id	sid	tid	token	lemma	pos
ejpam-4249	1	1	european	european	PROPN
ejpam-4249	1	2	journal	journal	PROPN
ejpam-4249	1	3	of	of	ADP
ejpam-4249	1	4	pure	pure	ADJ
ejpam-4249	1	5	and	and	CCONJ
ejpam-4249	1	6	applied	apply	VERB
ejpam-4249	1	7	mathematics	mathematic	NOUN
ejpam-4249	1	8	vol	vol	NOUN
ejpam-4249	1	9	.	.	PROPN
ejpam-4249	2	1	15	15	NUM
ejpam-4249	2	2	,	,	PUNCT
ejpam-4249	2	3	no	no	INTJ
ejpam-4249	2	4	.	.	NOUN
ejpam-4249	2	5	1	1	NUM
ejpam-4249	2	6	,	,	PUNCT
ejpam-4249	2	7	2022	2022	NUM
ejpam-4249	2	8	,	,	PUNCT
ejpam-4249	2	9	126	126	NUM
ejpam-4249	2	10	-	-	SYM
ejpam-4249	2	11	134	134	NUM
ejpam-4249	2	12	issn	issn	PROPN
ejpam-4249	2	13	1307	1307	NUM
ejpam-4249	2	14	-	-	SYM
ejpam-4249	2	15	5543	5543	NUM
ejpam-4249	2	16	–	–	PUNCT
ejpam-4249	2	17	ejpam.com	ejpam.com	X
ejpam-4249	2	18	published	publish	VERB
ejpam-4249	2	19	by	by	ADP
ejpam-4249	2	20	new	new	PROPN
ejpam-4249	2	21	york	york	PROPN
ejpam-4249	2	22	business	business	PROPN
ejpam-4249	2	23	global	global	ADJ
ejpam-4249	2	24	nearly	nearly	ADV
ejpam-4249	2	25	soft	soft	ADJ
ejpam-4249	2	26	β	β	NOUN
ejpam-4249	2	27	open	open	ADJ
ejpam-4249	2	28	sets	set	NOUN
ejpam-4249	2	29	via	via	ADP
ejpam-4249	2	30	soft	soft	ADJ
ejpam-4249	2	31	ditopological	ditopological	ADJ
ejpam-4249	2	32	spaces	space	NOUN
ejpam-4249	2	33	radwan	radwan	VERB
ejpam-4249	2	34	abugdairi1,∗	abugdairi1,∗	ADJ
ejpam-4249	2	35	,	,	PUNCT
ejpam-4249	3	1	a.	a.	NOUN
ejpam-4249	3	2	a.	a.	NOUN
ejpam-4249	3	3	azzam2,3	azzam2,3	PROPN
ejpam-4249	3	4	,	,	PUNCT
ejpam-4249	3	5	ibrahim	ibrahim	PROPN
ejpam-4249	3	6	noaman4,5	noaman4,5	PROPN
ejpam-4249	3	7	1	1	NUM
ejpam-4249	3	8	department	department	NOUN
ejpam-4249	3	9	of	of	ADP
ejpam-4249	3	10	mathematics	mathematics	PROPN
ejpam-4249	3	11	faculty	faculty	NOUN
ejpam-4249	3	12	of	of	ADP
ejpam-4249	3	13	science	science	PROPN
ejpam-4249	3	14	zarqa	zarqa	PROPN
ejpam-4249	3	15	university	university	PROPN
ejpam-4249	3	16	,	,	PUNCT
ejpam-4249	3	17	jordan	jordan	PROPN
ejpam-4249	3	18	2	2	NUM
ejpam-4249	3	19	department	department	NOUN
ejpam-4249	3	20	of	of	ADP
ejpam-4249	3	21	mathematics	mathematic	NOUN
ejpam-4249	3	22	,	,	PUNCT
ejpam-4249	3	23	faculty	faculty	NOUN
ejpam-4249	3	24	of	of	ADP
ejpam-4249	3	25	science	science	NOUN
ejpam-4249	3	26	and	and	CCONJ
ejpam-4249	3	27	humanities	humanity	NOUN
ejpam-4249	3	28	,	,	PUNCT
ejpam-4249	3	29	prince	prince	PROPN
ejpam-4249	3	30	sattam	sattam	PROPN
ejpam-4249	3	31	bin	bin	PROPN
ejpam-4249	3	32	abdulaziz	abdulaziz	PROPN
ejpam-4249	3	33	university	university	PROPN
ejpam-4249	3	34	,	,	PUNCT
ejpam-4249	3	35	alkharj	alkharj	VERB
ejpam-4249	3	36	11942	11942	NUM
ejpam-4249	3	37	,	,	PUNCT
ejpam-4249	3	38	kingdom	kingdom	NOUN
ejpam-4249	3	39	of	of	ADP
ejpam-4249	3	40	saudi	saudi	PROPN
ejpam-4249	3	41	arabia	arabia	PROPN
ejpam-4249	3	42	3	3	NUM
ejpam-4249	3	43	department	department	NOUN
ejpam-4249	3	44	of	of	ADP
ejpam-4249	3	45	mathematics	mathematic	NOUN
ejpam-4249	3	46	,	,	PUNCT
ejpam-4249	3	47	faculty	faculty	NOUN
ejpam-4249	3	48	of	of	ADP
ejpam-4249	3	49	science	science	NOUN
ejpam-4249	3	50	,	,	PUNCT
ejpam-4249	3	51	new	new	ADJ
ejpam-4249	3	52	valley	valley	NOUN
ejpam-4249	3	53	university	university	NOUN
ejpam-4249	3	54	,	,	PUNCT
ejpam-4249	3	55	elkharga	elkharga	NOUN
ejpam-4249	3	56	72511	72511	NUM
ejpam-4249	3	57	,	,	PUNCT
ejpam-4249	3	58	egypt	egypt	PROPN
ejpam-4249	3	59	4	4	NUM
ejpam-4249	3	60	department	department	NOUN
ejpam-4249	3	61	of	of	ADP
ejpam-4249	3	62	mathematics	mathematic	NOUN
ejpam-4249	3	63	,	,	PUNCT
ejpam-4249	3	64	faculty	faculty	NOUN
ejpam-4249	3	65	of	of	ADP
ejpam-4249	3	66	science	science	NOUN
ejpam-4249	3	67	and	and	CCONJ
ejpam-4249	3	68	arts	art	NOUN
ejpam-4249	3	69	in	in	ADP
ejpam-4249	3	70	al	al	PROPN
ejpam-4249	3	71	-	-	PUNCT
ejpam-4249	3	72	mandaq	mandaq	PROPN
ejpam-4249	3	73	,	,	PUNCT
ejpam-4249	3	74	al	al	PROPN
ejpam-4249	3	75	baha	baha	PROPN
ejpam-4249	3	76	university	university	PROPN
ejpam-4249	3	77	,	,	PUNCT
ejpam-4249	3	78	p.o.box1988	p.o.box1988	PROPN
ejpam-4249	3	79	,	,	PUNCT
ejpam-4249	3	80	kingdom	kingdom	NOUN
ejpam-4249	3	81	of	of	ADP
ejpam-4249	3	82	saudi	saudi	PROPN
ejpam-4249	3	83	arabia	arabia	PROPN
ejpam-4249	3	84	5	5	NUM
ejpam-4249	3	85	department	department	NOUN
ejpam-4249	3	86	of	of	ADP
ejpam-4249	3	87	mathematics	mathematic	NOUN
ejpam-4249	3	88	,	,	PUNCT
ejpam-4249	3	89	faculty	faculty	NOUN
ejpam-4249	3	90	of	of	ADP
ejpam-4249	3	91	science	science	NOUN
ejpam-4249	3	92	,	,	PUNCT
ejpam-4249	3	93	tanta	tanta	PROPN
ejpam-4249	3	94	university	university	PROPN
ejpam-4249	3	95	,	,	PUNCT
ejpam-4249	3	96	tanta	tanta	PROPN
ejpam-4249	3	97	,	,	PUNCT
ejpam-4249	3	98	egypt	egypt	PROPN
ejpam-4249	3	99	abstract	abstract	PROPN
ejpam-4249	3	100	.	.	PUNCT
ejpam-4249	4	1	as	as	ADP
ejpam-4249	4	2	a	a	DET
ejpam-4249	4	3	result	result	NOUN
ejpam-4249	4	4	of	of	ADP
ejpam-4249	4	5	the	the	DET
ejpam-4249	4	6	importance	importance	NOUN
ejpam-4249	4	7	of	of	ADP
ejpam-4249	4	8	topological	topological	ADJ
ejpam-4249	4	9	space	space	NOUN
ejpam-4249	4	10	in	in	ADP
ejpam-4249	4	11	data	data	NOUN
ejpam-4249	4	12	analysis	analysis	NOUN
ejpam-4249	4	13	and	and	CCONJ
ejpam-4249	4	14	some	some	DET
ejpam-4249	4	15	applications	application	NOUN
ejpam-4249	4	16	,	,	PUNCT
ejpam-4249	4	17	many	many	ADJ
ejpam-4249	4	18	researches	research	NOUN
ejpam-4249	4	19	have	have	AUX
ejpam-4249	4	20	used	use	VERB
ejpam-4249	4	21	various	various	ADJ
ejpam-4249	4	22	methods	method	NOUN
ejpam-4249	4	23	to	to	PART
ejpam-4249	4	24	expand	expand	VERB
ejpam-4249	4	25	that	that	DET
ejpam-4249	4	26	space	space	NOUN
ejpam-4249	4	27	,	,	PUNCT
ejpam-4249	4	28	including	include	VERB
ejpam-4249	4	29	the	the	DET
ejpam-4249	4	30	concept	concept	NOUN
ejpam-4249	4	31	of	of	ADP
ejpam-4249	4	32	ditopology	ditopology	NOUN
ejpam-4249	4	33	.	.	PUNCT
ejpam-4249	5	1	t.	t.	PROPN
ejpam-4249	5	2	dizman	dizman	NOUN
ejpam-4249	5	3	and	and	CCONJ
ejpam-4249	5	4	et	et	PROPN
ejpam-4249	5	5	al	al	PROPN
ejpam-4249	5	6	.	.	PROPN
ejpam-4249	5	7	presented	present	VERB
ejpam-4249	5	8	soft	soft	ADJ
ejpam-4249	5	9	ditopolgical	ditopolgical	ADJ
ejpam-4249	5	10	spaces	space	NOUN
ejpam-4249	5	11	in	in	ADP
ejpam-4249	5	12	2016	2016	NUM
ejpam-4249	5	13	.	.	PUNCT
ejpam-4249	6	1	we	we	PRON
ejpam-4249	6	2	define	define	VERB
ejpam-4249	6	3	new	new	ADJ
ejpam-4249	6	4	types	type	NOUN
ejpam-4249	6	5	of	of	ADP
ejpam-4249	6	6	nearly	nearly	ADV
ejpam-4249	6	7	soft	soft	ADJ
ejpam-4249	6	8	open	open	ADJ
ejpam-4249	6	9	sets	set	NOUN
ejpam-4249	6	10	in	in	ADP
ejpam-4249	6	11	soft	soft	ADJ
ejpam-4249	6	12	ditopology	ditopology	NOUN
ejpam-4249	6	13	as	as	ADP
ejpam-4249	6	14	soft	soft	ADJ
ejpam-4249	6	15	β	β	X
ejpam-4249	6	16	open	open	ADJ
ejpam-4249	6	17	,	,	PUNCT
ejpam-4249	6	18	soft	soft	ADJ
ejpam-4249	6	19	β	β	NOUN
ejpam-4249	6	20	closed	closed	ADJ
ejpam-4249	6	21	,	,	PUNCT
ejpam-4249	6	22	soft	soft	ADJ
ejpam-4249	6	23	preopen	preopen	ADJ
ejpam-4249	6	24	,	,	PUNCT
ejpam-4249	6	25	soft	soft	ADJ
ejpam-4249	6	26	semi	semi	ADJ
ejpam-4249	6	27	open	open	ADJ
ejpam-4249	6	28	,	,	PUNCT
ejpam-4249	6	29	and	and	CCONJ
ejpam-4249	6	30	some	some	DET
ejpam-4249	6	31	related	relate	VERB
ejpam-4249	6	32	properties	property	NOUN
ejpam-4249	6	33	in	in	ADP
ejpam-4249	6	34	this	this	DET
ejpam-4249	6	35	paper	paper	NOUN
ejpam-4249	6	36	.	.	PUNCT
ejpam-4249	7	1	soft	soft	ADJ
ejpam-4249	7	2	β	β	SYM
ejpam-4249	7	3	continuous	continuous	ADJ
ejpam-4249	7	4	and	and	CCONJ
ejpam-4249	7	5	soft	soft	ADJ
ejpam-4249	7	6	β	β	X
ejpam-4249	7	7	cocontinuous	cocontinuous	ADJ
ejpam-4249	7	8	functions	function	NOUN
ejpam-4249	7	9	were	be	AUX
ejpam-4249	7	10	also	also	ADV
ejpam-4249	7	11	introduced	introduce	VERB
ejpam-4249	7	12	.	.	PUNCT
ejpam-4249	8	1	finally	finally	ADV
ejpam-4249	8	2	,	,	PUNCT
ejpam-4249	8	3	soft	soft	ADJ
ejpam-4249	8	4	β	β	X
ejpam-4249	8	5	compact	compact	ADJ
ejpam-4249	8	6	,	,	PUNCT
ejpam-4249	8	7	soft	soft	ADJ
ejpam-4249	8	8	β	β	SYM
ejpam-4249	8	9	stable	stable	ADJ
ejpam-4249	8	10	and	and	CCONJ
ejpam-4249	8	11	soft	soft	ADJ
ejpam-4249	8	12	β	β	X
ejpam-4249	8	13	irresolute	irresolute	ADJ
ejpam-4249	8	14	concepts	concept	NOUN
ejpam-4249	8	15	were	be	AUX
ejpam-4249	8	16	discussed	discuss	VERB
ejpam-4249	8	17	,	,	PUNCT
ejpam-4249	8	18	and	and	CCONJ
ejpam-4249	8	19	some	some	PRON
ejpam-4249	8	20	of	of	ADP
ejpam-4249	8	21	the	the	DET
ejpam-4249	8	22	concepts	concept	NOUN
ejpam-4249	8	23	were	be	AUX
ejpam-4249	8	24	studied	study	VERB
ejpam-4249	8	25	in	in	ADP
ejpam-4249	8	26	this	this	DET
ejpam-4249	8	27	field	field	NOUN
ejpam-4249	8	28	.	.	PUNCT
ejpam-4249	9	1	2020	2020	NUM
ejpam-4249	9	2	mathematics	mathematic	NOUN
ejpam-4249	9	3	subject	subject	NOUN
ejpam-4249	9	4	classifications	classification	NOUN
ejpam-4249	9	5	:	:	PUNCT
ejpam-4249	9	6	54a05	54a05	NUM
ejpam-4249	9	7	,	,	PUNCT
ejpam-4249	9	8	54a20	54a20	NUM
ejpam-4249	9	9	,	,	PUNCT
ejpam-4249	9	10	54e55	54e55	NUM
ejpam-4249	9	11	key	key	ADJ
ejpam-4249	9	12	words	word	NOUN
ejpam-4249	9	13	and	and	CCONJ
ejpam-4249	9	14	phrases	phrase	NOUN
ejpam-4249	9	15	:	:	PUNCT
ejpam-4249	9	16	soft	soft	ADJ
ejpam-4249	9	17	set	set	NOUN
ejpam-4249	9	18	,	,	PUNCT
ejpam-4249	9	19	soft	soft	ADJ
ejpam-4249	9	20	topological	topological	ADJ
ejpam-4249	9	21	space	space	NOUN
ejpam-4249	9	22	,	,	PUNCT
ejpam-4249	9	23	ditopological	ditopological	ADJ
ejpam-4249	9	24	space	space	NOUN
ejpam-4249	9	25	,	,	PUNCT
ejpam-4249	9	26	soft	soft	ADJ
ejpam-4249	9	27	β	β	X
ejpam-4249	9	28	open	open	ADJ
ejpam-4249	9	29	and	and	CCONJ
ejpam-4249	9	30	soft	soft	ADJ
ejpam-4249	9	31	β	β	X
ejpam-4249	9	32	closed	closed	ADJ
ejpam-4249	9	33	sets	set	NOUN
ejpam-4249	9	34	,	,	PUNCT
ejpam-4249	9	35	soft	soft	ADJ
ejpam-4249	9	36	β	β	NOUN
ejpam-4249	9	37	continuous	continuous	ADJ
ejpam-4249	9	38	,	,	PUNCT
ejpam-4249	9	39	soft	soft	ADJ
ejpam-4249	9	40	β	β	X
ejpam-4249	9	41	compact	compact	ADJ
ejpam-4249	9	42	1	1	NUM
ejpam-4249	9	43	.	.	PUNCT
ejpam-4249	9	44	introduction	introduction	NOUN
ejpam-4249	9	45	and	and	CCONJ
ejpam-4249	9	46	preliminaries	preliminary	NOUN
ejpam-4249	9	47	in	in	ADP
ejpam-4249	9	48	the	the	DET
ejpam-4249	9	49	late	late	ADJ
ejpam-4249	9	50	twentieth	twentieth	ADJ
ejpam-4249	9	51	century	century	NOUN
ejpam-4249	9	52	,	,	PUNCT
ejpam-4249	9	53	molodtsov[11	molodtsov[11	VERB
ejpam-4249	9	54	]	]	PUNCT
ejpam-4249	9	55	introduced	introduce	VERB
ejpam-4249	9	56	the	the	DET
ejpam-4249	9	57	theory	theory	NOUN
ejpam-4249	9	58	of	of	ADP
ejpam-4249	9	59	soft	soft	ADJ
ejpam-4249	9	60	set	set	NOUN
ejpam-4249	9	61	as	as	ADP
ejpam-4249	9	62	a	a	DET
ejpam-4249	9	63	generalization	generalization	NOUN
ejpam-4249	9	64	of	of	ADP
ejpam-4249	9	65	the	the	DET
ejpam-4249	9	66	set	set	NOUN
ejpam-4249	9	67	theory	theory	NOUN
ejpam-4249	9	68	,	,	PUNCT
ejpam-4249	9	69	which	which	PRON
ejpam-4249	9	70	widely	widely	ADV
ejpam-4249	9	71	used	use	VERB
ejpam-4249	9	72	to	to	PART
ejpam-4249	9	73	deal	deal	VERB
ejpam-4249	9	74	with	with	ADP
ejpam-4249	9	75	incomplete	incomplete	ADJ
ejpam-4249	9	76	,	,	PUNCT
ejpam-4249	9	77	insufficient	insufficient	ADJ
ejpam-4249	9	78	information	information	NOUN
ejpam-4249	9	79	for	for	ADP
ejpam-4249	9	80	its	its	PRON
ejpam-4249	9	81	study	study	NOUN
ejpam-4249	9	82	and	and	CCONJ
ejpam-4249	9	83	analysis	analysis	NOUN
ejpam-4249	9	84	,	,	PUNCT
ejpam-4249	9	85	which	which	PRON
ejpam-4249	9	86	similar	similar	ADJ
ejpam-4249	9	87	to	to	ADP
ejpam-4249	9	88	the	the	DET
ejpam-4249	9	89	rough	rough	ADJ
ejpam-4249	9	90	set	set	NOUN
ejpam-4249	9	91	theory	theory	NOUN
ejpam-4249	9	92	.	.	PUNCT
ejpam-4249	10	1	soft	soft	ADJ
ejpam-4249	10	2	set	set	NOUN
ejpam-4249	10	3	theory	theory	NOUN
ejpam-4249	10	4	and	and	CCONJ
ejpam-4249	10	5	its	its	PRON
ejpam-4249	10	6	applications	application	NOUN
ejpam-4249	10	7	are	be	AUX
ejpam-4249	10	8	now	now	ADV
ejpam-4249	10	9	advancing	advance	VERB
ejpam-4249	10	10	rapidly	rapidly	ADV
ejpam-4249	10	11	in	in	ADP
ejpam-4249	10	12	a	a	DET
ejpam-4249	10	13	variety	variety	NOUN
ejpam-4249	10	14	of	of	ADP
ejpam-4249	10	15	fields[5	fields[5	NOUN
ejpam-4249	10	16	,	,	PUNCT
ejpam-4249	10	17	7	7	NUM
ejpam-4249	10	18	,	,	PUNCT
ejpam-4249	10	19	8	8	NUM
ejpam-4249	10	20	,	,	PUNCT
ejpam-4249	10	21	13–15	13–15	NUM
ejpam-4249	10	22	,	,	PUNCT
ejpam-4249	10	23	19	19	NUM
ejpam-4249	10	24	]	]	PUNCT
ejpam-4249	10	25	.	.	PUNCT
ejpam-4249	11	1	maji	maji	PROPN
ejpam-4249	11	2	et	et	PROPN
ejpam-4249	11	3	al.[21	al.[21	PROPN
ejpam-4249	11	4	,	,	PUNCT
ejpam-4249	11	5	22	22	NUM
ejpam-4249	11	6	]	]	PUNCT
ejpam-4249	11	7	presented	present	VERB
ejpam-4249	11	8	some	some	DET
ejpam-4249	11	9	new	new	ADJ
ejpam-4249	11	10	definitions	definition	NOUN
ejpam-4249	11	11	of	of	ADP
ejpam-4249	11	12	soft	soft	ADJ
ejpam-4249	11	13	sets	set	NOUN
ejpam-4249	11	14	as	as	ADV
ejpam-4249	11	15	well	well	ADV
ejpam-4249	11	16	as	as	ADP
ejpam-4249	11	17	an	an	DET
ejpam-4249	11	18	application	application	NOUN
ejpam-4249	11	19	of	of	ADP
ejpam-4249	11	20	soft	soft	ADJ
ejpam-4249	11	21	sets	set	NOUN
ejpam-4249	11	22	in	in	ADP
ejpam-4249	11	23	decision	decision	NOUN
ejpam-4249	11	24	making	make	VERB
ejpam-4249	11	25	problems	problem	NOUN
ejpam-4249	11	26	.	.	PUNCT
ejpam-4249	12	1	jose	jose	PROPN
ejpam-4249	12	2	carlos	carlos	PROPN
ejpam-4249	12	3	et	et	PROPN
ejpam-4249	12	4	al.[6	al.[6	PROPN
ejpam-4249	12	5	]	]	PUNCT
ejpam-4249	12	6	participated	participate	VERB
ejpam-4249	12	7	in	in	ADP
ejpam-4249	12	8	the	the	DET
ejpam-4249	12	9	development	development	NOUN
ejpam-4249	12	10	and	and	CCONJ
ejpam-4249	12	11	improvement	improvement	NOUN
ejpam-4249	12	12	of	of	ADP
ejpam-4249	12	13	soft	soft	ADJ
ejpam-4249	12	14	topology	topology	NOUN
ejpam-4249	12	15	.	.	PUNCT
ejpam-4249	13	1	the	the	DET
ejpam-4249	13	2	idea	idea	NOUN
ejpam-4249	13	3	of	of	ADP
ejpam-4249	13	4	a	a	DET
ejpam-4249	13	5	generalization	generalization	NOUN
ejpam-4249	13	6	of	of	ADP
ejpam-4249	13	7	the	the	DET
ejpam-4249	13	8	topological	topological	ADJ
ejpam-4249	13	9	space	space	NOUN
ejpam-4249	13	10	by	by	ADP
ejpam-4249	13	11	using	use	VERB
ejpam-4249	13	12	novel	novel	ADJ
ejpam-4249	13	13	concepts	concept	NOUN
ejpam-4249	13	14	as	as	ADP
ejpam-4249	13	15	ideal	ideal	ADJ
ejpam-4249	13	16	,	,	PUNCT
ejpam-4249	13	17	grill	grill	ADJ
ejpam-4249	13	18	,	,	PUNCT
ejpam-4249	13	19	filter[3	filter[3	NOUN
ejpam-4249	13	20	,	,	PUNCT
ejpam-4249	13	21	9	9	NUM
ejpam-4249	13	22	,	,	PUNCT
ejpam-4249	13	23	16	16	NUM
ejpam-4249	13	24	,	,	PUNCT
ejpam-4249	13	25	24	24	NUM
ejpam-4249	13	26	]	]	PUNCT
ejpam-4249	13	27	coming	come	VERB
ejpam-4249	13	28	as	as	ADP
ejpam-4249	13	29	a	a	DET
ejpam-4249	13	30	result	result	NOUN
ejpam-4249	13	31	of	of	ADP
ejpam-4249	13	32	the	the	DET
ejpam-4249	13	33	importance	importance	NOUN
ejpam-4249	13	34	of	of	ADP
ejpam-4249	13	35	topological	topological	ADJ
ejpam-4249	13	36	space	space	NOUN
ejpam-4249	13	37	and	and	CCONJ
ejpam-4249	13	38	used	use	VERB
ejpam-4249	13	39	it	it	PRON
ejpam-4249	13	40	to	to	PART
ejpam-4249	13	41	solve	solve	VERB
ejpam-4249	13	42	some	some	PRON
ejpam-4249	13	43	of	of	ADP
ejpam-4249	13	44	the	the	DET
ejpam-4249	13	45	measures	measure	NOUN
ejpam-4249	13	46	things	thing	NOUN
ejpam-4249	13	47	that	that	PRON
ejpam-4249	13	48	were	be	AUX
ejpam-4249	13	49	previously	previously	ADV
ejpam-4249	13	50	∗corresponding	∗corresponde	VERB
ejpam-4249	13	51	author	author	NOUN
ejpam-4249	13	52	.	.	PUNCT
ejpam-4249	14	1	doi	doi	NOUN
ejpam-4249	14	2	:	:	PUNCT
