
iajs-1953	90	28	(	(	PUNCT
iajs-1953	90	29	ph	ph	PROPN
iajs-1953	90	30	,	,	PUNCT
iajs-1953	90	31	denoted	denote	VERB
iajs-1953	90	32	by	by	ADP
iajs-1953	90	33	(	(	PUNCT
iajs-1953	90	34	1,2)*-α	1,2)*-α	NUM
iajs-1953	90	35	)	)	PUNCT
iajs-1953	90	36	,	,	PUNCT
iajs-1953	90	37	(	(	PUNCT
iajs-1953	90	38	phclω	phclω	NOUN
iajs-1953	90	39	(	(	PUNCT
iajs-1953	90	40	resp	resp	NOUN
iajs-1953	90	41	.	.	PUNCT
iajs-1953	91	1	(	(	PUNCT
iajs-1953	91	2	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	91	3	)	)	PUNCT
iajs-1953	91	4	,	,	PUNCT
iajs-1953	91	5	(	(	PUNCT
iajs-1953	91	6	phclω	phclω	NOUN
iajs-1953	91	7	,	,	PUNCT
iajs-1953	91	8	(	(	PUNCT
iajs-1953	91	9	1,2)*-b	1,2)*-b	NUM
iajs-1953	91	10	)	)	PUNCT
iajs-1953	91	11	,	,	PUNCT
iajs-1953	91	12	(	(	PUNCT
iajs-1953	91	13	phclω	phclω	NOUN
iajs-1953	91	14	,	,	PUNCT
iajs-1953	91	15	(	(	PUNCT
iajs-1953	91	16	1,2)*-β	1,2)*-β	NOUN
iajs-1953	91	17	)	)	PUNCT
iajs-1953	91	18	,	,	PUNCT
iajs-1953	91	19	(	(	PUNCT
iajs-1953	91	20	phclω	phclω	PROPN
iajs-1953	91	21	)	)	PUNCT
iajs-1953	91	22	is	be	AUX
iajs-1953	91	23	the	the	DET
iajs-1953	91	24	intersection	intersection	NOUN
iajs-1953	91	25	of	of	ADP
iajs-1953	91	26	all	all	DET
iajs-1953	91	27	soft	soft	ADJ
iajs-1953	91	28	(	(	PUNCT
iajs-1953	91	29	1,2)*-α	1,2)*-α	NUM
iajs-1953	91	30	-	-	PUNCT
iajs-1953	91	31	ω	ω	NOUN
iajs-1953	91	32	-	-	PUNCT
iajs-1953	91	33	closed	closed	ADJ
iajs-1953	91	34	(	(	PUNCT
iajs-1953	91	35	resp	resp	NOUN
iajs-1953	91	36	.	.	PUNCT
iajs-1953	92	1	soft	soft	ADJ
iajs-1953	92	2	(	(	PUNCT
iajs-1953	92	3	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	92	4	-	-	PUNCT
iajs-1953	92	5	ω	ω	NOUN
iajs-1953	92	6	-	-	PUNCT
iajs-1953	92	7	closed	closed	ADJ
iajs-1953	92	8	,	,	PUNCT
iajs-1953	92	9	soft	soft	ADJ
iajs-1953	92	10	(	(	PUNCT
iajs-1953	92	11	1,2)*-b	1,2)*-b	NUM
iajs-1953	92	12	-	-	PUNCT
iajs-1953	92	13	ω	ω	NOUN
iajs-1953	92	14	-	-	PUNCT
iajs-1953	92	15	closed	closed	ADJ
iajs-1953	92	16	,	,	PUNCT
iajs-1953	92	17	soft	soft	ADJ
iajs-1953	92	18	(	(	PUNCT
iajs-1953	92	19	1,2)*-β	1,2)*-β	NUM
iajs-1953	92	20	-	-	PUNCT
iajs-1953	92	21	ω	ω	NOUN
iajs-1953	92	22	-	-	PUNCT
iajs-1953	92	23	closed	closed	ADJ
iajs-1953	92	24	)	)	PUNCT
iajs-1953	92	25	sets	set	VERB
iajs-1953	92	26	inu	inu	NOUN
iajs-1953	92	27	~	~	PUNCT
iajs-1953	92	28	which	which	PRON
iajs-1953	92	29	contains	contain	VERB
iajs-1953	92	30	)	)	PUNCT
iajs-1953	92	31	,	,	PUNCT
iajs-1953	92	32	(	(	PUNCT
iajs-1953	92	33	ph	ph	X
iajs-1953	92	34	.	.	PUNCT
iajs-1953	93	1	definition	definition	NOUN
iajs-1953	93	2	(	(	PUNCT
iajs-1953	93	3	1.22	1.22	NUM
iajs-1953	93	4	)	)	PUNCT
iajs-1953	94	1	[	[	X
iajs-1953	94	2	4	4	NUM
iajs-1953	94	3	]	]	X
iajs-1953	94	4	:	:	PUNCT
iajs-1953	94	5	a	a	DET
iajs-1953	94	6	soft	soft	ADJ
iajs-1953	94	7	subset	subset	NOUN
iajs-1953	94	8	)	)	PUNCT
iajs-1953	94	9	,	,	PUNCT
iajs-1953	94	10	(	(	PUNCT
iajs-1953	94	11	pn	pn	X
iajs-1953	94	12	of	of	ADP
iajs-1953	94	13	a	a	DET
iajs-1953	94	14	soft	soft	ADJ
iajs-1953	94	15	bitopological	bitopological	ADJ
iajs-1953	94	16	space	space	NOUN
iajs-1953	94	17	)	)	PUNCT
iajs-1953	94	18	,	,	PUNCT
iajs-1953	94	19	~,~	~,~	NUM
iajs-1953	94	20	,	,	PUNCT
iajs-1953	94	21	(	(	PUNCT
iajs-1953	94	22	21	21	NUM
iajs-1953	94	23	pu	pu	PROPN
iajs-1953	94	24	ττ	ττ	PROPN
iajs-1953	94	25	is	be	AUX
iajs-1953	94	26	called	call	VERB
iajs-1953	94	27	a	a	DET
iajs-1953	94	28	soft	soft	ADJ
iajs-1953	94	29	(	(	PUNCT
iajs-1953	94	30	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	94	31	-	-	PUNCT
iajs-1953	94	32	neighborhood	neighborhood	NOUN
iajs-1953	94	33	(	(	PUNCT
iajs-1953	94	34	resp	resp	NOUN
iajs-1953	94	35	.	.	PUNCT
iajs-1953	95	1	soft	soft	ADJ
iajs-1953	95	2	(	(	PUNCT
iajs-1953	95	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	95	4	-	-	PUNCT
iajs-1953	95	5	ω	ω	NOUN
iajs-1953	95	6	-	-	PUNCT
iajs-1953	95	7	neighborhood	neighborhood	NOUN
iajs-1953	95	8	,	,	PUNCT
iajs-1953	95	9	soft	soft	ADJ
iajs-1953	95	10	(	(	PUNCT
iajs-1953	95	11	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	95	12	-	-	PUNCT
iajs-1953	95	13	ωneighborhood	ωneighborhood	ADJ
iajs-1953	95	14	,	,	PUNCT
iajs-1953	95	15	soft	soft	ADJ
iajs-1953	95	16	(	(	PUNCT
iajs-1953	95	17	1,2)*-b	1,2)*-b	NUM
iajs-1953	95	18	-	-	PUNCT
iajs-1953	95	19	ω	ω	NOUN
iajs-1953	95	20	-	-	PUNCT
iajs-1953	95	21	neighborhood	neighborhood	NOUN
iajs-1953	95	22	,	,	PUNCT
iajs-1953	95	23	soft	soft	ADJ
iajs-1953	95	24	(	(	PUNCT
iajs-1953	95	25	1,2)*-β	1,2)*-β	NUM
iajs-1953	95	26	-	-	PUNCT
iajs-1953	95	27	ω	ω	NOUN
iajs-1953	95	28	-	-	PUNCT
iajs-1953	95	29	neighborhood	neighborhood	NOUN
iajs-1953	95	30	)	)	PUNCT
iajs-1953	95	31	of	of	ADP
iajs-1953	95	32	a	a	DET
iajs-1953	95	33	soft	soft	ADJ
iajs-1953	95	34	point	point	NOUN
iajs-1953	95	35	x~	x~	NUM
iajs-1953	96	1	in	in	ADP
iajs-1953	96	2	u	u	NOUN
iajs-1953	96	3	~	~	PUNCT
iajs-1953	96	4	if	if	SCONJ
iajs-1953	96	5	there	there	PRON
iajs-1953	96	6	exists	exist	VERB
iajs-1953	96	7	a	a	DET
iajs-1953	96	8	soft	soft	ADJ
iajs-1953	96	9	(	(	PUNCT
iajs-1953	96	10	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	96	11	-	-	ADJ
iajs-1953	96	12	open	open	ADJ
iajs-1953	96	13	(	(	PUNCT
iajs-1953	96	14	resp	resp	NOUN
iajs-1953	96	15	.	.	PUNCT
iajs-1953	96	16	soft	soft	ADJ
iajs-1953	96	17	(	(	PUNCT
iajs-1953	96	18	1,2)*-α	1,2)*-α	NUM
iajs-1953	96	19	-	-	PUNCT
iajs-1953	96	20	ω	ω	NOUN
iajs-1953	96	21	-	-	ADJ
iajs-1953	96	22	open	open	ADJ
iajs-1953	96	23	,	,	PUNCT
iajs-1953	96	24	soft	soft	ADJ
iajs-1953	96	25	(	(	PUNCT
iajs-1953	96	26	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	96	27	-	-	PUNCT
iajs-1953	96	28	ω	ω	VERB
iajs-1953	96	29	-	-	ADJ
iajs-1953	96	30	open	open	ADJ
iajs-1953	96	31	,	,	PUNCT
iajs-1953	96	32	soft	soft	ADJ
iajs-1953	96	33	(	(	PUNCT
iajs-1953	96	34	1,2)*-b	1,2)*-b	NUM
iajs-1953	96	35	-	-	PUNCT
iajs-1953	96	36	ω	ω	NOUN
iajs-1953	96	37	-	-	ADJ
iajs-1953	96	38	open	open	ADJ
iajs-1953	96	39	,	,	PUNCT
iajs-1953	96	40	soft	soft	ADJ
iajs-1953	96	41	(	(	PUNCT
iajs-1953	96	42	1,2)*-β	1,2)*-β	NUM
iajs-1953	96	43	-	-	PUNCT
iajs-1953	96	44	ω	ω	NOUN
iajs-1953	96	45	-	-	ADJ
iajs-1953	96	46	open	open	ADJ
iajs-1953	96	47	)	)	PUNCT
iajs-1953	96	48	set	set	NOUN
iajs-1953	96	49	)	)	PUNCT
iajs-1953	96	50	,	,	PUNCT
iajs-1953	96	51	(	(	PUNCT
iajs-1953	96	52	ph	ph	VERB
iajs-1953	96	53	in	in	ADP
iajs-1953	96	54	u	u	NOUN
iajs-1953	96	55	~	~	PUNCT
iajs-1953	96	56	such	such	ADJ
iajs-1953	96	57	that	that	PRON
iajs-1953	96	58	)	)	PUNCT
iajs-1953	96	59	,	,	PUNCT
iajs-1953	96	60	(	(	PUNCT
iajs-1953	96	61	~),(~~	~),(~~	NUM
iajs-1953	96	62	pnphx	pnphx	NOUN
iajs-1953	96	63			PROPN
iajs-1953	96	64	.	.	PUNCT
iajs-1953	97	1	definition	definition	NOUN
iajs-1953	97	2	(	(	PUNCT
iajs-1953	97	3	1.23)[8	1.23)[8	PROPN
iajs-1953	97	4	]	]	PUNCT
iajs-1953	97	5	:	:	PUNCT
iajs-1953	97	6	let	let	VERB
iajs-1953	97	7	)	)	PUNCT
iajs-1953	97	8	,	,	PUNCT
iajs-1953	97	9	~,~	~,~	NUM
iajs-1953	97	10	,	,	PUNCT
iajs-1953	97	11	(	(	PUNCT
iajs-1953	97	12	21	21	NUM
iajs-1953	97	13	pu	pu	PROPN
iajs-1953	97	14	ττ	ττ	PROPN
iajs-1953	97	15	be	be	AUX
iajs-1953	97	16	a	a	DET
iajs-1953	97	17	soft	soft	ADJ
iajs-1953	97	18	bitopological	bitopological	ADJ
iajs-1953	97	19	space	space	NOUN
iajs-1953	97	20	over	over	ADP
iajs-1953	97	21	u	u	PROPN
iajs-1953	97	22	and	and	CCONJ
iajs-1953	97	23	uyφ	uyφ	PROPN
iajs-1953	97	24	.	.	PUNCT
iajs-1953	98	1	then	then	ADV
iajs-1953	98	2	}	}	PUNCT
iajs-1953	98	3	~~	~~	NUM
iajs-1953	98	4	)	)	PUNCT
iajs-1953	98	5	,	,	PUNCT
iajs-1953	98	6	(:	(:	VERB
iajs-1953	98	7	~~	~~	NUM
iajs-1953	98	8	)	)	PUNCT
iajs-1953	98	9	,	,	PUNCT
iajs-1953	98	10	{	{	PUNCT
iajs-1953	98	11	(	(	PUNCT
iajs-1953	98	12	~	~	SYM
iajs-1953	98	13	1	1	NUM
iajs-1953	98	14	~	~	SYM
iajs-1953	98	15	1	1	NUM
iajs-1953	98	16	ττ	ττ	CCONJ
iajs-1953	98	17			PROPN
iajs-1953	98	18	pmypm	pmypm	PROPN
iajs-1953	98	19	y	y	PROPN
iajs-1953	98	20			PROPN
iajs-1953	98	21	and	and	CCONJ
iajs-1953	98	22	)	)	PUNCT
iajs-1953	98	23	,	,	PUNCT
iajs-1953	98	24	(:	(:	VERB
iajs-1953	98	25	~~	~~	NUM
iajs-1953	98	26	)	)	PUNCT
iajs-1953	98	27	,	,	PUNCT
iajs-1953	98	28	{	{	PUNCT
iajs-1953	98	29	(	(	PUNCT
iajs-1953	98	30	~	~	PUNCT
iajs-1953	98	31	~	~	SYM
iajs-1953	98	32	2	2	NUM
iajs-1953	98	33	pnypn	pnypn	PROPN
iajs-1953	98	34	y	y	PROPN
iajs-1953	98	35	τ	τ	PROPN
iajs-1953	98	36	}	}	PUNCT
iajs-1953	98	37	~~	~~	NUM
iajs-1953	98	38	2τ	2τ	NUM
iajs-1953	98	39	are	be	AUX
iajs-1953	98	40	called	call	VERB
iajs-1953	98	41	the	the	DET
iajs-1953	98	42	relative	relative	ADJ
iajs-1953	98	43	soft	soft	ADJ
iajs-1953	98	44	topologies	topology	NOUN
iajs-1953	98	45	on	on	ADP
iajs-1953	98	46	y	y	PROPN
iajs-1953	98	47	~	~	PUNCT
iajs-1953	98	48	and	and	CCONJ
iajs-1953	98	49	)	)	PUNCT
iajs-1953	98	50	,	,	PUNCT
iajs-1953	98	51	~,~	~,~	NUM
iajs-1953	98	52	,	,	PUNCT
iajs-1953	98	53	(	(	PUNCT
iajs-1953	98	54	~	~	PUNCT
iajs-1953	98	55	2	2	X
iajs-1953	98	56	~	~	SYM
iajs-1953	98	57	1	1	X
iajs-1953	98	58	py	py	INTJ
iajs-1953	98	59	yy	yy	INTJ
iajs-1953	98	60	ττ	ττ	PROPN
iajs-1953	98	61	is	be	AUX
iajs-1953	98	62	called	call	VERB
iajs-1953	98	63	the	the	DET
iajs-1953	98	64	relative	relative	ADJ
iajs-1953	98	65	soft	soft	ADJ
iajs-1953	98	66	bitopological	bitopological	ADJ
iajs-1953	98	67	space	space	NOUN
iajs-1953	98	68	of	of	ADP
iajs-1953	98	69	)	)	PUNCT
iajs-1953	98	70	,	,	PUNCT
iajs-1953	98	71	~,~	~,~	NUM
iajs-1953	98	72	,	,	PUNCT
iajs-1953	98	73	(	(	PUNCT
iajs-1953	98	74	21	21	NUM
iajs-1953	98	75	pu	pu	PROPN
iajs-1953	98	76	ττ	ττ	PROPN
iajs-1953	98	77	.	.	PUNCT
iajs-1953	99	1	2	2	X
iajs-1953	99	2	.	.	X
iajs-1953	99	3	soft	soft	ADJ
iajs-1953	99	4	(	(	PUNCT
iajs-1953	99	5	1,2)*-omega	1,2)*-omega	NUM
iajs-1953	99	6	separation	separation	NOUN
iajs-1953	99	7	axioms	axiom	NOUN
iajs-1953	99	8	and	and	CCONJ
iajs-1953	99	9	weak	weak	ADJ
iajs-1953	99	10	soft	soft	ADJ
iajs-1953	99	11	(	(	PUNCT
iajs-1953	99	12	1,2)*-omega	1,2)*-omega	NUM
iajs-1953	99	13	separation	separation	NOUN
iajs-1953	99	14	axioms	axiom	VERB
iajs-1953	99	15	now	now	ADV
iajs-1953	99	16	,	,	PUNCT
iajs-1953	99	17	we	we	PRON
iajs-1953	99	18	introduce	introduce	VERB
iajs-1953	99	19	and	and	CCONJ
iajs-1953	99	20	study	study	VERB
iajs-1953	99	21	new	new	ADJ
iajs-1953	99	22	types	type	NOUN
iajs-1953	99	23	of	of	ADP
iajs-1953	99	24	soft	soft	ADJ
iajs-1953	99	25	separation	separation	NOUN
iajs-1953	99	26	axioms	axiom	NOUN
iajs-1953	99	27	in	in	ADP
iajs-1953	99	28	soft	soft	ADJ
iajs-1953	99	29	bitopological	bitopological	ADJ
iajs-1953	99	30	spaces	space	NOUN
iajs-1953	99	31	called	call	VERB
iajs-1953	99	32	soft	soft	ADJ
iajs-1953	99	33	(	(	PUNCT
iajs-1953	99	34	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	99	35	-	-	PUNCT
iajs-1953	99	36	separation	separation	NOUN
iajs-1953	99	37	axioms	axiom	NOUN
iajs-1953	99	38	and	and	CCONJ
iajs-1953	99	39	weak	weak	ADJ
iajs-1953	99	40	soft	soft	ADJ
iajs-1953	99	41	(	(	PUNCT
iajs-1953	99	42	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	99	43	-	-	PUNCT
iajs-1953	99	44	separation	separation	NOUN
iajs-1953	99	45	axioms	axiom	NOUN
iajs-1953	99	46	such	such	ADJ
iajs-1953	99	47	as	as	ADP
iajs-1953	99	48	soft	soft	ADJ
iajs-1953	99	49	(	(	PUNCT
iajs-1953	99	50	1,2)*-ωit	1,2)*-ωit	NUM
iajs-1953	99	51	~	~	SYM
iajs-1953	99	52	-spaces	-space	NOUN
iajs-1953	99	53	,	,	PUNCT
iajs-1953	99	54	soft	soft	ADJ
iajs-1953	99	55	(	(	PUNCT
iajs-1953	99	56	1,2)*-α	1,2)*-α	NUM
iajs-1953	99	57	-	-	PUNCT
iajs-1953	99	58	ωit	ωit	NOUN
iajs-1953	99	59	~	~	SYM
iajs-1953	99	60	-spaces	-space	NOUN
iajs-1953	99	61	,	,	PUNCT
iajs-1953	99	62	soft	soft	ADJ
iajs-1953	99	63	(	(	PUNCT
iajs-1953	99	64	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	99	65	-	-	PUNCT
iajs-1953	99	66	ωit	ωit	NOUN
iajs-1953	99	67	~	~	SYM
iajs-1953	99	68	-spaces	-space	NOUN
iajs-1953	99	69	,	,	PUNCT
iajs-1953	99	70	soft	soft	ADJ
iajs-1953	99	71	https://doi.org/10.30526/31.2.19523	https://doi.org/10.30526/31.2.19523	NOUN
iajs-1953	100	1	https://doi.org/10.30526/31.2.1953	https://doi.org/10.30526/31.2.1953	NOUN
iajs-1953	100	2	mathmatics	mathmatics	NOUN
iajs-1953	100	3	|	|	ADV
iajs-1953	100	4	141	141	NUM
iajs-1953	100	5	8201	8201	NUM
iajs-1953	100	6	(	(	PUNCT
iajs-1953	100	7	عام	عام	ADP
iajs-1953	100	8	2العدد	2العدد	NUM
iajs-1953	100	9	)	)	PUNCT
iajs-1953	100	10	13لمجلد	13لمجلد	NUM
iajs-1953	101	1	ا	ا	INTJ
iajs-1953	102	1	مجلة	مجلة	PROPN
iajs-1953	102	2	إبن	إبن	VERB
iajs-1953	102	3	الهيثم	الهيثم	ADJ
iajs-1953	102	4	للعلوم	للعلوم	NOUN
iajs-1953	102	5	الصرفة	الصرفة	NOUN
iajs-1953	103	1	و	و	PRON
iajs-1953	103	2	التطبيقية	التطبيقية	ADJ
iajs-1953	103	3	ibn	ibn	PROPN
iajs-1953	103	4	al	al	PROPN
iajs-1953	103	5	-	-	PUNCT
iajs-1953	103	6	haitham	haitham	PROPN
iajs-1953	103	7	jour	jour	X
iajs-1953	103	8	.	.	PROPN
iajs-1953	103	9	for	for	ADP
iajs-1953	103	10	pure	pure	ADJ
iajs-1953	103	11	&	&	CCONJ
iajs-1953	103	12	appl	appl	PROPN
iajs-1953	103	13	.	.	PUNCT
iajs-1953	104	1	sci	sci	PROPN
iajs-1953	104	2	.	.	PUNCT
iajs-1953	104	3	vol	vol	NOUN
iajs-1953	104	4	.	.	PROPN
iajs-1953	105	1	31	31	NUM
iajs-1953	105	2	(	(	PUNCT
iajs-1953	105	3	2	2	NUM
iajs-1953	105	4	)	)	PUNCT
iajs-1953	105	5	2018	2018	NUM
iajs-1953	105	6	(	(	PUNCT
iajs-1953	105	7	1,2)*-b	1,2)*-b	NUM
iajs-1953	105	8	-	-	PUNCT
iajs-1953	105	9	ωit	ωit	NOUN
iajs-1953	105	10	~	~	SYM
iajs-1953	105	11	-spaces	-space	NOUN
iajs-1953	105	12	,	,	PUNCT
iajs-1953	105	13	and	and	CCONJ
iajs-1953	105	14	soft	soft	ADJ
iajs-1953	105	15	(	(	PUNCT
iajs-1953	105	16	1,2)*-β	1,2)*-β	NUM
iajs-1953	105	17	-	-	PUNCT
iajs-1953	105	18	ωit	ωit	NOUN
iajs-1953	105	19	~	~	SYM
iajs-1953	105	20	-spaces	-space	NOUN
iajs-1953	105	21	,	,	PUNCT
iajs-1953	105	22	for	for	ADP
iajs-1953	105	23	2,1,,0	2,1,,0	NUM
iajs-1953	105	24	2	2	NUM
iajs-1953	105	25	1i	1i	NUM
iajs-1953	105	26	.	.	PUNCT
iajs-1953	106	1	the	the	DET
iajs-1953	106	2	fundamental	fundamental	ADJ
iajs-1953	106	3	properties	property	NOUN
iajs-1953	106	4	and	and	CCONJ
iajs-1953	106	5	equivalent	equivalent	ADJ
iajs-1953	106	6	definitions	definition	NOUN
iajs-1953	106	7	of	of	ADP
iajs-1953	106	8	these	these	DET
iajs-1953	106	9	types	type	NOUN
iajs-1953	106	10	of	of	ADP
iajs-1953	106	11	soft	soft	ADJ
iajs-1953	106	12	separation	separation	NOUN
iajs-1953	106	13	axioms	axiom	NOUN
iajs-1953	106	14	also	also	ADV
iajs-1953	106	15	,	,	PUNCT
iajs-1953	106	16	have	have	AUX
iajs-1953	106	17	been	be	AUX
iajs-1953	106	18	studied	study	VERB
iajs-1953	106	19	.	.	PUNCT
iajs-1953	107	1	definitions	definition	NOUN
iajs-1953	107	2	(	(	PUNCT
iajs-1953	107	3	2.1	2.1	NUM
iajs-1953	107	4	):	):	PUNCT
iajs-1953	107	5	a	a	DET
iajs-1953	107	6	soft	soft	ADJ
iajs-1953	107	7	bitopological	bitopological	ADJ
iajs-1953	107	8	space	space	NOUN
iajs-1953	107	9	)	)	PUNCT
iajs-1953	107	10	,	,	PUNCT
iajs-1953	107	11	~,~	~,~	NUM
iajs-1953	107	12	,	,	PUNCT
iajs-1953	107	13	(	(	PUNCT
iajs-1953	107	14	21	21	NUM
iajs-1953	107	15	pu	pu	PROPN
iajs-1953	107	16	ττ	ττ	PROPN
iajs-1953	107	17	is	be	AUX
iajs-1953	107	18	called	call	VERB
iajs-1953	107	19	a	a	DET
iajs-1953	107	20	soft	soft	ADJ
iajs-1953	107	21	(	(	PUNCT
iajs-1953	107	22	1,2)*-ω0	1,2)*-ω0	NUM
iajs-1953	107	23	~	~	PUNCT
iajs-1953	107	24	t	t	NOUN
iajs-1953	107	25	-space	-space	NOUN
iajs-1953	107	26	(	(	PUNCT
iajs-1953	107	27	resp	resp	NOUN
iajs-1953	107	28	.	.	PUNCT
iajs-1953	108	1	soft	soft	ADJ
iajs-1953	108	2	(	(	PUNCT
iajs-1953	108	3	1,2)*-α	1,2)*-α	NOUN
iajs-1953	108	4	-	-	PUNCT
iajs-1953	108	5	ω0	ω0	NOUN
iajs-1953	108	6	~	~	PUNCT
iajs-1953	108	7	t	t	NOUN
iajs-1953	108	8	-space	-space	NOUN
iajs-1953	108	9	,	,	PUNCT
iajs-1953	108	10	soft	soft	ADJ
iajs-1953	108	11	(	(	PUNCT
iajs-1953	108	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	108	13	-	-	PUNCT
iajs-1953	108	14	ω0	ω0	NOUN
iajs-1953	108	15	~	~	PUNCT
iajs-1953	108	16	t	t	NOUN
iajs-1953	108	17	-space	-space	NOUN
iajs-1953	108	18	,	,	PUNCT
iajs-1953	108	19	soft	soft	ADJ
iajs-1953	108	20	(	(	PUNCT
iajs-1953	108	21	1,2)*-b	1,2)*-b	NUM
iajs-1953	108	22	-	-	PUNCT
iajs-1953	108	23	ω0	ω0	NOUN
iajs-1953	108	24	~	~	PUNCT
iajs-1953	108	25	t	t	NOUN
iajs-1953	108	26	-space	-space	NOUN
iajs-1953	108	27	,	,	PUNCT
iajs-1953	108	28	soft	soft	ADJ
iajs-1953	108	29	(	(	PUNCT
iajs-1953	108	30	1,2)*-β	1,2)*-β	NOUN
iajs-1953	108	31	-	-	PUNCT
iajs-1953	108	32	ω0	ω0	NOUN
iajs-1953	108	33	~	~	PUNCT
iajs-1953	108	34	t	t	NOUN
iajs-1953	108	35	-space	-space	NOUN
iajs-1953	108	36	)	)	PUNCT
iajs-1953	108	37	if	if	SCONJ
iajs-1953	108	38	for	for	ADP
iajs-1953	108	39	any	any	DET
iajs-1953	108	40	two	two	NUM
iajs-1953	108	41	distinct	distinct	ADJ
iajs-1953	108	42	soft	soft	ADJ
iajs-1953	108	43	points	point	NOUN
iajs-1953	108	44	x~	x~	PRON
iajs-1953	108	45	and	and	CCONJ
iajs-1953	108	46	y~	y~	PROPN
iajs-1953	108	47	of	of	ADP
iajs-1953	108	48	u	u	PROPN
iajs-1953	108	49	~	~	PUNCT
iajs-1953	108	50	,	,	PUNCT
iajs-1953	108	51	there	there	PRON
iajs-1953	108	52	exists	exist	VERB
iajs-1953	108	53	a	a	DET
iajs-1953	108	54	soft	soft	ADJ
iajs-1953	108	55	(	(	PUNCT
iajs-1953	108	56	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	108	57	-	-	ADJ
iajs-1953	108	58	open	open	ADJ
iajs-1953	108	59	(	(	PUNCT
iajs-1953	108	60	resp	resp	NOUN
iajs-1953	108	61	.	.	PUNCT
iajs-1953	109	1	soft	soft	ADJ
iajs-1953	109	2	(	(	PUNCT
iajs-1953	109	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	109	4	-	-	PUNCT
iajs-1953	109	5	ω	ω	NOUN
iajs-1953	109	6	-	-	ADJ
iajs-1953	109	7	open	open	ADJ
iajs-1953	109	8	,	,	PUNCT
iajs-1953	109	9	soft	soft	ADJ
iajs-1953	109	10	(	(	PUNCT
iajs-1953	109	11	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	109	12	-	-	PUNCT
iajs-1953	109	13	ω	ω	VERB
iajs-1953	109	14	-	-	ADJ
iajs-1953	109	15	open	open	ADJ
iajs-1953	109	16	,	,	PUNCT
iajs-1953	109	17	soft	soft	ADJ
iajs-1953	109	18	(	(	PUNCT
iajs-1953	109	19	1,2)*-b	1,2)*-b	NUM
iajs-1953	109	20	-	-	PUNCT
iajs-1953	109	21	ω	ω	NOUN
iajs-1953	109	22	-	-	ADJ
iajs-1953	109	23	open	open	ADJ
iajs-1953	109	24	,	,	PUNCT
iajs-1953	109	25	soft	soft	ADJ
iajs-1953	109	26	(	(	PUNCT
iajs-1953	109	27	1,2)*-β	1,2)*-β	NUM
iajs-1953	109	28	-	-	PUNCT
iajs-1953	109	29	ω	ω	NOUN
iajs-1953	109	30	-	-	ADJ
iajs-1953	109	31	open	open	ADJ
iajs-1953	109	32	)	)	PUNCT
iajs-1953	109	33	set	set	VERB
iajs-1953	109	34	in	in	ADP
iajs-1953	109	35	u	u	NOUN
iajs-1953	109	36	~	~	PUNCT
iajs-1953	109	37	containing	contain	VERB
iajs-1953	109	38	one	one	NUM
iajs-1953	109	39	of	of	ADP
iajs-1953	109	40	the	the	DET
iajs-1953	109	41	soft	soft	ADJ
iajs-1953	109	42	points	point	NOUN
iajs-1953	109	43	but	but	CCONJ
iajs-1953	109	44	not	not	PART
iajs-1953	109	45	the	the	DET
iajs-1953	109	46	other	other	ADJ
iajs-1953	109	47	.	.	PUNCT
iajs-1953	110	1	proposition	proposition	NOUN
iajs-1953	110	2	(	(	PUNCT
iajs-1953	110	3	2.2	2.2	NUM
iajs-1953	110	4	):	):	PUNCT
iajs-1953	110	5	every	every	DET
iajs-1953	110	6	soft	soft	ADJ
iajs-1953	110	7	(	(	PUNCT
iajs-1953	110	8	1,2)*0	1,2)*0	NUM
iajs-1953	110	9	~	~	PUNCT
iajs-1953	110	10	t	t	NOUN
iajs-1953	110	11	-space	-space	NOUN
iajs-1953	110	12	is	be	AUX
iajs-1953	110	13	a	a	DET
iajs-1953	110	14	soft	soft	ADJ
iajs-1953	110	15	(	(	PUNCT
iajs-1953	110	16	1,2)*-ω0	1,2)*-ω0	NUM
iajs-1953	110	17	~	~	PUNCT
iajs-1953	110	18	t	t	NOUN
iajs-1953	110	19	-space	-space	NOUN
iajs-1953	110	20	(	(	PUNCT
iajs-1953	110	21	resp	resp	NOUN
iajs-1953	110	22	.	.	PUNCT
iajs-1953	111	1	soft	soft	ADJ
iajs-1953	111	2	(	(	PUNCT
iajs-1953	111	3	1,2)*α	1,2)*α	NUM
iajs-1953	111	4	-	-	PUNCT
iajs-1953	111	5	ω0	ω0	NOUN
iajs-1953	111	6	~	~	PUNCT
iajs-1953	111	7	t	t	NOUN
iajs-1953	111	8	-space	-space	NOUN
iajs-1953	111	9	,	,	PUNCT
iajs-1953	111	10	soft	soft	ADJ
iajs-1953	111	11	(	(	PUNCT
iajs-1953	111	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	111	13	-	-	PUNCT
iajs-1953	111	14	ω0	ω0	NOUN
iajs-1953	111	15	~	~	PUNCT
iajs-1953	111	16	t	t	NOUN
iajs-1953	111	17	-space	-space	NOUN
iajs-1953	111	18	,	,	PUNCT
iajs-1953	111	19	soft	soft	ADJ
iajs-1953	111	20	(	(	PUNCT
iajs-1953	111	21	1,2)*-b	1,2)*-b	NUM
iajs-1953	111	22	-	-	PUNCT
iajs-1953	111	23	ω0	ω0	NOUN
iajs-1953	111	24	~	~	PUNCT
iajs-1953	111	25	t	t	NOUN
iajs-1953	111	26	-space	-space	NOUN
iajs-1953	111	27	,	,	PUNCT
iajs-1953	111	28	soft	soft	ADJ
iajs-1953	111	29	(	(	PUNCT
iajs-1953	111	30	1,2)*-β	1,2)*-β	NOUN
iajs-1953	111	31	-	-	PUNCT
iajs-1953	111	32	ω0	ω0	NOUN
iajs-1953	111	33	~	~	PUNCT
iajs-1953	111	34	t	t	NOUN
iajs-1953	111	35	space	space	NOUN
iajs-1953	111	36	)	)	PUNCT
iajs-1953	111	37	.	.	PUNCT
iajs-1953	112	1	proof	proof	NOUN
iajs-1953	112	2	:	:	PUNCT
iajs-1953	112	3	it	it	PRON
iajs-1953	112	4	is	be	AUX
iajs-1953	112	5	obvious	obvious	ADJ
iajs-1953	112	6	.	.	PUNCT
iajs-1953	113	1	remark	remark	NOUN
iajs-1953	113	2	(	(	PUNCT
iajs-1953	113	3	2.3	2.3	NUM
iajs-1953	113	4	):	):	PUNCT
iajs-1953	113	5	the	the	DET
iajs-1953	113	6	converse	converse	NOUN
iajs-1953	113	7	of	of	ADP
iajs-1953	113	8	proposition	proposition	NOUN
iajs-1953	113	9	(	(	PUNCT
iajs-1953	113	10	2.2	2.2	NUM
iajs-1953	113	11	)	)	PUNCT
iajs-1953	113	12	is	be	AUX
iajs-1953	113	13	not	not	PART
iajs-1953	113	14	true	true	ADJ
iajs-1953	113	15	in	in	ADP
iajs-1953	113	16	general	general	ADJ
iajs-1953	113	17	we	we	PRON
iajs-1953	113	18	can	can	AUX
iajs-1953	113	19	see	see	VERB
iajs-1953	113	20	by	by	ADP
iajs-1953	113	21	the	the	DET
iajs-1953	113	22	following	follow	VERB
iajs-1953	113	23	example	example	NOUN
iajs-1953	113	24	:	:	PUNCT
iajs-1953	113	25	example	example	NOUN
iajs-1953	113	26	(	(	PUNCT
iajs-1953	113	27	2.4	2.4	NUM
iajs-1953	113	28	):	):	PUNCT
iajs-1953	113	29	let	let	VERB
iajs-1953	113	30	}	}	PUNCT
iajs-1953	113	31	,	,	PUNCT
iajs-1953	113	32	,	,	PUNCT
iajs-1953	113	33	{	{	PUNCT
iajs-1953	113	34	cbau	cbau	NOUN
iajs-1953	113	35			NOUN
iajs-1953	113	36	and	and	CCONJ
iajs-1953	113	37	}	}	PUNCT
iajs-1953	113	38	,	,	PUNCT
iajs-1953	113	39	{	{	PUNCT
iajs-1953	113	40	21	21	NUM
iajs-1953	113	41	ppp	ppp	NOUN
iajs-1953	113	42			NOUN
iajs-1953	113	43	and	and	CCONJ
iajs-1953	113	44	let	let	VERB
iajs-1953	113	45	)	)	PUNCT
iajs-1953	113	46	}	}	PUNCT
iajs-1953	113	47	,	,	PUNCT
iajs-1953	113	48	(	(	PUNCT
iajs-1953	113	49	,	,	PUNCT
iajs-1953	113	50	~	~	PROPN
iajs-1953	113	51	,	,	PUNCT
iajs-1953	113	52	~	~	PUNCT
iajs-1953	113	53	{	{	PUNCT
iajs-1953	113	54	~	~	PUNCT
iajs-1953	113	55	11	11	NUM
iajs-1953	113	56	phu	phu	NOUN
iajs-1953	113	57	φτ	φτ	NOUN
iajs-1953	113	58			PROPN
iajs-1953	113	59	and	and	CCONJ
iajs-1953	113	60	,	,	PUNCT
iajs-1953	113	61	~	~	PROPN
iajs-1953	113	62	,	,	PUNCT
iajs-1953	113	63	~	~	PUNCT
iajs-1953	113	64	{	{	PUNCT
iajs-1953	113	65	~	~	SYM
iajs-1953	113	66	2	2	NUM
iajs-1953	113	67	φτ	φτ	NOUN
iajs-1953	113	68	u	u	NOUN
iajs-1953	113	69	)	)	PUNCT
iajs-1953	113	70	}	}	PUNCT
iajs-1953	113	71	,	,	PUNCT
iajs-1953	113	72	(	(	PUNCT
iajs-1953	113	73	2	2	NUM
iajs-1953	113	74	ph	ph	NOUN
iajs-1953	113	75	be	be	AUX
iajs-1953	113	76	soft	soft	ADJ
iajs-1953	113	77	topologies	topology	NOUN
iajs-1953	113	78	over	over	ADP
iajs-1953	113	79	u	u	NOUN
iajs-1953	113	80	,	,	PUNCT
iajs-1953	113	81	where	where	SCONJ
iajs-1953	113	82			NOUN
iajs-1953	113	83	)	)	PUNCT
iajs-1953	113	84	,	,	PUNCT
iajs-1953	113	85	(	(	PUNCT
iajs-1953	113	86	1	1	NUM
iajs-1953	113	87	ph	ph	NOUN
iajs-1953	113	88	}	}	PUNCT
iajs-1953	113	89	)	)	PUNCT
iajs-1953	113	90	}	}	PUNCT
iajs-1953	113	91	{	{	PUNCT
iajs-1953	113	92	,	,	PUNCT
iajs-1953	113	93	(	(	PUNCT
iajs-1953	113	94	}	}	PUNCT
iajs-1953	113	95	)	)	PUNCT
iajs-1953	113	96	,	,	PUNCT
iajs-1953	113	97	{	{	PUNCT
iajs-1953	113	98	,	,	PUNCT
iajs-1953	113	99	{	{	PUNCT
iajs-1953	113	100	(	(	PUNCT
iajs-1953	113	101	21	21	NUM
iajs-1953	113	102	apap	apap	NOUN
iajs-1953	113	103	,	,	PUNCT
iajs-1953	113	104			PROPN
iajs-1953	113	105	)	)	PUNCT
iajs-1953	113	106	,	,	PUNCT
iajs-1953	113	107	(	(	PUNCT
iajs-1953	113	108	2	2	NUM
iajs-1953	113	109	ph	ph	NOUN
iajs-1953	113	110	}	}	PUNCT
iajs-1953	113	111	)	)	PUNCT
iajs-1953	113	112	}	}	PUNCT
iajs-1953	113	113	{	{	PUNCT
iajs-1953	113	114	,	,	PUNCT
iajs-1953	113	115	(	(	PUNCT
iajs-1953	113	116	}	}	PUNCT
iajs-1953	113	117	)	)	PUNCT
iajs-1953	113	118	,	,	PUNCT
iajs-1953	113	119	{	{	PUNCT
iajs-1953	113	120	,	,	PUNCT
iajs-1953	113	121	{	{	PUNCT
iajs-1953	113	122	(	(	PUNCT
iajs-1953	113	123	21	21	NUM
iajs-1953	113	124	bpbp	bpbp	NOUN
iajs-1953	113	125	and	and	CCONJ
iajs-1953	113	126			NUM
iajs-1953	113	127	)	)	PUNCT
iajs-1953	113	128	,	,	PUNCT
iajs-1953	113	129	(	(	PUNCT
iajs-1953	113	130	3	3	NUM
iajs-1953	113	131	ph	ph	NOUN
iajs-1953	113	132	}	}	PUNCT
iajs-1953	113	133	)	)	PUNCT
iajs-1953	113	134	}	}	PUNCT
iajs-1953	113	135	,	,	PUNCT
iajs-1953	113	136	{	{	PUNCT
iajs-1953	113	137	,	,	PUNCT
iajs-1953	113	138	(	(	PUNCT
iajs-1953	113	139	}	}	PUNCT
iajs-1953	113	140	)	)	PUNCT
iajs-1953	113	141	,	,	PUNCT
iajs-1953	113	142	,	,	PUNCT
iajs-1953	113	143	{	{	PUNCT
iajs-1953	113	144	,	,	PUNCT
iajs-1953	113	145	{	{	PUNCT
iajs-1953	113	146	(	(	PUNCT
iajs-1953	113	147	21	21	NUM
iajs-1953	113	148	bapbap	bapbap	NOUN
iajs-1953	113	149	.	.	PUNCT
iajs-1953	114	1	the	the	DET
iajs-1953	114	2	soft	soft	ADJ
iajs-1953	114	3	sets	set	NOUN
iajs-1953	114	4	in	in	ADP
iajs-1953	114	5	)	)	PUNCT
iajs-1953	114	6	,	,	PUNCT
iajs-1953	114	7	,	,	PUNCT
iajs-1953	114	8	(	(	PUNCT
iajs-1953	114	9	,	,	PUNCT
iajs-1953	114	10	~	~	PROPN
iajs-1953	114	11	,	,	PUNCT
iajs-1953	114	12	~	~	PUNCT
iajs-1953	114	13	{	{	PUNCT
iajs-1953	114	14	1	1	NUM
iajs-1953	114	15	phu	phu	NOUN
iajs-1953	114	16	φ	φ	PROPN
iajs-1953	114	17	)	)	PUNCT
iajs-1953	114	18	,	,	PUNCT
iajs-1953	114	19	,	,	PUNCT
iajs-1953	114	20	(	(	PUNCT
iajs-1953	114	21	2	2	NUM
iajs-1953	114	22	ph	ph	NOUN
iajs-1953	114	23	)	)	PUNCT
iajs-1953	114	24	}	}	PUNCT
iajs-1953	114	25	,	,	PUNCT
iajs-1953	114	26	(	(	PUNCT
iajs-1953	114	27	3	3	NUM
iajs-1953	114	28	ph	ph	NOUN
iajs-1953	114	29	are	be	AUX
iajs-1953	114	30	soft	soft	ADJ
iajs-1953	114	31	21	21	NUM
iajs-1953	114	32	~~	~~	NUM
iajs-1953	114	33	ττ	ττ	PART
iajs-1953	114	34	-open	-open	PROPN
iajs-1953	114	35	.	.	PUNCT
iajs-1953	115	1	thus	thus	ADV
iajs-1953	115	2	)	)	PUNCT
iajs-1953	115	3	,	,	PUNCT
iajs-1953	115	4	~,~	~,~	NUM
iajs-1953	115	5	,	,	PUNCT
iajs-1953	115	6	(	(	PUNCT
iajs-1953	115	7	21	21	NUM
iajs-1953	115	8	pu	pu	PROPN
iajs-1953	115	9	ττ	ττ	PROPN
iajs-1953	115	10	is	be	AUX
iajs-1953	115	11	a	a	DET
iajs-1953	115	12	soft	soft	ADJ
iajs-1953	115	13	(	(	PUNCT
iajs-1953	115	14	1,2)*-ω0	1,2)*-ω0	NUM
iajs-1953	115	15	~	~	PUNCT
iajs-1953	115	16	t	t	NOUN
iajs-1953	115	17	-space	-space	NOUN
iajs-1953	115	18	(	(	PUNCT
iajs-1953	115	19	resp	resp	NOUN
iajs-1953	115	20	.	.	PUNCT
iajs-1953	116	1	soft	soft	ADJ
iajs-1953	116	2	(	(	PUNCT
iajs-1953	116	3	1,2)*-α	1,2)*-α	NOUN
iajs-1953	116	4	-	-	PUNCT
iajs-1953	116	5	ω0	ω0	NOUN
iajs-1953	116	6	~	~	PUNCT
iajs-1953	116	7	t	t	NOUN
iajs-1953	116	8	-space	-space	NOUN
iajs-1953	116	9	,	,	PUNCT
iajs-1953	116	10	soft	soft	ADJ
iajs-1953	116	11	(	(	PUNCT
iajs-1953	116	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	116	13	-	-	PUNCT
iajs-1953	116	14	ω0	ω0	NOUN
iajs-1953	116	15	~	~	PUNCT
iajs-1953	116	16	t	t	NOUN
iajs-1953	116	17	-space	-space	NOUN
iajs-1953	116	18	,	,	PUNCT
iajs-1953	116	19	soft	soft	ADJ
iajs-1953	116	20	(	(	PUNCT
iajs-1953	116	21	1,2)*-b	1,2)*-b	NUM
iajs-1953	116	22	-	-	PUNCT
iajs-1953	116	23	ω0	ω0	NOUN
iajs-1953	116	24	~	~	PUNCT
iajs-1953	116	25	t	t	NOUN
iajs-1953	116	26	-space	-space	NOUN
iajs-1953	116	27	,	,	PUNCT
iajs-1953	116	28	soft	soft	ADJ
iajs-1953	116	29	(	(	PUNCT
iajs-1953	116	30	1,2)*β	1,2)*β	NOUN
iajs-1953	116	31	-	-	PUNCT
iajs-1953	116	32	ω0	ω0	NOUN
iajs-1953	116	33	~	~	PUNCT
iajs-1953	116	34	t	t	NOUN
iajs-1953	116	35	-space	-space	NOUN
iajs-1953	116	36	)	)	PUNCT
iajs-1953	116	37	,	,	PUNCT
iajs-1953	116	38	but	but	CCONJ
iajs-1953	116	39	is	be	AUX
iajs-1953	116	40	not	not	PART
iajs-1953	116	41	soft	soft	ADJ
iajs-1953	116	42	(	(	PUNCT
iajs-1953	116	43	1,2)*0	1,2)*0	NUM
iajs-1953	116	44	~	~	PUNCT
iajs-1953	116	45	t	t	NOUN
iajs-1953	116	46	-space	-space	NOUN
iajs-1953	116	47	,	,	PUNCT
iajs-1953	116	48	since	since	SCONJ
iajs-1953	116	49	}	}	PUNCT
iajs-1953	116	50	)	)	PUNCT
iajs-1953	116	51	{	{	PUNCT
iajs-1953	116	52	,	,	PUNCT
iajs-1953	116	53	(	(	PUNCT
iajs-1953	116	54	1	1	NUM
iajs-1953	116	55	ap	ap	NOUN
iajs-1953	116	56	}	}	PUNCT
iajs-1953	116	57	)	)	PUNCT
iajs-1953	116	58	{	{	PUNCT
iajs-1953	116	59	,	,	PUNCT
iajs-1953	116	60	(	(	PUNCT
iajs-1953	116	61	~~	~~	SYM
iajs-1953	116	62	2	2	NUM
iajs-1953	116	63	apyx	apyx	NOUN
iajs-1953	116	64			NUM
iajs-1953	116	65	,	,	PUNCT
iajs-1953	116	66	but	but	CCONJ
iajs-1953	116	67	there	there	PRON
iajs-1953	116	68	exists	exist	VERB
iajs-1953	116	69	no	no	DET
iajs-1953	116	70	soft	soft	ADJ
iajs-1953	116	71	21	21	NUM
iajs-1953	116	72	~~	~~	NUM
iajs-1953	116	73	ττ	ττ	PART
iajs-1953	116	74	-open	-open	PROPN
iajs-1953	116	75	set	set	NOUN
iajs-1953	116	76	containing	contain	VERB
iajs-1953	116	77	one	one	NUM
iajs-1953	116	78	of	of	ADP
iajs-1953	116	79	the	the	DET
iajs-1953	116	80	soft	soft	ADJ
iajs-1953	116	81	points	point	NOUN
iajs-1953	116	82	but	but	CCONJ
iajs-1953	116	83	not	not	PART
iajs-1953	116	84	the	the	DET
iajs-1953	116	85	other	other	ADJ
iajs-1953	116	86	.	.	PUNCT
iajs-1953	117	1	theorem	theorem	NOUN
iajs-1953	117	2	(	(	PUNCT
iajs-1953	117	3	2.5	2.5	NUM
iajs-1953	117	4	):	):	PUNCT
iajs-1953	117	5	a	a	DET
iajs-1953	117	6	soft	soft	ADJ
iajs-1953	117	7	bitopological	bitopological	ADJ
iajs-1953	117	8	space	space	NOUN
iajs-1953	117	9	)	)	PUNCT
iajs-1953	117	10	,	,	PUNCT
iajs-1953	117	11	~,~	~,~	NUM
iajs-1953	117	12	,	,	PUNCT
iajs-1953	117	13	(	(	PUNCT
iajs-1953	117	14	21	21	NUM
iajs-1953	117	15	pu	pu	PROPN
iajs-1953	117	16	ττ	ττ	PROPN
iajs-1953	117	17	is	be	AUX
iajs-1953	117	18	a	a	DET
iajs-1953	117	19	soft	soft	ADJ
iajs-1953	117	20	(	(	PUNCT
iajs-1953	117	21	1,2)*-ω0	1,2)*-ω0	NUM
iajs-1953	117	22	~	~	PUNCT
iajs-1953	117	23	t	t	NOUN
iajs-1953	117	24	-space	-space	NOUN
iajs-1953	117	25	(	(	PUNCT
iajs-1953	117	26	resp	resp	NOUN
iajs-1953	117	27	.	.	PUNCT
iajs-1953	118	1	soft	soft	ADJ
iajs-1953	118	2	(	(	PUNCT
iajs-1953	118	3	1,2)*-α	1,2)*-α	NOUN
iajs-1953	118	4	-	-	PUNCT
iajs-1953	118	5	ω0	ω0	NOUN
iajs-1953	118	6	~	~	PUNCT
iajs-1953	118	7	t	t	NOUN
iajs-1953	118	8	-space	-space	NOUN
iajs-1953	118	9	,	,	PUNCT
iajs-1953	118	10	soft	soft	ADJ
iajs-1953	118	11	(	(	PUNCT
iajs-1953	118	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	118	13	-	-	PUNCT
iajs-1953	118	14	ω0	ω0	NOUN
iajs-1953	118	15	~	~	PUNCT
iajs-1953	118	16	t	t	NOUN
iajs-1953	118	17	-space	-space	NOUN
iajs-1953	118	18	,	,	PUNCT
iajs-1953	118	19	soft	soft	ADJ
iajs-1953	118	20	(	(	PUNCT
iajs-1953	118	21	1,2)*-b	1,2)*-b	NUM
iajs-1953	118	22	-	-	PUNCT
iajs-1953	118	23	ω0	ω0	NOUN
iajs-1953	118	24	~	~	PUNCT
iajs-1953	118	25	t	t	NOUN
iajs-1953	118	26	-space	-space	NOUN
iajs-1953	118	27	,	,	PUNCT
iajs-1953	118	28	soft	soft	ADJ
iajs-1953	118	29	(	(	PUNCT
iajs-1953	118	30	1,2)*β	1,2)*β	NOUN
iajs-1953	118	31	-	-	PUNCT
iajs-1953	118	32	ω0	ω0	NOUN
iajs-1953	118	33	~	~	PUNCT
iajs-1953	118	34	t	t	NOUN
iajs-1953	118	35	-space	-space	NOUN
iajs-1953	118	36	)	)	PUNCT
iajs-1953	119	1	if	if	SCONJ
iajs-1953	119	2	and	and	CCONJ
iajs-1953	119	3	only	only	ADV
iajs-1953	119	4	if	if	SCONJ
iajs-1953	119	5	(	(	PUNCT
iajs-1953	119	6	1,2)*})~({xclω	1,2)*})~({xclω	NUM
iajs-1953	119	7			NOUN
iajs-1953	119	8	(	(	PUNCT
iajs-1953	119	9	1,2)*})~({yclω	1,2)*})~({yclω	NUM
iajs-1953	119	10	(	(	PUNCT
iajs-1953	119	11	resp	resp	NOUN
iajs-1953	119	12	.	.	PUNCT
iajs-1953	120	1	(	(	PUNCT
iajs-1953	120	2	1,2)*-α})~({xclω	1,2)*-α})~({xclω	NUM
iajs-1953	120	3			NOUN
iajs-1953	120	4	(	(	PUNCT
iajs-1953	120	5	1,2)*-α})~({yclω	1,2)*-α})~({yclω	NUM
iajs-1953	120	6	,	,	PUNCT
iajs-1953	120	7	(	(	PUNCT
iajs-1953	120	8	1,2)*-pre})~({xclω	1,2)*-pre})~({xclω	NUM
iajs-1953	120	9			PROPN
iajs-1953	120	10	(	(	PUNCT
iajs-1953	120	11	1,2)*-pre})~({yclω	1,2)*-pre})~({yclω	NUM
iajs-1953	120	12	,	,	PUNCT
iajs-1953	120	13	(	(	PUNCT
iajs-1953	120	14	1,2)*-b})~({xclω	1,2)*-b})~({xclω	NUM
iajs-1953	120	15			NOUN
iajs-1953	120	16	(	(	PUNCT
iajs-1953	120	17	1,2)*b})~({yclω	1,2)*b})~({yclω	NUM
iajs-1953	120	18	,	,	PUNCT
iajs-1953	120	19	(	(	PUNCT
iajs-1953	120	20	1,2)*-β})~({xclω	1,2)*-β})~({xclω	NUM
iajs-1953	120	21			NOUN
iajs-1953	120	22	(	(	PUNCT
iajs-1953	120	23	1,2)*-β})~({yclω	1,2)*-β})~({yclω	NUM
iajs-1953	120	24	)	)	PUNCT
iajs-1953	120	25	for	for	ADP
iajs-1953	120	26	any	any	DET
iajs-1953	120	27	two	two	NUM
iajs-1953	120	28	distinct	distinct	ADJ
iajs-1953	120	29	soft	soft	ADJ
iajs-1953	120	30	points	point	NOUN
iajs-1953	120	31	x~	x~	PRON
iajs-1953	120	32	and	and	CCONJ
iajs-1953	120	33	y~	y~	PROPN
iajs-1953	120	34	of	of	ADP
iajs-1953	120	35	u	u	NOUN
iajs-1953	120	36	~	~	PUNCT
iajs-1953	120	37	.	.	PUNCT
iajs-1953	121	1	proof	proof	NOUN
iajs-1953	121	2	:	:	PUNCT
iajs-1953	121	3	let	let	VERB
iajs-1953	121	4	uyx	uyx	NOUN
iajs-1953	121	5	~~~,~	~~~,~	PUNCT
iajs-1953	121	6			NOUN
iajs-1953	121	7	such	such	ADJ
iajs-1953	121	8	that	that	DET
iajs-1953	121	9	yx	yx	PROPN
iajs-1953	121	10	~~	~~	PROPN
iajs-1953	121	11			PROPN
iajs-1953	121	12	.	.	PUNCT
iajs-1953	122	1	since	since	SCONJ
iajs-1953	122	2	)	)	PUNCT
iajs-1953	122	3	,	,	PUNCT
iajs-1953	122	4	~,~	~,~	NUM
iajs-1953	122	5	,	,	PUNCT
iajs-1953	122	6	(	(	PUNCT
iajs-1953	122	7	21	21	NUM
iajs-1953	122	8	pu	pu	PROPN
iajs-1953	122	9	ττ	ττ	PROPN
iajs-1953	122	10	is	be	AUX
iajs-1953	122	11	a	a	DET
iajs-1953	122	12	soft	soft	ADJ
iajs-1953	122	13	(	(	PUNCT
iajs-1953	122	14	1,2)*-ω0	1,2)*-ω0	NUM
iajs-1953	122	15	~	~	PUNCT
iajs-1953	122	16	t	t	NOUN
iajs-1953	122	17	-space	-space	NOUN
iajs-1953	122	18	,	,	PUNCT
iajs-1953	122	19	then	then	ADV
iajs-1953	122	20	there	there	PRON
iajs-1953	122	21	exists	exist	VERB
iajs-1953	122	22	a	a	DET
iajs-1953	122	23	soft	soft	ADJ
iajs-1953	122	24	(	(	PUNCT
iajs-1953	122	25	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	122	26	-	-	PUNCT
iajs-1953	122	27	open	open	ADJ
iajs-1953	122	28	set	set	NOUN
iajs-1953	122	29	)	)	PUNCT
iajs-1953	122	30	,	,	PUNCT
iajs-1953	122	31	(	(	PUNCT
iajs-1953	122	32	ph	ph	NOUN
iajs-1953	122	33	containing	contain	VERB
iajs-1953	122	34	x~	x~	PROPN
iajs-1953	122	35	,	,	PUNCT
iajs-1953	122	36	but	but	CCONJ
iajs-1953	122	37	not	not	PART
iajs-1953	122	38	y~	y~	PROPN
iajs-1953	122	39	.	.	PUNCT
iajs-1953	123	1	therefore	therefore	ADV
iajs-1953	123	2	)	)	PUNCT
iajs-1953	123	3	,	,	PUNCT
iajs-1953	123	4	(	(	PUNCT
iajs-1953	123	5	~	~	PUNCT
iajs-1953	123	6	phu	phu	NOUN
iajs-1953	123	7			NOUN
iajs-1953	123	8	is	be	AUX
iajs-1953	123	9	a	a	DET
iajs-1953	123	10	soft	soft	ADJ
iajs-1953	123	11	(	(	PUNCT
iajs-1953	123	12	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	123	13	-	-	PUNCT
iajs-1953	123	14	closed	closed	ADJ
iajs-1953	123	15	set	set	NOUN
iajs-1953	123	16	containing	contain	VERB
iajs-1953	123	17	y~	y~	PROPN
iajs-1953	123	18	,	,	PUNCT
iajs-1953	123	19	but	but	CCONJ
iajs-1953	123	20	not	not	PART
iajs-1953	123	21	x~	x~	PROPN
iajs-1953	123	22	.	.	PUNCT
iajs-1953	124	1	hence	hence	ADV
iajs-1953	124	2	(	(	PUNCT
iajs-1953	124	3	1,2	1,2	NUM
iajs-1953	124	4	)	)	PUNCT
iajs-1953	124	5	*	*	PUNCT
iajs-1953	124	6	)	)	PUNCT
iajs-1953	124	7	,	,	PUNCT
iajs-1953	124	8	(	(	PUNCT
iajs-1953	124	9	~~})~	~~})~	X
iajs-1953	124	10	(	(	PUNCT
iajs-1953	124	11	{	{	PUNCT
iajs-1953	124	12	phuycl	phuycl	PROPN
iajs-1953	124	13	ω	ω	ADV
iajs-1953	124	14	.	.	PUNCT
iajs-1953	125	1	since	since	SCONJ
iajs-1953	125	2	)	)	PUNCT
iajs-1953	125	3	,	,	PUNCT
iajs-1953	125	4	(	(	PUNCT
iajs-1953	125	5	~~~	~~~	PUNCT
iajs-1953	125	6	phux	phux	NOUN
iajs-1953	125	7			NOUN
iajs-1953	125	8	,	,	PUNCT
iajs-1953	125	9	this	this	PRON
iajs-1953	125	10	implies	imply	VERB
iajs-1953	125	11	that	that	SCONJ
iajs-1953	125	12			PUNCT
iajs-1953	125	13	~~x	~~x	X
iajs-1953	125	14	(	(	PUNCT
iajs-1953	125	15	1,2)*})~({yclω	1,2)*})~({yclω	NUM
iajs-1953	125	16	.	.	PUNCT
iajs-1953	126	1	so	so	ADV
iajs-1953	126	2	we	we	PRON
iajs-1953	126	3	get	get	VERB
iajs-1953	126	4	,	,	PUNCT
iajs-1953	126	5	~~x	~~x	NOUN
iajs-1953	126	6	(	(	PUNCT
iajs-1953	126	7	1,2)*})~({xclω	1,2)*})~({xclω	NUM
iajs-1953	126	8	,	,	PUNCT
iajs-1953	126	9	but	but	CCONJ
iajs-1953	126	10			VERB
iajs-1953	126	11	~~x	~~x	X
iajs-1953	126	12	(	(	PUNCT
iajs-1953	126	13	1,2)*})~({yclω	1,2)*})~({yclω	NUM
iajs-1953	126	14	.	.	PUNCT
iajs-1953	127	1	thus	thus	ADV
iajs-1953	127	2	(	(	PUNCT
iajs-1953	127	3	1,2)*})~({xclω	1,2)*})~({xclω	NUM
iajs-1953	127	4			NOUN
iajs-1953	127	5	(	(	PUNCT
iajs-1953	127	6	1,2)*})~({yclω	1,2)*})~({yclω	NUM
iajs-1953	127	7	.	.	PUNCT
iajs-1953	128	1	conversely	conversely	ADV
iajs-1953	128	2	,	,	PUNCT
iajs-1953	128	3	to	to	PART
iajs-1953	128	4	prove	prove	VERB
iajs-1953	128	5	that	that	PRON
iajs-1953	128	6	)	)	PUNCT
iajs-1953	128	7	,	,	PUNCT
iajs-1953	128	8	~,~	~,~	NUM
iajs-1953	128	9	,	,	PUNCT
iajs-1953	128	10	(	(	PUNCT
iajs-1953	128	11	21	21	NUM
iajs-1953	128	12	pu	pu	PROPN
iajs-1953	128	13	ττ	ττ	PROPN
iajs-1953	128	14	is	be	AUX
iajs-1953	128	15	a	a	DET
iajs-1953	128	16	soft	soft	ADJ
iajs-1953	128	17	(	(	PUNCT
iajs-1953	128	18	1,2)*-ω0	1,2)*-ω0	NUM
iajs-1953	128	19	~	~	PUNCT
iajs-1953	128	20	t	t	NOUN
iajs-1953	128	21	-space	-space	NOUN
iajs-1953	128	22	.	.	PUNCT
iajs-1953	129	1	let	let	VERB
iajs-1953	129	2	uyx	uyx	NOUN
iajs-1953	129	3	~~~,~	~~~,~	PUNCT
iajs-1953	129	4			NOUN
iajs-1953	129	5	such	such	ADJ
iajs-1953	129	6	that	that	DET
iajs-1953	129	7	yx	yx	PROPN
iajs-1953	129	8	~~	~~	PROPN
iajs-1953	129	9			PROPN
iajs-1953	129	10	.	.	PUNCT
iajs-1953	130	1	since	since	SCONJ
iajs-1953	130	2	(	(	PUNCT
iajs-1953	130	3	1,2)*})~({xclω	1,2)*})~({xclω	NUM
iajs-1953	130	4			NOUN
iajs-1953	130	5	(	(	PUNCT
iajs-1953	130	6	1,2)*})~({yclω	1,2)*})~({yclω	NUM
iajs-1953	130	7	,	,	PUNCT
iajs-1953	130	8	then	then	ADV
iajs-1953	130	9	there	there	PRON
iajs-1953	130	10	exists	exist	VERB
iajs-1953	130	11	uz	uz	NOUN
iajs-1953	130	12	~~~	~~~	PUNCT
iajs-1953	130	13	such	such	ADJ
iajs-1953	130	14	that	that	SCONJ
iajs-1953	130	15	~~z	~~z	PROPN
iajs-1953	130	16	(	(	PUNCT
iajs-1953	130	17	1,2)*})~({xclω	1,2)*})~({xclω	NUM
iajs-1953	130	18	,	,	PUNCT
iajs-1953	130	19	but	but	CCONJ
iajs-1953	130	20			VERB
iajs-1953	130	21	~~z	~~z	INTJ
iajs-1953	130	22	(	(	PUNCT
iajs-1953	130	23	1,2)*})~({yclω	1,2)*})~({yclω	NUM
iajs-1953	130	24	.	.	PUNCT
iajs-1953	131	1	suppose	suppose	VERB
iajs-1953	131	2	~~z	~~z	PROPN
iajs-1953	131	3	(	(	PUNCT
iajs-1953	131	4	1,2)*})~({xclω	1,2)*})~({xclω	NUM
iajs-1953	131	5	,	,	PUNCT
iajs-1953	131	6	to	to	PART
iajs-1953	131	7	show	show	VERB
iajs-1953	131	8	that	that	SCONJ
iajs-1953	131	9			PUNCT
iajs-1953	131	10	~~x	~~x	X
iajs-1953	131	11	(	(	PUNCT
iajs-1953	131	12	1,2)*})~({yclω	1,2)*})~({yclω	NUM
iajs-1953	131	13	.	.	PUNCT