ejpam-4249	14	3	https://doi.org/10.29020/nybg.ejpam.v15i1.4249	https://doi.org/10.29020/nybg.ejpam.v15i1.4249	PROPN
ejpam-4249	14	4	email	email	NOUN
ejpam-4249	14	5	addresses	address	NOUN
ejpam-4249	14	6	:	:	PUNCT
ejpam-4249	14	7	rgdairi@zu.edu.jo	rgdairi@zu.edu.jo	PROPN
ejpam-4249	14	8	(	(	PUNCT
ejpam-4249	14	9	r.	r.	PROPN
ejpam-4249	14	10	abu	abu	PROPN
ejpam-4249	14	11	-	-	PUNCT
ejpam-4249	14	12	gdairi	gdairi	PROPN
ejpam-4249	14	13	)	)	PUNCT
ejpam-4249	14	14	,	,	PUNCT
ejpam-4249	14	15	azzam0911@yahoo.com	azzam0911@yahoo.com	X
ejpam-4249	14	16	(	(	PUNCT
ejpam-4249	14	17	a.	a.	NOUN
ejpam-4249	14	18	a.	a.	PROPN
ejpam-4249	14	19	azzam	azzam	PROPN
ejpam-4249	14	20	)	)	PUNCT
ejpam-4249	14	21	,	,	PUNCT
ejpam-4249	14	22	noaman20102001@yahoo.com	noaman20102001@yahoo.com	X
ejpam-4249	14	23	(	(	PUNCT
ejpam-4249	14	24	i.noaman	i.noaman	NOUN
ejpam-4249	14	25	)	)	PUNCT
ejpam-4249	14	26	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-4249	15	1	126	126	NUM
ejpam-4249	15	2	©	©	PROPN
ejpam-4249	15	3	2022	2022	NUM
ejpam-4249	15	4	ejpam	ejpam	VERB
ejpam-4249	15	5	all	all	DET
ejpam-4249	15	6	rights	right	NOUN
ejpam-4249	15	7	reserved	reserve	VERB
ejpam-4249	15	8	.	.	PUNCT
ejpam-4249	16	1	r.	r.	PROPN
ejpam-4249	16	2	abu	abu	PROPN
ejpam-4249	16	3	-	-	PUNCT
ejpam-4249	16	4	gdairi	gdairi	PROPN
ejpam-4249	16	5	,	,	PUNCT
ejpam-4249	16	6	a.	a.	PROPN
ejpam-4249	16	7	a.	a.	PROPN
ejpam-4249	16	8	azzam	azzam	PROPN
ejpam-4249	16	9	,	,	PUNCT
ejpam-4249	16	10	i.	i.	PROPN
ejpam-4249	16	11	noaman	noaman	PROPN
ejpam-4249	16	12	/	/	SYM
ejpam-4249	16	13	eur	eur	PROPN
ejpam-4249	16	14	.	.	PUNCT
ejpam-4249	17	1	j.	j.	PROPN
ejpam-4249	17	2	pure	pure	PROPN
ejpam-4249	17	3	appl	appl	PROPN
ejpam-4249	17	4	.	.	PROPN
ejpam-4249	17	5	math	math	PROPN
ejpam-4249	17	6	,	,	PUNCT
ejpam-4249	17	7	15	15	NUM
ejpam-4249	17	8	(	(	PUNCT
ejpam-4249	17	9	1	1	NUM
ejpam-4249	17	10	)	)	PUNCT
ejpam-4249	17	11	(	(	PUNCT
ejpam-4249	17	12	2022	2022	NUM
ejpam-4249	17	13	)	)	PUNCT
ejpam-4249	17	14	,	,	PUNCT
ejpam-4249	17	15	126	126	NUM
ejpam-4249	17	16	-	-	SYM
ejpam-4249	17	17	134	134	NUM
ejpam-4249	17	18	127	127	NUM
ejpam-4249	17	19	difficult	difficult	ADJ
ejpam-4249	17	20	to	to	PART
ejpam-4249	17	21	solve	solve	VERB
ejpam-4249	17	22	.	.	PUNCT
ejpam-4249	18	1	the	the	DET
ejpam-4249	18	2	mysterious	mysterious	ADJ
ejpam-4249	18	3	set	set	NOUN
ejpam-4249	18	4	theory	theory	NOUN
ejpam-4249	18	5	and	and	CCONJ
ejpam-4249	18	6	other	other	ADJ
ejpam-4249	18	7	uncertain	uncertain	ADJ
ejpam-4249	18	8	knowledge	knowledge	NOUN
ejpam-4249	18	9	models	model	NOUN
ejpam-4249	18	10	have	have	AUX
ejpam-4249	18	11	led	lead	VERB
ejpam-4249	18	12	to	to	ADP
ejpam-4249	18	13	new	new	ADJ
ejpam-4249	18	14	approaches	approach	NOUN
ejpam-4249	18	15	to	to	ADP
ejpam-4249	18	16	decision	decision	NOUN
ejpam-4249	18	17	making	making	NOUN
ejpam-4249	18	18	as	as	ADP
ejpam-4249	18	19	[	[	X
ejpam-4249	18	20	2	2	NUM
ejpam-4249	18	21	,	,	PUNCT
ejpam-4249	18	22	4	4	NUM
ejpam-4249	18	23	]	]	PUNCT
ejpam-4249	18	24	.	.	PUNCT
ejpam-4249	19	1	so	so	ADV
ejpam-4249	19	2	,	,	PUNCT
ejpam-4249	19	3	brown	brown	ADJ
ejpam-4249	19	4	et	et	NOUN
ejpam-4249	19	5	al.[12	al.[12	PROPN
ejpam-4249	19	6	]	]	PUNCT
ejpam-4249	19	7	introduced	introduce	VERB
ejpam-4249	19	8	the	the	DET
ejpam-4249	19	9	concept	concept	NOUN
ejpam-4249	19	10	of	of	ADP
ejpam-4249	19	11	ditopological	ditopological	ADJ
ejpam-4249	19	12	space	space	NOUN
ejpam-4249	19	13	as	as	ADP
ejpam-4249	19	14	a	a	DET
ejpam-4249	19	15	generalization	generalization	NOUN
ejpam-4249	19	16	of	of	ADP
ejpam-4249	19	17	topological	topological	ADJ
ejpam-4249	19	18	spaces	space	NOUN
ejpam-4249	19	19	.	.	PUNCT
ejpam-4249	20	1	the	the	DET
ejpam-4249	20	2	concept	concept	NOUN
ejpam-4249	20	3	of	of	ADP
ejpam-4249	20	4	ditopological	ditopological	ADJ
ejpam-4249	20	5	space	space	NOUN
ejpam-4249	20	6	via	via	ADP
ejpam-4249	20	7	the	the	DET
ejpam-4249	20	8	soft	soft	ADJ
ejpam-4249	20	9	set	set	NOUN
ejpam-4249	20	10	theory	theory	NOUN
ejpam-4249	20	11	with	with	ADP
ejpam-4249	20	12	separation	separation	NOUN
ejpam-4249	20	13	axioms	axiom	NOUN
ejpam-4249	20	14	of	of	ADP
ejpam-4249	20	15	soft	soft	ADJ
ejpam-4249	20	16	ditopological	ditopological	ADJ
ejpam-4249	20	17	space	space	NOUN
ejpam-4249	20	18	introduced	introduce	VERB
ejpam-4249	20	19	by	by	ADP
ejpam-4249	20	20	senel	senel	PROPN
ejpam-4249	20	21	in	in	ADP
ejpam-4249	20	22	2016	2016	NUM
ejpam-4249	20	23	[	[	X
ejpam-4249	20	24	23	23	NUM
ejpam-4249	20	25	]	]	PUNCT
ejpam-4249	20	26	.	.	PUNCT
ejpam-4249	21	1	where	where	SCONJ
ejpam-4249	21	2	the	the	DET
ejpam-4249	21	3	idea	idea	NOUN
ejpam-4249	21	4	of	of	ADP
ejpam-4249	21	5	ditopological	ditopological	ADJ
ejpam-4249	21	6	spaces	space	NOUN
ejpam-4249	21	7	depends	depend	VERB
ejpam-4249	21	8	on	on	ADP
ejpam-4249	21	9	two	two	NUM
ejpam-4249	21	10	structures	structure	NOUN
ejpam-4249	21	11	soft	soft	ADJ
ejpam-4249	21	12	topology	topology	NOUN
ejpam-4249	21	13	and	and	CCONJ
ejpam-4249	21	14	soft	soft	ADJ
ejpam-4249	21	15	cotopology	cotopology	NOUN
ejpam-4249	21	16	.	.	PUNCT
ejpam-4249	22	1	also	also	ADV
ejpam-4249	22	2	,	,	PUNCT
ejpam-4249	22	3	senel	senel	PROPN
ejpam-4249	23	1	[	[	X
ejpam-4249	23	2	23	23	NUM
ejpam-4249	23	3	]	]	PUNCT
ejpam-4249	23	4	introduced	introduce	VERB
ejpam-4249	23	5	soft	soft	ADJ
ejpam-4249	23	6	ditopological	ditopological	ADJ
ejpam-4249	23	7	spaces	space	NOUN
ejpam-4249	23	8	as	as	ADP
ejpam-4249	23	9	a	a	DET
ejpam-4249	23	10	soft	soft	ADJ
ejpam-4249	23	11	generalization	generalization	NOUN
ejpam-4249	23	12	of	of	ADP
ejpam-4249	23	13	ditopology	ditopology	NOUN
ejpam-4249	23	14	concept	concept	NOUN
ejpam-4249	23	15	,	,	PUNCT
ejpam-4249	23	16	which	which	PRON
ejpam-4249	23	17	depends	depend	VERB
ejpam-4249	23	18	on	on	ADP
ejpam-4249	23	19	two	two	NUM
ejpam-4249	23	20	structures	structure	NOUN
ejpam-4249	23	21	a	a	DET
ejpam-4249	23	22	soft	soft	ADJ
ejpam-4249	23	23	topology	topology	NOUN
ejpam-4249	23	24	and	and	CCONJ
ejpam-4249	23	25	a	a	DET
ejpam-4249	23	26	soft	soft	ADJ
ejpam-4249	23	27	subspace	subspace	NOUN
ejpam-4249	23	28	topology	topology	NOUN
ejpam-4249	23	29	.	.	PUNCT
ejpam-4249	24	1	s.	s.	PROPN
ejpam-4249	24	2	dost	dost	VERB
ejpam-4249	24	3	et	et	PROPN
ejpam-4249	24	4	al	al	PROPN
ejpam-4249	24	5	.	.	PUNCT
ejpam-4249	25	1	in[12	in[12	PROPN
ejpam-4249	25	2	]	]	PUNCT
ejpam-4249	25	3	introduced	introduce	VERB
ejpam-4249	25	4	the	the	DET
ejpam-4249	25	5	concept	concept	NOUN
ejpam-4249	25	6	of	of	ADP
ejpam-4249	25	7	β	β	X
ejpam-4249	25	8	open	open	ADJ
ejpam-4249	25	9	and	and	CCONJ
ejpam-4249	25	10	β	β	NOUN
ejpam-4249	25	11	closed	close	VERB
ejpam-4249	25	12	in	in	ADP
ejpam-4249	25	13	ditopological	ditopological	ADJ
ejpam-4249	25	14	texture	texture	NOUN
ejpam-4249	25	15	spaces	space	NOUN
ejpam-4249	25	16	.	.	PUNCT
ejpam-4249	26	1	in	in	ADP
ejpam-4249	26	2	this	this	DET
ejpam-4249	26	3	paper	paper	NOUN
ejpam-4249	26	4	,	,	PUNCT
ejpam-4249	26	5	we	we	PRON
ejpam-4249	26	6	will	will	AUX
ejpam-4249	26	7	introduce	introduce	VERB
ejpam-4249	26	8	some	some	PRON
ejpam-4249	26	9	of	of	ADP
ejpam-4249	26	10	the	the	DET
ejpam-4249	26	11	nearly	nearly	ADV
ejpam-4249	26	12	soft	soft	ADJ
ejpam-4249	26	13	β	β	X
ejpam-4249	26	14	open	open	ADJ
ejpam-4249	26	15	sets	set	NOUN
ejpam-4249	26	16	,	,	PUNCT
ejpam-4249	26	17	the	the	DET
ejpam-4249	26	18	study	study	NOUN
ejpam-4249	26	19	of	of	ADP
ejpam-4249	26	20	soft	soft	ADJ
ejpam-4249	26	21	β	β	NOUN
ejpam-4249	26	22	compactness	compactness	NOUN
ejpam-4249	26	23	and	and	CCONJ
ejpam-4249	26	24	soft	soft	ADJ
ejpam-4249	26	25	β	β	X
ejpam-4249	26	26	cocompactness	cocompactness	NOUN
ejpam-4249	26	27	.	.	PUNCT
ejpam-4249	27	1	also	also	ADV
ejpam-4249	27	2	,	,	PUNCT
ejpam-4249	27	3	soft	soft	ADJ
ejpam-4249	27	4	β	β	SYM
ejpam-4249	27	5	stable	stable	ADJ
ejpam-4249	27	6	and	and	CCONJ
ejpam-4249	27	7	soft	soft	ADJ
ejpam-4249	27	8	β	β	X
ejpam-4249	27	9	irresolute	irresolute	NOUN
ejpam-4249	27	10	were	be	AUX
ejpam-4249	27	11	introduced	introduce	VERB
ejpam-4249	27	12	in	in	ADP
ejpam-4249	27	13	soft	soft	ADJ
ejpam-4249	27	14	ditopological	ditopological	ADJ
ejpam-4249	27	15	spaces	space	NOUN
ejpam-4249	27	16	and	and	CCONJ
ejpam-4249	27	17	study	study	VERB
ejpam-4249	27	18	some	some	PRON
ejpam-4249	27	19	of	of	ADP
ejpam-4249	27	20	their	their	PRON
ejpam-4249	27	21	properties	property	NOUN
ejpam-4249	27	22	.	.	PUNCT
ejpam-4249	28	1	through	through	ADP
ejpam-4249	28	2	this	this	DET
ejpam-4249	28	3	section	section	NOUN
ejpam-4249	28	4	,	,	PUNCT
ejpam-4249	28	5	we	we	PRON
ejpam-4249	28	6	recall	recall	VERB
ejpam-4249	28	7	several	several	ADJ
ejpam-4249	28	8	basic	basic	ADJ
ejpam-4249	28	9	notions	notion	NOUN
ejpam-4249	28	10	related	relate	VERB
ejpam-4249	28	11	to	to	ADP
ejpam-4249	28	12	soft	soft	ADJ
ejpam-4249	28	13	set	set	NOUN
ejpam-4249	28	14	,	,	PUNCT
ejpam-4249	28	15	soft	soft	ADJ
ejpam-4249	28	16	topological	topological	ADJ
ejpam-4249	28	17	space	space	NOUN
ejpam-4249	28	18	,	,	PUNCT
ejpam-4249	28	19	soft	soft	ADJ
ejpam-4249	28	20	cotopological	cotopological	ADJ
ejpam-4249	28	21	space	space	NOUN
ejpam-4249	28	22	,	,	PUNCT
ejpam-4249	28	23	and	and	CCONJ
ejpam-4249	28	24	some	some	PRON
ejpam-4249	28	25	of	of	ADP
ejpam-4249	28	26	the	the	DET
ejpam-4249	28	27	nearly	nearly	ADV
ejpam-4249	28	28	soft	soft	ADJ
ejpam-4249	28	29	open	open	ADJ
ejpam-4249	28	30	sets	set	NOUN
ejpam-4249	28	31	through	through	ADP
ejpam-4249	28	32	soft	soft	ADJ
ejpam-4249	28	33	topological	topological	ADJ
ejpam-4249	28	34	space	space	NOUN
ejpam-4249	28	35	,	,	PUNCT
ejpam-4249	28	36	which	which	PRON
ejpam-4249	28	37	handled	handle	VERB
ejpam-4249	28	38	in	in	ADP
ejpam-4249	28	39	mentioned	mention	VERB
ejpam-4249	28	40	in	in	ADP
ejpam-4249	28	41	[	[	X
ejpam-4249	28	42	10–12	10–12	NUM
ejpam-4249	28	43	,	,	PUNCT
ejpam-4249	28	44	17	17	NUM
ejpam-4249	28	45	,	,	PUNCT
ejpam-4249	28	46	18	18	NUM
ejpam-4249	28	47	,	,	PUNCT
ejpam-4249	28	48	20	20	NUM
ejpam-4249	28	49	]	]	PUNCT
ejpam-4249	28	50	.	.	PUNCT
ejpam-4249	29	1	through	through	ADP
ejpam-4249	29	2	this	this	DET
ejpam-4249	29	3	paper	paper	NOUN
ejpam-4249	29	4	,	,	PUNCT
ejpam-4249	29	5	we	we	PRON
ejpam-4249	29	6	notice	notice	VERB
ejpam-4249	29	7	that	that	SCONJ
ejpam-4249	29	8	u	u	PRON
ejpam-4249	29	9	refers	refer	VERB
ejpam-4249	29	10	to	to	ADP
ejpam-4249	29	11	an	an	DET
ejpam-4249	29	12	universal	universal	ADJ
ejpam-4249	29	13	set	set	NOUN
ejpam-4249	29	14	,	,	PUNCT
ejpam-4249	29	15	e	e	X
ejpam-4249	29	16	is	be	AUX
ejpam-4249	29	17	the	the	DET
ejpam-4249	29	18	soft	soft	ADJ
ejpam-4249	29	19	parameters	parameter	NOUN
ejpam-4249	29	20	and	and	CCONJ
ejpam-4249	29	21	p	p	X
ejpam-4249	29	22	(	(	PUNCT
ejpam-4249	29	23	u	u	NOUN
ejpam-4249	29	24	)	)	PUNCT
ejpam-4249	29	25	is	be	AUX
ejpam-4249	29	26	the	the	DET
ejpam-4249	29	27	power	power	NOUN
ejpam-4249	29	28	set	set	NOUN
ejpam-4249	29	29	of	of	ADP
ejpam-4249	29	30	u	u	PROPN
ejpam-4249	29	31	.	.	PUNCT
ejpam-4249	29	32	.	.	PUNCT
ejpam-4249	30	1	definition	definition	NOUN
ejpam-4249	30	2	1	1	NUM
ejpam-4249	30	3	.	.	PUNCT
ejpam-4249	31	1	[	[	X
ejpam-4249	31	2	11	11	NUM
ejpam-4249	31	3	]	]	PUNCT
ejpam-4249	31	4	on	on	ADP
ejpam-4249	31	5	universal	universal	ADJ
ejpam-4249	31	6	set	set	VERB
ejpam-4249	31	7	u	u	PROPN
ejpam-4249	31	8	,	,	PUNCT
ejpam-4249	31	9	a	a	DET
ejpam-4249	31	10	pair	pair	NOUN
ejpam-4249	31	11	(	(	PUNCT
ejpam-4249	31	12	f	f	X
ejpam-4249	31	13	,	,	PUNCT
ejpam-4249	31	14	e	e	NOUN
ejpam-4249	31	15	)	)	PUNCT
ejpam-4249	31	16	is	be	AUX
ejpam-4249	31	17	called	call	VERB
ejpam-4249	31	18	a	a	DET
ejpam-4249	31	19	soft	soft	ADJ
ejpam-4249	31	20	set	set	NOUN
ejpam-4249	31	21	if	if	SCONJ
ejpam-4249	31	22	and	and	CCONJ
ejpam-4249	31	23	only	only	ADV
ejpam-4249	31	24	if	if	SCONJ
ejpam-4249	31	25	f	f	PROPN
ejpam-4249	31	26	is	be	AUX
ejpam-4249	31	27	a	a	DET
ejpam-4249	31	28	mapping	mapping	NOUN
ejpam-4249	31	29	from	from	ADP
ejpam-4249	31	30	e	e	NOUN
ejpam-4249	31	31	into	into	ADP
ejpam-4249	31	32	the	the	DET
ejpam-4249	31	33	power	power	NOUN
ejpam-4249	31	34	set	set	NOUN
ejpam-4249	31	35	p	p	PROPN
ejpam-4249	31	36	(	(	PUNCT
ejpam-4249	31	37	u	u	NOUN
ejpam-4249	31	38	)	)	PUNCT
ejpam-4249	31	39	.	.	PUNCT
ejpam-4249	32	1	to	to	PART
ejpam-4249	32	2	put	put	VERB
ejpam-4249	32	3	it	it	PRON
ejpam-4249	32	4	another	another	DET
ejpam-4249	32	5	way	way	NOUN
ejpam-4249	32	6	,	,	PUNCT
ejpam-4249	32	7	the	the	DET
ejpam-4249	32	8	soft	soft	ADJ
ejpam-4249	32	9	set	set	NOUN
ejpam-4249	32	10	is	be	AUX
ejpam-4249	32	11	a	a	DET
ejpam-4249	32	12	parametrized	parametrized	ADJ
ejpam-4249	32	13	family	family	NOUN
ejpam-4249	32	14	of	of	ADP
ejpam-4249	32	15	subsets	subset	NOUN
ejpam-4249	32	16	of	of	ADP
ejpam-4249	32	17	the	the	DET
ejpam-4249	32	18	set	set	ADJ
ejpam-4249	32	19	u	u	NOUN
ejpam-4249	32	20	.	.	PUNCT
ejpam-4249	33	1	every	every	DET
ejpam-4249	33	2	setf(e	setf(e	PROPN
ejpam-4249	33	3	)	)	PUNCT
ejpam-4249	33	4	,	,	PUNCT
ejpam-4249	33	5	e	e	PROPN
ejpam-4249	33	6	∈	∈	PROPN
ejpam-4249	33	7	e	e	X
ejpam-4249	33	8	in	in	ADP
ejpam-4249	33	9	this	this	DET
ejpam-4249	33	10	family	family	NOUN
ejpam-4249	33	11	can	can	AUX
ejpam-4249	33	12	be	be	AUX
ejpam-4249	33	13	thought	think	VERB
ejpam-4249	33	14	of	of	ADP
ejpam-4249	33	15	as	as	ADP
ejpam-4249	33	16	the	the	DET
ejpam-4249	33	17	set	set	NOUN
ejpam-4249	33	18	of	of	ADP
ejpam-4249	33	19	e	e	NOUN
ejpam-4249	33	20	-	-	NOUN
ejpam-4249	33	21	elements	element	NOUN
ejpam-4249	33	22	of	of	ADP
ejpam-4249	33	23	the	the	DET
ejpam-4249	33	24	soft	soft	ADJ
ejpam-4249	33	25	set	set	NOUN
ejpam-4249	33	26	(	(	PUNCT
ejpam-4249	33	27	f	f	X
ejpam-4249	33	28	,	,	PUNCT
ejpam-4249	33	29	e	e	NOUN
ejpam-4249	33	30	)	)	PUNCT
ejpam-4249	33	31	,	,	PUNCT
ejpam-4249	33	32	or	or	CCONJ
ejpam-4249	33	33	as	as	ADP
ejpam-4249	33	34	the	the	DET
ejpam-4249	33	35	set	set	NOUN
ejpam-4249	33	36	of	of	ADP
ejpam-4249	33	37	e	e	NOUN
ejpam-4249	33	38	-	-	ADJ
ejpam-4249	33	39	approximate	approximate	ADJ
ejpam-4249	33	40	elements	element	NOUN
ejpam-4249	33	41	of	of	ADP
ejpam-4249	33	42	the	the	DET
ejpam-4249	33	43	soft	soft	ADJ
ejpam-4249	33	44	set	set	NOUN
ejpam-4249	33	45	..	..	PUNCT
ejpam-4249	33	46	definition	definition	NOUN
ejpam-4249	33	47	2	2	NUM
ejpam-4249	33	48	.	.	PUNCT
ejpam-4249	34	1	[	[	X
ejpam-4249	34	2	20	20	NUM
ejpam-4249	34	3	]	]	X
ejpam-4249	34	4	if	if	SCONJ
ejpam-4249	34	5	τ	τ	PROPN
ejpam-4249	34	6	is	be	AUX
ejpam-4249	34	7	defined	define	VERB
ejpam-4249	34	8	as	as	ADP
ejpam-4249	34	9	the	the	DET
ejpam-4249	34	10	collection	collection	NOUN
ejpam-4249	34	11	of	of	ADP
ejpam-4249	34	12	soft	soft	ADJ
ejpam-4249	34	13	sets	set	NOUN
ejpam-4249	34	14	over	over	ADP
ejpam-4249	34	15	x	x	NOUN
ejpam-4249	34	16	,	,	PUNCT
ejpam-4249	34	17	then	then	ADV
ejpam-4249	34	18	τ	τ	PROPN
ejpam-4249	34	19	is	be	AUX
ejpam-4249	34	20	said	say	VERB
ejpam-4249	34	21	to	to	PART
ejpam-4249	34	22	be	be	AUX
ejpam-4249	34	23	a	a	DET
ejpam-4249	34	24	soft	soft	ADJ
ejpam-4249	34	25	topology	topology	NOUN
ejpam-4249	34	26	on	on	ADP
ejpam-4249	34	27	x	x	PUNCT
ejpam-4249	34	28	if	if	SCONJ
ejpam-4249	34	29	it	it	PRON
ejpam-4249	34	30	fulfills	fulfill	VERB
ejpam-4249	34	31	the	the	DET
ejpam-4249	34	32	following	follow	VERB
ejpam-4249	34	33	axioms	axiom	NOUN
ejpam-4249	34	34	:	:	PUNCT
ejpam-4249	34	35	(	(	PUNCT
ejpam-4249	34	36	1)x	1)x	NUM
ejpam-4249	34	37	,	,	PUNCT
ejpam-4249	34	38	φ	φ	PROPN
ejpam-4249	34	39	∈	∈	PROPN
ejpam-4249	34	40	τ	τ	X
ejpam-4249	34	41	,	,	PUNCT