iajs-1953	132	1	if	if	SCONJ
iajs-1953	132	2	~~x	~~x	NOUN
iajs-1953	132	3	(	(	PUNCT
iajs-1953	132	4	1,2)*})~({yclω	1,2)*})~({yclω	NUM
iajs-1953	132	5			NOUN
iajs-1953	132	6	}	}	PUNCT
iajs-1953	132	7	~{x	~{x	ADJ
iajs-1953	132	8	~	~	NOUN
iajs-1953	132	9	(	(	PUNCT
iajs-1953	132	10	1,2)*})~({yclω	1,2)*})~({yclω	NUM
iajs-1953	132	11			NOUN
iajs-1953	132	12	(	(	PUNCT
iajs-1953	132	13	1,2)*})~({xclω	1,2)*})~({xclω	NUM
iajs-1953	132	14	~	~	NOUN
iajs-1953	132	15	(	(	PUNCT
iajs-1953	132	16	1,2)*clω	1,2)*clω	NUM
iajs-1953	132	17	(	(	PUNCT
iajs-1953	132	18	(	(	PUNCT
iajs-1953	132	19	1,2)*})~({yclω	1,2)*})~({yclω	NUM
iajs-1953	132	20	)	)	PUNCT
iajs-1953	132	21	=	=	SYM
iajs-1953	132	22	(	(	PUNCT
iajs-1953	132	23	1,2)*})~({yclω	1,2)*})~({yclω	NUM
iajs-1953	132	24	.	.	PUNCT
iajs-1953	133	1	since	since	SCONJ
iajs-1953	133	2	~~z	~~z	PROPN
iajs-1953	133	3	(	(	PUNCT
iajs-1953	133	4	1,2)*})~({xclω	1,2)*})~({xclω	NUM
iajs-1953	133	5			NOUN
iajs-1953	133	6	~~z	~~z	PROPN
iajs-1953	133	7	(	(	PUNCT
iajs-1953	133	8	1,2)*})~({yclω	1,2)*})~({yclω	NUM
iajs-1953	133	9	which	which	PRON
iajs-1953	133	10	is	be	AUX
iajs-1953	133	11	a	a	DET
iajs-1953	133	12	contradiction	contradiction	NOUN
iajs-1953	133	13	.	.	PUNCT
iajs-1953	134	1	thus	thus	ADV
iajs-1953	134	2			VERB
iajs-1953	134	3	~~x	~~x	X
iajs-1953	134	4	(	(	PUNCT
iajs-1953	134	5	1,2)*})~({yclω	1,2)*})~({yclω	NUM
iajs-1953	134	6			NOUN
iajs-1953	134	7	~~x	~~x	NOUN
iajs-1953	134	8	u	u	NOUN
iajs-1953	134	9	~	~	PUNCT
iajs-1953	134	10	(	(	PUNCT
iajs-1953	134	11	1,2)*})~({yclω	1,2)*})~({yclω	NUM
iajs-1953	134	12	,	,	PUNCT
iajs-1953	134	13	but	but	CCONJ
iajs-1953	134	14	(	(	PUNCT
iajs-1953	134	15	1,2)*})~({yclω	1,2)*})~({yclω	NUM
iajs-1953	134	16	is	be	AUX
iajs-1953	134	17	soft	soft	ADJ
iajs-1953	134	18	(	(	PUNCT
iajs-1953	134	19	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	134	20	-	-	PUNCT
iajs-1953	134	21	closed	closed	ADJ
iajs-1953	134	22	,	,	PUNCT
iajs-1953	134	23	so	so	SCONJ
iajs-1953	134	24	u	u	X
iajs-1953	134	25	~	~	PUNCT
iajs-1953	134	26	(	(	PUNCT
iajs-1953	134	27	1,2)*})~({yclω	1,2)*})~({yclω	NUM
iajs-1953	134	28	is	be	AUX
iajs-1953	134	29	soft	soft	ADJ
iajs-1953	134	30	(	(	PUNCT
iajs-1953	134	31	1,2)*ω	1,2)*ω	NUM
iajs-1953	134	32	-	-	PUNCT
iajs-1953	134	33	open	open	NOUN
iajs-1953	134	34	which	which	PRON
iajs-1953	134	35	contains	contain	VERB
iajs-1953	134	36	x~	x~	PROPN
iajs-1953	134	37	,	,	PUNCT
iajs-1953	134	38	but	but	CCONJ
iajs-1953	134	39	not	not	PART
iajs-1953	134	40	y~	y~	PROPN
iajs-1953	134	41	.	.	PUNCT
iajs-1953	135	1	therefore	therefore	ADV
iajs-1953	135	2	)	)	PUNCT
iajs-1953	135	3	,	,	PUNCT
iajs-1953	135	4	~,~	~,~	NUM
iajs-1953	135	5	,	,	PUNCT
iajs-1953	135	6	(	(	PUNCT
iajs-1953	135	7	21	21	NUM
iajs-1953	135	8	pu	pu	PROPN
iajs-1953	135	9	ττ	ττ	PROPN
iajs-1953	135	10	is	be	AUX
iajs-1953	135	11	a	a	DET
iajs-1953	135	12	soft	soft	ADJ
iajs-1953	135	13	(	(	PUNCT
iajs-1953	135	14	1,2)*-ω0	1,2)*-ω0	NUM
iajs-1953	135	15	~	~	PUNCT
iajs-1953	135	16	t	t	NOUN
iajs-1953	135	17	-space	-space	NOUN
iajs-1953	135	18	.	.	PUNCT
iajs-1953	136	1	https://doi.org/10.30526/31.2.19523	https://doi.org/10.30526/31.2.19523	PROPN
iajs-1953	137	1	https://doi.org/10.30526/31.2.1953	https://doi.org/10.30526/31.2.1953	PROPN
iajs-1953	137	2	mathmatics	mathmatics	PROPN
iajs-1953	137	3	|	|	ADV
iajs-1953	137	4	142	142	NUM
iajs-1953	137	5	8201	8201	NUM
iajs-1953	137	6	(	(	PUNCT
iajs-1953	137	7	عام	عام	ADP
iajs-1953	137	8	2العدد	2العدد	NUM
iajs-1953	137	9	)	)	PUNCT
iajs-1953	137	10	13لمجلد	13لمجلد	NUM
iajs-1953	138	1	ا	ا	INTJ
iajs-1953	139	1	مجلة	مجلة	PROPN
iajs-1953	139	2	إبن	إبن	VERB
iajs-1953	139	3	الهيثم	الهيثم	ADJ
iajs-1953	139	4	للعلوم	للعلوم	NOUN
iajs-1953	139	5	الصرفة	الصرفة	NOUN
iajs-1953	140	1	و	و	PRON
iajs-1953	140	2	التطبيقية	التطبيقية	ADJ
iajs-1953	140	3	ibn	ibn	PROPN
iajs-1953	140	4	al	al	PROPN
iajs-1953	140	5	-	-	PUNCT
iajs-1953	140	6	haitham	haitham	PROPN
iajs-1953	140	7	jour	jour	X
iajs-1953	140	8	.	.	PROPN
iajs-1953	140	9	for	for	ADP
iajs-1953	140	10	pure	pure	ADJ
iajs-1953	140	11	&	&	CCONJ
iajs-1953	140	12	appl	appl	PROPN
iajs-1953	140	13	.	.	PUNCT
iajs-1953	141	1	sci	sci	PROPN
iajs-1953	141	2	.	.	PUNCT
iajs-1953	141	3	vol	vol	NOUN
iajs-1953	141	4	.	.	PROPN
iajs-1953	142	1	31	31	NUM
iajs-1953	142	2	(	(	PUNCT
iajs-1953	142	3	2	2	NUM
iajs-1953	142	4	)	)	PUNCT
iajs-1953	142	5	2018	2018	NUM
iajs-1953	142	6	similarly	similarly	ADV
iajs-1953	142	7	,	,	PUNCT
iajs-1953	142	8	we	we	PRON
iajs-1953	142	9	can	can	AUX
iajs-1953	142	10	prove	prove	VERB
iajs-1953	142	11	other	other	ADJ
iajs-1953	142	12	cases	case	NOUN
iajs-1953	142	13	.	.	PUNCT
iajs-1953	143	1	theorem	theorem	NOUN
iajs-1953	143	2	(	(	PUNCT
iajs-1953	143	3	2.6	2.6	NUM
iajs-1953	143	4	):	):	PUNCT
iajs-1953	143	5	every	every	DET
iajs-1953	143	6	soft	soft	ADJ
iajs-1953	143	7	bitopological	bitopological	ADJ
iajs-1953	143	8	space	space	NOUN
iajs-1953	143	9	)	)	PUNCT
iajs-1953	143	10	,	,	PUNCT
iajs-1953	143	11	~,~	~,~	NUM
iajs-1953	143	12	,	,	PUNCT
iajs-1953	143	13	(	(	PUNCT
iajs-1953	143	14	21	21	NUM
iajs-1953	143	15	pu	pu	PROPN
iajs-1953	143	16	ττ	ττ	PROPN
iajs-1953	143	17	is	be	AUX
iajs-1953	143	18	a	a	DET
iajs-1953	143	19	soft	soft	ADJ
iajs-1953	143	20	(	(	PUNCT
iajs-1953	143	21	1,2)*-ω0	1,2)*-ω0	NUM
iajs-1953	143	22	~	~	PUNCT
iajs-1953	143	23	t	t	NOUN
iajs-1953	143	24	-space	-space	NOUN
iajs-1953	143	25	(	(	PUNCT
iajs-1953	143	26	resp	resp	NOUN
iajs-1953	143	27	.	.	PUNCT
iajs-1953	144	1	soft	soft	ADJ
iajs-1953	144	2	(	(	PUNCT
iajs-1953	144	3	1,2)*-α	1,2)*-α	NOUN
iajs-1953	144	4	-	-	PUNCT
iajs-1953	144	5	ω0	ω0	NOUN
iajs-1953	144	6	~	~	PUNCT
iajs-1953	144	7	t	t	NOUN
iajs-1953	144	8	-space	-space	NOUN
iajs-1953	144	9	,	,	PUNCT
iajs-1953	144	10	soft	soft	ADJ
iajs-1953	144	11	(	(	PUNCT
iajs-1953	144	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	144	13	-	-	PUNCT
iajs-1953	144	14	ω0	ω0	NOUN
iajs-1953	144	15	~	~	PUNCT
iajs-1953	144	16	t	t	NOUN
iajs-1953	144	17	-space	-space	NOUN
iajs-1953	144	18	,	,	PUNCT
iajs-1953	144	19	soft	soft	ADJ
iajs-1953	144	20	(	(	PUNCT
iajs-1953	144	21	1,2)*-b	1,2)*-b	NUM
iajs-1953	144	22	-	-	PUNCT
iajs-1953	144	23	ω0	ω0	NOUN
iajs-1953	144	24	~	~	PUNCT
iajs-1953	144	25	t	t	NOUN
iajs-1953	144	26	-space	-space	NOUN
iajs-1953	144	27	,	,	PUNCT
iajs-1953	144	28	soft	soft	ADJ
iajs-1953	144	29	(	(	PUNCT
iajs-1953	144	30	1,2)*-β	1,2)*-β	NOUN
iajs-1953	144	31	-	-	PUNCT
iajs-1953	144	32	ω0	ω0	NOUN
iajs-1953	144	33	~	~	PUNCT
iajs-1953	144	34	t	t	NOUN
iajs-1953	144	35	-space	-space	NOUN
iajs-1953	144	36	)	)	PUNCT
iajs-1953	144	37	.	.	PUNCT
iajs-1953	145	1	proof	proof	NOUN
iajs-1953	145	2	:	:	PUNCT
iajs-1953	145	3	let	let	VERB
iajs-1953	145	4	)	)	PUNCT
iajs-1953	145	5	,	,	PUNCT
iajs-1953	145	6	~,~	~,~	NUM
iajs-1953	145	7	,	,	PUNCT
iajs-1953	145	8	(	(	PUNCT
iajs-1953	145	9	21	21	NUM
iajs-1953	145	10	pu	pu	NOUN
iajs-1953	145	11	ττ	ττ	NOUN
iajs-1953	145	12	be	be	AUX
iajs-1953	145	13	any	any	DET
iajs-1953	145	14	soft	soft	ADJ
iajs-1953	145	15	bitopological	bitopological	ADJ
iajs-1953	145	16	space	space	NOUN
iajs-1953	145	17	and	and	CCONJ
iajs-1953	145	18	uyx	uyx	NOUN
iajs-1953	145	19	~~~,~	~~~,~	PUNCT
iajs-1953	145	20			NOUN
iajs-1953	145	21	such	such	ADJ
iajs-1953	145	22	that	that	DET
iajs-1953	145	23	yx	yx	PROPN
iajs-1953	145	24	~~	~~	PROPN
iajs-1953	145	25			PROPN
iajs-1953	145	26	.	.	PUNCT
iajs-1953	146	1	since	since	SCONJ
iajs-1953	146	2	}	}	PUNCT
iajs-1953	146	3	~	~	PUNCT
iajs-1953	146	4	{	{	PUNCT
iajs-1953	146	5	~	~	PUNCT
iajs-1953	146	6	yu	yu	PROPN
iajs-1953	146	7			PROPN
iajs-1953	146	8	is	be	AUX
iajs-1953	146	9	a	a	DET
iajs-1953	146	10	soft	soft	ADJ
iajs-1953	146	11	(	(	PUNCT
iajs-1953	146	12	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	146	13	-	-	ADJ
iajs-1953	146	14	open	open	ADJ
iajs-1953	146	15	(	(	PUNCT
iajs-1953	146	16	resp	resp	NOUN
iajs-1953	146	17	.	.	PUNCT
iajs-1953	147	1	soft	soft	ADJ
iajs-1953	147	2	(	(	PUNCT
iajs-1953	147	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	147	4	-	-	PUNCT
iajs-1953	147	5	ω	ω	NOUN
iajs-1953	147	6	-	-	ADJ
iajs-1953	147	7	open	open	ADJ
iajs-1953	147	8	,	,	PUNCT
iajs-1953	147	9	soft	soft	ADJ
iajs-1953	147	10	(	(	PUNCT
iajs-1953	147	11	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	147	12	-	-	PUNCT
iajs-1953	147	13	ω	ω	VERB
iajs-1953	147	14	-	-	ADJ
iajs-1953	147	15	open	open	ADJ
iajs-1953	147	16	,	,	PUNCT
iajs-1953	147	17	soft	soft	ADJ
iajs-1953	147	18	(	(	PUNCT
iajs-1953	147	19	1,2)*-b	1,2)*-b	NUM
iajs-1953	147	20	-	-	PUNCT
iajs-1953	147	21	ω	ω	NOUN
iajs-1953	147	22	-	-	ADJ
iajs-1953	147	23	open	open	ADJ
iajs-1953	147	24	,	,	PUNCT
iajs-1953	147	25	soft	soft	ADJ
iajs-1953	147	26	(	(	PUNCT
iajs-1953	147	27	1,2)*-β	1,2)*-β	NUM
iajs-1953	147	28	-	-	PUNCT
iajs-1953	147	29	ω	ω	NOUN
iajs-1953	147	30	-	-	ADJ
iajs-1953	147	31	open	open	ADJ
iajs-1953	147	32	)	)	PUNCT
iajs-1953	147	33	subset	subset	NOUN
iajs-1953	147	34	of	of	ADP
iajs-1953	147	35	u	u	NOUN
iajs-1953	147	36	~	~	PUNCT
iajs-1953	147	37	containing	contain	VERB
iajs-1953	147	38	x~	x~	PROPN
iajs-1953	147	39	,	,	PUNCT
iajs-1953	147	40	but	but	CCONJ
iajs-1953	147	41	not	not	PART
iajs-1953	147	42	y~	y~	PROPN
iajs-1953	147	43	.	.	PUNCT
iajs-1953	148	1	therefore	therefore	ADV
iajs-1953	148	2	)	)	PUNCT
iajs-1953	148	3	,	,	PUNCT
iajs-1953	148	4	~,~	~,~	NUM
iajs-1953	148	5	,	,	PUNCT
iajs-1953	148	6	(	(	PUNCT
iajs-1953	148	7	21	21	NUM
iajs-1953	148	8	pu	pu	PROPN
iajs-1953	148	9	ττ	ττ	PROPN
iajs-1953	148	10	is	be	AUX
iajs-1953	148	11	a	a	DET
iajs-1953	148	12	soft	soft	ADJ
iajs-1953	148	13	(	(	PUNCT
iajs-1953	148	14	1,2)*-ω0	1,2)*-ω0	NUM
iajs-1953	148	15	~	~	PUNCT
iajs-1953	148	16	t	t	NOUN
iajs-1953	148	17	-space	-space	NOUN
iajs-1953	148	18	(	(	PUNCT
iajs-1953	148	19	resp	resp	NOUN
iajs-1953	148	20	.	.	PUNCT
iajs-1953	149	1	soft	soft	ADJ
iajs-1953	149	2	(	(	PUNCT
iajs-1953	149	3	1,2)*-α	1,2)*-α	NOUN
iajs-1953	149	4	-	-	PUNCT
iajs-1953	149	5	ω0	ω0	NOUN
iajs-1953	149	6	~	~	PUNCT
iajs-1953	149	7	t	t	NOUN
iajs-1953	149	8	-space	-space	NOUN
iajs-1953	149	9	,	,	PUNCT
iajs-1953	149	10	soft	soft	ADJ
iajs-1953	149	11	(	(	PUNCT
iajs-1953	149	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	149	13	-	-	PUNCT
iajs-1953	149	14	ω0	ω0	NOUN
iajs-1953	149	15	~	~	PUNCT
iajs-1953	149	16	t	t	NOUN
iajs-1953	149	17	-space	-space	NOUN
iajs-1953	149	18	,	,	PUNCT
iajs-1953	149	19	soft	soft	ADJ
iajs-1953	149	20	(	(	PUNCT
iajs-1953	149	21	1,2)*-b	1,2)*-b	NUM
iajs-1953	149	22	-	-	PUNCT
iajs-1953	149	23	ω0	ω0	NOUN
iajs-1953	149	24	~	~	PUNCT
iajs-1953	149	25	t	t	NOUN
iajs-1953	149	26	-space	-space	NOUN
iajs-1953	149	27	,	,	PUNCT
iajs-1953	149	28	soft	soft	ADJ
iajs-1953	149	29	(	(	PUNCT
iajs-1953	149	30	1,2)*-β	1,2)*-β	NOUN
iajs-1953	149	31	-	-	PUNCT
iajs-1953	149	32	ω0	ω0	NOUN
iajs-1953	149	33	~	~	PUNCT
iajs-1953	149	34	t	t	NOUN
iajs-1953	149	35	-space	-space	NOUN
iajs-1953	149	36	)	)	PUNCT
iajs-1953	149	37	.	.	PUNCT
iajs-1953	150	1	corollary	corollary	ADJ
iajs-1953	150	2	(	(	PUNCT
iajs-1953	150	3	2.7	2.7	NUM
iajs-1953	150	4	):	):	PUNCT
iajs-1953	150	5	every	every	DET
iajs-1953	150	6	soft	soft	ADJ
iajs-1953	150	7	subspace	subspace	NOUN
iajs-1953	150	8	of	of	ADP
iajs-1953	150	9	a	a	DET
iajs-1953	150	10	soft	soft	ADJ
iajs-1953	150	11	(	(	PUNCT
iajs-1953	150	12	1,2)*-ω0	1,2)*-ω0	NUM
iajs-1953	150	13	~	~	PUNCT
iajs-1953	150	14	t	t	NOUN
iajs-1953	150	15	-space	-space	NOUN
iajs-1953	150	16	(	(	PUNCT
iajs-1953	150	17	resp	resp	NOUN
iajs-1953	150	18	.	.	PUNCT
iajs-1953	151	1	soft	soft	ADJ
iajs-1953	151	2	(	(	PUNCT
iajs-1953	151	3	1,2)*-α	1,2)*-α	NOUN
iajs-1953	151	4	-	-	PUNCT
iajs-1953	151	5	ω0	ω0	NOUN
iajs-1953	151	6	~	~	PUNCT
iajs-1953	151	7	t	t	NOUN
iajs-1953	151	8	space	space	NOUN
iajs-1953	151	9	,	,	PUNCT
iajs-1953	151	10	soft	soft	ADJ
iajs-1953	151	11	(	(	PUNCT
iajs-1953	151	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	151	13	-	-	PUNCT
iajs-1953	151	14	ω0	ω0	NOUN
iajs-1953	151	15	~	~	PUNCT
iajs-1953	151	16	t	t	NOUN
iajs-1953	151	17	-space	-space	NOUN
iajs-1953	151	18	,	,	PUNCT
iajs-1953	151	19	soft	soft	ADJ
iajs-1953	151	20	(	(	PUNCT
iajs-1953	151	21	1,2)*-b	1,2)*-b	NUM
iajs-1953	151	22	-	-	PUNCT
iajs-1953	151	23	ω0	ω0	NOUN
iajs-1953	151	24	~	~	PUNCT
iajs-1953	151	25	t	t	NOUN
iajs-1953	151	26	-space	-space	NOUN
iajs-1953	151	27	,	,	PUNCT
iajs-1953	151	28	soft	soft	ADJ
iajs-1953	151	29	(	(	PUNCT
iajs-1953	151	30	1,2)*-β	1,2)*-β	NOUN
iajs-1953	151	31	-	-	PUNCT
iajs-1953	151	32	ω0	ω0	NOUN
iajs-1953	151	33	~	~	PUNCT
iajs-1953	151	34	t	t	NOUN
iajs-1953	151	35	-space	-space	NOUN
iajs-1953	151	36	)	)	PUNCT
iajs-1953	151	37	is	be	AUX
iajs-1953	151	38	a	a	DET
iajs-1953	151	39	soft	soft	ADJ
iajs-1953	151	40	(	(	PUNCT
iajs-1953	151	41	1,2)*-ω0	1,2)*-ω0	NUM
iajs-1953	151	42	~	~	PUNCT
iajs-1953	151	43	t	t	NOUN
iajs-1953	151	44	-space	-space	NOUN
iajs-1953	151	45	(	(	PUNCT
iajs-1953	151	46	resp	resp	NOUN
iajs-1953	151	47	.	.	PUNCT
iajs-1953	152	1	soft	soft	ADJ
iajs-1953	152	2	(	(	PUNCT
iajs-1953	152	3	1,2)*-α	1,2)*-α	NOUN
iajs-1953	152	4	-	-	PUNCT
iajs-1953	152	5	ω0	ω0	NOUN
iajs-1953	152	6	~	~	PUNCT
iajs-1953	152	7	t	t	NOUN
iajs-1953	152	8	-space	-space	NOUN
iajs-1953	152	9	,	,	PUNCT
iajs-1953	152	10	soft	soft	ADJ
iajs-1953	152	11	(	(	PUNCT
iajs-1953	152	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	152	13	-	-	PUNCT
iajs-1953	152	14	ω0	ω0	NOUN
iajs-1953	152	15	~	~	PUNCT
iajs-1953	152	16	t	t	NOUN
iajs-1953	152	17	-space	-space	NOUN
iajs-1953	152	18	,	,	PUNCT
iajs-1953	152	19	soft	soft	ADJ
iajs-1953	152	20	(	(	PUNCT
iajs-1953	152	21	1,2)*-b	1,2)*-b	NUM
iajs-1953	152	22	-	-	PUNCT
iajs-1953	152	23	ω0	ω0	NOUN
iajs-1953	152	24	~	~	PUNCT
iajs-1953	152	25	t	t	NOUN
iajs-1953	152	26	-space	-space	NOUN
iajs-1953	152	27	,	,	PUNCT
iajs-1953	152	28	soft	soft	ADJ
iajs-1953	152	29	(	(	PUNCT
iajs-1953	152	30	1,2)*-β	1,2)*-β	NOUN
iajs-1953	152	31	-	-	PUNCT
iajs-1953	152	32	ω0	ω0	NOUN
iajs-1953	152	33	~	~	PUNCT
iajs-1953	152	34	t	t	NOUN
iajs-1953	152	35	-space	-space	NOUN
iajs-1953	152	36	)	)	PUNCT
iajs-1953	152	37	.	.	PUNCT
iajs-1953	153	1	proof	proof	NOUN
iajs-1953	153	2	:	:	PUNCT
iajs-1953	153	3	it	it	PRON
iajs-1953	153	4	is	be	AUX
iajs-1953	153	5	obvious	obvious	ADJ
iajs-1953	153	6	.	.	PUNCT
iajs-1953	154	1	proposition	proposition	NOUN
iajs-1953	154	2	(	(	PUNCT
iajs-1953	154	3	2.8	2.8	NUM
iajs-1953	154	4	):	):	PUNCT
iajs-1953	154	5	if	if	SCONJ
iajs-1953	154	6	)	)	PUNCT
iajs-1953	154	7	,	,	PUNCT
iajs-1953	154	8	~	~	PUNCT
iajs-1953	154	9	,	,	PUNCT
iajs-1953	154	10	(	(	PUNCT
iajs-1953	154	11	1	1	NUM
iajs-1953	154	12	pu	pu	PROPN
iajs-1953	154	13	τ	τ	PROPN
iajs-1953	154	14	or	or	CCONJ
iajs-1953	154	15	)	)	PUNCT
iajs-1953	154	16	,	,	PUNCT
iajs-1953	154	17	~	~	PUNCT
iajs-1953	154	18	,	,	PUNCT
iajs-1953	154	19	(	(	PUNCT
iajs-1953	154	20	2	2	NUM
iajs-1953	154	21	pu	pu	PROPN
iajs-1953	154	22	τ	τ	PROPN
iajs-1953	154	23	is	be	AUX
iajs-1953	154	24	a	a	DET
iajs-1953	154	25	soft	soft	ADJ
iajs-1953	154	26	0	0	NUM
iajs-1953	154	27	~	~	PUNCT
iajs-1953	154	28	t	t	NOUN
iajs-1953	154	29	-space	-space	NOUN
iajs-1953	154	30	,	,	PUNCT
iajs-1953	154	31	then	then	ADV
iajs-1953	154	32	)	)	PUNCT
iajs-1953	154	33	,	,	PUNCT
iajs-1953	154	34	~,~	~,~	NUM
iajs-1953	154	35	,	,	PUNCT
iajs-1953	154	36	(	(	PUNCT
iajs-1953	154	37	21	21	NUM
iajs-1953	154	38	pu	pu	PROPN
iajs-1953	154	39	ττ	ττ	PROPN
iajs-1953	154	40	is	be	AUX
iajs-1953	154	41	a	a	DET
iajs-1953	154	42	soft	soft	ADJ
iajs-1953	154	43	(	(	PUNCT
iajs-1953	154	44	1,2)*-ω0	1,2)*-ω0	NUM
iajs-1953	154	45	~	~	PUNCT
iajs-1953	154	46	t	t	NOUN
iajs-1953	154	47	-space	-space	NOUN
iajs-1953	154	48	(	(	PUNCT
iajs-1953	154	49	resp	resp	NOUN
iajs-1953	154	50	.	.	PUNCT
iajs-1953	155	1	soft	soft	ADJ
iajs-1953	155	2	(	(	PUNCT
iajs-1953	155	3	1,2)*-α	1,2)*-α	NOUN
iajs-1953	155	4	-	-	PUNCT
iajs-1953	155	5	ω0	ω0	NOUN
iajs-1953	155	6	~	~	PUNCT
iajs-1953	155	7	t	t	NOUN
iajs-1953	155	8	-space	-space	NOUN
iajs-1953	155	9	,	,	PUNCT
iajs-1953	155	10	soft	soft	ADJ
iajs-1953	155	11	(	(	PUNCT
iajs-1953	155	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	155	13	-	-	PUNCT
iajs-1953	155	14	ω0	ω0	NOUN
iajs-1953	155	15	~	~	PUNCT
iajs-1953	155	16	t	t	NOUN
iajs-1953	155	17	-space	-space	NOUN
iajs-1953	155	18	,	,	PUNCT
iajs-1953	155	19	soft	soft	ADJ
iajs-1953	155	20	(	(	PUNCT
iajs-1953	155	21	1,2)*-bω0	1,2)*-bω0	NUM
iajs-1953	155	22	~	~	PUNCT
iajs-1953	155	23	t	t	NOUN
iajs-1953	155	24	-space	-space	NOUN
iajs-1953	155	25	,	,	PUNCT
iajs-1953	155	26	soft	soft	ADJ
iajs-1953	155	27	(	(	PUNCT
iajs-1953	155	28	1,2)*-β	1,2)*-β	NOUN
iajs-1953	155	29	-	-	PUNCT
iajs-1953	155	30	ω0	ω0	NOUN
iajs-1953	155	31	~	~	PUNCT
iajs-1953	155	32	t	t	NOUN
iajs-1953	155	33	-space	-space	NOUN
iajs-1953	155	34	)	)	PUNCT
iajs-1953	155	35	.	.	PUNCT
iajs-1953	156	1	proof	proof	NOUN
iajs-1953	156	2	:	:	PUNCT
iajs-1953	156	3	it	it	PRON
iajs-1953	156	4	follows	follow	VERB
iajs-1953	156	5	from	from	ADP
iajs-1953	156	6	the	the	DET
iajs-1953	156	7	fact	fact	NOUN
iajs-1953	156	8	~~	~~	X
iajs-1953	156	9	iτ	iτ	NOUN
iajs-1953	156	10	soft	soft	ADJ
iajs-1953	156	11	21	21	NUM
iajs-1953	156	12	~~	~~	NUM
iajs-1953	156	13	ττ	ττ	NOUN
iajs-1953	156	14	-open	-open	PROPN
iajs-1953	156	15	sets	set	NOUN
iajs-1953	156	16	inu	inu	NOUN
iajs-1953	156	17	~	~	PUNCT
iajs-1953	156	18	,	,	PUNCT
iajs-1953	156	19	2,1i	2,1i	NUM
iajs-1953	156	20	and	and	CCONJ
iajs-1953	156	21	proposition	proposition	NOUN
iajs-1953	156	22	(	(	PUNCT
iajs-1953	156	23	2.2	2.2	NUM
iajs-1953	156	24	)	)	PUNCT
iajs-1953	156	25	.	.	PUNCT
iajs-1953	157	1	remark	remark	NOUN
iajs-1953	157	2	(	(	PUNCT
iajs-1953	157	3	2.9	2.9	NUM
iajs-1953	157	4	):	):	PUNCT
iajs-1953	157	5	the	the	DET
iajs-1953	157	6	converse	converse	NOUN
iajs-1953	157	7	of	of	ADP
iajs-1953	157	8	proposition	proposition	NOUN
iajs-1953	157	9	(	(	PUNCT
iajs-1953	157	10	2.8	2.8	NUM
iajs-1953	157	11	)	)	PUNCT
iajs-1953	157	12	is	be	AUX
iajs-1953	157	13	not	not	PART
iajs-1953	157	14	true	true	ADJ
iajs-1953	157	15	in	in	ADP
iajs-1953	157	16	general	general	ADJ
iajs-1953	157	17	in	in	ADP
iajs-1953	157	18	example	example	NOUN
iajs-1953	157	19	(	(	PUNCT
iajs-1953	157	20	2.4	2.4	NUM
iajs-1953	157	21	)	)	PUNCT
iajs-1953	157	22	,	,	PUNCT
iajs-1953	157	23	)	)	PUNCT
iajs-1953	157	24	,	,	PUNCT
iajs-1953	157	25	~,~	~,~	NUM
iajs-1953	157	26	,	,	PUNCT
iajs-1953	157	27	(	(	PUNCT
iajs-1953	157	28	21	21	NUM
iajs-1953	157	29	pu	pu	PROPN
iajs-1953	157	30	ττ	ττ	PROPN
iajs-1953	157	31	is	be	AUX
iajs-1953	157	32	a	a	DET
iajs-1953	157	33	soft	soft	ADJ
iajs-1953	157	34	(	(	PUNCT
iajs-1953	157	35	1,2)*-ω0	1,2)*-ω0	NUM
iajs-1953	157	36	~	~	PUNCT
iajs-1953	157	37	t	t	NOUN
iajs-1953	157	38	-space	-space	NOUN
iajs-1953	157	39	(	(	PUNCT
iajs-1953	157	40	resp	resp	NOUN
iajs-1953	157	41	.	.	PUNCT
iajs-1953	158	1	soft	soft	ADJ
iajs-1953	158	2	(	(	PUNCT
iajs-1953	158	3	1,2)*-α	1,2)*-α	NOUN
iajs-1953	158	4	-	-	PUNCT
iajs-1953	158	5	ω0	ω0	NOUN
iajs-1953	158	6	~	~	PUNCT
iajs-1953	158	7	t	t	NOUN
iajs-1953	158	8	-space	-space	NOUN
iajs-1953	158	9	,	,	PUNCT
iajs-1953	158	10	soft	soft	ADJ
iajs-1953	158	11	(	(	PUNCT
iajs-1953	158	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	158	13	-	-	PUNCT
iajs-1953	158	14	ω0	ω0	NOUN
iajs-1953	158	15	~	~	PUNCT
iajs-1953	158	16	t	t	NOUN
iajs-1953	158	17	-space	-space	NOUN
iajs-1953	158	18	,	,	PUNCT
iajs-1953	158	19	soft	soft	ADJ
iajs-1953	158	20	(	(	PUNCT
iajs-1953	158	21	1,2)*-b	1,2)*-b	NUM
iajs-1953	158	22	-	-	PUNCT
iajs-1953	158	23	ω0	ω0	NOUN
iajs-1953	158	24	~	~	PUNCT
iajs-1953	158	25	t	t	NOUN
iajs-1953	158	26	-space	-space	NOUN
iajs-1953	158	27	,	,	PUNCT
iajs-1953	158	28	soft	soft	ADJ
iajs-1953	158	29	(	(	PUNCT
iajs-1953	158	30	1,2)*-β	1,2)*-β	NOUN
iajs-1953	158	31	-	-	PUNCT
iajs-1953	158	32	ω0	ω0	NOUN
iajs-1953	158	33	~	~	PUNCT
iajs-1953	158	34	t	t	NOUN
iajs-1953	158	35	-space	-space	NOUN
iajs-1953	158	36	)	)	PUNCT
iajs-1953	158	37	,	,	PUNCT
iajs-1953	158	38	but	but	CCONJ
iajs-1953	158	39	both	both	PRON
iajs-1953	158	40	)	)	PUNCT
iajs-1953	158	41	,	,	PUNCT
iajs-1953	158	42	~	~	PUNCT
iajs-1953	158	43	,	,	PUNCT
iajs-1953	158	44	(	(	PUNCT
iajs-1953	158	45	1	1	NUM
iajs-1953	158	46	pu	pu	PROPN
iajs-1953	158	47	τ	τ	PROPN
iajs-1953	158	48	and	and	CCONJ
iajs-1953	158	49	)	)	PUNCT
iajs-1953	158	50	,	,	PUNCT
iajs-1953	159	1	~	~	PUNCT
iajs-1953	159	2	,	,	PUNCT
iajs-1953	159	3	(	(	PUNCT
iajs-1953	159	4	2	2	NUM
iajs-1953	159	5	pu	pu	PROPN
iajs-1953	159	6	τ	τ	PROPN
iajs-1953	159	7	are	be	AUX
iajs-1953	159	8	not	not	PART
iajs-1953	159	9	soft	soft	ADJ
iajs-1953	159	10	0	0	NUM
iajs-1953	159	11	~	~	PUNCT
iajs-1953	159	12	t	t	NOUN
iajs-1953	159	13	-space	-space	NOUN
iajs-1953	159	14	.	.	PUNCT
iajs-1953	160	1	definition	definition	NOUN
iajs-1953	160	2	(	(	PUNCT
iajs-1953	160	3	2.10	2.10	NUM
iajs-1953	160	4	):	):	PUNCT
iajs-1953	160	5	a	a	DET
iajs-1953	160	6	soft	soft	ADJ
iajs-1953	160	7	bitopological	bitopological	ADJ
iajs-1953	160	8	space	space	NOUN
iajs-1953	160	9	)	)	PUNCT
iajs-1953	160	10	,	,	PUNCT
iajs-1953	160	11	~,~	~,~	NUM
iajs-1953	160	12	,	,	PUNCT
iajs-1953	160	13	(	(	PUNCT
iajs-1953	160	14	21	21	NUM
iajs-1953	160	15	pu	pu	PROPN
iajs-1953	160	16	ττ	ττ	PROPN
iajs-1953	160	17	is	be	AUX
iajs-1953	160	18	called	call	VERB
iajs-1953	160	19	a	a	DET
iajs-1953	160	20	soft	soft	ADJ
iajs-1953	160	21	(	(	PUNCT
iajs-1953	160	22	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	160	23	1	1	NUM
iajs-1953	160	24	~	~	PUNCT
iajs-1953	160	25	t	t	NOUN
iajs-1953	160	26	-space	-space	NOUN
iajs-1953	160	27	(	(	PUNCT
iajs-1953	160	28	resp	resp	NOUN
iajs-1953	160	29	.	.	PUNCT
iajs-1953	161	1	soft	soft	ADJ
iajs-1953	161	2	(	(	PUNCT
iajs-1953	161	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	161	4	-	-	NUM
iajs-1953	161	5	ω2	ω2	ADJ
iajs-1953	161	6	1	1	NUM
iajs-1953	161	7	~	~	PUNCT
iajs-1953	161	8	t	t	NOUN
iajs-1953	161	9	-space	-space	NOUN
iajs-1953	161	10	,	,	PUNCT
iajs-1953	161	11	soft	soft	ADJ
iajs-1953	161	12	(	(	PUNCT
iajs-1953	161	13	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	161	14	-	-	PUNCT
iajs-1953	161	15	ω2	ω2	ADJ
iajs-1953	161	16	1	1	NUM
iajs-1953	161	17	~	~	PUNCT
iajs-1953	161	18	t	t	NOUN
iajs-1953	161	19	-space	-space	NOUN
iajs-1953	161	20	,	,	PUNCT
iajs-1953	161	21	soft	soft	ADJ
iajs-1953	161	22	(	(	PUNCT
iajs-1953	161	23	1,2)*-b	1,2)*-b	NUM
iajs-1953	161	24	-	-	PUNCT
iajs-1953	161	25	ω2	ω2	ADJ
iajs-1953	161	26	1	1	NUM
iajs-1953	161	27	~	~	PUNCT
iajs-1953	161	28	t	t	NOUN
iajs-1953	161	29	-space	-space	NOUN
iajs-1953	161	30	,	,	PUNCT
iajs-1953	161	31	soft	soft	ADJ
iajs-1953	161	32	(	(	PUNCT
iajs-1953	161	33	1,2)*-β	1,2)*-β	NUM
iajs-1953	161	34	-	-	PUNCT
iajs-1953	161	35	ω2	ω2	ADJ
iajs-1953	161	36	1	1	NUM
iajs-1953	161	37	~	~	PUNCT
iajs-1953	161	38	t	t	NOUN
iajs-1953	161	39	-space	-space	NOUN
iajs-1953	161	40	)	)	PUNCT
iajs-1953	161	41	if	if	SCONJ
iajs-1953	161	42	every	every	DET
iajs-1953	161	43	soft	soft	ADJ
iajs-1953	161	44	singleton	singleton	NOUN
iajs-1953	161	45	set	set	VERB
iajs-1953	161	46	inu	inu	NOUN
iajs-1953	161	47	~	~	PUNCT
iajs-1953	161	48	is	be	AUX
iajs-1953	161	49	either	either	CCONJ
iajs-1953	161	50	soft	soft	ADJ
iajs-1953	161	51	(	(	PUNCT
iajs-1953	161	52	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	161	53	-	-	ADJ
iajs-1953	161	54	open	open	ADJ
iajs-1953	161	55	(	(	PUNCT
iajs-1953	161	56	resp	resp	NOUN
iajs-1953	161	57	.	.	PUNCT
iajs-1953	162	1	soft	soft	ADJ
iajs-1953	162	2	(	(	PUNCT
iajs-1953	162	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	162	4	-	-	PUNCT
iajs-1953	162	5	ω	ω	NOUN
iajs-1953	162	6	-	-	ADJ
iajs-1953	162	7	open	open	ADJ
iajs-1953	162	8	,	,	PUNCT
iajs-1953	162	9	soft	soft	ADJ
iajs-1953	162	10	(	(	PUNCT
iajs-1953	162	11	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	162	12	-	-	PUNCT
iajs-1953	162	13	ω	ω	VERB
iajs-1953	162	14	-	-	ADJ
iajs-1953	162	15	open	open	ADJ
iajs-1953	162	16	,	,	PUNCT
iajs-1953	162	17	soft	soft	ADJ
iajs-1953	162	18	(	(	PUNCT
iajs-1953	162	19	1,2)*-b	1,2)*-b	NUM
iajs-1953	162	20	-	-	PUNCT
iajs-1953	162	21	ω	ω	NOUN
iajs-1953	162	22	-	-	ADJ
iajs-1953	162	23	open	open	ADJ
iajs-1953	162	24	,	,	PUNCT
iajs-1953	162	25	soft	soft	ADJ
iajs-1953	162	26	(	(	PUNCT
iajs-1953	162	27	1,2)*-β	1,2)*-β	NUM
iajs-1953	162	28	-	-	PUNCT
iajs-1953	162	29	ω	ω	NOUN
iajs-1953	162	30	-	-	NOUN
iajs-1953	162	31	open	open	ADJ
iajs-1953	162	32	)	)	PUNCT
iajs-1953	162	33	or	or	CCONJ
iajs-1953	162	34	soft	soft	ADJ
iajs-1953	162	35	(	(	PUNCT
iajs-1953	162	36	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	162	37	-	-	PUNCT
iajs-1953	162	38	closed	closed	ADJ
iajs-1953	162	39	(	(	PUNCT
iajs-1953	162	40	resp	resp	NOUN
iajs-1953	162	41	.	.	PUNCT
iajs-1953	162	42	soft	soft	ADJ
iajs-1953	162	43	(	(	PUNCT
iajs-1953	162	44	1,2)*-α	1,2)*-α	NUM
iajs-1953	162	45	-	-	PUNCT
iajs-1953	162	46	ω	ω	NOUN
iajs-1953	162	47	-	-	PUNCT
iajs-1953	162	48	closed	closed	ADJ
iajs-1953	162	49	,	,	PUNCT
iajs-1953	162	50	soft	soft	ADJ
iajs-1953	162	51	(	(	PUNCT
iajs-1953	162	52	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	162	53	-	-	PUNCT
iajs-1953	162	54	ω	ω	NOUN
iajs-1953	162	55	-	-	PUNCT
iajs-1953	162	56	closed	closed	ADJ
iajs-1953	162	57	,	,	PUNCT
iajs-1953	162	58	soft	soft	ADJ
iajs-1953	162	59	(	(	PUNCT
iajs-1953	162	60	1,2)*-b	1,2)*-b	NUM
iajs-1953	162	61	-	-	PUNCT
iajs-1953	162	62	ω	ω	NOUN
iajs-1953	162	63	-	-	PUNCT
iajs-1953	162	64	closed	closed	ADJ
iajs-1953	162	65	,	,	PUNCT
iajs-1953	162	66	soft	soft	ADJ
iajs-1953	162	67	(	(	PUNCT
iajs-1953	162	68	1,2)*-β	1,2)*-β	NUM
iajs-1953	162	69	-	-	PUNCT
iajs-1953	162	70	ω	ω	NOUN
iajs-1953	162	71	-	-	PUNCT
iajs-1953	162	72	closed	closed	ADJ
iajs-1953	162	73	)	)	PUNCT
iajs-1953	162	74	.	.	PUNCT
iajs-1953	163	1	proposition	proposition	NOUN
iajs-1953	163	2	(	(	PUNCT
iajs-1953	163	3	2.11	2.11	NUM
iajs-1953	163	4	):	):	PUNCT
iajs-1953	163	5	every	every	DET
iajs-1953	163	6	soft	soft	ADJ
iajs-1953	163	7	(	(	PUNCT
iajs-1953	163	8	1,2)*2	1,2)*2	NUM
iajs-1953	163	9	1	1	NUM
iajs-1953	163	10	~	~	PUNCT
iajs-1953	163	11	t	t	NOUN
iajs-1953	163	12	-space	-space	NOUN
iajs-1953	163	13	is	be	AUX
iajs-1953	163	14	a	a	DET
iajs-1953	163	15	soft	soft	ADJ
iajs-1953	163	16	(	(	PUNCT
iajs-1953	163	17	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	163	18	1	1	NUM
iajs-1953	163	19	~	~	PUNCT
iajs-1953	163	20	t	t	NOUN
iajs-1953	163	21	-space	-space	NOUN
iajs-1953	163	22	(	(	PUNCT
iajs-1953	163	23	resp	resp	NOUN
iajs-1953	163	24	.	.	PUNCT
iajs-1953	164	1	soft	soft	ADJ
iajs-1953	164	2	(	(	PUNCT
iajs-1953	164	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	164	4	-	-	NUM
iajs-1953	164	5	ω2	ω2	ADJ
iajs-1953	164	6	1	1	NUM
iajs-1953	164	7	~	~	PUNCT
iajs-1953	164	8	t	t	NOUN
iajs-1953	164	9	-space	-space	NOUN
iajs-1953	164	10	,	,	PUNCT
iajs-1953	164	11	soft	soft	ADJ
iajs-1953	164	12	(	(	PUNCT
iajs-1953	164	13	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	164	14	-	-	PUNCT
iajs-1953	164	15	ω2	ω2	ADJ
iajs-1953	164	16	1	1	NUM
iajs-1953	164	17	~	~	PUNCT
iajs-1953	164	18	t	t	NOUN
iajs-1953	164	19	-space	-space	NOUN
iajs-1953	164	20	,	,	PUNCT
iajs-1953	164	21	soft	soft	ADJ
iajs-1953	164	22	(	(	PUNCT
iajs-1953	164	23	1,2)*-b	1,2)*-b	NUM
iajs-1953	164	24	-	-	PUNCT
iajs-1953	164	25	ω2	ω2	ADJ
iajs-1953	164	26	1	1	NUM
iajs-1953	164	27	~	~	PUNCT
iajs-1953	164	28	t	t	NOUN
iajs-1953	164	29	-space	-space	NOUN
iajs-1953	164	30	,	,	PUNCT
iajs-1953	164	31	soft	soft	ADJ
iajs-1953	164	32	(	(	PUNCT
iajs-1953	164	33	1,2)*-βω2	1,2)*-βω2	PROPN
iajs-1953	164	34	1	1	NUM
iajs-1953	164	35	~	~	PUNCT
iajs-1953	164	36	t	t	NOUN
iajs-1953	164	37	-space	-space	NOUN
iajs-1953	164	38	)	)	PUNCT
iajs-1953	164	39	.	.	PUNCT
iajs-1953	165	1	proof	proof	NOUN
iajs-1953	165	2	:	:	PUNCT
iajs-1953	165	3	it	it	PRON
iajs-1953	165	4	is	be	AUX
iajs-1953	165	5	obvious	obvious	ADJ
iajs-1953	165	6	.	.	PUNCT
iajs-1953	166	1	remark	remark	NOUN
iajs-1953	166	2	(	(	PUNCT
iajs-1953	166	3	2.12	2.12	NUM
iajs-1953	166	4	):	):	PUNCT
iajs-1953	166	5	the	the	DET
iajs-1953	166	6	converse	converse	NOUN
iajs-1953	166	7	of	of	ADP
iajs-1953	166	8	proposition	proposition	NOUN
iajs-1953	166	9	(	(	PUNCT
iajs-1953	166	10	2.11	2.11	NUM
iajs-1953	166	11	)	)	PUNCT
iajs-1953	166	12	is	be	AUX
iajs-1953	166	13	not	not	PART
iajs-1953	166	14	true	true	ADJ
iajs-1953	166	15	in	in	ADP
iajs-1953	166	16	general	general	ADJ
iajs-1953	166	17	.	.	PUNCT
iajs-1953	167	1	in	in	ADP
iajs-1953	167	2	example	example	NOUN
iajs-1953	167	3	(	(	PUNCT
iajs-1953	167	4	2.4	2.4	NUM
iajs-1953	167	5	)	)	PUNCT
iajs-1953	167	6	)	)	PUNCT
iajs-1953	167	7	,	,	PUNCT
iajs-1953	167	8	~,~	~,~	X
iajs-1953	167	9	,	,	PUNCT
iajs-1953	167	10	(	(	PUNCT
iajs-1953	167	11	21	21	NUM
iajs-1953	167	12	pu	pu	PROPN
iajs-1953	167	13	ττ	ττ	PROPN
iajs-1953	167	14	is	be	AUX
iajs-1953	167	15	a	a	DET
iajs-1953	167	16	soft	soft	ADJ
iajs-1953	167	17	(	(	PUNCT
iajs-1953	167	18	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	167	19	1	1	NUM
iajs-1953	167	20	~	~	PUNCT
iajs-1953	167	21	t	t	NOUN
iajs-1953	167	22	-space	-space	NOUN
iajs-1953	167	23	(	(	PUNCT
iajs-1953	167	24	resp	resp	NOUN
iajs-1953	167	25	.	.	PUNCT
iajs-1953	168	1	soft	soft	ADJ
iajs-1953	168	2	(	(	PUNCT
iajs-1953	168	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	168	4	-	-	NUM
iajs-1953	168	5	ω2	ω2	ADJ
iajs-1953	168	6	1	1	NUM
iajs-1953	168	7	~	~	PUNCT
iajs-1953	168	8	t	t	NOUN
iajs-1953	168	9	-space	-space	NOUN
iajs-1953	168	10	,	,	PUNCT
iajs-1953	168	11	soft	soft	ADJ
iajs-1953	168	12	(	(	PUNCT
iajs-1953	168	13	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	168	14	-	-	PUNCT
iajs-1953	168	15	ω2	ω2	ADJ
iajs-1953	168	16	1	1	NUM
iajs-1953	168	17	~	~	PUNCT
iajs-1953	168	18	t	t	NOUN
iajs-1953	168	19	-space	-space	NOUN
iajs-1953	168	20	,	,	PUNCT
iajs-1953	168	21	soft	soft	ADJ
iajs-1953	168	22	(	(	PUNCT
iajs-1953	168	23	1,2)*-b	1,2)*-b	NUM
iajs-1953	168	24	-	-	PUNCT
iajs-1953	168	25	ω2	ω2	ADJ
iajs-1953	168	26	1	1	NUM
iajs-1953	168	27	~	~	PUNCT
iajs-1953	168	28	t	t	NOUN
iajs-1953	168	29	-space	-space	NOUN
iajs-1953	168	30	,	,	PUNCT
iajs-1953	168	31	soft	soft	ADJ
iajs-1953	168	32	(	(	PUNCT
iajs-1953	168	33	1,2)*-β	1,2)*-β	NUM
iajs-1953	168	34	-	-	PUNCT
iajs-1953	168	35	ω2	ω2	ADJ
iajs-1953	168	36	1	1	NUM
iajs-1953	168	37	~	~	PUNCT
iajs-1953	168	38	t	t	NOUN
iajs-1953	168	39	-space	-space	NOUN
iajs-1953	168	40	)	)	PUNCT
iajs-1953	168	41	,	,	PUNCT
iajs-1953	168	42	but	but	CCONJ
iajs-1953	168	43	is	be	AUX
iajs-1953	168	44	not	not	PART
iajs-1953	168	45	soft	soft	ADJ
iajs-1953	168	46	(	(	PUNCT
iajs-1953	168	47	1,2)*2	1,2)*2	NUM
iajs-1953	168	48	1	1	NUM
iajs-1953	168	49	~	~	PUNCT
iajs-1953	168	50	t	t	NOUN
iajs-1953	168	51	space	space	NOUN
iajs-1953	168	52	.	.	PUNCT
iajs-1953	169	1	https://doi.org/10.30526/31.2.19523	https://doi.org/10.30526/31.2.19523	PROPN
iajs-1953	170	1	https://doi.org/10.30526/31.2.1953	https://doi.org/10.30526/31.2.1953	INTJ
iajs-1953	170	2	mathmatics	mathmatic	NOUN
iajs-1953	170	3	|	|	ADV
iajs-1953	170	4	143	143	NUM
iajs-1953	170	5	8201	8201	NUM
iajs-1953	170	6	(	(	PUNCT
iajs-1953	170	7	عام	عام	ADP
iajs-1953	170	8	2العدد	2العدد	NUM
iajs-1953	170	9	)	)	PUNCT
iajs-1953	170	10	13لمجلد	13لمجلد	NUM
iajs-1953	171	1	ا	ا	INTJ
iajs-1953	172	1	مجلة	مجلة	PROPN
iajs-1953	172	2	إبن	إبن	VERB
iajs-1953	172	3	الهيثم	الهيثم	ADJ
iajs-1953	172	4	للعلوم	للعلوم	NOUN
iajs-1953	172	5	الصرفة	الصرفة	NOUN
iajs-1953	173	1	و	و	PRON
iajs-1953	173	2	التطبيقية	التطبيقية	ADJ
iajs-1953	173	3	ibn	ibn	PROPN
iajs-1953	173	4	al	al	PROPN
iajs-1953	173	5	-	-	PUNCT
iajs-1953	173	6	haitham	haitham	PROPN
iajs-1953	173	7	jour	jour	X
iajs-1953	173	8	.	.	PROPN
iajs-1953	173	9	for	for	ADP
iajs-1953	173	10	pure	pure	ADJ
iajs-1953	173	11	&	&	CCONJ
iajs-1953	173	12	appl	appl	PROPN
iajs-1953	173	13	.	.	PUNCT
iajs-1953	174	1	sci	sci	PROPN
iajs-1953	174	2	.	.	PUNCT
iajs-1953	174	3	vol	vol	NOUN
iajs-1953	174	4	.	.	PROPN
iajs-1953	175	1	31	31	NUM
iajs-1953	175	2	(	(	PUNCT
iajs-1953	175	3	2	2	NUM
iajs-1953	175	4	)	)	SYM
iajs-1953	175	5	2018	2018	NUM
iajs-1953	175	6	proposition	proposition	NOUN
iajs-1953	175	7	(	(	PUNCT
iajs-1953	175	8	2.13	2.13	NUM
iajs-1953	175	9	):	):	PUNCT
iajs-1953	175	10	every	every	DET
iajs-1953	175	11	soft	soft	ADJ
iajs-1953	175	12	(	(	PUNCT
iajs-1953	175	13	1,2)*2	1,2)*2	NUM
iajs-1953	175	14	1	1	NUM
iajs-1953	175	15	~	~	PUNCT
iajs-1953	175	16	t	t	NOUN
iajs-1953	175	17	-space	-space	NOUN
iajs-1953	175	18	(	(	PUNCT
iajs-1953	175	19	resp	resp	NOUN
iajs-1953	175	20	.	.	PUNCT
iajs-1953	175	21	soft	soft	ADJ
iajs-1953	175	22	(	(	PUNCT
iajs-1953	175	23	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	175	24	1	1	NUM
iajs-1953	175	25	~	~	PUNCT
iajs-1953	175	26	t	t	NOUN
iajs-1953	175	27	-space	-space	NOUN
iajs-1953	175	28	,	,	PUNCT
iajs-1953	175	29	soft	soft	ADJ
iajs-1953	175	30	(	(	PUNCT
iajs-1953	175	31	1,2)*-αω2	1,2)*-αω2	NUM
iajs-1953	175	32	1	1	NUM
iajs-1953	175	33	~	~	PUNCT
iajs-1953	175	34	t	t	NOUN
iajs-1953	175	35	-space	-space	NOUN
iajs-1953	175	36	,	,	PUNCT
iajs-1953	175	37	soft	soft	ADJ
iajs-1953	175	38	(	(	PUNCT
iajs-1953	175	39	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	175	40	-	-	PUNCT
iajs-1953	175	41	ω2	ω2	ADJ
iajs-1953	175	42	1	1	NUM
iajs-1953	175	43	~	~	PUNCT
iajs-1953	175	44	t	t	NOUN
iajs-1953	175	45	-space	-space	NOUN
iajs-1953	175	46	,	,	PUNCT
iajs-1953	175	47	soft	soft	ADJ
iajs-1953	175	48	(	(	PUNCT
iajs-1953	175	49	1,2)*-b	1,2)*-b	NUM
iajs-1953	175	50	-	-	PUNCT
iajs-1953	175	51	ω2	ω2	ADJ
iajs-1953	175	52	1	1	NUM
iajs-1953	175	53	~	~	PUNCT
iajs-1953	175	54	t	t	NOUN
iajs-1953	175	55	-space	-space	NOUN
iajs-1953	175	56	,	,	PUNCT
iajs-1953	175	57	soft	soft	ADJ
iajs-1953	175	58	(	(	PUNCT
iajs-1953	175	59	1,2)*-β	1,2)*-β	NUM
iajs-1953	175	60	-	-	PUNCT
iajs-1953	175	61	ω2	ω2	ADJ
iajs-1953	175	62	1	1	NUM
iajs-1953	175	63	~	~	PUNCT
iajs-1953	175	64	t	t	NOUN
iajs-1953	175	65	space	space	NOUN
iajs-1953	175	66	)	)	PUNCT
iajs-1953	175	67	is	be	AUX
iajs-1953	175	68	a	a	DET
iajs-1953	175	69	soft	soft	ADJ
iajs-1953	175	70	(	(	PUNCT
iajs-1953	175	71	1,2)*0	1,2)*0	NUM
iajs-1953	175	72	~	~	PUNCT
iajs-1953	175	73	t	t	NOUN
iajs-1953	175	74	-space	-space	NOUN
iajs-1953	175	75	(	(	PUNCT
iajs-1953	175	76	resp	resp	NOUN
iajs-1953	175	77	.	.	PUNCT
iajs-1953	176	1	soft	soft	ADJ
iajs-1953	176	2	(	(	PUNCT
iajs-1953	176	3	1,2)*-ω0	1,2)*-ω0	NUM
iajs-1953	176	4	~	~	PUNCT
iajs-1953	176	5	t	t	NOUN
iajs-1953	176	6	-space	-space	NOUN
iajs-1953	176	7	,	,	PUNCT
iajs-1953	176	8	soft	soft	ADJ
iajs-1953	176	9	(	(	PUNCT
iajs-1953	176	10	1,2)*-α	1,2)*-α	NOUN
iajs-1953	176	11	-	-	PUNCT
iajs-1953	176	12	ω0	ω0	NOUN
iajs-1953	176	13	~	~	PUNCT
iajs-1953	176	14	t	t	NOUN
iajs-1953	176	15	-space	-space	NOUN
iajs-1953	176	16	,	,	PUNCT
iajs-1953	176	17	soft	soft	ADJ
iajs-1953	176	18	(	(	PUNCT
iajs-1953	176	19	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	176	20	-	-	PUNCT
iajs-1953	176	21	ω0	ω0	NOUN
iajs-1953	176	22	~	~	PUNCT
iajs-1953	176	23	t	t	NOUN
iajs-1953	176	24	-space	-space	NOUN
iajs-1953	176	25	,	,	PUNCT
iajs-1953	176	26	soft	soft	ADJ
iajs-1953	176	27	(	(	PUNCT
iajs-1953	176	28	1,2)*-b	1,2)*-b	NUM
iajs-1953	176	29	-	-	PUNCT
iajs-1953	176	30	ω0	ω0	NOUN
iajs-1953	176	31	~	~	PUNCT
iajs-1953	176	32	t	t	NOUN
iajs-1953	176	33	-space	-space	NOUN
iajs-1953	176	34	,	,	PUNCT
iajs-1953	176	35	soft	soft	ADJ
iajs-1953	176	36	(	(	PUNCT
iajs-1953	176	37	1,2)*-β	1,2)*-β	NOUN
iajs-1953	176	38	-	-	PUNCT
iajs-1953	176	39	ω0	ω0	NOUN
iajs-1953	176	40	~	~	PUNCT
iajs-1953	176	41	t	t	NOUN
iajs-1953	176	42	-space	-space	NOUN
iajs-1953	176	43	)	)	PUNCT
iajs-1953	176	44	.	.	PUNCT
iajs-1953	177	1	proof	proof	NOUN
iajs-1953	177	2	:	:	PUNCT
iajs-1953	177	3	let	let	VERB
iajs-1953	177	4	)	)	PUNCT
iajs-1953	177	5	,	,	PUNCT
iajs-1953	177	6	~,~	~,~	NUM
iajs-1953	177	7	,	,	PUNCT
iajs-1953	177	8	(	(	PUNCT
iajs-1953	177	9	21	21	NUM
iajs-1953	177	10	pu	pu	PROPN
iajs-1953	177	11	ττ	ττ	PROPN
iajs-1953	177	12	be	be	AUX
iajs-1953	177	13	a	a	DET
iajs-1953	177	14	soft	soft	ADJ
iajs-1953	177	15	(	(	PUNCT
iajs-1953	177	16	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	177	17	1	1	NUM
iajs-1953	177	18	~	~	PUNCT
iajs-1953	177	19	t	t	NOUN
iajs-1953	177	20	-space	-space	NOUN
iajs-1953	177	21	and	and	CCONJ
iajs-1953	177	22	let	let	VERB
iajs-1953	177	23	uyx	uyx	NOUN
iajs-1953	177	24	~~~,~	~~~,~	PUNCT
iajs-1953	177	25			NOUN
iajs-1953	177	26	such	such	ADJ
iajs-1953	177	27	that	that	DET
iajs-1953	177	28	yx	yx	PROPN
iajs-1953	177	29	~~	~~	PROPN
iajs-1953	177	30			NOUN
iajs-1953	177	31	.	.	PUNCT
iajs-1953	178	1	if	if	SCONJ
iajs-1953	178	2	}	}	PUNCT
iajs-1953	178	3	~{x	~{x	NOUN
iajs-1953	178	4	is	be	AUX
iajs-1953	178	5	soft	soft	ADJ
iajs-1953	178	6	(	(	PUNCT
iajs-1953	178	7	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	178	8	-	-	NOUN
iajs-1953	178	9	open	open	ADJ
iajs-1953	178	10	,	,	PUNCT
iajs-1953	178	11	then	then	ADV
iajs-1953	178	12	}	}	PUNCT
iajs-1953	178	13	~{x	~{x	PRON
iajs-1953	178	14	is	be	AUX
iajs-1953	178	15	a	a	DET
iajs-1953	178	16	soft	soft	ADJ
iajs-1953	178	17	(	(	PUNCT
iajs-1953	178	18	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	178	19	-	-	PUNCT
iajs-1953	178	20	open	open	ADJ
iajs-1953	178	21	set	set	NOUN
iajs-1953	178	22	containing	contain	VERB
iajs-1953	178	23	x~	x~	PROPN
iajs-1953	178	24	,	,	PUNCT
iajs-1953	178	25	but	but	CCONJ
iajs-1953	178	26	not	not	PART
iajs-1953	178	27	y~	y~	PROPN
iajs-1953	178	28	and	and	CCONJ
iajs-1953	178	29	if	if	SCONJ
iajs-1953	178	30	}	}	PUNCT
iajs-1953	178	31	~{x	~{x	NOUN
iajs-1953	178	32	is	be	AUX
iajs-1953	178	33	soft	soft	ADJ
iajs-1953	178	34	(	(	PUNCT
iajs-1953	178	35	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	178	36	-	-	PUNCT
iajs-1953	178	37	closed	closed	ADJ
iajs-1953	178	38	,	,	PUNCT
iajs-1953	178	39	then	then	ADV
iajs-1953	178	40	}	}	PUNCT
iajs-1953	178	41	~	~	PUNCT
iajs-1953	178	42	{	{	PUNCT
iajs-1953	178	43	~	~	PUNCT
iajs-1953	178	44	xu	xu	PRON
iajs-1953	178	45			NOUN
iajs-1953	178	46	is	be	AUX
iajs-1953	178	47	a	a	DET
iajs-1953	178	48	soft	soft	ADJ
iajs-1953	178	49	(	(	PUNCT
iajs-1953	178	50	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	178	51	-	-	PUNCT
iajs-1953	178	52	open	open	ADJ
iajs-1953	178	53	set	set	NOUN
iajs-1953	178	54	containing	contain	VERB
iajs-1953	178	55	y~	y~	PROPN
iajs-1953	178	56	,	,	PUNCT
iajs-1953	178	57	but	but	CCONJ
iajs-1953	178	58	not	not	PART
iajs-1953	178	59	x~	x~	PROPN
iajs-1953	178	60	.	.	PUNCT
iajs-1953	179	1	therefore	therefore	ADV
iajs-1953	179	2	)	)	PUNCT
iajs-1953	179	3	,	,	PUNCT
iajs-1953	179	4	~,~	~,~	NUM
iajs-1953	179	5	,	,	PUNCT
iajs-1953	179	6	(	(	PUNCT
iajs-1953	179	7	21	21	NUM
iajs-1953	179	8	pu	pu	PROPN
iajs-1953	179	9	ττ	ττ	PROPN