ejpam-4249	34	42	where	where	SCONJ
ejpam-4249	34	43	φ(e	φ(e	NUM
ejpam-4249	34	44	)	)	PUNCT
ejpam-4249	34	45	=	=	SYM
ejpam-4249	34	46	φ	φ	PROPN
ejpam-4249	34	47	and	and	CCONJ
ejpam-4249	34	48	x(e	x(e	PROPN
ejpam-4249	34	49	)	)	PUNCT
ejpam-4249	34	50	=	=	SYM
ejpam-4249	35	1	x	x	X
ejpam-4249	35	2	,	,	PUNCT
ejpam-4249	35	3	∀e	∀e	PROPN
ejpam-4249	35	4	∈	∈	PROPN
ejpam-4249	35	5	e.	e.	PROPN
ejpam-4249	35	6	(	(	PUNCT
ejpam-4249	35	7	2	2	NUM
ejpam-4249	35	8	)	)	PUNCT
ejpam-4249	35	9	the	the	DET
ejpam-4249	35	10	union	union	NOUN
ejpam-4249	35	11	of	of	ADP
ejpam-4249	35	12	any	any	DET
ejpam-4249	35	13	number	number	NOUN
ejpam-4249	35	14	of	of	ADP
ejpam-4249	35	15	soft	soft	ADJ
ejpam-4249	35	16	sets	set	NOUN
ejpam-4249	35	17	in	in	ADP
ejpam-4249	35	18	τ	τ	PROPN
ejpam-4249	35	19	belongs	belong	VERB
ejpam-4249	35	20	to	to	ADP
ejpam-4249	35	21	τ	τ	PROPN
ejpam-4249	35	22	.	.	PUNCT
ejpam-4249	36	1	(	(	PUNCT
ejpam-4249	36	2	3	3	X
ejpam-4249	36	3	)	)	PUNCT
ejpam-4249	36	4	the	the	DET
ejpam-4249	36	5	intersection	intersection	NOUN
ejpam-4249	36	6	of	of	ADP
ejpam-4249	36	7	any	any	DET
ejpam-4249	36	8	two	two	NUM
ejpam-4249	36	9	soft	soft	ADJ
ejpam-4249	36	10	sets	set	NOUN
ejpam-4249	36	11	in	in	ADP
ejpam-4249	36	12	τ	τ	PROPN
ejpam-4249	36	13	belongs	belong	VERB
ejpam-4249	36	14	to	to	ADP
ejpam-4249	36	15	τ	τ	PROPN
ejpam-4249	36	16	.	.	PUNCT
ejpam-4249	37	1	the	the	DET
ejpam-4249	37	2	triple	triple	ADJ
ejpam-4249	37	3	(	(	PUNCT
ejpam-4249	37	4	x	x	NOUN
ejpam-4249	37	5	,	,	PUNCT
ejpam-4249	37	6	τ	τ	PROPN
ejpam-4249	37	7	,	,	PUNCT
ejpam-4249	37	8	e	e	NOUN
ejpam-4249	37	9	)	)	PUNCT
ejpam-4249	37	10	is	be	AUX
ejpam-4249	37	11	referred	refer	VERB
ejpam-4249	37	12	to	to	ADP
ejpam-4249	37	13	as	as	ADP
ejpam-4249	37	14	a	a	DET
ejpam-4249	37	15	soft	soft	ADJ
ejpam-4249	37	16	topological	topological	ADJ
ejpam-4249	37	17	space	space	NOUN
ejpam-4249	37	18	,	,	PUNCT
ejpam-4249	37	19	and	and	CCONJ
ejpam-4249	37	20	the	the	DET
ejpam-4249	37	21	members	member	NOUN
ejpam-4249	37	22	of	of	ADP
ejpam-4249	37	23	τ	τ	PROPN
ejpam-4249	37	24	are	be	AUX
ejpam-4249	37	25	referred	refer	VERB
ejpam-4249	37	26	to	to	ADP
ejpam-4249	37	27	as	as	ADP
ejpam-4249	37	28	soft	soft	ADJ
ejpam-4249	37	29	open	open	ADJ
ejpam-4249	37	30	sets	set	NOUN
ejpam-4249	37	31	.	.	PUNCT
ejpam-4249	38	1	definition	definition	NOUN
ejpam-4249	38	2	3	3	X
ejpam-4249	38	3	.	.	PUNCT
ejpam-4249	39	1	let	let	AUX
ejpam-4249	39	2	(	(	PUNCT
ejpam-4249	39	3	x	x	X
ejpam-4249	39	4	,	,	PUNCT
ejpam-4249	39	5	τ	τ	PROPN
ejpam-4249	39	6	,	,	PUNCT
ejpam-4249	39	7	e	e	NOUN
ejpam-4249	39	8	)	)	PUNCT
ejpam-4249	39	9	represent	represent	VERB
ejpam-4249	39	10	a	a	DET
ejpam-4249	39	11	soft	soft	ADJ
ejpam-4249	39	12	topological	topological	ADJ
ejpam-4249	39	13	space	space	NOUN
ejpam-4249	39	14	over	over	ADP
ejpam-4249	39	15	x	x	PUNCT
ejpam-4249	39	16	and	and	CCONJ
ejpam-4249	39	17	(	(	PUNCT
ejpam-4249	39	18	f	f	X
ejpam-4249	39	19	,	,	PUNCT
ejpam-4249	39	20	a	a	PRON
ejpam-4249	39	21	)	)	PUNCT
ejpam-4249	39	22	represent	represent	VERB
ejpam-4249	39	23	a	a	DET
ejpam-4249	39	24	soft	soft	ADJ
ejpam-4249	39	25	set	set	NOUN
ejpam-4249	39	26	over	over	ADP
ejpam-4249	39	27	x.	x.	NOUN
ejpam-4249	39	28	(	(	PUNCT
ejpam-4249	39	29	1	1	X
ejpam-4249	39	30	)	)	PUNCT
ejpam-4249	39	31	the	the	DET
ejpam-4249	39	32	soft	soft	ADJ
ejpam-4249	39	33	interior	interior	NOUN
ejpam-4249	39	34	of	of	ADP
ejpam-4249	39	35	(	(	PUNCT
ejpam-4249	39	36	f	f	X
ejpam-4249	39	37	,	,	PUNCT
ejpam-4249	39	38	a	a	NOUN
ejpam-4249	39	39	)	)	PUNCT
ejpam-4249	40	1	[	[	X
ejpam-4249	40	2	18	18	NUM
ejpam-4249	40	3	]	]	PUNCT
ejpam-4249	40	4	is	be	AUX
ejpam-4249	40	5	the	the	DET
ejpam-4249	40	6	soft	soft	ADJ
ejpam-4249	40	7	set	set	VERB
ejpam-4249	40	8	int	int	NOUN
ejpam-4249	40	9	(	(	PUNCT
ejpam-4249	40	10	f	f	X
ejpam-4249	40	11	,	,	PUNCT
ejpam-4249	40	12	a	a	PRON
ejpam-4249	40	13	)	)	PUNCT
ejpam-4249	40	14	=	=	SYM
ejpam-4249	40	15	x̃{(o	x̃{(o	NOUN
ejpam-4249	40	16	,	,	PUNCT
ejpam-4249	40	17	a	a	PRON
ejpam-4249	40	18	)	)	PUNCT
ejpam-4249	40	19	:	:	PUNCT
ejpam-4249	40	20	(	(	PUNCT
ejpam-4249	40	21	o	o	NOUN
ejpam-4249	40	22	,	,	PUNCT
ejpam-4249	40	23	a	a	PRON
ejpam-4249	40	24	)	)	PUNCT
ejpam-4249	40	25	is	be	AUX
ejpam-4249	40	26	the	the	DET
ejpam-4249	40	27	soft	soft	ADJ
ejpam-4249	40	28	open	open	ADJ
ejpam-4249	40	29	and	and	CCONJ
ejpam-4249	40	30	(	(	PUNCT
ejpam-4249	40	31	o	o	NOUN
ejpam-4249	40	32	,	,	PUNCT
ejpam-4249	40	33	a)⊆̃(f	a)⊆̃(f	PROPN
ejpam-4249	40	34	,	,	PUNCT
ejpam-4249	40	35	a	a	NOUN
ejpam-4249	40	36	)	)	PUNCT
ejpam-4249	40	37	}	}	PUNCT
ejpam-4249	40	38	.	.	PUNCT
ejpam-4249	41	1	(	(	PUNCT
ejpam-4249	41	2	2	2	X
ejpam-4249	41	3	)	)	PUNCT
ejpam-4249	41	4	the	the	DET
ejpam-4249	41	5	soft	soft	ADJ
ejpam-4249	41	6	closure	closure	NOUN
ejpam-4249	41	7	of	of	ADP
ejpam-4249	41	8	(	(	PUNCT
ejpam-4249	41	9	f	f	X
ejpam-4249	41	10	,	,	PUNCT
ejpam-4249	41	11	a	a	NOUN
ejpam-4249	41	12	)	)	PUNCT
ejpam-4249	42	1	[	[	X
ejpam-4249	42	2	20	20	NUM
ejpam-4249	42	3	]	]	PUNCT
ejpam-4249	42	4	is	be	AUX
ejpam-4249	42	5	the	the	DET
ejpam-4249	42	6	soft	soft	ADJ
ejpam-4249	42	7	set	set	NOUN
ejpam-4249	42	8	cl	cl	NOUN
ejpam-4249	42	9	(	(	PUNCT
ejpam-4249	42	10	f	f	X
ejpam-4249	42	11	,	,	PUNCT
ejpam-4249	42	12	a	a	PRON
ejpam-4249	42	13	)	)	PUNCT
ejpam-4249	42	14	=	=	SYM
ejpam-4249	42	15	∩̃{(c	∩̃{(c	NOUN
ejpam-4249	42	16	,	,	PUNCT
ejpam-4249	42	17	a	a	PRON
ejpam-4249	42	18	)	)	PUNCT
ejpam-4249	42	19	:	:	PUNCT
ejpam-4249	42	20	(	(	PUNCT
ejpam-4249	42	21	c	c	X
ejpam-4249	42	22	,	,	PUNCT
ejpam-4249	42	23	a	a	PRON
ejpam-4249	42	24	)	)	PUNCT
ejpam-4249	42	25	is	be	AUX
ejpam-4249	42	26	soft	soft	ADJ
ejpam-4249	42	27	closed	closed	ADJ
ejpam-4249	42	28	and	and	CCONJ
ejpam-4249	42	29	(	(	PUNCT
ejpam-4249	42	30	f	f	X
ejpam-4249	42	31	,	,	PUNCT
ejpam-4249	42	32	a)⊆̃(c	a)⊆̃(c	PROPN
ejpam-4249	42	33	,	,	PUNCT
ejpam-4249	42	34	a	a	PRON
ejpam-4249	42	35	)	)	PUNCT
ejpam-4249	42	36	}	}	PUNCT
ejpam-4249	42	37	.	.	PUNCT
ejpam-4249	43	1	definition	definition	NOUN
ejpam-4249	43	2	4	4	NUM
ejpam-4249	43	3	.	.	PUNCT
ejpam-4249	44	1	[	[	X
ejpam-4249	44	2	12	12	NUM
ejpam-4249	44	3	]	]	X
ejpam-4249	44	4	if	if	SCONJ
ejpam-4249	44	5	κ	κ	PROPN
ejpam-4249	44	6	is	be	AUX
ejpam-4249	44	7	the	the	DET
ejpam-4249	44	8	collection	collection	NOUN
ejpam-4249	44	9	of	of	ADP
ejpam-4249	44	10	complement	complement	NOUN
ejpam-4249	44	11	soft	soft	ADJ
ejpam-4249	44	12	sets	set	NOUN
ejpam-4249	44	13	over	over	ADP
ejpam-4249	44	14	x	x	NOUN
ejpam-4249	44	15	,	,	PUNCT
ejpam-4249	44	16	then	then	ADV
ejpam-4249	44	17	κ	κ	PROPN
ejpam-4249	44	18	is	be	AUX
ejpam-4249	44	19	said	say	VERB
ejpam-4249	44	20	to	to	PART
ejpam-4249	44	21	be	be	AUX
ejpam-4249	44	22	a	a	DET
ejpam-4249	44	23	soft	soft	ADJ
ejpam-4249	44	24	cotopology	cotopology	NOUN
ejpam-4249	44	25	on	on	ADP
ejpam-4249	44	26	x	x	PUNCT
ejpam-4249	44	27	if	if	SCONJ
ejpam-4249	44	28	it	it	PRON
ejpam-4249	44	29	obeys	obey	VERB
ejpam-4249	44	30	the	the	DET
ejpam-4249	44	31	following	following	ADJ
ejpam-4249	44	32	axioms	axiom	NOUN
ejpam-4249	44	33	:	:	PUNCT
ejpam-4249	44	34	(	(	PUNCT
ejpam-4249	44	35	1	1	X
ejpam-4249	44	36	)	)	PUNCT
ejpam-4249	44	37	φ	φ	NOUN
ejpam-4249	44	38	and	and	CCONJ
ejpam-4249	44	39	x̃	x̃	PROPN
ejpam-4249	44	40	∈	∈	PROPN
ejpam-4249	44	41	κ	κ	X
ejpam-4249	44	42	.	.	PUNCT
ejpam-4249	45	1	(	(	PUNCT
ejpam-4249	45	2	2	2	X
ejpam-4249	45	3	)	)	PUNCT
ejpam-4249	45	4	the	the	DET
ejpam-4249	45	5	intersection	intersection	NOUN
ejpam-4249	45	6	of	of	ADP
ejpam-4249	45	7	any	any	DET
ejpam-4249	45	8	number	number	NOUN
ejpam-4249	45	9	of	of	ADP
ejpam-4249	45	10	soft	soft	ADJ
ejpam-4249	45	11	sets	set	NOUN
ejpam-4249	45	12	in	in	ADP
ejpam-4249	45	13	κ	κ	PROPN
ejpam-4249	45	14	∈	∈	PROPN
ejpam-4249	45	15	κ	κ	X
ejpam-4249	45	16	.	.	PUNCT
ejpam-4249	46	1	(	(	PUNCT
ejpam-4249	46	2	3	3	X
ejpam-4249	46	3	)	)	PUNCT
ejpam-4249	46	4	the	the	DET
ejpam-4249	46	5	union	union	NOUN
ejpam-4249	46	6	of	of	ADP
ejpam-4249	46	7	any	any	DET
ejpam-4249	46	8	two	two	NUM
ejpam-4249	46	9	soft	soft	ADJ
ejpam-4249	46	10	sets	set	NOUN
ejpam-4249	46	11	in	in	ADP
ejpam-4249	46	12	κ	κ	PROPN
ejpam-4249	46	13	∈	∈	PROPN
ejpam-4249	46	14	κ	κ	NOUN
ejpam-4249	46	15	.	.	PUNCT
ejpam-4249	47	1	the	the	DET
ejpam-4249	47	2	triple	triple	ADJ
ejpam-4249	47	3	(	(	PUNCT
ejpam-4249	47	4	x	x	NOUN
ejpam-4249	47	5	,	,	PUNCT
ejpam-4249	47	6	κ	κ	NOUN
ejpam-4249	47	7	,	,	PUNCT
ejpam-4249	47	8	e	e	NOUN
ejpam-4249	47	9	)	)	PUNCT
ejpam-4249	47	10	is	be	AUX
ejpam-4249	47	11	referred	refer	VERB
ejpam-4249	47	12	to	to	ADP
ejpam-4249	47	13	as	as	ADP
ejpam-4249	47	14	a	a	DET
ejpam-4249	47	15	soft	soft	ADJ
ejpam-4249	47	16	cotopological	cotopological	ADJ
ejpam-4249	47	17	space	space	NOUN
ejpam-4249	47	18	,	,	PUNCT
ejpam-4249	47	19	and	and	CCONJ
ejpam-4249	47	20	the	the	DET
ejpam-4249	47	21	members	member	NOUN
ejpam-4249	47	22	of	of	ADP
ejpam-4249	47	23	κ	κ	PROPN
ejpam-4249	47	24	are	be	AUX
ejpam-4249	47	25	referred	refer	VERB
ejpam-4249	47	26	to	to	ADP
ejpam-4249	47	27	as	as	ADP
ejpam-4249	47	28	soft	soft	ADJ
ejpam-4249	47	29	closed	closed	ADJ
ejpam-4249	47	30	sets	set	NOUN
ejpam-4249	47	31	.	.	PUNCT
ejpam-4249	48	1	definition	definition	NOUN
ejpam-4249	48	2	5	5	NUM
ejpam-4249	48	3	.	.	PUNCT
ejpam-4249	49	1	a	a	DET
ejpam-4249	49	2	soft	soft	ADJ
ejpam-4249	49	3	set(f	set(f	NOUN
ejpam-4249	49	4	,	,	PUNCT
ejpam-4249	49	5	e	e	NOUN
ejpam-4249	49	6	)	)	PUNCT
ejpam-4249	49	7	of	of	ADP
ejpam-4249	49	8	a	a	DET
ejpam-4249	49	9	soft	soft	ADJ
ejpam-4249	49	10	topological	topological	ADJ
ejpam-4249	49	11	space(x	space(x	PROPN
ejpam-4249	49	12	,	,	PUNCT
ejpam-4249	49	13	τ	τ	PROPN
ejpam-4249	49	14	,	,	PUNCT
ejpam-4249	49	15	e	e	NOUN
ejpam-4249	49	16	)	)	PUNCT
ejpam-4249	49	17	is	be	AUX
ejpam-4249	49	18	said	say	VERB
ejpam-4249	49	19	to	to	PART
ejpam-4249	49	20	be	be	AUX
ejpam-4249	49	21	:	:	PUNCT
ejpam-4249	49	22	(	(	PUNCT
ejpam-4249	49	23	1	1	X
ejpam-4249	49	24	)	)	PUNCT
ejpam-4249	49	25	soft	soft	ADJ
ejpam-4249	49	26	β	β	X
ejpam-4249	49	27	open	open	NOUN
ejpam-4249	50	1	[	[	X
ejpam-4249	50	2	17	17	NUM
ejpam-4249	50	3	]	]	X
ejpam-4249	50	4	if	if	SCONJ
ejpam-4249	50	5	(	(	PUNCT
ejpam-4249	50	6	f	f	X
ejpam-4249	50	7	,	,	PUNCT
ejpam-4249	50	8	a	a	DET
ejpam-4249	50	9	)	)	PUNCT
ejpam-4249	50	10	⊆̃	⊆̃	PROPN
ejpam-4249	50	11	cl(int(cl(f	cl(int(cl(f	NOUN
ejpam-4249	50	12	,	,	PUNCT
ejpam-4249	50	13	a	a	PRON
ejpam-4249	50	14	)	)	PUNCT
ejpam-4249	50	15	)	)	PUNCT
ejpam-4249	50	16	)	)	PUNCT
ejpam-4249	50	17	.	.	PUNCT
ejpam-4249	51	1	r.	r.	PROPN
ejpam-4249	51	2	abu	abu	PROPN
ejpam-4249	51	3	-	-	PUNCT
ejpam-4249	51	4	gdairi	gdairi	PROPN
ejpam-4249	51	5	,	,	PUNCT
ejpam-4249	51	6	a.	a.	PROPN
ejpam-4249	51	7	a.	a.	PROPN
ejpam-4249	51	8	azzam	azzam	PROPN
ejpam-4249	51	9	,	,	PUNCT
ejpam-4249	51	10	i.	i.	PROPN
ejpam-4249	51	11	noaman	noaman	PROPN
ejpam-4249	51	12	/	/	SYM
ejpam-4249	51	13	eur	eur	PROPN
ejpam-4249	51	14	.	.	PUNCT
ejpam-4249	52	1	j.	j.	PROPN
ejpam-4249	52	2	pure	pure	PROPN
ejpam-4249	52	3	appl	appl	PROPN
ejpam-4249	52	4	.	.	PROPN
ejpam-4249	52	5	math	math	PROPN
ejpam-4249	52	6	,	,	PUNCT
ejpam-4249	52	7	15	15	NUM
ejpam-4249	52	8	(	(	PUNCT
ejpam-4249	52	9	1	1	NUM
ejpam-4249	52	10	)	)	PUNCT
ejpam-4249	52	11	(	(	PUNCT
ejpam-4249	52	12	2022	2022	NUM
ejpam-4249	52	13	)	)	PUNCT
ejpam-4249	52	14	,	,	PUNCT
ejpam-4249	52	15	126	126	NUM
ejpam-4249	52	16	-	-	SYM
ejpam-4249	52	17	134	134	NUM
ejpam-4249	52	18	128	128	NUM
ejpam-4249	52	19	(	(	PUNCT
ejpam-4249	52	20	2	2	NUM
ejpam-4249	52	21	)	)	PUNCT
ejpam-4249	52	22	soft	soft	ADJ
ejpam-4249	52	23	preopen	preopen	NOUN
ejpam-4249	52	24	[	[	X
ejpam-4249	52	25	17	17	NUM
ejpam-4249	52	26	]	]	PUNCT
ejpam-4249	52	27	if	if	SCONJ
ejpam-4249	52	28	(	(	PUNCT
ejpam-4249	52	29	f	f	X
ejpam-4249	52	30	,	,	PUNCT
ejpam-4249	52	31	a	a	PRON
ejpam-4249	52	32	)	)	PUNCT
ejpam-4249	52	33	⊆̃	⊆̃	PROPN
ejpam-4249	52	34	int(cl(f	int(cl(f	PROPN
ejpam-4249	52	35	,	,	PUNCT
ejpam-4249	52	36	a	a	PRON
ejpam-4249	52	37	)	)	PUNCT
ejpam-4249	52	38	)	)	PUNCT
ejpam-4249	52	39	.	.	PUNCT
ejpam-4249	53	1	(	(	PUNCT
ejpam-4249	53	2	3	3	X
ejpam-4249	53	3	)	)	PUNCT
ejpam-4249	53	4	soft	soft	ADJ
ejpam-4249	53	5	α	α	NOUN
ejpam-4249	53	6	open	open	ADJ
ejpam-4249	54	1	[	[	X
ejpam-4249	54	2	20	20	NUM
ejpam-4249	54	3	]	]	X
ejpam-4249	54	4	if	if	SCONJ
ejpam-4249	54	5	(	(	PUNCT
ejpam-4249	54	6	f	f	X
ejpam-4249	54	7	,	,	PUNCT
ejpam-4249	54	8	a	a	PRON
ejpam-4249	54	9	)	)	PUNCT
ejpam-4249	54	10	⊆̃	⊆̃	PROPN
ejpam-4249	54	11	int(cl(intl(f	int(cl(intl(f	PROPN
ejpam-4249	54	12	,	,	PUNCT
ejpam-4249	54	13	a	a	PRON
ejpam-4249	54	14	)	)	PUNCT
ejpam-4249	54	15	)	)	PUNCT
ejpam-4249	54	16	)	)	PUNCT
ejpam-4249	54	17	.	.	PUNCT
ejpam-4249	55	1	(	(	PUNCT
ejpam-4249	55	2	4	4	X
ejpam-4249	55	3	)	)	PUNCT
ejpam-4249	55	4	soft	soft	ADJ
ejpam-4249	55	5	semiopen	semiopen	ADJ
ejpam-4249	56	1	[	[	X
ejpam-4249	56	2	10	10	NUM
ejpam-4249	56	3	]	]	X
ejpam-4249	56	4	if	if	SCONJ
ejpam-4249	56	5	(	(	PUNCT
ejpam-4249	56	6	f	f	X
ejpam-4249	56	7	,	,	PUNCT
ejpam-4249	56	8	a	a	PRON
ejpam-4249	56	9	)	)	PUNCT
ejpam-4249	56	10	⊆̃	⊆̃	NOUN
ejpam-4249	56	11	cl(int(f	cl(int(f	NOUN
ejpam-4249	56	12	,	,	PUNCT
ejpam-4249	56	13	a	a	PRON
ejpam-4249	56	14	)	)	PUNCT
ejpam-4249	56	15	)	)	PUNCT
ejpam-4249	56	16	.	.	PUNCT
ejpam-4249	57	1	(	(	PUNCT
ejpam-4249	57	2	5	5	X
ejpam-4249	57	3	)	)	PUNCT
ejpam-4249	57	4	soft	soft	ADJ
ejpam-4249	57	5	open	open	ADJ
ejpam-4249	58	1	[	[	X
ejpam-4249	58	2	20	20	NUM
ejpam-4249	58	3	]	]	PUNCT
ejpam-4249	58	4	if	if	SCONJ
ejpam-4249	58	5	its	its	PRON
ejpam-4249	58	6	complement	complement	NOUN
ejpam-4249	58	7	is	be	AUX
ejpam-4249	58	8	soft	soft	ADJ
ejpam-4249	58	9	closed	closed	ADJ
ejpam-4249	58	10	.	.	PUNCT
ejpam-4249	59	1	definition	definition	NOUN
ejpam-4249	59	2	6	6	NUM
ejpam-4249	59	3	.	.	PUNCT
ejpam-4249	60	1	[	[	X
ejpam-4249	60	2	1	1	X
ejpam-4249	60	3	]	]	PUNCT
ejpam-4249	60	4	a	a	DET
ejpam-4249	60	5	function	function	NOUN
ejpam-4249	60	6	f	f	NOUN
ejpam-4249	60	7	:	:	PUNCT
ejpam-4249	60	8	(	(	PUNCT
ejpam-4249	60	9	x	x	X
ejpam-4249	60	10	,	,	PUNCT
ejpam-4249	60	11	τ	τ	X
ejpam-4249	60	12	)	)	PUNCT
ejpam-4249	60	13	→	→	SYM
ejpam-4249	60	14	(	(	PUNCT
ejpam-4249	60	15	y	y	PROPN
ejpam-4249	60	16	,	,	PUNCT
ejpam-4249	60	17	σ	σ	PROPN
ejpam-4249	60	18	)	)	PUNCT
ejpam-4249	60	19	is	be	AUX
ejpam-4249	60	20	said	say	VERB
ejpam-4249	60	21	to	to	PART
ejpam-4249	60	22	be	be	AUX
ejpam-4249	60	23	β	β	NOUN
ejpam-4249	60	24	irresolute	irresolute	ADJ
ejpam-4249	60	25	if	if	SCONJ
ejpam-4249	60	26	the	the	DET
ejpam-4249	60	27	preimages	preimage	NOUN
ejpam-4249	60	28	of	of	ADP
ejpam-4249	60	29	β	β	X
ejpam-4249	60	30	open	open	ADJ
ejpam-4249	60	31	sets	set	NOUN
ejpam-4249	60	32	are	be	AUX
ejpam-4249	60	33	β	β	NOUN
ejpam-4249	60	34	open	open	ADJ
ejpam-4249	60	35	.	.	PUNCT
ejpam-4249	61	1	2	2	X
ejpam-4249	61	2	.	.	X
ejpam-4249	61	3	soft	soft	ADJ
ejpam-4249	61	4	β	β	NOUN
ejpam-4249	61	5	open	open	ADJ
ejpam-4249	61	6	and	and	CCONJ
ejpam-4249	61	7	soft	soft	ADJ
ejpam-4249	61	8	β	β	X
ejpam-4249	61	9	closed	close	VERB
ejpam-4249	61	10	sets	set	NOUN
ejpam-4249	61	11	definition	definition	NOUN
ejpam-4249	61	12	7	7	NUM
ejpam-4249	61	13	.	.	PUNCT
ejpam-4249	62	1	let	let	VERB
ejpam-4249	62	2	u	u	PRON
ejpam-4249	62	3	be	be	AUX
ejpam-4249	62	4	a	a	DET
ejpam-4249	62	5	universel	universel	NOUN
ejpam-4249	62	6	set	set	NOUN
ejpam-4249	62	7	and	and	CCONJ
ejpam-4249	62	8	e	e	NOUN
ejpam-4249	62	9	be	be	AUX
ejpam-4249	62	10	the	the	DET
ejpam-4249	62	11	parameters	parameter	NOUN