iajs-1953	179	10	is	be	AUX
iajs-1953	179	11	a	a	DET
iajs-1953	179	12	soft	soft	ADJ
iajs-1953	179	13	(	(	PUNCT
iajs-1953	179	14	1,2)*-ω0	1,2)*-ω0	NUM
iajs-1953	179	15	~	~	PUNCT
iajs-1953	179	16	t	t	NOUN
iajs-1953	179	17	-space	-space	NOUN
iajs-1953	179	18	.	.	PUNCT
iajs-1953	180	1	similarly	similarly	ADV
iajs-1953	180	2	,	,	PUNCT
iajs-1953	180	3	we	we	PRON
iajs-1953	180	4	can	can	AUX
iajs-1953	180	5	prove	prove	VERB
iajs-1953	180	6	that	that	SCONJ
iajs-1953	180	7	other	other	ADJ
iajs-1953	180	8	cases	case	NOUN
iajs-1953	180	9	.	.	PUNCT
iajs-1953	181	1	remark	remark	NOUN
iajs-1953	181	2	(	(	PUNCT
iajs-1953	181	3	2.14	2.14	NUM
iajs-1953	181	4	):	):	PUNCT
iajs-1953	181	5	the	the	DET
iajs-1953	181	6	soft	soft	ADJ
iajs-1953	181	7	(	(	PUNCT
iajs-1953	181	8	1,2)*0	1,2)*0	NUM
iajs-1953	181	9	~	~	PUNCT
iajs-1953	181	10	t	t	NOUN
iajs-1953	181	11	-space	-space	NOUN
iajs-1953	181	12	may	may	AUX
iajs-1953	181	13	not	not	PART
iajs-1953	181	14	be	be	AUX
iajs-1953	181	15	soft	soft	ADJ
iajs-1953	181	16	(	(	PUNCT
iajs-1953	181	17	1,2)*2	1,2)*2	NUM
iajs-1953	181	18	1	1	NUM
iajs-1953	181	19	~	~	PUNCT
iajs-1953	181	20	t	t	NOUN
iajs-1953	181	21	-space	-space	NOUN
iajs-1953	181	22	in	in	ADP
iajs-1953	181	23	general	general	ADJ
iajs-1953	181	24	we	we	PRON
iajs-1953	181	25	can	can	AUX
iajs-1953	181	26	see	see	VERB
iajs-1953	181	27	in	in	ADP
iajs-1953	181	28	the	the	DET
iajs-1953	181	29	following	follow	VERB
iajs-1953	181	30	example	example	NOUN
iajs-1953	181	31	:	:	PUNCT
iajs-1953	181	32	example	example	NOUN
iajs-1953	181	33	(	(	PUNCT
iajs-1953	181	34	2.15	2.15	NUM
iajs-1953	181	35	):	):	PUNCT
iajs-1953	181	36	let	let	VERB
iajs-1953	181	37	}	}	PUNCT
iajs-1953	181	38	,	,	PUNCT
iajs-1953	181	39	{	{	PUNCT
iajs-1953	181	40	bau	bau	PROPN
iajs-1953	181	41			PROPN
iajs-1953	181	42	and	and	CCONJ
iajs-1953	181	43	}	}	PUNCT
iajs-1953	181	44	,	,	PUNCT
iajs-1953	181	45	{	{	PUNCT
iajs-1953	181	46	21	21	NUM
iajs-1953	181	47	ppp	ppp	NOUN
iajs-1953	181	48			NOUN
iajs-1953	181	49	and	and	CCONJ
iajs-1953	181	50	let	let	VERB
iajs-1953	181	51	)	)	PUNCT
iajs-1953	181	52	}	}	PUNCT
iajs-1953	181	53	,	,	PUNCT
iajs-1953	181	54	(	(	PUNCT
iajs-1953	181	55	,	,	PUNCT
iajs-1953	181	56	~	~	PROPN
iajs-1953	181	57	,	,	PUNCT
iajs-1953	181	58	~	~	PUNCT
iajs-1953	181	59	{	{	PUNCT
iajs-1953	181	60	~	~	PUNCT
iajs-1953	181	61	11	11	NUM
iajs-1953	181	62	phu	phu	NOUN
iajs-1953	181	63	φτ	φτ	NOUN
iajs-1953	181	64			PROPN
iajs-1953	181	65	and	and	CCONJ
iajs-1953	181	66	,	,	PUNCT
iajs-1953	181	67	~	~	PROPN
iajs-1953	181	68	,	,	PUNCT
iajs-1953	181	69	~	~	PUNCT
iajs-1953	181	70	{	{	PUNCT
iajs-1953	181	71	~	~	SYM
iajs-1953	181	72	2	2	NUM
iajs-1953	181	73	φτ	φτ	NOUN
iajs-1953	181	74	u	u	NOUN
iajs-1953	181	75	)	)	PUNCT
iajs-1953	181	76	}	}	PUNCT
iajs-1953	181	77	,	,	PUNCT
iajs-1953	181	78	(	(	PUNCT
iajs-1953	181	79	2	2	NUM
iajs-1953	181	80	ph	ph	NOUN
iajs-1953	181	81	be	be	AUX
iajs-1953	181	82	soft	soft	ADJ
iajs-1953	181	83	topologies	topology	NOUN
iajs-1953	181	84	over	over	ADP
iajs-1953	181	85	u	u	NOUN
iajs-1953	181	86	,	,	PUNCT
iajs-1953	181	87	where	where	SCONJ
iajs-1953	181	88			NOUN
iajs-1953	181	89	)	)	PUNCT
iajs-1953	181	90	,	,	PUNCT
iajs-1953	181	91	(	(	PUNCT
iajs-1953	181	92	1	1	NUM
iajs-1953	181	93	ph	ph	NOUN
iajs-1953	181	94	}	}	PUNCT
iajs-1953	181	95	)	)	PUNCT
iajs-1953	181	96	}	}	PUNCT
iajs-1953	181	97	{	{	PUNCT
iajs-1953	181	98	,	,	PUNCT
iajs-1953	181	99	(	(	PUNCT
iajs-1953	181	100	}	}	PUNCT
iajs-1953	181	101	)	)	PUNCT
iajs-1953	181	102	,	,	PUNCT
iajs-1953	181	103	{	{	PUNCT
iajs-1953	181	104	,	,	PUNCT
iajs-1953	181	105	{	{	PUNCT
iajs-1953	181	106	(	(	PUNCT
iajs-1953	181	107	21	21	NUM
iajs-1953	181	108	bpap	bpap	NOUN
iajs-1953	181	109	,	,	PUNCT
iajs-1953	181	110			NUM
iajs-1953	181	111	)	)	PUNCT
iajs-1953	181	112	,	,	PUNCT
iajs-1953	181	113	(	(	PUNCT
iajs-1953	181	114	2	2	NUM
iajs-1953	181	115	ph	ph	NOUN
iajs-1953	181	116	}	}	PUNCT
iajs-1953	181	117	)	)	PUNCT
iajs-1953	181	118	}	}	PUNCT
iajs-1953	181	119	{	{	PUNCT
iajs-1953	181	120	,	,	PUNCT
iajs-1953	181	121	(	(	PUNCT
iajs-1953	181	122	}	}	PUNCT
iajs-1953	181	123	)	)	PUNCT
iajs-1953	181	124	,	,	PUNCT
iajs-1953	181	125	{	{	PUNCT
iajs-1953	181	126	,	,	PUNCT
iajs-1953	181	127	{	{	PUNCT
iajs-1953	181	128	(	(	PUNCT
iajs-1953	181	129	21	21	NUM
iajs-1953	181	130	bpbp	bpbp	NOUN
iajs-1953	181	131	and	and	CCONJ
iajs-1953	181	132			NUM
iajs-1953	181	133	)	)	PUNCT
iajs-1953	181	134	,	,	PUNCT
iajs-1953	181	135	(	(	PUNCT
iajs-1953	181	136	3	3	NUM
iajs-1953	181	137	ph	ph	NOUN
iajs-1953	181	138	}	}	PUNCT
iajs-1953	181	139	)	)	PUNCT
iajs-1953	181	140	}	}	PUNCT
iajs-1953	181	141	{	{	PUNCT
iajs-1953	181	142	,	,	PUNCT
iajs-1953	181	143	(	(	PUNCT
iajs-1953	181	144	}	}	PUNCT
iajs-1953	181	145	)	)	PUNCT
iajs-1953	181	146	,	,	PUNCT
iajs-1953	181	147	,	,	PUNCT
iajs-1953	181	148	{	{	PUNCT
iajs-1953	181	149	,	,	PUNCT
iajs-1953	181	150	{	{	PUNCT
iajs-1953	181	151	(	(	PUNCT
iajs-1953	181	152	21	21	NUM
iajs-1953	181	153	bpbap	bpbap	NOUN
iajs-1953	181	154	.	.	PUNCT
iajs-1953	182	1	the	the	DET
iajs-1953	182	2	soft	soft	ADJ
iajs-1953	182	3	sets	set	NOUN
iajs-1953	182	4	in	in	ADP
iajs-1953	182	5	)	)	PUNCT
iajs-1953	182	6	,	,	PUNCT
iajs-1953	182	7	,	,	PUNCT
iajs-1953	182	8	(	(	PUNCT
iajs-1953	182	9	,	,	PUNCT
iajs-1953	182	10	~	~	PROPN
iajs-1953	182	11	,	,	PUNCT
iajs-1953	182	12	~	~	PUNCT
iajs-1953	182	13	{	{	PUNCT
iajs-1953	182	14	1	1	NUM
iajs-1953	182	15	phu	phu	NOUN
iajs-1953	182	16	φ	φ	PROPN
iajs-1953	182	17	)	)	PUNCT
iajs-1953	182	18	}	}	PUNCT
iajs-1953	182	19	,	,	PUNCT
iajs-1953	182	20	(	(	PUNCT
iajs-1953	182	21	)	)	PUNCT
iajs-1953	182	22	,	,	PUNCT
iajs-1953	182	23	,	,	PUNCT
iajs-1953	182	24	(	(	PUNCT
iajs-1953	182	25	32	32	NUM
iajs-1953	182	26	phph	phph	NOUN
iajs-1953	182	27	are	be	AUX
iajs-1953	182	28	soft	soft	ADJ
iajs-1953	182	29	21	21	NUM
iajs-1953	182	30	~~	~~	NUM
iajs-1953	182	31	ττ	ττ	NOUN
iajs-1953	182	32	-open	-open	NOUN
iajs-1953	182	33	sets	set	NOUN
iajs-1953	182	34	.	.	PUNCT
iajs-1953	183	1	thus	thus	ADV
iajs-1953	183	2	)	)	PUNCT
iajs-1953	183	3	,	,	PUNCT
iajs-1953	183	4	~,~	~,~	NUM
iajs-1953	183	5	,	,	PUNCT
iajs-1953	183	6	(	(	PUNCT
iajs-1953	183	7	21	21	NUM
iajs-1953	183	8	pu	pu	PROPN
iajs-1953	183	9	ττ	ττ	PROPN
iajs-1953	183	10	is	be	AUX
iajs-1953	183	11	a	a	DET
iajs-1953	183	12	soft	soft	ADJ
iajs-1953	183	13	(	(	PUNCT
iajs-1953	183	14	1,2)*0	1,2)*0	NUM
iajs-1953	183	15	~	~	PUNCT
iajs-1953	183	16	t	t	NOUN
iajs-1953	183	17	-space	-space	NOUN
iajs-1953	183	18	,	,	PUNCT
iajs-1953	183	19	but	but	CCONJ
iajs-1953	183	20	is	be	AUX
iajs-1953	183	21	not	not	PART
iajs-1953	183	22	soft	soft	ADJ
iajs-1953	183	23	(	(	PUNCT
iajs-1953	183	24	1,2)*2	1,2)*2	NUM
iajs-1953	183	25	1	1	NUM
iajs-1953	183	26	~	~	PUNCT
iajs-1953	183	27	t	t	NOUN
iajs-1953	183	28	-space	-space	NOUN
iajs-1953	183	29	,	,	PUNCT
iajs-1953	183	30	since	since	SCONJ
iajs-1953	183	31	}	}	PUNCT
iajs-1953	183	32	~	~	PUNCT
iajs-1953	183	33	{	{	PUNCT
iajs-1953	183	34	}	}	PUNCT
iajs-1953	183	35	)	)	PUNCT
iajs-1953	183	36	}	}	PUNCT
iajs-1953	183	37	{	{	PUNCT
iajs-1953	183	38	,	,	PUNCT
iajs-1953	183	39	{	{	PUNCT
iajs-1953	183	40	(	(	PUNCT
iajs-1953	183	41	1	1	NUM
iajs-1953	183	42	xap	xap	NOUN
iajs-1953	183	43			PROPN
iajs-1953	183	44	is	be	AUX
iajs-1953	183	45	not	not	PART
iajs-1953	183	46	soft	soft	ADJ
iajs-1953	183	47	21	21	NUM
iajs-1953	183	48	~~	~~	NUM
iajs-1953	183	49	ττ	ττ	ADP
iajs-1953	183	50	-open	-open	ADJ
iajs-1953	183	51	and	and	CCONJ
iajs-1953	183	52	is	be	AUX
iajs-1953	183	53	not	not	PART
iajs-1953	183	54	soft	soft	ADJ
iajs-1953	183	55	21	21	NUM
iajs-1953	183	56	~~	~~	NUM
iajs-1953	183	57	ττ	ττ	PROPN
iajs-1953	183	58	closed	closed	ADJ
iajs-1953	183	59	.	.	PUNCT
iajs-1953	184	1	theorem	theorem	NOUN
iajs-1953	184	2	(	(	PUNCT
iajs-1953	184	3	2.16	2.16	NUM
iajs-1953	184	4	):	):	PUNCT
iajs-1953	184	5	every	every	DET
iajs-1953	184	6	soft	soft	ADJ
iajs-1953	184	7	bitopological	bitopological	ADJ
iajs-1953	184	8	space	space	NOUN
iajs-1953	184	9	is	be	AUX
iajs-1953	184	10	a	a	DET
iajs-1953	184	11	soft	soft	ADJ
iajs-1953	184	12	(	(	PUNCT
iajs-1953	184	13	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	184	14	1	1	NUM
iajs-1953	184	15	~	~	PUNCT
iajs-1953	184	16	t	t	NOUN
iajs-1953	184	17	-space	-space	NOUN
iajs-1953	184	18	(	(	PUNCT
iajs-1953	184	19	resp	resp	NOUN
iajs-1953	184	20	.	.	PUNCT
iajs-1953	185	1	soft	soft	ADJ
iajs-1953	185	2	(	(	PUNCT
iajs-1953	185	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	185	4	-	-	NUM
iajs-1953	185	5	ω2	ω2	ADJ
iajs-1953	185	6	1	1	NUM
iajs-1953	185	7	~	~	PUNCT
iajs-1953	185	8	t	t	NOUN
iajs-1953	185	9	-space	-space	NOUN
iajs-1953	185	10	,	,	PUNCT
iajs-1953	185	11	soft	soft	ADJ
iajs-1953	185	12	(	(	PUNCT
iajs-1953	185	13	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	185	14	-	-	PUNCT
iajs-1953	185	15	ω2	ω2	ADJ
iajs-1953	185	16	1	1	NUM
iajs-1953	185	17	~	~	PUNCT
iajs-1953	185	18	t	t	NOUN
iajs-1953	185	19	-space	-space	NOUN
iajs-1953	185	20	,	,	PUNCT
iajs-1953	185	21	soft	soft	ADJ
iajs-1953	185	22	(	(	PUNCT
iajs-1953	185	23	1,2)*-b	1,2)*-b	NUM
iajs-1953	185	24	-	-	PUNCT
iajs-1953	185	25	ω2	ω2	ADJ
iajs-1953	185	26	1	1	NUM
iajs-1953	185	27	~	~	PUNCT
iajs-1953	185	28	t	t	NOUN
iajs-1953	185	29	-space	-space	NOUN
iajs-1953	185	30	,	,	PUNCT
iajs-1953	185	31	soft	soft	ADJ
iajs-1953	185	32	(	(	PUNCT
iajs-1953	185	33	1,2)*-βω2	1,2)*-βω2	PROPN
iajs-1953	185	34	1	1	NUM
iajs-1953	185	35	~	~	PUNCT
iajs-1953	185	36	t	t	NOUN
iajs-1953	185	37	-space	-space	NOUN
iajs-1953	185	38	)	)	PUNCT
iajs-1953	185	39	.	.	PUNCT
iajs-1953	186	1	proof	proof	NOUN
iajs-1953	186	2	:	:	PUNCT
iajs-1953	186	3	let	let	VERB
iajs-1953	186	4	)	)	PUNCT
iajs-1953	186	5	,	,	PUNCT
iajs-1953	186	6	~,~	~,~	NUM
iajs-1953	186	7	,	,	PUNCT
iajs-1953	186	8	(	(	PUNCT
iajs-1953	186	9	21	21	NUM
iajs-1953	186	10	pu	pu	NOUN
iajs-1953	186	11	ττ	ττ	NOUN
iajs-1953	186	12	be	be	AUX
iajs-1953	186	13	any	any	DET
iajs-1953	186	14	soft	soft	ADJ
iajs-1953	186	15	bitopological	bitopological	ADJ
iajs-1953	186	16	space	space	NOUN
iajs-1953	186	17	and	and	CCONJ
iajs-1953	186	18	ux	ux	NOUN
iajs-1953	186	19	~~~	~~~	PUNCT
iajs-1953	186	20	.	.	PUNCT
iajs-1953	187	1	since	since	SCONJ
iajs-1953	187	2	}	}	PUNCT
iajs-1953	187	3	~	~	PUNCT
iajs-1953	187	4	{	{	PUNCT
iajs-1953	187	5	~	~	PUNCT
iajs-1953	187	6	xu	xu	PRON
iajs-1953	187	7			NOUN
iajs-1953	187	8	is	be	AUX
iajs-1953	187	9	a	a	DET
iajs-1953	187	10	soft	soft	ADJ
iajs-1953	187	11	(	(	PUNCT
iajs-1953	187	12	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	187	13	-	-	ADJ
iajs-1953	187	14	open	open	ADJ
iajs-1953	187	15	(	(	PUNCT
iajs-1953	187	16	resp	resp	NOUN
iajs-1953	187	17	.	.	PUNCT
iajs-1953	188	1	soft	soft	ADJ
iajs-1953	188	2	(	(	PUNCT
iajs-1953	188	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	188	4	-	-	PUNCT
iajs-1953	188	5	ω	ω	NOUN
iajs-1953	188	6	-	-	ADJ
iajs-1953	188	7	open	open	ADJ
iajs-1953	188	8	,	,	PUNCT
iajs-1953	188	9	soft	soft	ADJ
iajs-1953	188	10	(	(	PUNCT
iajs-1953	188	11	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	188	12	-	-	PUNCT
iajs-1953	188	13	ω	ω	VERB
iajs-1953	188	14	-	-	ADJ
iajs-1953	188	15	open	open	ADJ
iajs-1953	188	16	,	,	PUNCT
iajs-1953	188	17	soft	soft	ADJ
iajs-1953	188	18	(	(	PUNCT
iajs-1953	188	19	1,2)*-b	1,2)*-b	NUM
iajs-1953	188	20	-	-	PUNCT
iajs-1953	188	21	ω	ω	NOUN
iajs-1953	188	22	-	-	ADJ
iajs-1953	188	23	open	open	ADJ
iajs-1953	188	24	,	,	PUNCT
iajs-1953	188	25	soft	soft	ADJ
iajs-1953	188	26	(	(	PUNCT
iajs-1953	188	27	1,2)*-β	1,2)*-β	NUM
iajs-1953	188	28	-	-	PUNCT
iajs-1953	188	29	ω	ω	NOUN
iajs-1953	188	30	-	-	ADJ
iajs-1953	188	31	open	open	ADJ
iajs-1953	188	32	)	)	PUNCT
iajs-1953	188	33	subset	subset	NOUN
iajs-1953	188	34	of	of	ADP
iajs-1953	188	35	u	u	PROPN
iajs-1953	188	36	~	~	PUNCT
iajs-1953	188	37	,	,	PUNCT
iajs-1953	188	38	then	then	ADV
iajs-1953	188	39	}	}	PUNCT
iajs-1953	188	40	~{x	~{x	PRON
iajs-1953	188	41	is	be	AUX
iajs-1953	188	42	a	a	DET
iajs-1953	188	43	soft	soft	ADJ
iajs-1953	188	44	(	(	PUNCT
iajs-1953	188	45	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	188	46	-	-	PUNCT
iajs-1953	188	47	closed	closed	ADJ
iajs-1953	188	48	(	(	PUNCT
iajs-1953	188	49	resp	resp	NOUN
iajs-1953	188	50	.	.	PUNCT
iajs-1953	189	1	soft	soft	ADJ
iajs-1953	189	2	(	(	PUNCT
iajs-1953	189	3	1,2)*-α	1,2)*-α	ADV
iajs-1953	189	4	-	-	PUNCT
iajs-1953	189	5	ωclosed	ωclose	VERB
iajs-1953	189	6	,	,	PUNCT
iajs-1953	189	7	soft	soft	ADJ
iajs-1953	189	8	(	(	PUNCT
iajs-1953	189	9	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	189	10	-	-	PUNCT
iajs-1953	189	11	ω	ω	NOUN
iajs-1953	189	12	-	-	PUNCT
iajs-1953	189	13	closed	closed	ADJ
iajs-1953	189	14	,	,	PUNCT
iajs-1953	189	15	soft	soft	ADJ
iajs-1953	189	16	(	(	PUNCT
iajs-1953	189	17	1,2)*-b	1,2)*-b	NUM
iajs-1953	189	18	-	-	PUNCT
iajs-1953	189	19	ω	ω	NOUN
iajs-1953	189	20	-	-	PUNCT
iajs-1953	189	21	closed	closed	ADJ
iajs-1953	189	22	,	,	PUNCT
iajs-1953	189	23	soft	soft	ADJ
iajs-1953	189	24	(	(	PUNCT
iajs-1953	189	25	1,2)*-β	1,2)*-β	NUM
iajs-1953	189	26	-	-	PUNCT
iajs-1953	189	27	ω	ω	NOUN
iajs-1953	189	28	-	-	PUNCT
iajs-1953	189	29	closed	closed	ADJ
iajs-1953	189	30	)	)	PUNCT
iajs-1953	189	31	subset	subset	NOUN
iajs-1953	189	32	of	of	ADP
iajs-1953	189	33	u	u	PROPN
iajs-1953	189	34	~	~	PUNCT
iajs-1953	189	35	.	.	PUNCT
iajs-1953	190	1	therefore	therefore	ADV
iajs-1953	190	2	)	)	PUNCT
iajs-1953	190	3	,	,	PUNCT
iajs-1953	190	4	~,~	~,~	NUM
iajs-1953	190	5	,	,	PUNCT
iajs-1953	190	6	(	(	PUNCT
iajs-1953	190	7	21	21	NUM
iajs-1953	190	8	pu	pu	PROPN
iajs-1953	190	9	ττ	ττ	PROPN
iajs-1953	190	10	is	be	AUX
iajs-1953	190	11	a	a	DET
iajs-1953	190	12	soft	soft	ADJ
iajs-1953	190	13	(	(	PUNCT
iajs-1953	190	14	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	190	15	1	1	NUM
iajs-1953	190	16	~	~	PUNCT
iajs-1953	190	17	t	t	NOUN
iajs-1953	190	18	-space	-space	NOUN
iajs-1953	190	19	(	(	PUNCT
iajs-1953	190	20	resp	resp	NOUN
iajs-1953	190	21	.	.	PUNCT
iajs-1953	191	1	soft	soft	ADJ
iajs-1953	191	2	(	(	PUNCT
iajs-1953	191	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	191	4	-	-	NUM
iajs-1953	191	5	ω2	ω2	ADJ
iajs-1953	191	6	1	1	NUM
iajs-1953	191	7	~	~	PUNCT
iajs-1953	191	8	t	t	NOUN
iajs-1953	191	9	-space	-space	NOUN
iajs-1953	191	10	,	,	PUNCT
iajs-1953	191	11	soft	soft	ADJ
iajs-1953	191	12	(	(	PUNCT
iajs-1953	191	13	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	191	14	-	-	PUNCT
iajs-1953	191	15	ω2	ω2	ADJ
iajs-1953	191	16	1	1	NUM
iajs-1953	191	17	~	~	PUNCT
iajs-1953	191	18	t	t	NOUN
iajs-1953	191	19	-space	-space	NOUN
iajs-1953	191	20	,	,	PUNCT
iajs-1953	191	21	soft	soft	ADJ
iajs-1953	191	22	(	(	PUNCT
iajs-1953	191	23	1,2)*-b	1,2)*-b	NUM
iajs-1953	191	24	-	-	PUNCT
iajs-1953	191	25	ω2	ω2	ADJ
iajs-1953	191	26	1	1	NUM
iajs-1953	191	27	~	~	PUNCT
iajs-1953	191	28	t	t	NOUN
iajs-1953	191	29	-space	-space	NOUN
iajs-1953	191	30	,	,	PUNCT
iajs-1953	191	31	soft	soft	ADJ
iajs-1953	191	32	(	(	PUNCT
iajs-1953	191	33	1,2)*-β	1,2)*-β	NUM
iajs-1953	191	34	-	-	PUNCT
iajs-1953	191	35	ω2	ω2	ADJ
iajs-1953	191	36	1	1	NUM
iajs-1953	191	37	~	~	PUNCT
iajs-1953	191	38	t	t	NOUN
iajs-1953	191	39	-space	-space	NOUN
iajs-1953	191	40	)	)	PUNCT
iajs-1953	191	41	.	.	PUNCT
iajs-1953	192	1	corollary	corollary	ADJ
iajs-1953	192	2	(	(	PUNCT
iajs-1953	192	3	2.17	2.17	NUM
iajs-1953	192	4	):	):	PUNCT
iajs-1953	192	5	a	a	DET
iajs-1953	192	6	soft	soft	ADJ
iajs-1953	192	7	bitopological	bitopological	ADJ
iajs-1953	192	8	space	space	NOUN
iajs-1953	192	9	)	)	PUNCT
iajs-1953	192	10	,	,	PUNCT
iajs-1953	192	11	~,~	~,~	NUM
iajs-1953	192	12	,	,	PUNCT
iajs-1953	192	13	(	(	PUNCT
iajs-1953	192	14	21	21	NUM
iajs-1953	192	15	pu	pu	PROPN
iajs-1953	192	16	ττ	ττ	PROPN
iajs-1953	192	17	is	be	AUX
iajs-1953	192	18	a	a	DET
iajs-1953	192	19	soft	soft	ADJ
iajs-1953	192	20	(	(	PUNCT
iajs-1953	192	21	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	192	22	1	1	NUM
iajs-1953	192	23	~	~	PUNCT
iajs-1953	192	24	t	t	NOUN
iajs-1953	192	25	-space	-space	NOUN
iajs-1953	192	26	(	(	PUNCT
iajs-1953	192	27	resp	resp	NOUN
iajs-1953	192	28	.	.	PUNCT
iajs-1953	193	1	soft	soft	ADJ
iajs-1953	193	2	(	(	PUNCT
iajs-1953	193	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	193	4	-	-	NUM
iajs-1953	193	5	ω2	ω2	ADJ
iajs-1953	193	6	1	1	NUM
iajs-1953	193	7	~	~	PUNCT
iajs-1953	193	8	t	t	NOUN
iajs-1953	193	9	-space	-space	NOUN
iajs-1953	193	10	,	,	PUNCT
iajs-1953	193	11	soft	soft	ADJ
iajs-1953	193	12	(	(	PUNCT
iajs-1953	193	13	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	193	14	-	-	PUNCT
iajs-1953	193	15	ω2	ω2	ADJ
iajs-1953	193	16	1	1	NUM
iajs-1953	193	17	~	~	PUNCT
iajs-1953	193	18	t	t	NOUN
iajs-1953	193	19	-space	-space	NOUN
iajs-1953	193	20	,	,	PUNCT
iajs-1953	193	21	soft	soft	ADJ
iajs-1953	193	22	(	(	PUNCT
iajs-1953	193	23	1,2)*-b	1,2)*-b	NUM
iajs-1953	193	24	-	-	PUNCT
iajs-1953	193	25	ω2	ω2	ADJ
iajs-1953	193	26	1	1	NUM
iajs-1953	193	27	~	~	PUNCT
iajs-1953	193	28	t	t	NOUN
iajs-1953	193	29	-space	-space	NOUN
iajs-1953	193	30	,	,	PUNCT
iajs-1953	193	31	soft	soft	ADJ
iajs-1953	193	32	(	(	PUNCT
iajs-1953	193	33	1,2)*-β	1,2)*-β	NUM
iajs-1953	193	34	-	-	PUNCT
iajs-1953	193	35	ω2	ω2	ADJ
iajs-1953	193	36	1	1	NUM
iajs-1953	193	37	~	~	PUNCT
iajs-1953	193	38	t	t	NOUN
iajs-1953	193	39	-space	-space	NOUN
iajs-1953	193	40	)	)	PUNCT
iajs-1953	193	41	iff	iff	NOUN
iajs-1953	193	42	it	it	PRON
iajs-1953	193	43	is	be	AUX
iajs-1953	193	44	a	a	DET
iajs-1953	193	45	soft	soft	ADJ
iajs-1953	193	46	(	(	PUNCT
iajs-1953	193	47	1,2)*-ω0	1,2)*-ω0	NUM
iajs-1953	193	48	~	~	PUNCT
iajs-1953	193	49	t	t	NOUN
iajs-1953	193	50	-space	-space	NOUN
iajs-1953	193	51	(	(	PUNCT
iajs-1953	193	52	resp	resp	NOUN
iajs-1953	193	53	.	.	PUNCT
iajs-1953	194	1	soft	soft	ADJ
iajs-1953	194	2	(	(	PUNCT
iajs-1953	194	3	1,2)*-α	1,2)*-α	NOUN
iajs-1953	194	4	-	-	PUNCT
iajs-1953	194	5	ω0	ω0	NOUN
iajs-1953	194	6	~	~	PUNCT
iajs-1953	194	7	t	t	NOUN
iajs-1953	194	8	-space	-space	NOUN
iajs-1953	194	9	,	,	PUNCT
iajs-1953	194	10	soft	soft	ADJ
iajs-1953	194	11	(	(	PUNCT
iajs-1953	194	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	194	13	-	-	PUNCT
iajs-1953	194	14	ω0	ω0	NOUN
iajs-1953	194	15	~	~	PUNCT
iajs-1953	194	16	t	t	NOUN
iajs-1953	194	17	-space	-space	NOUN
iajs-1953	194	18	,	,	PUNCT
iajs-1953	194	19	soft	soft	ADJ
iajs-1953	194	20	(	(	PUNCT
iajs-1953	194	21	1,2)*-b	1,2)*-b	NUM
iajs-1953	194	22	-	-	PUNCT
iajs-1953	194	23	ω0	ω0	NOUN
iajs-1953	194	24	~	~	PUNCT
iajs-1953	194	25	t	t	NOUN
iajs-1953	194	26	-space	-space	NOUN
iajs-1953	194	27	,	,	PUNCT
iajs-1953	194	28	soft	soft	ADJ
iajs-1953	194	29	(	(	PUNCT
iajs-1953	194	30	1,2)*-β	1,2)*-β	NOUN
iajs-1953	194	31	-	-	PUNCT
iajs-1953	194	32	ω0	ω0	NOUN
iajs-1953	194	33	~	~	PUNCT
iajs-1953	194	34	t	t	NOUN
iajs-1953	194	35	-space	-space	NOUN
iajs-1953	194	36	)	)	PUNCT
iajs-1953	194	37	.	.	PUNCT
iajs-1953	195	1	proof	proof	NOUN
iajs-1953	195	2	:	:	PUNCT
iajs-1953	195	3	it	it	PRON
iajs-1953	195	4	follows	follow	VERB
iajs-1953	195	5	that	that	SCONJ
iajs-1953	195	6	from	from	ADP
iajs-1953	195	7	the	the	DET
iajs-1953	195	8	proposition	proposition	NOUN
iajs-1953	195	9	(	(	PUNCT
iajs-1953	195	10	2.13	2.13	NUM
iajs-1953	195	11	)	)	PUNCT
iajs-1953	195	12	and	and	CCONJ
iajs-1953	195	13	theorem	theorem	VERB
iajs-1953	195	14	(	(	PUNCT
iajs-1953	195	15	2.16	2.16	NUM
iajs-1953	195	16	)	)	PUNCT
iajs-1953	195	17	.	.	PUNCT
iajs-1953	196	1	corollary	corollary	ADJ
iajs-1953	196	2	(	(	PUNCT
iajs-1953	196	3	2.18	2.18	NUM
iajs-1953	196	4	):	):	PUNCT
iajs-1953	196	5	every	every	DET
iajs-1953	196	6	soft	soft	ADJ
iajs-1953	196	7	subspace	subspace	NOUN
iajs-1953	196	8	of	of	ADP
iajs-1953	196	9	a	a	DET
iajs-1953	196	10	soft	soft	ADJ
iajs-1953	196	11	(	(	PUNCT
iajs-1953	196	12	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	196	13	1	1	NUM
iajs-1953	196	14	~	~	PUNCT
iajs-1953	196	15	t	t	NOUN
iajs-1953	196	16	-space	-space	NOUN
iajs-1953	196	17	(	(	PUNCT
iajs-1953	196	18	resp	resp	NOUN
iajs-1953	196	19	.	.	PUNCT
iajs-1953	197	1	soft	soft	ADJ
iajs-1953	197	2	(	(	PUNCT
iajs-1953	197	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	197	4	-	-	NUM
iajs-1953	197	5	ω2	ω2	ADJ
iajs-1953	197	6	1	1	NUM
iajs-1953	197	7	~	~	PUNCT
iajs-1953	197	8	t	t	NOUN
iajs-1953	197	9	-space	-space	NOUN
iajs-1953	197	10	,	,	PUNCT
iajs-1953	197	11	soft	soft	ADJ
iajs-1953	197	12	(	(	PUNCT
iajs-1953	197	13	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	197	14	-	-	PUNCT
iajs-1953	197	15	ω2	ω2	ADJ
iajs-1953	197	16	1	1	NUM
iajs-1953	197	17	~	~	PUNCT
iajs-1953	197	18	t	t	NOUN
iajs-1953	197	19	-space	-space	NOUN
iajs-1953	197	20	,	,	PUNCT
iajs-1953	197	21	soft	soft	ADJ
iajs-1953	197	22	(	(	PUNCT
iajs-1953	197	23	1,2)*-b	1,2)*-b	NUM
iajs-1953	197	24	-	-	PUNCT
iajs-1953	197	25	ω2	ω2	ADJ
iajs-1953	197	26	1	1	NUM
iajs-1953	197	27	~	~	PUNCT
iajs-1953	197	28	t	t	NOUN
iajs-1953	197	29	-space	-space	NOUN
iajs-1953	197	30	,	,	PUNCT
iajs-1953	197	31	soft	soft	ADJ
iajs-1953	197	32	(	(	PUNCT
iajs-1953	197	33	1,2)*-β	1,2)*-β	NUM
iajs-1953	197	34	-	-	PUNCT
iajs-1953	197	35	ω2	ω2	ADJ
iajs-1953	197	36	1	1	NUM
iajs-1953	197	37	~	~	PUNCT
iajs-1953	197	38	t	t	NOUN
iajs-1953	197	39	space	space	NOUN
iajs-1953	197	40	)	)	PUNCT
iajs-1953	197	41	is	be	AUX
iajs-1953	197	42	a	a	DET
iajs-1953	197	43	soft	soft	ADJ
iajs-1953	197	44	(	(	PUNCT
iajs-1953	197	45	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	197	46	1	1	NUM
iajs-1953	197	47	~	~	PUNCT
iajs-1953	197	48	t	t	NOUN
iajs-1953	197	49	-space	-space	NOUN
iajs-1953	197	50	(	(	PUNCT
iajs-1953	197	51	resp	resp	NOUN
iajs-1953	197	52	.	.	PUNCT
iajs-1953	198	1	soft	soft	ADJ
iajs-1953	198	2	(	(	PUNCT
iajs-1953	198	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	198	4	-	-	NUM
iajs-1953	198	5	ω2	ω2	ADJ
iajs-1953	198	6	1	1	NUM
iajs-1953	198	7	~	~	PUNCT
iajs-1953	198	8	t	t	NOUN
iajs-1953	198	9	-space	-space	NOUN
iajs-1953	198	10	,	,	PUNCT
iajs-1953	198	11	soft	soft	ADJ
iajs-1953	198	12	(	(	PUNCT
iajs-1953	198	13	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	198	14	-	-	PUNCT
iajs-1953	198	15	ω2	ω2	ADJ
iajs-1953	198	16	1	1	NUM
iajs-1953	198	17	~	~	PUNCT
iajs-1953	198	18	t	t	NOUN
iajs-1953	198	19	space	space	NOUN
iajs-1953	198	20	,	,	PUNCT
iajs-1953	198	21	soft	soft	ADJ
iajs-1953	198	22	(	(	PUNCT
iajs-1953	198	23	1,2)*-b	1,2)*-b	NUM
iajs-1953	198	24	-	-	PUNCT
iajs-1953	198	25	ω2	ω2	ADJ
iajs-1953	198	26	1	1	NUM
iajs-1953	198	27	~	~	PUNCT
iajs-1953	198	28	t	t	NOUN
iajs-1953	198	29	-space	-space	NOUN
iajs-1953	198	30	,	,	PUNCT
iajs-1953	198	31	soft	soft	ADJ
iajs-1953	198	32	(	(	PUNCT
iajs-1953	198	33	1,2)*-β	1,2)*-β	NUM
iajs-1953	198	34	-	-	PUNCT
iajs-1953	198	35	ω2	ω2	ADJ
iajs-1953	198	36	1	1	NUM
iajs-1953	198	37	~	~	PUNCT
iajs-1953	198	38	t	t	NOUN
iajs-1953	198	39	-space	-space	NOUN
iajs-1953	198	40	)	)	PUNCT
iajs-1953	198	41	.	.	PUNCT
iajs-1953	199	1	proof	proof	NOUN
iajs-1953	199	2	:	:	PUNCT
iajs-1953	199	3	it	it	PRON
iajs-1953	199	4	follows	follow	VERB
iajs-1953	199	5	that	that	SCONJ
iajs-1953	199	6	from	from	ADP
iajs-1953	199	7	the	the	DET
iajs-1953	199	8	theorem	theorem	NOUN
iajs-1953	199	9	(	(	PUNCT
iajs-1953	199	10	2.16	2.16	NUM
iajs-1953	199	11	)	)	PUNCT
iajs-1953	199	12	.	.	PUNCT
iajs-1953	200	1	https://doi.org/10.30526/31.2.19523	https://doi.org/10.30526/31.2.19523	PROPN
iajs-1953	201	1	https://doi.org/10.30526/31.2.1953	https://doi.org/10.30526/31.2.1953	PROPN
iajs-1953	201	2	mathmatics	mathmatics	PROPN
iajs-1953	201	3	|	|	ADV
iajs-1953	201	4	144	144	NUM
iajs-1953	201	5	8201	8201	NUM
iajs-1953	201	6	(	(	PUNCT
iajs-1953	201	7	عام	عام	ADP
iajs-1953	201	8	2العدد	2العدد	NUM
iajs-1953	201	9	)	)	PUNCT
iajs-1953	201	10	13لمجلد	13لمجلد	NUM
iajs-1953	202	1	ا	ا	INTJ
iajs-1953	203	1	مجلة	مجلة	PROPN
iajs-1953	203	2	إبن	إبن	VERB
iajs-1953	203	3	الهيثم	الهيثم	ADJ
iajs-1953	203	4	للعلوم	للعلوم	NOUN
iajs-1953	203	5	الصرفة	الصرفة	NOUN
iajs-1953	204	1	و	و	PRON
iajs-1953	204	2	التطبيقية	التطبيقية	ADJ
iajs-1953	204	3	ibn	ibn	PROPN
iajs-1953	204	4	al	al	PROPN
iajs-1953	204	5	-	-	PUNCT
iajs-1953	204	6	haitham	haitham	PROPN
iajs-1953	204	7	jour	jour	X
iajs-1953	204	8	.	.	PROPN
iajs-1953	204	9	for	for	ADP
iajs-1953	204	10	pure	pure	ADJ
iajs-1953	204	11	&	&	CCONJ
iajs-1953	204	12	appl	appl	PROPN
iajs-1953	204	13	.	.	PUNCT
iajs-1953	205	1	sci	sci	PROPN
iajs-1953	205	2	.	.	PUNCT
iajs-1953	205	3	vol	vol	NOUN
iajs-1953	205	4	.	.	PROPN
iajs-1953	206	1	31	31	NUM
iajs-1953	206	2	(	(	PUNCT
iajs-1953	206	3	2	2	NUM
iajs-1953	206	4	)	)	SYM
iajs-1953	206	5	2018	2018	NUM
iajs-1953	206	6	proposition	proposition	NOUN
iajs-1953	206	7	(	(	PUNCT
iajs-1953	206	8	2.19	2.19	NUM
iajs-1953	206	9	):	):	PUNCT
iajs-1953	206	10	if	if	SCONJ
iajs-1953	206	11	)	)	PUNCT
iajs-1953	206	12	,	,	PUNCT
iajs-1953	206	13	~	~	PUNCT
iajs-1953	206	14	,	,	PUNCT
iajs-1953	206	15	(	(	PUNCT
iajs-1953	206	16	1	1	NUM
iajs-1953	206	17	pu	pu	PROPN
iajs-1953	206	18	τ	τ	PROPN
iajs-1953	206	19	or	or	CCONJ
iajs-1953	206	20	)	)	PUNCT
iajs-1953	206	21	,	,	PUNCT
iajs-1953	206	22	~	~	PUNCT
iajs-1953	206	23	,	,	PUNCT
iajs-1953	206	24	(	(	PUNCT
iajs-1953	206	25	2	2	NUM
iajs-1953	206	26	pu	pu	PROPN
iajs-1953	206	27	τ	τ	PROPN
iajs-1953	206	28	is	be	AUX
iajs-1953	206	29	a	a	DET
iajs-1953	206	30	soft	soft	ADJ
iajs-1953	206	31	2	2	NUM
iajs-1953	206	32	1	1	NUM
iajs-1953	206	33	~	~	PUNCT
iajs-1953	206	34	t	t	NOUN
iajs-1953	206	35	-space	-space	NOUN
iajs-1953	206	36	,	,	PUNCT
iajs-1953	206	37	then	then	ADV
iajs-1953	206	38	)	)	PUNCT
iajs-1953	206	39	,	,	PUNCT
iajs-1953	206	40	~,~	~,~	NUM
iajs-1953	206	41	,	,	PUNCT
iajs-1953	206	42	(	(	PUNCT
iajs-1953	206	43	21	21	NUM
iajs-1953	206	44	pu	pu	PROPN
iajs-1953	206	45	ττ	ττ	PROPN
iajs-1953	206	46	is	be	AUX
iajs-1953	206	47	a	a	DET
iajs-1953	206	48	soft	soft	ADJ
iajs-1953	206	49	(	(	PUNCT
iajs-1953	206	50	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	206	51	1	1	NUM
iajs-1953	206	52	~	~	PUNCT
iajs-1953	206	53	t	t	NOUN
iajs-1953	206	54	-space	-space	NOUN
iajs-1953	206	55	(	(	PUNCT
iajs-1953	206	56	resp	resp	NOUN
iajs-1953	206	57	.	.	PUNCT
iajs-1953	207	1	soft	soft	ADJ
iajs-1953	207	2	(	(	PUNCT
iajs-1953	207	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	207	4	-	-	NUM
iajs-1953	207	5	ω2	ω2	ADJ
iajs-1953	207	6	1	1	NUM
iajs-1953	207	7	~	~	PUNCT
iajs-1953	207	8	t	t	NOUN
iajs-1953	207	9	-space	-space	NOUN
iajs-1953	207	10	,	,	PUNCT
iajs-1953	207	11	soft	soft	ADJ
iajs-1953	207	12	(	(	PUNCT
iajs-1953	207	13	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	207	14	-	-	PUNCT
iajs-1953	207	15	ω2	ω2	ADJ
iajs-1953	207	16	1	1	NUM
iajs-1953	207	17	~	~	PUNCT
iajs-1953	207	18	t	t	NOUN
iajs-1953	207	19	-space	-space	NOUN
iajs-1953	207	20	,	,	PUNCT
iajs-1953	207	21	soft	soft	ADJ
iajs-1953	207	22	(	(	PUNCT
iajs-1953	207	23	1,2)*-b	1,2)*-b	NUM
iajs-1953	207	24	-	-	PUNCT
iajs-1953	207	25	ω2	ω2	ADJ
iajs-1953	207	26	1	1	NUM
iajs-1953	207	27	~	~	PUNCT
iajs-1953	207	28	t	t	NOUN
iajs-1953	207	29	-space	-space	NOUN
iajs-1953	207	30	,	,	PUNCT
iajs-1953	207	31	soft	soft	ADJ
iajs-1953	207	32	(	(	PUNCT
iajs-1953	207	33	1,2)*-β	1,2)*-β	NUM
iajs-1953	207	34	-	-	PUNCT
iajs-1953	207	35	ω2	ω2	ADJ
iajs-1953	207	36	1	1	NUM
iajs-1953	207	37	~	~	PUNCT
iajs-1953	207	38	t	t	NOUN
iajs-1953	207	39	-space	-space	NOUN
iajs-1953	207	40	)	)	PUNCT
iajs-1953	207	41	.	.	PUNCT
iajs-1953	208	1	proof	proof	NOUN
iajs-1953	208	2	:	:	PUNCT
iajs-1953	208	3	it	it	PRON
iajs-1953	208	4	follows	follow	VERB
iajs-1953	208	5	from	from	ADP
iajs-1953	208	6	the	the	DET
iajs-1953	208	7	fact	fact	NOUN
iajs-1953	208	8	~~	~~	X
iajs-1953	208	9	iτ	iτ	NOUN
iajs-1953	208	10	soft	soft	ADJ
iajs-1953	208	11	21	21	NUM
iajs-1953	208	12	~~	~~	NUM
iajs-1953	208	13	ττ	ττ	NOUN
iajs-1953	208	14	-open	-open	PROPN
iajs-1953	208	15	sets	set	NOUN
iajs-1953	208	16	inu	inu	NOUN
iajs-1953	208	17	~	~	PUNCT
iajs-1953	208	18	,	,	PUNCT
iajs-1953	208	19	2,1i	2,1i	NUM
iajs-1953	208	20	and	and	CCONJ
iajs-1953	208	21	proposition	proposition	NOUN
iajs-1953	208	22	(	(	PUNCT
iajs-1953	208	23	2.11	2.11	NUM
iajs-1953	208	24	)	)	PUNCT
iajs-1953	208	25	.	.	PUNCT
iajs-1953	209	1	remark	remark	NOUN
iajs-1953	209	2	(	(	PUNCT
iajs-1953	209	3	2.20	2.20	NUM
iajs-1953	209	4	):	):	PUNCT
iajs-1953	209	5	the	the	DET
iajs-1953	209	6	converse	converse	NOUN
iajs-1953	209	7	of	of	ADP
iajs-1953	209	8	proposition	proposition	NOUN
iajs-1953	209	9	(	(	PUNCT
iajs-1953	209	10	2.19	2.19	NUM
iajs-1953	209	11	)	)	PUNCT
iajs-1953	209	12	is	be	AUX
iajs-1953	209	13	not	not	PART
iajs-1953	209	14	true	true	ADJ
iajs-1953	209	15	in	in	ADP
iajs-1953	209	16	general	general	ADJ
iajs-1953	209	17	in	in	ADP
iajs-1953	209	18	example	example	NOUN
iajs-1953	209	19	(	(	PUNCT
iajs-1953	209	20	2.4	2.4	NUM
iajs-1953	209	21	)	)	PUNCT
iajs-1953	209	22	)	)	PUNCT
iajs-1953	209	23	,	,	PUNCT
iajs-1953	209	24	~,~	~,~	X
iajs-1953	209	25	,	,	PUNCT
iajs-1953	209	26	(	(	PUNCT
iajs-1953	209	27	21	21	NUM
iajs-1953	209	28	pu	pu	PROPN
iajs-1953	209	29	ττ	ττ	PROPN
iajs-1953	209	30	is	be	AUX
iajs-1953	209	31	a	a	DET
iajs-1953	209	32	soft	soft	ADJ
iajs-1953	209	33	(	(	PUNCT
iajs-1953	209	34	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	209	35	1	1	NUM
iajs-1953	209	36	~	~	PUNCT
iajs-1953	209	37	t	t	NOUN
iajs-1953	209	38	-space	-space	NOUN
iajs-1953	209	39	(	(	PUNCT
iajs-1953	209	40	resp	resp	NOUN
iajs-1953	209	41	.	.	PUNCT
iajs-1953	210	1	soft	soft	ADJ
iajs-1953	210	2	(	(	PUNCT
iajs-1953	210	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	210	4	-	-	NUM
iajs-1953	210	5	ω2	ω2	ADJ
iajs-1953	210	6	1	1	NUM
iajs-1953	210	7	~	~	PUNCT
iajs-1953	210	8	t	t	NOUN
iajs-1953	210	9	-space	-space	NOUN
iajs-1953	210	10	,	,	PUNCT
iajs-1953	210	11	soft	soft	ADJ
iajs-1953	210	12	(	(	PUNCT
iajs-1953	210	13	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	210	14	-	-	PUNCT
iajs-1953	210	15	ω2	ω2	ADJ
iajs-1953	210	16	1	1	NUM
iajs-1953	210	17	~	~	PUNCT
iajs-1953	210	18	t	t	NOUN
iajs-1953	210	19	-space	-space	NOUN
iajs-1953	210	20	,	,	PUNCT
iajs-1953	210	21	soft	soft	ADJ
iajs-1953	210	22	(	(	PUNCT
iajs-1953	210	23	1,2)*-b	1,2)*-b	NUM
iajs-1953	210	24	-	-	PUNCT
iajs-1953	210	25	ω2	ω2	ADJ
iajs-1953	210	26	1	1	NUM
iajs-1953	210	27	~	~	PUNCT
iajs-1953	210	28	t	t	NOUN
iajs-1953	210	29	-space	-space	NOUN
iajs-1953	210	30	,	,	PUNCT
iajs-1953	210	31	soft	soft	ADJ
iajs-1953	210	32	(	(	PUNCT
iajs-1953	210	33	1,2)*-β	1,2)*-β	NUM
iajs-1953	210	34	-	-	PUNCT
iajs-1953	210	35	ω2	ω2	ADJ
iajs-1953	210	36	1	1	NUM
iajs-1953	210	37	~	~	PUNCT
iajs-1953	210	38	t	t	NOUN
iajs-1953	210	39	-space	-space	NOUN
iajs-1953	210	40	)	)	PUNCT
iajs-1953	210	41	,	,	PUNCT
iajs-1953	210	42	but	but	CCONJ
iajs-1953	210	43	both	both	PRON
iajs-1953	210	44	)	)	PUNCT
iajs-1953	210	45	,	,	PUNCT
iajs-1953	210	46	~	~	PUNCT
iajs-1953	210	47	,	,	PUNCT
iajs-1953	210	48	(	(	PUNCT
iajs-1953	210	49	1	1	NUM
iajs-1953	210	50	pu	pu	PROPN
iajs-1953	210	51	τ	τ	PROPN
iajs-1953	210	52	and	and	CCONJ
iajs-1953	210	53	)	)	PUNCT
iajs-1953	210	54	,	,	PUNCT
iajs-1953	210	55	~	~	PUNCT
iajs-1953	210	56	,	,	PUNCT
iajs-1953	210	57	(	(	PUNCT
iajs-1953	210	58	2	2	NUM
iajs-1953	210	59	pu	pu	PROPN
iajs-1953	210	60	τ	τ	PROPN
iajs-1953	210	61	are	be	AUX
iajs-1953	210	62	not	not	PART
iajs-1953	210	63	soft	soft	ADJ
iajs-1953	210	64	(	(	PUNCT
iajs-1953	210	65	1,2)*2	1,2)*2	NUM
iajs-1953	210	66	1	1	NUM
iajs-1953	210	67	~	~	PUNCT
iajs-1953	210	68	t	t	NOUN
iajs-1953	210	69	-space	-space	NOUN
iajs-1953	210	70	.	.	PUNCT
iajs-1953	211	1	definition	definition	NOUN
iajs-1953	211	2	(	(	PUNCT
iajs-1953	211	3	2.21	2.21	NUM
iajs-1953	211	4	):	):	PUNCT
iajs-1953	211	5	a	a	DET
iajs-1953	211	6	soft	soft	ADJ
iajs-1953	211	7	bitopological	bitopological	ADJ
iajs-1953	211	8	space	space	NOUN
iajs-1953	211	9	)	)	PUNCT
iajs-1953	211	10	,	,	PUNCT
iajs-1953	211	11	~,~	~,~	NUM
iajs-1953	211	12	,	,	PUNCT
iajs-1953	211	13	(	(	PUNCT
iajs-1953	211	14	21	21	NUM
iajs-1953	211	15	pu	pu	PROPN
iajs-1953	211	16	ττ	ττ	PROPN
iajs-1953	211	17	is	be	AUX
iajs-1953	211	18	called	call	VERB
iajs-1953	211	19	a	a	DET
iajs-1953	211	20	soft	soft	ADJ
iajs-1953	211	21	(	(	PUNCT
iajs-1953	211	22	1,2)*-ω1	1,2)*-ω1	NUM
iajs-1953	211	23	~	~	PUNCT
iajs-1953	211	24	t	t	PROPN
iajs-1953	211	25	-space	-space	NOUN
iajs-1953	211	26	(	(	PUNCT
iajs-1953	211	27	resp	resp	NOUN
iajs-1953	211	28	.	.	PUNCT
iajs-1953	212	1	soft	soft	ADJ
iajs-1953	212	2	(	(	PUNCT
iajs-1953	212	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	212	4	-	-	PUNCT
iajs-1953	212	5	ω1	ω1	NOUN
iajs-1953	212	6	~	~	PUNCT
iajs-1953	212	7	t	t	NOUN
iajs-1953	212	8	-space	-space	NOUN
iajs-1953	212	9	,	,	PUNCT
iajs-1953	212	10	soft	soft	ADJ
iajs-1953	212	11	(	(	PUNCT
iajs-1953	212	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	212	13	-	-	PUNCT
iajs-1953	212	14	ω1	ω1	PROPN
iajs-1953	212	15	~	~	PUNCT
iajs-1953	212	16	t	t	NOUN
iajs-1953	212	17	-space	-space	NOUN
iajs-1953	212	18	,	,	PUNCT
iajs-1953	212	19	soft	soft	ADJ
iajs-1953	212	20	(	(	PUNCT
iajs-1953	212	21	1,2)*-b	1,2)*-b	NUM
iajs-1953	212	22	-	-	PUNCT
iajs-1953	212	23	ω1	ω1	PROPN
iajs-1953	212	24	~	~	PUNCT
iajs-1953	212	25	t	t	NOUN
iajs-1953	212	26	-space	-space	NOUN
iajs-1953	212	27	,	,	PUNCT
iajs-1953	212	28	soft	soft	ADJ
iajs-1953	212	29	(	(	PUNCT
iajs-1953	212	30	1,2)*-β	1,2)*-β	NUM
iajs-1953	212	31	-	-	PUNCT
iajs-1953	212	32	ω1	ω1	NOUN
iajs-1953	212	33	~	~	PUNCT
iajs-1953	212	34	t	t	NOUN
iajs-1953	212	35	-space	-space	NOUN
iajs-1953	212	36	)	)	PUNCT
iajs-1953	212	37	if	if	SCONJ
iajs-1953	212	38	for	for	ADP
iajs-1953	212	39	any	any	DET
iajs-1953	212	40	two	two	NUM
iajs-1953	212	41	distinct	distinct	ADJ
iajs-1953	212	42	soft	soft	ADJ
iajs-1953	212	43	points	point	NOUN
iajs-1953	212	44	x~	x~	PRON
iajs-1953	212	45	and	and	CCONJ
iajs-1953	212	46	y~	y~	PROPN
iajs-1953	212	47	of	of	ADP
iajs-1953	212	48	u	u	PROPN
iajs-1953	212	49	~	~	PUNCT
iajs-1953	212	50	,	,	PUNCT
iajs-1953	212	51	there	there	PRON
iajs-1953	212	52	exists	exist	VERB
iajs-1953	212	53	a	a	DET
iajs-1953	212	54	soft	soft	ADJ
iajs-1953	212	55	(	(	PUNCT
iajs-1953	212	56	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	212	57	-	-	ADJ
iajs-1953	212	58	open	open	ADJ
iajs-1953	212	59	(	(	PUNCT
iajs-1953	212	60	resp	resp	NOUN
iajs-1953	212	61	.	.	PUNCT
iajs-1953	213	1	soft	soft	ADJ
iajs-1953	213	2	(	(	PUNCT
iajs-1953	213	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	213	4	-	-	PUNCT
iajs-1953	213	5	ω	ω	NOUN
iajs-1953	213	6	-	-	ADJ
iajs-1953	213	7	open	open	ADJ
iajs-1953	213	8	,	,	PUNCT
iajs-1953	213	9	soft	soft	ADJ
iajs-1953	213	10	(	(	PUNCT
iajs-1953	213	11	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	213	12	-	-	PUNCT
iajs-1953	213	13	ω	ω	VERB
iajs-1953	213	14	-	-	ADJ
iajs-1953	213	15	open	open	ADJ
iajs-1953	213	16	,	,	PUNCT
iajs-1953	213	17	soft	soft	ADJ
iajs-1953	213	18	(	(	PUNCT
iajs-1953	213	19	1,2)*-b	1,2)*-b	NUM
iajs-1953	213	20	-	-	PUNCT
iajs-1953	213	21	ω	ω	NOUN
iajs-1953	213	22	-	-	ADJ
iajs-1953	213	23	open	open	ADJ
iajs-1953	213	24	,	,	PUNCT
iajs-1953	213	25	soft	soft	ADJ
iajs-1953	213	26	(	(	PUNCT
iajs-1953	213	27	1,2)*-β	1,2)*-β	NUM
iajs-1953	213	28	-	-	PUNCT
iajs-1953	213	29	ω	ω	NOUN
iajs-1953	213	30	-	-	ADJ
iajs-1953	213	31	open	open	ADJ
iajs-1953	213	32	)	)	PUNCT
iajs-1953	213	33	set	set	VERB
iajs-1953	213	34	in	in	ADP
iajs-1953	213	35	u	u	NOUN
iajs-1953	213	36	~	~	PUNCT
iajs-1953	213	37	containing	contain	VERB
iajs-1953	213	38	x~	x~	PROPN
iajs-1953	213	39	but	but	CCONJ
iajs-1953	213	40	not	not	PART
iajs-1953	213	41	y~	y~	PROPN
iajs-1953	213	42	and	and	CCONJ
iajs-1953	213	43	a	a	DET
iajs-1953	213	44	soft	soft	ADJ
iajs-1953	213	45	(	(	PUNCT
iajs-1953	213	46	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	213	47	-	-	ADJ
iajs-1953	213	48	open	open	ADJ
iajs-1953	213	49	(	(	PUNCT
iajs-1953	213	50	resp	resp	NOUN
iajs-1953	213	51	.	.	PUNCT
iajs-1953	214	1	soft	soft	ADJ
iajs-1953	214	2	(	(	PUNCT
iajs-1953	214	3	1,2)*α	1,2)*α	NUM
iajs-1953	214	4	-	-	PUNCT
iajs-1953	214	5	ω	ω	NOUN
iajs-1953	214	6	-	-	ADJ
iajs-1953	214	7	open	open	ADJ
iajs-1953	214	8	,	,	PUNCT
iajs-1953	214	9	soft	soft	ADJ
iajs-1953	214	10	(	(	PUNCT
iajs-1953	214	11	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	214	12	-	-	PUNCT
iajs-1953	214	13	ω	ω	VERB
iajs-1953	214	14	-	-	ADJ
iajs-1953	214	15	open	open	ADJ
iajs-1953	214	16	,	,	PUNCT
iajs-1953	214	17	soft	soft	ADJ
iajs-1953	214	18	(	(	PUNCT
iajs-1953	214	19	1,2)*-b	1,2)*-b	NUM
iajs-1953	214	20	-	-	PUNCT
iajs-1953	214	21	ω	ω	NOUN
iajs-1953	214	22	-	-	ADJ
iajs-1953	214	23	open	open	ADJ
iajs-1953	214	24	,	,	PUNCT
iajs-1953	214	25	soft	soft	ADJ
iajs-1953	214	26	(	(	PUNCT
iajs-1953	214	27	1,2)*-β	1,2)*-β	NUM
iajs-1953	214	28	-	-	PUNCT
iajs-1953	214	29	ω	ω	NOUN
iajs-1953	214	30	-	-	ADJ
iajs-1953	214	31	open	open	ADJ
iajs-1953	214	32	)	)	PUNCT
iajs-1953	214	33	set	set	VERB
iajs-1953	214	34	in	in	ADP
iajs-1953	214	35	u	u	NOUN
iajs-1953	214	36	~	~	PUNCT
iajs-1953	214	37	containing	contain	VERB
iajs-1953	214	38	y~	y~	PROPN
iajs-1953	214	39	but	but	CCONJ
iajs-1953	214	40	not	not	PART
iajs-1953	214	41	x~	x~	PROPN
iajs-1953	214	42	.	.	PUNCT
iajs-1953	215	1	proposition	proposition	NOUN
iajs-1953	215	2	(	(	PUNCT
iajs-1953	215	3	2.22	2.22	NUM
iajs-1953	215	4	):	):	PUNCT
iajs-1953	215	5	every	every	PRON
iajs-1953	215	6	soft	soft	ADJ
iajs-1953	215	7	(	(	PUNCT
iajs-1953	215	8	1,2)*-ω1	1,2)*-ω1	NUM
iajs-1953	215	9	~	~	PUNCT
iajs-1953	215	10	t	t	PROPN
iajs-1953	215	11	-space	-space	NOUN
iajs-1953	215	12	(	(	PUNCT
iajs-1953	215	13	resp	resp	NOUN
iajs-1953	215	14	.	.	PUNCT
iajs-1953	216	1	soft	soft	ADJ
iajs-1953	216	2	(	(	PUNCT
iajs-1953	216	3	1,2)*1	1,2)*1	NUM
iajs-1953	216	4	~	~	PUNCT
iajs-1953	216	5	t	t	NOUN
iajs-1953	216	6	-space	-space	NOUN
iajs-1953	216	7	,	,	PUNCT
iajs-1953	216	8	soft	soft	ADJ
iajs-1953	216	9	(	(	PUNCT
iajs-1953	216	10	1,2)*-α	1,2)*-α	NUM
iajs-1953	216	11	-	-	PUNCT
iajs-1953	216	12	ω1	ω1	NOUN
iajs-1953	216	13	~	~	PUNCT
iajs-1953	216	14	t	t	NOUN
iajs-1953	216	15	-space	-space	NOUN
iajs-1953	216	16	,	,	PUNCT
iajs-1953	216	17	soft	soft	ADJ
iajs-1953	216	18	(	(	PUNCT
iajs-1953	216	19	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	216	20	-	-	PUNCT
iajs-1953	216	21	ω1	ω1	PROPN
iajs-1953	216	22	~	~	PUNCT
iajs-1953	216	23	t	t	NOUN
iajs-1953	216	24	-space	-space	NOUN
iajs-1953	216	25	,	,	PUNCT
iajs-1953	216	26	soft	soft	ADJ
iajs-1953	216	27	(	(	PUNCT
iajs-1953	216	28	1,2)*-b	1,2)*-b	NUM
iajs-1953	216	29	-	-	PUNCT
iajs-1953	216	30	ω1	ω1	PROPN
iajs-1953	216	31	~	~	PUNCT
iajs-1953	216	32	t	t	NOUN
iajs-1953	216	33	-space	-space	NOUN
iajs-1953	216	34	,	,	PUNCT
iajs-1953	216	35	soft	soft	ADJ
iajs-1953	216	36	(	(	PUNCT
iajs-1953	216	37	1,2)*-β	1,2)*-β	NUM
iajs-1953	216	38	-	-	PUNCT
iajs-1953	216	39	ω1	ω1	NOUN
iajs-1953	216	40	~	~	PUNCT
iajs-1953	216	41	t	t	NOUN
iajs-1953	216	42	-space	-space	NOUN
iajs-1953	216	43	)	)	PUNCT
iajs-1953	216	44	is	be	AUX
iajs-1953	216	45	a	a	DET
iajs-1953	216	46	soft	soft	ADJ
iajs-1953	216	47	(	(	PUNCT
iajs-1953	216	48	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	216	49	1	1	NUM
iajs-1953	216	50	~	~	PUNCT
iajs-1953	216	51	t	t	NOUN
iajs-1953	216	52	-space	-space	NOUN
iajs-1953	216	53	(	(	PUNCT
iajs-1953	216	54	resp	resp	NOUN
iajs-1953	216	55	.	.	PUNCT
iajs-1953	217	1	soft	soft	ADJ
iajs-1953	217	2	(	(	PUNCT
iajs-1953	217	3	1,2)*2	1,2)*2	NUM
iajs-1953	217	4	1	1	NUM
iajs-1953	217	5	~	~	PUNCT
iajs-1953	217	6	t	t	NOUN
iajs-1953	217	7	-space	-space	NOUN
iajs-1953	217	8	,	,	PUNCT
iajs-1953	217	9	soft	soft	ADJ
iajs-1953	217	10	(	(	PUNCT
iajs-1953	217	11	1,2)*-α	1,2)*-α	NUM
iajs-1953	217	12	-	-	NUM
iajs-1953	217	13	ω2	ω2	ADJ
iajs-1953	217	14	1	1	NUM
iajs-1953	217	15	~	~	PUNCT
iajs-1953	217	16	t	t	NOUN
iajs-1953	217	17	-space	-space	NOUN
iajs-1953	217	18	,	,	PUNCT
iajs-1953	217	19	soft	soft	ADJ
iajs-1953	217	20	(	(	PUNCT
iajs-1953	217	21	1,2	1,2	NUM
iajs-1953	217	22	)	)	PUNCT
iajs-1953	217	23	*	*	PUNCT
iajs-1953	217	24	pre	pre	ADJ
iajs-1953	217	25	-	-	ADJ
iajs-1953	217	26	ω2	ω2	ADJ
iajs-1953	217	27	1	1	NUM
iajs-1953	217	28	~	~	PUNCT
iajs-1953	217	29	t	t	NOUN
iajs-1953	217	30	-space	-space	NOUN
iajs-1953	217	31	,	,	PUNCT
iajs-1953	217	32	soft	soft	ADJ
iajs-1953	217	33	(	(	PUNCT
iajs-1953	217	34	1,2)*-b	1,2)*-b	NUM
iajs-1953	217	35	-	-	PUNCT
iajs-1953	217	36	ω2	ω2	ADJ
iajs-1953	217	37	1	1	NUM
iajs-1953	217	38	~	~	PUNCT
iajs-1953	217	39	t	t	NOUN
iajs-1953	217	40	-space	-space	NOUN
iajs-1953	217	41	,	,	PUNCT
iajs-1953	217	42	soft	soft	ADJ
iajs-1953	217	43	(	(	PUNCT
iajs-1953	217	44	1,2)*-β	1,2)*-β	NUM
iajs-1953	217	45	-	-	PUNCT
iajs-1953	217	46	ω2	ω2	ADJ
iajs-1953	217	47	1	1	NUM
iajs-1953	217	48	~	~	PUNCT
iajs-1953	217	49	t	t	NOUN
iajs-1953	217	50	-space	-space	NOUN
iajs-1953	217	51	)	)	PUNCT
iajs-1953	217	52	.	.	PUNCT
iajs-1953	218	1	remark	remark	NOUN
iajs-1953	218	2	(	(	PUNCT
iajs-1953	218	3	2.23	2.23	NUM
iajs-1953	218	4	):	):	PUNCT
iajs-1953	218	5	the	the	DET
iajs-1953	218	6	soft	soft	ADJ
iajs-1953	218	7	(	(	PUNCT
iajs-1953	218	8	1,2)*2	1,2)*2	NUM
iajs-1953	218	9	1	1	NUM
iajs-1953	218	10	~	~	PUNCT
iajs-1953	218	11	t	t	NOUN
iajs-1953	218	12	-space	-space	NOUN
iajs-1953	218	13	may	may	AUX
iajs-1953	218	14	not	not	PART
iajs-1953	218	15	be	be	AUX
iajs-1953	218	16	soft	soft	ADJ
iajs-1953	218	17	(	(	PUNCT
iajs-1953	218	18	1,2)*1	1,2)*1	NUM
iajs-1953	218	19	~	~	PUNCT
iajs-1953	218	20	t	t	NOUN
iajs-1953	218	21	-space	-space	NOUN
iajs-1953	218	22	in	in	ADP
iajs-1953	218	23	general	general	ADJ
iajs-1953	218	24	we	we	PRON
iajs-1953	218	25	can	can	AUX
iajs-1953	218	26	see	see	VERB
iajs-1953	218	27	in	in	ADP
iajs-1953	218	28	the	the	DET
iajs-1953	218	29	following	follow	VERB
iajs-1953	218	30	example	example	NOUN
iajs-1953	218	31	:	:	PUNCT
iajs-1953	218	32	example	example	NOUN
iajs-1953	218	33	(	(	PUNCT
iajs-1953	218	34	2.24	2.24	NUM
iajs-1953	218	35	):	):	PUNCT
iajs-1953	218	36	let	let	VERB
iajs-1953	218	37	}	}	PUNCT
iajs-1953	218	38	,	,	PUNCT
iajs-1953	218	39	{	{	PUNCT
iajs-1953	218	40	bau	bau	PROPN
iajs-1953	218	41			PROPN
iajs-1953	218	42	and	and	CCONJ
iajs-1953	218	43	}	}	PUNCT
iajs-1953	218	44	{	{	PUNCT
iajs-1953	218	45	pp	pp	PROPN
iajs-1953	218	46			NOUN
iajs-1953	218	47	and	and	CCONJ
iajs-1953	218	48	let	let	VERB
iajs-1953	218	49	)	)	PUNCT
iajs-1953	218	50	}	}	PUNCT
iajs-1953	218	51	,	,	PUNCT
iajs-1953	218	52	(	(	PUNCT
iajs-1953	218	53	,	,	PUNCT
iajs-1953	218	54	~	~	PROPN
iajs-1953	218	55	,	,	PUNCT
iajs-1953	218	56	~	~	PUNCT
iajs-1953	218	57	{	{	PUNCT
iajs-1953	218	58	~	~	SYM
iajs-1953	218	59	1	1	NUM
iajs-1953	218	60	phu	phu	NOUN
iajs-1953	218	61	φτ	φτ	NOUN
iajs-1953	218	62			NOUN
iajs-1953	218	63	and	and	CCONJ
iajs-1953	218	64	}	}	PUNCT
iajs-1953	219	1	~	~	PUNCT
iajs-1953	219	2	,	,	PUNCT
iajs-1953	219	3	~	~	PUNCT
iajs-1953	219	4	{	{	PUNCT
iajs-1953	219	5	~	~	SYM
iajs-1953	219	6	2	2	NUM
iajs-1953	219	7	φτ	φτ	NOUN
iajs-1953	219	8	u	u	NOUN
iajs-1953	219	9	be	be	AUX
iajs-1953	219	10	soft	soft	ADJ
iajs-1953	219	11	topologies	topology	NOUN
iajs-1953	219	12	over	over	ADP
iajs-1953	219	13	u	u	NOUN
iajs-1953	219	14	,	,	PUNCT
iajs-1953	219	15	where	where	SCONJ
iajs-1953	219	16			NOUN
iajs-1953	219	17	)	)	PUNCT
iajs-1953	219	18	,	,	PUNCT
iajs-1953	219	19	(	(	PUNCT
iajs-1953	219	20	ph	ph	NOUN
iajs-1953	219	21	}	}	PUNCT
iajs-1953	219	22	)	)	PUNCT
iajs-1953	219	23	}	}	PUNCT
iajs-1953	219	24	{	{	PUNCT
iajs-1953	219	25	,	,	PUNCT
iajs-1953	219	26	{	{	PUNCT
iajs-1953	219	27	(	(	PUNCT
iajs-1953	219	28	ap	ap	PROPN
iajs-1953	219	29	.	.	PUNCT
iajs-1953	220	1	the	the	DET
iajs-1953	220	2	soft	soft	ADJ
iajs-1953	220	3	sets	set	NOUN
iajs-1953	220	4	in	in	ADP
iajs-1953	220	5	)	)	PUNCT
iajs-1953	220	6	}	}	PUNCT
iajs-1953	220	7	,	,	PUNCT
iajs-1953	220	8	(	(	PUNCT
iajs-1953	220	9	,	,	PUNCT
iajs-1953	220	10	~	~	PROPN
iajs-1953	220	11	,	,	PUNCT
iajs-1953	220	12	~	~	PUNCT
iajs-1953	220	13	{	{	PUNCT
iajs-1953	220	14	phu	phu	PROPN
iajs-1953	220	15	φ	φ	PROPN
iajs-1953	220	16	are	be	AUX
iajs-1953	220	17	soft	soft	ADJ
iajs-1953	220	18	21	21	NUM
iajs-1953	220	19	~~	~~	PUNCT
iajs-1953	220	20	ττ	ττ	ADP
iajs-1953	220	21	open	open	ADJ
iajs-1953	220	22	sets	set	NOUN
iajs-1953	220	23	.	.	PUNCT
iajs-1953	221	1	thus	thus	ADV
iajs-1953	221	2	)	)	PUNCT
iajs-1953	221	3	,	,	PUNCT
iajs-1953	221	4	~,~	~,~	NUM
iajs-1953	221	5	,	,	PUNCT
iajs-1953	221	6	(	(	PUNCT
iajs-1953	221	7	21	21	NUM
iajs-1953	221	8	pu	pu	PROPN
iajs-1953	221	9	ττ	ττ	PROPN
iajs-1953	221	10	is	be	AUX
iajs-1953	221	11	a	a	DET
iajs-1953	221	12	soft	soft	ADJ
iajs-1953	221	13	(	(	PUNCT
iajs-1953	221	14	1,2)*2	1,2)*2	NUM
iajs-1953	221	15	1	1	NUM
iajs-1953	221	16	~	~	PUNCT
iajs-1953	221	17	t	t	NOUN
iajs-1953	221	18	-space	-space	NOUN
iajs-1953	221	19	,	,	PUNCT
iajs-1953	221	20	but	but	CCONJ
iajs-1953	221	21	is	be	AUX
iajs-1953	221	22	not	not	PART
iajs-1953	221	23	soft	soft	ADJ
iajs-1953	221	24	(	(	PUNCT
iajs-1953	221	25	1,2)*1	1,2)*1	NUM
iajs-1953	221	26	~	~	PUNCT
iajs-1953	221	27	t	t	NOUN
iajs-1953	221	28	-space	-space	NOUN
iajs-1953	221	29	,	,	PUNCT
iajs-1953	221	30	since	since	SCONJ
iajs-1953	221	31	}	}	PUNCT
iajs-1953	221	32	)	)	PUNCT
iajs-1953	221	33	{	{	PUNCT
iajs-1953	221	34	,	,	PUNCT
iajs-1953	221	35	(	(	PUNCT
iajs-1953	221	36	ap	ap	NOUN
iajs-1953	221	37	}	}	PUNCT
iajs-1953	221	38	)	)	PUNCT
iajs-1953	221	39	{	{	PUNCT
iajs-1953	221	40	,	,	PUNCT
iajs-1953	221	41	(	(	PUNCT
iajs-1953	221	42	~~	~~	NUM
iajs-1953	221	43	bpyx	bpyx	NOUN
iajs-1953	221	44			X
iajs-1953	221	45	,	,	PUNCT
iajs-1953	221	46	but	but	CCONJ
iajs-1953	221	47	there	there	PRON
iajs-1953	221	48	exists	exist	VERB
iajs-1953	221	49	no	no	DET
iajs-1953	221	50	soft	soft	ADJ
iajs-1953	221	51	21	21	NUM
iajs-1953	221	52	~~	~~	NUM
iajs-1953	221	53	ττ	ττ	PART
iajs-1953	221	54	-open	-open	ADJ
iajs-1953	221	55	set	set	NOUN
iajs-1953	221	56	containing	contain	VERB
iajs-1953	221	57	y~	y~	PROPN
iajs-1953	221	58	,	,	PUNCT
iajs-1953	221	59	but	but	CCONJ
iajs-1953	221	60	not	not	PART
iajs-1953	221	61	containing	contain	VERB
iajs-1953	221	62	x~	x~	X
iajs-1953	221	63	.	.	PUNCT
iajs-1953	222	1	proposition	proposition	NOUN
iajs-1953	222	2	(	(	PUNCT
iajs-1953	222	3	2.25	2.25	NUM
iajs-1953	222	4	):	):	PUNCT
iajs-1953	222	5	every	every	PRON
iajs-1953	222	6	soft	soft	ADJ
iajs-1953	222	7	(	(	PUNCT
iajs-1953	222	8	1,2)*1	1,2)*1	NUM
iajs-1953	222	9	~	~	PUNCT
iajs-1953	222	10	t	t	NOUN
iajs-1953	222	11	-space	-space	NOUN
iajs-1953	222	12	is	be	AUX
iajs-1953	222	13	a	a	DET
iajs-1953	222	14	soft	soft	ADJ
iajs-1953	222	15	(	(	PUNCT
iajs-1953	222	16	1,2)*-ω1	1,2)*-ω1	NUM
iajs-1953	222	17	~	~	PUNCT
iajs-1953	222	18	t	t	PROPN
iajs-1953	222	19	-space	-space	NOUN
iajs-1953	222	20	(	(	PUNCT
iajs-1953	222	21	resp	resp	NOUN
iajs-1953	222	22	.	.	PUNCT
iajs-1953	223	1	soft	soft	ADJ
iajs-1953	223	2	(	(	PUNCT
iajs-1953	223	3	1,2)*α	1,2)*α	NUM
iajs-1953	223	4	-	-	PUNCT
iajs-1953	223	5	ω1	ω1	PROPN
iajs-1953	223	6	~	~	PUNCT
iajs-1953	223	7	t	t	NOUN
iajs-1953	223	8	-space	-space	NOUN
iajs-1953	223	9	,	,	PUNCT
iajs-1953	223	10	soft	soft	ADJ
iajs-1953	223	11	(	(	PUNCT
iajs-1953	223	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	223	13	-	-	PUNCT
iajs-1953	223	14	ω1	ω1	PROPN
iajs-1953	223	15	~	~	PUNCT
iajs-1953	223	16	t	t	NOUN
iajs-1953	223	17	-space	-space	NOUN
iajs-1953	223	18	,	,	PUNCT
iajs-1953	223	19	soft	soft	ADJ
iajs-1953	223	20	(	(	PUNCT
iajs-1953	223	21	1,2)*-b	1,2)*-b	NUM
iajs-1953	223	22	-	-	PUNCT
iajs-1953	223	23	ω1	ω1	PROPN
iajs-1953	223	24	~	~	PUNCT
iajs-1953	223	25	t	t	NOUN
iajs-1953	223	26	-space	-space	NOUN
iajs-1953	223	27	,	,	PUNCT
iajs-1953	223	28	soft	soft	ADJ
iajs-1953	223	29	(	(	PUNCT
iajs-1953	223	30	1,2)*-β	1,2)*-β	NUM
iajs-1953	223	31	-	-	PUNCT
iajs-1953	223	32	ω1	ω1	ADJ
iajs-1953	223	33	~	~	PUNCT
iajs-1953	223	34	t	t	NOUN
iajs-1953	223	35	space	space	NOUN
iajs-1953	223	36	)	)	PUNCT
iajs-1953	223	37	.	.	PUNCT
iajs-1953	224	1	proof	proof	NOUN
iajs-1953	224	2	:	:	PUNCT
iajs-1953	224	3	it	it	PRON
iajs-1953	224	4	is	be	AUX
iajs-1953	224	5	obvious	obvious	ADJ
iajs-1953	224	6	.	.	PUNCT
iajs-1953	225	1	remark	remark	NOUN
iajs-1953	225	2	(	(	PUNCT
iajs-1953	225	3	2.26	2.26	NUM
iajs-1953	225	4	):	):	PUNCT
iajs-1953	225	5	the	the	DET
iajs-1953	225	6	converse	converse	NOUN
iajs-1953	225	7	of	of	ADP
iajs-1953	225	8	proposition	proposition	NOUN
iajs-1953	225	9	(	(	PUNCT
iajs-1953	225	10	2.25	2.25	NUM
iajs-1953	225	11	)	)	PUNCT
iajs-1953	225	12	is	be	AUX
iajs-1953	225	13	not	not	PART
iajs-1953	225	14	true	true	ADJ
iajs-1953	225	15	in	in	ADP
iajs-1953	225	16	general	general	ADJ
iajs-1953	225	17	.	.	PUNCT
iajs-1953	226	1	we	we	PRON
iajs-1953	226	2	see	see	VERB
iajs-1953	226	3	that	that	SCONJ
iajs-1953	226	4	in	in	ADP
iajs-1953	226	5	the	the	DET
iajs-1953	226	6	following	follow	VERB
iajs-1953	226	7	example	example	NOUN
iajs-1953	226	8	:	:	PUNCT
iajs-1953	226	9	example	example	NOUN
iajs-1953	226	10	(	(	PUNCT
iajs-1953	226	11	2.27	2.27	NUM
iajs-1953	226	12	):	):	PUNCT
iajs-1953	226	13	let	let	VERB
iajs-1953	226	14	}	}	PUNCT
iajs-1953	226	15	,	,	PUNCT
iajs-1953	226	16	{	{	PUNCT
iajs-1953	226	17	bau	bau	PROPN
iajs-1953	226	18			PROPN
iajs-1953	226	19	and	and	CCONJ
iajs-1953	226	20	}	}	PUNCT
iajs-1953	226	21	,	,	PUNCT
iajs-1953	226	22	{	{	PUNCT
iajs-1953	226	23	21	21	NUM
iajs-1953	226	24	ppp	ppp	NOUN
iajs-1953	226	25			NOUN
iajs-1953	226	26	and	and	CCONJ
iajs-1953	226	27	let	let	VERB
iajs-1953	226	28	)	)	PUNCT
iajs-1953	226	29	}	}	PUNCT
iajs-1953	226	30	,	,	PUNCT
iajs-1953	226	31	(	(	PUNCT
iajs-1953	226	32	,	,	PUNCT
iajs-1953	226	33	~	~	PROPN
iajs-1953	226	34	,	,	PUNCT
iajs-1953	226	35	~	~	PUNCT
iajs-1953	226	36	{	{	PUNCT
iajs-1953	226	37	~	~	PUNCT
iajs-1953	226	38	11	11	NUM
iajs-1953	226	39	phu	phu	NOUN
iajs-1953	226	40	φτ	φτ	NOUN
iajs-1953	226	41			PROPN
iajs-1953	226	42	and	and	CCONJ
iajs-1953	226	43	,	,	PUNCT
iajs-1953	226	44	~	~	PROPN
iajs-1953	226	45	,	,	PUNCT
iajs-1953	226	46	~	~	PUNCT
iajs-1953	226	47	{	{	PUNCT
iajs-1953	226	48	~	~	SYM
iajs-1953	226	49	2	2	NUM
iajs-1953	226	50	φτ	φτ	NOUN
iajs-1953	226	51	u	u	NOUN
iajs-1953	226	52	)	)	PUNCT
iajs-1953	226	53	}	}	PUNCT
iajs-1953	226	54	,	,	PUNCT
iajs-1953	226	55	(	(	PUNCT
iajs-1953	226	56	2	2	NUM
iajs-1953	226	57	ph	ph	NOUN
iajs-1953	226	58	be	be	AUX
iajs-1953	226	59	soft	soft	ADJ
iajs-1953	226	60	topologies	topology	NOUN
iajs-1953	226	61	over	over	ADP
iajs-1953	226	62	u	u	NOUN
iajs-1953	226	63	,	,	PUNCT
iajs-1953	226	64	where	where	SCONJ
iajs-1953	226	65			NOUN
iajs-1953	226	66	)	)	PUNCT
iajs-1953	226	67	,	,	PUNCT
iajs-1953	226	68	(	(	PUNCT
iajs-1953	226	69	1	1	NUM
iajs-1953	226	70	ph	ph	NOUN
iajs-1953	226	71	}	}	PUNCT
iajs-1953	226	72	)	)	PUNCT
iajs-1953	226	73	}	}	PUNCT
iajs-1953	226	74	{	{	PUNCT
iajs-1953	226	75	,	,	PUNCT
iajs-1953	226	76	(	(	PUNCT
iajs-1953	226	77	}	}	PUNCT
iajs-1953	226	78	)	)	PUNCT
iajs-1953	226	79	,	,	PUNCT
iajs-1953	226	80	{	{	PUNCT
iajs-1953	226	81	,	,	PUNCT
iajs-1953	226	82	{	{	PUNCT
iajs-1953	226	83	(	(	PUNCT
iajs-1953	226	84	21	21	NUM
iajs-1953	226	85	bpap	bpap	NOUN
iajs-1953	226	86	and	and	CCONJ
iajs-1953	226	87			NUM
iajs-1953	226	88	)	)	PUNCT
iajs-1953	226	89	,	,	PUNCT
iajs-1953	226	90	(	(	PUNCT
iajs-1953	226	91	2	2	NUM
iajs-1953	226	92	ph	ph	NOUN
iajs-1953	226	93	}	}	PUNCT
iajs-1953	226	94	)	)	PUNCT
iajs-1953	226	95	}	}	PUNCT
iajs-1953	226	96	{	{	PUNCT
iajs-1953	226	97	,	,	PUNCT
iajs-1953	226	98	(	(	PUNCT
iajs-1953	226	99	}	}	PUNCT
iajs-1953	226	100	)	)	PUNCT
iajs-1953	226	101	,	,	PUNCT
iajs-1953	226	102	{	{	PUNCT
iajs-1953	226	103	,	,	PUNCT
iajs-1953	226	104	{	{	PUNCT
iajs-1953	226	105	(	(	PUNCT
iajs-1953	226	106	21	21	NUM
iajs-1953	226	107	apbp	apbp	NOUN
iajs-1953	226	108	.	.	PUNCT
iajs-1953	227	1	the	the	DET
iajs-1953	227	2	soft	soft	ADJ
iajs-1953	227	3	sets	set	NOUN
iajs-1953	227	4	in	in	ADP
iajs-1953	227	5	)	)	PUNCT
iajs-1953	227	6	,	,	PUNCT
iajs-1953	227	7	,	,	PUNCT
iajs-1953	227	8	(	(	PUNCT
iajs-1953	227	9	,	,	PUNCT
iajs-1953	227	10	~	~	PROPN
iajs-1953	227	11	,	,	PUNCT
iajs-1953	227	12	~	~	PUNCT
iajs-1953	227	13	{	{	PUNCT
iajs-1953	227	14	1	1	NUM
iajs-1953	227	15	phu	phu	NOUN
iajs-1953	227	16	φ	φ	PROPN
iajs-1953	227	17	)	)	PUNCT
iajs-1953	227	18	}	}	PUNCT
iajs-1953	227	19	,	,	PUNCT
iajs-1953	227	20	(	(	PUNCT
iajs-1953	227	21	2	2	NUM
iajs-1953	227	22	ph	ph	NOUN
iajs-1953	227	23	are	be	AUX
iajs-1953	227	24	soft	soft	ADJ
iajs-1953	227	25	21	21	NUM
iajs-1953	227	26	~~	~~	NUM
iajs-1953	227	27	ττ	ττ	PART
iajs-1953	227	28	-open	-open	PROPN
iajs-1953	227	29	.	.	PUNCT
iajs-1953	228	1	thus	thus	ADV
iajs-1953	228	2	)	)	PUNCT
iajs-1953	228	3	,	,	PUNCT
iajs-1953	228	4	~,~	~,~	NUM
iajs-1953	228	5	,	,	PUNCT
iajs-1953	228	6	(	(	PUNCT
iajs-1953	228	7	21	21	NUM
iajs-1953	228	8	pu	pu	PROPN
iajs-1953	228	9	ττ	ττ	PROPN
iajs-1953	228	10	is	be	AUX
iajs-1953	228	11	a	a	DET
iajs-1953	228	12	soft	soft	ADJ
iajs-1953	228	13	(	(	PUNCT
iajs-1953	228	14	1,2)*-ω1	1,2)*-ω1	NUM
iajs-1953	228	15	~	~	PUNCT
iajs-1953	228	16	t	t	PROPN
iajs-1953	228	17	-space	-space	NOUN
iajs-1953	228	18	(	(	PUNCT
iajs-1953	228	19	resp	resp	NOUN
iajs-1953	228	20	.	.	PUNCT
iajs-1953	229	1	soft	soft	ADJ
iajs-1953	229	2	(	(	PUNCT
iajs-1953	229	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	229	4	-	-	PUNCT
iajs-1953	229	5	ω1	ω1	NOUN
iajs-1953	229	6	~	~	PUNCT
iajs-1953	229	7	t	t	NOUN
iajs-1953	229	8	-space	-space	NOUN
iajs-1953	229	9	,	,	PUNCT
iajs-1953	229	10	soft	soft	ADJ
iajs-1953	229	11	(	(	PUNCT
iajs-1953	229	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	229	13	-	-	PUNCT
iajs-1953	229	14	ω1	ω1	PROPN
iajs-1953	229	15	~	~	PUNCT
iajs-1953	229	16	t	t	NOUN
iajs-1953	229	17	-space	-space	NOUN
iajs-1953	229	18	,	,	PUNCT
iajs-1953	229	19	soft	soft	ADJ
iajs-1953	229	20	(	(	PUNCT
iajs-1953	229	21	1,2)*-b	1,2)*-b	NUM
iajs-1953	229	22	-	-	PUNCT
iajs-1953	229	23	ω1	ω1	PROPN
iajs-1953	229	24	~	~	PUNCT
iajs-1953	229	25	t	t	NOUN
iajs-1953	229	26	-space	-space	NOUN
iajs-1953	229	27	,	,	PUNCT
iajs-1953	229	28	soft	soft	ADJ
iajs-1953	229	29	(	(	PUNCT
iajs-1953	229	30	1,2)*-β	1,2)*-β	NUM
iajs-1953	229	31	-	-	PUNCT
iajs-1953	229	32	ω1	ω1	NOUN
iajs-1953	229	33	~	~	PUNCT
iajs-1953	229	34	t	t	NOUN
iajs-1953	229	35	-space	-space	NOUN
iajs-1953	229	36	)	)	PUNCT
iajs-1953	229	37	,	,	PUNCT
iajs-1953	229	38	but	but	CCONJ
iajs-1953	229	39	is	be	AUX
iajs-1953	229	40	not	not	PART
iajs-1953	229	41	soft	soft	ADJ
iajs-1953	229	42	(	(	PUNCT
iajs-1953	229	43	1,2)*1	1,2)*1	NUM
iajs-1953	229	44	~	~	PUNCT
iajs-1953	229	45	t	t	NOUN
iajs-1953	229	46	-space	-space	NOUN
iajs-1953	229	47	.	.	PUNCT
iajs-1953	230	1	https://doi.org/10.30526/31.2.19523	https://doi.org/10.30526/31.2.19523	PROPN
iajs-1953	231	1	https://doi.org/10.30526/31.2.1953	https://doi.org/10.30526/31.2.1953	PROPN
iajs-1953	231	2	mathmatics	mathmatics	PROPN
iajs-1953	231	3	|	|	ADV
iajs-1953	231	4	145	145	NUM
iajs-1953	231	5	8201	8201	NUM
iajs-1953	231	6	(	(	PUNCT
iajs-1953	231	7	عام	عام	ADP
iajs-1953	231	8	2العدد	2العدد	NUM
iajs-1953	231	9	)	)	PUNCT
iajs-1953	231	10	13لمجلد	13لمجلد	NUM
iajs-1953	232	1	ا	ا	INTJ
iajs-1953	233	1	مجلة	مجلة	PROPN
iajs-1953	233	2	إبن	إبن	VERB
iajs-1953	233	3	الهيثم	الهيثم	ADJ
iajs-1953	233	4	للعلوم	للعلوم	NOUN
iajs-1953	233	5	الصرفة	الصرفة	NOUN
iajs-1953	234	1	و	و	PRON
iajs-1953	234	2	التطبيقية	التطبيقية	ADJ
iajs-1953	234	3	ibn	ibn	PROPN
iajs-1953	234	4	al	al	PROPN
iajs-1953	234	5	-	-	PUNCT
iajs-1953	234	6	haitham	haitham	PROPN
iajs-1953	234	7	jour	jour	X
iajs-1953	234	8	.	.	PROPN
iajs-1953	234	9	for	for	ADP
iajs-1953	234	10	pure	pure	ADJ
iajs-1953	234	11	&	&	CCONJ
iajs-1953	234	12	appl	appl	PROPN
iajs-1953	234	13	.	.	PUNCT
iajs-1953	235	1	sci	sci	PROPN
iajs-1953	235	2	.	.	PUNCT
iajs-1953	235	3	vol	vol	NOUN
iajs-1953	235	4	.	.	PROPN
iajs-1953	236	1	31	31	NUM
iajs-1953	236	2	(	(	PUNCT
iajs-1953	236	3	2	2	NUM
iajs-1953	236	4	)	)	SYM
iajs-1953	236	5	2018	2018	NUM
iajs-1953	236	6	theorem	theorem	NOUN
iajs-1953	236	7	(	(	PUNCT
iajs-1953	236	8	2.28	2.28	NUM
iajs-1953	236	9	):	):	PUNCT
iajs-1953	236	10	in	in	ADP
iajs-1953	236	11	a	a	DET
iajs-1953	236	12	soft	soft	ADJ
iajs-1953	236	13	bitopological	bitopological	ADJ
iajs-1953	236	14	space	space	NOUN
iajs-1953	236	15	)	)	PUNCT
iajs-1953	236	16	,	,	PUNCT
iajs-1953	236	17	~,~	~,~	NUM
iajs-1953	236	18	,	,	PUNCT
iajs-1953	236	19	(	(	PUNCT
iajs-1953	236	20	21	21	NUM
iajs-1953	236	21	pu	pu	NOUN
iajs-1953	236	22	ττ	ττ	VERB
iajs-1953	236	23	the	the	DET
iajs-1953	236	24	following	follow	VERB
iajs-1953	236	25	statements	statement	NOUN
iajs-1953	236	26	are	be	AUX
iajs-1953	236	27	equivalent	equivalent	ADJ
iajs-1953	236	28	.	.	PUNCT
iajs-1953	237	1	(	(	PUNCT
iajs-1953	237	2	i	i	NOUN
iajs-1953	237	3	)	)	PUNCT
iajs-1953	237	4	)	)	PUNCT
iajs-1953	237	5	,	,	PUNCT
iajs-1953	237	6	~,~	~,~	X
iajs-1953	237	7	,	,	PUNCT
iajs-1953	237	8	(	(	PUNCT
iajs-1953	237	9	21	21	NUM
iajs-1953	237	10	pu	pu	PROPN
iajs-1953	237	11	ττ	ττ	PROPN
iajs-1953	237	12	is	be	AUX
iajs-1953	237	13	a	a	DET
iajs-1953	237	14	soft	soft	ADJ
iajs-1953	237	15	(	(	PUNCT
iajs-1953	237	16	1,2)*-ω1	1,2)*-ω1	NUM
iajs-1953	237	17	~	~	PUNCT
iajs-1953	237	18	t	t	PROPN
iajs-1953	237	19	-space	-space	NOUN
iajs-1953	237	20	(	(	PUNCT
iajs-1953	237	21	resp	resp	NOUN
iajs-1953	237	22	.	.	PUNCT
iajs-1953	238	1	soft	soft	ADJ
iajs-1953	238	2	(	(	PUNCT
iajs-1953	238	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	238	4	-	-	PUNCT
iajs-1953	238	5	ω1	ω1	NOUN
iajs-1953	238	6	~	~	PUNCT
iajs-1953	238	7	t	t	NOUN
iajs-1953	238	8	-space	-space	NOUN
iajs-1953	238	9	,	,	PUNCT
iajs-1953	238	10	soft	soft	ADJ
iajs-1953	238	11	(	(	PUNCT
iajs-1953	238	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	238	13	-	-	SYM
iajs-1953	238	14	ω	ω	NUM
iajs-1953	238	15	1	1	NUM
iajs-1953	238	16	~	~	PUNCT
iajs-1953	238	17	t	t	NOUN
iajs-1953	238	18	-space	-space	NOUN
iajs-1953	238	19	,	,	PUNCT
iajs-1953	238	20	soft	soft	ADJ
iajs-1953	238	21	(	(	PUNCT
iajs-1953	238	22	1,2)*-b	1,2)*-b	NUM
iajs-1953	238	23	-	-	PUNCT
iajs-1953	238	24	ω1	ω1	PROPN
iajs-1953	238	25	~	~	PUNCT
iajs-1953	238	26	t	t	NOUN
iajs-1953	238	27	-space	-space	NOUN
iajs-1953	238	28	,	,	PUNCT
iajs-1953	238	29	soft	soft	ADJ
iajs-1953	238	30	(	(	PUNCT
iajs-1953	238	31	1,2)*-β	1,2)*-β	NUM
iajs-1953	238	32	-	-	PUNCT
iajs-1953	238	33	ω1	ω1	NOUN
iajs-1953	238	34	~	~	PUNCT
iajs-1953	238	35	t	t	NOUN
iajs-1953	238	36	-space	-space	NOUN
iajs-1953	238	37	)	)	PUNCT
iajs-1953	238	38	(	(	PUNCT
iajs-1953	238	39	ii	ii	NOUN
iajs-1953	238	40	)	)	PUNCT
iajs-1953	238	41	for	for	ADP
iajs-1953	238	42	each	each	PRON
iajs-1953	238	43	ux	ux	X
iajs-1953	238	44	~~~	~~~	PUNCT
iajs-1953	238	45	,	,	PUNCT
iajs-1953	238	46	}	}	PUNCT
iajs-1953	238	47	~{x	~{x	PRON
iajs-1953	238	48	is	be	AUX
iajs-1953	238	49	a	a	DET
iajs-1953	238	50	soft	soft	ADJ
iajs-1953	238	51	(	(	PUNCT
iajs-1953	238	52	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	238	53	-	-	PUNCT
iajs-1953	238	54	closed	closed	ADJ
iajs-1953	238	55	(	(	PUNCT
iajs-1953	238	56	resp	resp	NOUN
iajs-1953	238	57	.	.	PUNCT
iajs-1953	239	1	soft	soft	ADJ
iajs-1953	239	2	(	(	PUNCT
iajs-1953	239	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	239	4	-	-	PUNCT
iajs-1953	239	5	ω	ω	NOUN
iajs-1953	239	6	-	-	PUNCT
iajs-1953	239	7	closed	closed	ADJ
iajs-1953	239	8	,	,	PUNCT
iajs-1953	239	9	soft	soft	ADJ
iajs-1953	239	10	(	(	PUNCT
iajs-1953	239	11	1,2	1,2	NUM
iajs-1953	239	12	)	)	PUNCT
iajs-1953	239	13	*	*	PUNCT
iajs-1953	239	14	pre	pre	ADJ
iajs-1953	239	15	-	-	ADJ
iajs-1953	239	16	ω	ω	VERB
iajs-1953	239	17	-	-	PUNCT
iajs-1953	239	18	closed	closed	ADJ
iajs-1953	239	19	,	,	PUNCT
iajs-1953	239	20	soft	soft	ADJ
iajs-1953	239	21	(	(	PUNCT
iajs-1953	239	22	1,2)*-b	1,2)*-b	NUM
iajs-1953	239	23	-	-	PUNCT
iajs-1953	239	24	ω	ω	NOUN
iajs-1953	239	25	-	-	PUNCT
iajs-1953	239	26	closed	closed	ADJ
iajs-1953	239	27	,	,	PUNCT
iajs-1953	239	28	soft	soft	ADJ
iajs-1953	239	29	(	(	PUNCT
iajs-1953	239	30	1,2)*-β	1,2)*-β	NUM
iajs-1953	239	31	-	-	PUNCT
iajs-1953	239	32	ω	ω	NOUN
iajs-1953	239	33	-	-	PUNCT
iajs-1953	239	34	closed	closed	ADJ
iajs-1953	239	35	)	)	PUNCT
iajs-1953	239	36	set	set	VERB
iajs-1953	239	37	in	in	ADP
iajs-1953	239	38	u	u	NOUN
iajs-1953	239	39	~	~	PUNCT
iajs-1953	239	40	.	.	PUNCT
iajs-1953	240	1	(	(	PUNCT
iajs-1953	240	2	iii	iii	X
iajs-1953	240	3	)	)	PUNCT
iajs-1953	240	4	every	every	DET
iajs-1953	240	5	soft	soft	ADJ
iajs-1953	240	6	subset	subset	NOUN
iajs-1953	240	7	of	of	ADP
iajs-1953	240	8	u	u	PROPN
iajs-1953	240	9	~	~	PUNCT
iajs-1953	240	10	is	be	AUX
iajs-1953	240	11	the	the	DET
iajs-1953	240	12	intersection	intersection	NOUN
iajs-1953	240	13	of	of	ADP
iajs-1953	240	14	all	all	DET
iajs-1953	240	15	soft	soft	ADJ
iajs-1953	240	16	(	(	PUNCT
iajs-1953	240	17	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	240	18	-	-	ADJ
iajs-1953	240	19	open	open	ADJ
iajs-1953	240	20	(	(	PUNCT
iajs-1953	240	21	resp	resp	NOUN
iajs-1953	240	22	.	.	PUNCT
iajs-1953	241	1	soft	soft	ADJ
iajs-1953	241	2	(	(	PUNCT
iajs-1953	241	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	241	4	-	-	SYM
iajs-1953	241	5	ω	ω	NOUN
iajs-1953	241	6	open	open	ADJ
iajs-1953	241	7	,	,	PUNCT
iajs-1953	241	8	soft	soft	ADJ
iajs-1953	241	9	(	(	PUNCT
iajs-1953	241	10	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	241	11	-	-	PUNCT
iajs-1953	241	12	ω	ω	VERB
iajs-1953	241	13	-	-	ADJ
iajs-1953	241	14	open	open	ADJ
iajs-1953	241	15	,	,	PUNCT
iajs-1953	241	16	soft	soft	ADJ
iajs-1953	241	17	(	(	PUNCT
iajs-1953	241	18	1,2)*-b	1,2)*-b	NUM
iajs-1953	241	19	-	-	PUNCT
iajs-1953	241	20	ω	ω	NOUN
iajs-1953	241	21	-	-	ADJ
iajs-1953	241	22	open	open	ADJ
iajs-1953	241	23	,	,	PUNCT
iajs-1953	241	24	soft	soft	ADJ
iajs-1953	241	25	(	(	PUNCT
iajs-1953	241	26	1,2)*-β	1,2)*-β	NUM
iajs-1953	241	27	-	-	PUNCT
iajs-1953	241	28	ω	ω	NOUN
iajs-1953	241	29	-	-	ADJ
iajs-1953	241	30	open	open	ADJ
iajs-1953	241	31	)	)	PUNCT
iajs-1953	241	32	sets	set	NOUN
iajs-1953	241	33	containing	contain	VERB
iajs-1953	241	34	it	it	PRON
iajs-1953	241	35	.	.	PUNCT
iajs-1953	242	1	(	(	PUNCT
iajs-1953	242	2	iv	iv	X
iajs-1953	242	3	)	)	PUNCT
iajs-1953	242	4	the	the	DET
iajs-1953	242	5	intersection	intersection	NOUN
iajs-1953	242	6	of	of	ADP
iajs-1953	242	7	all	all	DET
iajs-1953	242	8	soft	soft	ADJ
iajs-1953	242	9	(	(	PUNCT
iajs-1953	242	10	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	242	11	-	-	ADJ
iajs-1953	242	12	open	open	ADJ
iajs-1953	242	13	(	(	PUNCT
iajs-1953	242	14	resp	resp	NOUN
iajs-1953	242	15	.	.	PUNCT
iajs-1953	243	1	soft	soft	ADJ
iajs-1953	243	2	(	(	PUNCT
iajs-1953	243	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	243	4	-	-	PUNCT
iajs-1953	243	5	ω	ω	NOUN
iajs-1953	243	6	-	-	ADJ
iajs-1953	243	7	open	open	ADJ
iajs-1953	243	8	,	,	PUNCT
iajs-1953	243	9	soft	soft	ADJ
iajs-1953	243	10	(	(	PUNCT
iajs-1953	243	11	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	243	12	-	-	SYM
iajs-1953	243	13	ω	ω	NOUN
iajs-1953	243	14	open	open	ADJ
iajs-1953	243	15	,	,	PUNCT
iajs-1953	243	16	soft	soft	ADJ
iajs-1953	243	17	(	(	PUNCT
iajs-1953	243	18	1,2)*-b	1,2)*-b	NUM
iajs-1953	243	19	-	-	PUNCT
iajs-1953	243	20	ω	ω	NOUN
iajs-1953	243	21	-	-	ADJ
iajs-1953	243	22	open	open	ADJ
iajs-1953	243	23	,	,	PUNCT
iajs-1953	243	24	soft	soft	ADJ
iajs-1953	243	25	(	(	PUNCT
iajs-1953	243	26	1,2)*-β	1,2)*-β	NUM
iajs-1953	243	27	-	-	PUNCT
iajs-1953	243	28	ω	ω	NOUN
iajs-1953	243	29	-	-	ADJ
iajs-1953	243	30	open	open	ADJ
iajs-1953	243	31	)	)	PUNCT
iajs-1953	243	32	sets	set	NOUN
iajs-1953	243	33	containing	contain	VERB
iajs-1953	243	34	the	the	DET
iajs-1953	243	35	soft	soft	ADJ
iajs-1953	243	36	point	point	NOUN
iajs-1953	243	37	ux	ux	PROPN
iajs-1953	243	38	~~~	~~~	PROPN
iajs-1953	243	39	is	be	AUX
iajs-1953	243	40	}	}	PUNCT
iajs-1953	243	41	~{x	~{x	ADJ
iajs-1953	243	42	.	.	PUNCT
iajs-1953	244	1	proof	proof	NOUN
iajs-1953	244	2	:	:	PUNCT
iajs-1953	244	3	)	)	PUNCT
iajs-1953	244	4	(	(	PUNCT
iajs-1953	244	5	)	)	PUNCT
iajs-1953	244	6	(	(	PUNCT
iajs-1953	244	7	iii	iii	X
iajs-1953	244	8			NOUN
iajs-1953	244	9	.	.	PUNCT
iajs-1953	245	1	let	let	VERB
iajs-1953	245	2	ux	ux	PROPN
iajs-1953	245	3	~~~	~~~	PUNCT
iajs-1953	245	4	.	.	PUNCT
iajs-1953	246	1	to	to	PART
iajs-1953	246	2	prove	prove	VERB
iajs-1953	246	3	that	that	SCONJ
iajs-1953	246	4	}	}	PUNCT
iajs-1953	246	5	~{x	~{x	NOUN
iajs-1953	246	6	is	be	AUX
iajs-1953	246	7	soft	soft	ADJ
iajs-1953	246	8	(	(	PUNCT
iajs-1953	246	9	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	246	10	-	-	PUNCT
iajs-1953	246	11	closed	closed	ADJ
iajs-1953	246	12	in	in	ADP
iajs-1953	246	13	u	u	NOUN
iajs-1953	246	14	~	~	PUNCT
iajs-1953	246	15	.	.	PUNCT
iajs-1953	247	1	let	let	VERB
iajs-1953	247	2	}	}	PUNCT
iajs-1953	247	3	~	~	PUNCT
iajs-1953	247	4	{	{	PUNCT
iajs-1953	247	5	~~	~~	X
iajs-1953	247	6	xy	xy	X
iajs-1953	247	7			PROPN
iajs-1953	247	8	yx	yx	PROPN
iajs-1953	247	9	~~	~~	PROPN
iajs-1953	247	10			PROPN
iajs-1953	247	11	.	.	PUNCT
iajs-1953	248	1	since	since	SCONJ
iajs-1953	248	2	)	)	PUNCT
iajs-1953	248	3	,	,	PUNCT
iajs-1953	248	4	~,~	~,~	NUM
iajs-1953	248	5	,	,	PUNCT
iajs-1953	248	6	(	(	PUNCT
iajs-1953	248	7	21	21	NUM
iajs-1953	248	8	pu	pu	PROPN
iajs-1953	248	9	ττ	ττ	PROPN
iajs-1953	248	10	is	be	AUX
iajs-1953	248	11	a	a	DET
iajs-1953	248	12	soft	soft	ADJ
iajs-1953	248	13	(	(	PUNCT
iajs-1953	248	14	1,2)*-ω1	1,2)*-ω1	NUM
iajs-1953	248	15	~	~	PUNCT
iajs-1953	248	16	t	t	NOUN
iajs-1953	248	17	-space	-space	NOUN
iajs-1953	248	18	,	,	PUNCT
iajs-1953	248	19	then	then	ADV
iajs-1953	248	20	there	there	PRON
iajs-1953	248	21	is	be	VERB
iajs-1953	248	22	a	a	DET
iajs-1953	248	23	soft	soft	ADJ
iajs-1953	248	24	(	(	PUNCT
iajs-1953	248	25	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	248	26	-	-	PUNCT
iajs-1953	248	27	open	open	ADJ
iajs-1953	248	28	set	set	NOUN
iajs-1953	248	29	)	)	PUNCT
iajs-1953	248	30	,	,	PUNCT
iajs-1953	248	31	(	(	PUNCT
iajs-1953	248	32	ph	ph	VERB
iajs-1953	248	33	in	in	ADP
iajs-1953	248	34	u	u	NOUN
iajs-1953	248	35	~	~	PUNCT
iajs-1953	248	36	such	such	ADJ
iajs-1953	248	37	that	that	PRON
iajs-1953	248	38	)	)	PUNCT
iajs-1953	248	39	,	,	PUNCT
iajs-1953	248	40	(	(	PUNCT
iajs-1953	248	41	~~	~~	NUM
iajs-1953	248	42	phy	phy	PROPN
iajs-1953	248	43	,	,	PUNCT
iajs-1953	248	44	but	but	CCONJ
iajs-1953	248	45	)	)	PUNCT
iajs-1953	248	46	,	,	PUNCT
iajs-1953	248	47	(	(	PUNCT
iajs-1953	248	48	~~	~~	X
iajs-1953	248	49	phx	phx	PROPN
iajs-1953	248	50			NOUN
iajs-1953	248	51	φ~	φ~	PROPN
iajs-1953	248	52	)	)	PUNCT
iajs-1953	248	53	,	,	PUNCT
iajs-1953	248	54	(	(	PUNCT
iajs-1953	248	55	~	~	PUNCT
iajs-1953	248	56	}	}	PUNCT
iajs-1953	248	57	~	~	X
iajs-1953	248	58	{	{	PUNCT
iajs-1953	248	59	phx	phx	NOUN
iajs-1953	248	60			PROPN
iajs-1953	248	61			NOUN
iajs-1953	248	62	}	}	PUNCT
iajs-1953	248	63	~{x	~{x	ADJ
iajs-1953	248	64	cph	cph	PROPN
iajs-1953	248	65	)	)	PUNCT
iajs-1953	248	66	,	,	PUNCT
iajs-1953	248	67	(	(	PUNCT
iajs-1953	248	68	~	~	PROPN
iajs-1953	248	69			NOUN
iajs-1953	248	70	(	(	PUNCT
iajs-1953	248	71	1,2)*})~({xclω	1,2)*})~({xclω	NUM
iajs-1953	248	72	~	~	NOUN
iajs-1953	248	73	(	(	PUNCT
iajs-1953	248	74	1,2)*	1,2)*	NUM
iajs-1953	248	75	)	)	PUNCT
iajs-1953	248	76	)	)	PUNCT
iajs-1953	248	77	,	,	PUNCT
iajs-1953	248	78	(	(	PUNCT
iajs-1953	248	79	(	(	PUNCT
iajs-1953	248	80	cphclω	cphclω	PROPN
iajs-1953	248	81	cph	cph	PROPN
iajs-1953	248	82	)	)	PUNCT
iajs-1953	248	83	,	,	PUNCT
iajs-1953	248	84	(	(	PUNCT
iajs-1953	248	85	.	.	PUNCT
iajs-1953	249	1	since	since	SCONJ
iajs-1953	249	2	cphy	cphy	NOUN
iajs-1953	249	3	)	)	PUNCT
iajs-1953	249	4	,	,	PUNCT
iajs-1953	249	5	(	(	PUNCT
iajs-1953	249	6	~~	~~	PROPN
iajs-1953	249	7			NOUN
iajs-1953	249	8			PUNCT
iajs-1953	249	9	~~y	~~y	X
iajs-1953	249	10	(	(	PUNCT
iajs-1953	249	11	1,2)*})~({xclω	1,2)*})~({xclω	NUM
iajs-1953	249	12			NOUN
iajs-1953	249	13	(	(	PUNCT
iajs-1953	249	14	1,2)*})~({xclω	1,2)*})~({xclω	NUM
iajs-1953	249	15	}	}	PUNCT
iajs-1953	249	16	~{x	~{x	PROPN
iajs-1953	249	17	.	.	PUNCT
iajs-1953	249	18	therefore	therefore	ADV
iajs-1953	249	19	}	}	PUNCT
iajs-1953	249	20	~{x	~{x	NOUN
iajs-1953	249	21	is	be	AUX
iajs-1953	249	22	a	a	DET
iajs-1953	249	23	soft	soft	ADJ
iajs-1953	249	24	(	(	PUNCT
iajs-1953	249	25	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	249	26	-	-	PUNCT
iajs-1953	249	27	closed	closed	ADJ
iajs-1953	249	28	set	set	NOUN
iajs-1953	249	29	in	in	ADP
iajs-1953	249	30	u	u	NOUN
iajs-1953	249	31	~	~	PUNCT
iajs-1953	249	32	.	.	PUNCT
iajs-1953	249	33	)	)	PUNCT
iajs-1953	250	1	(	(	PUNCT
iajs-1953	250	2	)	)	PUNCT
iajs-1953	250	3	(	(	PUNCT
iajs-1953	250	4	iiiii	iiiii	PROPN
iajs-1953	250	5			NOUN
iajs-1953	250	6	.	.	PUNCT
iajs-1953	251	1	let	let	VERB
iajs-1953	251	2	uph	uph	PROPN
iajs-1953	251	3	~~	~~	NUM
iajs-1953	251	4	)	)	PUNCT
iajs-1953	251	5	,	,	PUNCT
iajs-1953	251	6	(	(	PUNCT
iajs-1953	251	7			PROPN
iajs-1953	251	8	and	and	CCONJ
iajs-1953	251	9	)	)	PUNCT
iajs-1953	251	10	,	,	PUNCT
iajs-1953	251	11	(	(	PUNCT
iajs-1953	251	12	~~	~~	PUNCT
iajs-1953	251	13	phy	phy	PROPN
iajs-1953	251	14	.	.	PUNCT
iajs-1953	252	1	then	then	ADV
iajs-1953	252	2	cyph	cyph	VERB
iajs-1953	252	3	}	}	PUNCT
iajs-1953	252	4	~{~	~{~	SYM
iajs-1953	252	5	)	)	PUNCT
iajs-1953	252	6	,	,	PUNCT
iajs-1953	252	7	(	(	PUNCT
iajs-1953	252	8			PROPN
iajs-1953	252	9	and	and	CCONJ
iajs-1953	252	10	cy}~	cy}~	VERB
iajs-1953	252	11	{	{	PUNCT
iajs-1953	252	12	is	be	AUX
iajs-1953	252	13	soft	soft	ADJ
iajs-1953	252	14	(	(	PUNCT
iajs-1953	252	15	1,2)*-ωopen	1,2)*-ωopen	NUM
iajs-1953	252	16	in	in	ADP
iajs-1953	252	17	u	u	NOUN
iajs-1953	252	18	~	~	PUNCT
iajs-1953	252	19	.	.	PUNCT
iajs-1953	253	1	hence	hence	ADV
iajs-1953	253	2			NUM
iajs-1953	253	3	)	)	PUNCT
iajs-1953	253	4	,	,	PUNCT
iajs-1953	253	5	(	(	PUNCT
iajs-1953	253	6	ph	ph	NOUN
iajs-1953	253	7	}	}	PUNCT
iajs-1953	253	8	)	)	PUNCT
iajs-1953	253	9	,	,	PUNCT
iajs-1953	253	10	(	(	PUNCT
iajs-1953	253	11	~~:}~	~~:}~	NOUN
iajs-1953	253	12	{	{	PUNCT
iajs-1953	253	13	{	{	PUNCT
iajs-1953	253	14	~	~	PUNCT
iajs-1953	253	15	cc	cc	NOUN
iajs-1953	253	16	phyy	phyy	NOUN
iajs-1953	253	17			PRON
iajs-1953	253	18	is	be	AUX
iajs-1953	253	19	the	the	DET
iajs-1953	253	20	intersection	intersection	NOUN
iajs-1953	253	21	of	of	ADP
iajs-1953	253	22	all	all	DET
iajs-1953	253	23	soft	soft	ADJ
iajs-1953	253	24	(	(	PUNCT
iajs-1953	253	25	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	253	26	-	-	PUNCT
iajs-1953	253	27	open	open	ADJ
iajs-1953	253	28	sets	set	NOUN
iajs-1953	253	29	containing	contain	VERB
iajs-1953	253	30	)	)	PUNCT
iajs-1953	253	31	,	,	PUNCT
iajs-1953	253	32	(	(	PUNCT
iajs-1953	253	33	ph	ph	NOUN
iajs-1953	253	34	.	.	PUNCT
iajs-1953	253	35	)	)	PUNCT
iajs-1953	254	1	(	(	PUNCT
iajs-1953	254	2	)	)	PUNCT
iajs-1953	254	3	(	(	PUNCT
iajs-1953	254	4	iviii	iviii	PROPN
iajs-1953	254	5			NOUN
iajs-1953	254	6	.	.	PUNCT
iajs-1953	255	1	obvious	obvious	ADJ
iajs-1953	255	2	.	.	PUNCT
iajs-1953	255	3	)	)	PUNCT
iajs-1953	256	1	(	(	PUNCT
iajs-1953	256	2	)	)	PUNCT
iajs-1953	256	3	(	(	PUNCT
iajs-1953	256	4	iiv	iiv	PROPN
iajs-1953	256	5			PROPN
iajs-1953	256	6	.	.	PUNCT
iajs-1953	257	1	let	let	VERB
iajs-1953	257	2	xyx	xyx	PROPN
iajs-1953	257	3	~~~,~	~~~,~	PROPN
iajs-1953	257	4			PROPN
iajs-1953	257	5	,	,	PUNCT
iajs-1953	257	6	yx	yx	PROPN
iajs-1953	257	7	~~	~~	PROPN
iajs-1953	257	8			PROPN
iajs-1953	257	9	.	.	PUNCT
iajs-1953	258	1	by	by	ADP
iajs-1953	258	2	our	our	PRON
iajs-1953	258	3	assumption	assumption	NOUN
iajs-1953	258	4	there	there	PRON
iajs-1953	258	5	exist	exist	VERB
iajs-1953	258	6	at	at	ADP
iajs-1953	258	7	least	least	ADJ
iajs-1953	258	8	a	a	DET
iajs-1953	258	9	soft	soft	ADJ
iajs-1953	258	10	(	(	PUNCT
iajs-1953	258	11	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	258	12	-	-	PUNCT
iajs-1953	258	13	open	open	ADJ
iajs-1953	258	14	set	set	NOUN
iajs-1953	258	15	containing	contain	VERB
iajs-1953	258	16	x~	x~	PROPN
iajs-1953	258	17	,	,	PUNCT
iajs-1953	258	18	but	but	CCONJ
iajs-1953	258	19	not	not	PART
iajs-1953	258	20	y~	y~	PROPN
iajs-1953	258	21	and	and	CCONJ
iajs-1953	258	22	also	also	ADV
iajs-1953	258	23	a	a	DET
iajs-1953	258	24	soft	soft	ADJ
iajs-1953	258	25	(	(	PUNCT
iajs-1953	258	26	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	258	27	-	-	PUNCT
iajs-1953	258	28	open	open	ADJ
iajs-1953	258	29	set	set	NOUN
iajs-1953	258	30	containing	contain	VERB
iajs-1953	258	31	y~	y~	PROPN
iajs-1953	258	32	,	,	PUNCT
iajs-1953	258	33	but	but	CCONJ
iajs-1953	258	34	not	not	PART
iajs-1953	258	35	x~	x~	PROPN
iajs-1953	258	36	.	.	PUNCT
iajs-1953	259	1	therefore	therefore	ADV
iajs-1953	259	2	)	)	PUNCT
iajs-1953	259	3	,	,	PUNCT
iajs-1953	259	4	~,~	~,~	NUM
iajs-1953	259	5	,	,	PUNCT
iajs-1953	259	6	(	(	PUNCT
iajs-1953	259	7	21	21	NUM
iajs-1953	259	8	pu	pu	PROPN
iajs-1953	259	9	ττ	ττ	PROPN
iajs-1953	259	10	is	be	AUX
iajs-1953	259	11	a	a	DET
iajs-1953	259	12	soft	soft	ADJ
iajs-1953	259	13	(	(	PUNCT
iajs-1953	259	14	1,2)*-ω1	1,2)*-ω1	NUM
iajs-1953	259	15	~	~	PUNCT
iajs-1953	259	16	t	t	NOUN
iajs-1953	259	17	-space	-space	NOUN
iajs-1953	259	18	.	.	PUNCT
iajs-1953	260	1	similarly	similarly	ADV
iajs-1953	260	2	,	,	PUNCT
iajs-1953	260	3	we	we	PRON
iajs-1953	260	4	can	can	AUX
iajs-1953	260	5	prove	prove	VERB
iajs-1953	260	6	that	that	SCONJ
iajs-1953	260	7	other	other	ADJ
iajs-1953	260	8	cases	case	NOUN
iajs-1953	260	9	.	.	PUNCT
iajs-1953	261	1	theorem	theorem	NOUN
iajs-1953	261	2	(	(	PUNCT
iajs-1953	261	3	2.29	2.29	NUM
iajs-1953	261	4	):	):	PUNCT
iajs-1953	261	5	every	every	DET
iajs-1953	261	6	soft	soft	ADJ
iajs-1953	261	7	bitopological	bitopological	ADJ
iajs-1953	261	8	space	space	NOUN
iajs-1953	261	9	is	be	AUX
iajs-1953	261	10	a	a	DET
iajs-1953	261	11	soft	soft	ADJ
iajs-1953	261	12	(	(	PUNCT
iajs-1953	261	13	1,2)*-ω1	1,2)*-ω1	NUM
iajs-1953	261	14	~	~	PUNCT
iajs-1953	261	15	t	t	PROPN
iajs-1953	261	16	-space	-space	NOUN
iajs-1953	261	17	(	(	PUNCT
iajs-1953	261	18	resp	resp	NOUN
iajs-1953	261	19	.	.	PUNCT
iajs-1953	262	1	soft	soft	ADJ
iajs-1953	262	2	(	(	PUNCT
iajs-1953	262	3	1,2)*α	1,2)*α	NUM
iajs-1953	262	4	-	-	PUNCT
iajs-1953	262	5	ω1	ω1	PROPN
iajs-1953	262	6	~	~	PUNCT
iajs-1953	262	7	t	t	NOUN
iajs-1953	262	8	-space	-space	NOUN
iajs-1953	262	9	,	,	PUNCT
iajs-1953	262	10	soft	soft	ADJ
iajs-1953	262	11	(	(	PUNCT
iajs-1953	262	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	262	13	-	-	PUNCT
iajs-1953	262	14	ω1	ω1	PROPN
iajs-1953	262	15	~	~	PUNCT
iajs-1953	262	16	t	t	NOUN
iajs-1953	262	17	-space	-space	NOUN
iajs-1953	262	18	,	,	PUNCT
iajs-1953	262	19	soft	soft	ADJ
iajs-1953	262	20	(	(	PUNCT
iajs-1953	262	21	1,2)*-b	1,2)*-b	NUM
iajs-1953	262	22	-	-	PUNCT
iajs-1953	262	23	ω1	ω1	PROPN
iajs-1953	262	24	~	~	PUNCT
iajs-1953	262	25	t	t	NOUN
iajs-1953	262	26	-space	-space	NOUN
iajs-1953	262	27	,	,	PUNCT
iajs-1953	262	28	soft	soft	ADJ
iajs-1953	262	29	(	(	PUNCT
iajs-1953	262	30	1,2)*-β	1,2)*-β	NUM
iajs-1953	262	31	-	-	PUNCT
iajs-1953	262	32	ω1	ω1	ADJ
iajs-1953	262	33	~	~	PUNCT
iajs-1953	262	34	t	t	NOUN
iajs-1953	262	35	space	space	NOUN
iajs-1953	262	36	)	)	PUNCT
iajs-1953	262	37	.	.	PUNCT
iajs-1953	263	1	proof	proof	NOUN
iajs-1953	263	2	:	:	PUNCT
iajs-1953	263	3	let	let	VERB
iajs-1953	263	4	)	)	PUNCT
iajs-1953	263	5	,	,	PUNCT
iajs-1953	263	6	~,~	~,~	NUM
iajs-1953	263	7	,	,	PUNCT
iajs-1953	263	8	(	(	PUNCT
iajs-1953	263	9	21	21	NUM
iajs-1953	263	10	pu	pu	NOUN
iajs-1953	263	11	ττ	ττ	NOUN
iajs-1953	263	12	be	be	AUX
iajs-1953	263	13	any	any	DET
iajs-1953	263	14	soft	soft	ADJ
iajs-1953	263	15	bitopological	bitopological	ADJ
iajs-1953	263	16	space	space	NOUN
iajs-1953	263	17	and	and	CCONJ
iajs-1953	263	18	uyx	uyx	NOUN
iajs-1953	263	19	~~~,~	~~~,~	PUNCT
iajs-1953	263	20			NOUN
iajs-1953	263	21	such	such	ADJ
iajs-1953	263	22	that	that	DET
iajs-1953	263	23	yx	yx	PROPN
iajs-1953	263	24	~~	~~	PROPN
iajs-1953	263	25			PROPN
iajs-1953	263	26	.	.	PUNCT
iajs-1953	264	1	since	since	SCONJ
iajs-1953	264	2	}	}	PUNCT
iajs-1953	264	3	~	~	PUNCT
iajs-1953	264	4	{	{	PUNCT
iajs-1953	264	5	~	~	PUNCT
iajs-1953	264	6	xu	xu	X
iajs-1953	264	7			PROPN
iajs-1953	264	8	and	and	CCONJ
iajs-1953	264	9	}	}	PUNCT
iajs-1953	264	10	~	~	PUNCT
iajs-1953	264	11	{	{	PUNCT
iajs-1953	264	12	~	~	PUNCT
iajs-1953	264	13	yu	yu	PROPN
iajs-1953	264	14			PROPN
iajs-1953	264	15	are	be	AUX
iajs-1953	264	16	soft	soft	ADJ
iajs-1953	264	17	(	(	PUNCT
iajs-1953	264	18	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	264	19	-	-	ADJ
iajs-1953	264	20	open	open	ADJ
iajs-1953	264	21	(	(	PUNCT
iajs-1953	264	22	resp	resp	NOUN
iajs-1953	264	23	.	.	PUNCT
iajs-1953	265	1	soft	soft	ADJ
iajs-1953	265	2	(	(	PUNCT
iajs-1953	265	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	265	4	-	-	PUNCT
iajs-1953	265	5	ω	ω	NOUN
iajs-1953	265	6	-	-	ADJ
iajs-1953	265	7	open	open	ADJ
iajs-1953	265	8	,	,	PUNCT
iajs-1953	265	9	soft	soft	ADJ
iajs-1953	265	10	(	(	PUNCT
iajs-1953	265	11	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	265	12	-	-	PUNCT
iajs-1953	265	13	ωopen	ωopen	ADJ
iajs-1953	265	14	,	,	PUNCT
iajs-1953	265	15	soft	soft	ADJ
iajs-1953	265	16	(	(	PUNCT
iajs-1953	265	17	1,2)*-b	1,2)*-b	NUM
iajs-1953	265	18	-	-	PUNCT
iajs-1953	265	19	ω	ω	NOUN
iajs-1953	265	20	-	-	ADJ
iajs-1953	265	21	open	open	ADJ
iajs-1953	265	22	,	,	PUNCT
iajs-1953	265	23	soft	soft	ADJ
iajs-1953	265	24	(	(	PUNCT
iajs-1953	265	25	1,2)*-β	1,2)*-β	NUM
iajs-1953	265	26	-	-	PUNCT
iajs-1953	265	27	ω	ω	NOUN
iajs-1953	265	28	-	-	ADJ
iajs-1953	265	29	open	open	ADJ
iajs-1953	265	30	)	)	PUNCT
iajs-1953	265	31	sets	set	NOUN
iajs-1953	265	32	in	in	ADP
iajs-1953	265	33	u	u	NOUN
iajs-1953	265	34	~	~	PUNCT