ejpam-4249	62	12	.	.	PUNCT
ejpam-4249	63	1	a	a	DET
ejpam-4249	63	2	family	family	NOUN
ejpam-4249	63	3	(	(	PUNCT
ejpam-4249	63	4	τ	τ	PROPN
ejpam-4249	63	5	,	,	PUNCT
ejpam-4249	63	6	κ	κ	NOUN
ejpam-4249	63	7	)	)	PUNCT
ejpam-4249	63	8	of	of	ADP
ejpam-4249	63	9	a	a	DET
ejpam-4249	63	10	subsets	subset	NOUN
ejpam-4249	63	11	of	of	ADP
ejpam-4249	63	12	ũe	ũe	PROPN
ejpam-4249	63	13	is	be	AUX
ejpam-4249	63	14	called	call	VERB
ejpam-4249	63	15	a	a	DET
ejpam-4249	63	16	soft	soft	ADJ
ejpam-4249	63	17	ditopology	ditopology	NOUN
ejpam-4249	63	18	on	on	ADP
ejpam-4249	63	19	a	a	DET
ejpam-4249	63	20	soft	soft	ADJ
ejpam-4249	63	21	subspace	subspace	NOUN
ejpam-4249	63	22	ũe	ũe	PROPN
ejpam-4249	63	23	,	,	PUNCT
ejpam-4249	63	24	where	where	SCONJ
ejpam-4249	63	25	τ	τ	PROPN
ejpam-4249	63	26	is	be	AUX
ejpam-4249	63	27	a	a	DET
ejpam-4249	63	28	soft	soft	ADJ
ejpam-4249	63	29	topology	topology	NOUN
ejpam-4249	63	30	,	,	PUNCT
ejpam-4249	63	31	κ	κ	PROPN
ejpam-4249	63	32	is	be	AUX
ejpam-4249	63	33	a	a	DET
ejpam-4249	63	34	soft	soft	ADJ
ejpam-4249	63	35	cotopology	cotopology	NOUN
ejpam-4249	63	36	and	and	CCONJ
ejpam-4249	63	37	the	the	DET
ejpam-4249	63	38	space	space	NOUN
ejpam-4249	63	39	(	(	PUNCT
ejpam-4249	63	40	ũe	ũe	PROPN
ejpam-4249	63	41	,	,	PUNCT
ejpam-4249	63	42	τ	τ	PROPN
ejpam-4249	63	43	,	,	PUNCT
ejpam-4249	63	44	κ	κ	NOUN
ejpam-4249	63	45	)	)	PUNCT
ejpam-4249	63	46	is	be	AUX
ejpam-4249	63	47	called	call	VERB
ejpam-4249	63	48	soft	soft	ADJ
ejpam-4249	63	49	ditopological	ditopological	ADJ
ejpam-4249	63	50	space	space	NOUN
ejpam-4249	63	51	.	.	PUNCT
ejpam-4249	64	1	if	if	SCONJ
ejpam-4249	64	2	we	we	PRON
ejpam-4249	64	3	take	take	VERB
ejpam-4249	64	4	(	(	PUNCT
ejpam-4249	64	5	τ	τ	PROPN
ejpam-4249	64	6	,	,	PUNCT
ejpam-4249	64	7	κ	κ	NOUN
ejpam-4249	64	8	)	)	PUNCT
ejpam-4249	64	9	=	=	SYM
ejpam-4249	64	10	ω	ω	PROPN
ejpam-4249	64	11	,	,	PUNCT
ejpam-4249	64	12	then	then	ADV
ejpam-4249	64	13	(	(	PUNCT
ejpam-4249	64	14	ũe	ũe	PROPN
ejpam-4249	64	15	,	,	PUNCT
ejpam-4249	64	16	ω	ω	NOUN
ejpam-4249	64	17	)	)	PUNCT
ejpam-4249	64	18	is	be	AUX
ejpam-4249	64	19	said	say	VERB
ejpam-4249	64	20	to	to	PART
ejpam-4249	64	21	be	be	AUX
ejpam-4249	64	22	soft	soft	ADJ
ejpam-4249	64	23	ditopological	ditopological	ADJ
ejpam-4249	64	24	space	space	NOUN
ejpam-4249	64	25	.	.	PUNCT
ejpam-4249	65	1	definition	definition	NOUN
ejpam-4249	65	2	8	8	NUM
ejpam-4249	65	3	.	.	PUNCT
ejpam-4249	66	1	let	let	AUX
ejpam-4249	66	2	(	(	PUNCT
ejpam-4249	66	3	ũe	ũe	X
ejpam-4249	66	4	,	,	PUNCT
ejpam-4249	66	5	τ	τ	PROPN
ejpam-4249	66	6	,	,	PUNCT
ejpam-4249	66	7	κ	κ	NOUN
ejpam-4249	66	8	)	)	PUNCT
ejpam-4249	66	9	be	be	VERB
ejpam-4249	66	10	a	a	DET
ejpam-4249	66	11	soft	soft	ADJ
ejpam-4249	66	12	ditopological	ditopological	ADJ
ejpam-4249	66	13	space	space	NOUN
ejpam-4249	66	14	over	over	ADP
ejpam-4249	66	15	ũe	ũe	ADP
ejpam-4249	66	16	and	and	CCONJ
ejpam-4249	66	17	f	f	PROPN
ejpam-4249	66	18	be	be	AUX
ejpam-4249	66	19	a	a	DET
ejpam-4249	66	20	soft	soft	ADJ
ejpam-4249	66	21	set	set	NOUN
ejpam-4249	66	22	over	over	ADP
ejpam-4249	66	23	ũe	ũe	ADP
ejpam-4249	67	1	such	such	ADJ
ejpam-4249	67	2	that	that	DET
ejpam-4249	67	3	f	f	PROPN
ejpam-4249	68	1	=	=	PRON
ejpam-4249	69	1	{	{	PUNCT
ejpam-4249	70	1	(	(	PUNCT
ejpam-4249	70	2	e	e	NOUN
ejpam-4249	70	3	,	,	PUNCT
ejpam-4249	70	4	a	a	PRON
ejpam-4249	70	5	)	)	PUNCT
ejpam-4249	70	6	:	:	PUNCT
ejpam-4249	71	1	e	e	X
ejpam-4249	71	2	∈	∈	PROPN
ejpam-4249	71	3	e	e	NOUN
ejpam-4249	71	4	,	,	PUNCT
ejpam-4249	71	5	a	a	PRON
ejpam-4249	71	6	∈	∈	PROPN
ejpam-4249	71	7	p	p	X
ejpam-4249	71	8	(	(	PUNCT
ejpam-4249	71	9	u	u	NOUN
ejpam-4249	71	10	)	)	PUNCT
ejpam-4249	71	11	and	and	CCONJ
ejpam-4249	71	12	(	(	PUNCT
ejpam-4249	71	13	e	e	NOUN
ejpam-4249	71	14	,	,	PUNCT
ejpam-4249	71	15	a	a	PRON
ejpam-4249	71	16	)	)	PUNCT
ejpam-4249	71	17	=	=	SYM
ejpam-4249	71	18	f	f	NOUN
ejpam-4249	71	19	:	:	PUNCT
ejpam-4249	71	20	e	e	X
ejpam-4249	71	21	→	→	SYM
ejpam-4249	71	22	p	p	X
ejpam-4249	71	23	(	(	PUNCT
ejpam-4249	71	24	u	u	NOUN
ejpam-4249	71	25	)	)	PUNCT
ejpam-4249	71	26	}	}	PUNCT
ejpam-4249	71	27	.	.	PUNCT
ejpam-4249	72	1	definition	definition	NOUN
ejpam-4249	72	2	9	9	NUM
ejpam-4249	72	3	.	.	PUNCT
ejpam-4249	73	1	let	let	VERB
ejpam-4249	73	2	ũe	ũe	ADP
ejpam-4249	73	3	∈	∈	PROPN
ejpam-4249	73	4	s.	s.	PROPN
ejpam-4249	73	5	the	the	DET
ejpam-4249	73	6	power	power	NOUN
ejpam-4249	73	7	soft	soft	ADJ
ejpam-4249	73	8	set	set	NOUN
ejpam-4249	73	9	of	of	ADP
ejpam-4249	73	10	ũe	ũe	PROPN
ejpam-4249	73	11	is	be	AUX
ejpam-4249	73	12	defined	define	VERB
ejpam-4249	73	13	by	by	ADP
ejpam-4249	73	14	p	p	X
ejpam-4249	73	15	(	(	PUNCT
ejpam-4249	73	16	ũe	ũe	PROPN
ejpam-4249	73	17	)	)	PUNCT
ejpam-4249	73	18	=	=	PRON
ejpam-4249	73	19	{	{	PUNCT
ejpam-4249	73	20	fi⊆̃ũe	fi⊆̃ũe	NOUN
ejpam-4249	73	21	:	:	PUNCT
ejpam-4249	73	22	i	i	PRON
ejpam-4249	73	23	∈	∈	VERB
ejpam-4249	74	1	i	i	X
ejpam-4249	74	2	}	}	PUNCT
ejpam-4249	74	3	and	and	CCONJ
ejpam-4249	74	4	its	its	PRON
ejpam-4249	74	5	cardinality	cardinality	NOUN
ejpam-4249	74	6	is	be	AUX
ejpam-4249	74	7	defined	define	VERB
ejpam-4249	74	8	by	by	ADP
ejpam-4249	74	9	|p	|p	PROPN
ejpam-4249	74	10	(	(	PUNCT
ejpam-4249	74	11	ũe)|	ũe)|	NOUN
ejpam-4249	74	12	=	=	NOUN
ejpam-4249	74	13	2	2	NUM
ejpam-4249	74	14	∑	∑	ADP
ejpam-4249	74	15	e∈e	e∈e	NOUN
ejpam-4249	74	16	|ũe(e)|	|ũe(e)|	NOUN
ejpam-4249	74	17	where	where	SCONJ
ejpam-4249	74	18	|ũe(e)|	|ũe(e)|	NOUN
ejpam-4249	74	19	is	be	AUX
ejpam-4249	74	20	the	the	DET
ejpam-4249	74	21	cardinality	cardinality	NOUN
ejpam-4249	74	22	ũe(e	ũe(e	PROPN
ejpam-4249	74	23	)	)	PUNCT
ejpam-4249	74	24	example	example	NOUN
ejpam-4249	75	1	1	1	NUM
ejpam-4249	75	2	.	.	PUNCT
ejpam-4249	75	3	let	let	VERB
ejpam-4249	75	4	u	u	PRON
ejpam-4249	75	5	=	=	NOUN
ejpam-4249	75	6	{	{	PUNCT
ejpam-4249	75	7	u1	u1	NOUN
ejpam-4249	75	8	,	,	PUNCT
ejpam-4249	75	9	u2	u2	PROPN
ejpam-4249	75	10	}	}	PUNCT
ejpam-4249	75	11	,	,	PUNCT
ejpam-4249	75	12	e	e	X
ejpam-4249	75	13	=	=	PRON
ejpam-4249	75	14	{	{	PUNCT
ejpam-4249	75	15	e1	e1	PROPN
ejpam-4249	75	16	,	,	PUNCT
ejpam-4249	75	17	e2	e2	PROPN
ejpam-4249	75	18	}	}	PUNCT
ejpam-4249	75	19	and	and	CCONJ
ejpam-4249	75	20	ũe	ũe	ADP
ejpam-4249	75	21	=	=	PUNCT
ejpam-4249	75	22	{	{	PUNCT
ejpam-4249	75	23	(	(	PUNCT
ejpam-4249	75	24	e1	e1	NOUN
ejpam-4249	75	25	,	,	PUNCT
ejpam-4249	75	26	{	{	PUNCT
ejpam-4249	75	27	u1	u1	NOUN
ejpam-4249	75	28	,	,	PUNCT
ejpam-4249	75	29	u2	u2	NOUN
ejpam-4249	75	30	}	}	PUNCT
ejpam-4249	75	31	)	)	PUNCT
ejpam-4249	75	32	,	,	PUNCT
ejpam-4249	75	33	(	(	PUNCT
ejpam-4249	75	34	e2	e2	PROPN
ejpam-4249	75	35	,	,	PUNCT
ejpam-4249	75	36	{	{	PUNCT
ejpam-4249	75	37	u1	u1	NOUN
ejpam-4249	75	38	,	,	PUNCT
ejpam-4249	75	39	u2	u2	NOUN
ejpam-4249	75	40	}	}	PUNCT
ejpam-4249	75	41	)	)	PUNCT
ejpam-4249	75	42	}	}	PUNCT
ejpam-4249	75	43	then	then	ADV
ejpam-4249	75	44	the	the	DET
ejpam-4249	75	45	soft	soft	ADJ
ejpam-4249	75	46	sets	set	NOUN
ejpam-4249	75	47	are	be	AUX
ejpam-4249	75	48	:	:	PUNCT
ejpam-4249	75	49	f1	f1	NOUN
ejpam-4249	75	50	=	=	SYM
ejpam-4249	75	51	{	{	PUNCT
ejpam-4249	75	52	(	(	PUNCT
ejpam-4249	75	53	e1	e1	NOUN
ejpam-4249	75	54	,	,	PUNCT
ejpam-4249	75	55	{	{	PUNCT
ejpam-4249	75	56	u1	u1	NOUN
ejpam-4249	75	57	}	}	PUNCT
ejpam-4249	75	58	)	)	PUNCT
ejpam-4249	75	59	}	}	PUNCT
ejpam-4249	75	60	,	,	PUNCT
ejpam-4249	75	61	f2	f2	PROPN
ejpam-4249	75	62	=	=	SYM
ejpam-4249	75	63	{	{	PUNCT
ejpam-4249	75	64	(	(	PUNCT
ejpam-4249	75	65	e1	e1	NOUN
ejpam-4249	75	66	,	,	PUNCT
ejpam-4249	75	67	{	{	PUNCT
ejpam-4249	75	68	u2	u2	NOUN
ejpam-4249	75	69	}	}	PUNCT
ejpam-4249	75	70	)	)	PUNCT
ejpam-4249	75	71	}	}	PUNCT
ejpam-4249	75	72	,	,	PUNCT
ejpam-4249	75	73	f3	f3	PROPN
ejpam-4249	75	74	=	=	SYM
ejpam-4249	75	75	{	{	PUNCT
ejpam-4249	75	76	(	(	PUNCT
ejpam-4249	75	77	e1	e1	NOUN
ejpam-4249	75	78	,	,	PUNCT
ejpam-4249	75	79	{	{	PUNCT
ejpam-4249	75	80	u1	u1	NOUN
ejpam-4249	75	81	,	,	PUNCT
ejpam-4249	75	82	u2	u2	NOUN
ejpam-4249	75	83	}	}	PUNCT
ejpam-4249	75	84	)	)	PUNCT
ejpam-4249	75	85	}	}	PUNCT
ejpam-4249	75	86	,	,	PUNCT
ejpam-4249	75	87	f4	f4	NOUN
ejpam-4249	75	88	=	=	SYM
ejpam-4249	75	89	{	{	PUNCT
ejpam-4249	75	90	(	(	PUNCT
ejpam-4249	75	91	e2	e2	PROPN
ejpam-4249	75	92	,	,	PUNCT
ejpam-4249	75	93	{	{	PUNCT
ejpam-4249	75	94	u1	u1	NOUN
ejpam-4249	75	95	}	}	PUNCT
ejpam-4249	75	96	)	)	PUNCT
ejpam-4249	75	97	}	}	PUNCT
ejpam-4249	75	98	,	,	PUNCT
ejpam-4249	75	99	f5	f5	PROPN
ejpam-4249	75	100	=	=	SYM
ejpam-4249	75	101	{	{	PUNCT
ejpam-4249	75	102	(	(	PUNCT
ejpam-4249	75	103	e2	e2	PROPN
ejpam-4249	75	104	,	,	PUNCT
ejpam-4249	75	105	{	{	PUNCT
ejpam-4249	75	106	u2	u2	NOUN
ejpam-4249	75	107	}	}	PUNCT
ejpam-4249	75	108	)	)	PUNCT
ejpam-4249	75	109	}	}	PUNCT
ejpam-4249	75	110	,	,	PUNCT
ejpam-4249	75	111	f6	f6	PROPN
ejpam-4249	75	112	=	=	PUNCT
ejpam-4249	75	113	{	{	PUNCT
ejpam-4249	75	114	(	(	PUNCT
ejpam-4249	75	115	e2	e2	PROPN
ejpam-4249	75	116	,	,	PUNCT
ejpam-4249	75	117	{	{	PUNCT
ejpam-4249	75	118	u1	u1	NOUN
ejpam-4249	75	119	,	,	PUNCT
ejpam-4249	75	120	u2	u2	NOUN
ejpam-4249	75	121	}	}	PUNCT
ejpam-4249	75	122	)	)	PUNCT
ejpam-4249	75	123	}	}	PUNCT
ejpam-4249	75	124	,	,	PUNCT
ejpam-4249	75	125	f7	f7	PROPN
ejpam-4249	75	126	=	=	PRON
ejpam-4249	75	127	{	{	PUNCT
ejpam-4249	75	128	(	(	PUNCT
ejpam-4249	75	129	e1	e1	NOUN
ejpam-4249	75	130	,	,	PUNCT
ejpam-4249	75	131	{	{	PUNCT
ejpam-4249	75	132	u1	u1	NOUN
ejpam-4249	75	133	}	}	PUNCT
ejpam-4249	75	134	)	)	PUNCT
ejpam-4249	75	135	,	,	PUNCT
ejpam-4249	75	136	(	(	PUNCT
ejpam-4249	75	137	e2	e2	PROPN
ejpam-4249	75	138	,	,	PUNCT
ejpam-4249	75	139	{	{	PUNCT
ejpam-4249	75	140	u1	u1	NOUN
ejpam-4249	75	141	}	}	PUNCT
ejpam-4249	75	142	)	)	PUNCT
ejpam-4249	75	143	}	}	PUNCT
ejpam-4249	75	144	,	,	PUNCT
ejpam-4249	75	145	f8	f8	PROPN
ejpam-4249	75	146	=	=	SYM
ejpam-4249	75	147	{	{	PUNCT
ejpam-4249	75	148	(	(	PUNCT
ejpam-4249	75	149	e1	e1	NOUN
ejpam-4249	75	150	,	,	PUNCT
ejpam-4249	75	151	{	{	PUNCT
ejpam-4249	75	152	u1	u1	NOUN
ejpam-4249	75	153	}	}	PUNCT
ejpam-4249	75	154	)	)	PUNCT
ejpam-4249	75	155	,	,	PUNCT
ejpam-4249	75	156	(	(	PUNCT
ejpam-4249	75	157	e2	e2	PROPN
ejpam-4249	75	158	,	,	PUNCT
ejpam-4249	75	159	{	{	PUNCT
ejpam-4249	75	160	u2	u2	NOUN
ejpam-4249	75	161	}	}	PUNCT
ejpam-4249	75	162	)	)	PUNCT
ejpam-4249	75	163	}	}	PUNCT
ejpam-4249	75	164	,	,	PUNCT
ejpam-4249	75	165	f9	f9	PROPN
ejpam-4249	75	166	=	=	SYM
ejpam-4249	75	167	{	{	PUNCT
ejpam-4249	75	168	(	(	PUNCT
ejpam-4249	75	169	e1	e1	NOUN
ejpam-4249	75	170	,	,	PUNCT
ejpam-4249	75	171	{	{	PUNCT
ejpam-4249	75	172	u2	u2	NOUN
ejpam-4249	75	173	}	}	PUNCT
ejpam-4249	75	174	)	)	PUNCT
ejpam-4249	75	175	,	,	PUNCT
ejpam-4249	75	176	(	(	PUNCT
ejpam-4249	75	177	e2	e2	PROPN
ejpam-4249	75	178	,	,	PUNCT
ejpam-4249	75	179	{	{	PUNCT
ejpam-4249	75	180	u1	u1	NOUN
ejpam-4249	75	181	}	}	PUNCT
ejpam-4249	75	182	)	)	PUNCT
ejpam-4249	75	183	}	}	PUNCT
ejpam-4249	75	184	,	,	PUNCT
ejpam-4249	75	185	f10	f10	NOUN
ejpam-4249	75	186	=	=	SYM
ejpam-4249	75	187	{	{	PUNCT
ejpam-4249	75	188	(	(	PUNCT
ejpam-4249	75	189	e1	e1	NOUN
ejpam-4249	75	190	,	,	PUNCT
ejpam-4249	75	191	{	{	PUNCT
ejpam-4249	75	192	u2	u2	NOUN
ejpam-4249	75	193	}	}	PUNCT
ejpam-4249	75	194	)	)	PUNCT
ejpam-4249	75	195	,	,	PUNCT
ejpam-4249	75	196	(	(	PUNCT
ejpam-4249	75	197	e2	e2	PROPN
ejpam-4249	75	198	,	,	PUNCT
ejpam-4249	75	199	{	{	PUNCT
ejpam-4249	75	200	u2	u2	NOUN
ejpam-4249	75	201	}	}	PUNCT
ejpam-4249	75	202	)	)	PUNCT
ejpam-4249	75	203	}	}	PUNCT
ejpam-4249	75	204	,	,	PUNCT
ejpam-4249	75	205	f11	f11	PROPN
ejpam-4249	75	206	=	=	SYM
ejpam-4249	75	207	{	{	PUNCT
ejpam-4249	75	208	(	(	PUNCT
ejpam-4249	75	209	e1	e1	NOUN
ejpam-4249	75	210	,	,	PUNCT
ejpam-4249	75	211	{	{	PUNCT
ejpam-4249	75	212	u1	u1	NOUN
ejpam-4249	75	213	}	}	PUNCT
ejpam-4249	75	214	)	)	PUNCT
ejpam-4249	75	215	,	,	PUNCT
ejpam-4249	75	216	(	(	PUNCT
ejpam-4249	75	217	e2	e2	PROPN
ejpam-4249	75	218	,	,	PUNCT
ejpam-4249	75	219	{	{	PUNCT
ejpam-4249	75	220	u1	u1	NOUN
ejpam-4249	75	221	,	,	PUNCT
ejpam-4249	75	222	u2	u2	NOUN
ejpam-4249	75	223	}	}	PUNCT
ejpam-4249	75	224	)	)	PUNCT
ejpam-4249	75	225	}	}	PUNCT
ejpam-4249	75	226	,	,	PUNCT
ejpam-4249	75	227	f12	f12	NOUN
ejpam-4249	75	228	=	=	SYM
ejpam-4249	75	229	{	{	PUNCT
ejpam-4249	75	230	(	(	PUNCT
ejpam-4249	75	231	e1	e1	NOUN
ejpam-4249	75	232	,	,	PUNCT
ejpam-4249	75	233	{	{	PUNCT
ejpam-4249	75	234	u2	u2	NOUN
ejpam-4249	75	235	}	}	PUNCT
ejpam-4249	75	236	)	)	PUNCT
ejpam-4249	75	237	,	,	PUNCT
ejpam-4249	75	238	(	(	PUNCT
ejpam-4249	75	239	e2	e2	PROPN
ejpam-4249	75	240	,	,	PUNCT
ejpam-4249	75	241	{	{	PUNCT
ejpam-4249	75	242	u1	u1	NOUN
ejpam-4249	75	243	,	,	PUNCT
ejpam-4249	75	244	u2	u2	NOUN
ejpam-4249	75	245	}	}	PUNCT
ejpam-4249	75	246	)	)	PUNCT
ejpam-4249	75	247	}	}	PUNCT
ejpam-4249	75	248	,	,	PUNCT
ejpam-4249	75	249	f13	f13	X
ejpam-4249	75	250	=	=	SYM
ejpam-4249	75	251	{	{	PUNCT
ejpam-4249	75	252	(	(	PUNCT
ejpam-4249	75	253	e1	e1	NOUN
ejpam-4249	75	254	,	,	PUNCT
ejpam-4249	75	255	{	{	PUNCT
ejpam-4249	75	256	u1	u1	NOUN
ejpam-4249	75	257	,	,	PUNCT
ejpam-4249	75	258	u2	u2	NOUN
ejpam-4249	75	259	}	}	PUNCT
ejpam-4249	75	260	)	)	PUNCT
ejpam-4249	75	261	,	,	PUNCT
ejpam-4249	75	262	(	(	PUNCT
ejpam-4249	75	263	e2	e2	PROPN
ejpam-4249	75	264	,	,	PUNCT
ejpam-4249	75	265	{	{	PUNCT
ejpam-4249	75	266	u1	u1	NOUN
ejpam-4249	75	267	}	}	PUNCT
ejpam-4249	75	268	)	)	PUNCT
ejpam-4249	75	269	}	}	PUNCT
ejpam-4249	75	270	,	,	PUNCT
ejpam-4249	75	271	f14	f14	PROPN
ejpam-4249	75	272	=	=	SYM
ejpam-4249	75	273	{	{	PUNCT
ejpam-4249	75	274	(	(	PUNCT
ejpam-4249	75	275	e1	e1	NOUN
ejpam-4249	75	276	,	,	PUNCT
ejpam-4249	75	277	{	{	PUNCT
ejpam-4249	75	278	u1	u1	NOUN
ejpam-4249	75	279	,	,	PUNCT
ejpam-4249	75	280	u2	u2	NOUN
ejpam-4249	75	281	}	}	PUNCT
ejpam-4249	75	282	)	)	PUNCT
ejpam-4249	75	283	,	,	PUNCT
ejpam-4249	75	284	(	(	PUNCT
ejpam-4249	75	285	e2	e2	PROPN
ejpam-4249	75	286	,	,	PUNCT
ejpam-4249	75	287	{	{	PUNCT
ejpam-4249	75	288	u2	u2	NOUN
ejpam-4249	75	289	}	}	PUNCT
ejpam-4249	75	290	)	)	PUNCT
ejpam-4249	75	291	}	}	PUNCT
ejpam-4249	75	292	,	,	PUNCT
ejpam-4249	75	293	f15	f15	PROPN
ejpam-4249	75	294	=	=	SYM
ejpam-4249	75	295	ũe	ũe	PROPN
ejpam-4249	75	296	,	,	PUNCT
ejpam-4249	75	297	f16	f16	PROPN
ejpam-4249	75	298	=	=	SYM
ejpam-4249	75	299	φ	φ	PROPN
ejpam-4249	75	300	.	.	PUNCT
ejpam-4249	76	1	and	and	CCONJ
ejpam-4249	76	2	we	we	PRON
ejpam-4249	76	3	get	get	VERB
ejpam-4249	76	4	the	the	DET
ejpam-4249	76	5	complement	complement	NOUN
ejpam-4249	76	6	the	the	DET
ejpam-4249	76	7	soft	soft	ADJ
ejpam-4249	76	8	sets	set	NOUN
ejpam-4249	76	9	are	be	AUX
ejpam-4249	76	10	:	:	PUNCT
ejpam-4249	76	11	f	f	PROPN
ejpam-4249	76	12	c1	c1	PROPN
ejpam-4249	76	13	=	=	SYM
ejpam-4249	76	14	{	{	PUNCT
ejpam-4249	76	15	(	(	PUNCT
ejpam-4249	76	16	e1	e1	PROPN
ejpam-4249	76	17	,	,	PUNCT
ejpam-4249	76	18	{	{	PUNCT
ejpam-4249	76	19	u2	u2	NOUN
ejpam-4249	76	20	}	}	PUNCT
ejpam-4249	76	21	)	)	PUNCT
ejpam-4249	76	22	}	}	PUNCT
ejpam-4249	76	23	,	,	PUNCT
ejpam-4249	76	24	f	f	PROPN
ejpam-4249	76	25	c2	c2	PROPN
ejpam-4249	76	26	=	=	SYM
ejpam-4249	76	27	{	{	PUNCT
ejpam-4249	76	28	(	(	PUNCT
ejpam-4249	76	29	e1	e1	NOUN
ejpam-4249	76	30	,	,	PUNCT
ejpam-4249	76	31	{	{	PUNCT
ejpam-4249	76	32	u1	u1	NOUN
ejpam-4249	76	33	}	}	PUNCT
ejpam-4249	76	34	)	)	PUNCT
ejpam-4249	76	35	}	}	PUNCT
ejpam-4249	76	36	,	,	PUNCT
ejpam-4249	76	37	f	f	PROPN
ejpam-4249	76	38	c3	c3	PROPN
ejpam-4249	76	39	=	=	SYM
ejpam-4249	76	40	{	{	PUNCT
ejpam-4249	76	41	(	(	PUNCT
ejpam-4249	76	42	e1,φ	e1,φ	PROPN
ejpam-4249	76	43	)	)	PUNCT
ejpam-4249	76	44	}	}	PUNCT
ejpam-4249	76	45	,	,	PUNCT
ejpam-4249	76	46	f	f	PROPN
ejpam-4249	76	47	c4	c4	NOUN
ejpam-4249	76	48	=	=	SYM
ejpam-4249	76	49	{	{	PUNCT
ejpam-4249	76	50	(	(	PUNCT
ejpam-4249	76	51	e2	e2	PROPN
ejpam-4249	76	52	,	,	PUNCT
ejpam-4249	76	53	{	{	PUNCT
ejpam-4249	76	54	u2	u2	NOUN
ejpam-4249	76	55	}	}	PUNCT
ejpam-4249	76	56	)	)	PUNCT
ejpam-4249	76	57	}	}	PUNCT
ejpam-4249	76	58	,	,	PUNCT
ejpam-4249	76	59	f	f	PROPN
ejpam-4249	76	60	c5	c5	PROPN
ejpam-4249	76	61	=	=	PROPN
ejpam-4249	76	62	{	{	PUNCT
ejpam-4249	76	63	(	(	PUNCT
ejpam-4249	76	64	e2	e2	PROPN
ejpam-4249	76	65	,	,	PUNCT
ejpam-4249	76	66	{	{	PUNCT
ejpam-4249	76	67	u1	u1	NOUN
ejpam-4249	76	68	}	}	PUNCT
ejpam-4249	76	69	)	)	PUNCT
ejpam-4249	76	70	}	}	PUNCT
ejpam-4249	76	71	,	,	PUNCT
ejpam-4249	76	72	f	f	PROPN
ejpam-4249	76	73	c6	c6	PROPN
ejpam-4249	76	74	=	=	PUNCT
ejpam-4249	76	75	{	{	PUNCT
ejpam-4249	76	76	(	(	PUNCT
ejpam-4249	76	77	e2,φ	e2,φ	PROPN
ejpam-4249	76	78	)	)	PUNCT
ejpam-4249	76	79	}	}	PUNCT
ejpam-4249	76	80	,	,	PUNCT
ejpam-4249	76	81	f	f	PROPN
ejpam-4249	76	82	c7	c7	PROPN
ejpam-4249	76	83	=	=	SYM
ejpam-4249	76	84	{	{	PUNCT
ejpam-4249	76	85	(	(	PUNCT
ejpam-4249	76	86	e1	e1	NOUN
ejpam-4249	76	87	,	,	PUNCT
ejpam-4249	76	88	{	{	PUNCT
ejpam-4249	76	89	u2	u2	NOUN
ejpam-4249	76	90	}	}	PUNCT
ejpam-4249	76	91	)	)	PUNCT
ejpam-4249	76	92	,	,	PUNCT
ejpam-4249	76	93	(	(	PUNCT
ejpam-4249	76	94	e2	e2	PROPN
ejpam-4249	76	95	,	,	PUNCT
ejpam-4249	76	96	{	{	PUNCT
ejpam-4249	76	97	u2	u2	NOUN
ejpam-4249	76	98	}	}	PUNCT
ejpam-4249	76	99	)	)	PUNCT
ejpam-4249	76	100	}	}	PUNCT
ejpam-4249	76	101	,	,	PUNCT
ejpam-4249	76	102	f	f	PROPN
ejpam-4249	76	103	c8	c8	PROPN
ejpam-4249	76	104	=	=	PRON
ejpam-4249	76	105	{	{	PUNCT
ejpam-4249	76	106	(	(	PUNCT
ejpam-4249	76	107	e1	e1	NOUN
ejpam-4249	76	108	,	,	PUNCT
ejpam-4249	76	109	{	{	PUNCT
ejpam-4249	76	110	u2	u2	NOUN
ejpam-4249	76	111	}	}	PUNCT
ejpam-4249	76	112	)	)	PUNCT
ejpam-4249	76	113	,	,	PUNCT
ejpam-4249	76	114	(	(	PUNCT
ejpam-4249	76	115	e2	e2	PROPN
ejpam-4249	76	116	,	,	PUNCT
ejpam-4249	76	117	{	{	PUNCT
ejpam-4249	76	118	u1	u1	NOUN
ejpam-4249	76	119	}	}	PUNCT
ejpam-4249	76	120	)	)	PUNCT
ejpam-4249	76	121	}	}	PUNCT
ejpam-4249	76	122	,	,	PUNCT
ejpam-4249	76	123	f	f	PROPN
ejpam-4249	76	124	c9	c9	NOUN
ejpam-4249	76	125	=	=	SYM
ejpam-4249	76	126	{	{	PUNCT
ejpam-4249	76	127	(	(	PUNCT
ejpam-4249	76	128	e1	e1	NOUN
ejpam-4249	76	129	,	,	PUNCT
ejpam-4249	76	130	{	{	PUNCT
ejpam-4249	76	131	u1	u1	NOUN
ejpam-4249	76	132	}	}	PUNCT
ejpam-4249	76	133	)	)	PUNCT
ejpam-4249	76	134	,	,	PUNCT
ejpam-4249	76	135	(	(	PUNCT
ejpam-4249	76	136	e2	e2	PROPN
ejpam-4249	76	137	,	,	PUNCT
ejpam-4249	76	138	{	{	PUNCT
ejpam-4249	76	139	u2	u2	NOUN
ejpam-4249	76	140	}	}	PUNCT
ejpam-4249	76	141	)	)	PUNCT
ejpam-4249	76	142	}	}	PUNCT
ejpam-4249	76	143	,	,	PUNCT
ejpam-4249	76	144	f	f	PROPN
ejpam-4249	76	145	c10	c10	PROPN
ejpam-4249	76	146	=	=	SYM
ejpam-4249	76	147	{	{	PUNCT
ejpam-4249	76	148	(	(	PUNCT
ejpam-4249	76	149	e1	e1	NOUN
ejpam-4249	76	150	,	,	PUNCT
ejpam-4249	76	151	{	{	PUNCT
ejpam-4249	76	152	u1	u1	NOUN
ejpam-4249	76	153	}	}	PUNCT
ejpam-4249	76	154	)	)	PUNCT
ejpam-4249	76	155	,	,	PUNCT
ejpam-4249	76	156	(	(	PUNCT
ejpam-4249	76	157	e2	e2	PROPN
ejpam-4249	76	158	,	,	PUNCT
ejpam-4249	76	159	{	{	PUNCT
ejpam-4249	76	160	u1	u1	NOUN
ejpam-4249	76	161	}	}	PUNCT
ejpam-4249	76	162	)	)	PUNCT
ejpam-4249	76	163	}	}	PUNCT
ejpam-4249	76	164	,	,	PUNCT
ejpam-4249	76	165	f	f	PROPN
ejpam-4249	76	166	c11	c11	NOUN
ejpam-4249	76	167	=	=	SYM
ejpam-4249	76	168	{	{	PUNCT
ejpam-4249	76	169	(	(	PUNCT
ejpam-4249	76	170	e1	e1	NOUN
ejpam-4249	76	171	,	,	PUNCT
ejpam-4249	76	172	{	{	PUNCT
ejpam-4249	76	173	u2	u2	NOUN
ejpam-4249	76	174	}	}	PUNCT
ejpam-4249	76	175	)	)	PUNCT
ejpam-4249	76	176	,	,	PUNCT
ejpam-4249	76	177	(	(	PUNCT
ejpam-4249	76	178	e2,φ	e2,φ	NOUN
ejpam-4249	76	179	)	)	PUNCT
ejpam-4249	76	180	}	}	PUNCT
ejpam-4249	76	181	,	,	PUNCT
ejpam-4249	76	182	f	f	PROPN
ejpam-4249	76	183	c12	c12	PROPN
ejpam-4249	76	184	=	=	SYM
ejpam-4249	76	185	{	{	PUNCT
ejpam-4249	76	186	(	(	PUNCT
ejpam-4249	76	187	e1	e1	NOUN
ejpam-4249	76	188	,	,	PUNCT
ejpam-4249	76	189	{	{	PUNCT
ejpam-4249	76	190	u1	u1	NOUN
ejpam-4249	76	191	}	}	PUNCT
ejpam-4249	76	192	)	)	PUNCT
ejpam-4249	76	193	,	,	PUNCT
ejpam-4249	76	194	(	(	PUNCT
ejpam-4249	76	195	e2,φ	e2,φ	NOUN
ejpam-4249	76	196	)	)	PUNCT
ejpam-4249	76	197	}	}	PUNCT
ejpam-4249	76	198	,	,	PUNCT
ejpam-4249	76	199	f	f	PROPN
ejpam-4249	76	200	c13	c13	PROPN
ejpam-4249	76	201	=	=	SYM
ejpam-4249	76	202	{	{	PUNCT
ejpam-4249	76	203	(	(	PUNCT
ejpam-4249	76	204	e1,φ	e1,φ	PROPN
ejpam-4249	76	205	)	)	PUNCT
ejpam-4249	76	206	,	,	PUNCT
ejpam-4249	76	207	(	(	PUNCT
ejpam-4249	76	208	e2	e2	PROPN
ejpam-4249	76	209	,	,	PUNCT
ejpam-4249	76	210	{	{	PUNCT
ejpam-4249	76	211	u2	u2	NOUN
ejpam-4249	76	212	}	}	PUNCT
ejpam-4249	76	213	)	)	PUNCT
ejpam-4249	76	214	}	}	PUNCT
ejpam-4249	76	215	,	,	PUNCT
ejpam-4249	76	216	f	f	PROPN
ejpam-4249	76	217	c14	c14	PROPN
ejpam-4249	76	218	=	=	PRON
ejpam-4249	76	219	{	{	PUNCT
ejpam-4249	76	220	(	(	PUNCT
ejpam-4249	76	221	e1,φ	e1,φ	PROPN
ejpam-4249	76	222	)	)	PUNCT
ejpam-4249	76	223	,	,	PUNCT
ejpam-4249	76	224	(	(	PUNCT
ejpam-4249	76	225	e2	e2	PROPN
ejpam-4249	76	226	,	,	PUNCT
ejpam-4249	76	227	{	{	PUNCT
ejpam-4249	76	228	u2	u2	NOUN
ejpam-4249	76	229	}	}	PUNCT
ejpam-4249	76	230	)	)	PUNCT
ejpam-4249	76	231	}	}	PUNCT
ejpam-4249	76	232	,	,	PUNCT
ejpam-4249	76	233	f	f	PROPN
ejpam-4249	76	234	c15	c15	PROPN
ejpam-4249	76	235	=	=	SYM
ejpam-4249	76	236	φ	φ	PROPN
ejpam-4249	76	237	,	,	PUNCT
ejpam-4249	76	238	f	f	PROPN
ejpam-4249	76	239	c16	c16	PROPN
ejpam-4249	76	240	=	=	SYM
ejpam-4249	76	241	ũe	ũe	PROPN
ejpam-4249	76	242	.	.	PUNCT
ejpam-4249	76	243	also	also	ADV
ejpam-4249	76	244	we	we	PRON
ejpam-4249	76	245	get	get	VERB
ejpam-4249	76	246	a	a	DET
ejpam-4249	76	247	soft	soft	ADJ
ejpam-4249	76	248	ditopological	ditopological	ADJ
ejpam-4249	76	249	space	space	NOUN
ejpam-4249	76	250	(	(	PUNCT
ejpam-4249	76	251	τ	τ	PROPN
ejpam-4249	76	252	,	,	PUNCT
ejpam-4249	76	253	κ	κ	NOUN
ejpam-4249	76	254	)	)	PUNCT
ejpam-4249	76	255	=	=	SYM
ejpam-4249	76	256	{	{	PUNCT
ejpam-4249	76	257	φ	φ	NOUN
ejpam-4249	76	258	,	,	PUNCT
ejpam-4249	76	259	ũe	ũe	INTJ
ejpam-4249	76	260	,	,	PUNCT
ejpam-4249	76	261	{	{	PUNCT
ejpam-4249	76	262	(	(	PUNCT
ejpam-4249	76	263	e1	e1	NOUN
ejpam-4249	76	264	,	,	PUNCT
ejpam-4249	76	265	{	{	PUNCT
ejpam-4249	76	266	u2	u2	NOUN
ejpam-4249	76	267	}	}	PUNCT
ejpam-4249	76	268	)	)	PUNCT
ejpam-4249	76	269	}	}	PUNCT
ejpam-4249	76	270	,	,	PUNCT
ejpam-4249	76	271	{	{	PUNCT
ejpam-4249	76	272	(	(	PUNCT
ejpam-4249	76	273	e1	e1	NOUN
ejpam-4249	76	274	,	,	PUNCT
ejpam-4249	76	275	{	{	PUNCT
ejpam-4249	76	276	u1	u1	NOUN
ejpam-4249	76	277	}	}	PUNCT
ejpam-4249	76	278	)	)	PUNCT
ejpam-4249	76	279	}	}	PUNCT
ejpam-4249	76	280	}	}	PUNCT
ejpam-4249	76	281	on	on	ADP
ejpam-4249	76	282	ũe	ũe	ADP
ejpam-4249	76	283	,	,	PUNCT
ejpam-4249	76	284	such	such	ADJ
ejpam-4249	76	285	that	that	SCONJ
ejpam-4249	76	286	τ	τ	PROPN
ejpam-4249	76	287	=	=	X
ejpam-4249	76	288	{	{	PUNCT
ejpam-4249	76	289	ũe	ũe	PROPN
ejpam-4249	76	290	,	,	PUNCT
ejpam-4249	76	291	φ	φ	PROPN
ejpam-4249	76	292	,	,	PUNCT
ejpam-4249	76	293	{	{	PUNCT
ejpam-4249	76	294	(	(	PUNCT
ejpam-4249	76	295	e1	e1	NOUN
ejpam-4249	76	296	,	,	PUNCT
ejpam-4249	76	297	{	{	PUNCT
ejpam-4249	76	298	u2	u2	NOUN
ejpam-4249	76	299	}	}	PUNCT
ejpam-4249	76	300	)	)	PUNCT
ejpam-4249	76	301	}	}	PUNCT
ejpam-4249	76	302	}	}	PUNCT
ejpam-4249	76	303	and	and	CCONJ
ejpam-4249	76	304	κ	κ	X
ejpam-4249	76	305	=	=	SYM
ejpam-4249	76	306	{	{	PUNCT
ejpam-4249	76	307	φ	φ	PROPN
ejpam-4249	76	308	,	,	PUNCT
ejpam-4249	76	309	ũe	ũe	INTJ
ejpam-4249	76	310	,	,	PUNCT
ejpam-4249	76	311	{	{	PUNCT
ejpam-4249	76	312	(	(	PUNCT
ejpam-4249	76	313	e1	e1	NOUN
ejpam-4249	76	314	,	,	PUNCT
ejpam-4249	76	315	{	{	PUNCT
ejpam-4249	76	316	u1	u1	NOUN
ejpam-4249	76	317	}	}	PUNCT
ejpam-4249	76	318	)	)	PUNCT
ejpam-4249	76	319	}	}	PUNCT
ejpam-4249	76	320	.	.	PUNCT
ejpam-4249	77	1	definition	definition	NOUN
ejpam-4249	77	2	10	10	NUM
ejpam-4249	77	3	.	.	PUNCT
ejpam-4249	78	1	a	a	DET
ejpam-4249	78	2	soft	soft	ADJ
ejpam-4249	78	3	β	β	X
ejpam-4249	78	4	interior	interior	NOUN
ejpam-4249	78	5	of	of	ADP
ejpam-4249	78	6	a	a	DET
ejpam-4249	78	7	soft	soft	ADJ
ejpam-4249	78	8	set	set	NOUN
ejpam-4249	78	9	f	f	NOUN
ejpam-4249	78	10	is	be	AUX
ejpam-4249	78	11	denoted	denote	VERB
ejpam-4249	78	12	by	by	ADP
ejpam-4249	78	13	sβ	sβ	NUM
ejpam-4249	78	14	int	int	NOUN
ejpam-4249	78	15	(	(	PUNCT
ejpam-4249	78	16	f	f	X
ejpam-4249	78	17	)	)	PUNCT
ejpam-4249	78	18	which	which	PRON
ejpam-4249	78	19	is	be	AUX
ejpam-4249	78	20	defined	define	VERB
ejpam-4249	78	21	by	by	ADP
ejpam-4249	78	22	.	.	PUNCT
ejpam-4249	79	1	sβ	sβ	PROPN
ejpam-4249	79	2	int	int	NOUN
ejpam-4249	79	3	(	(	PUNCT
ejpam-4249	79	4	f	f	X
ejpam-4249	79	5	)	)	PUNCT
ejpam-4249	79	6	=	=	SYM
ejpam-4249	80	1	∪̃{h	∪̃{h	PROPN
ejpam-4249	80	2	:	:	PUNCT
ejpam-4249	80	3	h	h	NOUN
ejpam-4249	80	4	is	be	AUX
ejpam-4249	80	5	a	a	DET
ejpam-4249	80	6	soft	soft	ADJ
ejpam-4249	80	7	β	β	X
ejpam-4249	80	8	open	open	ADJ
ejpam-4249	80	9	and	and	CCONJ
ejpam-4249	80	10	h⊆̃f	h⊆̃f	NOUN
ejpam-4249	80	11	}	}	PUNCT
ejpam-4249	80	12	.	.	PUNCT
ejpam-4249	81	1	a	a	DET
ejpam-4249	81	2	soft	soft	ADJ
ejpam-4249	81	3	β	β	NOUN
ejpam-4249	81	4	closure	closure	NOUN
ejpam-4249	81	5	of	of	ADP
ejpam-4249	81	6	a	a	DET
ejpam-4249	81	7	soft	soft	ADJ
ejpam-4249	81	8	set	set	NOUN
ejpam-4249	81	9	f	f	NOUN
ejpam-4249	81	10	is	be	AUX
ejpam-4249	81	11	denoted	denote	VERB
ejpam-4249	81	12	by	by	ADP
ejpam-4249	81	13	sβ	sβ	NUM
ejpam-4249	81	14	cl	cl	NOUN
ejpam-4249	81	15	(	(	PUNCT
ejpam-4249	81	16	f	f	X
ejpam-4249	81	17	)	)	PUNCT
ejpam-4249	81	18	which	which	PRON
ejpam-4249	81	19	is	be	AUX
ejpam-4249	81	20	defined	define	VERB
ejpam-4249	81	21	by	by	ADP
ejpam-4249	81	22	.	.	PUNCT
ejpam-4249	82	1	sβ	sβ	NUM
ejpam-4249	82	2	cl	cl	INTJ
ejpam-4249	82	3	(	(	PUNCT
ejpam-4249	82	4	f	f	X
ejpam-4249	82	5	)	)	PUNCT
ejpam-4249	83	1	=	=	VERB
ejpam-4249	83	2	∩̃{k	∩̃{k	ADJ
ejpam-4249	83	3	:	:	PUNCT
ejpam-4249	83	4	k	k	X
ejpam-4249	83	5	is	be	AUX
ejpam-4249	83	6	a	a	DET
ejpam-4249	83	7	soft	soft	ADJ
ejpam-4249	83	8	β	β	NOUN
ejpam-4249	83	9	closed	close	VERB
ejpam-4249	83	10	and	and	CCONJ
ejpam-4249	83	11	f⊆̃k	f⊆̃k	NUM
ejpam-4249	83	12	}	}	PUNCT
ejpam-4249	83	13	.	.	PUNCT
ejpam-4249	84	1	definition	definition	NOUN
ejpam-4249	84	2	11	11	NUM
ejpam-4249	84	3	.	.	PUNCT
ejpam-4249	85	1	let	let	AUX
ejpam-4249	85	2	(	(	PUNCT
ejpam-4249	85	3	ũe	ũe	X
ejpam-4249	85	4	,	,	PUNCT
ejpam-4249	85	5	τ	τ	PROPN
ejpam-4249	85	6	,	,	PUNCT
ejpam-4249	85	7	κ	κ	NOUN
ejpam-4249	85	8	)	)	PUNCT
ejpam-4249	85	9	be	be	VERB
ejpam-4249	85	10	a	a	DET
ejpam-4249	85	11	soft	soft	ADJ
ejpam-4249	85	12	ditopological	ditopological	ADJ
ejpam-4249	85	13	space	space	NOUN
ejpam-4249	85	14	and	and	CCONJ
ejpam-4249	86	1	f	f	PROPN
ejpam-4249	86	2	∈	∈	PROPN
ejpam-4249	86	3	p	p	X
ejpam-4249	86	4	(	(	PUNCT
ejpam-4249	86	5	ũe	ũe	NOUN
ejpam-4249	86	6	)	)	PUNCT
ejpam-4249	86	7	then	then	ADV
ejpam-4249	86	8	:	:	PUNCT
ejpam-4249	86	9	(	(	PUNCT
ejpam-4249	86	10	1	1	X
ejpam-4249	86	11	)	)	PUNCT
ejpam-4249	86	12	f	f	PROPN
ejpam-4249	86	13	is	be	AUX
ejpam-4249	86	14	a	a	DET
ejpam-4249	86	15	soft	soft	ADJ
ejpam-4249	86	16	β	β	NOUN
ejpam-4249	86	17	open	open	ADJ
ejpam-4249	86	18	if	if	SCONJ
ejpam-4249	86	19	f⊆̃cl(int(cl(f	f⊆̃cl(int(cl(f	NOUN
ejpam-4249	86	20	)	)	PUNCT
ejpam-4249	86	21	)	)	PUNCT
ejpam-4249	86	22	)	)	PUNCT
ejpam-4249	86	23	.	.	PUNCT
ejpam-4249	87	1	r.	r.	PROPN
ejpam-4249	87	2	abu	abu	PROPN
ejpam-4249	87	3	-	-	PUNCT
ejpam-4249	87	4	gdairi	gdairi	PROPN
ejpam-4249	87	5	,	,	PUNCT
ejpam-4249	87	6	a.	a.	PROPN
ejpam-4249	87	7	a.	a.	PROPN
ejpam-4249	87	8	azzam	azzam	PROPN
ejpam-4249	87	9	,	,	PUNCT
ejpam-4249	87	10	i.	i.	PROPN
ejpam-4249	87	11	noaman	noaman	PROPN
ejpam-4249	87	12	/	/	SYM
ejpam-4249	87	13	eur	eur	PROPN
ejpam-4249	87	14	.	.	PUNCT
ejpam-4249	88	1	j.	j.	PROPN
ejpam-4249	88	2	pure	pure	PROPN
ejpam-4249	88	3	appl	appl	PROPN
ejpam-4249	88	4	.	.	PROPN
ejpam-4249	88	5	math	math	PROPN
ejpam-4249	88	6	,	,	PUNCT
ejpam-4249	88	7	15	15	NUM
ejpam-4249	88	8	(	(	PUNCT
ejpam-4249	88	9	1	1	NUM
ejpam-4249	88	10	)	)	PUNCT
ejpam-4249	88	11	(	(	PUNCT
ejpam-4249	88	12	2022	2022	NUM
ejpam-4249	88	13	)	)	PUNCT
ejpam-4249	88	14	,	,	PUNCT
ejpam-4249	88	15	126	126	NUM
ejpam-4249	88	16	-	-	SYM
ejpam-4249	88	17	134	134	NUM
ejpam-4249	88	18	129	129	NUM
ejpam-4249	88	19	(	(	PUNCT
ejpam-4249	88	20	2	2	NUM
ejpam-4249	88	21	)	)	PUNCT
ejpam-4249	88	22	f	f	PROPN
ejpam-4249	88	23	is	be	AUX
ejpam-4249	88	24	a	a	DET
ejpam-4249	88	25	soft	soft	ADJ
ejpam-4249	88	26	β	β	NOUN
ejpam-4249	88	27	closed	close	VERB
ejpam-4249	88	28	if	if	SCONJ
ejpam-4249	88	29	int(cl(int(f)))⊆̃f	int(cl(int(f)))⊆̃f	ADJ
ejpam-4249	88	30	.	.	PUNCT
ejpam-4249	89	1	(	(	PUNCT
ejpam-4249	89	2	3	3	X
ejpam-4249	89	3	)	)	PUNCT
ejpam-4249	89	4	f	f	PROPN
ejpam-4249	89	5	is	be	AUX
ejpam-4249	89	6	a	a	DET
ejpam-4249	89	7	soft	soft	ADJ
ejpam-4249	89	8	α	α	NOUN
ejpam-4249	89	9	open	open	ADJ
ejpam-4249	89	10	if	if	SCONJ
ejpam-4249	89	11	f⊆̃int(cl(int(f	f⊆̃int(cl(int(f	NOUN
ejpam-4249	89	12	)	)	PUNCT
ejpam-4249	89	13	)	)	PUNCT
ejpam-4249	89	14	)	)	PUNCT
ejpam-4249	89	15	.	.	PUNCT
ejpam-4249	90	1	(	(	PUNCT
ejpam-4249	90	2	4	4	X
ejpam-4249	90	3	)	)	PUNCT
ejpam-4249	90	4	f	f	PROPN
ejpam-4249	90	5	is	be	AUX
ejpam-4249	90	6	a	a	DET
ejpam-4249	90	7	soft	soft	ADJ
ejpam-4249	90	8	preopen	preopen	NOUN
ejpam-4249	90	9	if	if	SCONJ
ejpam-4249	90	10	f⊆̃int(cl(f	f⊆̃int(cl(f	PROPN
ejpam-4249	90	11	)	)	PUNCT
ejpam-4249	90	12	)	)	PUNCT
ejpam-4249	90	13	.	.	PUNCT
ejpam-4249	91	1	(	(	PUNCT
ejpam-4249	91	2	5	5	X
ejpam-4249	91	3	)	)	PUNCT
ejpam-4249	91	4	f	f	PROPN
ejpam-4249	91	5	is	be	AUX
ejpam-4249	91	6	a	a	DET
ejpam-4249	91	7	soft	soft	ADJ
ejpam-4249	91	8	preclosed	preclose	VERB
ejpam-4249	91	9	if	if	SCONJ
ejpam-4249	91	10	cl(int(f))⊆̃f	cl(int(f))⊆̃f	NOUN
ejpam-4249	91	11	.	.	PUNCT
ejpam-4249	92	1	(	(	PUNCT
ejpam-4249	92	2	6	6	X
ejpam-4249	92	3	)	)	PUNCT
ejpam-4249	92	4	f	f	PROPN
ejpam-4249	92	5	is	be	AUX
ejpam-4249	92	6	a	a	DET
ejpam-4249	92	7	soft	soft	ADJ
ejpam-4249	92	8	semi	semi	NOUN
ejpam-4249	92	9	open	open	ADJ
ejpam-4249	92	10	if	if	SCONJ
ejpam-4249	92	11	f⊆̃cl(int(f	f⊆̃cl(int(f	NOUN
ejpam-4249	92	12	)	)	PUNCT
ejpam-4249	92	13	)	)	PUNCT
ejpam-4249	92	14	.	.	PUNCT
ejpam-4249	93	1	(	(	PUNCT
ejpam-4249	93	2	7	7	X
ejpam-4249	93	3	)	)	PUNCT
ejpam-4249	93	4	f	f	PROPN
ejpam-4249	93	5	is	be	AUX
ejpam-4249	93	6	a	a	DET
ejpam-4249	93	7	soft	soft	ADJ
ejpam-4249	93	8	β	β	NOUN
ejpam-4249	93	9	open	open	ADJ
ejpam-4249	93	10	if	if	SCONJ
ejpam-4249	93	11	the	the	DET
ejpam-4249	93	12	complement	complement	NOUN
ejpam-4249	93	13	of	of	ADP
ejpam-4249	93	14	f	f	PROPN
ejpam-4249	93	15	is	be	AUX
ejpam-4249	93	16	a	a	DET
ejpam-4249	93	17	soft	soft	ADJ
ejpam-4249	93	18	β	β	NOUN
ejpam-4249	93	19	closed	close	VERB
ejpam-4249	93	20	.	.	PUNCT
ejpam-4249	94	1	remark	remark	NOUN
ejpam-4249	94	2	1	1	NUM
ejpam-4249	94	3	.	.	PUNCT
ejpam-4249	95	1	in	in	ADP
ejpam-4249	95	2	a	a	DET
ejpam-4249	95	3	soft	soft	ADJ
ejpam-4249	95	4	ditopological	ditopological	ADJ
ejpam-4249	95	5	space	space	NOUN
ejpam-4249	95	6	it	it	PRON
ejpam-4249	95	7	is	be	AUX
ejpam-4249	95	8	easy	easy	ADJ
ejpam-4249	95	9	to	to	PART
ejpam-4249	95	10	see	see	VERB
ejpam-4249	95	11	the	the	DET
ejpam-4249	95	12	set	set	NOUN
ejpam-4249	95	13	of	of	ADP
ejpam-4249	95	14	all	all	DET
ejpam-4249	95	15	soft	soft	ADJ