iajs-1953	265	35	such	such	ADJ
iajs-1953	265	36	that	that	SCONJ
iajs-1953	265	37	}	}	PUNCT
iajs-1953	265	38	~	~	PUNCT
iajs-1953	265	39	{	{	PUNCT
iajs-1953	265	40	~	~	PUNCT
iajs-1953	265	41	yu	yu	PRON
iajs-1953	265	42			PROPN
iajs-1953	265	43	containing	contain	VERB
iajs-1953	265	44	x~	x~	PROPN
iajs-1953	265	45	,	,	PUNCT
iajs-1953	265	46	but	but	CCONJ
iajs-1953	265	47	not	not	PART
iajs-1953	265	48	y~	y~	PROPN
iajs-1953	265	49	and	and	CCONJ
iajs-1953	265	50	}	}	PUNCT
iajs-1953	265	51	~	~	PUNCT
iajs-1953	265	52	{	{	PUNCT
iajs-1953	265	53	~	~	PUNCT
iajs-1953	265	54	xu	xu	PRON
iajs-1953	265	55			NOUN
iajs-1953	265	56	containing	contain	VERB
iajs-1953	265	57	y~	y~	PROPN
iajs-1953	265	58	,	,	PUNCT
iajs-1953	265	59	but	but	CCONJ
iajs-1953	265	60	not	not	PART
iajs-1953	265	61	x~	x~	PROPN
iajs-1953	265	62	.	.	PUNCT
iajs-1953	266	1	therefore	therefore	ADV
iajs-1953	266	2	)	)	PUNCT
iajs-1953	266	3	,	,	PUNCT
iajs-1953	266	4	~,~	~,~	NUM
iajs-1953	266	5	,	,	PUNCT
iajs-1953	266	6	(	(	PUNCT
iajs-1953	266	7	21	21	NUM
iajs-1953	266	8	pu	pu	PROPN
iajs-1953	266	9	ττ	ττ	PROPN
iajs-1953	266	10	is	be	AUX
iajs-1953	266	11	a	a	DET
iajs-1953	266	12	soft	soft	ADJ
iajs-1953	266	13	(	(	PUNCT
iajs-1953	266	14	1,2)*-ω1	1,2)*-ω1	NUM
iajs-1953	266	15	~	~	PUNCT
iajs-1953	266	16	t	t	PROPN
iajs-1953	266	17	-space	-space	NOUN
iajs-1953	266	18	(	(	PUNCT
iajs-1953	266	19	resp	resp	NOUN
iajs-1953	266	20	.	.	PUNCT
iajs-1953	267	1	soft	soft	ADJ
iajs-1953	267	2	(	(	PUNCT
iajs-1953	267	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	267	4	-	-	PUNCT
iajs-1953	267	5	ω1	ω1	NOUN
iajs-1953	267	6	~	~	PUNCT
iajs-1953	267	7	t	t	NOUN
iajs-1953	267	8	-space	-space	NOUN
iajs-1953	267	9	,	,	PUNCT
iajs-1953	267	10	soft	soft	ADJ
iajs-1953	267	11	(	(	PUNCT
iajs-1953	267	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	267	13	-	-	PUNCT
iajs-1953	267	14	ω1	ω1	PROPN
iajs-1953	267	15	~	~	PUNCT
iajs-1953	267	16	t	t	NOUN
iajs-1953	267	17	-space	-space	NOUN
iajs-1953	267	18	,	,	PUNCT
iajs-1953	267	19	soft	soft	ADJ
iajs-1953	267	20	(	(	PUNCT
iajs-1953	267	21	1,2)*-b	1,2)*-b	NUM
iajs-1953	267	22	-	-	PUNCT
iajs-1953	267	23	ω1	ω1	PROPN
iajs-1953	267	24	~	~	PUNCT
iajs-1953	267	25	t	t	NOUN
iajs-1953	267	26	space	space	NOUN
iajs-1953	267	27	,	,	PUNCT
iajs-1953	267	28	soft	soft	ADJ
iajs-1953	267	29	(	(	PUNCT
iajs-1953	267	30	1,2)*-β	1,2)*-β	NUM
iajs-1953	267	31	-	-	PUNCT
iajs-1953	267	32	ω1	ω1	NOUN
iajs-1953	267	33	~	~	PUNCT
iajs-1953	267	34	t	t	NOUN
iajs-1953	267	35	-space	-space	NOUN
iajs-1953	267	36	)	)	PUNCT
iajs-1953	267	37	.	.	PUNCT
iajs-1953	268	1	corollary	corollary	ADJ
iajs-1953	268	2	(	(	PUNCT
iajs-1953	268	3	2.30	2.30	NUM
iajs-1953	268	4	):	):	PUNCT
iajs-1953	268	5	a	a	DET
iajs-1953	268	6	soft	soft	ADJ
iajs-1953	268	7	bitopological	bitopological	ADJ
iajs-1953	268	8	space	space	NOUN
iajs-1953	268	9	)	)	PUNCT
iajs-1953	268	10	,	,	PUNCT
iajs-1953	268	11	~,~	~,~	NUM
iajs-1953	268	12	,	,	PUNCT
iajs-1953	268	13	(	(	PUNCT
iajs-1953	268	14	21	21	NUM
iajs-1953	268	15	pu	pu	PROPN
iajs-1953	268	16	ττ	ττ	PROPN
iajs-1953	268	17	is	be	AUX
iajs-1953	268	18	a	a	DET
iajs-1953	268	19	soft	soft	ADJ
iajs-1953	268	20	(	(	PUNCT
iajs-1953	268	21	1,2)*-ω1	1,2)*-ω1	NUM
iajs-1953	268	22	~	~	PUNCT
iajs-1953	268	23	t	t	PROPN
iajs-1953	268	24	-space	-space	NOUN
iajs-1953	268	25	(	(	PUNCT
iajs-1953	268	26	resp	resp	NOUN
iajs-1953	268	27	.	.	PUNCT
iajs-1953	269	1	soft	soft	ADJ
iajs-1953	269	2	(	(	PUNCT
iajs-1953	269	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	269	4	-	-	PUNCT
iajs-1953	269	5	ω1	ω1	NOUN
iajs-1953	269	6	~	~	PUNCT
iajs-1953	269	7	t	t	NOUN
iajs-1953	269	8	-space	-space	NOUN
iajs-1953	269	9	,	,	PUNCT
iajs-1953	269	10	soft	soft	ADJ
iajs-1953	269	11	(	(	PUNCT
iajs-1953	269	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	269	13	-	-	PUNCT
iajs-1953	269	14	ω1	ω1	PROPN
iajs-1953	269	15	~	~	PUNCT
iajs-1953	269	16	t	t	NOUN
iajs-1953	269	17	-space	-space	NOUN
iajs-1953	269	18	,	,	PUNCT
iajs-1953	269	19	soft	soft	ADJ
iajs-1953	269	20	(	(	PUNCT
iajs-1953	269	21	1,2)*-b	1,2)*-b	NUM
iajs-1953	269	22	-	-	PUNCT
iajs-1953	269	23	ω1	ω1	PROPN
iajs-1953	269	24	~	~	PUNCT
iajs-1953	269	25	t	t	NOUN
iajs-1953	269	26	-space	-space	NOUN
iajs-1953	269	27	,	,	PUNCT
iajs-1953	269	28	soft	soft	ADJ
iajs-1953	269	29	(	(	PUNCT
iajs-1953	269	30	1,2)*-βω1	1,2)*-βω1	PROPN
iajs-1953	269	31	~	~	PUNCT
iajs-1953	269	32	t	t	NOUN
iajs-1953	269	33	-space	-space	NOUN
iajs-1953	269	34	)	)	PUNCT
iajs-1953	269	35	iff	iff	NOUN
iajs-1953	269	36	it	it	PRON
iajs-1953	269	37	is	be	AUX
iajs-1953	269	38	a	a	DET
iajs-1953	269	39	soft	soft	ADJ
iajs-1953	269	40	(	(	PUNCT
iajs-1953	269	41	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	269	42	1	1	NUM
iajs-1953	269	43	~	~	PUNCT
iajs-1953	269	44	t	t	NOUN
iajs-1953	269	45	-space	-space	NOUN
iajs-1953	269	46	(	(	PUNCT
iajs-1953	269	47	resp	resp	NOUN
iajs-1953	269	48	.	.	PUNCT
iajs-1953	270	1	soft	soft	ADJ
iajs-1953	270	2	(	(	PUNCT
iajs-1953	270	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	270	4	-	-	NUM
iajs-1953	270	5	ω2	ω2	ADJ
iajs-1953	270	6	1	1	NUM
iajs-1953	270	7	~	~	PUNCT
iajs-1953	270	8	t	t	NOUN
iajs-1953	270	9	-space	-space	NOUN
iajs-1953	270	10	,	,	PUNCT
iajs-1953	270	11	soft	soft	ADJ
iajs-1953	270	12	(	(	PUNCT
iajs-1953	270	13	1,2)*pre	1,2)*pre	NUM
iajs-1953	270	14	-	-	ADJ
iajs-1953	270	15	ω2	ω2	ADJ
iajs-1953	270	16	1	1	NUM
iajs-1953	270	17	~	~	PUNCT
iajs-1953	270	18	t	t	NOUN
iajs-1953	270	19	-space	-space	NOUN
iajs-1953	270	20	,	,	PUNCT
iajs-1953	270	21	soft	soft	ADJ
iajs-1953	270	22	(	(	PUNCT
iajs-1953	270	23	1,2)*-b	1,2)*-b	NUM
iajs-1953	270	24	-	-	PUNCT
iajs-1953	270	25	ω2	ω2	ADJ
iajs-1953	270	26	1	1	NUM
iajs-1953	270	27	~	~	PUNCT
iajs-1953	270	28	t	t	NOUN
iajs-1953	270	29	-space	-space	NOUN
iajs-1953	270	30	,	,	PUNCT
iajs-1953	270	31	soft	soft	ADJ
iajs-1953	270	32	(	(	PUNCT
iajs-1953	270	33	1,2)*-β	1,2)*-β	NUM
iajs-1953	270	34	-	-	PUNCT
iajs-1953	270	35	ω2	ω2	ADJ
iajs-1953	270	36	1	1	NUM
iajs-1953	270	37	~	~	PUNCT
iajs-1953	270	38	t	t	NOUN
iajs-1953	270	39	-space	-space	NOUN
iajs-1953	270	40	)	)	PUNCT
iajs-1953	270	41	.	.	PUNCT
iajs-1953	271	1	proof	proof	NOUN
iajs-1953	271	2	:	:	PUNCT
iajs-1953	271	3	it	it	PRON
iajs-1953	271	4	follows	follow	VERB
iajs-1953	271	5	that	that	SCONJ
iajs-1953	271	6	from	from	ADP
iajs-1953	271	7	the	the	DET
iajs-1953	271	8	proposition	proposition	NOUN
iajs-1953	271	9	(	(	PUNCT
iajs-1953	271	10	2.22	2.22	NUM
iajs-1953	271	11	)	)	PUNCT
iajs-1953	271	12	and	and	CCONJ
iajs-1953	271	13	theorem	theorem	VERB
iajs-1953	271	14	(	(	PUNCT
iajs-1953	271	15	2.29	2.29	NUM
iajs-1953	271	16	)	)	PUNCT
iajs-1953	271	17	.	.	PUNCT
iajs-1953	272	1	corollary	corollary	ADJ
iajs-1953	272	2	(	(	PUNCT
iajs-1953	272	3	2.31	2.31	NUM
iajs-1953	272	4	):	):	PUNCT
iajs-1953	272	5	every	every	DET
iajs-1953	272	6	soft	soft	ADJ
iajs-1953	272	7	subspace	subspace	NOUN
iajs-1953	272	8	of	of	ADP
iajs-1953	272	9	a	a	DET
iajs-1953	272	10	soft	soft	ADJ
iajs-1953	272	11	(	(	PUNCT
iajs-1953	272	12	1,2)*-ω1	1,2)*-ω1	NUM
iajs-1953	272	13	~	~	PUNCT
iajs-1953	272	14	t	t	PROPN
iajs-1953	272	15	-space	-space	NOUN
iajs-1953	272	16	(	(	PUNCT
iajs-1953	272	17	resp	resp	NOUN
iajs-1953	272	18	.	.	PUNCT
iajs-1953	273	1	soft	soft	ADJ
iajs-1953	273	2	(	(	PUNCT
iajs-1953	273	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	273	4	-	-	PUNCT
iajs-1953	273	5	ω1	ω1	NOUN
iajs-1953	273	6	~	~	PUNCT
iajs-1953	273	7	t	t	NOUN
iajs-1953	273	8	space	space	NOUN
iajs-1953	273	9	,	,	PUNCT
iajs-1953	273	10	soft	soft	ADJ
iajs-1953	273	11	(	(	PUNCT
iajs-1953	273	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	273	13	-	-	PUNCT
iajs-1953	273	14	ω1	ω1	PROPN
iajs-1953	273	15	~	~	PUNCT
iajs-1953	273	16	t	t	NOUN
iajs-1953	273	17	-space	-space	NOUN
iajs-1953	273	18	,	,	PUNCT
iajs-1953	273	19	soft	soft	ADJ
iajs-1953	273	20	(	(	PUNCT
iajs-1953	273	21	1,2)*-b	1,2)*-b	NUM
iajs-1953	273	22	-	-	PUNCT
iajs-1953	273	23	ω1	ω1	PROPN
iajs-1953	273	24	~	~	PUNCT
iajs-1953	273	25	t	t	NOUN
iajs-1953	273	26	-space	-space	NOUN
iajs-1953	273	27	,	,	PUNCT
iajs-1953	273	28	soft	soft	ADJ
iajs-1953	273	29	(	(	PUNCT
iajs-1953	273	30	1,2)*-β	1,2)*-β	NUM
iajs-1953	273	31	-	-	PUNCT
iajs-1953	273	32	ω1	ω1	NOUN
iajs-1953	273	33	~	~	PUNCT
iajs-1953	273	34	t	t	NOUN
iajs-1953	273	35	-space	-space	NOUN
iajs-1953	273	36	)	)	PUNCT
iajs-1953	273	37	is	be	AUX
iajs-1953	273	38	a	a	DET
iajs-1953	273	39	https://doi.org/10.30526/31.2.19523	https://doi.org/10.30526/31.2.19523	PROPN
iajs-1953	273	40	https://doi.org/10.30526/31.2.1953	https://doi.org/10.30526/31.2.1953	PROPN
iajs-1953	273	41	mathmatics	mathmatics	NOUN
iajs-1953	273	42	|	|	ADV
iajs-1953	273	43	146	146	NUM
iajs-1953	273	44	8201	8201	NUM
iajs-1953	273	45	(	(	PUNCT
iajs-1953	273	46	عام	عام	ADP
iajs-1953	273	47	2العدد	2العدد	NUM
iajs-1953	273	48	)	)	PUNCT
iajs-1953	273	49	13لمجلد	13لمجلد	NUM
iajs-1953	274	1	ا	ا	INTJ
iajs-1953	275	1	مجلة	مجلة	PROPN
iajs-1953	275	2	إبن	إبن	VERB
iajs-1953	275	3	الهيثم	الهيثم	ADJ
iajs-1953	275	4	للعلوم	للعلوم	NOUN
iajs-1953	275	5	الصرفة	الصرفة	NOUN
iajs-1953	276	1	و	و	PRON
iajs-1953	276	2	التطبيقية	التطبيقية	ADJ
iajs-1953	276	3	ibn	ibn	PROPN
iajs-1953	276	4	al	al	PROPN
iajs-1953	276	5	-	-	PUNCT
iajs-1953	276	6	haitham	haitham	PROPN
iajs-1953	276	7	jour	jour	X
iajs-1953	276	8	.	.	PROPN
iajs-1953	276	9	for	for	ADP
iajs-1953	276	10	pure	pure	ADJ
iajs-1953	276	11	&	&	CCONJ
iajs-1953	276	12	appl	appl	PROPN
iajs-1953	276	13	.	.	PUNCT
iajs-1953	277	1	sci	sci	PROPN
iajs-1953	277	2	.	.	PUNCT
iajs-1953	277	3	vol	vol	NOUN
iajs-1953	277	4	.	.	PROPN
iajs-1953	278	1	31	31	NUM
iajs-1953	278	2	(	(	PUNCT
iajs-1953	278	3	2	2	NUM
iajs-1953	278	4	)	)	SYM
iajs-1953	278	5	2018	2018	NUM
iajs-1953	278	6	soft	soft	ADJ
iajs-1953	278	7	(	(	PUNCT
iajs-1953	278	8	1,2)*-ω1	1,2)*-ω1	NUM
iajs-1953	278	9	~	~	PUNCT
iajs-1953	278	10	t	t	PROPN
iajs-1953	278	11	-space	-space	NOUN
iajs-1953	278	12	(	(	PUNCT
iajs-1953	278	13	resp	resp	NOUN
iajs-1953	278	14	.	.	PUNCT
iajs-1953	278	15	soft	soft	ADJ
iajs-1953	278	16	(	(	PUNCT
iajs-1953	278	17	1,2)*-α	1,2)*-α	NUM
iajs-1953	278	18	-	-	PUNCT
iajs-1953	278	19	ω1	ω1	NOUN
iajs-1953	278	20	~	~	PUNCT
iajs-1953	278	21	t	t	NOUN
iajs-1953	278	22	-space	-space	NOUN
iajs-1953	278	23	,	,	PUNCT
iajs-1953	278	24	soft	soft	ADJ
iajs-1953	278	25	(	(	PUNCT
iajs-1953	278	26	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	278	27	-	-	PUNCT
iajs-1953	278	28	ω1	ω1	PROPN
iajs-1953	278	29	~	~	PUNCT
iajs-1953	278	30	t	t	NOUN
iajs-1953	278	31	-space	-space	NOUN
iajs-1953	278	32	,	,	PUNCT
iajs-1953	278	33	soft	soft	ADJ
iajs-1953	278	34	(	(	PUNCT
iajs-1953	278	35	1,2)*-b	1,2)*-b	NUM
iajs-1953	278	36	-	-	PUNCT
iajs-1953	278	37	ω1	ω1	PROPN
iajs-1953	278	38	~	~	PUNCT
iajs-1953	278	39	t	t	NOUN
iajs-1953	278	40	-space	-space	NOUN
iajs-1953	278	41	,	,	PUNCT
iajs-1953	278	42	soft	soft	ADJ
iajs-1953	278	43	(	(	PUNCT
iajs-1953	278	44	1,2)*-β	1,2)*-β	NUM
iajs-1953	278	45	-	-	PUNCT
iajs-1953	278	46	ω1	ω1	NOUN
iajs-1953	278	47	~	~	PUNCT
iajs-1953	278	48	t	t	NOUN
iajs-1953	278	49	-space	-space	NOUN
iajs-1953	278	50	)	)	PUNCT
iajs-1953	278	51	.	.	PUNCT
iajs-1953	279	1	proof	proof	NOUN
iajs-1953	279	2	:	:	PUNCT
iajs-1953	279	3	it	it	PRON
iajs-1953	279	4	follows	follow	VERB
iajs-1953	279	5	that	that	SCONJ
iajs-1953	279	6	from	from	ADP
iajs-1953	279	7	the	the	DET
iajs-1953	279	8	theorem	theorem	NOUN
iajs-1953	279	9	(	(	PUNCT
iajs-1953	279	10	2.29	2.29	NUM
iajs-1953	279	11	)	)	PUNCT
iajs-1953	279	12	.	.	PUNCT
iajs-1953	280	1	proposition	proposition	NOUN
iajs-1953	280	2	(	(	PUNCT
iajs-1953	280	3	2.32	2.32	NUM
iajs-1953	280	4	):	):	PUNCT
iajs-1953	280	5	if	if	SCONJ
iajs-1953	280	6	)	)	PUNCT
iajs-1953	280	7	,	,	PUNCT
iajs-1953	280	8	~	~	PUNCT
iajs-1953	280	9	,	,	PUNCT
iajs-1953	280	10	(	(	PUNCT
iajs-1953	280	11	1	1	NUM
iajs-1953	280	12	pu	pu	PROPN
iajs-1953	280	13	τ	τ	PROPN
iajs-1953	280	14	or	or	CCONJ
iajs-1953	280	15	)	)	PUNCT
iajs-1953	280	16	,	,	PUNCT
iajs-1953	280	17	~	~	PUNCT
iajs-1953	280	18	,	,	PUNCT
iajs-1953	280	19	(	(	PUNCT
iajs-1953	280	20	2	2	NUM
iajs-1953	280	21	pu	pu	PROPN
iajs-1953	280	22	τ	τ	PROPN
iajs-1953	280	23	is	be	AUX
iajs-1953	280	24	a	a	DET
iajs-1953	280	25	soft	soft	ADJ
iajs-1953	280	26	1	1	NUM
iajs-1953	280	27	~	~	PUNCT
iajs-1953	280	28	t	t	NOUN
iajs-1953	280	29	-space	-space	NOUN
iajs-1953	280	30	,	,	PUNCT
iajs-1953	280	31	then	then	ADV
iajs-1953	280	32	)	)	PUNCT
iajs-1953	280	33	,	,	PUNCT
iajs-1953	280	34	~,~	~,~	NUM
iajs-1953	280	35	,	,	PUNCT
iajs-1953	280	36	(	(	PUNCT
iajs-1953	280	37	21	21	NUM
iajs-1953	280	38	pu	pu	PROPN
iajs-1953	280	39	ττ	ττ	PROPN
iajs-1953	280	40	is	be	AUX
iajs-1953	280	41	a	a	DET
iajs-1953	280	42	soft	soft	ADJ
iajs-1953	280	43	(	(	PUNCT
iajs-1953	280	44	1,2)*-ω1	1,2)*-ω1	NUM
iajs-1953	280	45	~	~	PUNCT
iajs-1953	280	46	t	t	PROPN
iajs-1953	280	47	-space	-space	NOUN
iajs-1953	280	48	(	(	PUNCT
iajs-1953	280	49	resp	resp	NOUN
iajs-1953	280	50	.	.	PUNCT
iajs-1953	281	1	soft	soft	ADJ
iajs-1953	281	2	(	(	PUNCT
iajs-1953	281	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	281	4	-	-	PUNCT
iajs-1953	281	5	ω1	ω1	NOUN
iajs-1953	281	6	~	~	PUNCT
iajs-1953	281	7	t	t	NOUN
iajs-1953	281	8	-space	-space	NOUN
iajs-1953	281	9	,	,	PUNCT
iajs-1953	281	10	soft	soft	ADJ
iajs-1953	281	11	(	(	PUNCT
iajs-1953	281	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	281	13	-	-	PUNCT
iajs-1953	281	14	ω1	ω1	PROPN
iajs-1953	281	15	~	~	PUNCT
iajs-1953	281	16	t	t	NOUN
iajs-1953	281	17	-space	-space	NOUN
iajs-1953	281	18	,	,	PUNCT
iajs-1953	281	19	soft	soft	ADJ
iajs-1953	281	20	(	(	PUNCT
iajs-1953	281	21	1,2)*-bω1	1,2)*-bω1	NUM
iajs-1953	281	22	~	~	PUNCT
iajs-1953	281	23	t	t	NOUN
iajs-1953	281	24	-space	-space	NOUN
iajs-1953	281	25	,	,	PUNCT
iajs-1953	281	26	soft	soft	ADJ
iajs-1953	281	27	(	(	PUNCT
iajs-1953	281	28	1,2)*-β	1,2)*-β	NUM
iajs-1953	281	29	-	-	PUNCT
iajs-1953	281	30	ω1	ω1	NOUN
iajs-1953	281	31	~	~	PUNCT
iajs-1953	281	32	t	t	NOUN
iajs-1953	281	33	-space	-space	NOUN
iajs-1953	281	34	)	)	PUNCT
iajs-1953	281	35	.	.	PUNCT
iajs-1953	282	1	proof	proof	NOUN
iajs-1953	282	2	:	:	PUNCT
iajs-1953	282	3	it	it	PRON
iajs-1953	282	4	follows	follow	VERB
iajs-1953	282	5	from	from	ADP
iajs-1953	282	6	the	the	DET
iajs-1953	282	7	fact	fact	NOUN
iajs-1953	282	8	~~	~~	X
iajs-1953	282	9	iτ	iτ	NOUN
iajs-1953	282	10	soft	soft	ADJ
iajs-1953	282	11	21	21	NUM
iajs-1953	282	12	~~	~~	NUM
iajs-1953	282	13	ττ	ττ	NOUN
iajs-1953	282	14	-open	-open	PROPN
iajs-1953	282	15	sets	set	NOUN
iajs-1953	282	16	inu	inu	NOUN
iajs-1953	282	17	~	~	PUNCT
iajs-1953	282	18	,	,	PUNCT
iajs-1953	282	19	2,1i	2,1i	NUM
iajs-1953	282	20	and	and	CCONJ
iajs-1953	282	21	proposition	proposition	NOUN
iajs-1953	282	22	(	(	PUNCT
iajs-1953	282	23	2.25	2.25	NUM
iajs-1953	282	24	)	)	PUNCT
iajs-1953	282	25	.	.	PUNCT
iajs-1953	283	1	remark	remark	NOUN
iajs-1953	283	2	(	(	PUNCT
iajs-1953	283	3	2.33	2.33	NUM
iajs-1953	283	4	):	):	PUNCT
iajs-1953	283	5	the	the	DET
iajs-1953	283	6	converse	converse	NOUN
iajs-1953	283	7	of	of	ADP
iajs-1953	283	8	proposition	proposition	NOUN
iajs-1953	283	9	(	(	PUNCT
iajs-1953	283	10	2.32	2.32	NUM
iajs-1953	283	11	)	)	PUNCT
iajs-1953	283	12	is	be	AUX
iajs-1953	283	13	not	not	PART
iajs-1953	283	14	true	true	ADJ
iajs-1953	283	15	in	in	ADP
iajs-1953	283	16	general	general	ADJ
iajs-1953	283	17	in	in	ADP
iajs-1953	283	18	example	example	NOUN
iajs-1953	283	19	(	(	PUNCT
iajs-1953	283	20	2.27	2.27	NUM
iajs-1953	283	21	)	)	PUNCT
iajs-1953	283	22	)	)	PUNCT
iajs-1953	283	23	,	,	PUNCT
iajs-1953	283	24	~,~	~,~	X
iajs-1953	283	25	,	,	PUNCT
iajs-1953	283	26	(	(	PUNCT
iajs-1953	283	27	21	21	NUM
iajs-1953	283	28	pu	pu	PROPN
iajs-1953	283	29	ττ	ττ	PROPN
iajs-1953	283	30	is	be	AUX
iajs-1953	283	31	a	a	DET
iajs-1953	283	32	soft	soft	ADJ
iajs-1953	283	33	(	(	PUNCT
iajs-1953	283	34	1,2)*-ω1	1,2)*-ω1	NUM
iajs-1953	283	35	~	~	PUNCT
iajs-1953	283	36	t	t	PROPN
iajs-1953	283	37	-space	-space	NOUN
iajs-1953	283	38	(	(	PUNCT
iajs-1953	283	39	resp	resp	NOUN
iajs-1953	283	40	.	.	PUNCT
iajs-1953	284	1	soft	soft	ADJ
iajs-1953	284	2	(	(	PUNCT
iajs-1953	284	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	284	4	-	-	PUNCT
iajs-1953	284	5	ω1	ω1	NOUN
iajs-1953	284	6	~	~	PUNCT
iajs-1953	284	7	t	t	NOUN
iajs-1953	284	8	-space	-space	NOUN
iajs-1953	284	9	,	,	PUNCT
iajs-1953	284	10	soft	soft	ADJ
iajs-1953	284	11	(	(	PUNCT
iajs-1953	284	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	284	13	-	-	PUNCT
iajs-1953	284	14	ω1	ω1	PROPN
iajs-1953	284	15	~	~	PUNCT
iajs-1953	284	16	t	t	NOUN
iajs-1953	284	17	-space	-space	NOUN
iajs-1953	284	18	,	,	PUNCT
iajs-1953	284	19	soft	soft	ADJ
iajs-1953	284	20	(	(	PUNCT
iajs-1953	284	21	1,2)*-b	1,2)*-b	NUM
iajs-1953	284	22	-	-	PUNCT
iajs-1953	284	23	ω1	ω1	PROPN
iajs-1953	284	24	~	~	PUNCT
iajs-1953	284	25	t	t	NOUN
iajs-1953	284	26	-space	-space	NOUN
iajs-1953	284	27	,	,	PUNCT
iajs-1953	284	28	soft	soft	ADJ
iajs-1953	284	29	(	(	PUNCT
iajs-1953	284	30	1,2)*-β	1,2)*-β	NUM
iajs-1953	284	31	-	-	PUNCT
iajs-1953	284	32	ω1	ω1	NOUN
iajs-1953	284	33	~	~	PUNCT
iajs-1953	284	34	t	t	NOUN
iajs-1953	284	35	-space	-space	NOUN
iajs-1953	284	36	)	)	PUNCT
iajs-1953	284	37	,	,	PUNCT
iajs-1953	284	38	but	but	CCONJ
iajs-1953	284	39	both	both	PRON
iajs-1953	284	40	)	)	PUNCT
iajs-1953	284	41	,	,	PUNCT
iajs-1953	284	42	~	~	PUNCT
iajs-1953	284	43	,	,	PUNCT
iajs-1953	284	44	(	(	PUNCT
iajs-1953	284	45	1	1	NUM
iajs-1953	284	46	pu	pu	PROPN
iajs-1953	284	47	τ	τ	PROPN
iajs-1953	284	48	and	and	CCONJ
iajs-1953	284	49	)	)	PUNCT
iajs-1953	284	50	,	,	PUNCT
iajs-1953	285	1	~	~	PUNCT
iajs-1953	285	2	,	,	PUNCT
iajs-1953	285	3	(	(	PUNCT
iajs-1953	285	4	2	2	NUM
iajs-1953	285	5	pu	pu	PROPN
iajs-1953	285	6	τ	τ	PROPN
iajs-1953	285	7	are	be	AUX
iajs-1953	285	8	not	not	PART
iajs-1953	285	9	soft	soft	ADJ
iajs-1953	285	10	1	1	NUM
iajs-1953	285	11	~	~	PUNCT
iajs-1953	285	12	t	t	NOUN
iajs-1953	285	13	-space	-space	NOUN
iajs-1953	285	14	.	.	PUNCT
iajs-1953	286	1	definition	definition	NOUN
iajs-1953	286	2	(	(	PUNCT
iajs-1953	286	3	2.34	2.34	NUM
iajs-1953	286	4	):	):	PUNCT
iajs-1953	286	5	a	a	DET
iajs-1953	286	6	soft	soft	ADJ
iajs-1953	286	7	bitopological	bitopological	ADJ
iajs-1953	286	8	space	space	NOUN
iajs-1953	286	9	)	)	PUNCT
iajs-1953	286	10	,	,	PUNCT
iajs-1953	286	11	~,~	~,~	NUM
iajs-1953	286	12	,	,	PUNCT
iajs-1953	286	13	(	(	PUNCT
iajs-1953	286	14	21	21	NUM
iajs-1953	286	15	pu	pu	PROPN
iajs-1953	286	16	ττ	ττ	PROPN
iajs-1953	286	17	is	be	AUX
iajs-1953	286	18	called	call	VERB
iajs-1953	286	19	a	a	DET
iajs-1953	286	20	soft	soft	ADJ
iajs-1953	286	21	(	(	PUNCT
iajs-1953	286	22	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	286	23	~	~	PUNCT
iajs-1953	286	24	t	t	NOUN
iajs-1953	286	25	-space	-space	NOUN
iajs-1953	286	26	(	(	PUNCT
iajs-1953	286	27	resp	resp	NOUN
iajs-1953	286	28	.	.	PUNCT
iajs-1953	287	1	soft	soft	ADJ
iajs-1953	287	2	(	(	PUNCT
iajs-1953	287	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	287	4	-	-	NUM
iajs-1953	287	5	ω2	ω2	NOUN
iajs-1953	287	6	~	~	PUNCT
iajs-1953	287	7	t	t	NOUN
iajs-1953	287	8	-space	-space	NOUN
iajs-1953	287	9	,	,	PUNCT
iajs-1953	287	10	soft	soft	ADJ
iajs-1953	287	11	(	(	PUNCT
iajs-1953	287	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	287	13	-	-	PUNCT
iajs-1953	287	14	ω2	ω2	NOUN
iajs-1953	287	15	~	~	PUNCT
iajs-1953	287	16	t	t	NOUN
iajs-1953	287	17	-space	-space	NOUN
iajs-1953	287	18	,	,	PUNCT
iajs-1953	287	19	soft	soft	ADJ
iajs-1953	287	20	(	(	PUNCT
iajs-1953	287	21	1,2)*-b	1,2)*-b	NUM
iajs-1953	287	22	-	-	PUNCT
iajs-1953	287	23	ω2	ω2	NOUN
iajs-1953	287	24	~	~	PUNCT
iajs-1953	287	25	t	t	NOUN
iajs-1953	287	26	-space	-space	NOUN
iajs-1953	287	27	,	,	PUNCT
iajs-1953	287	28	soft	soft	ADJ
iajs-1953	287	29	(	(	PUNCT
iajs-1953	287	30	1,2)*-β	1,2)*-β	NUM
iajs-1953	287	31	-	-	PUNCT
iajs-1953	287	32	ω2	ω2	NOUN
iajs-1953	287	33	~	~	PUNCT
iajs-1953	287	34	t	t	NOUN
iajs-1953	287	35	-space	-space	NOUN
iajs-1953	287	36	)	)	PUNCT
iajs-1953	287	37	if	if	SCONJ
iajs-1953	287	38	for	for	ADP
iajs-1953	287	39	any	any	DET
iajs-1953	287	40	two	two	NUM
iajs-1953	287	41	distinct	distinct	ADJ
iajs-1953	287	42	soft	soft	ADJ
iajs-1953	287	43	points	point	NOUN
iajs-1953	287	44	x~	x~	PRON
iajs-1953	287	45	and	and	CCONJ
iajs-1953	287	46	y~	y~	PROPN
iajs-1953	287	47	of	of	ADP
iajs-1953	287	48	u	u	PROPN
iajs-1953	287	49	~	~	PUNCT
iajs-1953	287	50	,	,	PUNCT
iajs-1953	287	51	there	there	PRON
iajs-1953	287	52	are	be	VERB
iajs-1953	287	53	two	two	NUM
iajs-1953	287	54	soft	soft	ADJ
iajs-1953	287	55	(	(	PUNCT
iajs-1953	287	56	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	287	57	-	-	ADJ
iajs-1953	287	58	open	open	ADJ
iajs-1953	287	59	(	(	PUNCT
iajs-1953	287	60	resp	resp	NOUN
iajs-1953	287	61	.	.	PUNCT
iajs-1953	288	1	soft	soft	ADJ
iajs-1953	288	2	(	(	PUNCT
iajs-1953	288	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	288	4	-	-	PUNCT
iajs-1953	288	5	ω	ω	NOUN
iajs-1953	288	6	-	-	ADJ
iajs-1953	288	7	open	open	ADJ
iajs-1953	288	8	,	,	PUNCT
iajs-1953	288	9	soft	soft	ADJ
iajs-1953	288	10	(	(	PUNCT
iajs-1953	288	11	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	288	12	-	-	PUNCT
iajs-1953	288	13	ω	ω	VERB
iajs-1953	288	14	-	-	ADJ
iajs-1953	288	15	open	open	ADJ
iajs-1953	288	16	,	,	PUNCT
iajs-1953	288	17	soft	soft	ADJ
iajs-1953	288	18	(	(	PUNCT
iajs-1953	288	19	1,2)*-b	1,2)*-b	NUM
iajs-1953	288	20	-	-	PUNCT
iajs-1953	288	21	ω	ω	NOUN
iajs-1953	288	22	-	-	ADJ
iajs-1953	288	23	open	open	ADJ
iajs-1953	288	24	,	,	PUNCT
iajs-1953	288	25	soft	soft	ADJ
iajs-1953	288	26	(	(	PUNCT
iajs-1953	288	27	1,2)*-β	1,2)*-β	NUM
iajs-1953	288	28	-	-	PUNCT
iajs-1953	288	29	ω	ω	NOUN
iajs-1953	288	30	-	-	ADJ
iajs-1953	288	31	open	open	ADJ
iajs-1953	288	32	)	)	PUNCT
iajs-1953	288	33	sets	set	NOUN
iajs-1953	288	34	)	)	PUNCT
iajs-1953	288	35	,	,	PUNCT
iajs-1953	288	36	(	(	PUNCT
iajs-1953	288	37	ph	ph	NOUN
iajs-1953	288	38	and	and	CCONJ
iajs-1953	288	39	)	)	PUNCT
iajs-1953	288	40	,	,	PUNCT
iajs-1953	288	41	(	(	PUNCT
iajs-1953	288	42	pk	pk	NOUN
iajs-1953	288	43	in	in	ADP
iajs-1953	288	44	u	u	NOUN
iajs-1953	288	45	~	~	PUNCT
iajs-1953	288	46	such	such	ADJ
iajs-1953	288	47	that	that	PRON
iajs-1953	288	48	)	)	PUNCT
iajs-1953	288	49	,	,	PUNCT
iajs-1953	288	50	(	(	PUNCT
iajs-1953	288	51	~~	~~	NUM
iajs-1953	288	52	phx	phx	ADV
iajs-1953	288	53	,	,	PUNCT
iajs-1953	288	54	)	)	PUNCT
iajs-1953	288	55	,	,	PUNCT
iajs-1953	288	56	(	(	PUNCT
iajs-1953	288	57	~~	~~	NUM
iajs-1953	288	58	pky	pky	NOUN
iajs-1953	288	59	and	and	CCONJ
iajs-1953	288	60	φ~	φ~	NOUN
iajs-1953	288	61	)	)	PUNCT
iajs-1953	288	62	,	,	PUNCT
iajs-1953	288	63	(	(	PUNCT
iajs-1953	288	64	~	~	PUNCT
iajs-1953	288	65	)	)	PUNCT
iajs-1953	288	66	,	,	PUNCT
iajs-1953	288	67	(	(	PUNCT
iajs-1953	288	68	pkph	pkph	PUNCT
iajs-1953	288	69			NOUN
iajs-1953	288	70	.	.	PUNCT
iajs-1953	289	1	proposition	proposition	NOUN
iajs-1953	289	2	(	(	PUNCT
iajs-1953	289	3	2.35	2.35	NUM
iajs-1953	289	4	):	):	PUNCT
iajs-1953	289	5	every	every	PRON
iajs-1953	289	6	soft	soft	ADJ
iajs-1953	289	7	(	(	PUNCT
iajs-1953	289	8	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	289	9	~	~	PUNCT
iajs-1953	289	10	t	t	NOUN
iajs-1953	289	11	-space	-space	NOUN
iajs-1953	289	12	(	(	PUNCT
iajs-1953	289	13	resp	resp	NOUN
iajs-1953	289	14	.	.	PUNCT
iajs-1953	289	15	soft	soft	ADJ
iajs-1953	289	16	(	(	PUNCT
iajs-1953	289	17	1,2)*-α	1,2)*-α	NUM
iajs-1953	289	18	-	-	NUM
iajs-1953	289	19	ω2	ω2	NOUN
iajs-1953	289	20	~	~	PUNCT
iajs-1953	289	21	t	t	NOUN
iajs-1953	289	22	-space	-space	NOUN
iajs-1953	289	23	,	,	PUNCT
iajs-1953	289	24	soft	soft	ADJ
iajs-1953	289	25	(	(	PUNCT
iajs-1953	289	26	1,2	1,2	NUM
iajs-1953	289	27	)	)	PUNCT
iajs-1953	289	28	*	*	PUNCT
iajs-1953	289	29	-pre	-pre	NUM
iajs-1953	289	30	-	-	PUNCT
iajs-1953	289	31	ω2	ω2	NOUN
iajs-1953	289	32	~	~	PUNCT
iajs-1953	289	33	t	t	NOUN
iajs-1953	289	34	-space	-space	NOUN
iajs-1953	289	35	,	,	PUNCT
iajs-1953	289	36	soft	soft	ADJ
iajs-1953	289	37	(	(	PUNCT
iajs-1953	289	38	1,2)*-b	1,2)*-b	NUM
iajs-1953	289	39	-	-	PUNCT
iajs-1953	289	40	ω2	ω2	NOUN
iajs-1953	289	41	~	~	PUNCT
iajs-1953	289	42	t	t	NOUN
iajs-1953	289	43	-space	-space	NOUN
iajs-1953	289	44	,	,	PUNCT
iajs-1953	289	45	soft	soft	ADJ
iajs-1953	289	46	(	(	PUNCT
iajs-1953	289	47	1,2)*-β	1,2)*-β	NUM
iajs-1953	289	48	-	-	PUNCT
iajs-1953	289	49	ω2	ω2	NOUN
iajs-1953	289	50	~	~	PUNCT
iajs-1953	289	51	t	t	NOUN
iajs-1953	289	52	-space	-space	NOUN
iajs-1953	289	53	)	)	PUNCT
iajs-1953	289	54	is	be	AUX
iajs-1953	289	55	a	a	DET
iajs-1953	289	56	soft	soft	ADJ
iajs-1953	289	57	(	(	PUNCT
iajs-1953	289	58	1,2)*-ω1	1,2)*-ω1	NUM
iajs-1953	289	59	~	~	PUNCT
iajs-1953	289	60	t	t	NOUN
iajs-1953	289	61	space	space	NOUN
iajs-1953	289	62	(	(	PUNCT
iajs-1953	289	63	resp	resp	NOUN
iajs-1953	289	64	.	.	PUNCT
iajs-1953	290	1	soft	soft	ADJ
iajs-1953	290	2	(	(	PUNCT
iajs-1953	290	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	290	4	-	-	PUNCT
iajs-1953	290	5	ω1	ω1	NOUN
iajs-1953	290	6	~	~	PUNCT
iajs-1953	290	7	t	t	NOUN
iajs-1953	290	8	-space	-space	NOUN
iajs-1953	290	9	,	,	PUNCT
iajs-1953	290	10	soft	soft	ADJ
iajs-1953	290	11	(	(	PUNCT
iajs-1953	290	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	290	13	-	-	PUNCT
iajs-1953	290	14	ω1	ω1	PROPN
iajs-1953	290	15	~	~	PUNCT
iajs-1953	290	16	t	t	NOUN
iajs-1953	290	17	-space	-space	NOUN
iajs-1953	290	18	,	,	PUNCT
iajs-1953	290	19	soft	soft	ADJ
iajs-1953	290	20	(	(	PUNCT
iajs-1953	290	21	1,2)*-b	1,2)*-b	NUM
iajs-1953	290	22	-	-	PUNCT
iajs-1953	290	23	ω1	ω1	PROPN
iajs-1953	290	24	~	~	PUNCT
iajs-1953	290	25	t	t	NOUN
iajs-1953	290	26	-space	-space	NOUN
iajs-1953	290	27	,	,	PUNCT
iajs-1953	290	28	soft	soft	ADJ
iajs-1953	290	29	(	(	PUNCT
iajs-1953	290	30	1,2)*-β	1,2)*-β	NUM
iajs-1953	290	31	-	-	PUNCT
iajs-1953	290	32	ω1	ω1	NOUN
iajs-1953	290	33	~	~	PUNCT
iajs-1953	290	34	t	t	NOUN
iajs-1953	290	35	-space	-space	NOUN
iajs-1953	290	36	)	)	PUNCT
iajs-1953	290	37	.	.	PUNCT
iajs-1953	291	1	proof	proof	NOUN
iajs-1953	291	2	:	:	PUNCT
iajs-1953	291	3	let	let	VERB
iajs-1953	291	4	uyx	uyx	NOUN
iajs-1953	291	5	~~~,~	~~~,~	PUNCT
iajs-1953	291	6			NOUN
iajs-1953	291	7	,	,	PUNCT
iajs-1953	291	8	yx	yx	PROPN
iajs-1953	291	9	~~	~~	PROPN
iajs-1953	291	10			PROPN
iajs-1953	291	11	.	.	PUNCT
iajs-1953	292	1	by	by	ADP
iajs-1953	292	2	our	our	PRON
iajs-1953	292	3	assumption	assumption	NOUN
iajs-1953	292	4	there	there	PRON
iajs-1953	292	5	are	be	VERB
iajs-1953	292	6	two	two	NUM
iajs-1953	292	7	soft	soft	ADJ
iajs-1953	292	8	(	(	PUNCT
iajs-1953	292	9	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	292	10	-	-	PUNCT
iajs-1953	292	11	open	open	ADJ
iajs-1953	292	12	sets	set	NOUN
iajs-1953	292	13	)	)	PUNCT
iajs-1953	292	14	,	,	PUNCT
iajs-1953	292	15	(	(	PUNCT
iajs-1953	292	16	ph	ph	NOUN
iajs-1953	292	17	and	and	CCONJ
iajs-1953	292	18	)	)	PUNCT
iajs-1953	292	19	,	,	PUNCT
iajs-1953	292	20	(	(	PUNCT
iajs-1953	292	21	pk	pk	NOUN
iajs-1953	292	22	in	in	ADP
iajs-1953	292	23	u	u	NOUN
iajs-1953	292	24	~	~	PUNCT
iajs-1953	292	25	such	such	ADJ
iajs-1953	292	26	that	that	PRON
iajs-1953	292	27	)	)	PUNCT
iajs-1953	292	28	,	,	PUNCT
iajs-1953	292	29	(	(	PUNCT
iajs-1953	292	30	~~	~~	NUM
iajs-1953	292	31	phx	phx	ADV
iajs-1953	292	32	,	,	PUNCT
iajs-1953	292	33	)	)	PUNCT
iajs-1953	292	34	,	,	PUNCT
iajs-1953	292	35	(	(	PUNCT
iajs-1953	292	36	~~	~~	NUM
iajs-1953	292	37	pky	pky	NOUN
iajs-1953	292	38	and	and	CCONJ
iajs-1953	292	39	)	)	PUNCT
iajs-1953	292	40	,	,	PUNCT
iajs-1953	292	41	(	(	PUNCT
iajs-1953	292	42	~	~	PUNCT
iajs-1953	292	43	)	)	PUNCT
iajs-1953	292	44	,	,	PUNCT
iajs-1953	292	45	(	(	PUNCT
iajs-1953	292	46	pkph	pkph	NOUN
iajs-1953	292	47			NOUN
iajs-1953	292	48	φ~	φ~	NOUN
iajs-1953	292	49	.	.	PUNCT
iajs-1953	293	1	thus	thus	ADV
iajs-1953	293	2	)	)	PUNCT
iajs-1953	293	3	,	,	PUNCT
iajs-1953	293	4	(	(	PUNCT
iajs-1953	293	5	ph	ph	NOUN
iajs-1953	293	6	and	and	CCONJ
iajs-1953	293	7	)	)	PUNCT
iajs-1953	293	8	,	,	PUNCT
iajs-1953	293	9	(	(	PUNCT
iajs-1953	293	10	pk	pk	NOUN
iajs-1953	293	11	are	be	AUX
iajs-1953	293	12	soft	soft	ADJ
iajs-1953	293	13	(	(	PUNCT
iajs-1953	293	14	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	293	15	-	-	PUNCT
iajs-1953	293	16	open	open	ADJ
iajs-1953	293	17	sets	set	NOUN
iajs-1953	293	18	in	in	ADP
iajs-1953	293	19	u	u	NOUN
iajs-1953	293	20	~	~	PUNCT
iajs-1953	293	21	such	such	ADJ
iajs-1953	293	22	that	that	PRON
iajs-1953	293	23	)	)	PUNCT
iajs-1953	293	24	,	,	PUNCT
iajs-1953	293	25	(	(	PUNCT
iajs-1953	293	26	ph	ph	NOUN
iajs-1953	293	27	containing	contain	VERB
iajs-1953	293	28	x~	x~	PROPN
iajs-1953	293	29	,	,	PUNCT
iajs-1953	293	30	but	but	CCONJ
iajs-1953	293	31	not	not	PART
iajs-1953	293	32	y~	y~	PROPN
iajs-1953	293	33	and	and	CCONJ
iajs-1953	293	34	)	)	PUNCT
iajs-1953	293	35	,	,	PUNCT
iajs-1953	293	36	(	(	PUNCT
iajs-1953	293	37	pk	pk	NOUN
iajs-1953	293	38	containing	contain	VERB
iajs-1953	293	39	y~	y~	PROPN
iajs-1953	293	40	,	,	PUNCT
iajs-1953	293	41	but	but	CCONJ
iajs-1953	293	42	not	not	PART
iajs-1953	293	43	x~	x~	PROPN
iajs-1953	293	44	.	.	PUNCT
iajs-1953	294	1	therefore	therefore	ADV
iajs-1953	294	2	)	)	PUNCT
iajs-1953	294	3	,	,	PUNCT
iajs-1953	294	4	~,~	~,~	NUM
iajs-1953	294	5	,	,	PUNCT
iajs-1953	294	6	(	(	PUNCT
iajs-1953	294	7	21	21	NUM
iajs-1953	294	8	pu	pu	PROPN
iajs-1953	294	9	ττ	ττ	PROPN
iajs-1953	294	10	is	be	AUX
iajs-1953	294	11	a	a	DET
iajs-1953	294	12	soft	soft	ADJ
iajs-1953	294	13	(	(	PUNCT
iajs-1953	294	14	1,2)*-ω1	1,2)*-ω1	NUM
iajs-1953	294	15	~	~	PUNCT
iajs-1953	294	16	t	t	NOUN
iajs-1953	294	17	-space	-space	NOUN
iajs-1953	294	18	.	.	PUNCT
iajs-1953	295	1	similarly	similarly	ADV
iajs-1953	295	2	,	,	PUNCT
iajs-1953	295	3	we	we	PRON
iajs-1953	295	4	can	can	AUX
iajs-1953	295	5	prove	prove	VERB
iajs-1953	295	6	that	that	SCONJ
iajs-1953	295	7	other	other	ADJ
iajs-1953	295	8	cases	case	NOUN
iajs-1953	295	9	.	.	PUNCT
iajs-1953	296	1	remark	remark	NOUN
iajs-1953	296	2	(	(	PUNCT
iajs-1953	296	3	2.36	2.36	NUM
iajs-1953	296	4	):	):	PUNCT
iajs-1953	296	5	the	the	DET
iajs-1953	296	6	converse	converse	NOUN
iajs-1953	296	7	of	of	ADP
iajs-1953	296	8	proposition	proposition	NOUN
iajs-1953	296	9	(	(	PUNCT
iajs-1953	296	10	2.35	2.35	NUM
iajs-1953	296	11	)	)	PUNCT
iajs-1953	296	12	is	be	AUX
iajs-1953	296	13	not	not	PART
iajs-1953	296	14	true	true	ADJ
iajs-1953	296	15	in	in	ADP
iajs-1953	296	16	general	general	ADJ
iajs-1953	296	17	.	.	PUNCT
iajs-1953	297	1	we	we	PRON
iajs-1953	297	2	see	see	VERB
iajs-1953	297	3	that	that	SCONJ
iajs-1953	297	4	in	in	ADP
iajs-1953	297	5	the	the	DET
iajs-1953	297	6	following	follow	VERB
iajs-1953	297	7	example	example	NOUN
iajs-1953	297	8	:	:	PUNCT
iajs-1953	297	9	example	example	NOUN
iajs-1953	297	10	(	(	PUNCT
iajs-1953	297	11	2.37	2.37	NUM
iajs-1953	297	12	):	):	PUNCT
iajs-1953	297	13	let	let	VERB
iajs-1953	297	14	x	x	PUNCT
iajs-1953	297	15	and	and	CCONJ
iajs-1953	297	16	}	}	PUNCT
iajs-1953	297	17	,	,	PUNCT
iajs-1953	297	18	{	{	PUNCT
iajs-1953	297	19	21	21	NUM
iajs-1953	297	20	ppp	ppp	NOUN
iajs-1953	297	21			NOUN
iajs-1953	297	22	and	and	CCONJ
iajs-1953	297	23	let	let	VERB
iajs-1953	297	24	1	1	NUM
iajs-1953	297	25	~τ	~τ	PUNCT
iajs-1953	297	26	=	=	SYM
iajs-1953	297	27	cphuph	cphuph	PROPN
iajs-1953	297	28	)	)	PUNCT
iajs-1953	297	29	,	,	PUNCT
iajs-1953	297	30	(:	(:	VERB
iajs-1953	297	31	~~	~~	NOUN
iajs-1953	297	32	)	)	PUNCT
iajs-1953	297	33	,	,	PUNCT
iajs-1953	297	34	{	{	PUNCT
iajs-1953	297	35	(	(	PUNCT
iajs-1953	297	36			PROPN
iajs-1953	297	37	is	be	AUX
iajs-1953	297	38	finite}	finite}	ADJ
iajs-1953	297	39	~	~	PUNCT
iajs-1953	297	40	}	}	PUNCT
iajs-1953	297	41	~{φ	~{φ	NOUN
iajs-1953	297	42	and	and	CCONJ
iajs-1953	297	43	}	}	PUNCT
iajs-1953	297	44	~	~	PUNCT
iajs-1953	297	45	,	,	PUNCT
iajs-1953	297	46	~	~	PUNCT
iajs-1953	297	47	{	{	PUNCT
iajs-1953	297	48	~	~	SYM
iajs-1953	297	49	2	2	NUM
iajs-1953	297	50	φτ	φτ	NOUN
iajs-1953	297	51	u	u	NOUN
iajs-1953	297	52	be	be	AUX
iajs-1953	297	53	soft	soft	ADJ
iajs-1953	297	54	topologies	topology	NOUN
iajs-1953	297	55	over	over	ADP
iajs-1953	297	56	u.	u.	NOUN
iajs-1953	297	57	thus	thus	ADV
iajs-1953	297	58	)	)	PUNCT
iajs-1953	297	59	,	,	PUNCT
iajs-1953	297	60	~,~	~,~	NUM
iajs-1953	297	61	,	,	PUNCT
iajs-1953	297	62	(	(	PUNCT
iajs-1953	297	63	21	21	NUM
iajs-1953	297	64	pu	pu	PROPN
iajs-1953	297	65	ττ	ττ	PROPN
iajs-1953	297	66	is	be	AUX
iajs-1953	297	67	a	a	DET
iajs-1953	297	68	soft	soft	ADJ
iajs-1953	297	69	(	(	PUNCT
iajs-1953	297	70	1,2)*-ω1	1,2)*-ω1	NUM
iajs-1953	297	71	~	~	PUNCT
iajs-1953	297	72	t	t	PROPN
iajs-1953	297	73	-space	-space	NOUN
iajs-1953	297	74	(	(	PUNCT
iajs-1953	297	75	resp	resp	NOUN
iajs-1953	297	76	.	.	PUNCT
iajs-1953	298	1	soft	soft	ADJ
iajs-1953	298	2	(	(	PUNCT
iajs-1953	298	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	298	4	-	-	PUNCT
iajs-1953	298	5	ω1	ω1	NOUN
iajs-1953	298	6	~	~	PUNCT
iajs-1953	298	7	t	t	NOUN
iajs-1953	298	8	-space	-space	NOUN
iajs-1953	298	9	,	,	PUNCT
iajs-1953	298	10	soft	soft	ADJ
iajs-1953	298	11	(	(	PUNCT
iajs-1953	298	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	298	13	-	-	PUNCT
iajs-1953	298	14	ω1	ω1	PROPN
iajs-1953	298	15	~	~	PUNCT
iajs-1953	298	16	t	t	NOUN
iajs-1953	298	17	-space	-space	NOUN
iajs-1953	298	18	,	,	PUNCT
iajs-1953	298	19	soft	soft	ADJ
iajs-1953	298	20	(	(	PUNCT
iajs-1953	298	21	1,2)*-b	1,2)*-b	NUM
iajs-1953	298	22	-	-	PUNCT
iajs-1953	298	23	ω1	ω1	PROPN
iajs-1953	298	24	~	~	PUNCT
iajs-1953	298	25	t	t	NOUN
iajs-1953	298	26	-space	-space	NOUN
iajs-1953	298	27	,	,	PUNCT
iajs-1953	298	28	soft	soft	ADJ
iajs-1953	298	29	(	(	PUNCT
iajs-1953	298	30	1,2)*-β	1,2)*-β	NUM
iajs-1953	298	31	-	-	PUNCT
iajs-1953	298	32	ω1	ω1	NOUN
iajs-1953	298	33	~	~	PUNCT
iajs-1953	298	34	t	t	NOUN
iajs-1953	298	35	-space	-space	NOUN
iajs-1953	298	36	)	)	PUNCT
iajs-1953	298	37	,	,	PUNCT
iajs-1953	298	38	clear	clear	ADJ
iajs-1953	298	39	that	that	PRON
iajs-1953	298	40	is	be	AUX
iajs-1953	298	41	not	not	PART
iajs-1953	298	42	soft	soft	ADJ
iajs-1953	298	43	(	(	PUNCT
iajs-1953	298	44	1,2)*-β	1,2)*-β	NUM
iajs-1953	298	45	-	-	PUNCT
iajs-1953	298	46	ω2	ω2	NOUN
iajs-1953	298	47	~	~	PUNCT
iajs-1953	298	48	t	t	NOUN
iajs-1953	298	49	-space	-space	NOUN
iajs-1953	298	50	.	.	PUNCT
iajs-1953	299	1	proposition	proposition	NOUN
iajs-1953	299	2	(	(	PUNCT
iajs-1953	299	3	2.38):(i	2.38):(i	NUM
iajs-1953	299	4	):	):	PUNCT
iajs-1953	299	5	every	every	PRON
iajs-1953	299	6	soft	soft	ADJ
iajs-1953	299	7	(	(	PUNCT
iajs-1953	299	8	1,2)*2	1,2)*2	NUM
iajs-1953	299	9	~	~	SYM
iajs-1953	299	10	t	t	NOUN
iajs-1953	299	11	-space	-space	NOUN
iajs-1953	299	12	is	be	AUX
iajs-1953	299	13	a	a	DET
iajs-1953	299	14	soft	soft	ADJ
iajs-1953	299	15	(	(	PUNCT
iajs-1953	299	16	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	299	17	~	~	PUNCT
iajs-1953	299	18	t	t	NOUN
iajs-1953	299	19	-space	-space	NOUN
iajs-1953	299	20	.	.	PUNCT
iajs-1953	300	1	(	(	PUNCT
iajs-1953	300	2	ii	ii	NOUN
iajs-1953	300	3	)	)	PUNCT
iajs-1953	300	4	every	every	PRON
iajs-1953	300	5	soft	soft	ADJ
iajs-1953	300	6	(	(	PUNCT
iajs-1953	300	7	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	300	8	~	~	PUNCT
iajs-1953	300	9	t	t	NOUN
iajs-1953	300	10	-space	-space	NOUN
iajs-1953	300	11	is	be	AUX
iajs-1953	300	12	a	a	DET
iajs-1953	300	13	soft	soft	ADJ
iajs-1953	300	14	(	(	PUNCT
iajs-1953	300	15	1,2)*-α	1,2)*-α	NUM
iajs-1953	300	16	-	-	NUM
iajs-1953	300	17	ω2	ω2	NOUN
iajs-1953	300	18	~	~	PUNCT
iajs-1953	300	19	t	t	NOUN
iajs-1953	300	20	-space	-space	NOUN
iajs-1953	300	21	.	.	PUNCT
iajs-1953	301	1	(	(	PUNCT
iajs-1953	301	2	iii	iii	X
iajs-1953	301	3	)	)	PUNCT
iajs-1953	301	4	every	every	PRON
iajs-1953	301	5	soft	soft	ADJ
iajs-1953	301	6	(	(	PUNCT
iajs-1953	301	7	1,2)*-α	1,2)*-α	NUM
iajs-1953	301	8	-	-	NUM
iajs-1953	301	9	ω2	ω2	NOUN
iajs-1953	301	10	~	~	PUNCT
iajs-1953	301	11	t	t	NOUN
iajs-1953	301	12	-space	-space	NOUN
iajs-1953	301	13	is	be	AUX
iajs-1953	301	14	a	a	DET
iajs-1953	301	15	soft	soft	ADJ
iajs-1953	301	16	(	(	PUNCT
iajs-1953	301	17	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	301	18	-	-	PUNCT
iajs-1953	301	19	ω2	ω2	NOUN
iajs-1953	301	20	~	~	PUNCT
iajs-1953	301	21	t	t	NOUN
iajs-1953	301	22	-space	-space	NOUN
iajs-1953	301	23	.	.	PUNCT
iajs-1953	302	1	(	(	PUNCT
iajs-1953	302	2	iv	iv	X
iajs-1953	302	3	)	)	PUNCT
iajs-1953	302	4	every	every	PRON
iajs-1953	302	5	soft	soft	ADJ
iajs-1953	302	6	(	(	PUNCT
iajs-1953	302	7	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	302	8	-	-	PUNCT
iajs-1953	302	9	ω2	ω2	NOUN
iajs-1953	302	10	~	~	PUNCT
iajs-1953	302	11	t	t	NOUN
iajs-1953	302	12	-space	-space	NOUN
iajs-1953	302	13	is	be	AUX
iajs-1953	302	14	a	a	DET
iajs-1953	302	15	soft	soft	ADJ
iajs-1953	302	16	(	(	PUNCT
iajs-1953	302	17	1,2)*-b	1,2)*-b	NUM
iajs-1953	302	18	-	-	PUNCT
iajs-1953	302	19	ω2	ω2	NOUN
iajs-1953	302	20	~	~	PUNCT
iajs-1953	302	21	t	t	NOUN
iajs-1953	302	22	-space	-space	NOUN
iajs-1953	302	23	.	.	PUNCT
iajs-1953	303	1	(	(	PUNCT
iajs-1953	303	2	v	v	NOUN
iajs-1953	303	3	)	)	PUNCT
iajs-1953	303	4	every	every	PRON
iajs-1953	303	5	soft	soft	ADJ
iajs-1953	303	6	(	(	PUNCT
iajs-1953	303	7	1,2)*-b	1,2)*-b	NUM
iajs-1953	303	8	-	-	PUNCT
iajs-1953	303	9	ω2	ω2	NOUN
iajs-1953	303	10	~	~	PUNCT
iajs-1953	303	11	t	t	NOUN
iajs-1953	303	12	-space	-space	NOUN
iajs-1953	303	13	is	be	AUX
iajs-1953	303	14	a	a	DET
iajs-1953	303	15	soft	soft	ADJ
iajs-1953	303	16	(	(	PUNCT
iajs-1953	303	17	1,2)*-β	1,2)*-β	NUM
iajs-1953	303	18	-	-	PUNCT
iajs-1953	303	19	ω2	ω2	NOUN
iajs-1953	303	20	~	~	PUNCT
iajs-1953	303	21	t	t	NOUN
iajs-1953	303	22	-space	-space	NOUN
iajs-1953	303	23	.	.	PUNCT
iajs-1953	304	1	remark	remark	NOUN
iajs-1953	304	2	(	(	PUNCT
iajs-1953	304	3	2.39	2.39	NUM
iajs-1953	304	4	):	):	PUNCT
iajs-1953	304	5	the	the	DET
iajs-1953	304	6	converse	converse	NOUN
iajs-1953	304	7	of	of	ADP
iajs-1953	304	8	proposition	proposition	NOUN
iajs-1953	304	9	(	(	PUNCT
iajs-1953	304	10	2.38	2.38	NUM
iajs-1953	304	11	)	)	PUNCT
iajs-1953	304	12	is	be	AUX
iajs-1953	304	13	not	not	PART
iajs-1953	304	14	true	true	ADJ
iajs-1953	304	15	in	in	ADP
iajs-1953	304	16	general	general	ADJ
iajs-1953	304	17	as	as	SCONJ
iajs-1953	304	18	shown	show	VERB
iajs-1953	304	19	by	by	ADP
iajs-1953	304	20	the	the	DET
iajs-1953	304	21	following	follow	VERB
iajs-1953	304	22	examples	example	NOUN
iajs-1953	304	23	:	:	PUNCT
iajs-1953	304	24	https://doi.org/10.30526/31.2.19523	https://doi.org/10.30526/31.2.19523	PROPN
iajs-1953	305	1	https://doi.org/10.30526/31.2.1953	https://doi.org/10.30526/31.2.1953	NUM
iajs-1953	305	2	mathmatics	mathmatics	PROPN
iajs-1953	305	3	|	|	ADV
iajs-1953	305	4	147	147	NUM
iajs-1953	305	5	8201	8201	NUM
iajs-1953	305	6	(	(	PUNCT