ejpam-4249	95	16	β	β	X
ejpam-4249	95	17	open	open	ADJ
ejpam-4249	95	18	contains	contain	VERB
ejpam-4249	95	19	each	each	PRON
ejpam-4249	95	20	of	of	ADP
ejpam-4249	95	21	a	a	DET
ejpam-4249	95	22	soft	soft	ADJ
ejpam-4249	95	23	semi	semi	ADJ
ejpam-4249	95	24	open	open	ADJ
ejpam-4249	95	25	,	,	PUNCT
ejpam-4249	95	26	soft	soft	ADJ
ejpam-4249	95	27	preopen	preopen	ADJ
ejpam-4249	95	28	and	and	CCONJ
ejpam-4249	95	29	soft	soft	ADJ
ejpam-4249	95	30	α	α	NOUN
ejpam-4249	95	31	open	open	ADJ
ejpam-4249	95	32	,	,	PUNCT
ejpam-4249	95	33	as	as	SCONJ
ejpam-4249	95	34	shown	show	VERB
ejpam-4249	95	35	in	in	ADP
ejpam-4249	95	36	the	the	DET
ejpam-4249	95	37	following	follow	VERB
ejpam-4249	95	38	diagram	diagram	NOUN
ejpam-4249	95	39	but	but	CCONJ
ejpam-4249	95	40	the	the	DET
ejpam-4249	95	41	converse	converse	NOUN
ejpam-4249	95	42	need	need	AUX
ejpam-4249	95	43	not	not	PART
ejpam-4249	95	44	be	be	AUX
ejpam-4249	95	45	true	true	ADJ
ejpam-4249	95	46	in	in	ADP
ejpam-4249	95	47	general	general	ADJ
ejpam-4249	95	48	as	as	ADP
ejpam-4249	95	49	example	example	NOUN
ejpam-4249	95	50	2	2	NUM
ejpam-4249	95	51	.	.	PUNCT
ejpam-4249	95	52	example	example	NOUN
ejpam-4249	96	1	2	2	NUM
ejpam-4249	96	2	.	.	X
ejpam-4249	97	1	let	let	AUX
ejpam-4249	97	2	(	(	PUNCT
ejpam-4249	97	3	ũe	ũe	X
ejpam-4249	97	4	,	,	PUNCT
ejpam-4249	97	5	τ	τ	PROPN
ejpam-4249	97	6	,	,	PUNCT
ejpam-4249	97	7	κ	κ	NOUN
ejpam-4249	97	8	)	)	PUNCT
ejpam-4249	97	9	be	be	VERB
ejpam-4249	97	10	a	a	DET
ejpam-4249	97	11	soft	soft	ADJ
ejpam-4249	97	12	ditopological	ditopological	ADJ
ejpam-4249	97	13	space	space	NOUN
ejpam-4249	97	14	,	,	PUNCT
ejpam-4249	97	15	u	u	NOUN
ejpam-4249	97	16	=	=	NOUN
ejpam-4249	97	17	{	{	PUNCT
ejpam-4249	97	18	u1	u1	NOUN
ejpam-4249	97	19	,	,	PUNCT
ejpam-4249	97	20	u2	u2	PROPN
ejpam-4249	97	21	}	}	PUNCT
ejpam-4249	97	22	,	,	PUNCT
ejpam-4249	98	1	e	e	X
ejpam-4249	98	2	=	=	PRON
ejpam-4249	98	3	{	{	PUNCT
ejpam-4249	98	4	e1	e1	PROPN
ejpam-4249	98	5	,	,	PUNCT
ejpam-4249	98	6	e2	e2	PROPN
ejpam-4249	98	7	}	}	PUNCT
ejpam-4249	98	8	such	such	ADJ
ejpam-4249	98	9	that	that	SCONJ
ejpam-4249	98	10	ũe	ũe	ADP
ejpam-4249	98	11	=	=	VERB
ejpam-4249	98	12	{	{	PUNCT
ejpam-4249	98	13	(	(	PUNCT
ejpam-4249	98	14	e1	e1	NOUN
ejpam-4249	98	15	,	,	PUNCT
ejpam-4249	98	16	{	{	PUNCT
ejpam-4249	98	17	u1	u1	NOUN
ejpam-4249	98	18	,	,	PUNCT
ejpam-4249	98	19	u2	u2	NOUN
ejpam-4249	98	20	}	}	PUNCT
ejpam-4249	98	21	)	)	PUNCT
ejpam-4249	98	22	,	,	PUNCT
ejpam-4249	98	23	(	(	PUNCT
ejpam-4249	98	24	e2	e2	PROPN
ejpam-4249	98	25	,	,	PUNCT
ejpam-4249	98	26	{	{	PUNCT
ejpam-4249	98	27	u1	u1	NOUN
ejpam-4249	98	28	,	,	PUNCT
ejpam-4249	98	29	u2	u2	NOUN
ejpam-4249	98	30	}	}	PUNCT
ejpam-4249	98	31	)	)	PUNCT
ejpam-4249	98	32	}	}	PUNCT
ejpam-4249	98	33	,	,	PUNCT
ejpam-4249	98	34	τ	τ	X
ejpam-4249	98	35	=	=	X
ejpam-4249	98	36	{	{	PUNCT
ejpam-4249	98	37	ũe	ũe	PROPN
ejpam-4249	98	38	,	,	PUNCT
ejpam-4249	98	39	φ	φ	PROPN
ejpam-4249	98	40	,	,	PUNCT
ejpam-4249	98	41	{	{	PUNCT
ejpam-4249	98	42	(	(	PUNCT
ejpam-4249	98	43	e1	e1	NOUN
ejpam-4249	98	44	,	,	PUNCT
ejpam-4249	98	45	{	{	PUNCT
ejpam-4249	98	46	u2	u2	NOUN
ejpam-4249	98	47	}	}	PUNCT
ejpam-4249	98	48	)	)	PUNCT
ejpam-4249	98	49	}	}	PUNCT
ejpam-4249	98	50	,	,	PUNCT
ejpam-4249	98	51	{	{	PUNCT
ejpam-4249	98	52	(	(	PUNCT
ejpam-4249	98	53	e2	e2	PROPN
ejpam-4249	98	54	,	,	PUNCT
ejpam-4249	98	55	{	{	PUNCT
ejpam-4249	98	56	u1	u1	NOUN
ejpam-4249	98	57	,	,	PUNCT
ejpam-4249	98	58	u2	u2	NOUN
ejpam-4249	98	59	}	}	PUNCT
ejpam-4249	98	60	)	)	PUNCT
ejpam-4249	98	61	}	}	PUNCT
ejpam-4249	98	62	,	,	PUNCT
ejpam-4249	98	63	{	{	PUNCT
ejpam-4249	98	64	(	(	PUNCT
ejpam-4249	98	65	e1	e1	NOUN
ejpam-4249	98	66	,	,	PUNCT
ejpam-4249	98	67	{	{	PUNCT
ejpam-4249	98	68	u1	u1	NOUN
ejpam-4249	98	69	,	,	PUNCT
ejpam-4249	98	70	u2	u2	NOUN
ejpam-4249	98	71	}	}	PUNCT
ejpam-4249	98	72	)	)	PUNCT
ejpam-4249	98	73	,	,	PUNCT
ejpam-4249	98	74	(	(	PUNCT
ejpam-4249	98	75	e2	e2	PROPN
ejpam-4249	98	76	,	,	PUNCT
ejpam-4249	98	77	{	{	PUNCT
ejpam-4249	98	78	u1	u1	NOUN
ejpam-4249	98	79	)	)	PUNCT
ejpam-4249	98	80	}	}	PUNCT
ejpam-4249	98	81	,	,	PUNCT
ejpam-4249	98	82	{	{	PUNCT
ejpam-4249	98	83	(	(	PUNCT
ejpam-4249	98	84	e1	e1	NOUN
ejpam-4249	98	85	,	,	PUNCT
ejpam-4249	98	86	{	{	PUNCT
ejpam-4249	98	87	u2	u2	NOUN
ejpam-4249	98	88	}	}	PUNCT
ejpam-4249	98	89	)	)	PUNCT
ejpam-4249	98	90	,	,	PUNCT
ejpam-4249	98	91	(	(	PUNCT
ejpam-4249	98	92	e2	e2	PROPN
ejpam-4249	98	93	,	,	PUNCT
ejpam-4249	98	94	{	{	PUNCT
ejpam-4249	98	95	u1	u1	NOUN
ejpam-4249	98	96	}	}	PUNCT
ejpam-4249	98	97	)	)	PUNCT
ejpam-4249	98	98	}	}	PUNCT
ejpam-4249	98	99	,	,	PUNCT
ejpam-4249	98	100	κ	κ	X
ejpam-4249	98	101	=	=	SYM
ejpam-4249	98	102	{	{	PUNCT
ejpam-4249	98	103	φ	φ	PROPN
ejpam-4249	98	104	,	,	PUNCT
ejpam-4249	98	105	ũe	ũe	INTJ
ejpam-4249	98	106	,	,	PUNCT
ejpam-4249	98	107	{	{	PUNCT
ejpam-4249	98	108	(	(	PUNCT
ejpam-4249	98	109	e1	e1	NOUN
ejpam-4249	98	110	,	,	PUNCT
ejpam-4249	98	111	{	{	PUNCT
ejpam-4249	98	112	u1	u1	NOUN
ejpam-4249	98	113	}	}	PUNCT
ejpam-4249	98	114	)	)	PUNCT
ejpam-4249	98	115	,	,	PUNCT
ejpam-4249	98	116	(	(	PUNCT
ejpam-4249	98	117	e2,φ	e2,φ	NOUN
ejpam-4249	98	118	)	)	PUNCT
ejpam-4249	98	119	}	}	PUNCT
ejpam-4249	98	120	,	,	PUNCT
ejpam-4249	98	121	{	{	PUNCT
ejpam-4249	98	122	(	(	PUNCT
ejpam-4249	98	123	e1,φ	e1,φ	PROPN
ejpam-4249	98	124	)	)	PUNCT
ejpam-4249	98	125	,	,	PUNCT
ejpam-4249	98	126	(	(	PUNCT
ejpam-4249	98	127	e2	e2	PROPN
ejpam-4249	98	128	,	,	PUNCT
ejpam-4249	98	129	{	{	PUNCT
ejpam-4249	98	130	u2	u2	NOUN
ejpam-4249	98	131	}	}	PUNCT
ejpam-4249	98	132	)	)	PUNCT
ejpam-4249	98	133	}	}	PUNCT
ejpam-4249	98	134	,	,	PUNCT
ejpam-4249	98	135	{	{	PUNCT
ejpam-4249	98	136	(	(	PUNCT
ejpam-4249	98	137	e1	e1	NOUN
ejpam-4249	98	138	,	,	PUNCT
ejpam-4249	98	139	{	{	PUNCT
ejpam-4249	98	140	u1	u1	NOUN
ejpam-4249	98	141	}	}	PUNCT
ejpam-4249	98	142	)	)	PUNCT
ejpam-4249	98	143	,	,	PUNCT
ejpam-4249	98	144	(	(	PUNCT
ejpam-4249	98	145	e2	e2	PROPN
ejpam-4249	98	146	,	,	PUNCT
ejpam-4249	98	147	{	{	PUNCT
ejpam-4249	98	148	u2	u2	NOUN
ejpam-4249	98	149	}	}	PUNCT
ejpam-4249	98	150	)	)	PUNCT
ejpam-4249	98	151	}	}	PUNCT
ejpam-4249	98	152	,	,	PUNCT
ejpam-4249	98	153	we	we	PRON
ejpam-4249	98	154	notice	notice	VERB
ejpam-4249	98	155	that	that	SCONJ
ejpam-4249	98	156	the	the	DET
ejpam-4249	98	157	soft	soft	ADJ
ejpam-4249	98	158	set	set	NOUN
ejpam-4249	98	159	{	{	PUNCT
ejpam-4249	98	160	(	(	PUNCT
ejpam-4249	98	161	e1,φ	e1,φ	PROPN
ejpam-4249	98	162	)	)	PUNCT
ejpam-4249	98	163	,	,	PUNCT
ejpam-4249	98	164	(	(	PUNCT
ejpam-4249	98	165	e2	e2	PROPN
ejpam-4249	98	166	,	,	PUNCT
ejpam-4249	98	167	{	{	PUNCT
ejpam-4249	98	168	u1	u1	NOUN
ejpam-4249	98	169	}	}	PUNCT
ejpam-4249	98	170	)	)	PUNCT
ejpam-4249	98	171	}	}	PUNCT
ejpam-4249	98	172	in	in	ADP
ejpam-4249	98	173	soft	soft	ADJ
ejpam-4249	98	174	ditopological	ditopological	ADJ
ejpam-4249	98	175	space	space	NOUN
ejpam-4249	98	176	is	be	AUX
ejpam-4249	98	177	soft	soft	ADJ
ejpam-4249	98	178	preopen	preopen	ADJ
ejpam-4249	98	179	set	set	NOUN
ejpam-4249	98	180	and	and	CCONJ
ejpam-4249	98	181	not	not	PART
ejpam-4249	98	182	soft	soft	ADJ
ejpam-4249	98	183	α	α	DET
ejpam-4249	98	184	open	open	ADJ
ejpam-4249	98	185	set	set	NOUN
ejpam-4249	98	186	.	.	PUNCT
ejpam-4249	99	1	also	also	ADV
ejpam-4249	99	2	it	it	PRON
ejpam-4249	99	3	is	be	AUX
ejpam-4249	99	4	soft	soft	ADJ
ejpam-4249	99	5	β	β	NOUN
ejpam-4249	99	6	open	open	ADJ
ejpam-4249	99	7	and	and	CCONJ
ejpam-4249	99	8	not	not	PART
ejpam-4249	99	9	soft	soft	ADJ
ejpam-4249	99	10	semi	semi	ADJ
ejpam-4249	99	11	open	open	ADJ
ejpam-4249	99	12	set	set	NOUN
ejpam-4249	99	13	.	.	PUNCT
ejpam-4249	100	1	theorem	theorem	NOUN
ejpam-4249	100	2	1	1	NUM
ejpam-4249	100	3	.	.	PUNCT
ejpam-4249	101	1	if	if	SCONJ
ejpam-4249	101	2	h	h	NOUN
ejpam-4249	101	3	is	be	AUX
ejpam-4249	101	4	a	a	DET
ejpam-4249	101	5	soft	soft	ADJ
ejpam-4249	101	6	closed	closed	ADJ
ejpam-4249	101	7	and	and	CCONJ
ejpam-4249	101	8	f	f	PROPN
ejpam-4249	101	9	is	be	AUX
ejpam-4249	101	10	a	a	DET
ejpam-4249	101	11	soft	soft	ADJ
ejpam-4249	101	12	β	β	NOUN
ejpam-4249	101	13	open	open	ADJ
ejpam-4249	101	14	then	then	ADV
ejpam-4249	101	15	f	f	PROPN
ejpam-4249	101	16	∪̃	∪̃	PROPN
ejpam-4249	101	17	h	h	PROPN
ejpam-4249	101	18	is	be	AUX
ejpam-4249	101	19	a	a	DET
ejpam-4249	101	20	soft	soft	ADJ
ejpam-4249	101	21	β	β	NOUN
ejpam-4249	101	22	open	open	ADJ
ejpam-4249	101	23	.	.	PUNCT
ejpam-4249	102	1	proof	proof	NOUN
ejpam-4249	102	2	:	:	PUNCT
ejpam-4249	102	3	since	since	SCONJ
ejpam-4249	102	4	f	f	PROPN
ejpam-4249	102	5	⊆̃	⊆̃	PROPN
ejpam-4249	102	6	cl(int(cl(f	cl(int(cl(f	NOUN
ejpam-4249	102	7	)	)	PUNCT
ejpam-4249	102	8	)	)	PUNCT
ejpam-4249	102	9	)	)	PUNCT
ejpam-4249	102	10	,	,	PUNCT
ejpam-4249	102	11	(	(	PUNCT
ejpam-4249	102	12	h	h	NOUN
ejpam-4249	102	13	∪̃	∪̃	PROPN
ejpam-4249	102	14	f	f	X
ejpam-4249	102	15	)	)	PUNCT
ejpam-4249	102	16	⊆̃	⊆̃	PROPN
ejpam-4249	102	17	h	h	PROPN
ejpam-4249	102	18	∪̃	∪̃	PROPN
ejpam-4249	102	19	cl(int(cl(f	cl(int(cl(f	PROPN
ejpam-4249	102	20	)	)	PUNCT
ejpam-4249	102	21	)	)	PUNCT
ejpam-4249	102	22	)	)	PUNCT
ejpam-4249	103	1	=	=	SYM
ejpam-4249	103	2	cl(int(cl(h	cl(int(cl(h	NOUN
ejpam-4249	103	3	)	)	PUNCT
ejpam-4249	103	4	)	)	PUNCT
ejpam-4249	103	5	)	)	PUNCT
ejpam-4249	103	6	∪̃	∪̃	PROPN
ejpam-4249	103	7	cl(int(cl(f	cl(int(cl(f	NOUN
ejpam-4249	103	8	)	)	PUNCT
ejpam-4249	103	9	)	)	PUNCT
ejpam-4249	103	10	)	)	PUNCT
ejpam-4249	103	11	⊆̃	⊆̃	NOUN
ejpam-4249	103	12	cl(int(cl((h)∪̃	cl(int(cl((h)∪̃	NOUN
ejpam-4249	103	13	(	(	PUNCT
ejpam-4249	103	14	f	f	NOUN
ejpam-4249	103	15	)	)	PUNCT
ejpam-4249	103	16	)	)	PUNCT
ejpam-4249	103	17	)	)	PUNCT
ejpam-4249	103	18	)	)	PUNCT
ejpam-4249	103	19	.	.	PUNCT
ejpam-4249	104	1	this	this	PRON
ejpam-4249	104	2	show	show	VERB
ejpam-4249	104	3	that	that	SCONJ
ejpam-4249	104	4	f	f	PROPN
ejpam-4249	104	5	∪̃	∪̃	PROPN
ejpam-4249	104	6	h	h	PROPN
ejpam-4249	104	7	is	be	AUX
ejpam-4249	104	8	soft	soft	ADJ
ejpam-4249	104	9	β	β	NOUN
ejpam-4249	104	10	open	open	ADJ
ejpam-4249	104	11	.	.	PUNCT
ejpam-4249	105	1	the	the	DET
ejpam-4249	105	2	class	class	NOUN
ejpam-4249	105	3	of	of	ADP
ejpam-4249	105	4	all	all	DET
ejpam-4249	105	5	soft	soft	ADJ
ejpam-4249	105	6	β	β	PRON
ejpam-4249	105	7	open	open	ADJ
ejpam-4249	105	8	(	(	PUNCT
ejpam-4249	105	9	resp	resp	NOUN
ejpam-4249	105	10	.	.	PUNCT
ejpam-4249	106	1	soft	soft	ADJ
ejpam-4249	106	2	β	β	X
ejpam-4249	106	3	closed	closed	ADJ
ejpam-4249	106	4	,	,	PUNCT
ejpam-4249	106	5	soft	soft	ADJ
ejpam-4249	106	6	preopen	preopen	ADJ
ejpam-4249	106	7	,	,	PUNCT
ejpam-4249	106	8	soft	soft	ADJ
ejpam-4249	106	9	semi	semi	ADJ
ejpam-4249	106	10	open	open	ADJ
ejpam-4249	106	11	,	,	PUNCT
ejpam-4249	106	12	soft	soft	ADJ
ejpam-4249	106	13	α	α	NOUN
ejpam-4249	106	14	open	open	ADJ
ejpam-4249	106	15	,	,	PUNCT
ejpam-4249	106	16	soft	soft	ADJ
ejpam-4249	106	17	α	α	NOUN
ejpam-4249	106	18	closed	closed	ADJ
ejpam-4249	106	19	and	and	CCONJ
ejpam-4249	106	20	soft	soft	ADJ
ejpam-4249	106	21	preclosed	preclose	VERB
ejpam-4249	106	22	)	)	PUNCT
ejpam-4249	106	23	in	in	ADP
ejpam-4249	106	24	ditopological	ditopological	ADJ
ejpam-4249	106	25	spaces	space	NOUN
ejpam-4249	106	26	(	(	PUNCT
ejpam-4249	106	27	ũe	ũe	INTJ
ejpam-4249	106	28	,	,	PUNCT
ejpam-4249	106	29	τ	τ	PROPN
ejpam-4249	106	30	,	,	PUNCT
ejpam-4249	106	31	κ	κ	NOUN
ejpam-4249	106	32	)	)	PUNCT
ejpam-4249	106	33	denoted	denote	VERB
ejpam-4249	106	34	by	by	ADP
ejpam-4249	106	35	sβo	sβo	ADJ
ejpam-4249	106	36	(	(	PUNCT
ejpam-4249	106	37	resp	resp	NOUN
ejpam-4249	106	38	.	.	PUNCT
ejpam-4249	107	1	sβc	sβc	PROPN
ejpam-4249	107	2	,	,	PUNCT
ejpam-4249	107	3	spo	spo	PROPN
ejpam-4249	107	4	,	,	PUNCT
ejpam-4249	107	5	sso	sso	PROPN
ejpam-4249	107	6	,	,	PUNCT
ejpam-4249	107	7	sαo	sαo	PROPN
ejpam-4249	107	8	,	,	PUNCT
ejpam-4249	107	9	sαc	sαc	NOUN
ejpam-4249	107	10	and	and	CCONJ
ejpam-4249	107	11	spc	spc	PROPN
ejpam-4249	107	12	)	)	PUNCT
ejpam-4249	107	13	.	.	PUNCT
ejpam-4249	108	1	theorem	theorem	NOUN
ejpam-4249	108	2	2	2	NUM
ejpam-4249	108	3	.	.	X
ejpam-4249	109	1	let	let	AUX
ejpam-4249	109	2	(	(	PUNCT
ejpam-4249	109	3	ũe	ũe	X
ejpam-4249	109	4	,	,	PUNCT
ejpam-4249	109	5	τ	τ	PROPN
ejpam-4249	109	6	,	,	PUNCT
ejpam-4249	109	7	κ	κ	NOUN
ejpam-4249	109	8	)	)	PUNCT
ejpam-4249	109	9	be	be	VERB
ejpam-4249	109	10	a	a	DET
ejpam-4249	109	11	soft	soft	ADJ
ejpam-4249	109	12	ditopological	ditopological	ADJ
ejpam-4249	109	13	space	space	NOUN
ejpam-4249	109	14	we	we	PRON
ejpam-4249	109	15	have	have	VERB
ejpam-4249	109	16	:	:	PUNCT
ejpam-4249	109	17	(	(	PUNCT
ejpam-4249	109	18	1	1	X
ejpam-4249	109	19	)	)	PUNCT
ejpam-4249	109	20	if	if	SCONJ
ejpam-4249	109	21	f	f	PROPN
ejpam-4249	109	22	∈	∈	PROPN
ejpam-4249	109	23	spo	spo	PROPN
ejpam-4249	109	24	,	,	PUNCT
ejpam-4249	109	25	f	f	PROPN
ejpam-4249	109	26	⊆̃	⊆̃	PROPN
ejpam-4249	109	27	h	h	NOUN
ejpam-4249	109	28	⊆̃	⊆̃	PROPN
ejpam-4249	109	29	scl(f	scl(f	PROPN
ejpam-4249	109	30	)	)	PUNCT
ejpam-4249	109	31	then	then	ADV
ejpam-4249	109	32	h	h	NOUN
ejpam-4249	109	33	∈	∈	PROPN
ejpam-4249	109	34	sβo	sβo	ADJ
ejpam-4249	109	35	.	.	PUNCT
ejpam-4249	110	1	(	(	PUNCT
ejpam-4249	110	2	2	2	X
ejpam-4249	110	3	)	)	PUNCT
ejpam-4249	110	4	if	if	SCONJ
ejpam-4249	110	5	f	f	PROPN
ejpam-4249	110	6	∈	∈	PROPN
ejpam-4249	110	7	spc	spc	PROPN
ejpam-4249	110	8	,	,	PUNCT
ejpam-4249	110	9	sint(f	sint(f	PROPN
ejpam-4249	110	10	)	)	PUNCT
ejpam-4249	110	11	⊆̃	⊆̃	NOUN
ejpam-4249	110	12	h	h	NOUN
ejpam-4249	110	13	⊆̃f	⊆̃f	NOUN
ejpam-4249	110	14	then	then	ADV
ejpam-4249	110	15	h	h	PROPN
ejpam-4249	110	16	∈	∈	PROPN
ejpam-4249	110	17	sβc	sβc	PROPN
ejpam-4249	110	18	.	.	PUNCT
ejpam-4249	111	1	proof	proof	NOUN
ejpam-4249	111	2	:	:	PUNCT
ejpam-4249	111	3	(	(	PUNCT
ejpam-4249	111	4	1	1	X
ejpam-4249	111	5	)	)	PUNCT
ejpam-4249	111	6	since	since	SCONJ
ejpam-4249	111	7	f	f	PROPN
ejpam-4249	111	8	is	be	AUX
ejpam-4249	111	9	soft	soft	ADJ
ejpam-4249	111	10	preopen	preopen	ADJ
ejpam-4249	111	11	⇒	⇒	NOUN
ejpam-4249	111	12	f⊆̃int(cl(f))⊆̃h⊆̃∩̃{f	f⊆̃int(cl(f))⊆̃h⊆̃∩̃{f	NOUN
ejpam-4249	111	13	:	:	PUNCT
ejpam-4249	111	14	f	f	PROPN
ejpam-4249	111	15	is	be	AUX
ejpam-4249	111	16	soft	soft	ADJ
ejpam-4249	111	17	closed	closed	ADJ
ejpam-4249	111	18	}	}	PUNCT
ejpam-4249	111	19	⊆̃cl(int(cl(f	⊆̃cl(int(cl(f	PROPN
ejpam-4249	111	20	)	)	PUNCT
ejpam-4249	111	21	)	)	PUNCT
ejpam-4249	111	22	)	)	PUNCT
ejpam-4249	112	1	⇒	⇒	VERB
ejpam-4249	112	2	h	h	NOUN
ejpam-4249	112	3	∈	∈	PROPN
ejpam-4249	112	4	sβo	sβo	ADJ
ejpam-4249	112	5	.	.	PUNCT
ejpam-4249	113	1	(	(	PUNCT
ejpam-4249	113	2	2	2	X
ejpam-4249	113	3	)	)	PUNCT
ejpam-4249	113	4	since	since	SCONJ
ejpam-4249	113	5	f	f	PROPN
ejpam-4249	113	6	is	be	AUX
ejpam-4249	113	7	soft	soft	ADJ
ejpam-4249	113	8	preclosed	preclose	VERB
ejpam-4249	113	9	⇒	⇒	NOUN
ejpam-4249	113	10	cl(int(f))⊆̃f	cl(int(f))⊆̃f	NOUN
ejpam-4249	113	11	,	,	PUNCT
ejpam-4249	113	12	sint(f)⊆̃h⊆̃f	sint(f)⊆̃h⊆̃f	ADJ
ejpam-4249	113	13	⇒	⇒	NOUN
ejpam-4249	113	14	h	h	PROPN
ejpam-4249	113	15	∈	∈	PROPN
ejpam-4249	113	16	sβc	sβc	PROPN
ejpam-4249	113	17	.	.	PUNCT
ejpam-4249	114	1	lemma	lemma	PROPN
ejpam-4249	114	2	1	1	X
ejpam-4249	114	3	.	.	PUNCT
ejpam-4249	115	1	let	let	AUX
ejpam-4249	115	2	(	(	PUNCT
ejpam-4249	115	3	ũe	ũe	X
ejpam-4249	115	4	,	,	PUNCT
ejpam-4249	115	5	τ	τ	PROPN
ejpam-4249	115	6	,	,	PUNCT
ejpam-4249	115	7	κ	κ	NOUN
ejpam-4249	115	8	)	)	PUNCT
ejpam-4249	115	9	be	be	VERB
ejpam-4249	115	10	a	a	DET
ejpam-4249	115	11	soft	soft	ADJ
ejpam-4249	115	12	ditopological	ditopological	ADJ
ejpam-4249	115	13	space	space	NOUN
ejpam-4249	115	14	,	,	PUNCT
ejpam-4249	115	15	then	then	ADV
ejpam-4249	115	16	(	(	PUNCT
ejpam-4249	115	17	1	1	X
ejpam-4249	115	18	)	)	PUNCT
ejpam-4249	115	19	τ	τ	PROPN
ejpam-4249	115	20	⊆̃	⊆̃	NOUN
ejpam-4249	115	21	spo	spo	NOUN
ejpam-4249	115	22	⊆̃	⊆̃	NOUN
ejpam-4249	115	23	sβo	sβo	ADJ
ejpam-4249	115	24	and	and	CCONJ
ejpam-4249	115	25	κ	κ	PROPN
ejpam-4249	115	26	⊆̃	⊆̃	PROPN
ejpam-4249	115	27	spc	spc	PROPN
ejpam-4249	115	28	⊆̃	⊆̃	PROPN
ejpam-4249	115	29	sβc	sβc	NOUN
ejpam-4249	115	30	.	.	PUNCT
ejpam-4249	116	1	(	(	PUNCT
ejpam-4249	116	2	2	2	X
ejpam-4249	116	3	)	)	PUNCT
ejpam-4249	116	4	spo	spo	NOUN
ejpam-4249	116	5	and	and	CCONJ
ejpam-4249	116	6	sβo	sβo	ADJ
ejpam-4249	116	7	are	be	AUX
ejpam-4249	116	8	closed	close	VERB
ejpam-4249	116	9	under	under	ADP
ejpam-4249	116	10	arbitrary	arbitrary	ADJ
ejpam-4249	116	11	unions	union	NOUN
ejpam-4249	116	12	.	.	PUNCT
ejpam-4249	117	1	(	(	PUNCT
ejpam-4249	117	2	3	3	X
ejpam-4249	117	3	)	)	PUNCT
ejpam-4249	117	4	spc	spc	PROPN
ejpam-4249	117	5	and	and	CCONJ
ejpam-4249	117	6	sβc	sβc	PROPN
ejpam-4249	117	7	are	be	AUX
ejpam-4249	117	8	closed	close	VERB
ejpam-4249	117	9	under	under	ADP
ejpam-4249	117	10	arbitrary	arbitrary	ADJ
ejpam-4249	117	11	intersections	intersection	NOUN
ejpam-4249	117	12	.	.	PUNCT
ejpam-4249	118	1	proof	proof	NOUN
ejpam-4249	118	2	:	:	PUNCT
ejpam-4249	118	3	(	(	PUNCT
ejpam-4249	118	4	1	1	X
ejpam-4249	118	5	)	)	PUNCT
ejpam-4249	118	6	since	since	SCONJ
ejpam-4249	118	7	the	the	DET
ejpam-4249	118	8	element	element	NOUN
ejpam-4249	118	9	of	of	ADP
ejpam-4249	118	10	τ	τ	PROPN
ejpam-4249	118	11	is	be	AUX
ejpam-4249	118	12	a	a	DET
ejpam-4249	118	13	soft	soft	ADJ
ejpam-4249	118	14	open	open	NOUN
ejpam-4249	118	15	then	then	ADV
ejpam-4249	118	16	,	,	PUNCT
ejpam-4249	118	17	τ	τ	PROPN
ejpam-4249	118	18	⊆̃	⊆̃	PROPN
ejpam-4249	118	19	spo	spo	PROPN
ejpam-4249	118	20	and	and	CCONJ
ejpam-4249	118	21	spo	spo	PROPN
ejpam-4249	118	22	⊆̃	⊆̃	NOUN
ejpam-4249	118	23	sβo	sβo	ADJ
ejpam-4249	118	24	,	,	PUNCT
ejpam-4249	118	25	that	that	PRON
ejpam-4249	118	26	is	be	AUX
ejpam-4249	118	27	r.	r.	PROPN
ejpam-4249	118	28	abu	abu	PROPN
ejpam-4249	118	29	-	-	PUNCT
ejpam-4249	118	30	gdairi	gdairi	PROPN
ejpam-4249	118	31	,	,	PUNCT
ejpam-4249	118	32	a.	a.	PROPN
ejpam-4249	118	33	a.	a.	PROPN
ejpam-4249	118	34	azzam	azzam	PROPN
ejpam-4249	118	35	,	,	PUNCT
ejpam-4249	118	36	i.	i.	PROPN
ejpam-4249	118	37	noaman	noaman	PROPN
ejpam-4249	118	38	/	/	SYM
ejpam-4249	118	39	eur	eur	PROPN
ejpam-4249	118	40	.	.	PUNCT
ejpam-4249	119	1	j.	j.	PROPN
ejpam-4249	119	2	pure	pure	PROPN
ejpam-4249	119	3	appl	appl	PROPN
ejpam-4249	119	4	.	.	PROPN
ejpam-4249	119	5	math	math	PROPN
ejpam-4249	119	6	,	,	PUNCT
ejpam-4249	119	7	15	15	NUM
ejpam-4249	119	8	(	(	PUNCT
ejpam-4249	119	9	1	1	NUM
ejpam-4249	119	10	)	)	PUNCT
ejpam-4249	119	11	(	(	PUNCT
ejpam-4249	119	12	2022	2022	NUM
ejpam-4249	119	13	)	)	PUNCT
ejpam-4249	119	14	,	,	PUNCT
ejpam-4249	119	15	126	126	NUM
ejpam-4249	119	16	-	-	SYM
ejpam-4249	119	17	134	134	NUM
ejpam-4249	119	18	130	130	NUM
ejpam-4249	119	19	τ	τ	NOUN
ejpam-4249	119	20	⊆̃	⊆̃	NOUN
ejpam-4249	119	21	spo	spo	NOUN
ejpam-4249	119	22	⊆̃	⊆̃	NOUN
ejpam-4249	119	23	sβo	sβo	ADJ
ejpam-4249	119	24	.	.	PUNCT
ejpam-4249	120	1	similary	similary	ADJ
ejpam-4249	120	2	,	,	PUNCT
ejpam-4249	120	3	the	the	DET
ejpam-4249	120	4	element	element	NOUN
ejpam-4249	120	5	of	of	ADP
ejpam-4249	120	6	κ	κ	PROPN
ejpam-4249	120	7	is	be	AUX
ejpam-4249	120	8	a	a	DET
ejpam-4249	120	9	soft	soft	ADJ
ejpam-4249	120	10	closed	closed	ADJ
ejpam-4249	120	11	then	then	ADV
ejpam-4249	120	12	,	,	PUNCT
ejpam-4249	120	13	κ	κ	PROPN
ejpam-4249	120	14	⊆̃	⊆̃	PROPN
ejpam-4249	120	15	spc	spc	PROPN
ejpam-4249	120	16	and	and	CCONJ
ejpam-4249	120	17	spc	spc	PROPN
ejpam-4249	120	18	⊆̃	⊆̃	PROPN
ejpam-4249	120	19	sβc	sβc	PROPN
ejpam-4249	120	20	,	,	PUNCT
ejpam-4249	120	21	that	that	PRON
ejpam-4249	120	22	is	be	AUX
ejpam-4249	120	23	κ	κ	ADP
ejpam-4249	120	24	⊆̃	⊆̃	PROPN
ejpam-4249	120	25	spc	spc	PROPN
ejpam-4249	120	26	⊆̃	⊆̃	PROPN
ejpam-4249	120	27	sβc	sβc	NOUN
ejpam-4249	120	28	.	.	PUNCT
ejpam-4249	121	1	(	(	PUNCT
ejpam-4249	121	2	2	2	NUM
ejpam-4249	121	3	)	)	PUNCT
ejpam-4249	121	4	and	and	CCONJ
ejpam-4249	121	5	(	(	PUNCT
ejpam-4249	121	6	3)are	3)are	NUM
ejpam-4249	121	7	obvious	obvious	ADJ
ejpam-4249	121	8	.	.	PUNCT
ejpam-4249	122	1	lemma	lemma	PROPN
ejpam-4249	122	2	2	2	X
ejpam-4249	122	3	.	.	PUNCT
ejpam-4249	123	1	let	let	AUX
ejpam-4249	123	2	(	(	PUNCT
ejpam-4249	123	3	ũe	ũe	X
ejpam-4249	123	4	,	,	PUNCT
ejpam-4249	123	5	τ	τ	PROPN
ejpam-4249	123	6	,	,	PUNCT
ejpam-4249	123	7	κ	κ	NOUN
ejpam-4249	123	8	)	)	PUNCT
ejpam-4249	123	9	be	be	VERB
ejpam-4249	123	10	a	a	DET
ejpam-4249	123	11	soft	soft	ADJ
ejpam-4249	123	12	ditopological	ditopological	ADJ
ejpam-4249	123	13	space	space	NOUN
ejpam-4249	123	14	and	and	CCONJ
ejpam-4249	123	15	f	f	PROPN
ejpam-4249	123	16	is	be	AUX
ejpam-4249	123	17	a	a	DET
ejpam-4249	123	18	soft	soft	ADJ
ejpam-4249	123	19	set	set	NOUN
ejpam-4249	123	20	on	on	ADP
ejpam-4249	123	21	ũe	ũe	ADP
ejpam-4249	123	22	then	then	ADV
ejpam-4249	123	23	:	:	PUNCT
ejpam-4249	123	24	(	(	PUNCT
ejpam-4249	123	25	1	1	X
ejpam-4249	123	26	)	)	PUNCT
ejpam-4249	123	27	f	f	PROPN
ejpam-4249	123	28	∈	∈	PROPN
ejpam-4249	123	29	sβo	sβo	PROPN
ejpam-4249	123	30	⇔	⇔	X
ejpam-4249	123	31	f	f	PROPN
ejpam-4249	123	32	=	=	PUNCT
ejpam-4249	123	33	sβ	sβ	PROPN
ejpam-4249	123	34	int(f	int(f	PROPN
ejpam-4249	123	35	)	)	PUNCT
ejpam-4249	123	36	.	.	PUNCT
ejpam-4249	124	1	(	(	PUNCT
ejpam-4249	124	2	2	2	X
ejpam-4249	124	3	)	)	PUNCT
ejpam-4249	124	4	f	f	PROPN
ejpam-4249	124	5	∈	∈	PROPN
ejpam-4249	124	6	sβc	sβc	VERB
ejpam-4249	124	7	⇔	⇔	PROPN
ejpam-4249	124	8	f	f	PROPN
ejpam-4249	125	1	=	=	X
ejpam-4249	125	2	sβ	sβ	PROPN
ejpam-4249	125	3	cl(f	cl(f	PROPN
ejpam-4249	125	4	)	)	PUNCT
ejpam-4249	125	5	.	.	PUNCT
ejpam-4249	126	1	proof	proof	NOUN
ejpam-4249	126	2	:	:	PUNCT
ejpam-4249	126	3	(	(	PUNCT
ejpam-4249	126	4	1	1	X
ejpam-4249	126	5	)	)	PUNCT
ejpam-4249	126	6	let	let	VERB
ejpam-4249	126	7	f	f	NOUN
ejpam-4249	126	8	=	=	PUNCT
ejpam-4249	126	9	sβ	sβ	PROPN
ejpam-4249	126	10	int(f	int(f	PROPN
ejpam-4249	126	11	)	)	PUNCT
ejpam-4249	126	12	.	.	PUNCT
ejpam-4249	127	1	since	since	SCONJ
ejpam-4249	127	2	sβ	sβ	PROPN
ejpam-4249	127	3	int(f	int(f	PROPN
ejpam-4249	127	4	)	)	PUNCT
ejpam-4249	127	5	=	=	SYM
ejpam-4249	127	6	∪̃{h	∪̃{h	PROPN
ejpam-4249	127	7	:	:	PUNCT
ejpam-4249	127	8	h	h	NOUN
ejpam-4249	127	9	is	be	AUX
ejpam-4249	127	10	a	a	DET
ejpam-4249	127	11	soft	soft	ADJ
ejpam-4249	127	12	β	β	NOUN
ejpam-4249	127	13	open	open	ADJ
ejpam-4249	127	14	and	and	CCONJ
ejpam-4249	127	15	h⊆̃f	h⊆̃f	NOUN
ejpam-4249	127	16	}	}	PUNCT
ejpam-4249	127	17	this	this	PRON
ejpam-4249	127	18	show	show	VERB
ejpam-4249	127	19	that	that	SCONJ
ejpam-4249	127	20	f	f	PROPN
ejpam-4249	127	21	∈	∈	PROPN
ejpam-4249	127	22	{	{	PUNCT
ejpam-4249	127	23	h	h	NOUN
ejpam-4249	127	24	:	:	PUNCT
ejpam-4249	127	25	h	h	NOUN
ejpam-4249	127	26	is	be	AUX
ejpam-4249	127	27	a	a	DET
ejpam-4249	127	28	soft	soft	ADJ
ejpam-4249	127	29	β	β	NOUN
ejpam-4249	127	30	open	open	ADJ
ejpam-4249	127	31	and	and	CCONJ
ejpam-4249	127	32	h⊆̃f	h⊆̃f	NOUN
ejpam-4249	127	33	}	}	PUNCT
ejpam-4249	127	34	hance	hance	PROPN
ejpam-4249	127	35	f	f	PROPN
ejpam-4249	127	36	is	be	AUX
ejpam-4249	127	37	a	a	DET
ejpam-4249	127	38	soft	soft	ADJ
ejpam-4249	127	39	β	β	NOUN
ejpam-4249	127	40	open	open	ADJ
ejpam-4249	127	41	.	.	PUNCT
ejpam-4249	128	1	conversely	conversely	ADV
ejpam-4249	128	2	let	let	VERB
ejpam-4249	128	3	f	f	PROPN
ejpam-4249	128	4	∈	∈	PROPN
ejpam-4249	128	5	sβo	sβo	ADJ
ejpam-4249	128	6	,	,	PUNCT
ejpam-4249	128	7	since	since	SCONJ
ejpam-4249	128	8	f⊆̃f	f⊆̃f	NUM
ejpam-4249	128	9	,	,	PUNCT
ejpam-4249	128	10	f	f	PROPN
ejpam-4249	128	11	∈	∈	PROPN
ejpam-4249	128	12	{	{	PUNCT
ejpam-4249	128	13	h	h	NOUN
ejpam-4249	128	14	:	:	PUNCT
ejpam-4249	128	15	h	h	NOUN
ejpam-4249	128	16	is	be	AUX
ejpam-4249	128	17	a	a	DET
ejpam-4249	128	18	soft	soft	ADJ
ejpam-4249	128	19	β	β	NOUN
ejpam-4249	128	20	open	open	ADJ
ejpam-4249	128	21	and	and	CCONJ
ejpam-4249	128	22	h⊆̃f	h⊆̃f	NOUN
ejpam-4249	128	23	}	}	PUNCT
ejpam-4249	128	24	further	far	ADV
ejpam-4249	128	25	,	,	PUNCT
ejpam-4249	128	26	h⊆̃f	h⊆̃f	NOUN
ejpam-4249	128	27	∀	∀	X
ejpam-4249	128	28	f	f	NOUN
ejpam-4249	128	29	,	,	PUNCT
ejpam-4249	128	30	since	since	SCONJ
ejpam-4249	128	31	f	f	PROPN
ejpam-4249	128	32	=	=	SYM
ejpam-4249	128	33	∪̃{h	∪̃{h	PROPN
ejpam-4249	128	34	:	:	PUNCT
ejpam-4249	128	35	h	h	NOUN
ejpam-4249	128	36	is	be	AUX
ejpam-4249	128	37	a	a	DET
ejpam-4249	128	38	soft	soft	ADJ
ejpam-4249	128	39	β	β	X
ejpam-4249	128	40	open	open	ADJ
ejpam-4249	128	41	and	and	CCONJ
ejpam-4249	128	42	h⊆̃f	h⊆̃f	NOUN
ejpam-4249	128	43	}	}	PUNCT
ejpam-4249	128	44	.	.	PUNCT
ejpam-4249	129	1	(	(	PUNCT
ejpam-4249	129	2	2	2	X
ejpam-4249	129	3	)	)	PUNCT
ejpam-4249	129	4	similar	similar	ADJ
ejpam-4249	129	5	(	(	PUNCT
ejpam-4249	129	6	1	1	NUM
ejpam-4249	129	7	)	)	PUNCT
ejpam-4249	129	8	lemma	lemma	PROPN
ejpam-4249	129	9	3	3	X
ejpam-4249	129	10	.	.	PUNCT
ejpam-4249	130	1	let	let	AUX
ejpam-4249	130	2	(	(	PUNCT
ejpam-4249	130	3	ũe	ũe	ADP
ejpam-4249	130	4	,	,	PUNCT
ejpam-4249	130	5	ω	ω	NOUN
ejpam-4249	130	6	)	)	PUNCT
ejpam-4249	130	7	be	be	VERB
ejpam-4249	130	8	a	a	DET
ejpam-4249	130	9	soft	soft	ADJ
ejpam-4249	130	10	ditopological	ditopological	ADJ
ejpam-4249	130	11	space	space	NOUN
ejpam-4249	130	12	the	the	DET
ejpam-4249	130	13	following	follow	VERB
ejpam-4249	130	14	hold	hold	NOUN
ejpam-4249	130	15	for	for	ADP
ejpam-4249	130	16	soft	soft	ADJ
ejpam-4249	130	17	β	β	NOUN
ejpam-4249	130	18	closure	closure	NOUN
ejpam-4249	130	19	.	.	PUNCT
ejpam-4249	131	1	(	(	PUNCT
ejpam-4249	131	2	1	1	X
ejpam-4249	131	3	)	)	PUNCT
ejpam-4249	131	4	sβ	sβ	NUM
ejpam-4249	131	5	cl	cl	NOUN
ejpam-4249	131	6	(	(	PUNCT
ejpam-4249	131	7	φ	φ	NOUN
ejpam-4249	131	8	)	)	PUNCT
ejpam-4249	131	9	=	=	SYM
ejpam-4249	132	1	φ	φ	PROPN
ejpam-4249	132	2	.	.	PUNCT
ejpam-4249	133	1	(	(	PUNCT
ejpam-4249	133	2	2	2	X
ejpam-4249	133	3	)	)	PUNCT
ejpam-4249	133	4	if	if	SCONJ
ejpam-4249	133	5	f	f	PROPN
ejpam-4249	133	6	⊆̃	⊆̃	PROPN
ejpam-4249	133	7	h⇒	h⇒	PROPN
ejpam-4249	133	8	sβ	sβ	PROPN
ejpam-4249	133	9	cl(f	cl(f	ADV
ejpam-4249	133	10	)	)	PUNCT
ejpam-4249	133	11	⊆̃	⊆̃	NOUN
ejpam-4249	133	12	sβ	sβ	NOUN
ejpam-4249	133	13	cl(h	cl(h	NUM
ejpam-4249	133	14	)	)	PUNCT
ejpam-4249	133	15	.	.	PUNCT
ejpam-4249	134	1	definition	definition	NOUN
ejpam-4249	134	2	12	12	NUM
ejpam-4249	134	3	.	.	PUNCT
ejpam-4249	135	1	a	a	DET
ejpam-4249	135	2	soft	soft	ADJ
ejpam-4249	135	3	ditopological	ditopological	ADJ
ejpam-4249	135	4	space	space	NOUN
ejpam-4249	135	5	(	(	PUNCT
ejpam-4249	135	6	ũe	ũe	ADP
ejpam-4249	135	7	,	,	PUNCT
ejpam-4249	135	8	ω	ω	NOUN
ejpam-4249	135	9	)	)	PUNCT
ejpam-4249	135	10	is	be	AUX
ejpam-4249	135	11	called	call	VERB
ejpam-4249	135	12	.	.	PUNCT
ejpam-4249	136	1	(	(	PUNCT
ejpam-4249	136	2	1	1	X
ejpam-4249	136	3	)	)	PUNCT
ejpam-4249	136	4	soft	soft	ADJ
ejpam-4249	136	5	β	β	X
ejpam-4249	136	6	compact	compact	NOUN
ejpam-4249	136	7	if	if	SCONJ
ejpam-4249	136	8	every	every	DET
ejpam-4249	136	9	cover	cover	NOUN
ejpam-4249	136	10	of	of	ADP
ejpam-4249	136	11	ũe	ũe	NOUN
ejpam-4249	136	12	by	by	ADP
ejpam-4249	136	13	soft	soft	ADJ
ejpam-4249	136	14	β	β	X
ejpam-4249	136	15	open	open	ADJ
ejpam-4249	136	16	sets	set	NOUN
ejpam-4249	136	17	has	have	VERB
ejpam-4249	136	18	a	a	DET
ejpam-4249	136	19	finite	finite	ADJ
ejpam-4249	136	20	subcover	subcover	PROPN
ejpam-4249	136	21	.	.	PUNCT
ejpam-4249	137	1	(	(	PUNCT
ejpam-4249	137	2	2	2	X
ejpam-4249	137	3	)	)	PUNCT
ejpam-4249	137	4	soft	soft	ADJ
ejpam-4249	137	5	β	β	X
ejpam-4249	137	6	cocompact	cocompact	NOUN
ejpam-4249	137	7	if	if	SCONJ
ejpam-4249	137	8	every	every	DET
ejpam-4249	137	9	cocover	cocover	NOUN
ejpam-4249	137	10	of	of	ADP
ejpam-4249	137	11	φ	φ	NUM
ejpam-4249	137	12	by	by	ADP
ejpam-4249	137	13	soft	soft	ADJ
ejpam-4249	137	14	β	β	X
ejpam-4249	137	15	closed	closed	ADJ
ejpam-4249	137	16	sets	set	NOUN
ejpam-4249	137	17	has	have	VERB
ejpam-4249	137	18	a	a	DET
ejpam-4249	137	19	finite	finite	ADJ
ejpam-4249	137	20	subcocover	subcocover	NOUN
ejpam-4249	137	21	.	.	PUNCT
ejpam-4249	138	1	proposition	proposition	NOUN
ejpam-4249	138	2	1	1	NUM
ejpam-4249	138	3	.	.	PUNCT
ejpam-4249	139	1	let	let	AUX
ejpam-4249	139	2	(	(	PUNCT
ejpam-4249	139	3	ũe	ũe	ADP
ejpam-4249	139	4	,	,	PUNCT
ejpam-4249	139	5	ω	ω	NOUN
ejpam-4249	139	6	)	)	PUNCT
ejpam-4249	139	7	be	be	VERB
ejpam-4249	139	8	a	a	DET
ejpam-4249	139	9	soft	soft	ADJ
ejpam-4249	139	10	ditopological	ditopological	ADJ
ejpam-4249	139	11	space	space	NOUN
ejpam-4249	139	12	and	and	CCONJ
ejpam-4249	139	13	(	(	PUNCT
ejpam-4249	139	14	ũe	ũe	PROPN
ejpam-4249	139	15	,	,	PUNCT
ejpam-4249	139	16	ω	ω	PROPN
ejpam-4249	139	17	c	c	NOUN
ejpam-4249	139	18	)	)	PUNCT
ejpam-4249	139	19	is	be	AUX
ejpam-4249	139	20	a	a	DET
ejpam-4249	139	21	complement	complement	NOUN
ejpam-4249	139	22	of	of	ADP
ejpam-4249	139	23	soft	soft	ADJ
ejpam-4249	139	24	ditopological	ditopological	ADJ
ejpam-4249	139	25	space	space	NOUN
ejpam-4249	139	26	.	.	PUNCT
ejpam-4249	140	1	then	then	ADV
ejpam-4249	140	2	h	h	PROPN
ejpam-4249	140	3	∈	∈	PROPN
ejpam-4249	140	4	sβc	sβc	VERB
ejpam-4249	140	5	⇐	⇐	ADJ
ejpam-4249	140	6	⇒	⇒	PROPN
ejpam-4249	140	7	hc	hc	ADP
ejpam-4249	140	8	∈	∈	PROPN
ejpam-4249	140	9	sβo	sβo	NOUN
ejpam-4249	140	10	,	,	PUNCT
ejpam-4249	141	1	h	h	NOUN
ejpam-4249	141	2	∈	∈	PROPN
ejpam-4249	141	3	ũe	ũe	PROPN
ejpam-4249	141	4	.	.	PROPN
ejpam-4249	141	5	proposition	proposition	NOUN
ejpam-4249	141	6	2	2	NUM
ejpam-4249	141	7	.	.	PUNCT
ejpam-4249	142	1	let	let	VERB
ejpam-4249	142	2	ωc	ωc	PART
ejpam-4249	142	3	be	be	AUX
ejpam-4249	142	4	a	a	DET
ejpam-4249	142	5	complement	complement	NOUN
ejpam-4249	142	6	soft	soft	ADJ
ejpam-4249	142	7	ditopology	ditopology	NOUN
ejpam-4249	142	8	on	on	ADP
ejpam-4249	142	9	ũe	ũe	PROPN
ejpam-4249	142	10	.	.	PUNCT
ejpam-4249	143	1	then	then	ADV
ejpam-4249	143	2	(	(	PUNCT
ejpam-4249	143	3	ũe	ũe	INTJ
ejpam-4249	143	4	,	,	PUNCT
ejpam-4249	143	5	ω	ω	PROPN
ejpam-4249	143	6	c	c	NOUN
ejpam-4249	143	7	)	)	PUNCT
ejpam-4249	143	8	is	be	AUX
ejpam-4249	143	9	soft	soft	ADJ
ejpam-4249	143	10	β	β	X
ejpam-4249	143	11	compact	compact	ADJ
ejpam-4249	143	12	if	if	SCONJ
ejpam-4249	144	1	and	and	CCONJ
ejpam-4249	144	2	only	only	ADV
ejpam-4249	144	3	if	if	SCONJ
ejpam-4249	144	4	it	it	PRON
ejpam-4249	144	5	is	be	AUX
ejpam-4249	144	6	soft	soft	ADJ
ejpam-4249	144	7	β	β	X
ejpam-4249	144	8	cocompact	cocompact	NOUN
ejpam-4249	144	9	.	.	PUNCT
ejpam-4249	145	1	proof	proof	NOUN
ejpam-4249	145	2	:	:	PUNCT
ejpam-4249	145	3	let	let	VERB
ejpam-4249	145	4	ω	ω	NOUN
ejpam-4249	145	5	be	be	AUX
ejpam-4249	145	6	soft	soft	ADJ
ejpam-4249	145	7	β	β	X
ejpam-4249	145	8	compact	compact	ADJ
ejpam-4249	145	9	and	and	CCONJ
ejpam-4249	145	10	f	f	NOUN
ejpam-4249	145	11	=	=	SYM
ejpam-4249	145	12	{	{	PUNCT
ejpam-4249	145	13	fi	fi	NOUN
ejpam-4249	145	14	:	:	PUNCT
ejpam-4249	145	15	i	i	PROPN
ejpam-4249	145	16	∈	∈	PROPN
ejpam-4249	145	17	j	j	X
ejpam-4249	145	18	}	}	PUNCT
ejpam-4249	145	19	∈	∈	PROPN
ejpam-4249	145	20	sβc	sβc	VERB
ejpam-4249	145	21	with	with	ADP
ejpam-4249	145	22	∩̃f	∩̃f	PROPN
ejpam-4249	145	23	=	=	PROPN
ejpam-4249	146	1	φ	φ	PROPN
ejpam-4249	146	2	.	.	PUNCT
ejpam-4249	147	1	that	that	DET
ejpam-4249	147	2	g	g	PROPN
ejpam-4249	147	3	=	=	PRON
ejpam-4249	147	4	{	{	PUNCT
ejpam-4249	147	5	f	f	PROPN
ejpam-4249	147	6	ci	ci	PROPN
ejpam-4249	147	7	:	:	PUNCT
ejpam-4249	148	1	i	i	PROPN
ejpam-4249	148	2	∈	∈	PROPN