iajs-1953	305	7	عام	عام	ADP
iajs-1953	305	8	2العدد	2العدد	NUM
iajs-1953	305	9	)	)	PUNCT
iajs-1953	305	10	13لمجلد	13لمجلد	NUM
iajs-1953	306	1	ا	ا	INTJ
iajs-1953	307	1	مجلة	مجلة	PROPN
iajs-1953	307	2	إبن	إبن	VERB
iajs-1953	307	3	الهيثم	الهيثم	ADJ
iajs-1953	307	4	للعلوم	للعلوم	NOUN
iajs-1953	307	5	الصرفة	الصرفة	NOUN
iajs-1953	308	1	و	و	PRON
iajs-1953	308	2	التطبيقية	التطبيقية	ADJ
iajs-1953	308	3	ibn	ibn	PROPN
iajs-1953	308	4	al	al	PROPN
iajs-1953	308	5	-	-	PUNCT
iajs-1953	308	6	haitham	haitham	PROPN
iajs-1953	308	7	jour	jour	X
iajs-1953	308	8	.	.	PROPN
iajs-1953	308	9	for	for	ADP
iajs-1953	308	10	pure	pure	ADJ
iajs-1953	308	11	&	&	CCONJ
iajs-1953	308	12	appl	appl	PROPN
iajs-1953	308	13	.	.	PUNCT
iajs-1953	309	1	sci	sci	PROPN
iajs-1953	309	2	.	.	PUNCT
iajs-1953	309	3	vol	vol	NOUN
iajs-1953	309	4	.	.	PROPN
iajs-1953	310	1	31	31	NUM
iajs-1953	310	2	(	(	PUNCT
iajs-1953	310	3	2	2	NUM
iajs-1953	310	4	)	)	PUNCT
iajs-1953	310	5	2018	2018	NUM
iajs-1953	310	6	example	example	NOUN
iajs-1953	310	7	(	(	PUNCT
iajs-1953	310	8	2.40	2.40	NUM
iajs-1953	310	9	):	):	PUNCT
iajs-1953	310	10	let	let	VERB
iajs-1953	310	11	}	}	PUNCT
iajs-1953	310	12	,	,	PUNCT
iajs-1953	310	13	,	,	PUNCT
iajs-1953	310	14	{	{	PUNCT
iajs-1953	310	15	cbau	cbau	NOUN
iajs-1953	310	16			NOUN
iajs-1953	310	17	and	and	CCONJ
iajs-1953	310	18	}	}	PUNCT
iajs-1953	310	19	,	,	PUNCT
iajs-1953	310	20	{	{	PUNCT
iajs-1953	310	21	21	21	NUM
iajs-1953	310	22	ppp	ppp	NOUN
iajs-1953	310	23			NOUN
iajs-1953	310	24	and	and	CCONJ
iajs-1953	310	25	let	let	VERB
iajs-1953	310	26	)	)	PUNCT
iajs-1953	310	27	}	}	PUNCT
iajs-1953	310	28	,	,	PUNCT
iajs-1953	310	29	(	(	PUNCT
iajs-1953	310	30	,	,	PUNCT
iajs-1953	310	31	~	~	PROPN
iajs-1953	310	32	,	,	PUNCT
iajs-1953	310	33	~	~	PUNCT
iajs-1953	310	34	{	{	PUNCT
iajs-1953	310	35	~	~	PUNCT
iajs-1953	310	36	11	11	NUM
iajs-1953	310	37	phu	phu	NOUN
iajs-1953	310	38	φτ	φτ	NOUN
iajs-1953	310	39			PROPN
iajs-1953	310	40	and	and	CCONJ
iajs-1953	310	41	,	,	PUNCT
iajs-1953	310	42	~	~	PROPN
iajs-1953	310	43	,	,	PUNCT
iajs-1953	310	44	~	~	PUNCT
iajs-1953	310	45	{	{	PUNCT
iajs-1953	310	46	~	~	SYM
iajs-1953	310	47	2	2	NUM
iajs-1953	310	48	φτ	φτ	NOUN
iajs-1953	310	49	u	u	NOUN
iajs-1953	310	50	)	)	PUNCT
iajs-1953	310	51	}	}	PUNCT
iajs-1953	310	52	,	,	PUNCT
iajs-1953	310	53	(	(	PUNCT
iajs-1953	310	54	2	2	NUM
iajs-1953	310	55	ph	ph	NOUN
iajs-1953	310	56	be	be	AUX
iajs-1953	310	57	soft	soft	ADJ
iajs-1953	310	58	topologies	topology	NOUN
iajs-1953	310	59	over	over	ADP
iajs-1953	310	60	u	u	NOUN
iajs-1953	310	61	,	,	PUNCT
iajs-1953	310	62	where	where	SCONJ
iajs-1953	310	63			NOUN
iajs-1953	310	64	)	)	PUNCT
iajs-1953	310	65	,	,	PUNCT
iajs-1953	310	66	(	(	PUNCT
iajs-1953	310	67	1	1	NUM
iajs-1953	310	68	ph	ph	NOUN
iajs-1953	310	69	}	}	PUNCT
iajs-1953	310	70	)	)	PUNCT
iajs-1953	310	71	}	}	PUNCT
iajs-1953	310	72	{	{	PUNCT
iajs-1953	310	73	,	,	PUNCT
iajs-1953	310	74	(	(	PUNCT
iajs-1953	310	75	}	}	PUNCT
iajs-1953	310	76	)	)	PUNCT
iajs-1953	310	77	,	,	PUNCT
iajs-1953	310	78	,	,	PUNCT
iajs-1953	310	79	{	{	PUNCT
iajs-1953	310	80	,	,	PUNCT
iajs-1953	310	81	{	{	PUNCT
iajs-1953	310	82	(	(	PUNCT
iajs-1953	310	83	21	21	NUM
iajs-1953	310	84	apcap	apcap	NOUN
iajs-1953	310	85	and	and	CCONJ
iajs-1953	310	86			NUM
iajs-1953	310	87	)	)	PUNCT
iajs-1953	310	88	,	,	PUNCT
iajs-1953	310	89	(	(	PUNCT
iajs-1953	310	90	2	2	NUM
iajs-1953	310	91	ph	ph	NOUN
iajs-1953	310	92	}	}	PUNCT
iajs-1953	310	93	)	)	PUNCT
iajs-1953	310	94	}	}	PUNCT
iajs-1953	310	95	,	,	PUNCT
iajs-1953	310	96	{	{	PUNCT
iajs-1953	310	97	,	,	PUNCT
iajs-1953	310	98	(	(	PUNCT
iajs-1953	310	99	}	}	PUNCT
iajs-1953	310	100	)	)	PUNCT
iajs-1953	310	101	,	,	PUNCT
iajs-1953	310	102	{	{	PUNCT
iajs-1953	310	103	,	,	PUNCT
iajs-1953	310	104	{	{	PUNCT
iajs-1953	310	105	(	(	PUNCT
iajs-1953	310	106	21	21	NUM
iajs-1953	310	107	cbpbp	cbpbp	NOUN
iajs-1953	310	108	.	.	PUNCT
iajs-1953	311	1	the	the	DET
iajs-1953	311	2	soft	soft	ADJ
iajs-1953	311	3	sets	set	NOUN
iajs-1953	311	4	in	in	ADP
iajs-1953	311	5	)	)	PUNCT
iajs-1953	311	6	,	,	PUNCT
iajs-1953	311	7	,	,	PUNCT
iajs-1953	311	8	(	(	PUNCT
iajs-1953	311	9	,	,	PUNCT
iajs-1953	311	10	~	~	PROPN
iajs-1953	311	11	,	,	PUNCT
iajs-1953	311	12	~	~	PUNCT
iajs-1953	311	13	{	{	PUNCT
iajs-1953	311	14	1	1	NUM
iajs-1953	311	15	phu	phu	NOUN
iajs-1953	311	16	φ	φ	PROPN
iajs-1953	311	17	)	)	PUNCT
iajs-1953	311	18	}	}	PUNCT
iajs-1953	311	19	,	,	PUNCT
iajs-1953	311	20	(	(	PUNCT
iajs-1953	311	21	2	2	NUM
iajs-1953	311	22	ph	ph	NOUN
iajs-1953	311	23	are	be	AUX
iajs-1953	311	24	soft	soft	ADJ
iajs-1953	311	25	21	21	NUM
iajs-1953	311	26	~~	~~	NUM
iajs-1953	311	27	ττ	ττ	PART
iajs-1953	311	28	-open	-open	PROPN
iajs-1953	311	29	.	.	PUNCT
iajs-1953	312	1	thus	thus	ADV
iajs-1953	312	2	)	)	PUNCT
iajs-1953	312	3	,	,	PUNCT
iajs-1953	312	4	~,~	~,~	NUM
iajs-1953	312	5	,	,	PUNCT
iajs-1953	312	6	(	(	PUNCT
iajs-1953	312	7	21	21	NUM
iajs-1953	312	8	pu	pu	PROPN
iajs-1953	312	9	ττ	ττ	PROPN
iajs-1953	312	10	is	be	AUX
iajs-1953	312	11	a	a	DET
iajs-1953	312	12	soft	soft	ADJ
iajs-1953	312	13	(	(	PUNCT
iajs-1953	312	14	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	312	15	~	~	PUNCT
iajs-1953	312	16	t	t	NOUN
iajs-1953	312	17	-space	-space	NOUN
iajs-1953	312	18	,	,	PUNCT
iajs-1953	312	19	but	but	CCONJ
iajs-1953	312	20	is	be	AUX
iajs-1953	312	21	not	not	PART
iajs-1953	312	22	soft	soft	ADJ
iajs-1953	312	23	(	(	PUNCT
iajs-1953	312	24	1,2)*2	1,2)*2	NUM
iajs-1953	312	25	~	~	PUNCT
iajs-1953	312	26	t	t	NOUN
iajs-1953	312	27	-space	-space	NOUN
iajs-1953	312	28	.	.	PUNCT
iajs-1953	313	1	since	since	SCONJ
iajs-1953	313	2	}	}	PUNCT
iajs-1953	313	3	)	)	PUNCT
iajs-1953	313	4	{	{	PUNCT
iajs-1953	313	5	,	,	PUNCT
iajs-1953	313	6	(	(	PUNCT
iajs-1953	313	7	1	1	NUM
iajs-1953	313	8	ap	ap	PROPN
iajs-1953	313	9	x~	x~	PROPN
iajs-1953	313	10	}	}	PUNCT
iajs-1953	313	11	)	)	PUNCT
iajs-1953	313	12	{	{	PUNCT
iajs-1953	313	13	,	,	PUNCT
iajs-1953	313	14	(	(	PUNCT
iajs-1953	313	15	~	~	SYM
iajs-1953	313	16	2	2	NUM
iajs-1953	313	17	apy	apy	NOUN
iajs-1953	313	18			NUM
iajs-1953	313	19	,	,	PUNCT
iajs-1953	313	20	but	but	CCONJ
iajs-1953	313	21	there	there	PRON
iajs-1953	313	22	exists	exist	VERB
iajs-1953	313	23	no	no	DET
iajs-1953	313	24	soft	soft	ADJ
iajs-1953	313	25	21	21	NUM
iajs-1953	313	26	~~	~~	NUM
iajs-1953	313	27	ττ	ττ	PART
iajs-1953	313	28	-open	-open	PROPN
iajs-1953	313	29	set	set	NOUN
iajs-1953	313	30	)	)	PUNCT
iajs-1953	313	31	,	,	PUNCT
iajs-1953	313	32	(	(	PUNCT
iajs-1953	313	33	1	1	NUM
iajs-1953	313	34	pk	pk	NOUN
iajs-1953	313	35	containing	contain	VERB
iajs-1953	313	36	x~	x~	NOUN
iajs-1953	313	37	and	and	CCONJ
iajs-1953	313	38	soft	soft	ADJ
iajs-1953	313	39	21	21	NUM
iajs-1953	313	40	~~	~~	NUM
iajs-1953	313	41	ττ	ττ	NOUN
iajs-1953	313	42	open	open	ADJ
iajs-1953	313	43	set	set	NOUN
iajs-1953	313	44	)	)	PUNCT
iajs-1953	313	45	,	,	PUNCT
iajs-1953	313	46	(	(	PUNCT
iajs-1953	313	47	2	2	NUM
iajs-1953	313	48	pk	pk	NOUN
iajs-1953	313	49	containing	contain	VERB
iajs-1953	313	50	y~	y~	PROPN
iajs-1953	313	51	such	such	ADJ
iajs-1953	313	52	that	that	SCONJ
iajs-1953	313	53	φ~	φ~	NOUN
iajs-1953	313	54	)	)	PUNCT
iajs-1953	313	55	,	,	PUNCT
iajs-1953	313	56	(	(	PUNCT
iajs-1953	313	57	~	~	PUNCT
iajs-1953	313	58	)	)	PUNCT
iajs-1953	313	59	,	,	PUNCT
iajs-1953	313	60	(	(	PUNCT
iajs-1953	313	61	21	21	NUM
iajs-1953	313	62	pkpk	pkpk	PUNCT
iajs-1953	313	63			PROPN
iajs-1953	313	64	.	.	PUNCT
iajs-1953	314	1	example	example	NOUN
iajs-1953	314	2	(	(	PUNCT
iajs-1953	314	3	2.41	2.41	NUM
iajs-1953	314	4	):	):	PUNCT
iajs-1953	314	5	let	let	VERB
iajs-1953	314	6	u	u	PUNCT
iajs-1953	314	7	and	and	CCONJ
iajs-1953	314	8	}	}	PUNCT
iajs-1953	314	9	{	{	PUNCT
iajs-1953	314	10	pp	pp	ADV
iajs-1953	314	11			NOUN
iajs-1953	314	12	and	and	CCONJ
iajs-1953	314	13	let	let	VERB
iajs-1953	314	14	)	)	PUNCT
iajs-1953	314	15	}	}	PUNCT
iajs-1953	314	16	,	,	PUNCT
iajs-1953	314	17	(	(	PUNCT
iajs-1953	314	18	,	,	PUNCT
iajs-1953	314	19	~	~	PROPN
iajs-1953	314	20	,	,	PUNCT
iajs-1953	314	21	~	~	PUNCT
iajs-1953	314	22	{	{	PUNCT
iajs-1953	314	23	~	~	PUNCT
iajs-1953	314	24	11	11	NUM
iajs-1953	314	25	phu	phu	NOUN
iajs-1953	314	26	φτ	φτ	ADP
iajs-1953	314	27			PROPN
iajs-1953	314	28	and	and	CCONJ
iajs-1953	314	29	2	2	ADP
iajs-1953	314	30	~τ	~τ	PUNCT
iajs-1953	314	31	)	)	PUNCT
iajs-1953	314	32	}	}	PUNCT
iajs-1953	314	33	,	,	PUNCT
iajs-1953	314	34	(	(	PUNCT
iajs-1953	314	35	,	,	PUNCT
iajs-1953	314	36	~	~	PROPN
iajs-1953	314	37	,	,	PUNCT
iajs-1953	314	38	~	~	PUNCT
iajs-1953	314	39	{	{	PUNCT
iajs-1953	314	40	2	2	NUM
iajs-1953	314	41	phu	phu	NOUN
iajs-1953	314	42	φ	φ	PROPN
iajs-1953	314	43	be	be	VERB
iajs-1953	314	44	soft	soft	ADJ
iajs-1953	314	45	topologies	topology	NOUN
iajs-1953	314	46	over	over	ADP
iajs-1953	314	47	u	u	NOUN
iajs-1953	314	48	,	,	PUNCT
iajs-1953	314	49	where	where	SCONJ
iajs-1953	314	50			NOUN
iajs-1953	314	51	)	)	PUNCT
iajs-1953	314	52	,	,	PUNCT
iajs-1953	314	53	(	(	PUNCT
iajs-1953	314	54	1	1	NUM
iajs-1953	314	55	ph	ph	NOUN
iajs-1953	314	56	}	}	PUNCT
iajs-1953	314	57	)	)	PUNCT
iajs-1953	314	58	}	}	PUNCT
iajs-1953	314	59	1	1	X
iajs-1953	314	60	{	{	PUNCT
iajs-1953	314	61	,	,	PUNCT
iajs-1953	314	62	{	{	PUNCT
iajs-1953	314	63	(	(	PUNCT
iajs-1953	314	64	p	p	X
iajs-1953	314	65	,	,	PUNCT
iajs-1953	314	66			NUM
iajs-1953	314	67	)	)	PUNCT
iajs-1953	314	68	,	,	PUNCT
iajs-1953	314	69	(	(	PUNCT
iajs-1953	314	70	2	2	NUM
iajs-1953	314	71	ph	ph	NOUN
iajs-1953	314	72	}	}	PUNCT
iajs-1953	314	73	)	)	PUNCT
iajs-1953	314	74	}	}	PUNCT
iajs-1953	314	75	1{,{(p	1{,{(p	NUM
iajs-1953	314	76	and	and	CCONJ
iajs-1953	314	77			NUM
iajs-1953	314	78	)	)	PUNCT
iajs-1953	314	79	,	,	PUNCT
iajs-1953	314	80	(	(	PUNCT
iajs-1953	314	81	3	3	NUM
iajs-1953	314	82	ph	ph	NOUN
iajs-1953	314	83	}	}	PUNCT
iajs-1953	314	84	)	)	PUNCT
iajs-1953	314	85	}	}	PUNCT
iajs-1953	314	86	1,1	1,1	NUM
iajs-1953	314	87	{	{	PUNCT
iajs-1953	314	88	,	,	PUNCT
iajs-1953	314	89	{	{	PUNCT
iajs-1953	314	90	(	(	PUNCT
iajs-1953	314	91	p	p	PROPN
iajs-1953	314	92	.	.	PUNCT
iajs-1953	315	1	the	the	DET
iajs-1953	315	2	soft	soft	ADJ
iajs-1953	315	3	sets	set	NOUN
iajs-1953	315	4	in	in	ADP
iajs-1953	315	5	)	)	PUNCT
iajs-1953	315	6	,	,	PUNCT
iajs-1953	315	7	,	,	PUNCT
iajs-1953	315	8	(	(	PUNCT
iajs-1953	315	9	,	,	PUNCT
iajs-1953	315	10	~	~	PROPN
iajs-1953	315	11	,	,	PUNCT
iajs-1953	315	12	~	~	PUNCT
iajs-1953	315	13	{	{	PUNCT
iajs-1953	315	14	1	1	NUM
iajs-1953	315	15	phu	phu	NOUN
iajs-1953	315	16	φ	φ	PROPN
iajs-1953	315	17	)	)	PUNCT
iajs-1953	315	18	,	,	PUNCT
iajs-1953	315	19	(	(	PUNCT
iajs-1953	315	20	2	2	NUM
iajs-1953	315	21	ph	ph	NOUN
iajs-1953	315	22	,	,	PUNCT
iajs-1953	315	23	)	)	PUNCT
iajs-1953	315	24	}	}	PUNCT
iajs-1953	315	25	,	,	PUNCT
iajs-1953	315	26	(	(	PUNCT
iajs-1953	315	27	3	3	NUM
iajs-1953	315	28	ph	ph	NOUN
iajs-1953	315	29	are	be	AUX
iajs-1953	315	30	soft	soft	ADJ
iajs-1953	315	31	21	21	NUM
iajs-1953	315	32	~~	~~	NUM
iajs-1953	315	33	ττ	ττ	PART
iajs-1953	315	34	-open	-open	PROPN
iajs-1953	315	35	.	.	PUNCT
iajs-1953	316	1	thus	thus	ADV
iajs-1953	316	2	)	)	PUNCT
iajs-1953	316	3	,	,	PUNCT
iajs-1953	316	4	~,~	~,~	NUM
iajs-1953	316	5	,	,	PUNCT
iajs-1953	316	6	(	(	PUNCT
iajs-1953	316	7	21	21	NUM
iajs-1953	316	8	pu	pu	PROPN
iajs-1953	316	9	ττ	ττ	PROPN
iajs-1953	316	10	is	be	AUX
iajs-1953	316	11	a	a	DET
iajs-1953	316	12	soft	soft	ADJ
iajs-1953	316	13	(	(	PUNCT
iajs-1953	316	14	1,2)*-α	1,2)*-α	NUM
iajs-1953	316	15	-	-	NUM
iajs-1953	316	16	ω2	ω2	NOUN
iajs-1953	316	17	~	~	PUNCT
iajs-1953	316	18	t	t	NOUN
iajs-1953	316	19	-space	-space	NOUN
iajs-1953	316	20	,	,	PUNCT
iajs-1953	316	21	clear	clear	ADJ
iajs-1953	316	22	that	that	PRON
iajs-1953	316	23	is	be	AUX
iajs-1953	316	24	not	not	PART
iajs-1953	316	25	soft	soft	ADJ
iajs-1953	316	26	(	(	PUNCT
iajs-1953	316	27	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	316	28	~	~	PUNCT
iajs-1953	316	29	t	t	NOUN
iajs-1953	316	30	-space	-space	NOUN
iajs-1953	316	31	.	.	PUNCT
iajs-1953	317	1	example	example	NOUN
iajs-1953	317	2	(	(	PUNCT
iajs-1953	317	3	2.42	2.42	NUM
iajs-1953	317	4	):	):	PUNCT
iajs-1953	317	5	let	let	VERB
iajs-1953	317	6	u	u	PUNCT
iajs-1953	317	7	and	and	CCONJ
iajs-1953	317	8	}	}	PUNCT
iajs-1953	317	9	{	{	PUNCT
iajs-1953	317	10	pp	pp	ADV
iajs-1953	317	11			NOUN
iajs-1953	317	12	and	and	CCONJ
iajs-1953	317	13	let	let	VERB
iajs-1953	317	14	)	)	PUNCT
iajs-1953	317	15	}	}	PUNCT
iajs-1953	317	16	,	,	PUNCT
iajs-1953	317	17	(	(	PUNCT
iajs-1953	317	18	,	,	PUNCT
iajs-1953	317	19	~	~	PROPN
iajs-1953	317	20	,	,	PUNCT
iajs-1953	317	21	~	~	PUNCT
iajs-1953	317	22	{	{	PUNCT
iajs-1953	317	23	~	~	SYM
iajs-1953	317	24	1	1	NUM
iajs-1953	317	25	phu	phu	NOUN
iajs-1953	317	26	φτ	φτ	NOUN
iajs-1953	317	27			NOUN
iajs-1953	317	28	and	and	CCONJ
iajs-1953	317	29	}	}	PUNCT
iajs-1953	317	30	~	~	PUNCT
iajs-1953	317	31	,	,	PUNCT
iajs-1953	317	32	~	~	PUNCT
iajs-1953	317	33	{	{	PUNCT
iajs-1953	317	34	~	~	SYM
iajs-1953	317	35	2	2	NUM
iajs-1953	317	36	φτ	φτ	NOUN
iajs-1953	317	37	u	u	NOUN
iajs-1953	317	38	be	be	AUX
iajs-1953	317	39	soft	soft	ADJ
iajs-1953	317	40	topologies	topology	NOUN
iajs-1953	317	41	over	over	ADP
iajs-1953	317	42	u	u	NOUN
iajs-1953	317	43	,	,	PUNCT
iajs-1953	317	44	where	where	SCONJ
iajs-1953	317	45			NOUN
iajs-1953	317	46	)	)	PUNCT
iajs-1953	317	47	,	,	PUNCT
iajs-1953	317	48	(	(	PUNCT
iajs-1953	317	49	ph	ph	NOUN
iajs-1953	317	50	}	}	PUNCT
iajs-1953	317	51	)	)	PUNCT
iajs-1953	317	52	}	}	PUNCT
iajs-1953	317	53	1{,{(p	1{,{(p	NUM
iajs-1953	317	54	.	.	PUNCT
iajs-1953	318	1	the	the	DET
iajs-1953	318	2	soft	soft	ADJ
iajs-1953	318	3	sets	set	NOUN
iajs-1953	318	4	in	in	ADP
iajs-1953	318	5	)	)	PUNCT
iajs-1953	318	6	}	}	PUNCT
iajs-1953	318	7	,	,	PUNCT
iajs-1953	318	8	(	(	PUNCT
iajs-1953	318	9	,	,	PUNCT
iajs-1953	318	10	~	~	PROPN
iajs-1953	318	11	,	,	PUNCT
iajs-1953	318	12	~	~	PUNCT
iajs-1953	318	13	{	{	PUNCT
iajs-1953	318	14	phu	phu	PROPN
iajs-1953	318	15	φ	φ	PROPN
iajs-1953	318	16	are	be	AUX
iajs-1953	318	17	soft	soft	ADJ
iajs-1953	318	18	21	21	NUM
iajs-1953	318	19	~~	~~	NUM
iajs-1953	318	20	ττ	ττ	NOUN
iajs-1953	318	21	open	open	ADJ
iajs-1953	318	22	.	.	PUNCT
iajs-1953	319	1	thus	thus	ADV
iajs-1953	319	2	)	)	PUNCT
iajs-1953	319	3	,	,	PUNCT
iajs-1953	319	4	~,~	~,~	NUM
iajs-1953	319	5	,	,	PUNCT
iajs-1953	319	6	(	(	PUNCT
iajs-1953	319	7	21	21	NUM
iajs-1953	319	8	pu	pu	PROPN
iajs-1953	319	9	ττ	ττ	PROPN
iajs-1953	319	10	is	be	AUX
iajs-1953	319	11	a	a	DET
iajs-1953	319	12	soft	soft	ADJ
iajs-1953	319	13	(	(	PUNCT
iajs-1953	319	14	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	319	15	-	-	PUNCT
iajs-1953	319	16	ω2	ω2	NOUN
iajs-1953	319	17	~	~	PUNCT
iajs-1953	319	18	t	t	NOUN
iajs-1953	319	19	-space	-space	NOUN
iajs-1953	319	20	,	,	PUNCT
iajs-1953	319	21	but	but	CCONJ
iajs-1953	319	22	is	be	AUX
iajs-1953	319	23	not	not	PART
iajs-1953	319	24	soft	soft	ADJ
iajs-1953	319	25	(	(	PUNCT
iajs-1953	319	26	1,2)*-α	1,2)*-α	NUM
iajs-1953	319	27	-	-	NUM
iajs-1953	319	28	ω2	ω2	NOUN
iajs-1953	319	29	~	~	PUNCT
iajs-1953	319	30	t	t	NOUN
iajs-1953	319	31	-space	-space	NOUN
iajs-1953	319	32	.	.	PUNCT
iajs-1953	320	1	since	since	SCONJ
iajs-1953	320	2	}	}	PUNCT
iajs-1953	320	3	)	)	PUNCT
iajs-1953	320	4	2{,(p	2{,(p	PROPN
iajs-1953	320	5			NUM
iajs-1953	320	6	yx	yx	PROPN
iajs-1953	320	7	~~	~~	NUM
iajs-1953	320	8	}	}	PUNCT
iajs-1953	320	9	)	)	PUNCT
iajs-1953	320	10	3{,(p	3{,(p	PROPN
iajs-1953	320	11	,	,	PUNCT
iajs-1953	320	12	but	but	CCONJ
iajs-1953	320	13	there	there	PRON
iajs-1953	320	14	exists	exist	VERB
iajs-1953	320	15	no	no	DET
iajs-1953	320	16	a	a	DET
iajs-1953	320	17	soft	soft	ADJ
iajs-1953	320	18	(	(	PUNCT
iajs-1953	320	19	1,2)*-α	1,2)*-α	NUM
iajs-1953	320	20	-	-	PUNCT
iajs-1953	320	21	ω	ω	VERB
iajs-1953	320	22	-	-	ADJ
iajs-1953	320	23	open	open	ADJ
iajs-1953	320	24	set	set	NOUN
iajs-1953	320	25	)	)	PUNCT
iajs-1953	320	26	,	,	PUNCT
iajs-1953	320	27	(	(	PUNCT
iajs-1953	320	28	1	1	NUM
iajs-1953	320	29	pk	pk	NOUN
iajs-1953	320	30	containing	contain	VERB
iajs-1953	320	31	x~	x~	PROPN
iajs-1953	320	32	and	and	CCONJ
iajs-1953	320	33	a	a	DET
iajs-1953	320	34	soft	soft	ADJ
iajs-1953	320	35	(	(	PUNCT
iajs-1953	320	36	1,2)*-α	1,2)*-α	NUM
iajs-1953	320	37	-	-	PUNCT
iajs-1953	320	38	ω	ω	VERB
iajs-1953	320	39	-	-	ADJ
iajs-1953	320	40	open	open	ADJ
iajs-1953	320	41	set	set	NOUN
iajs-1953	320	42	)	)	PUNCT
iajs-1953	320	43	,	,	PUNCT
iajs-1953	320	44	(	(	PUNCT
iajs-1953	320	45	2	2	NUM
iajs-1953	320	46	pk	pk	NOUN
iajs-1953	320	47	containing	contain	VERB
iajs-1953	320	48	y~	y~	PROPN
iajs-1953	320	49	such	such	ADJ
iajs-1953	320	50	that	that	PRON
iajs-1953	320	51			PROPN
iajs-1953	320	52	~	~	PUNCT
iajs-1953	320	53	)	)	PUNCT
iajs-1953	320	54	,	,	PUNCT
iajs-1953	320	55	(	(	PUNCT
iajs-1953	320	56	1	1	NUM
iajs-1953	320	57	pk	pk	NOUN
iajs-1953	320	58	φ~	φ~	NOUN
iajs-1953	320	59	)	)	PUNCT
iajs-1953	320	60	,	,	PUNCT
iajs-1953	320	61	(	(	PUNCT
iajs-1953	320	62	2	2	NUM
iajs-1953	320	63	pk	pk	NOUN
iajs-1953	320	64	.	.	PUNCT
iajs-1953	321	1	theorem	theorem	NOUN
iajs-1953	321	2	(	(	PUNCT
iajs-1953	321	3	2.43	2.43	NUM
iajs-1953	321	4	):	):	PUNCT
iajs-1953	321	5	for	for	ADP
iajs-1953	321	6	a	a	DET
iajs-1953	321	7	soft	soft	ADJ
iajs-1953	321	8	bitopological	bitopological	ADJ
iajs-1953	321	9	space	space	NOUN
iajs-1953	321	10	)	)	PUNCT
iajs-1953	321	11	,	,	PUNCT
iajs-1953	321	12	~,~	~,~	NUM
iajs-1953	321	13	,	,	PUNCT
iajs-1953	321	14	(	(	PUNCT
iajs-1953	321	15	21	21	NUM
iajs-1953	321	16	pu	pu	NOUN
iajs-1953	321	17	ττ	ττ	VERB
iajs-1953	321	18	the	the	DET
iajs-1953	321	19	following	follow	VERB
iajs-1953	321	20	statements	statement	NOUN
iajs-1953	321	21	are	be	AUX
iajs-1953	321	22	equivalent	equivalent	ADJ
iajs-1953	321	23	.	.	PUNCT
iajs-1953	322	1	(	(	PUNCT
iajs-1953	322	2	i	i	NOUN
iajs-1953	322	3	)	)	PUNCT
iajs-1953	322	4	)	)	PUNCT
iajs-1953	322	5	,	,	PUNCT
iajs-1953	322	6	~,~	~,~	X
iajs-1953	322	7	,	,	PUNCT
iajs-1953	322	8	(	(	PUNCT
iajs-1953	322	9	21	21	NUM
iajs-1953	322	10	pu	pu	PROPN
iajs-1953	322	11	ττ	ττ	PROPN
iajs-1953	322	12	is	be	AUX
iajs-1953	322	13	a	a	DET
iajs-1953	322	14	soft	soft	ADJ
iajs-1953	322	15	(	(	PUNCT
iajs-1953	322	16	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	322	17	~	~	PUNCT
iajs-1953	322	18	t	t	NOUN
iajs-1953	322	19	-space	-space	NOUN
iajs-1953	322	20	(	(	PUNCT
iajs-1953	322	21	resp	resp	NOUN
iajs-1953	322	22	.	.	PUNCT
iajs-1953	323	1	soft	soft	ADJ
iajs-1953	323	2	(	(	PUNCT
iajs-1953	323	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	323	4	-	-	NUM
iajs-1953	323	5	ω2	ω2	NOUN
iajs-1953	323	6	~	~	PUNCT
iajs-1953	323	7	t	t	NOUN
iajs-1953	323	8	-space	-space	NOUN
iajs-1953	323	9	,	,	PUNCT
iajs-1953	323	10	soft	soft	ADJ
iajs-1953	323	11	(	(	PUNCT
iajs-1953	323	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	323	13	ω2	ω2	NOUN
iajs-1953	323	14	~	~	PUNCT
iajs-1953	323	15	t	t	NOUN
iajs-1953	323	16	-space	-space	NOUN
iajs-1953	323	17	,	,	PUNCT
iajs-1953	323	18	soft	soft	ADJ
iajs-1953	323	19	(	(	PUNCT
iajs-1953	323	20	1,2)*-b	1,2)*-b	NUM
iajs-1953	323	21	-	-	PUNCT
iajs-1953	323	22	ω2	ω2	NOUN
iajs-1953	323	23	~	~	PUNCT
iajs-1953	323	24	t	t	NOUN
iajs-1953	323	25	-space	-space	NOUN
iajs-1953	323	26	,	,	PUNCT
iajs-1953	323	27	soft	soft	ADJ
iajs-1953	323	28	(	(	PUNCT
iajs-1953	323	29	1,2)*-β	1,2)*-β	NUM
iajs-1953	323	30	-	-	PUNCT
iajs-1953	323	31	ω2	ω2	NOUN
iajs-1953	323	32	~	~	PUNCT
iajs-1953	323	33	t	t	NOUN
iajs-1953	323	34	-space	-space	NOUN
iajs-1953	323	35	)	)	PUNCT
iajs-1953	323	36	(	(	PUNCT
iajs-1953	323	37	ii	ii	NOUN
iajs-1953	323	38	)	)	PUNCT
iajs-1953	323	39	if	if	SCONJ
iajs-1953	323	40	ux	ux	PROPN
iajs-1953	323	41	~~~	~~~	PUNCT
iajs-1953	323	42	,	,	PUNCT
iajs-1953	323	43	then	then	ADV
iajs-1953	323	44	for	for	ADP
iajs-1953	323	45	each	each	PRON
iajs-1953	323	46	xy	xy	PROPN
iajs-1953	323	47	~~	~~	PROPN
iajs-1953	323	48			NOUN
iajs-1953	323	49	,	,	PUNCT
iajs-1953	323	50	there	there	PRON
iajs-1953	323	51	is	be	VERB
iajs-1953	323	52	a	a	DET
iajs-1953	323	53	soft	soft	ADJ
iajs-1953	323	54	(	(	PUNCT
iajs-1953	323	55	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	323	56	-	-	PUNCT
iajs-1953	323	57	neighborhood	neighborhood	NOUN
iajs-1953	323	58	(	(	PUNCT
iajs-1953	323	59	resp	resp	NOUN
iajs-1953	323	60	.	.	PUNCT
iajs-1953	324	1	soft	soft	ADJ
iajs-1953	324	2	(	(	PUNCT
iajs-1953	324	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	324	4	ω	ω	NUM
iajs-1953	324	5	-	-	PUNCT
iajs-1953	324	6	neighborhood	neighborhood	NOUN
iajs-1953	324	7	,	,	PUNCT
iajs-1953	324	8	soft	soft	ADJ
iajs-1953	324	9	(	(	PUNCT
iajs-1953	324	10	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	324	11	-	-	PUNCT
iajs-1953	324	12	ω	ω	NOUN
iajs-1953	324	13	-	-	PUNCT
iajs-1953	324	14	neighborhood	neighborhood	NOUN
iajs-1953	324	15	,	,	PUNCT
iajs-1953	324	16	soft	soft	ADJ
iajs-1953	324	17	(	(	PUNCT
iajs-1953	324	18	1,2)*-b	1,2)*-b	NUM
iajs-1953	324	19	-	-	PUNCT
iajs-1953	324	20	ω	ω	NOUN
iajs-1953	324	21	-	-	PUNCT
iajs-1953	324	22	neighborhood	neighborhood	NOUN
iajs-1953	324	23	,	,	PUNCT
iajs-1953	324	24	soft	soft	ADJ
iajs-1953	324	25	(	(	PUNCT
iajs-1953	324	26	1,2)*-β	1,2)*-β	NUM
iajs-1953	324	27	-	-	PUNCT
iajs-1953	324	28	ω	ω	NOUN
iajs-1953	324	29	-	-	PUNCT
iajs-1953	324	30	neighborhood	neighborhood	NOUN
iajs-1953	324	31	)	)	PUNCT
iajs-1953	324	32	)	)	PUNCT
iajs-1953	325	1	,	,	PUNCT
iajs-1953	325	2	(	(	PUNCT
iajs-1953	325	3	pn	pn	X
iajs-1953	325	4	of	of	ADP
iajs-1953	325	5	x~	x~	PROPN
iajs-1953	325	6	such	such	ADJ
iajs-1953	325	7	that	that	DET
iajs-1953	325	8			PUNCT
iajs-1953	325	9	~~y	~~y	X
iajs-1953	325	10	(	(	PUNCT
iajs-1953	325	11	1,2	1,2	NUM
iajs-1953	325	12	)	)	PUNCT
iajs-1953	325	13	*	*	PUNCT
iajs-1953	325	14	)	)	PUNCT
iajs-1953	325	15	,	,	PUNCT
iajs-1953	325	16	(	(	PUNCT
iajs-1953	325	17	pnclω	pnclω	PROPN
iajs-1953	325	18	(	(	PUNCT
iajs-1953	325	19	resp	resp	NOUN
iajs-1953	325	20	.	.	PUNCT
iajs-1953	325	21			PUNCT
iajs-1953	326	1	~~y	~~y	X
iajs-1953	326	2	(	(	PUNCT
iajs-1953	326	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	326	4	)	)	PUNCT
iajs-1953	326	5	,	,	PUNCT
iajs-1953	326	6	(	(	PUNCT
iajs-1953	326	7	pnclω	pnclω	NOUN
iajs-1953	326	8	,	,	PUNCT
iajs-1953	326	9			PUNCT
iajs-1953	326	10	~~y	~~y	X
iajs-1953	326	11	(	(	PUNCT
iajs-1953	326	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	326	13	)	)	PUNCT
iajs-1953	326	14	,	,	PUNCT
iajs-1953	326	15	(	(	PUNCT
iajs-1953	326	16	pnclω	pnclω	NOUN
iajs-1953	326	17	,	,	PUNCT
iajs-1953	326	18			PUNCT
iajs-1953	327	1	~~y	~~y	X
iajs-1953	327	2	(	(	PUNCT
iajs-1953	327	3	1,2)*-b	1,2)*-b	NUM
iajs-1953	327	4	)	)	PUNCT
iajs-1953	327	5	,	,	PUNCT
iajs-1953	327	6	(	(	PUNCT
iajs-1953	327	7	pnclω	pnclω	NOUN
iajs-1953	327	8	,	,	PUNCT
iajs-1953	327	9			PROPN
iajs-1953	327	10	~~y	~~y	X
iajs-1953	327	11	(	(	PUNCT
iajs-1953	327	12	1,2)*-β	1,2)*-β	NOUN
iajs-1953	327	13	)	)	PUNCT
iajs-1953	327	14	,	,	PUNCT
iajs-1953	327	15	(	(	PUNCT
iajs-1953	327	16	pnclω	pnclω	PROPN
iajs-1953	327	17	)	)	PUNCT
iajs-1953	327	18	.	.	PUNCT
iajs-1953	328	1	(	(	PUNCT
iajs-1953	328	2	iii	iii	X
iajs-1953	328	3	)	)	PUNCT
iajs-1953	328	4	for	for	ADP
iajs-1953	328	5	each	each	PRON
iajs-1953	328	6	ux	ux	X
iajs-1953	328	7	~~~	~~~	PUNCT
iajs-1953	328	8	,	,	PUNCT
iajs-1953	328	9	{	{	PUNCT
iajs-1953	328	10	~	~	PUNCT
iajs-1953	328	11			X
iajs-1953	328	12	(	(	PUNCT
iajs-1953	328	13	1,2	1,2	NUM
iajs-1953	328	14	)	)	PUNCT
iajs-1953	328	15	*	*	PUNCT
iajs-1953	328	16	:)	:)	NOUN
iajs-1953	328	17	,	,	PUNCT
iajs-1953	328	18	(	(	PUNCT
iajs-1953	328	19	pnclω	pnclω	PROPN
iajs-1953	328	20	)	)	PUNCT
iajs-1953	328	21	,	,	PUNCT
iajs-1953	328	22	(	(	PUNCT
iajs-1953	328	23	pn	pn	PROPN
iajs-1953	328	24	is	be	AUX
iajs-1953	328	25	a	a	DET
iajs-1953	328	26	soft	soft	ADJ
iajs-1953	328	27	(	(	PUNCT
iajs-1953	328	28	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	328	29	-	-	PUNCT
iajs-1953	328	30	neighborhood	neighborhood	NOUN
iajs-1953	328	31	of	of	ADP
iajs-1953	328	32	x~	x~	NOUN
iajs-1953	328	33	}	}	PUNCT
iajs-1953	328	34	(	(	PUNCT
iajs-1953	328	35	resp	resp	NOUN
iajs-1953	328	36	.	.	PUNCT
iajs-1953	329	1	{	{	PUNCT
iajs-1953	329	2	~	~	PUNCT
iajs-1953	329	3			X
iajs-1953	329	4	(	(	PUNCT
iajs-1953	329	5	1,2)*-α	1,2)*-α	NUM
iajs-1953	329	6	:)	:)	NOUN
iajs-1953	329	7	,	,	PUNCT
iajs-1953	329	8	(	(	PUNCT
iajs-1953	329	9	pnclω	pnclω	PROPN
iajs-1953	329	10	)	)	PUNCT
iajs-1953	329	11	,	,	PUNCT
iajs-1953	329	12	(	(	PUNCT
iajs-1953	329	13	pn	pn	PROPN
iajs-1953	329	14	is	be	AUX
iajs-1953	329	15	a	a	DET
iajs-1953	329	16	soft	soft	ADJ
iajs-1953	329	17	(	(	PUNCT
iajs-1953	329	18	1,2)*-α	1,2)*-α	NUM
iajs-1953	329	19	-	-	PUNCT
iajs-1953	329	20	ω	ω	NUM
iajs-1953	329	21	-	-	PUNCT
iajs-1953	329	22	neighborhood	neighborhood	NOUN
iajs-1953	329	23	of	of	ADP
iajs-1953	329	24	x~	x~	NOUN
iajs-1953	329	25	}	}	PUNCT
iajs-1953	329	26	,	,	PUNCT
iajs-1953	329	27	{	{	PUNCT
iajs-1953	329	28	~	~	PUNCT
iajs-1953	329	29			X
iajs-1953	329	30	(	(	PUNCT
iajs-1953	329	31	1,2	1,2	NUM
iajs-1953	329	32	)	)	PUNCT
iajs-1953	329	33	*	*	PUNCT
iajs-1953	329	34	pre	pre	PROPN
iajs-1953	329	35	:)	:)	NOUN
iajs-1953	329	36	,	,	PUNCT
iajs-1953	329	37	(	(	PUNCT
iajs-1953	329	38	pnclω	pnclω	PROPN
iajs-1953	329	39	)	)	PUNCT
iajs-1953	329	40	,	,	PUNCT
iajs-1953	329	41	(	(	PUNCT
iajs-1953	329	42	pn	pn	PROPN
iajs-1953	329	43	is	be	AUX
iajs-1953	329	44	a	a	DET
iajs-1953	329	45	soft	soft	ADJ
iajs-1953	329	46	(	(	PUNCT
iajs-1953	329	47	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	329	48	-	-	PUNCT
iajs-1953	329	49	ω	ω	NOUN
iajs-1953	329	50	-	-	PUNCT
iajs-1953	329	51	neighborhood	neighborhood	NOUN
iajs-1953	329	52	of	of	ADP
iajs-1953	329	53	x~	x~	NOUN
iajs-1953	329	54	}	}	PUNCT
iajs-1953	329	55	,	,	PUNCT
iajs-1953	329	56	{	{	PUNCT
iajs-1953	329	57	~	~	PUNCT
iajs-1953	329	58			X
iajs-1953	329	59	(	(	PUNCT
iajs-1953	329	60	1,2)*-b	1,2)*-b	NUM
iajs-1953	329	61	:)	:)	NOUN
iajs-1953	329	62	,	,	PUNCT
iajs-1953	329	63	(	(	PUNCT
iajs-1953	329	64	pnclω	pnclω	PROPN
iajs-1953	329	65	)	)	PUNCT
iajs-1953	329	66	,	,	PUNCT
iajs-1953	329	67	(	(	PUNCT
iajs-1953	329	68	pn	pn	PROPN
iajs-1953	329	69	is	be	AUX
iajs-1953	329	70	a	a	DET
iajs-1953	329	71	soft	soft	ADJ
iajs-1953	329	72	(	(	PUNCT
iajs-1953	329	73	1,2)*-b	1,2)*-b	NUM
iajs-1953	329	74	-	-	PUNCT
iajs-1953	329	75	ω	ω	NOUN
iajs-1953	329	76	-	-	PUNCT
iajs-1953	329	77	neighborhood	neighborhood	NOUN
iajs-1953	329	78	of	of	ADP
iajs-1953	329	79	x~	x~	NOUN
iajs-1953	329	80	}	}	PUNCT
iajs-1953	329	81	,	,	PUNCT
iajs-1953	329	82	{	{	PUNCT
iajs-1953	329	83	~	~	PUNCT
iajs-1953	329	84			X
iajs-1953	329	85	(	(	PUNCT
iajs-1953	329	86	1,2)*-β	1,2)*-β	NOUN
iajs-1953	329	87	:)	:)	NOUN
iajs-1953	329	88	,	,	PUNCT
iajs-1953	329	89	(	(	PUNCT
iajs-1953	329	90	pnclω	pnclω	PROPN
iajs-1953	329	91	)	)	PUNCT
iajs-1953	329	92	,	,	PUNCT
iajs-1953	329	93	(	(	PUNCT
iajs-1953	329	94	pn	pn	PROPN
iajs-1953	329	95	is	be	AUX
iajs-1953	329	96	a	a	DET
iajs-1953	329	97	soft	soft	ADJ
iajs-1953	329	98	(	(	PUNCT
iajs-1953	329	99	1,2)*-β	1,2)*-β	NUM
iajs-1953	329	100	-	-	PUNCT
iajs-1953	329	101	ω	ω	NUM
iajs-1953	329	102	-	-	PUNCT
iajs-1953	329	103	neighborhood	neighborhood	NOUN
iajs-1953	329	104	of	of	ADP
iajs-1953	329	105	x~	x~	NOUN
iajs-1953	329	106	}	}	PUNCT
iajs-1953	329	107	)	)	PUNCT
iajs-1953	329	108	}	}	PUNCT
iajs-1953	330	1	~{x	~{x	PUNCT
iajs-1953	330	2	.	.	PUNCT
iajs-1953	331	1	proof	proof	NOUN
iajs-1953	331	2	:	:	PUNCT
iajs-1953	331	3	)	)	PUNCT
iajs-1953	331	4	(	(	PUNCT
iajs-1953	331	5	)	)	PUNCT
iajs-1953	331	6	(	(	PUNCT
iajs-1953	331	7	iii	iii	X
iajs-1953	331	8			NOUN
iajs-1953	331	9	.	.	PUNCT
iajs-1953	332	1	let	let	VERB
iajs-1953	332	2	ux	ux	PROPN
iajs-1953	332	3	~~~	~~~	PUNCT
iajs-1953	332	4	.	.	PUNCT
iajs-1953	333	1	if	if	SCONJ
iajs-1953	333	2	uy	uy	NOUN
iajs-1953	333	3	~~~	~~~	PUNCT
iajs-1953	333	4	such	such	ADJ
iajs-1953	333	5	that	that	SCONJ
iajs-1953	333	6	xy	xy	PROPN
iajs-1953	333	7	~~	~~	PROPN
iajs-1953	333	8			NOUN
iajs-1953	333	9	,	,	PUNCT
iajs-1953	333	10	then	then	ADV
iajs-1953	333	11	there	there	PRON
iajs-1953	333	12	exists	exist	VERB
iajs-1953	333	13	disjoint	disjoint	VERB
iajs-1953	333	14	soft	soft	ADJ
iajs-1953	333	15	(	(	PUNCT
iajs-1953	333	16	1,2)*ω	1,2)*ω	NUM
iajs-1953	333	17	-	-	PUNCT
iajs-1953	333	18	open	open	ADJ
iajs-1953	333	19	sets	set	NOUN
iajs-1953	333	20	)	)	PUNCT
iajs-1953	333	21	,	,	PUNCT
iajs-1953	333	22	(	(	PUNCT
iajs-1953	333	23	ph	ph	NOUN
iajs-1953	333	24	and	and	CCONJ
iajs-1953	333	25	)	)	PUNCT
iajs-1953	333	26	,	,	PUNCT
iajs-1953	333	27	(	(	PUNCT
iajs-1953	333	28	pk	pk	NOUN
iajs-1953	333	29	such	such	ADJ
iajs-1953	333	30	that	that	PRON
iajs-1953	333	31	)	)	PUNCT
iajs-1953	333	32	,	,	PUNCT
iajs-1953	333	33	(	(	PUNCT
iajs-1953	333	34	~~	~~	NUM
iajs-1953	333	35	phx	phx	ADV
iajs-1953	333	36	and	and	CCONJ
iajs-1953	333	37	)	)	PUNCT
iajs-1953	333	38	,	,	PUNCT
iajs-1953	333	39	(	(	PUNCT
iajs-1953	333	40	~~	~~	X
iajs-1953	333	41	pky	pky	NOUN
iajs-1953	333	42	.	.	PUNCT
iajs-1953	334	1	hence	hence	ADV
iajs-1953	334	2			PROPN
iajs-1953	334	3	~),(~~	~),(~~	NUM
iajs-1953	334	4	phx	phx	PROPN
iajs-1953	334	5	cpk	cpk	PROPN
iajs-1953	334	6	)	)	PUNCT
iajs-1953	334	7	,	,	PUNCT
iajs-1953	334	8	(	(	PUNCT
iajs-1953	334	9	which	which	PRON
iajs-1953	334	10	implies	imply	VERB
iajs-1953	334	11	that	that	SCONJ
iajs-1953	334	12	cpk	cpk	PROPN
iajs-1953	334	13	)	)	PUNCT
iajs-1953	334	14	,	,	PUNCT
iajs-1953	334	15	(	(	PUNCT
iajs-1953	334	16	is	be	AUX
iajs-1953	334	17	a	a	DET
iajs-1953	334	18	soft	soft	ADJ
iajs-1953	334	19	(	(	PUNCT
iajs-1953	334	20	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	334	21	-	-	PUNCT
iajs-1953	334	22	neighborhood	neighborhood	NOUN
iajs-1953	334	23	of	of	ADP
iajs-1953	334	24	x~	x~	PROPN
iajs-1953	334	25	.	.	PUNCT
iajs-1953	335	1	also	also	ADV
iajs-1953	335	2	cpk	cpk	PROPN
iajs-1953	335	3	)	)	PUNCT
iajs-1953	335	4	,	,	PUNCT
iajs-1953	335	5	(	(	PUNCT
iajs-1953	335	6	is	be	AUX
iajs-1953	335	7	soft	soft	ADJ
iajs-1953	335	8	(	(	PUNCT
iajs-1953	335	9	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	335	10	-	-	PUNCT
iajs-1953	335	11	closed	closed	ADJ
iajs-1953	335	12	and	and	CCONJ
iajs-1953	335	13	cpky	cpky	NOUN
iajs-1953	335	14	)	)	PUNCT
iajs-1953	335	15	,	,	PUNCT
iajs-1953	335	16	(	(	PUNCT
iajs-1953	335	17	~~	~~	PROPN
iajs-1953	335	18	.	.	PUNCT
iajs-1953	336	1	let	let	VERB
iajs-1953	336	2			NUM
iajs-1953	336	3	)	)	PUNCT
iajs-1953	336	4	,	,	PUNCT
iajs-1953	336	5	(	(	PUNCT
iajs-1953	336	6	pn	pn	PROPN
iajs-1953	336	7	cpk	cpk	PROPN
iajs-1953	336	8	)	)	PUNCT
iajs-1953	336	9	,	,	PUNCT
iajs-1953	336	10	(	(	PUNCT
iajs-1953	336	11	.	.	PUNCT
iajs-1953	337	1	then	then	ADV
iajs-1953	337	2			PUNCT
iajs-1953	337	3	~~y	~~y	X
iajs-1953	337	4	(	(	PUNCT
iajs-1953	337	5	1,2	1,2	NUM
iajs-1953	337	6	)	)	PUNCT
iajs-1953	337	7	*	*	PUNCT
iajs-1953	337	8	)	)	PUNCT
iajs-1953	337	9	,	,	PUNCT
iajs-1953	337	10	(	(	PUNCT
iajs-1953	337	11	pnclω	pnclω	PROPN
iajs-1953	337	12	.	.	PUNCT
iajs-1953	337	13	)	)	PUNCT
iajs-1953	337	14	(	(	PUNCT
iajs-1953	337	15	)	)	PUNCT
iajs-1953	337	16	(	(	PUNCT
iajs-1953	337	17	iiiii	iiiii	PROPN
iajs-1953	337	18			NOUN
iajs-1953	337	19	.	.	PUNCT
iajs-1953	338	1	obvious	obvious	ADJ
iajs-1953	338	2	.	.	PUNCT
iajs-1953	338	3	)	)	PUNCT
iajs-1953	339	1	(	(	PUNCT
iajs-1953	339	2	)	)	PUNCT
iajs-1953	339	3	(	(	PUNCT
iajs-1953	339	4	iiii	iiii	PROPN
iajs-1953	339	5			PROPN
iajs-1953	339	6	.	.	PUNCT
iajs-1953	340	1	let	let	VERB
iajs-1953	340	2	uyx	uyx	NOUN
iajs-1953	340	3	~~~,~	~~~,~	PUNCT
iajs-1953	340	4			NOUN
iajs-1953	340	5	,	,	PUNCT
iajs-1953	340	6	yx	yx	PROPN
iajs-1953	340	7	~~	~~	PROPN
iajs-1953	340	8			PROPN
iajs-1953	340	9	.	.	PUNCT
iajs-1953	341	1	by	by	ADP
iajs-1953	341	2	hypothesis	hypothesis	NOUN
iajs-1953	341	3	,	,	PUNCT
iajs-1953	341	4	there	there	PRON
iajs-1953	341	5	is	be	VERB
iajs-1953	341	6	at	at	ADP
iajs-1953	341	7	least	least	ADJ
iajs-1953	341	8	a	a	DET
iajs-1953	341	9	soft	soft	ADJ
iajs-1953	341	10	(	(	PUNCT
iajs-1953	341	11	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	341	12	-	-	PUNCT
iajs-1953	341	13	neighborhood	neighborhood	NOUN
iajs-1953	341	14	)	)	PUNCT
iajs-1953	341	15	,	,	PUNCT
iajs-1953	341	16	(	(	PUNCT
iajs-1953	341	17	pn	pn	X
iajs-1953	341	18	of	of	ADP
iajs-1953	341	19	x~	x~	PROPN
iajs-1953	341	20	such	such	ADJ
iajs-1953	341	21	that	that	DET
iajs-1953	341	22			PUNCT
iajs-1953	341	23	~~y	~~y	X
iajs-1953	341	24	(	(	PUNCT
iajs-1953	341	25	1,2	1,2	NUM
iajs-1953	341	26	)	)	PUNCT
iajs-1953	341	27	*	*	PUNCT
iajs-1953	341	28	)	)	PUNCT
iajs-1953	341	29	,	,	PUNCT
iajs-1953	341	30	(	(	PUNCT
iajs-1953	341	31	pnclω	pnclω	PROPN
iajs-1953	341	32	.	.	PUNCT
iajs-1953	342	1	we	we	PRON
iajs-1953	342	2	have	have	VERB
iajs-1953	342	3	(	(	PUNCT
iajs-1953	342	4	~~x	~~x	X
iajs-1953	342	5	(	(	PUNCT
iajs-1953	342	6	1,2)*cpncl	1,2)*cpncl	NUM
iajs-1953	342	7	)	)	PUNCT
iajs-1953	342	8	)	)	PUNCT
iajs-1953	342	9	,	,	PUNCT
iajs-1953	342	10	(	(	PUNCT
iajs-1953	342	11	ω	ω	NOUN
iajs-1953	342	12	which	which	PRON
iajs-1953	342	13	is	be	AUX
iajs-1953	342	14	soft	soft	ADJ
iajs-1953	342	15	(	(	PUNCT
iajs-1953	342	16	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	342	17	-	-	NOUN
iajs-1953	342	18	open	open	ADJ
iajs-1953	342	19	.	.	PUNCT
iajs-1953	343	1	since	since	SCONJ
iajs-1953	343	2	)	)	PUNCT
iajs-1953	343	3	,	,	PUNCT
iajs-1953	343	4	(	(	PUNCT
iajs-1953	343	5	pn	pn	PROPN
iajs-1953	343	6	is	be	AUX
iajs-1953	343	7	a	a	DET
iajs-1953	343	8	soft	soft	ADJ
iajs-1953	343	9	(	(	PUNCT
iajs-1953	343	10	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	343	11	-	-	PUNCT
iajs-1953	343	12	neighborhood	neighborhood	NOUN
iajs-1953	343	13	of	of	ADP
iajs-1953	343	14	x~	x~	PROPN
iajs-1953	343	15	,	,	PUNCT
iajs-1953	343	16	then	then	ADV
iajs-1953	343	17	there	there	PRON
iajs-1953	343	18	exists	exist	VERB
iajs-1953	343	19	a	a	DET
iajs-1953	343	20	soft	soft	ADJ
iajs-1953	343	21	(	(	PUNCT
iajs-1953	343	22	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	343	23	-	-	PUNCT
iajs-1953	343	24	open	open	ADJ
iajs-1953	343	25	set	set	NOUN
iajs-1953	343	26	)	)	PUNCT
iajs-1953	343	27	,	,	PUNCT
iajs-1953	343	28	(	(	PUNCT
iajs-1953	343	29	ph	ph	VERB
iajs-1953	343	30	in	in	ADP
iajs-1953	343	31	u	u	NOUN
iajs-1953	343	32	~	~	PUNCT
iajs-1953	343	33	such	such	ADJ
iajs-1953	343	34	that	that	SCONJ
iajs-1953	343	35			PROPN
iajs-1953	343	36	~),(~~	~),(~~	NUM
iajs-1953	343	37	phx	phx	PROPN
iajs-1953	343	38	)	)	PUNCT
iajs-1953	343	39	,	,	PUNCT
iajs-1953	343	40	(	(	PUNCT
iajs-1953	343	41	pn	pn	PROPN
iajs-1953	343	42	and	and	CCONJ
iajs-1953	343	43			PROPN
iajs-1953	343	44	~	~	PUNCT
iajs-1953	343	45	)	)	PUNCT
iajs-1953	343	46	,	,	PUNCT
iajs-1953	343	47	(	(	PUNCT
iajs-1953	343	48	ph	ph	X
iajs-1953	343	49	(	(	PUNCT
iajs-1953	343	50	(	(	PUNCT
iajs-1953	343	51	1,2)*cpncl	1,2)*cpncl	NUM
iajs-1953	343	52	)	)	PUNCT
iajs-1953	343	53	)	)	PUNCT
iajs-1953	343	54	,	,	PUNCT
iajs-1953	343	55	(	(	PUNCT
iajs-1953	343	56	ω	ω	NOUN
iajs-1953	343	57	φ~	φ~	NOUN
iajs-1953	343	58	.	.	PUNCT
iajs-1953	344	1	hence	hence	ADV
iajs-1953	344	2	)	)	PUNCT
iajs-1953	344	3	,	,	PUNCT
iajs-1953	344	4	~,~	~,~	NUM
iajs-1953	344	5	,	,	PUNCT
iajs-1953	344	6	(	(	PUNCT
iajs-1953	344	7	21	21	NUM
iajs-1953	344	8	pu	pu	PROPN
iajs-1953	344	9	ττ	ττ	PROPN
iajs-1953	344	10	is	be	AUX
iajs-1953	344	11	a	a	DET
iajs-1953	344	12	soft	soft	ADJ
iajs-1953	344	13	(	(	PUNCT
iajs-1953	344	14	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	344	15	~	~	PUNCT
iajs-1953	344	16	t	t	NOUN
iajs-1953	344	17	-space	-space	NOUN
iajs-1953	344	18	.	.	PUNCT
iajs-1953	345	1	similarly	similarly	ADV
iajs-1953	345	2	,	,	PUNCT
iajs-1953	345	3	we	we	PRON
iajs-1953	345	4	can	can	AUX
iajs-1953	345	5	prove	prove	VERB
iajs-1953	345	6	that	that	SCONJ
iajs-1953	345	7	other	other	ADJ
iajs-1953	345	8	cases	case	NOUN
iajs-1953	345	9	.	.	PUNCT
iajs-1953	346	1	https://doi.org/10.30526/31.2.19523	https://doi.org/10.30526/31.2.19523	NOUN
iajs-1953	347	1	https://doi.org/10.30526/31.2.1953	https://doi.org/10.30526/31.2.1953	NUM
iajs-1953	347	2	mathmatics	mathmatic	NOUN
iajs-1953	347	3	|	|	ADV
iajs-1953	347	4	148	148	NUM
iajs-1953	347	5	8201	8201	NUM
iajs-1953	347	6	(	(	PUNCT
iajs-1953	347	7	عام	عام	ADP
iajs-1953	347	8	2العدد	2العدد	NUM
iajs-1953	347	9	)	)	PUNCT
iajs-1953	347	10	13لمجلد	13لمجلد	NUM
iajs-1953	348	1	ا	ا	INTJ
iajs-1953	349	1	مجلة	مجلة	PROPN
iajs-1953	349	2	إبن	إبن	VERB
iajs-1953	349	3	الهيثم	الهيثم	ADJ
iajs-1953	349	4	للعلوم	للعلوم	NOUN
iajs-1953	349	5	الصرفة	الصرفة	NOUN
iajs-1953	350	1	و	و	PRON
iajs-1953	350	2	التطبيقية	التطبيقية	ADJ
iajs-1953	350	3	ibn	ibn	PROPN
iajs-1953	350	4	al	al	PROPN
iajs-1953	350	5	-	-	PUNCT
iajs-1953	350	6	haitham	haitham	PROPN
iajs-1953	350	7	jour	jour	X
iajs-1953	350	8	.	.	PROPN
iajs-1953	350	9	for	for	ADP
iajs-1953	350	10	pure	pure	ADJ
iajs-1953	350	11	&	&	CCONJ
iajs-1953	350	12	appl	appl	PROPN
iajs-1953	350	13	.	.	PUNCT
iajs-1953	351	1	sci	sci	PROPN
iajs-1953	351	2	.	.	PUNCT
iajs-1953	351	3	vol	vol	NOUN
iajs-1953	351	4	.	.	PROPN
iajs-1953	352	1	31	31	NUM
iajs-1953	352	2	(	(	PUNCT
iajs-1953	352	3	2	2	NUM
iajs-1953	352	4	)	)	PUNCT
iajs-1953	352	5	2018	2018	NUM
iajs-1953	352	6	now	now	ADV
iajs-1953	352	7	,	,	PUNCT
iajs-1953	352	8	we	we	PRON
iajs-1953	352	9	need	need	VERB
iajs-1953	352	10	the	the	DET
iajs-1953	352	11	following	follow	VERB
iajs-1953	352	12	lemma	lemma	PROPN
iajs-1953	352	13	.	.	PUNCT
iajs-1953	353	1	lemma	lemma	PROPN
iajs-1953	353	2	(	(	PUNCT
iajs-1953	353	3	2.44	2.44	NUM
iajs-1953	353	4	):	):	PUNCT
iajs-1953	353	5	let	let	NOUN
iajs-1953	353	6	)	)	PUNCT
iajs-1953	353	7	,	,	PUNCT
iajs-1953	353	8	~,~	~,~	NUM
iajs-1953	353	9	,	,	PUNCT
iajs-1953	353	10	(	(	PUNCT
iajs-1953	353	11	21	21	NUM
iajs-1953	353	12	pu	pu	PROPN
iajs-1953	353	13	ττ	ττ	PROPN
iajs-1953	353	14	be	be	AUX
iajs-1953	353	15	a	a	DET
iajs-1953	353	16	soft	soft	ADJ
iajs-1953	353	17	bitopological	bitopological	ADJ
iajs-1953	353	18	space	space	NOUN
iajs-1953	353	19	and	and	CCONJ
iajs-1953	353	20	uy	uy	NOUN
iajs-1953	353	21			PROPN
iajs-1953	353	22	.	.	PUNCT
iajs-1953	354	1	if	if	SCONJ
iajs-1953	354	2	)	)	PUNCT
iajs-1953	354	3	,	,	PUNCT
iajs-1953	354	4	(	(	PUNCT
iajs-1953	354	5	ph	ph	PROPN
iajs-1953	354	6	is	be	AUX
iajs-1953	354	7	a	a	DET
iajs-1953	354	8	soft	soft	ADJ
iajs-1953	354	9	(	(	PUNCT
iajs-1953	354	10	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	354	11	-	-	PUNCT
iajs-1953	354	12	open	open	ADJ
iajs-1953	354	13	set	set	NOUN
iajs-1953	354	14	in	in	ADP
iajs-1953	354	15	u	u	PROPN
iajs-1953	354	16	~	~	PUNCT
iajs-1953	354	17	,	,	PUNCT
iajs-1953	354	18	then	then	ADV
iajs-1953	354	19	yph	yph	NOUN
iajs-1953	354	20	~~	~~	NUM
iajs-1953	354	21	)	)	PUNCT
iajs-1953	354	22	,	,	PUNCT
iajs-1953	354	23	(	(	PUNCT
iajs-1953	354	24			PRON
iajs-1953	354	25	is	be	AUX
iajs-1953	354	26	a	a	DET
iajs-1953	354	27	soft	soft	ADJ
iajs-1953	354	28	(	(	PUNCT
iajs-1953	354	29	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	354	30	-	-	PUNCT
iajs-1953	354	31	open	open	ADJ
iajs-1953	354	32	set	set	NOUN
iajs-1953	354	33	in	in	ADP
iajs-1953	354	34	y	y	PROPN
iajs-1953	354	35	~	~	PUNCT
iajs-1953	354	36	.	.	PUNCT
iajs-1953	355	1	proof	proof	NOUN
iajs-1953	355	2	:	:	PUNCT
iajs-1953	355	3	let	let	VERB
iajs-1953	355	4	)	)	PUNCT
iajs-1953	355	5	,	,	PUNCT
iajs-1953	355	6	(	(	PUNCT
iajs-1953	355	7	ph	ph	X
iajs-1953	355	8	be	be	AUX
iajs-1953	355	9	a	a	DET
iajs-1953	355	10	soft	soft	ADJ
iajs-1953	355	11	(	(	PUNCT
iajs-1953	355	12	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	355	13	-	-	PUNCT
iajs-1953	355	14	open	open	ADJ
iajs-1953	355	15	set	set	NOUN
iajs-1953	355	16	in	in	ADP
iajs-1953	355	17	u	u	NOUN
iajs-1953	355	18	~	~	PUNCT
iajs-1953	355	19	.	.	PUNCT
iajs-1953	356	1	to	to	PART
iajs-1953	356	2	prove	prove	VERB
iajs-1953	356	3	that	that	SCONJ
iajs-1953	356	4	yph	yph	NOUN
iajs-1953	356	5	~~	~~	NUM
iajs-1953	356	6	)	)	PUNCT
iajs-1953	356	7	,	,	PUNCT
iajs-1953	356	8	(	(	PUNCT
iajs-1953	356	9			PRON
iajs-1953	356	10	is	be	AUX
iajs-1953	356	11	a	a	DET
iajs-1953	356	12	soft	soft	ADJ
iajs-1953	356	13	(	(	PUNCT
iajs-1953	356	14	1,2)*ω	1,2)*ω	NUM
iajs-1953	356	15	-	-	PUNCT
iajs-1953	356	16	open	open	ADJ
iajs-1953	356	17	set	set	NOUN
iajs-1953	356	18	iny	iny	NOUN
iajs-1953	356	19	~	~	PUNCT
iajs-1953	356	20	.	.	PUNCT
iajs-1953	357	1	let	let	VERB
iajs-1953	357	2	yphy	yphy	PRON
iajs-1953	357	3	~~	~~	NUM
iajs-1953	357	4	)	)	PUNCT
iajs-1953	357	5	,	,	PUNCT
iajs-1953	357	6	(	(	PUNCT
iajs-1953	357	7	~~	~~	PROPN
iajs-1953	357	8			PROPN
iajs-1953	357	9			PROPN
iajs-1953	357	10	)	)	PUNCT
iajs-1953	357	11	,	,	PUNCT
iajs-1953	357	12	(	(	PUNCT
iajs-1953	357	13	~~	~~	X
iajs-1953	357	14	phy	phy	PROPN
iajs-1953	357	15	.	.	PUNCT
iajs-1953	358	1	since	since	SCONJ
iajs-1953	358	2	)	)	PUNCT
iajs-1953	358	3	,	,	PUNCT
iajs-1953	358	4	(	(	PUNCT
iajs-1953	358	5	ph	ph	PROPN
iajs-1953	358	6	is	be	AUX
iajs-1953	358	7	soft	soft	ADJ
iajs-1953	358	8	(	(	PUNCT
iajs-1953	358	9	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	358	10	-	-	NOUN
iajs-1953	358	11	open	open	ADJ
iajs-1953	358	12	in	in	ADP
iajs-1953	358	13	u	u	NOUN
iajs-1953	358	14	~	~	PUNCT
iajs-1953	358	15			NOUN
iajs-1953	358	16			ADP
iajs-1953	358	17	a	a	DET
iajs-1953	358	18	soft	soft	ADJ
iajs-1953	358	19	21	21	NUM
iajs-1953	358	20	~~	~~	NUM
iajs-1953	358	21	ττ	ττ	PART
iajs-1953	358	22	-open	-open	PROPN
iajs-1953	358	23	set	set	NOUN
iajs-1953	358	24	)	)	PUNCT
iajs-1953	358	25	,	,	PUNCT
iajs-1953	358	26	(	(	PUNCT
iajs-1953	358	27	pv	pv	ADV
iajs-1953	358	28	in	in	ADP
iajs-1953	358	29	u	u	NOUN
iajs-1953	358	30	~	~	PUNCT
iajs-1953	358	31	such	such	ADJ
iajs-1953	358	32	that	that	PRON
iajs-1953	358	33	)	)	PUNCT
iajs-1953	358	34	,	,	PUNCT
iajs-1953	358	35	(	(	PUNCT
iajs-1953	358	36	~~	~~	X
iajs-1953	358	37	pvy	pvy	X
iajs-1953	358	38	and	and	CCONJ
iajs-1953	358	39	)	)	PUNCT
iajs-1953	358	40	,	,	PUNCT
iajs-1953	358	41	(	(	PUNCT
iajs-1953	358	42	)	)	PUNCT
iajs-1953	358	43	,	,	PUNCT
iajs-1953	358	44	(	(	PUNCT
iajs-1953	358	45	phpv	phpv	PROPN
iajs-1953	358	46			PROPN
iajs-1953	358	47	is	be	AUX
iajs-1953	358	48	a	a	DET
iajs-1953	358	49	soft	soft	ADJ
iajs-1953	358	50	countable	countable	ADJ
iajs-1953	358	51	set	set	NOUN
iajs-1953	358	52	.	.	PUNCT
iajs-1953	359	1	hence	hence	ADV
iajs-1953	359	2	)	)	PUNCT
iajs-1953	359	3	,	,	PUNCT
iajs-1953	359	4	(	(	PUNCT
iajs-1953	359	5	~~	~~	X
iajs-1953	359	6	pvy	pvy	NOUN
iajs-1953	359	7			PROPN
iajs-1953	359	8	is	be	AUX
iajs-1953	359	9	a	a	DET
iajs-1953	359	10	soft	soft	ADJ
iajs-1953	359	11	yy	yy	NOUN
iajs-1953	359	12	21	21	NUM
iajs-1953	359	13	~~	~~	NUM
iajs-1953	359	14	ττ	ττ	PART
iajs-1953	359	15	-open	-open	PROPN
iajs-1953	359	16	set	set	VERB
iajs-1953	359	17	iny	iny	NOUN
iajs-1953	359	18	~	~	PUNCT
iajs-1953	359	19	.	.	PUNCT
iajs-1953	360	1	since	since	SCONJ
iajs-1953	360	2			PRON
iajs-1953	360	3	~~	~~	NUM
iajs-1953	360	4	(	(	PUNCT
iajs-1953	360	5	)	)	PUNCT
iajs-1953	360	6	)	)	PUNCT
iajs-1953	360	7	,	,	PUNCT
iajs-1953	360	8	(	(	PUNCT
iajs-1953	360	9	~~	~~	NUM
iajs-1953	360	10	(	(	PUNCT
iajs-1953	360	11	ypvy	ypvy	ADJ
iajs-1953	360	12			PROPN
iajs-1953	360	13	)	)	PUNCT
iajs-1953	360	14	)	)	PUNCT
iajs-1953	360	15	,	,	PUNCT
iajs-1953	360	16	(	(	PUNCT
iajs-1953	360	17	ph	ph	NOUN
iajs-1953	360	18	)	)	PUNCT
iajs-1953	360	19	)	)	PUNCT
iajs-1953	360	20	,	,	PUNCT
iajs-1953	360	21	(	(	PUNCT
iajs-1953	360	22	)	)	PUNCT
iajs-1953	360	23	,	,	PUNCT
iajs-1953	360	24	(	(	PUNCT
iajs-1953	360	25	(	(	PUNCT
iajs-1953	360	26	~~	~~	NUM
iajs-1953	360	27	phpvy	phpvy	VERB
iajs-1953	360	28			PROPN
iajs-1953	360	29			NOUN
iajs-1953	360	30	)	)	PUNCT
iajs-1953	360	31	)	)	PUNCT
iajs-1953	360	32	,	,	PUNCT
iajs-1953	360	33	(	(	PUNCT
iajs-1953	360	34	)	)	PUNCT
iajs-1953	360	35	,	,	PUNCT
iajs-1953	360	36	(	(	PUNCT
iajs-1953	360	37	(	(	PUNCT
iajs-1953	360	38	~	~	PUNCT
iajs-1953	360	39	phpv	phpv	PROPN
iajs-1953	360	40			NOUN
iajs-1953	360	41	,	,	PUNCT
iajs-1953	360	42	then	then	ADV
iajs-1953	360	43	)	)	PUNCT
iajs-1953	360	44	)	)	PUNCT
iajs-1953	360	45	,	,	PUNCT
iajs-1953	360	46	(	(	PUNCT
iajs-1953	360	47	~~	~~	NUM
iajs-1953	360	48	(	(	PUNCT
iajs-1953	360	49	)	)	PUNCT
iajs-1953	360	50	)	)	PUNCT
iajs-1953	360	51	,	,	PUNCT
iajs-1953	360	52	(	(	PUNCT
iajs-1953	360	53	~~	~~	X
iajs-1953	360	54	(	(	PUNCT
iajs-1953	360	55	phypvy	phypvy	NOUN
iajs-1953	360	56			PUNCT
iajs-1953	360	57			PROPN
iajs-1953	360	58	is	be	AUX
iajs-1953	360	59	soft	soft	ADJ
iajs-1953	360	60	countable	countable	ADJ
iajs-1953	360	61	.	.	PUNCT
iajs-1953	361	1	thus	thus	ADV
iajs-1953	361	2	yph	yph	NOUN
iajs-1953	361	3	~~	~~	NUM
iajs-1953	361	4	)	)	PUNCT
iajs-1953	361	5	,	,	PUNCT
iajs-1953	361	6	(	(	PUNCT
iajs-1953	361	7			PRON
iajs-1953	361	8	is	be	AUX
iajs-1953	361	9	a	a	DET
iajs-1953	361	10	soft	soft	ADJ
iajs-1953	361	11	(	(	PUNCT
iajs-1953	361	12	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	361	13	-	-	PUNCT
iajs-1953	361	14	open	open	ADJ
iajs-1953	361	15	set	set	VERB
iajs-1953	361	16	iny	iny	NOUN
iajs-1953	361	17	~	~	PUNCT
iajs-1953	361	18	.	.	PUNCT
iajs-1953	362	1	proposition	proposition	NOUN
iajs-1953	362	2	(	(	PUNCT
iajs-1953	362	3	2.45	2.45	NUM
iajs-1953	362	4	):	):	PUNCT
iajs-1953	362	5	every	every	DET
iajs-1953	362	6	soft	soft	ADJ
iajs-1953	362	7	subspace	subspace	NOUN
iajs-1953	362	8	of	of	ADP
iajs-1953	362	9	a	a	DET
iajs-1953	362	10	soft	soft	ADJ
iajs-1953	362	11	(	(	PUNCT
iajs-1953	362	12	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	362	13	~	~	PUNCT
iajs-1953	362	14	t	t	NOUN
iajs-1953	362	15	-space	-space	NOUN
iajs-1953	362	16	is	be	AUX
iajs-1953	362	17	a	a	DET
iajs-1953	362	18	soft	soft	ADJ
iajs-1953	362	19	(	(	PUNCT
iajs-1953	362	20	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	362	21	~	~	PUNCT
iajs-1953	362	22	t	t	NOUN
iajs-1953	362	23	space	space	NOUN
iajs-1953	362	24	.	.	PUNCT
iajs-1953	363	1	proof	proof	NOUN
iajs-1953	363	2	:	:	PUNCT
iajs-1953	363	3	let	let	VERB
iajs-1953	363	4	)	)	PUNCT
iajs-1953	363	5	,	,	PUNCT
iajs-1953	363	6	~,~	~,~	NUM
iajs-1953	363	7	,	,	PUNCT
iajs-1953	363	8	(	(	PUNCT
iajs-1953	363	9	21	21	NUM
iajs-1953	363	10	pu	pu	PROPN
iajs-1953	363	11	ττ	ττ	PROPN
iajs-1953	363	12	be	be	AUX
iajs-1953	363	13	a	a	DET
iajs-1953	363	14	soft	soft	ADJ
iajs-1953	363	15	(	(	PUNCT
iajs-1953	363	16	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	363	17	~	~	PUNCT
iajs-1953	363	18	t	t	NOUN
iajs-1953	363	19	-space	-space	NOUN
iajs-1953	363	20	and	and	CCONJ
iajs-1953	363	21	)	)	PUNCT
iajs-1953	363	22	,	,	PUNCT
iajs-1953	363	23	~,~	~,~	NUM
iajs-1953	363	24	,	,	PUNCT
iajs-1953	363	25	(	(	PUNCT
iajs-1953	363	26	~	~	PUNCT
iajs-1953	363	27	2	2	X
iajs-1953	363	28	~	~	SYM
iajs-1953	363	29	1	1	X
iajs-1953	363	30	py	py	INTJ
iajs-1953	363	31	yy	yy	INTJ
iajs-1953	363	32	ττ	ττ	PROPN
iajs-1953	363	33	be	be	AUX
iajs-1953	363	34	a	a	DET
iajs-1953	363	35	soft	soft	ADJ
iajs-1953	363	36	subspace	subspace	NOUN
iajs-1953	363	37	of	of	ADP
iajs-1953	363	38	)	)	PUNCT
iajs-1953	363	39	,	,	PUNCT
iajs-1953	363	40	~,~	~,~	NUM
iajs-1953	363	41	,	,	PUNCT
iajs-1953	363	42	(	(	PUNCT
iajs-1953	363	43	21	21	NUM
iajs-1953	363	44	pu	pu	PROPN
iajs-1953	363	45	ττ	ττ	PROPN
iajs-1953	363	46	.	.	PUNCT
iajs-1953	364	1	to	to	PART
iajs-1953	364	2	prove	prove	VERB
iajs-1953	364	3	that	that	PRON
iajs-1953	364	4	)	)	PUNCT
iajs-1953	364	5	,	,	PUNCT
iajs-1953	364	6	~,~	~,~	NUM
iajs-1953	364	7	,	,	PUNCT
iajs-1953	364	8	(	(	PUNCT
iajs-1953	364	9	~	~	PUNCT
iajs-1953	364	10	2	2	X
iajs-1953	364	11	~	~	SYM
iajs-1953	364	12	1	1	X
iajs-1953	364	13	py	py	INTJ
iajs-1953	364	14	yy	yy	INTJ
iajs-1953	364	15	ττ	ττ	PROPN
iajs-1953	364	16	is	be	AUX
iajs-1953	364	17	a	a	DET
iajs-1953	364	18	soft	soft	ADJ
iajs-1953	364	19	(	(	PUNCT
iajs-1953	364	20	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	364	21	~	~	PUNCT
iajs-1953	364	22	t	t	NOUN
iajs-1953	364	23	-space	-space	NOUN
iajs-1953	364	24	.	.	PUNCT
iajs-1953	365	1	let	let	VERB
iajs-1953	365	2	yyx	yyx	PROPN
iajs-1953	365	3	~~~,~	~~~,~	PUNCT
iajs-1953	366	1			NOUN
iajs-1953	366	2	such	such	ADJ
iajs-1953	366	3	that	that	DET
iajs-1953	366	4	yx	yx	PROPN
iajs-1953	366	5	~~	~~	PROPN
iajs-1953	366	6			PROPN
iajs-1953	366	7	.	.	PUNCT
iajs-1953	367	1	since	since	SCONJ
iajs-1953	367	2	uy	uy	PROPN
iajs-1953	367	3	~~~	~~~	PUNCT
iajs-1953	367	4			PROPN
iajs-1953	367	5	,	,	PUNCT
iajs-1953	367	6	then	then	ADV
iajs-1953	367	7	uyx	uyx	NOUN
iajs-1953	367	8	~~~,~	~~~,~	PUNCT
iajs-1953	367	9			NOUN
iajs-1953	367	10	.	.	PUNCT
iajs-1953	368	1	but	but	CCONJ
iajs-1953	368	2	)	)	PUNCT
iajs-1953	368	3	,	,	PUNCT
iajs-1953	368	4	~,~	~,~	NUM
iajs-1953	368	5	,	,	PUNCT
iajs-1953	368	6	(	(	PUNCT
iajs-1953	368	7	21	21	NUM
iajs-1953	368	8	pu	pu	PROPN
iajs-1953	368	9	ττ	ττ	PROPN
iajs-1953	368	10	is	be	AUX
iajs-1953	368	11	a	a	DET
iajs-1953	368	12	soft	soft	ADJ
iajs-1953	368	13	(	(	PUNCT
iajs-1953	368	14	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	368	15	~	~	PUNCT
iajs-1953	368	16	t	t	NOUN
iajs-1953	368	17	-space	-space	NOUN
iajs-1953	368	18	,	,	PUNCT
iajs-1953	368	19	then	then	ADV
iajs-1953	368	20	there	there	PRON
iajs-1953	368	21	are	be	VERB
iajs-1953	368	22	two	two	NUM
iajs-1953	368	23	soft	soft	ADJ
iajs-1953	368	24	(	(	PUNCT
iajs-1953	368	25	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	368	26	-	-	PUNCT
iajs-1953	368	27	open	open	ADJ
iajs-1953	368	28	sets	set	NOUN
iajs-1953	368	29	)	)	PUNCT
iajs-1953	368	30	,	,	PUNCT
iajs-1953	368	31	(	(	PUNCT
iajs-1953	368	32	ph	ph	NOUN
iajs-1953	368	33	and	and	CCONJ
iajs-1953	368	34	)	)	PUNCT
iajs-1953	368	35	,	,	PUNCT
iajs-1953	368	36	(	(	PUNCT
iajs-1953	368	37	pk	pk	NOUN
iajs-1953	368	38	in	in	ADP
iajs-1953	368	39	u	u	NOUN
iajs-1953	368	40	~	~	PUNCT
iajs-1953	368	41	such	such	ADJ
iajs-1953	368	42	that	that	PRON
iajs-1953	368	43	)	)	PUNCT
iajs-1953	368	44	,	,	PUNCT
iajs-1953	368	45	(	(	PUNCT
iajs-1953	368	46	~~	~~	NUM
iajs-1953	368	47	phx	phx	ADV
iajs-1953	368	48	,	,	PUNCT
iajs-1953	368	49	)	)	PUNCT
iajs-1953	368	50	,	,	PUNCT
iajs-1953	368	51	(	(	PUNCT
iajs-1953	368	52	~~	~~	NUM
iajs-1953	368	53	pky	pky	NOUN
iajs-1953	368	54	and	and	CCONJ
iajs-1953	368	55	φ~	φ~	NOUN
iajs-1953	368	56	)	)	PUNCT
iajs-1953	368	57	,	,	PUNCT
iajs-1953	368	58	(	(	PUNCT
iajs-1953	368	59	~	~	PUNCT
iajs-1953	368	60	)	)	PUNCT
iajs-1953	368	61	,	,	PUNCT
iajs-1953	368	62	(	(	PUNCT
iajs-1953	368	63	pkph	pkph	PUNCT
iajs-1953	368	64			PROPN
iajs-1953	368	65	.	.	PUNCT
iajs-1953	369	1	by	by	ADP
iajs-1953	369	2	lemma	lemma	PROPN
iajs-1953	369	3	(	(	PUNCT
iajs-1953	369	4	2.44	2.44	NUM
iajs-1953	369	5	)	)	PUNCT
iajs-1953	369	6	,	,	PUNCT
iajs-1953	369	7	yphph	yphph	NOUN
iajs-1953	369	8	~~	~~	NUM
iajs-1953	369	9	)	)	PUNCT
iajs-1953	369	10	,	,	PUNCT
iajs-1953	369	11	(	(	PUNCT
iajs-1953	369	12	)	)	PUNCT
iajs-1953	369	13	,	,	PUNCT
iajs-1953	369	14	(	(	PUNCT
iajs-1953	369	15			PROPN
iajs-1953	369	16	and	and	CCONJ
iajs-1953	369	17	ypkpk	ypkpk	ADJ
iajs-1953	369	18	~~	~~	NUM
iajs-1953	369	19	)	)	PUNCT
iajs-1953	369	20	,	,	PUNCT
iajs-1953	369	21	(	(	PUNCT
iajs-1953	369	22	)	)	PUNCT
iajs-1953	369	23	,	,	PUNCT
iajs-1953	369	24	(	(	PUNCT
iajs-1953	369	25			PROPN
iajs-1953	369	26	are	be	AUX
iajs-1953	369	27	soft	soft	ADJ
iajs-1953	369	28	(	(	PUNCT
iajs-1953	369	29	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	369	30	-	-	PUNCT
iajs-1953	369	31	open	open	ADJ
iajs-1953	369	32	sets	set	NOUN
iajs-1953	369	33	iny	iny	NOUN
iajs-1953	369	34	~	~	PUNCT
iajs-1953	370	1	such	such	ADJ
iajs-1953	370	2	that	that	PRON
iajs-1953	370	3	)	)	PUNCT
iajs-1953	370	4	,	,	PUNCT
iajs-1953	370	5	(	(	PUNCT
iajs-1953	370	6	~~	~~	NUM
iajs-1953	370	7	phx	phx	PROPN
iajs-1953	370	8			NOUN
iajs-1953	370	9	and	and	CCONJ
iajs-1953	370	10	)	)	PUNCT
iajs-1953	370	11	,	,	PUNCT
iajs-1953	370	12	(	(	PUNCT
iajs-1953	370	13	~~	~~	NUM
iajs-1953	370	14	pky	pky	NOUN
iajs-1953	370	15			NOUN
iajs-1953	370	16	.	.	PUNCT
iajs-1953	371	1	since	since	SCONJ
iajs-1953	371	2			PROPN
iajs-1953	371	3	~	~	PUNCT
iajs-1953	371	4	)	)	PUNCT
iajs-1953	371	5	,	,	PUNCT
iajs-1953	371	6	(	(	PUNCT
iajs-1953	371	7	ph	ph	PROPN
iajs-1953	371	8			PROPN
iajs-1953	371	9	)	)	PUNCT
iajs-1953	371	10	,	,	PUNCT
iajs-1953	371	11	(	(	PUNCT
iajs-1953	371	12	pk	pk	X
iajs-1953	371	13			X
iajs-1953	371	14	~	~	PUNCT
iajs-1953	371	15	)	)	PUNCT
iajs-1953	371	16	~~	~~	NUM
iajs-1953	371	17	)	)	PUNCT
iajs-1953	371	18	,	,	PUNCT
iajs-1953	371	19	(	(	PUNCT
iajs-1953	371	20	(	(	PUNCT
iajs-1953	371	21	yph	yph	NOUN
iajs-1953	371	22			X
iajs-1953	371	23	~	~	PUNCT
iajs-1953	371	24	)	)	PUNCT
iajs-1953	371	25	,	,	PUNCT
iajs-1953	371	26	(	(	PUNCT
iajs-1953	371	27	(	(	PUNCT
iajs-1953	371	28	pk	pk	NOUN
iajs-1953	371	29	)	)	PUNCT
iajs-1953	371	30	~	~	PUNCT
iajs-1953	371	31	y	y	PROPN
iajs-1953	371	32	ypkph	ypkph	NOUN
iajs-1953	371	33	~~	~~	NUM
iajs-1953	371	34	)	)	PUNCT
iajs-1953	371	35	)	)	PUNCT
iajs-1953	371	36	,	,	PUNCT
iajs-1953	371	37	(	(	PUNCT
iajs-1953	371	38	~	~	PUNCT
iajs-1953	371	39	)	)	PUNCT
iajs-1953	371	40	,	,	PUNCT
iajs-1953	371	41	(	(	PUNCT
iajs-1953	371	42	(	(	PUNCT
iajs-1953	371	43			VERB
iajs-1953	371	44	φφ	φφ	ADV
iajs-1953	371	45	~~~~	~~~~	PUNCT
iajs-1953	371	46			NUM
iajs-1953	371	47	y	y	PROPN
iajs-1953	371	48	.	.	PUNCT
iajs-1953	372	1	thus	thus	ADV
iajs-1953	372	2	)	)	PUNCT
iajs-1953	372	3	,	,	PUNCT
iajs-1953	372	4	~,~	~,~	X
iajs-1953	372	5	,	,	PUNCT
iajs-1953	372	6	(	(	PUNCT
iajs-1953	372	7	~	~	PUNCT
iajs-1953	372	8	2	2	X
iajs-1953	372	9	~	~	SYM
iajs-1953	372	10	1	1	X
iajs-1953	372	11	py	py	INTJ
iajs-1953	372	12	yy	yy	INTJ
iajs-1953	372	13	ττ	ττ	PROPN
iajs-1953	372	14	is	be	AUX
iajs-1953	372	15	a	a	DET
iajs-1953	372	16	soft	soft	ADJ
iajs-1953	372	17	(	(	PUNCT
iajs-1953	372	18	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	372	19	~	~	PUNCT
iajs-1953	372	20	t	t	NOUN
iajs-1953	372	21	-space	-space	NOUN
iajs-1953	372	22	.	.	PUNCT
iajs-1953	373	1	remark	remark	NOUN
iajs-1953	373	2	(	(	PUNCT
iajs-1953	373	3	2.46	2.46	NUM
iajs-1953	373	4	):	):	PUNCT
iajs-1953	373	5	soft	soft	ADJ
iajs-1953	373	6	subspace	subspace	NOUN
iajs-1953	373	7	of	of	ADP
iajs-1953	373	8	a	a	DET
iajs-1953	373	9	soft	soft	ADJ
iajs-1953	373	10	(	(	PUNCT
iajs-1953	373	11	1,2)*-α	1,2)*-α	NUM
iajs-1953	373	12	-	-	NUM
iajs-1953	373	13	ω2	ω2	NOUN
iajs-1953	373	14	~	~	PUNCT
iajs-1953	373	15	t	t	NOUN
iajs-1953	373	16	-space	-space	NOUN
iajs-1953	373	17	is	be	AUX
iajs-1953	373	18	not	not	PART
iajs-1953	373	19	a	a	DET
iajs-1953	373	20	soft	soft	ADJ
iajs-1953	373	21	(	(	PUNCT
iajs-1953	373	22	1,2)*-α	1,2)*-α	NUM
iajs-1953	373	23	-	-	PUNCT
iajs-1953	373	24	ω2	ω2	NOUN
iajs-1953	373	25	~	~	PUNCT
iajs-1953	373	26	t	t	NOUN
iajs-1953	373	27	space	space	NOUN
iajs-1953	373	28	as	as	SCONJ
iajs-1953	373	29	shown	show	VERB
iajs-1953	373	30	in	in	ADP
iajs-1953	373	31	the	the	DET
iajs-1953	373	32	following	follow	VERB
iajs-1953	373	33	example	example	NOUN
iajs-1953	373	34	:	:	PUNCT
iajs-1953	373	35	example	example	NOUN
iajs-1953	373	36	(	(	PUNCT
iajs-1953	373	37	2.47	2.47	NUM
iajs-1953	373	38	):	):	PUNCT
iajs-1953	373	39	let	let	VERB
iajs-1953	373	40	u	u	PUNCT
iajs-1953	373	41	and	and	CCONJ
iajs-1953	373	42	}	}	PUNCT
iajs-1953	373	43	{	{	PUNCT
iajs-1953	373	44	pp	pp	ADV
iajs-1953	373	45			NOUN
iajs-1953	373	46	and	and	CCONJ
iajs-1953	373	47	let	let	VERB
iajs-1953	373	48	)	)	PUNCT
iajs-1953	373	49	}	}	PUNCT
iajs-1953	373	50	,	,	PUNCT
iajs-1953	373	51	(	(	PUNCT
iajs-1953	373	52	,	,	PUNCT
iajs-1953	373	53	~	~	PROPN
iajs-1953	373	54	,	,	PUNCT
iajs-1953	373	55	~	~	PUNCT
iajs-1953	373	56	{	{	PUNCT
iajs-1953	373	57	~	~	PUNCT
iajs-1953	373	58	11	11	NUM
iajs-1953	373	59	phu	phu	NOUN
iajs-1953	373	60	φτ	φτ	ADP
iajs-1953	373	61			PROPN
iajs-1953	373	62	and	and	CCONJ
iajs-1953	373	63	2	2	ADP
iajs-1953	373	64	~τ	~τ	PUNCT
iajs-1953	373	65	)	)	PUNCT
iajs-1953	373	66	}	}	PUNCT
iajs-1953	373	67	,	,	PUNCT
iajs-1953	373	68	(	(	PUNCT
iajs-1953	373	69	,	,	PUNCT
iajs-1953	373	70	~	~	PROPN
iajs-1953	373	71	,	,	PUNCT
iajs-1953	373	72	~	~	PUNCT
iajs-1953	373	73	{	{	PUNCT
iajs-1953	373	74	2	2	NUM
iajs-1953	373	75	phu	phu	NOUN
iajs-1953	373	76	φ	φ	PROPN
iajs-1953	373	77	be	be	VERB
iajs-1953	373	78	soft	soft	ADJ
iajs-1953	373	79	topologies	topology	NOUN
iajs-1953	373	80	over	over	ADP
iajs-1953	373	81	u	u	NOUN
iajs-1953	373	82	,	,	PUNCT
iajs-1953	373	83	where	where	SCONJ
iajs-1953	373	84			NOUN
iajs-1953	373	85	)	)	PUNCT
iajs-1953	373	86	,	,	PUNCT
iajs-1953	373	87	(	(	PUNCT
iajs-1953	373	88	1	1	NUM
iajs-1953	373	89	ph	ph	NOUN
iajs-1953	373	90	}	}	PUNCT
iajs-1953	373	91	)	)	PUNCT
iajs-1953	373	92	}	}	PUNCT
iajs-1953	373	93	1	1	X
iajs-1953	373	94	{	{	PUNCT
iajs-1953	373	95	,	,	PUNCT
iajs-1953	373	96	{	{	PUNCT
iajs-1953	373	97	(	(	PUNCT
iajs-1953	373	98	p	p	X
iajs-1953	373	99	,	,	PUNCT
iajs-1953	373	100			NUM
iajs-1953	373	101	)	)	PUNCT
iajs-1953	373	102	,	,	PUNCT
iajs-1953	373	103	(	(	PUNCT
iajs-1953	373	104	2	2	NUM
iajs-1953	373	105	ph	ph	NOUN
iajs-1953	373	106	}	}	PUNCT
iajs-1953	373	107	)	)	PUNCT
iajs-1953	373	108	}	}	PUNCT
iajs-1953	373	109	1{,{(p	1{,{(p	NUM
iajs-1953	373	110	and	and	CCONJ
iajs-1953	373	111			NUM
iajs-1953	373	112	)	)	PUNCT
iajs-1953	373	113	,	,	PUNCT
iajs-1953	373	114	(	(	PUNCT
iajs-1953	373	115	3	3	NUM
iajs-1953	373	116	ph	ph	NOUN
iajs-1953	373	117	}	}	PUNCT
iajs-1953	373	118	)	)	PUNCT
iajs-1953	373	119	}	}	PUNCT
iajs-1953	373	120	1,1	1,1	NUM
iajs-1953	373	121	{	{	PUNCT
iajs-1953	373	122	,	,	PUNCT
iajs-1953	373	123	{	{	PUNCT
iajs-1953	373	124	(	(	PUNCT
iajs-1953	373	125	p	p	PROPN
iajs-1953	373	126	.	.	PUNCT
iajs-1953	374	1	then	then	ADV
iajs-1953	374	2	)	)	PUNCT
iajs-1953	374	3	,	,	PUNCT
iajs-1953	374	4	~,~	~,~	NUM
iajs-1953	374	5	,	,	PUNCT
iajs-1953	374	6	(	(	PUNCT
iajs-1953	374	7	21	21	NUM
iajs-1953	374	8	pu	pu	PROPN
iajs-1953	374	9	ττ	ττ	PROPN
iajs-1953	374	10	is	be	AUX
iajs-1953	374	11	a	a	DET
iajs-1953	374	12	soft	soft	ADJ
iajs-1953	374	13	(	(	PUNCT
iajs-1953	374	14	1,2)*-α	1,2)*-α	NUM
iajs-1953	374	15	-	-	NUM
iajs-1953	374	16	ω2	ω2	NOUN
iajs-1953	374	17	~	~	PUNCT
iajs-1953	374	18	t	t	NOUN
iajs-1953	374	19	-space	-space	NOUN
iajs-1953	374	20	.	.	PUNCT
iajs-1953	375	1	if	if	SCONJ
iajs-1953	375	2			PROPN
iajs-1953	375	3	uy	uy	NOUN
iajs-1953	375	4	}	}	PUNCT
iajs-1953	375	5	1	1	NUM
iajs-1953	375	6	{	{	PUNCT
iajs-1953	375	7	,	,	PUNCT
iajs-1953	375	8	then	then	ADV
iajs-1953	375	9	)	)	PUNCT
iajs-1953	375	10	}	}	PUNCT
iajs-1953	375	11	,	,	PUNCT
iajs-1953	375	12	(	(	PUNCT
iajs-1953	375	13	,	,	PUNCT
iajs-1953	375	14	~	~	PROPN
iajs-1953	375	15	,	,	PUNCT
iajs-1953	375	16	~	~	PUNCT
iajs-1953	375	17	{	{	PUNCT
iajs-1953	375	18	~	~	PUNCT
iajs-1953	375	19	1~	1~	NUM
iajs-1953	375	20	1	1	NUM
iajs-1953	375	21	phy	phy	NOUN
iajs-1953	375	22	y	y	NOUN
iajs-1953	375	23	φτ	φτ	NOUN
iajs-1953	375	24			PROPN
iajs-1953	375	25	and	and	CCONJ
iajs-1953	375	26	}	}	PUNCT
iajs-1953	375	27	~	~	PUNCT
iajs-1953	375	28	,	,	PUNCT
iajs-1953	375	29	~	~	PUNCT
iajs-1953	375	30	{	{	PUNCT
iajs-1953	375	31	~	~	PUNCT
iajs-1953	375	32	~	~	SYM
iajs-1953	375	33	2	2	NUM
iajs-1953	375	34	φτ	φτ	NOUN
iajs-1953	375	35	y	y	PROPN
iajs-1953	375	36	y	y	PROPN
iajs-1953	375	37			PROPN
iajs-1953	375	38	are	be	AUX
iajs-1953	375	39	soft	soft	ADJ
iajs-1953	375	40	topologies	topology	NOUN
iajs-1953	375	41	over	over	ADP
iajs-1953	375	42	y.	y.	NOUN
iajs-1953	375	43	the	the	DET
iajs-1953	375	44	soft	soft	ADJ
iajs-1953	375	45	sets	set	NOUN
iajs-1953	375	46	in	in	ADP
iajs-1953	375	47	)	)	PUNCT
iajs-1953	375	48	}	}	PUNCT
iajs-1953	375	49	,	,	PUNCT
iajs-1953	375	50	(	(	PUNCT
iajs-1953	375	51	,	,	PUNCT
iajs-1953	375	52	~	~	PROPN
iajs-1953	375	53	,	,	PUNCT
iajs-1953	375	54	~	~	PUNCT
iajs-1953	375	55	{	{	PUNCT
iajs-1953	375	56	1	1	NUM
iajs-1953	375	57	phy	phy	NOUN
iajs-1953	375	58	φ	φ	NOUN
iajs-1953	375	59	are	be	AUX
iajs-1953	375	60	soft	soft	ADJ
iajs-1953	375	61	2	2	NUM
iajs-1953	375	62	~	~	SYM
iajs-1953	375	63	1	1	NUM
iajs-1953	375	64	~	~	PUNCT
iajs-1953	375	65	~~	~~	NUM
iajs-1953	375	66	yy	yy	INTJ
iajs-1953	375	67	ττ	ττ	PROPN
iajs-1953	375	68	-open	-open	PROPN
iajs-1953	375	69	.	.	PUNCT
iajs-1953	376	1	therefore	therefore	ADV
iajs-1953	376	2	)	)	PUNCT
iajs-1953	376	3	,	,	PUNCT
iajs-1953	376	4	~,~	~,~	NUM
iajs-1953	376	5	,	,	PUNCT
iajs-1953	376	6	(	(	PUNCT
iajs-1953	376	7	~	~	PUNCT
iajs-1953	376	8	2	2	X
iajs-1953	376	9	~	~	SYM
iajs-1953	376	10	1	1	X
iajs-1953	376	11	py	py	INTJ
iajs-1953	376	12	yy	yy	INTJ
iajs-1953	376	13	ττ	ττ	PROPN
iajs-1953	376	14	is	be	AUX
iajs-1953	376	15	not	not	PART
iajs-1953	376	16	a	a	DET
iajs-1953	376	17	soft	soft	ADJ
iajs-1953	376	18	(	(	PUNCT
iajs-1953	376	19	1,2)*-α	1,2)*-α	NUM
iajs-1953	376	20	-	-	PUNCT
iajs-1953	376	21	ω2	ω2	NOUN
iajs-1953	376	22	~	~	PUNCT
iajs-1953	376	23	t	t	NOUN
iajs-1953	376	24	space	space	NOUN
iajs-1953	376	25	,	,	PUNCT
iajs-1953	376	26	since	since	SCONJ
iajs-1953	376	27	}	}	PUNCT
iajs-1953	376	28	)	)	PUNCT
iajs-1953	376	29	3{,(p	3{,(p	PROPN
iajs-1953	376	30			X
iajs-1953	376	31	x~	x~	NOUN
iajs-1953	376	32	}	}	PUNCT
iajs-1953	376	33	)	)	PUNCT
iajs-1953	376	34	4{,(~	4{,(~	NUM
iajs-1953	377	1	py	py	INTJ
iajs-1953	377	2			PROPN
iajs-1953	377	3	,	,	PUNCT
iajs-1953	377	4	but	but	CCONJ
iajs-1953	377	5	there	there	PRON
iajs-1953	377	6	exists	exist	VERB
iajs-1953	377	7	no	no	DET
iajs-1953	377	8	soft	soft	ADJ
iajs-1953	377	9	(	(	PUNCT
iajs-1953	377	10	1,2)*-α	1,2)*-α	NUM
iajs-1953	377	11	-	-	PUNCT
iajs-1953	377	12	ω	ω	VERB
iajs-1953	377	13	-	-	ADJ
iajs-1953	377	14	open	open	ADJ
iajs-1953	377	15	sets	set	NOUN
iajs-1953	377	16	)	)	PUNCT
iajs-1953	377	17	,	,	PUNCT
iajs-1953	377	18	(	(	PUNCT
iajs-1953	377	19	1	1	NUM
iajs-1953	377	20	pk	pk	NOUN
iajs-1953	377	21	and	and	CCONJ
iajs-1953	377	22	)	)	PUNCT
iajs-1953	377	23	,	,	PUNCT
iajs-1953	377	24	(	(	PUNCT
iajs-1953	377	25	2	2	NUM
iajs-1953	377	26	pk	pk	NOUN
iajs-1953	377	27	in	in	ADP
iajs-1953	377	28	y	y	PROPN
iajs-1953	377	29	~	~	PUNCT
iajs-1953	378	1	such	such	ADJ
iajs-1953	378	2	that	that	PRON
iajs-1953	378	3	)	)	PUNCT
iajs-1953	378	4	,	,	PUNCT
iajs-1953	378	5	(	(	PUNCT
iajs-1953	378	6	~~),,(~~	~~),,(~~	NUM
iajs-1953	378	7	21	21	NUM
iajs-1953	378	8	pkypkx	pkypkx	NOUN
iajs-1953	378	9			NUM
iajs-1953	378	10	and	and	CCONJ
iajs-1953	378	11			NUM
iajs-1953	378	12	)	)	PUNCT
iajs-1953	378	13	,	,	PUNCT
iajs-1953	378	14	(	(	PUNCT
iajs-1953	378	15	~	~	PUNCT
iajs-1953	378	16	)	)	PUNCT
iajs-1953	378	17	,	,	PUNCT
iajs-1953	378	18	(	(	PUNCT
iajs-1953	378	19	21	21	NUM
iajs-1953	378	20	pkpk	pkpk	VERB
iajs-1953	378	21			NOUN
iajs-1953	378	22	φ~	φ~	PROPN
iajs-1953	378	23	.	.	PUNCT
iajs-1953	379	1	proposition	proposition	NOUN
iajs-1953	379	2	(	(	PUNCT
iajs-1953	379	3	2.48	2.48	NUM
iajs-1953	379	4	):	):	PUNCT
iajs-1953	379	5	if	if	SCONJ
iajs-1953	379	6	)	)	PUNCT
iajs-1953	379	7	,	,	PUNCT
iajs-1953	379	8	~	~	PUNCT
iajs-1953	379	9	,	,	PUNCT
iajs-1953	379	10	(	(	PUNCT
iajs-1953	379	11	1	1	NUM
iajs-1953	379	12	pu	pu	PROPN
iajs-1953	379	13	τ	τ	PROPN
iajs-1953	379	14	or	or	CCONJ
iajs-1953	379	15	)	)	PUNCT
iajs-1953	379	16	,	,	PUNCT
iajs-1953	379	17	~	~	PUNCT
iajs-1953	379	18	,	,	PUNCT
iajs-1953	379	19	(	(	PUNCT
iajs-1953	379	20	2	2	NUM
iajs-1953	379	21	pu	pu	PROPN
iajs-1953	379	22	τ	τ	PROPN
iajs-1953	379	23	is	be	AUX
iajs-1953	379	24	a	a	DET
iajs-1953	379	25	soft	soft	ADJ
iajs-1953	379	26	2	2	NUM
iajs-1953	379	27	~	~	PUNCT
iajs-1953	379	28	t	t	NOUN
iajs-1953	379	29	-space	-space	NOUN
iajs-1953	379	30	,	,	PUNCT
iajs-1953	379	31	then	then	ADV
iajs-1953	379	32	)	)	PUNCT
iajs-1953	379	33	,	,	PUNCT
iajs-1953	379	34	~,~	~,~	NUM
iajs-1953	379	35	,	,	PUNCT
iajs-1953	379	36	(	(	PUNCT
iajs-1953	379	37	21	21	NUM
iajs-1953	379	38	pu	pu	PROPN
iajs-1953	379	39	ττ	ττ	PROPN
iajs-1953	379	40	is	be	AUX
iajs-1953	379	41	a	a	DET
iajs-1953	379	42	soft	soft	ADJ
iajs-1953	379	43	(	(	PUNCT
iajs-1953	379	44	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	379	45	~	~	PUNCT
iajs-1953	379	46	t	t	NOUN
iajs-1953	379	47	-space	-space	NOUN
iajs-1953	379	48	(	(	PUNCT
iajs-1953	379	49	resp	resp	NOUN
iajs-1953	379	50	.	.	PUNCT
iajs-1953	380	1	soft	soft	ADJ
iajs-1953	380	2	(	(	PUNCT
iajs-1953	380	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	380	4	-	-	NUM
iajs-1953	380	5	ω2	ω2	NOUN
iajs-1953	380	6	~	~	PUNCT
iajs-1953	380	7	t	t	NOUN
iajs-1953	380	8	-space	-space	NOUN
iajs-1953	380	9	,	,	PUNCT
iajs-1953	380	10	soft	soft	ADJ
iajs-1953	380	11	(	(	PUNCT
iajs-1953	380	12	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	380	13	-	-	PUNCT
iajs-1953	380	14	ω2	ω2	NOUN
iajs-1953	380	15	~	~	PUNCT
iajs-1953	380	16	t	t	NOUN
iajs-1953	380	17	-space	-space	NOUN
iajs-1953	380	18	,	,	PUNCT
iajs-1953	380	19	soft	soft	ADJ
iajs-1953	380	20	(	(	PUNCT
iajs-1953	380	21	1,2)*-bω2	1,2)*-bω2	PROPN
iajs-1953	380	22	~	~	PUNCT
iajs-1953	380	23	t	t	NOUN
iajs-1953	380	24	-space	-space	NOUN
iajs-1953	380	25	,	,	PUNCT
iajs-1953	380	26	soft	soft	ADJ
iajs-1953	380	27	(	(	PUNCT
iajs-1953	380	28	1,2)*-β	1,2)*-β	NUM
iajs-1953	380	29	-	-	PUNCT
iajs-1953	380	30	ω2	ω2	NOUN
iajs-1953	380	31	~	~	PUNCT
iajs-1953	380	32	t	t	NOUN
iajs-1953	380	33	-space	-space	NOUN
iajs-1953	380	34	)	)	PUNCT
iajs-1953	380	35	.	.	PUNCT
iajs-1953	381	1	proof	proof	NOUN
iajs-1953	381	2	:	:	PUNCT
iajs-1953	381	3	it	it	PRON
iajs-1953	381	4	follows	follow	VERB
iajs-1953	381	5	from	from	ADP
iajs-1953	381	6	the	the	DET
iajs-1953	381	7	fact	fact	NOUN
iajs-1953	381	8	~~	~~	X
iajs-1953	381	9	iτ	iτ	NOUN
iajs-1953	381	10	soft	soft	ADJ
iajs-1953	381	11	21	21	NUM
iajs-1953	381	12	~~	~~	NUM
iajs-1953	381	13	ττ	ττ	NOUN
iajs-1953	381	14	-open	-open	PROPN
iajs-1953	381	15	sets	set	NOUN
iajs-1953	381	16	inu	inu	NOUN
iajs-1953	381	17	~	~	PUNCT
iajs-1953	381	18	,	,	PUNCT
iajs-1953	381	19	2,1i	2,1i	NUM
iajs-1953	381	20	and	and	CCONJ
iajs-1953	381	21	proposition	proposition	NOUN
iajs-1953	381	22	(	(	PUNCT
iajs-1953	381	23	2.38	2.38	NUM
iajs-1953	381	24	)	)	PUNCT
iajs-1953	381	25	.	.	PUNCT
iajs-1953	382	1	remark	remark	NOUN
iajs-1953	382	2	(	(	PUNCT
iajs-1953	382	3	2.49	2.49	NUM
iajs-1953	382	4	):	):	PUNCT
iajs-1953	382	5	the	the	DET
iajs-1953	382	6	converse	converse	NOUN
iajs-1953	382	7	of	of	ADP
iajs-1953	382	8	proposition	proposition	NOUN
iajs-1953	382	9	(	(	PUNCT
iajs-1953	382	10	2.48	2.48	NUM
iajs-1953	382	11	)	)	PUNCT
iajs-1953	382	12	is	be	AUX
iajs-1953	382	13	not	not	PART
iajs-1953	382	14	true	true	ADJ
iajs-1953	382	15	in	in	ADP
iajs-1953	382	16	general	general	ADJ
iajs-1953	382	17	.	.	PUNCT
iajs-1953	383	1	we	we	PRON
iajs-1953	383	2	see	see	VERB
iajs-1953	383	3	that	that	SCONJ
iajs-1953	383	4	by	by	ADP
iajs-1953	383	5	the	the	DET
iajs-1953	383	6	following	follow	VERB
iajs-1953	383	7	example	example	NOUN
iajs-1953	383	8	:	:	PUNCT
iajs-1953	383	9	example	example	NOUN
iajs-1953	383	10	(	(	PUNCT
iajs-1953	383	11	2.50	2.50	NUM
iajs-1953	383	12	):	):	PUNCT
iajs-1953	383	13	let	let	VERB
iajs-1953	383	14	}	}	PUNCT
iajs-1953	383	15	,	,	PUNCT
iajs-1953	383	16	,	,	PUNCT
iajs-1953	383	17	,	,	PUNCT
iajs-1953	383	18	{	{	PUNCT
iajs-1953	383	19	dcbau	dcbau	NOUN
iajs-1953	383	20			PRON
iajs-1953	383	21	and	and	CCONJ
iajs-1953	383	22	}	}	PUNCT
iajs-1953	383	23	,	,	PUNCT
iajs-1953	383	24	{	{	PUNCT
iajs-1953	383	25	21	21	NUM
iajs-1953	383	26	ppp	ppp	NOUN
iajs-1953	383	27			NOUN
iajs-1953	383	28	and	and	CCONJ
iajs-1953	383	29	let	let	VERB
iajs-1953	383	30	)	)	PUNCT
iajs-1953	383	31	}	}	PUNCT
iajs-1953	383	32	,	,	PUNCT
iajs-1953	383	33	(	(	PUNCT
iajs-1953	383	34	,	,	PUNCT
iajs-1953	383	35	~	~	PROPN
iajs-1953	383	36	,	,	PUNCT
iajs-1953	383	37	~	~	PUNCT
iajs-1953	383	38	{	{	PUNCT
iajs-1953	383	39	~	~	PUNCT
iajs-1953	383	40	11	11	NUM
iajs-1953	383	41	phu	phu	NOUN
iajs-1953	383	42	φτ	φτ	ADP
iajs-1953	383	43			PROPN
iajs-1953	383	44	and	and	CCONJ
iajs-1953	383	45	)	)	PUNCT
iajs-1953	383	46	}	}	PUNCT
iajs-1953	383	47	,	,	PUNCT
iajs-1953	383	48	(	(	PUNCT
iajs-1953	383	49	,	,	PUNCT
iajs-1953	383	50	~	~	PROPN
iajs-1953	383	51	,	,	PUNCT
iajs-1953	383	52	~	~	PUNCT
iajs-1953	383	53	{	{	PUNCT
iajs-1953	383	54	~	~	PUNCT
iajs-1953	383	55	22	22	NUM
iajs-1953	383	56	phu	phu	NOUN
iajs-1953	383	57	φτ	φτ	PROPN
iajs-1953	383	58			PROPN
iajs-1953	383	59	be	be	AUX
iajs-1953	383	60	soft	soft	ADJ
iajs-1953	383	61	topologies	topology	NOUN
iajs-1953	383	62	over	over	ADP
iajs-1953	383	63	u	u	NOUN
iajs-1953	383	64	,	,	PUNCT
iajs-1953	383	65	where	where	SCONJ
iajs-1953	383	66			NOUN
iajs-1953	383	67	)	)	PUNCT
iajs-1953	383	68	,	,	PUNCT
iajs-1953	383	69	(	(	PUNCT
iajs-1953	383	70	1	1	NUM
iajs-1953	383	71	ph	ph	NOUN
iajs-1953	383	72	}	}	PUNCT
iajs-1953	383	73	)	)	PUNCT
iajs-1953	383	74	,	,	PUNCT
iajs-1953	383	75	,	,	PUNCT
iajs-1953	383	76	{	{	PUNCT
iajs-1953	383	77	,	,	PUNCT
iajs-1953	383	78	{	{	PUNCT
iajs-1953	383	79	(	(	PUNCT
iajs-1953	383	80	1	1	NUM
iajs-1953	383	81	bap	bap	NOUN
iajs-1953	383	82	}	}	PUNCT
iajs-1953	383	83	)	)	PUNCT
iajs-1953	383	84	}	}	PUNCT
iajs-1953	383	85	,	,	PUNCT
iajs-1953	383	86	{	{	PUNCT
iajs-1953	383	87	,	,	PUNCT
iajs-1953	383	88	(	(	PUNCT
iajs-1953	383	89	2	2	NUM
iajs-1953	383	90	bap	bap	NOUN
iajs-1953	383	91	and	and	CCONJ
iajs-1953	383	92			NUM
iajs-1953	383	93	)	)	PUNCT
iajs-1953	383	94	,	,	PUNCT
iajs-1953	383	95	(	(	PUNCT
iajs-1953	383	96	2	2	NUM
iajs-1953	383	97	ph	ph	NOUN
iajs-1953	383	98	}	}	PUNCT
iajs-1953	383	99	)	)	PUNCT
iajs-1953	383	100	}	}	PUNCT
iajs-1953	383	101	{	{	PUNCT
iajs-1953	383	102	,	,	PUNCT
iajs-1953	383	103	(	(	PUNCT
iajs-1953	383	104	}	}	PUNCT
iajs-1953	383	105	)	)	PUNCT
iajs-1953	383	106	,	,	PUNCT
iajs-1953	383	107	{	{	PUNCT
iajs-1953	383	108	,	,	PUNCT
iajs-1953	383	109	{	{	PUNCT
iajs-1953	383	110	(	(	PUNCT
iajs-1953	383	111	21	21	NUM
iajs-1953	383	112	apap	apap	NOUN
iajs-1953	383	113	.	.	PUNCT
iajs-1953	384	1	the	the	DET
iajs-1953	384	2	soft	soft	ADJ
iajs-1953	384	3	sets	set	NOUN
iajs-1953	384	4	in	in	ADP
iajs-1953	384	5	)	)	PUNCT
iajs-1953	384	6	,	,	PUNCT
iajs-1953	384	7	,	,	PUNCT
iajs-1953	384	8	(	(	PUNCT
iajs-1953	384	9	,	,	PUNCT
iajs-1953	384	10	~	~	PROPN
iajs-1953	384	11	,	,	PUNCT
iajs-1953	384	12	~	~	PUNCT
iajs-1953	384	13	{	{	PUNCT
iajs-1953	384	14	1	1	NUM
iajs-1953	384	15	phu	phu	NOUN
iajs-1953	384	16	φ	φ	PROPN
iajs-1953	384	17	)	)	PUNCT
iajs-1953	384	18	}	}	PUNCT
iajs-1953	384	19	,	,	PUNCT
iajs-1953	384	20	(	(	PUNCT
iajs-1953	384	21	2	2	NUM
iajs-1953	384	22	ph	ph	NOUN
iajs-1953	384	23	are	be	AUX
iajs-1953	384	24	soft	soft	ADJ
iajs-1953	384	25	21	21	NUM
iajs-1953	384	26	~~	~~	NUM
iajs-1953	384	27	ττ	ττ	PART
iajs-1953	384	28	-open	-open	PROPN
iajs-1953	384	29	.	.	PUNCT
iajs-1953	385	1	thus	thus	ADV
iajs-1953	385	2	)	)	PUNCT
iajs-1953	385	3	,	,	PUNCT
iajs-1953	385	4	~,~	~,~	NUM
iajs-1953	385	5	,	,	PUNCT
iajs-1953	385	6	(	(	PUNCT
iajs-1953	385	7	21	21	NUM
iajs-1953	385	8	pu	pu	PROPN
iajs-1953	385	9	ττ	ττ	PROPN
iajs-1953	385	10	is	be	AUX
iajs-1953	385	11	a	a	DET
iajs-1953	385	12	soft	soft	ADJ
iajs-1953	385	13	(	(	PUNCT
iajs-1953	385	14	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	385	15	~	~	PUNCT
iajs-1953	385	16	t	t	NOUN
iajs-1953	385	17	-space	-space	NOUN
iajs-1953	385	18	(	(	PUNCT
iajs-1953	385	19	resp	resp	NOUN
iajs-1953	385	20	.	.	PUNCT
iajs-1953	386	1	soft	soft	ADJ
iajs-1953	386	2	(	(	PUNCT
iajs-1953	386	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	386	4	-	-	NUM
iajs-1953	386	5	ω2	ω2	NOUN
iajs-1953	386	6	~	~	PUNCT
iajs-1953	386	7	t	t	NOUN
iajs-1953	386	8	-space	-space	NOUN
iajs-1953	386	9	,	,	PUNCT
iajs-1953	386	10	soft	soft	ADJ
iajs-1953	386	11	(	(	PUNCT
iajs-1953	386	12	1,2)*https://doi.org/10.30526/31.2.19523	1,2)*https://doi.org/10.30526/31.2.19523	NUM
iajs-1953	386	13	https://doi.org/10.30526/31.2.1953	https://doi.org/10.30526/31.2.1953	NOUN
iajs-1953	386	14	mathmatics	mathmatics	PROPN
iajs-1953	386	15	|	|	ADV
iajs-1953	386	16	149	149	NUM
iajs-1953	386	17	8201	8201	NUM
iajs-1953	386	18	(	(	PUNCT
iajs-1953	386	19	عام	عام	ADP
iajs-1953	386	20	2العدد	2العدد	NUM
iajs-1953	386	21	)	)	PUNCT
iajs-1953	386	22	13لمجلد	13لمجلد	NUM
iajs-1953	387	1	ا	ا	INTJ
iajs-1953	388	1	مجلة	مجلة	PROPN
iajs-1953	388	2	إبن	إبن	VERB
iajs-1953	388	3	الهيثم	الهيثم	ADJ
iajs-1953	388	4	للعلوم	للعلوم	NOUN
iajs-1953	388	5	الصرفة	الصرفة	NOUN
iajs-1953	389	1	و	و	PRON
iajs-1953	389	2	التطبيقية	التطبيقية	ADJ
iajs-1953	389	3	ibn	ibn	PROPN
iajs-1953	389	4	al	al	PROPN
iajs-1953	389	5	-	-	PUNCT
iajs-1953	389	6	haitham	haitham	PROPN
iajs-1953	389	7	jour	jour	X
iajs-1953	389	8	.	.	PROPN
iajs-1953	389	9	for	for	ADP
iajs-1953	389	10	pure	pure	ADJ
iajs-1953	389	11	&	&	CCONJ
iajs-1953	389	12	appl	appl	PROPN
iajs-1953	389	13	.	.	PUNCT
iajs-1953	390	1	sci	sci	PROPN
iajs-1953	390	2	.	.	PUNCT
iajs-1953	390	3	vol	vol	NOUN
iajs-1953	390	4	.	.	PROPN
iajs-1953	391	1	31	31	NUM
iajs-1953	391	2	(	(	PUNCT
iajs-1953	391	3	2	2	NUM
iajs-1953	391	4	)	)	PUNCT
iajs-1953	391	5	2018	2018	NUM
iajs-1953	391	6	pre	pre	ADJ
iajs-1953	391	7	-	-	ADJ
iajs-1953	391	8	ω2	ω2	ADJ
iajs-1953	391	9	~	~	PUNCT
iajs-1953	391	10	t	t	NOUN
iajs-1953	391	11	-space	-space	NOUN
iajs-1953	391	12	,	,	PUNCT
iajs-1953	391	13	soft	soft	ADJ
iajs-1953	391	14	(	(	PUNCT
iajs-1953	391	15	1,2)*-b	1,2)*-b	NUM
iajs-1953	391	16	-	-	PUNCT
iajs-1953	391	17	ω2	ω2	NOUN
iajs-1953	391	18	~	~	PUNCT
iajs-1953	391	19	t	t	NOUN
iajs-1953	391	20	-space	-space	NOUN
iajs-1953	391	21	,	,	PUNCT
iajs-1953	391	22	soft	soft	ADJ
iajs-1953	391	23	(	(	PUNCT
iajs-1953	391	24	1,2)*-β	1,2)*-β	NUM
iajs-1953	391	25	-	-	PUNCT
iajs-1953	391	26	ω2	ω2	NOUN
iajs-1953	391	27	~	~	PUNCT
iajs-1953	391	28	t	t	NOUN
iajs-1953	391	29	-space	-space	NOUN
iajs-1953	391	30	)	)	PUNCT
iajs-1953	391	31	,	,	PUNCT
iajs-1953	391	32	but	but	CCONJ
iajs-1953	391	33	both	both	PRON
iajs-1953	391	34	)	)	PUNCT
iajs-1953	391	35	,	,	PUNCT
iajs-1953	391	36	~	~	PUNCT
iajs-1953	391	37	,	,	PUNCT
iajs-1953	391	38	(	(	PUNCT
iajs-1953	391	39	1	1	NUM
iajs-1953	391	40	pu	pu	PROPN
iajs-1953	391	41	τ	τ	PROPN
iajs-1953	391	42	and	and	CCONJ
iajs-1953	391	43	)	)	PUNCT
iajs-1953	391	44	,	,	PUNCT
iajs-1953	391	45	~	~	PUNCT
iajs-1953	391	46	,	,	PUNCT
iajs-1953	391	47	(	(	PUNCT
iajs-1953	391	48	2	2	NUM
iajs-1953	391	49	pu	pu	PROPN
iajs-1953	391	50	τ	τ	PROPN
iajs-1953	391	51	are	be	AUX
iajs-1953	391	52	not	not	PART
iajs-1953	391	53	soft	soft	ADJ
iajs-1953	391	54	2	2	NUM
iajs-1953	391	55	~	~	PUNCT
iajs-1953	391	56	t	t	NOUN
iajs-1953	391	57	-space	-space	NOUN
iajs-1953	391	58	.	.	PUNCT
iajs-1953	392	1	definition	definition	NOUN
iajs-1953	392	2	(	(	PUNCT
iajs-1953	392	3	2.51	2.51	NUM
iajs-1953	392	4	):	):	PUNCT
iajs-1953	392	5	a	a	DET
iajs-1953	392	6	soft	soft	ADJ
iajs-1953	392	7	function	function	NOUN
iajs-1953	392	8	)	)	PUNCT
iajs-1953	392	9	,	,	PUNCT
iajs-1953	392	10	~,~,(),~,~	~,~,(),~,~	X
iajs-1953	392	11	,	,	PUNCT
iajs-1953	392	12	(:	(:	VERB
iajs-1953	392	13	2121	2121	NUM
iajs-1953	392	14	pvpuf	pvpuf	ADJ
iajs-1953	392	15	σσττ	σσττ	ADJ
iajs-1953	392	16			PROPN
iajs-1953	392	17	is	be	AUX
iajs-1953	392	18	called	call	VERB
iajs-1953	392	19	strongly	strongly	ADV
iajs-1953	392	20	soft	soft	ADJ
iajs-1953	392	21	(	(	PUNCT
iajs-1953	392	22	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	392	23	-	-	ADJ
iajs-1953	392	24	continuous	continuous	ADJ
iajs-1953	392	25	(	(	PUNCT
iajs-1953	392	26	resp	resp	NOUN
iajs-1953	392	27	.	.	PUNCT
iajs-1953	393	1	strongly	strongly	ADV
iajs-1953	393	2	soft	soft	ADJ
iajs-1953	393	3	(	(	PUNCT
iajs-1953	393	4	1,2)*-α	1,2)*-α	NUM
iajs-1953	393	5	-	-	PUNCT
iajs-1953	393	6	ω	ω	NOUN
iajs-1953	393	7	-	-	ADJ
iajs-1953	393	8	continuous	continuous	ADJ
iajs-1953	393	9	,	,	PUNCT
iajs-1953	393	10	strongly	strongly	ADV
iajs-1953	393	11	soft	soft	ADJ
iajs-1953	393	12	(	(	PUNCT
iajs-1953	393	13	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	393	14	-	-	ADJ
iajs-1953	393	15	ωcontinuous	ωcontinuous	ADJ
iajs-1953	393	16	,	,	PUNCT
iajs-1953	393	17	strongly	strongly	ADV
iajs-1953	393	18	soft	soft	ADJ
iajs-1953	393	19	(	(	PUNCT
iajs-1953	393	20	1,2)*-b	1,2)*-b	NUM
iajs-1953	393	21	-	-	PUNCT
iajs-1953	393	22	ω	ω	NOUN
iajs-1953	393	23	-	-	ADJ
iajs-1953	393	24	continuous	continuous	ADJ
iajs-1953	393	25	,	,	PUNCT
iajs-1953	393	26	strongly	strongly	ADV
iajs-1953	393	27	soft	soft	ADJ
iajs-1953	393	28	(	(	PUNCT
iajs-1953	393	29	1,2)*-β	1,2)*-β	NUM
iajs-1953	393	30	-	-	PUNCT
iajs-1953	393	31	ω	ω	NOUN
iajs-1953	393	32	-	-	ADJ
iajs-1953	393	33	continuous	continuous	ADJ
iajs-1953	393	34	)	)	PUNCT
iajs-1953	393	35	if	if	SCONJ
iajs-1953	393	36	)	)	PUNCT
iajs-1953	393	37	)	)	PUNCT
iajs-1953	394	1	,	,	PUNCT
iajs-1953	394	2	(	(	PUNCT
iajs-1953	394	3	(	(	PUNCT
iajs-1953	394	4	1	1	NUM
iajs-1953	394	5	phf	phf	NOUN
iajs-1953	394	6			PROPN
iajs-1953	394	7	is	be	AUX
iajs-1953	394	8	a	a	DET
iajs-1953	394	9	soft	soft	ADJ
iajs-1953	394	10	21	21	NUM
iajs-1953	394	11	~~	~~	NUM
iajs-1953	394	12	ττ	ττ	PART
iajs-1953	394	13	-open	-open	PROPN
iajs-1953	394	14	set	set	VERB
iajs-1953	394	15	in	in	ADP
iajs-1953	394	16	u	u	NOUN
iajs-1953	394	17	~	~	PUNCT
iajs-1953	394	18	for	for	ADP
iajs-1953	394	19	each	each	DET
iajs-1953	394	20	soft	soft	ADJ
iajs-1953	394	21	(	(	PUNCT
iajs-1953	394	22	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	394	23	-	-	ADJ
iajs-1953	394	24	open	open	ADJ
iajs-1953	394	25	(	(	PUNCT
iajs-1953	394	26	resp	resp	NOUN
iajs-1953	394	27	.	.	PUNCT
iajs-1953	395	1	soft	soft	ADJ
iajs-1953	395	2	(	(	PUNCT
iajs-1953	395	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	395	4	-	-	PUNCT
iajs-1953	395	5	ωopen	ωopen	ADJ
iajs-1953	395	6	,	,	PUNCT
iajs-1953	395	7	soft	soft	ADJ
iajs-1953	395	8	(	(	PUNCT
iajs-1953	395	9	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	395	10	-	-	PUNCT
iajs-1953	395	11	ω	ω	VERB
iajs-1953	395	12	-	-	ADJ
iajs-1953	395	13	open	open	ADJ
iajs-1953	395	14	,	,	PUNCT
iajs-1953	395	15	soft	soft	ADJ
iajs-1953	395	16	(	(	PUNCT
iajs-1953	395	17	1,2)*-b	1,2)*-b	NUM
iajs-1953	395	18	-	-	PUNCT
iajs-1953	395	19	ω	ω	NOUN
iajs-1953	395	20	-	-	ADJ
iajs-1953	395	21	open	open	ADJ
iajs-1953	395	22	,	,	PUNCT
iajs-1953	395	23	soft	soft	ADJ
iajs-1953	395	24	(	(	PUNCT
iajs-1953	395	25	1,2)*-β	1,2)*-β	NUM
iajs-1953	395	26	-	-	PUNCT
iajs-1953	395	27	ω	ω	NOUN
iajs-1953	395	28	-	-	ADJ
iajs-1953	395	29	open	open	ADJ
iajs-1953	395	30	)	)	PUNCT
iajs-1953	395	31	set	set	NOUN
iajs-1953	395	32	)	)	PUNCT
iajs-1953	395	33	,	,	PUNCT
iajs-1953	395	34	(	(	PUNCT
iajs-1953	395	35	ph	ph	NOUN
iajs-1953	395	36	inv	inv	NOUN
iajs-1953	395	37	~	~	PUNCT
iajs-1953	395	38	.	.	PUNCT
iajs-1953	396	1	theorem	theorem	NOUN
iajs-1953	396	2	(	(	PUNCT
iajs-1953	396	3	2.52	2.52	NUM
iajs-1953	396	4	):	):	PUNCT
iajs-1953	396	5	let	let	NOUN
iajs-1953	396	6	)	)	PUNCT
iajs-1953	396	7	,	,	PUNCT
iajs-1953	396	8	~,~,(),~,~	~,~,(),~,~	X
iajs-1953	396	9	,	,	PUNCT
iajs-1953	396	10	(:	(:	VERB
iajs-1953	396	11	2121	2121	NUM
iajs-1953	396	12	pvpuf	pvpuf	ADJ
iajs-1953	396	13	σσττ	σσττ	PROPN
iajs-1953	396	14			PUNCT
iajs-1953	396	15	be	be	AUX
iajs-1953	396	16	a	a	DET
iajs-1953	396	17	strongly	strongly	ADV
iajs-1953	396	18	soft	soft	ADJ
iajs-1953	396	19	(	(	PUNCT
iajs-1953	396	20	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	396	21	-	-	ADJ
iajs-1953	396	22	continuous	continuous	ADJ
iajs-1953	396	23	(	(	PUNCT
iajs-1953	396	24	resp	resp	NOUN
iajs-1953	396	25	.	.	PUNCT
iajs-1953	397	1	strongly	strongly	ADV
iajs-1953	397	2	soft	soft	ADJ
iajs-1953	397	3	(	(	PUNCT
iajs-1953	397	4	1,2)*-α	1,2)*-α	NUM
iajs-1953	397	5	-	-	PUNCT
iajs-1953	397	6	ω	ω	NOUN
iajs-1953	397	7	-	-	ADJ
iajs-1953	397	8	continuous	continuous	ADJ
iajs-1953	397	9	,	,	PUNCT
iajs-1953	397	10	strongly	strongly	ADV
iajs-1953	397	11	soft	soft	ADJ
iajs-1953	397	12	(	(	PUNCT
iajs-1953	397	13	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	397	14	-	-	PUNCT
iajs-1953	397	15	ω	ω	NOUN
iajs-1953	397	16	-	-	ADJ
iajs-1953	397	17	continuous	continuous	ADJ
iajs-1953	397	18	,	,	PUNCT
iajs-1953	397	19	strongly	strongly	ADV
iajs-1953	397	20	soft	soft	ADJ
iajs-1953	397	21	(	(	PUNCT
iajs-1953	397	22	1,2)*-b	1,2)*-b	NUM
iajs-1953	397	23	-	-	PUNCT
iajs-1953	397	24	ω	ω	NOUN
iajs-1953	397	25	-	-	ADJ
iajs-1953	397	26	continuous	continuous	ADJ
iajs-1953	397	27	,	,	PUNCT
iajs-1953	397	28	strongly	strongly	ADV
iajs-1953	397	29	soft	soft	ADJ
iajs-1953	397	30	(	(	PUNCT
iajs-1953	397	31	1,2)*-β	1,2)*-β	NUM
iajs-1953	397	32	-	-	PUNCT
iajs-1953	397	33	ω	ω	NOUN
iajs-1953	397	34	-	-	ADJ
iajs-1953	397	35	continuous	continuous	ADJ
iajs-1953	397	36	)	)	PUNCT
iajs-1953	397	37	injective	injective	ADJ
iajs-1953	397	38	function	function	NOUN
iajs-1953	397	39	.	.	PUNCT
iajs-1953	398	1	if	if	SCONJ
iajs-1953	398	2	)	)	PUNCT
iajs-1953	398	3	,	,	PUNCT
iajs-1953	398	4	~,~	~,~	NUM
iajs-1953	398	5	,	,	PUNCT
iajs-1953	398	6	(	(	PUNCT
iajs-1953	398	7	21	21	NUM
iajs-1953	398	8	pv	pv	NOUN
iajs-1953	398	9	σσ	σσ	ADV
iajs-1953	398	10	is	be	AUX
iajs-1953	398	11	a	a	DET
iajs-1953	398	12	soft	soft	ADJ
iajs-1953	398	13	(	(	PUNCT
iajs-1953	398	14	1,2)*-ωit	1,2)*-ωit	NUM
iajs-1953	398	15	~	~	SYM
iajs-1953	398	16	-space	-space	NOUN
iajs-1953	398	17	(	(	PUNCT
iajs-1953	398	18	resp	resp	NOUN
iajs-1953	398	19	.	.	PUNCT
iajs-1953	399	1	soft	soft	ADJ
iajs-1953	399	2	(	(	PUNCT
iajs-1953	399	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	399	4	-	-	PUNCT
iajs-1953	399	5	ωit	ωit	NOUN
iajs-1953	399	6	~	~	SYM
iajs-1953	399	7	-space	-space	NOUN
iajs-1953	399	8	,	,	PUNCT
iajs-1953	399	9	soft	soft	ADJ
iajs-1953	399	10	(	(	PUNCT
iajs-1953	399	11	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	399	12	-	-	PUNCT
iajs-1953	399	13	ωit	ωit	NOUN
iajs-1953	399	14	~	~	SYM
iajs-1953	399	15	-space	-space	NOUN
iajs-1953	399	16	,	,	PUNCT
iajs-1953	399	17	soft	soft	ADJ
iajs-1953	399	18	(	(	PUNCT
iajs-1953	399	19	1,2)*-b	1,2)*-b	NUM
iajs-1953	399	20	-	-	PUNCT
iajs-1953	399	21	ωit	ωit	NOUN
iajs-1953	399	22	~	~	SYM
iajs-1953	399	23	-space	-space	NOUN
iajs-1953	399	24	,	,	PUNCT
iajs-1953	399	25	soft	soft	ADJ
iajs-1953	399	26	(	(	PUNCT
iajs-1953	399	27	1,2)*-β	1,2)*-β	NUM
iajs-1953	399	28	-	-	PUNCT
iajs-1953	399	29	ωit	ωit	NOUN
iajs-1953	399	30	~	~	SYM
iajs-1953	399	31	-space	-space	NOUN
iajs-1953	399	32	,	,	PUNCT
iajs-1953	399	33	then	then	ADV
iajs-1953	399	34	)	)	PUNCT
iajs-1953	399	35	,	,	PUNCT
iajs-1953	399	36	~,~	~,~	NUM
iajs-1953	399	37	,	,	PUNCT
iajs-1953	399	38	(	(	PUNCT
iajs-1953	399	39	21	21	NUM
iajs-1953	399	40	pu	pu	PROPN
iajs-1953	399	41	ττ	ττ	PROPN
iajs-1953	399	42	is	be	AUX
iajs-1953	399	43	a	a	DET
iajs-1953	399	44	soft	soft	ADJ
iajs-1953	399	45	(	(	PUNCT
iajs-1953	399	46	1,2)*it	1,2)*it	NUM
iajs-1953	399	47	~	~	SYM
iajs-1953	399	48	-space	-space	NOUN
iajs-1953	399	49	,	,	PUNCT
iajs-1953	399	50	for	for	ADP
iajs-1953	399	51	2,1,,0	2,1,,0	NUM
iajs-1953	399	52	2	2	NUM
iajs-1953	399	53	1i	1i	NUM
iajs-1953	399	54	.	.	PUNCT
iajs-1953	400	1	proof	proof	NOUN
iajs-1953	400	2	:	:	PUNCT
iajs-1953	400	3	suppose	suppose	VERB
iajs-1953	400	4	that	that	SCONJ
iajs-1953	400	5	)	)	PUNCT
iajs-1953	400	6	,	,	PUNCT
iajs-1953	400	7	~,~	~,~	NUM
iajs-1953	400	8	,	,	PUNCT
iajs-1953	400	9	(	(	PUNCT
iajs-1953	400	10	21	21	NUM
iajs-1953	400	11	pv	pv	NOUN
iajs-1953	400	12	σσ	σσ	ADV
iajs-1953	400	13	is	be	AUX
iajs-1953	400	14	a	a	DET
iajs-1953	400	15	soft	soft	ADJ
iajs-1953	400	16	(	(	PUNCT
iajs-1953	400	17	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	400	18	~	~	PUNCT
iajs-1953	400	19	t	t	NOUN
iajs-1953	400	20	-space	-space	NOUN
iajs-1953	400	21	.	.	PUNCT
iajs-1953	401	1	let	let	VERB
iajs-1953	401	2	uyx	uyx	NOUN
iajs-1953	401	3	~~~,~	~~~,~	PUNCT
iajs-1953	401	4			NOUN
iajs-1953	401	5	such	such	ADJ
iajs-1953	401	6	that	that	DET
iajs-1953	401	7	yx	yx	PROPN
iajs-1953	401	8	~~	~~	PROPN
iajs-1953	401	9			PROPN
iajs-1953	401	10	.	.	PUNCT
iajs-1953	402	1	since	since	SCONJ
iajs-1953	402	2	f	f	PROPN
iajs-1953	402	3	is	be	AUX
iajs-1953	402	4	injective	injective	ADJ
iajs-1953	402	5	and	and	CCONJ
iajs-1953	402	6	)	)	PUNCT
iajs-1953	402	7	,	,	PUNCT
iajs-1953	402	8	~,~	~,~	NUM
iajs-1953	402	9	,	,	PUNCT
iajs-1953	402	10	(	(	PUNCT
iajs-1953	402	11	21	21	NUM
iajs-1953	402	12	pv	pv	NOUN
iajs-1953	402	13	σσ	σσ	ADV
iajs-1953	402	14	is	be	AUX
iajs-1953	402	15	a	a	DET
iajs-1953	402	16	soft	soft	ADJ
iajs-1953	402	17	(	(	PUNCT
iajs-1953	402	18	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	402	19	~	~	PUNCT
iajs-1953	402	20	t	t	NOUN
iajs-1953	402	21	-space	-space	NOUN
iajs-1953	402	22	,	,	PUNCT
iajs-1953	402	23	then	then	ADV
iajs-1953	402	24	there	there	PRON
iajs-1953	402	25	exists	exist	VERB
iajs-1953	402	26	disjoint	disjoint	ADV
iajs-1953	402	27	soft	soft	ADJ
iajs-1953	402	28	(	(	PUNCT
iajs-1953	402	29	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	402	30	-	-	PUNCT
iajs-1953	402	31	open	open	ADJ
iajs-1953	402	32	sets	set	NOUN
iajs-1953	402	33	)	)	PUNCT
iajs-1953	402	34	,	,	PUNCT
iajs-1953	402	35	(	(	PUNCT
iajs-1953	402	36	1	1	NUM
iajs-1953	402	37	ph	ph	NOUN
iajs-1953	402	38	and	and	CCONJ
iajs-1953	402	39	)	)	PUNCT
iajs-1953	402	40	,	,	PUNCT
iajs-1953	402	41	(	(	PUNCT
iajs-1953	402	42	2	2	NUM
iajs-1953	402	43	ph	ph	NOUN
iajs-1953	402	44	inv	inv	NOUN
iajs-1953	402	45	~	~	PUNCT
iajs-1953	402	46	such	such	ADJ
iajs-1953	402	47	that	that	PRON
iajs-1953	402	48	)	)	PUNCT
iajs-1953	402	49	,	,	PUNCT
iajs-1953	402	50	(	(	PUNCT
iajs-1953	402	51	~)~	~)~	X
iajs-1953	402	52	(	(	PUNCT
iajs-1953	402	53	1	1	NUM
iajs-1953	402	54	phxf	phxf	NOUN
iajs-1953	402	55			NOUN
iajs-1953	402	56	and	and	CCONJ
iajs-1953	402	57	)	)	PUNCT
iajs-1953	402	58	,	,	PUNCT
iajs-1953	402	59	(	(	PUNCT
iajs-1953	402	60	~)~	~)~	X
iajs-1953	402	61	(	(	PUNCT
iajs-1953	402	62	2	2	NUM
iajs-1953	402	63	phyf	phyf	NOUN
iajs-1953	402	64			NOUN
iajs-1953	402	65	.	.	PUNCT
iajs-1953	403	1	by	by	ADP
iajs-1953	403	2	definition	definition	NOUN
iajs-1953	403	3	(	(	PUNCT
iajs-1953	403	4	2.51	2.51	NUM
iajs-1953	403	5	)	)	PUNCT
iajs-1953	403	6	,	,	PUNCT
iajs-1953	403	7	)	)	PUNCT
iajs-1953	403	8	)	)	PUNCT
iajs-1953	403	9	,	,	PUNCT
iajs-1953	403	10	(	(	PUNCT
iajs-1953	403	11	(	(	PUNCT
iajs-1953	403	12	1	1	NUM
iajs-1953	403	13	1	1	NUM
iajs-1953	403	14	phf	phf	NOUN
iajs-1953	403	15			PROPN
iajs-1953	403	16	and	and	CCONJ
iajs-1953	403	17	)	)	PUNCT
iajs-1953	403	18	)	)	PUNCT
iajs-1953	403	19	,	,	PUNCT
iajs-1953	403	20	(	(	PUNCT
iajs-1953	403	21	(	(	PUNCT
iajs-1953	403	22	2	2	NUM
iajs-1953	403	23	1	1	NUM
iajs-1953	403	24	phf	phf	NOUN
iajs-1953	403	25			PROPN
iajs-1953	403	26	are	be	AUX
iajs-1953	403	27	soft	soft	ADJ
iajs-1953	403	28	21	21	NUM
iajs-1953	403	29	~~	~~	NUM
iajs-1953	403	30	ττ	ττ	NOUN
iajs-1953	403	31	-open	-open	PROPN
iajs-1953	403	32	sets	set	NOUN
iajs-1953	403	33	in	in	ADP
iajs-1953	403	34	u	u	NOUN
iajs-1953	403	35	~	~	PUNCT
iajs-1953	403	36	such	such	ADJ
iajs-1953	403	37	that	that	PRON
iajs-1953	403	38	)	)	PUNCT
iajs-1953	403	39	)	)	PUNCT
iajs-1953	403	40	,	,	PUNCT
iajs-1953	403	41	(	(	PUNCT
iajs-1953	403	42	(	(	PUNCT
iajs-1953	403	43	~~	~~	NUM
iajs-1953	403	44	1	1	NUM
iajs-1953	403	45	1	1	NUM
iajs-1953	403	46	phfx	phfx	NOUN
iajs-1953	403	47			PROPN
iajs-1953	403	48	,	,	PUNCT
iajs-1953	403	49	)	)	PUNCT
iajs-1953	403	50	)	)	PUNCT
iajs-1953	403	51	,	,	PUNCT
iajs-1953	403	52	(	(	PUNCT
iajs-1953	403	53	(	(	PUNCT
iajs-1953	403	54	~~	~~	NUM
iajs-1953	403	55	2	2	NUM
iajs-1953	403	56	1	1	NUM
iajs-1953	403	57	phfy	phfy	ADJ
iajs-1953	403	58			PROPN
iajs-1953	403	59	and	and	CCONJ
iajs-1953	403	60	φ~	φ~	NOUN
iajs-1953	403	61	)	)	PUNCT
iajs-1953	403	62	)	)	PUNCT
iajs-1953	403	63	,	,	PUNCT
iajs-1953	403	64	(	(	PUNCT
iajs-1953	403	65	(	(	PUNCT
iajs-1953	403	66	~	~	PUNCT
iajs-1953	403	67	)	)	PUNCT
iajs-1953	403	68	)	)	PUNCT
iajs-1953	403	69	,	,	PUNCT
iajs-1953	403	70	(	(	PUNCT
iajs-1953	403	71	(	(	PUNCT
iajs-1953	403	72	2	2	NUM
iajs-1953	403	73	1	1	NUM
iajs-1953	403	74	1	1	NUM
iajs-1953	403	75	1	1	NUM
iajs-1953	403	76			NOUN
iajs-1953	403	77	phfphf	phfphf	NOUN
iajs-1953	403	78			NOUN
iajs-1953	403	79	.	.	PUNCT
iajs-1953	404	1	hence	hence	ADV
iajs-1953	404	2	)	)	PUNCT
iajs-1953	404	3	,	,	PUNCT
iajs-1953	404	4	~,~	~,~	NUM
iajs-1953	404	5	,	,	PUNCT
iajs-1953	404	6	(	(	PUNCT
iajs-1953	404	7	21	21	NUM
iajs-1953	404	8	pu	pu	PROPN
iajs-1953	404	9	ττ	ττ	PROPN
iajs-1953	404	10	is	be	AUX
iajs-1953	404	11	a	a	DET
iajs-1953	404	12	soft	soft	ADJ
iajs-1953	404	13	(	(	PUNCT
iajs-1953	404	14	1,2)*2	1,2)*2	NUM
iajs-1953	404	15	~	~	PUNCT
iajs-1953	404	16	t	t	NOUN
iajs-1953	404	17	-space	-space	NOUN
iajs-1953	404	18	.	.	PUNCT
iajs-1953	405	1	similarly	similarly	ADV
iajs-1953	405	2	,	,	PUNCT
iajs-1953	405	3	we	we	PRON
iajs-1953	405	4	can	can	AUX
iajs-1953	405	5	prove	prove	VERB
iajs-1953	405	6	that	that	SCONJ
iajs-1953	405	7	other	other	ADJ
iajs-1953	405	8	cases	case	NOUN
iajs-1953	405	9	.	.	PUNCT
iajs-1953	406	1	definition	definition	NOUN
iajs-1953	406	2	(	(	PUNCT
iajs-1953	406	3	2.53	2.53	NUM
iajs-1953	406	4	):	):	PUNCT
iajs-1953	406	5	a	a	DET
iajs-1953	406	6	soft	soft	ADJ
iajs-1953	406	7	function	function	NOUN
iajs-1953	406	8	)	)	PUNCT
iajs-1953	406	9	,	,	PUNCT
iajs-1953	406	10	~,~,(),~,~	~,~,(),~,~	X
iajs-1953	406	11	,	,	PUNCT
iajs-1953	406	12	(:	(:	VERB
iajs-1953	406	13	2121	2121	NUM
iajs-1953	406	14	pvpuf	pvpuf	ADJ
iajs-1953	406	15	σσττ	σσττ	ADJ
iajs-1953	406	16			PROPN
iajs-1953	406	17	is	be	AUX
iajs-1953	406	18	called	call	VERB
iajs-1953	406	19	strongly	strongly	ADV
iajs-1953	406	20	soft	soft	ADJ
iajs-1953	406	21	(	(	PUNCT
iajs-1953	406	22	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	406	23	-	-	ADJ
iajs-1953	406	24	open	open	ADJ
iajs-1953	406	25	(	(	PUNCT
iajs-1953	406	26	resp	resp	NOUN
iajs-1953	406	27	.	.	PUNCT
iajs-1953	407	1	strongly	strongly	ADV
iajs-1953	407	2	soft	soft	ADJ
iajs-1953	407	3	(	(	PUNCT
iajs-1953	407	4	1,2)*-α	1,2)*-α	NUM
iajs-1953	407	5	-	-	PUNCT
iajs-1953	407	6	ω	ω	NOUN
iajs-1953	407	7	-	-	ADJ
iajs-1953	407	8	open	open	ADJ
iajs-1953	407	9	,	,	PUNCT
iajs-1953	407	10	strongly	strongly	ADV
iajs-1953	407	11	soft	soft	ADJ
iajs-1953	407	12	(	(	PUNCT
iajs-1953	407	13	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	407	14	-	-	PUNCT
iajs-1953	407	15	ω	ω	NOUN
iajs-1953	407	16	-	-	ADJ
iajs-1953	407	17	open	open	ADJ
iajs-1953	407	18	,	,	PUNCT
iajs-1953	407	19	strongly	strongly	ADV
iajs-1953	407	20	soft	soft	ADJ
iajs-1953	407	21	(	(	PUNCT
iajs-1953	407	22	1,2)*-b	1,2)*-b	NUM
iajs-1953	407	23	-	-	PUNCT
iajs-1953	407	24	ω	ω	NOUN
iajs-1953	407	25	-	-	ADJ
iajs-1953	407	26	open	open	ADJ
iajs-1953	407	27	,	,	PUNCT
iajs-1953	407	28	strongly	strongly	ADV
iajs-1953	407	29	soft	soft	ADJ
iajs-1953	407	30	(	(	PUNCT
iajs-1953	407	31	1,2)*-β	1,2)*-β	NUM
iajs-1953	407	32	-	-	PUNCT
iajs-1953	407	33	ω	ω	NOUN
iajs-1953	407	34	-	-	NOUN
iajs-1953	407	35	open	open	ADJ
iajs-1953	407	36	)	)	PUNCT
iajs-1953	407	37	if	if	SCONJ
iajs-1953	407	38	)	)	PUNCT
iajs-1953	407	39	)	)	PUNCT
iajs-1953	407	40	,	,	PUNCT
iajs-1953	407	41	(	(	PUNCT
iajs-1953	407	42	(	(	PUNCT
iajs-1953	407	43	phf	phf	NOUN
iajs-1953	407	44	is	be	AUX
iajs-1953	407	45	a	a	DET
iajs-1953	407	46	soft	soft	ADJ
iajs-1953	407	47	21	21	NUM
iajs-1953	407	48	~~	~~	SYM
iajs-1953	407	49	σσ	σσ	ADP
iajs-1953	407	50	-open	-open	PROPN
iajs-1953	407	51	set	set	VERB
iajs-1953	407	52	in	in	ADP
iajs-1953	407	53	v	v	NOUN
iajs-1953	407	54	~	~	PUNCT
iajs-1953	407	55	for	for	ADP
iajs-1953	407	56	each	each	DET
iajs-1953	407	57	soft	soft	ADJ
iajs-1953	407	58	(	(	PUNCT
iajs-1953	407	59	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	407	60	-	-	ADJ
iajs-1953	407	61	open	open	ADJ
iajs-1953	407	62	(	(	PUNCT
iajs-1953	407	63	resp	resp	NOUN
iajs-1953	407	64	.	.	PUNCT
iajs-1953	408	1	soft	soft	ADJ
iajs-1953	408	2	(	(	PUNCT
iajs-1953	408	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	408	4	-	-	PUNCT
iajs-1953	408	5	ω	ω	NOUN
iajs-1953	408	6	-	-	ADJ
iajs-1953	408	7	open	open	ADJ
iajs-1953	408	8	,	,	PUNCT
iajs-1953	408	9	soft	soft	ADJ
iajs-1953	408	10	(	(	PUNCT
iajs-1953	408	11	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	408	12	-	-	PUNCT
iajs-1953	408	13	ω	ω	VERB
iajs-1953	408	14	-	-	ADJ
iajs-1953	408	15	open	open	ADJ
iajs-1953	408	16	,	,	PUNCT
iajs-1953	408	17	soft	soft	ADJ
iajs-1953	408	18	(	(	PUNCT
iajs-1953	408	19	1,2)*-bω	1,2)*-bω	NUM
iajs-1953	408	20	-	-	PUNCT
iajs-1953	408	21	open	open	ADJ
iajs-1953	408	22	,	,	PUNCT
iajs-1953	408	23	soft	soft	ADJ
iajs-1953	408	24	(	(	PUNCT
iajs-1953	408	25	1,2)*-β	1,2)*-β	NUM
iajs-1953	408	26	-	-	PUNCT
iajs-1953	408	27	ω	ω	NOUN
iajs-1953	408	28	-	-	ADJ
iajs-1953	408	29	open	open	ADJ
iajs-1953	408	30	)	)	PUNCT
iajs-1953	408	31	set	set	NOUN
iajs-1953	408	32	)	)	PUNCT
iajs-1953	408	33	,	,	PUNCT
iajs-1953	408	34	(	(	PUNCT
iajs-1953	408	35	ph	ph	VERB
iajs-1953	408	36	in	in	ADP
iajs-1953	408	37	u	u	NOUN
iajs-1953	408	38	~	~	PUNCT
iajs-1953	408	39	.	.	PUNCT
iajs-1953	409	1	theorem	theorem	NOUN
iajs-1953	409	2	(	(	PUNCT
iajs-1953	409	3	2.54	2.54	NUM
iajs-1953	409	4	):	):	PUNCT
iajs-1953	409	5	let	let	NOUN
iajs-1953	409	6	)	)	PUNCT
iajs-1953	409	7	,	,	PUNCT
iajs-1953	409	8	~,~,(),~,~	~,~,(),~,~	X
iajs-1953	409	9	,	,	PUNCT
iajs-1953	409	10	(:	(:	VERB
iajs-1953	409	11	2121	2121	NUM
iajs-1953	409	12	pvpuf	pvpuf	ADJ
iajs-1953	409	13	σσττ	σσττ	PROPN
iajs-1953	409	14			PUNCT
iajs-1953	409	15	be	be	AUX
iajs-1953	409	16	a	a	DET
iajs-1953	409	17	strongly	strongly	ADV
iajs-1953	409	18	soft	soft	ADJ
iajs-1953	409	19	(	(	PUNCT
iajs-1953	409	20	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	409	21	-	-	ADJ
iajs-1953	409	22	open	open	ADJ
iajs-1953	409	23	(	(	PUNCT
iajs-1953	409	24	resp	resp	NOUN
iajs-1953	409	25	.	.	PUNCT
iajs-1953	410	1	strongly	strongly	ADV
iajs-1953	410	2	soft	soft	ADJ
iajs-1953	410	3	(	(	PUNCT
iajs-1953	410	4	1,2)*-α	1,2)*-α	NUM
iajs-1953	410	5	-	-	PUNCT
iajs-1953	410	6	ω	ω	NOUN
iajs-1953	410	7	-	-	ADJ
iajs-1953	410	8	open	open	ADJ
iajs-1953	410	9	,	,	PUNCT
iajs-1953	410	10	strongly	strongly	ADV
iajs-1953	410	11	soft	soft	ADJ
iajs-1953	410	12	(	(	PUNCT
iajs-1953	410	13	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	410	14	-	-	PUNCT
iajs-1953	410	15	ω	ω	NOUN
iajs-1953	410	16	-	-	ADJ
iajs-1953	410	17	open	open	ADJ
iajs-1953	410	18	,	,	PUNCT
iajs-1953	410	19	strongly	strongly	ADV
iajs-1953	410	20	soft	soft	ADJ
iajs-1953	410	21	(	(	PUNCT
iajs-1953	410	22	1,2)*-b	1,2)*-b	NUM
iajs-1953	410	23	-	-	PUNCT
iajs-1953	410	24	ω	ω	NOUN
iajs-1953	410	25	-	-	ADJ
iajs-1953	410	26	open	open	ADJ
iajs-1953	410	27	,	,	PUNCT
iajs-1953	410	28	strongly	strongly	ADV
iajs-1953	410	29	soft	soft	ADJ
iajs-1953	410	30	(	(	PUNCT
iajs-1953	410	31	1,2)*-β	1,2)*-β	NUM
iajs-1953	410	32	-	-	PUNCT
iajs-1953	410	33	ω	ω	NOUN
iajs-1953	410	34	-	-	ADJ
iajs-1953	410	35	open	open	ADJ
iajs-1953	410	36	)	)	PUNCT
iajs-1953	410	37	bijective	bijective	ADJ
iajs-1953	410	38	function	function	NOUN
iajs-1953	410	39	.	.	PUNCT
iajs-1953	411	1	if	if	SCONJ
iajs-1953	411	2	)	)	PUNCT
iajs-1953	411	3	,	,	PUNCT
iajs-1953	411	4	~,~	~,~	NUM
iajs-1953	411	5	,	,	PUNCT
iajs-1953	411	6	(	(	PUNCT
iajs-1953	411	7	21	21	NUM
iajs-1953	411	8	pu	pu	PROPN
iajs-1953	411	9	ττ	ττ	PROPN
iajs-1953	411	10	is	be	AUX
iajs-1953	411	11	a	a	DET
iajs-1953	411	12	soft	soft	ADJ
iajs-1953	411	13	(	(	PUNCT
iajs-1953	411	14	1,2)*-ωit	1,2)*-ωit	NUM
iajs-1953	411	15	~	~	SYM
iajs-1953	411	16	-space	-space	NOUN
iajs-1953	411	17	(	(	PUNCT
iajs-1953	411	18	resp	resp	NOUN
iajs-1953	411	19	.	.	PUNCT
iajs-1953	412	1	soft	soft	ADJ
iajs-1953	412	2	(	(	PUNCT
iajs-1953	412	3	1,2)*-α	1,2)*-α	NUM
iajs-1953	412	4	-	-	PUNCT
iajs-1953	412	5	ωit	ωit	NOUN
iajs-1953	412	6	~	~	SYM
iajs-1953	412	7	-space	-space	NOUN
iajs-1953	412	8	,	,	PUNCT
iajs-1953	412	9	soft	soft	ADJ
iajs-1953	412	10	(	(	PUNCT
iajs-1953	412	11	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	412	12	-	-	PUNCT
iajs-1953	412	13	ωit	ωit	NOUN
iajs-1953	412	14	~	~	SYM
iajs-1953	412	15	-space	-space	NOUN
iajs-1953	412	16	,	,	PUNCT
iajs-1953	412	17	soft	soft	ADJ
iajs-1953	412	18	(	(	PUNCT
iajs-1953	412	19	1,2)*-b	1,2)*-b	NUM
iajs-1953	412	20	-	-	PUNCT
iajs-1953	412	21	ωit	ωit	NOUN
iajs-1953	412	22	~	~	SYM
iajs-1953	412	23	-space	-space	NOUN
iajs-1953	412	24	,	,	PUNCT
iajs-1953	412	25	soft	soft	ADJ
iajs-1953	412	26	(	(	PUNCT
iajs-1953	412	27	1,2)*-β	1,2)*-β	NUM
iajs-1953	412	28	-	-	PUNCT
iajs-1953	412	29	ωit	ωit	NOUN
iajs-1953	412	30	~	~	SYM
iajs-1953	412	31	-space	-space	NOUN
iajs-1953	412	32	)	)	PUNCT
iajs-1953	412	33	,	,	PUNCT
iajs-1953	412	34	then	then	ADV
iajs-1953	412	35	)	)	PUNCT
iajs-1953	412	36	,	,	PUNCT
iajs-1953	412	37	~,~	~,~	NUM
iajs-1953	412	38	,	,	PUNCT
iajs-1953	412	39	(	(	PUNCT
iajs-1953	412	40	21	21	NUM
iajs-1953	412	41	pv	pv	NOUN
iajs-1953	412	42	σσ	σσ	ADV
iajs-1953	412	43	is	be	AUX
iajs-1953	412	44	a	a	DET
iajs-1953	412	45	soft	soft	ADJ
iajs-1953	412	46	(	(	PUNCT
iajs-1953	412	47	1,2)*it	1,2)*it	NUM
iajs-1953	412	48	~	~	SYM
iajs-1953	412	49	-space	-space	NOUN
iajs-1953	412	50	,	,	PUNCT
iajs-1953	412	51	for	for	ADP
iajs-1953	412	52	2,1,,0	2,1,,0	NUM
iajs-1953	412	53	2	2	NUM
iajs-1953	412	54	1i	1i	NUM
iajs-1953	412	55	.	.	PUNCT
iajs-1953	413	1	proof	proof	NOUN
iajs-1953	413	2	:	:	PUNCT
iajs-1953	413	3	suppose	suppose	VERB
iajs-1953	413	4	that	that	SCONJ
iajs-1953	413	5	)	)	PUNCT
iajs-1953	413	6	,	,	PUNCT
iajs-1953	413	7	~,~	~,~	NUM
iajs-1953	413	8	,	,	PUNCT
iajs-1953	413	9	(	(	PUNCT
iajs-1953	413	10	21	21	NUM
iajs-1953	413	11	pu	pu	PROPN
iajs-1953	413	12	ττ	ττ	PROPN
iajs-1953	413	13	is	be	AUX
iajs-1953	413	14	a	a	DET
iajs-1953	413	15	soft	soft	ADJ
iajs-1953	413	16	(	(	PUNCT
iajs-1953	413	17	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	413	18	~	~	PUNCT
iajs-1953	413	19	t	t	NOUN
iajs-1953	413	20	-space	-space	NOUN
iajs-1953	413	21	.	.	PUNCT
iajs-1953	414	1	let	let	VERB
iajs-1953	414	2	vyy	vyy	NOUN
iajs-1953	414	3	~~~,~	~~~,~	NUM
iajs-1953	414	4	21	21	NUM
iajs-1953	414	5			NOUN
iajs-1953	414	6	such	such	ADJ
iajs-1953	414	7	that	that	SCONJ
iajs-1953	414	8	21	21	NUM
iajs-1953	414	9	~~	~~	NUM
iajs-1953	414	10	yy	yy	PROPN
iajs-1953	414	11			PROPN
iajs-1953	414	12	.	.	PUNCT
iajs-1953	415	1	since	since	SCONJ
iajs-1953	415	2	f	f	PROPN
iajs-1953	415	3	is	be	AUX
iajs-1953	415	4	surjective	surjective	ADJ
iajs-1953	415	5	,	,	PUNCT
iajs-1953	415	6	then	then	ADV
iajs-1953	415	7	there	there	PRON
iajs-1953	415	8	exists	exist	VERB
iajs-1953	415	9	uxx	uxx	NOUN
iajs-1953	415	10	~~~,~	~~~,~	X
iajs-1953	415	11	21	21	NUM
iajs-1953	415	12			NOUN
iajs-1953	415	13	such	such	ADJ
iajs-1953	415	14	that	that	SCONJ
iajs-1953	415	15	11	11	NUM
iajs-1953	415	16	~)~	~)~	NOUN
iajs-1953	415	17	(	(	PUNCT
iajs-1953	415	18	yxf	yxf	NOUN
iajs-1953	415	19			NUM
iajs-1953	415	20	and	and	CCONJ
iajs-1953	415	21	22	22	NUM
iajs-1953	415	22	~)~	~)~	NUM
iajs-1953	415	23	(	(	PUNCT
iajs-1953	415	24	yxf	yxf	NOUN
iajs-1953	415	25			ADJ
iajs-1953	415	26	.	.	PUNCT
iajs-1953	416	1	since	since	SCONJ
iajs-1953	416	2	f	f	PROPN
iajs-1953	416	3	is	be	AUX
iajs-1953	416	4	a	a	DET
iajs-1953	416	5	function	function	NOUN
iajs-1953	416	6	,	,	PUNCT
iajs-1953	416	7	then	then	ADV
iajs-1953	416	8	21	21	NUM
iajs-1953	416	9	~~	~~	NUM
iajs-1953	416	10	xx	xx	NUM
iajs-1953	416	11			NOUN
iajs-1953	416	12	.	.	PUNCT
iajs-1953	417	1	but	but	CCONJ
iajs-1953	417	2	)	)	PUNCT
iajs-1953	417	3	,	,	PUNCT
iajs-1953	417	4	~,~	~,~	NUM
iajs-1953	417	5	,	,	PUNCT
iajs-1953	417	6	(	(	PUNCT
iajs-1953	417	7	21	21	NUM
iajs-1953	417	8	pu	pu	PROPN
iajs-1953	417	9	ττ	ττ	PROPN
iajs-1953	417	10	is	be	AUX
iajs-1953	417	11	a	a	DET
iajs-1953	417	12	soft	soft	ADJ
iajs-1953	417	13	(	(	PUNCT
iajs-1953	417	14	1,2)*-ω2	1,2)*-ω2	NUM
iajs-1953	417	15	~	~	PUNCT
iajs-1953	417	16	t	t	NOUN
iajs-1953	417	17	space	space	NOUN
iajs-1953	417	18	,	,	PUNCT
iajs-1953	417	19	then	then	ADV
iajs-1953	417	20	there	there	PRON
iajs-1953	417	21	exists	exist	VERB
iajs-1953	417	22	disjoint	disjoint	ADV
iajs-1953	417	23	soft	soft	ADJ
iajs-1953	417	24	(	(	PUNCT
iajs-1953	417	25	1,2)*-ω	1,2)*-ω	NUM
iajs-1953	417	26	-	-	PUNCT
iajs-1953	417	27	open	open	ADJ
iajs-1953	417	28	sets	set	NOUN
iajs-1953	417	29	)	)	PUNCT
iajs-1953	417	30	,	,	PUNCT
iajs-1953	417	31	(	(	PUNCT
iajs-1953	417	32	1	1	NUM
iajs-1953	417	33	ph	ph	NOUN
iajs-1953	417	34	and	and	CCONJ
iajs-1953	417	35	)	)	PUNCT
iajs-1953	417	36	,	,	PUNCT
iajs-1953	417	37	(	(	PUNCT
iajs-1953	417	38	2	2	NUM
iajs-1953	417	39	ph	ph	NOUN
iajs-1953	417	40	in	in	ADP
iajs-1953	417	41	u	u	NOUN
iajs-1953	417	42	~	~	PUNCT
iajs-1953	417	43	such	such	ADJ
iajs-1953	417	44	that	that	PRON
iajs-1953	417	45	)	)	PUNCT
iajs-1953	417	46	,	,	PUNCT
iajs-1953	417	47	(	(	PUNCT
iajs-1953	417	48	~~	~~	NUM
iajs-1953	417	49	11	11	NUM
iajs-1953	417	50	phx	phx	PROPN
iajs-1953	417	51			NOUN
iajs-1953	417	52	and	and	CCONJ
iajs-1953	417	53	)	)	PUNCT
iajs-1953	417	54	,	,	PUNCT
iajs-1953	417	55	(	(	PUNCT
iajs-1953	417	56	~~	~~	NUM
iajs-1953	417	57	22	22	NUM
iajs-1953	417	58	phx	phx	PROPN
iajs-1953	417	59			NOUN
iajs-1953	417	60	.	.	PUNCT
iajs-1953	418	1	by	by	ADP
iajs-1953	418	2	definition	definition	NOUN
iajs-1953	418	3	(	(	PUNCT
iajs-1953	418	4	2.53	2.53	NUM
iajs-1953	418	5	)	)	PUNCT
iajs-1953	418	6	,	,	PUNCT
iajs-1953	418	7	)	)	PUNCT
iajs-1953	418	8	)	)	PUNCT
iajs-1953	418	9	,	,	PUNCT
iajs-1953	418	10	(	(	PUNCT
iajs-1953	418	11	(	(	PUNCT
iajs-1953	418	12	1	1	NUM
iajs-1953	418	13	phf	phf	NOUN
iajs-1953	418	14	and	and	CCONJ
iajs-1953	418	15	)	)	PUNCT
iajs-1953	418	16	)	)	PUNCT
iajs-1953	418	17	,	,	PUNCT
iajs-1953	418	18	(	(	PUNCT
iajs-1953	418	19	(	(	PUNCT
iajs-1953	418	20	2	2	NUM
iajs-1953	418	21	phf	phf	NOUN
iajs-1953	418	22	are	be	AUX
iajs-1953	418	23	soft	soft	ADJ
iajs-1953	418	24	21	21	NUM
iajs-1953	418	25	~~	~~	NUM
iajs-1953	418	26	σσ	σσ	ADP
iajs-1953	418	27	-open	-open	ADJ
iajs-1953	418	28	sets	set	NOUN
iajs-1953	418	29	in	in	ADP
iajs-1953	418	30	v	v	NOUN
iajs-1953	418	31	~	~	PUNCT
iajs-1953	418	32	such	such	ADJ
iajs-1953	418	33	that	that	PRON
iajs-1953	418	34	)	)	PUNCT
iajs-1953	418	35	)	)	PUNCT
iajs-1953	418	36	,	,	PUNCT
iajs-1953	418	37	(	(	PUNCT
iajs-1953	418	38	(	(	PUNCT
iajs-1953	418	39	~)~	~)~	X
iajs-1953	418	40	(	(	PUNCT
iajs-1953	418	41	11	11	NUM
iajs-1953	418	42	phfxf	phfxf	NOUN
iajs-1953	418	43			NOUN
iajs-1953	418	44	and	and	CCONJ
iajs-1953	418	45	)	)	PUNCT
iajs-1953	418	46	)	)	PUNCT
iajs-1953	418	47	,	,	PUNCT
iajs-1953	418	48	(	(	PUNCT
iajs-1953	418	49	(	(	PUNCT
iajs-1953	418	50	~)~	~)~	X
iajs-1953	418	51	(	(	PUNCT
iajs-1953	418	52	22	22	NUM
iajs-1953	418	53	phfxf	phfxf	NOUN
iajs-1953	418	54			PROPN
iajs-1953	418	55	.	.	PUNCT
iajs-1953	419	1	since	since	SCONJ
iajs-1953	419	2	f	f	PROPN
iajs-1953	419	3	is	be	AUX
iajs-1953	419	4	injective	injective	ADJ
iajs-1953	419	5	,	,	PUNCT
iajs-1953	419	6	then	then	ADV
iajs-1953	419	7			ADP
iajs-1953	419	8	~	~	PUNCT
iajs-1953	419	9	)	)	PUNCT
iajs-1953	419	10	)	)	PUNCT
iajs-1953	419	11	,	,	PUNCT
iajs-1953	419	12	(	(	PUNCT
iajs-1953	419	13	(	(	PUNCT
iajs-1953	419	14	1	1	NUM
iajs-1953	419	15	phf	phf	NOUN
iajs-1953	419	16	φ~	φ~	NOUN
iajs-1953	419	17	)	)	PUNCT
iajs-1953	419	18	)	)	PUNCT
iajs-1953	419	19	,	,	PUNCT
iajs-1953	419	20	(	(	PUNCT
iajs-1953	419	21	(	(	PUNCT
iajs-1953	419	22	2	2	NUM
iajs-1953	419	23	phf	phf	NOUN
iajs-1953	419	24	.	.	PUNCT
iajs-1953	420	1	hence	hence	ADV
iajs-1953	420	2	)	)	PUNCT
iajs-1953	420	3	,	,	PUNCT
iajs-1953	420	4	~,~	~,~	NUM
iajs-1953	420	5	,	,	PUNCT
iajs-1953	420	6	(	(	PUNCT
iajs-1953	420	7	21	21	NUM
iajs-1953	420	8	pv	pv	NOUN
iajs-1953	420	9	σσ	σσ	ADV
iajs-1953	420	10	is	be	AUX
iajs-1953	420	11	a	a	DET
iajs-1953	420	12	soft	soft	ADJ
iajs-1953	420	13	(	(	PUNCT
iajs-1953	420	14	1,2)*2	1,2)*2	NUM
iajs-1953	420	15	~	~	PUNCT
iajs-1953	420	16	t	t	NOUN
iajs-1953	420	17	-space	-space	NOUN
iajs-1953	420	18	.	.	PUNCT
iajs-1953	421	1	by	by	ADP
iajs-1953	421	2	the	the	DET
iajs-1953	421	3	same	same	ADJ
iajs-1953	421	4	way	way	NOUN
iajs-1953	421	5	we	we	PRON
iajs-1953	421	6	can	can	AUX
iajs-1953	421	7	prove	prove	VERB
iajs-1953	421	8	that	that	SCONJ
iajs-1953	421	9	other	other	ADJ
iajs-1953	421	10	cases	case	NOUN
iajs-1953	421	11	.	.	PUNCT
iajs-1953	422	1	the	the	DET
iajs-1953	422	2	following	follow	VERB
iajs-1953	422	3	diagram	diagram	NOUN
iajs-1953	422	4	shows	show	VERB
iajs-1953	422	5	the	the	DET
iajs-1953	422	6	relation	relation	NOUN
iajs-1953	422	7	among	among	ADP
iajs-1953	422	8	soft	soft	ADJ
iajs-1953	422	9	(	(	PUNCT
iajs-1953	422	10	1,2)*it	1,2)*it	NUM
iajs-1953	422	11	~	~	SYM
iajs-1953	422	12	-spaces	-space	NOUN
iajs-1953	422	13	,	,	PUNCT
iajs-1953	422	14	soft	soft	ADJ
iajs-1953	422	15	(	(	PUNCT
iajs-1953	422	16	1,2)*-ωit	1,2)*-ωit	NUM
iajs-1953	422	17	~	~	SYM
iajs-1953	422	18	-spaces	-space	NOUN
iajs-1953	422	19	,	,	PUNCT
iajs-1953	422	20	soft	soft	ADJ
iajs-1953	422	21	(	(	PUNCT
iajs-1953	422	22	1,2)*-α	1,2)*-α	NUM
iajs-1953	422	23	-	-	PUNCT
iajs-1953	422	24	ωit	ωit	NOUN
iajs-1953	422	25	~	~	SYM
iajs-1953	422	26	-spaces	-space	NOUN
iajs-1953	422	27	,	,	PUNCT
iajs-1953	422	28	soft	soft	ADJ
iajs-1953	422	29	(	(	PUNCT
iajs-1953	422	30	1,2)*-pre	1,2)*-pre	NUM
iajs-1953	422	31	-	-	PUNCT
iajs-1953	422	32	ωit	ωit	NOUN
iajs-1953	422	33	~	~	SYM
iajs-1953	422	34	-spaces	-space	NOUN
iajs-1953	422	35	,	,	PUNCT
iajs-1953	422	36	soft	soft	ADJ
iajs-1953	422	37	(	(	PUNCT
iajs-1953	422	38	1,2)*-b	1,2)*-b	NUM
iajs-1953	422	39	-	-	PUNCT
iajs-1953	422	40	ωit	ωit	NOUN
iajs-1953	422	41	~	~	PUNCT
iajs-1953	422	42	spaces	space	NOUN
iajs-1953	422	43	,	,	PUNCT
iajs-1953	422	44	and	and	CCONJ
iajs-1953	422	45	soft	soft	ADJ
iajs-1953	422	46	(	(	PUNCT
iajs-1953	422	47	1,2)*-β	1,2)*-β	NUM
iajs-1953	422	48	-	-	PUNCT
iajs-1953	422	49	ωit	ωit	NOUN
iajs-1953	422	50	~	~	SYM
iajs-1953	422	51	-spaces	-space	NOUN
iajs-1953	422	52	,	,	PUNCT
iajs-1953	422	53	for	for	ADP
iajs-1953	422	54	2,1,,0	2,1,,0	NUM
iajs-1953	422	55	2	2	NUM
iajs-1953	422	56	1i	1i	NUM
iajs-1953	422	57	.	.	PUNCT
iajs-1953	423	1	https://doi.org/10.30526/31.2.19523	https://doi.org/10.30526/31.2.19523	PROPN
iajs-1953	423	2	https://doi.org/10.30526/31.2.1953	https://doi.org/10.30526/31.2.1953	INTJ
iajs-1953	423	3	mathmatics	mathmatics	PROPN
iajs-1953	423	4	|	|	ADV
iajs-1953	423	5	150	150	NUM
iajs-1953	423	6	8201	8201	NUM
iajs-1953	423	7	(	(	PUNCT
iajs-1953	423	8	عام	عام	ADP
iajs-1953	423	9	2العدد	2العدد	NUM
iajs-1953	423	10	)	)	PUNCT
iajs-1953	423	11	13لمجلد	13لمجلد	NUM
iajs-1953	424	1	ا	ا	INTJ
iajs-1953	425	1	مجلة	مجلة	PROPN
iajs-1953	425	2	إبن	إبن	VERB
iajs-1953	425	3	الهيثم	الهيثم	ADJ
iajs-1953	425	4	للعلوم	للعلوم	NOUN
iajs-1953	425	5	الصرفة	الصرفة	NOUN
iajs-1953	426	1	و	و	PRON
iajs-1953	426	2	التطبيقية	التطبيقية	ADJ
iajs-1953	426	3	ibn	ibn	PROPN
iajs-1953	426	4	al	al	PROPN
iajs-1953	426	5	-	-	PUNCT
iajs-1953	426	6	haitham	haitham	PROPN
iajs-1953	426	7	jour	jour	X
iajs-1953	426	8	.	.	PROPN
iajs-1953	426	9	for	for	ADP
iajs-1953	426	10	pure	pure	ADJ
iajs-1953	426	11	&	&	CCONJ
iajs-1953	426	12	appl	appl	PROPN
iajs-1953	426	13	.	.	PUNCT
iajs-1953	427	1	sci	sci	PROPN
iajs-1953	427	2	.	.	PUNCT
iajs-1953	427	3	vol	vol	NOUN
iajs-1953	427	4	.	.	PROPN
iajs-1953	428	1	31	31	NUM
iajs-1953	428	2	(	(	PUNCT
iajs-1953	428	3	2	2	NUM
iajs-1953	428	4	)	)	PUNCT
iajs-1953	428	5	2018	2018	NUM
iajs-1953	428	6	references	reference	NOUN
iajs-1953	428	7	1	1	NUM
iajs-1953	428	8	.	.	PUNCT
iajs-1953	428	9	molodtsov	molodtsov	PROPN
iajs-1953	428	10	,	,	PUNCT
iajs-1953	428	11	d.	d.	PROPN
iajs-1953	428	12	(	(	PUNCT
iajs-1953	428	13	1999	1999	NUM
iajs-1953	428	14	)	)	PUNCT
iajs-1953	428	15	,	,	PUNCT
iajs-1953	428	16	“	"	PUNCT
iajs-1953	428	17	soft	soft	ADJ
iajs-1953	428	18	set	set	NOUN
iajs-1953	428	19	theory	theory	NOUN
iajs-1953	428	20	-	-	PUNCT
iajs-1953	428	21	first	first	ADJ
iajs-1953	428	22	results	result	NOUN
iajs-1953	428	23	”	"	PUNCT
iajs-1953	428	24	,	,	PUNCT
iajs-1953	428	25	computers	computer	NOUN
iajs-1953	428	26	and	and	CCONJ
iajs-1953	428	27	mathematics	mathematic	NOUN
iajs-1953	428	28	with	with	ADP
iajs-1953	428	29	applications,37	applications,37	ADJ
iajs-1953	428	30	(	(	PUNCT
iajs-1953	428	31	4	4	NUM
iajs-1953	428	32	-	-	SYM
iajs-1953	428	33	5):19	5):19	NUM
iajs-1953	428	34	-	-	SYM
iajs-1953	428	35	31	31	NUM
iajs-1953	428	36	.	.	PUNCT
iajs-1953	429	1	2	2	NUM
iajs-1953	429	2	.	.	X
iajs-1953	429	3	shabir	shabir	PROPN
iajs-1953	429	4	,	,	PUNCT
iajs-1953	429	5	m.	m.	NOUN
iajs-1953	429	6	and	and	CCONJ
iajs-1953	429	7	naz	naz	PROPN
iajs-1953	429	8	,	,	PUNCT
iajs-1953	429	9	m.	m.	NOUN
iajs-1953	429	10	(	(	PUNCT
iajs-1953	429	11	2011	2011	NUM
iajs-1953	429	12	)	)	PUNCT
iajs-1953	429	13	,	,	PUNCT
iajs-1953	429	14	“	"	PUNCT
iajs-1953	429	15	on	on	ADP
iajs-1953	429	16	soft	soft	ADJ
iajs-1953	429	17	topological	topological	ADJ
iajs-1953	429	18	spaces	space	NOUN
iajs-1953	429	19	”	"	PUNCT
iajs-1953	429	20	,	,	PUNCT
iajs-1953	429	21	computers	computer	NOUN
iajs-1953	429	22	and	and	CCONJ
iajs-1953	429	23	mathematics	mathematic	NOUN
iajs-1953	429	24	with	with	ADP
iajs-1953	429	25	applications	application	NOUN
iajs-1953	429	26	,	,	PUNCT
iajs-1953	429	27	61(7):1786	61(7):1786	NUM
iajs-1953	429	28	-	-	SYM
iajs-1953	429	29	1799	1799	NUM
iajs-1953	429	30	.	.	PUNCT
iajs-1953	430	1	3	3	X
iajs-1953	430	2	.	.	X
iajs-1953	430	3	senel	senel	PROPN
iajs-1953	430	4	,	,	PUNCT
iajs-1953	430	5	g.	g.	PROPN
iajs-1953	430	6	and	and	CCONJ
iajs-1953	430	7	çagman	çagman	NOUN
iajs-1953	430	8	,	,	PUNCT
iajs-1953	430	9	n.	n.	NOUN
iajs-1953	430	10	(	(	PUNCT
iajs-1953	430	11	2014	2014	NUM
iajs-1953	430	12	)	)	PUNCT
iajs-1953	430	13	,	,	PUNCT
iajs-1953	430	14	“	"	PUNCT
iajs-1953	430	15	soft	soft	ADJ
iajs-1953	430	16	closed	closed	ADJ
iajs-1953	430	17	sets	set	NOUN
iajs-1953	430	18	on	on	ADP
iajs-1953	430	19	soft	soft	ADJ
iajs-1953	430	20	bitopological	bitopological	ADJ
iajs-1953	430	21	space	space	NOUN
iajs-1953	430	22	”	"	PUNCT
iajs-1953	430	23	,	,	PUNCT
iajs-1953	430	24	journal	journal	NOUN
iajs-1953	430	25	of	of	ADP
iajs-1953	430	26	new	new	ADJ
iajs-1953	430	27	results	result	NOUN
iajs-1953	430	28	in	in	ADP
iajs-1953	430	29	science	science	NOUN
iajs-1953	430	30	,	,	PUNCT
iajs-1953	430	31	5:57	5:57	NUM
iajs-1953	430	32	-	-	SYM
iajs-1953	430	33	66	66	NUM
iajs-1953	430	34	.	.	PUNCT
iajs-1953	431	1	4	4	NUM
iajs-1953	431	2	.	.	X
iajs-1953	431	3	mahmood	mahmood	PROPN
iajs-1953	431	4	,	,	PUNCT
iajs-1953	431	5	s.	s.	PROPN
iajs-1953	431	6	i.	i.	PROPN
iajs-1953	431	7	and	and	CCONJ
iajs-1953	431	8	abdul	abdul	PROPN
iajs-1953	431	9	-	-	PUNCT
iajs-1953	431	10	hady	hady	PROPN
iajs-1953	431	11	,	,	PUNCT
iajs-1953	431	12	a.	a.	NOUN
iajs-1953	431	13	a.	a.	NOUN
iajs-1953	431	14	,	,	PUNCT
iajs-1953	431	15	(	(	PUNCT
iajs-1953	431	16	2018	2018	NUM
iajs-1953	431	17	)	)	PUNCT
iajs-1953	431	18	,	,	PUNCT
iajs-1953	431	19	“	"	PUNCT
iajs-1953	431	20	weak	weak	ADJ
iajs-1953	431	21	forms	form	NOUN
iajs-1953	431	22	of	of	ADP
iajs-1953	431	23	soft	soft	ADJ
iajs-1953	431	24	(	(	PUNCT
iajs-1953	431	25	1,2)*-omega	1,2)*-omega	NUM
iajs-1953	431	26	open	open	ADJ
iajs-1953	431	27	sets	set	NOUN
iajs-1953	431	28	in	in	ADP
iajs-1953	431	29	soft	soft	ADJ
iajs-1953	431	30	bitopological	bitopological	ADJ
iajs-1953	431	31	spaces	space	NOUN
iajs-1953	431	32	”	"	PUNCT
iajs-1953	431	33	,	,	PUNCT
iajs-1953	431	34	iraqi	iraqi	ADJ
iajs-1953	431	35	journal	journal	NOUN
iajs-1953	431	36	of	of	ADP
iajs-1953	431	37	science	science	NOUN
iajs-1953	431	38	,	,	PUNCT
iajs-1953	431	39	59	59	NUM
iajs-1953	431	40	(	(	PUNCT
iajs-1953	431	41	1c	1c	NUM
iajs-1953	431	42	):	):	PUNCT
iajs-1953	431	43	572	572	NUM
iajs-1953	431	44	-	-	SYM
iajs-1953	431	45	580	580	NUM
iajs-1953	431	46	.	.	PUNCT
iajs-1953	432	1	5	5	X
iajs-1953	432	2	.	.	X
iajs-1953	432	3	das	das	PROPN
iajs-1953	432	4	,	,	PUNCT
iajs-1953	432	5	s.	s.	PROPN
iajs-1953	432	6	and	and	CCONJ
iajs-1953	432	7	samanta	samanta	PROPN
iajs-1953	432	8	,	,	PUNCT
iajs-1953	432	9	s.k	s.k	PROPN
iajs-1953	432	10	.	.	PROPN
iajs-1953	432	11	,	,	PUNCT
iajs-1953	432	12	(	(	PUNCT
iajs-1953	432	13	2012	2012	NUM
iajs-1953	432	14	)	)	PUNCT
iajs-1953	432	15	,	,	PUNCT
iajs-1953	432	16	”	"	PUNCT
iajs-1953	432	17	soft	soft	ADJ
iajs-1953	432	18	metric	metric	NOUN
iajs-1953	432	19	”	"	PUNCT
iajs-1953	432	20	,	,	PUNCT
iajs-1953	432	21	annals	annal	NOUN
iajs-1953	432	22	of	of	ADP
iajs-1953	432	23	fuzzy	fuzzy	ADJ
iajs-1953	432	24	mathematics	mathematic	NOUN
iajs-1953	432	25	and	and	CCONJ
iajs-1953	432	26	informatics,1	informatics,1	NOUN
iajs-1953	432	27	-	-	SYM
iajs-1953	432	28	18	18	NUM
iajs-1953	432	29	.	.	NOUN
iajs-1953	433	1	6	6	NUM
iajs-1953	433	2	.	.	X
iajs-1953	433	3	maji	maji	PROPN
iajs-1953	433	4	,	,	PUNCT
iajs-1953	433	5	p.	p.	PROPN
iajs-1953	433	6	k.	k.	PROPN
iajs-1953	433	7	;	;	PUNCT
iajs-1953	434	1	biswas	biswas	PROPN
iajs-1953	434	2	,	,	PUNCT
iajs-1953	434	3	r.	r.	PROPN
iajs-1953	434	4	and	and	CCONJ
iajs-1953	434	5	roy	roy	PROPN
iajs-1953	434	6	,	,	PUNCT
iajs-1953	434	7	a.	a.	PROPN
iajs-1953	434	8	r.	r.	PROPN
iajs-1953	434	9	(	(	PUNCT
iajs-1953	434	10	2003	2003	NUM
iajs-1953	434	11	)	)	PUNCT
iajs-1953	434	12	,	,	PUNCT
iajs-1953	434	13	“	"	PUNCT
iajs-1953	434	14	soft	soft	ADJ
iajs-1953	434	15	set	set	NOUN
iajs-1953	434	16	theory	theory	NOUN
iajs-1953	434	17	”	"	PUNCT
iajs-1953	434	18	,	,	PUNCT
iajs-1953	434	19	computers	computer	NOUN
iajs-1953	434	20	and	and	CCONJ
iajs-1953	434	21	mathematics	mathematic	NOUN
iajs-1953	434	22	with	with	ADP
iajs-1953	434	23	applications	application	NOUN
iajs-1953	434	24	,	,	PUNCT
iajs-1953	434	25	45	45	NUM
iajs-1953	434	26	:	:	SYM
iajs-1953	434	27	555	555	NUM
iajs-1953	434	28	-	-	SYM
iajs-1953	434	29	562	562	NUM
iajs-1953	434	30	.	.	PUNCT
iajs-1953	435	1	6	6	NUM
iajs-1953	435	2	.	.	X
iajs-1953	436	1	mahmood	mahmood	PROPN
iajs-1953	436	2	,	,	PUNCT
iajs-1953	436	3	s.	s.	PROPN
iajs-1953	436	4	i.	i.	PROPN
iajs-1953	436	5	(	(	PUNCT
iajs-1953	436	6	2017	2017	NUM
iajs-1953	436	7	)	)	PUNCT
iajs-1953	436	8	”	"	PUNCT
iajs-1953	436	9	weak	weak	ADJ
iajs-1953	436	10	soft	soft	ADJ
iajs-1953	436	11	separation	separation	NOUN
iajs-1953	436	12	axioms	axiom	NOUN
iajs-1953	436	13	and	and	CCONJ
iajs-1953	436	14	weak	weak	ADJ
iajs-1953	436	15	soft	soft	ADJ
iajs-1953	436	16	(	(	PUNCT
iajs-1953	436	17	1,2)*-d	1,2)*-d	NUM
iajs-1953	436	18	~	~	PUNCT
iajs-1953	436	19	separation	separation	NOUN
iajs-1953	436	20	axioms	axiom	NOUN
iajs-1953	436	21	in	in	ADP
iajs-1953	436	22	soft	soft	ADJ
iajs-1953	436	23	bitopological	bitopological	ADJ
iajs-1953	436	24	spaces	space	NOUN
iajs-1953	436	25	”	"	PUNCT
iajs-1953	436	26	,	,	PUNCT
iajs-1953	436	27	journal	journal	NOUN
iajs-1953	436	28	of	of	ADP
iajs-1953	436	29	al	al	PROPN
iajs-1953	436	30	-	-	PUNCT
iajs-1953	436	31	nahrain	nahrain	PROPN
iajs-1953	436	32	university	university	NOUN
iajs-1953	436	33	,	,	PUNCT
iajs-1953	436	34	20	20	NUM
iajs-1953	436	35	(	(	PUNCT
iajs-1953	436	36	3	3	NUM
iajs-1953	436	37	):	):	PUNCT
iajs-1953	436	38	137	137	NUM
iajs-1953	436	39	-	-	SYM
iajs-1953	436	40	148	148	NUM
iajs-1953	436	41	.	.	PUNCT
iajs-1953	437	1	8	8	NUM
iajs-1953	437	2	.	.	X
iajs-1953	438	1	hussein	hussein	PROPN
iajs-1953	438	2	,	,	PUNCT
iajs-1953	438	3	a.	a.	NOUN
iajs-1953	438	4	m	m	PROPN
iajs-1953	438	5	.	.	PUNCT
iajs-1953	439	1	(	(	PUNCT
iajs-1953	439	2	2016	2016	NUM
iajs-1953	439	3	)	)	PUNCT
iajs-1953	439	4	“	"	PUNCT
iajs-1953	439	5	soft	soft	ADJ
iajs-1953	439	6	pre	pre	ADJ
iajs-1953	439	7	-	-	ADJ
iajs-1953	439	8	open	open	ADJ
iajs-1953	439	9	sets	set	NOUN
iajs-1953	439	10	in	in	ADP
iajs-1953	439	11	soft	soft	ADJ
iajs-1953	439	12	bitopological	bitopological	ADJ
iajs-1953	439	13	spaces	space	NOUN
iajs-1953	439	14	”	"	PUNCT
iajs-1953	439	15	,	,	PUNCT
iajs-1953	439	16	american	american	ADJ
iajs-1953	439	17	scientific	scientific	ADJ
iajs-1953	439	18	research	research	NOUN
iajs-1953	439	19	journal	journal	NOUN
iajs-1953	439	20	for	for	ADP
iajs-1953	439	21	engineering	engineering	NOUN
iajs-1953	439	22	,	,	PUNCT
iajs-1953	439	23	technology	technology	NOUN
iajs-1953	439	24	,	,	PUNCT
iajs-1953	439	25	and	and	CCONJ
iajs-1953	439	26	sciences	science	NOUN
iajs-1953	439	27	(	(	PUNCT
iajs-1953	439	28	asrjets	asrjet	NOUN
iajs-1953	439	29	)	)	PUNCT
iajs-1953	439	30	,	,	PUNCT
iajs-1953	439	31	26	26	NUM
iajs-1953	439	32	(	(	PUNCT
iajs-1953	439	33	4	4	NUM
iajs-1953	439	34	)	)	PUNCT
iajs-1953	439	35	:	:	PUNCT
iajs-1953	439	36	42	42	NUM
iajs-1953	439	37	-	-	SYM
iajs-1953	439	38	53	53	NUM
iajs-1953	439	39	.	.	PUNCT
iajs-1953	440	1	https://doi.org/10.30526/31.2.19523	https://doi.org/10.30526/31.2.19523	PROPN