ejpam-4249	148	3	j	j	PROPN
ejpam-4249	148	4	}	}	PUNCT
ejpam-4249	148	5	∈	∈	NOUN
ejpam-4249	148	6	sβo	sβo	ADJ
ejpam-4249	148	7	,	,	PUNCT
ejpam-4249	148	8	moreover	moreover	ADV
ejpam-4249	148	9	∪̃g	∪̃g	PUNCT
ejpam-4249	148	10	=	=	SYM
ejpam-4249	148	11	∪̃{f	∪̃{f	PROPN
ejpam-4249	148	12	ci	ci	NOUN
ejpam-4249	148	13	:	:	PUNCT
ejpam-4249	149	1	i	i	PROPN
ejpam-4249	149	2	∈	∈	PROPN
ejpam-4249	149	3	j	j	X
ejpam-4249	149	4	}	}	PUNCT
ejpam-4249	149	5	=	=	SYM
ejpam-4249	149	6	{	{	PUNCT
ejpam-4249	149	7	∩̃fi	∩̃fi	NUM
ejpam-4249	149	8	:	:	PUNCT
ejpam-4249	149	9	i	i	PROPN
ejpam-4249	149	10	∈	∈	PROPN
ejpam-4249	149	11	j}c	j}c	NOUN
ejpam-4249	149	12	=	=	PUNCT
ejpam-4249	150	1	φc	φc	PROPN
ejpam-4249	150	2	=	=	SYM
ejpam-4249	150	3	ũe	ũe	PROPN
ejpam-4249	150	4	.	.	PUNCT
ejpam-4249	150	5	similary	similary	PROPN
ejpam-4249	150	6	,	,	PUNCT
ejpam-4249	150	7	if	if	SCONJ
ejpam-4249	150	8	ω	ω	NOUN
ejpam-4249	150	9	is	be	AUX
ejpam-4249	150	10	soft	soft	ADJ
ejpam-4249	150	11	β	β	X
ejpam-4249	150	12	compact	compact	NOUN
ejpam-4249	150	13	then	then	ADV
ejpam-4249	150	14	it	it	PRON
ejpam-4249	150	15	is	be	AUX
ejpam-4249	150	16	soft	soft	ADJ
ejpam-4249	150	17	β	β	X
ejpam-4249	150	18	-cocompact	-cocompact	NOUN
ejpam-4249	150	19	.	.	PUNCT
ejpam-4249	151	1	definition	definition	NOUN
ejpam-4249	151	2	13	13	NUM
ejpam-4249	151	3	.	.	PUNCT
ejpam-4249	152	1	let	let	AUX
ejpam-4249	152	2	(	(	PUNCT
ejpam-4249	152	3	τ	τ	PROPN
ejpam-4249	152	4	,	,	PUNCT
ejpam-4249	152	5	κ	κ	NOUN
ejpam-4249	152	6	)	)	PUNCT
ejpam-4249	152	7	be	be	VERB
ejpam-4249	152	8	a	a	DET
ejpam-4249	152	9	soft	soft	ADJ
ejpam-4249	152	10	ditopology	ditopology	NOUN
ejpam-4249	152	11	on	on	ADP
ejpam-4249	152	12	ũe	ũe	PROPN
ejpam-4249	152	13	.	.	PUNCT
ejpam-4249	153	1	(	(	PUNCT
ejpam-4249	153	2	1	1	NUM
ejpam-4249	153	3	)	)	PUNCT
ejpam-4249	153	4	(	(	PUNCT
ejpam-4249	153	5	τ	τ	PROPN
ejpam-4249	153	6	,	,	PUNCT
ejpam-4249	153	7	κ	κ	NOUN
ejpam-4249	153	8	)	)	PUNCT
ejpam-4249	153	9	will	will	AUX
ejpam-4249	153	10	be	be	AUX
ejpam-4249	153	11	called	call	VERB
ejpam-4249	153	12	sβ	sβ	PRON
ejpam-4249	153	13	stable	stable	ADJ
ejpam-4249	153	14	if	if	SCONJ
ejpam-4249	153	15	every	every	DET
ejpam-4249	153	16	sβ	sβ	NOUN
ejpam-4249	153	17	closed	close	VERB
ejpam-4249	153	18	set	set	VERB
ejpam-4249	153	19	h	h	NOUN
ejpam-4249	153	20	∈	∈	PROPN
ejpam-4249	153	21	ω	ω	X
ejpam-4249	153	22	\	\	PROPN
ejpam-4249	153	23	{	{	PUNCT
ejpam-4249	153	24	ũe	ũe	NOUN
ejpam-4249	153	25	}	}	PUNCT
ejpam-4249	153	26	is	be	AUX
ejpam-4249	153	27	sβ	sβ	PRON
ejpam-4249	153	28	compact	compact	ADJ
ejpam-4249	153	29	in	in	ADP
ejpam-4249	153	30	ũe	ũe	PROPN
ejpam-4249	153	31	.	.	PUNCT
ejpam-4249	154	1	(	(	PUNCT
ejpam-4249	154	2	2	2	NUM
ejpam-4249	154	3	)	)	PUNCT
ejpam-4249	154	4	(	(	PUNCT
ejpam-4249	154	5	τ	τ	PROPN
ejpam-4249	154	6	,	,	PUNCT
ejpam-4249	154	7	κ	κ	NOUN
ejpam-4249	154	8	)	)	PUNCT
ejpam-4249	154	9	will	will	AUX
ejpam-4249	154	10	be	be	AUX
ejpam-4249	154	11	called	call	VERB
ejpam-4249	154	12	sβ	sβ	DET
ejpam-4249	154	13	costable	costable	NOUN
ejpam-4249	154	14	if	if	SCONJ
ejpam-4249	154	15	every	every	DET
ejpam-4249	154	16	sβ	sβ	NOUN
ejpam-4249	154	17	open	open	ADJ
ejpam-4249	154	18	set	set	VERB
ejpam-4249	154	19	f	f	PROPN
ejpam-4249	154	20	∈	∈	PROPN
ejpam-4249	154	21	ω	ω	PROPN
ejpam-4249	154	22	\φ	\φ	PROPN
ejpam-4249	154	23	is	be	AUX
ejpam-4249	154	24	sβ	sβ	NOUN
ejpam-4249	154	25	cocompact	cocompact	NOUN
ejpam-4249	154	26	in	in	ADP
ejpam-4249	154	27	ũe	ũe	PROPN
ejpam-4249	154	28	.	.	PROPN
ejpam-4249	154	29	example	example	NOUN
ejpam-4249	155	1	3	3	X
ejpam-4249	155	2	.	.	PUNCT
ejpam-4249	156	1	let	let	AUX
ejpam-4249	156	2	(	(	PUNCT
ejpam-4249	156	3	τ	τ	PROPN
ejpam-4249	156	4	,	,	PUNCT
ejpam-4249	156	5	κ	κ	NOUN
ejpam-4249	156	6	)	)	PUNCT
ejpam-4249	156	7	be	be	VERB
ejpam-4249	156	8	a	a	DET
ejpam-4249	156	9	soft	soft	ADJ
ejpam-4249	156	10	ditopological	ditopological	ADJ
ejpam-4249	156	11	space	space	NOUN
ejpam-4249	156	12	on	on	ADP
ejpam-4249	156	13	ũe	ũe	ADP
ejpam-4249	156	14	such	such	ADJ
ejpam-4249	156	15	that	that	DET
ejpam-4249	156	16	u	u	NOUN
ejpam-4249	156	17	=	=	NOUN
ejpam-4249	156	18	{	{	PUNCT
ejpam-4249	156	19	u1	u1	NOUN
ejpam-4249	156	20	,	,	PUNCT
ejpam-4249	156	21	u2	u2	NOUN
ejpam-4249	156	22	,	,	PUNCT
ejpam-4249	156	23	u3	u3	NOUN
ejpam-4249	156	24	}	}	PUNCT
ejpam-4249	156	25	,	,	PUNCT
ejpam-4249	156	26	e	e	X
ejpam-4249	156	27	=	=	PRON
ejpam-4249	156	28	{	{	PUNCT
ejpam-4249	156	29	e1	e1	PROPN
ejpam-4249	156	30	,	,	PUNCT
ejpam-4249	156	31	e2	e2	PROPN
ejpam-4249	156	32	,	,	PUNCT
ejpam-4249	156	33	e3	e3	NOUN
ejpam-4249	156	34	}	}	PUNCT
ejpam-4249	156	35	,	,	PUNCT
ejpam-4249	156	36	ũe	ũe	ADP
ejpam-4249	156	37	=	=	VERB
ejpam-4249	156	38	{	{	PUNCT
ejpam-4249	156	39	(	(	PUNCT
ejpam-4249	156	40	e1	e1	NOUN
ejpam-4249	156	41	,	,	PUNCT
ejpam-4249	156	42	{	{	PUNCT
ejpam-4249	156	43	u1	u1	NOUN
ejpam-4249	156	44	,	,	PUNCT
ejpam-4249	156	45	u2	u2	NOUN
ejpam-4249	156	46	}	}	PUNCT
ejpam-4249	156	47	)	)	PUNCT
ejpam-4249	156	48	,	,	PUNCT
ejpam-4249	156	49	(	(	PUNCT
ejpam-4249	156	50	e2	e2	PROPN
ejpam-4249	156	51	,	,	PUNCT
ejpam-4249	156	52	{	{	PUNCT
ejpam-4249	156	53	u2	u2	NOUN
ejpam-4249	156	54	,	,	PUNCT
ejpam-4249	156	55	u3	u3	NOUN
ejpam-4249	156	56	}	}	PUNCT
ejpam-4249	156	57	)	)	PUNCT
ejpam-4249	156	58	}	}	PUNCT
ejpam-4249	156	59	,	,	PUNCT
ejpam-4249	156	60	τ	τ	X
ejpam-4249	156	61	=	=	PUNCT
ejpam-4249	156	62	{	{	PUNCT
ejpam-4249	156	63	φ	φ	NOUN
ejpam-4249	156	64	,	,	PUNCT
ejpam-4249	156	65	ũe	ũe	NOUN
ejpam-4249	156	66	}	}	PUNCT
ejpam-4249	156	67	and	and	CCONJ
ejpam-4249	156	68	κ	κ	X
ejpam-4249	156	69	=	=	SYM
ejpam-4249	156	70	{	{	PUNCT
ejpam-4249	156	71	φ	φ	PROPN
ejpam-4249	156	72	,	,	PUNCT
ejpam-4249	156	73	{	{	PUNCT
ejpam-4249	156	74	(	(	PUNCT
ejpam-4249	156	75	e1	e1	NOUN
ejpam-4249	156	76	,	,	PUNCT
ejpam-4249	156	77	{	{	PUNCT
ejpam-4249	156	78	u1	u1	NOUN
ejpam-4249	156	79	}	}	PUNCT
ejpam-4249	156	80	)	)	PUNCT
ejpam-4249	156	81	,	,	PUNCT
ejpam-4249	156	82	(	(	PUNCT
ejpam-4249	156	83	e2	e2	PROPN
ejpam-4249	156	84	,	,	PUNCT
ejpam-4249	156	85	{	{	PUNCT
ejpam-4249	156	86	u2	u2	NOUN
ejpam-4249	156	87	}	}	PUNCT
ejpam-4249	156	88	)	)	PUNCT
ejpam-4249	156	89	}	}	PUNCT
ejpam-4249	156	90	}	}	PUNCT
ejpam-4249	156	91	.	.	PUNCT
ejpam-4249	157	1	firstly	firstly	ADV
ejpam-4249	157	2	,	,	PUNCT
ejpam-4249	157	3	we	we	PRON
ejpam-4249	157	4	notice	notice	VERB
ejpam-4249	157	5	that	that	SCONJ
ejpam-4249	157	6	,	,	PUNCT
ejpam-4249	157	7	the	the	DET
ejpam-4249	157	8	only	only	ADJ
ejpam-4249	157	9	soft	soft	ADJ
ejpam-4249	157	10	β	β	SYM
ejpam-4249	157	11	open	open	ADJ
ejpam-4249	157	12	are	be	AUX
ejpam-4249	157	13	φ	φ	PROPN
ejpam-4249	157	14	,	,	PUNCT
ejpam-4249	157	15	ũe	ũe	ADP
ejpam-4249	157	16	in	in	ADP
ejpam-4249	157	17	soft	soft	ADJ
ejpam-4249	157	18	ditopolgical	ditopolgical	ADJ
ejpam-4249	157	19	space	space	NOUN
ejpam-4249	157	20	(	(	PUNCT
ejpam-4249	157	21	ũe	ũe	PROPN
ejpam-4249	157	22	,	,	PUNCT
ejpam-4249	157	23	τ	τ	PROPN
ejpam-4249	157	24	,	,	PUNCT
ejpam-4249	157	25	κ	κ	NOUN
ejpam-4249	157	26	)	)	PUNCT
ejpam-4249	157	27	,	,	PUNCT
ejpam-4249	157	28	that	that	PRON
ejpam-4249	157	29	is	be	AUX
ejpam-4249	157	30	it	it	PRON
ejpam-4249	157	31	is	be	AUX
ejpam-4249	157	32	soft	soft	ADJ
ejpam-4249	157	33	β	β	X
ejpam-4249	157	34	compact	compact	ADJ
ejpam-4249	157	35	.	.	PUNCT
ejpam-4249	158	1	also	also	ADV
ejpam-4249	158	2	,	,	PUNCT
ejpam-4249	158	3	the	the	DET
ejpam-4249	158	4	soft	soft	ADJ
ejpam-4249	158	5	h	h	NOUN
ejpam-4249	158	6	=	=	PRON
ejpam-4249	158	7	{	{	PUNCT
ejpam-4249	158	8	(	(	PUNCT
ejpam-4249	158	9	e1	e1	NOUN
ejpam-4249	158	10	,	,	PUNCT
ejpam-4249	158	11	{	{	PUNCT
ejpam-4249	158	12	u1	u1	NOUN
ejpam-4249	158	13	}	}	PUNCT
ejpam-4249	158	14	)	)	PUNCT
ejpam-4249	158	15	,	,	PUNCT
ejpam-4249	158	16	(	(	PUNCT
ejpam-4249	158	17	e2	e2	PROPN
ejpam-4249	158	18	,	,	PUNCT
ejpam-4249	158	19	{	{	PUNCT
ejpam-4249	158	20	u2	u2	NOUN
ejpam-4249	158	21	}	}	PUNCT
ejpam-4249	158	22	)	)	PUNCT
ejpam-4249	158	23	}	}	PUNCT
ejpam-4249	158	24	is	be	AUX
ejpam-4249	158	25	soft	soft	ADJ
ejpam-4249	158	26	closed	closed	ADJ
ejpam-4249	158	27	and	and	CCONJ
ejpam-4249	158	28	soft	soft	ADJ
ejpam-4249	158	29	β	β	NOUN
ejpam-4249	158	30	closed	close	VERB
ejpam-4249	158	31	,	,	PUNCT
ejpam-4249	158	32	so	so	CCONJ
ejpam-4249	158	33	it	it	PRON
ejpam-4249	158	34	is	be	AUX
ejpam-4249	158	35	not	not	PART
ejpam-4249	158	36	soft	soft	ADJ
ejpam-4249	158	37	compact	compact	ADJ
ejpam-4249	158	38	and	and	CCONJ
ejpam-4249	158	39	not	not	PART
ejpam-4249	158	40	soft	soft	ADJ
ejpam-4249	158	41	β	β	X
ejpam-4249	158	42	compact	compact	ADJ
ejpam-4249	158	43	.	.	PUNCT
ejpam-4249	159	1	if	if	SCONJ
ejpam-4249	159	2	follows	follow	VERB
ejpam-4249	159	3	that	that	PRON
ejpam-4249	159	4	(	(	PUNCT
ejpam-4249	159	5	τ	τ	PROPN
ejpam-4249	159	6	,	,	PUNCT
ejpam-4249	159	7	κ	κ	NOUN
ejpam-4249	159	8	)	)	PUNCT
ejpam-4249	159	9	is	be	AUX
ejpam-4249	159	10	not	not	PART
ejpam-4249	159	11	sβ	sβ	ADV
ejpam-4249	159	12	stable	stable	ADJ
ejpam-4249	159	13	.	.	PUNCT
ejpam-4249	160	1	secondly	secondly	ADV
ejpam-4249	160	2	,	,	PUNCT
ejpam-4249	160	3	we	we	PRON
ejpam-4249	160	4	show	show	VERB
ejpam-4249	160	5	that	that	SCONJ
ejpam-4249	160	6	the	the	DET
ejpam-4249	160	7	space	space	NOUN
ejpam-4249	160	8	may	may	AUX
ejpam-4249	160	9	be	be	AUX
ejpam-4249	160	10	sβ	sβ	PART
ejpam-4249	160	11	compact	compact	ADJ
ejpam-4249	160	12	but	but	CCONJ
ejpam-4249	160	13	not	not	PART
ejpam-4249	160	14	soft	soft	ADJ
ejpam-4249	160	15	β	β	X
ejpam-4249	160	16	costable	costable	NOUN
ejpam-4249	160	17	.	.	PUNCT
ejpam-4249	161	1	r.	r.	PROPN
ejpam-4249	161	2	abu	abu	PROPN
ejpam-4249	161	3	-	-	PUNCT
ejpam-4249	161	4	gdairi	gdairi	PROPN
ejpam-4249	161	5	,	,	PUNCT
ejpam-4249	161	6	a.	a.	PROPN
ejpam-4249	161	7	a.	a.	PROPN
ejpam-4249	161	8	azzam	azzam	PROPN
ejpam-4249	161	9	,	,	PUNCT
ejpam-4249	161	10	i.	i.	PROPN
ejpam-4249	161	11	noaman	noaman	PROPN
ejpam-4249	161	12	/	/	SYM
ejpam-4249	161	13	eur	eur	PROPN
ejpam-4249	161	14	.	.	PUNCT
ejpam-4249	162	1	j.	j.	PROPN
ejpam-4249	162	2	pure	pure	PROPN
ejpam-4249	162	3	appl	appl	PROPN
ejpam-4249	162	4	.	.	PROPN
ejpam-4249	162	5	math	math	PROPN
ejpam-4249	162	6	,	,	PUNCT
ejpam-4249	162	7	15	15	NUM
ejpam-4249	162	8	(	(	PUNCT
ejpam-4249	162	9	1	1	NUM
ejpam-4249	162	10	)	)	PUNCT
ejpam-4249	162	11	(	(	PUNCT
ejpam-4249	162	12	2022	2022	NUM
ejpam-4249	162	13	)	)	PUNCT
ejpam-4249	162	14	,	,	PUNCT
ejpam-4249	162	15	126	126	NUM
ejpam-4249	162	16	-	-	SYM
ejpam-4249	162	17	134	134	NUM
ejpam-4249	162	18	131	131	NUM
ejpam-4249	162	19	let	let	VERB
ejpam-4249	162	20	τ	τ	X
ejpam-4249	162	21	=	=	SYM
ejpam-4249	162	22	{	{	PUNCT
ejpam-4249	162	23	(	(	PUNCT
ejpam-4249	162	24	e1	e1	NOUN
ejpam-4249	162	25	,	,	PUNCT
ejpam-4249	162	26	{	{	PUNCT
ejpam-4249	162	27	u1	u1	NOUN
ejpam-4249	162	28	}	}	PUNCT
ejpam-4249	162	29	)	)	PUNCT
ejpam-4249	162	30	,	,	PUNCT
ejpam-4249	162	31	(	(	PUNCT
ejpam-4249	162	32	e2	e2	PROPN
ejpam-4249	162	33	,	,	PUNCT
ejpam-4249	162	34	{	{	PUNCT
ejpam-4249	162	35	u2	u2	NOUN
ejpam-4249	162	36	}	}	PUNCT
ejpam-4249	162	37	)	)	PUNCT
ejpam-4249	162	38	}	}	PUNCT
ejpam-4249	162	39	,	,	PUNCT
ejpam-4249	162	40	κ	κ	X
ejpam-4249	162	41	=	=	SYM
ejpam-4249	162	42	{	{	PUNCT
ejpam-4249	162	43	φ	φ	NOUN
ejpam-4249	162	44	,	,	PUNCT
ejpam-4249	162	45	ũe	ũe	PROPN
ejpam-4249	162	46	}	}	PUNCT
ejpam-4249	162	47	,	,	PUNCT
ejpam-4249	162	48	the	the	DET
ejpam-4249	162	49	soft	soft	ADJ
ejpam-4249	162	50	ditopology	ditopology	NOUN
ejpam-4249	162	51	(	(	PUNCT
ejpam-4249	162	52	τ	τ	PROPN
ejpam-4249	162	53	,	,	PUNCT
ejpam-4249	162	54	κ	κ	NOUN
ejpam-4249	162	55	)	)	PUNCT
ejpam-4249	162	56	is	be	AUX
ejpam-4249	162	57	not	not	PART
ejpam-4249	162	58	sβ	sβ	PART
ejpam-4249	162	59	compact	compact	ADJ
ejpam-4249	162	60	since	since	SCONJ
ejpam-4249	162	61	it	it	PRON
ejpam-4249	162	62	is	be	AUX
ejpam-4249	162	63	not	not	PART
ejpam-4249	162	64	soft	soft	ADJ
ejpam-4249	162	65	compact	compact	ADJ
ejpam-4249	162	66	.	.	PUNCT
ejpam-4249	163	1	on	on	ADP
ejpam-4249	163	2	the	the	DET
ejpam-4249	163	3	other	other	ADJ
ejpam-4249	163	4	hand	hand	NOUN
ejpam-4249	163	5	(	(	PUNCT
ejpam-4249	163	6	τ	τ	PROPN
ejpam-4249	163	7	,	,	PUNCT
ejpam-4249	163	8	κ	κ	NOUN
ejpam-4249	163	9	)	)	PUNCT
ejpam-4249	163	10	is	be	AUX
ejpam-4249	163	11	sβ	sβ	PRON
ejpam-4249	163	12	stable	stable	ADJ
ejpam-4249	163	13	since	since	SCONJ
ejpam-4249	163	14	every	every	DET
ejpam-4249	163	15	sβ	sβ	NOUN
ejpam-4249	163	16	closed	close	VERB
ejpam-4249	163	17	set	set	NOUN
ejpam-4249	163	18	is	be	AUX
ejpam-4249	163	19	closed	close	VERB
ejpam-4249	163	20	and	and	CCONJ
ejpam-4249	163	21	the	the	DET
ejpam-4249	163	22	only	only	ADJ
ejpam-4249	163	23	closed	closed	ADJ
ejpam-4249	163	24	sets	set	NOUN
ejpam-4249	163	25	ũe	ũe	ADP
ejpam-4249	163	26	and	and	CCONJ
ejpam-4249	163	27	φ	φ	NUM
ejpam-4249	163	28	which	which	PRON
ejpam-4249	163	29	is	be	AUX
ejpam-4249	163	30	sβ	sβ	ADP
ejpam-4249	163	31	compact	compact	ADJ
ejpam-4249	163	32	.	.	PUNCT
ejpam-4249	164	1	thirdly	thirdly	ADV
ejpam-4249	164	2	,	,	PUNCT
ejpam-4249	164	3	also	also	ADV
ejpam-4249	164	4	we	we	PRON
ejpam-4249	164	5	can	can	AUX
ejpam-4249	164	6	choose	choose	VERB
ejpam-4249	164	7	τ	τ	PROPN
ejpam-4249	164	8	and	and	CCONJ
ejpam-4249	164	9	κ	κ	X
ejpam-4249	164	10	such	such	ADJ
ejpam-4249	164	11	that	that	SCONJ
ejpam-4249	164	12	the	the	DET
ejpam-4249	164	13	soft	soft	ADJ
ejpam-4249	164	14	ditopological	ditopological	ADJ
ejpam-4249	164	15	space	space	NOUN
ejpam-4249	164	16	is	be	AUX
ejpam-4249	164	17	sβ	sβ	PART
ejpam-4249	164	18	costable	costable	NOUN
ejpam-4249	164	19	but	but	CCONJ
ejpam-4249	164	20	not	not	PART
ejpam-4249	164	21	sβ	sβ	PRON
ejpam-4249	164	22	compact	compact	ADJ
ejpam-4249	164	23	.	.	PUNCT
ejpam-4249	165	1	definition	definition	NOUN
ejpam-4249	165	2	14	14	NUM
ejpam-4249	165	3	.	.	PUNCT
ejpam-4249	166	1	a	a	DET
ejpam-4249	166	2	soft	soft	ADJ
ejpam-4249	166	3	ditopological	ditopological	ADJ
ejpam-4249	166	4	space	space	NOUN
ejpam-4249	166	5	is	be	AUX
ejpam-4249	166	6	called	call	VERB
ejpam-4249	166	7	sβ	sβ	DET
ejpam-4249	166	8	dicompact	dicompact	NOUN
ejpam-4249	166	9	if	if	SCONJ
ejpam-4249	166	10	it	it	PRON
ejpam-4249	166	11	is	be	AUX
ejpam-4249	166	12	sβ	sβ	ADP
ejpam-4249	166	13	compact	compact	ADJ
ejpam-4249	166	14	,	,	PUNCT
ejpam-4249	166	15	sβ	sβ	PROPN
ejpam-4249	166	16	cocompact	cocompact	NOUN
ejpam-4249	166	17	,	,	PUNCT
ejpam-4249	166	18	sβ	sβ	X
ejpam-4249	166	19	stable	stable	ADJ
ejpam-4249	166	20	and	and	CCONJ
ejpam-4249	166	21	sβ	sβ	NOUN
ejpam-4249	166	22	costable	costable	NOUN
ejpam-4249	166	23	.	.	PUNCT
ejpam-4249	167	1	proposition	proposition	NOUN
ejpam-4249	167	2	3	3	X
ejpam-4249	167	3	.	.	PUNCT
ejpam-4249	168	1	let	let	AUX
ejpam-4249	168	2	(	(	PUNCT
ejpam-4249	168	3	τ	τ	PROPN
ejpam-4249	168	4	,	,	PUNCT
ejpam-4249	168	5	κ	κ	NOUN
ejpam-4249	168	6	)	)	PUNCT
ejpam-4249	168	7	be	be	VERB
ejpam-4249	168	8	a	a	DET
ejpam-4249	168	9	soft	soft	ADJ
ejpam-4249	168	10	ditopology	ditopology	NOUN
ejpam-4249	168	11	on	on	ADP
ejpam-4249	168	12	ũe	ũe	PROPN
ejpam-4249	168	13	:	:	PUNCT
ejpam-4249	168	14	(	(	PUNCT
ejpam-4249	168	15	1	1	X
ejpam-4249	168	16	)	)	PUNCT
ejpam-4249	168	17	soft	soft	ADJ
ejpam-4249	168	18	β	β	X
ejpam-4249	168	19	compact	compact	ADJ
ejpam-4249	168	20	=	=	NOUN
ejpam-4249	168	21	⇒	⇒	VERB
ejpam-4249	169	1	strongly	strongly	ADV
ejpam-4249	169	2	soft	soft	ADJ
ejpam-4249	169	3	compact	compact	ADJ
ejpam-4249	169	4	=	=	NOUN
ejpam-4249	169	5	⇒	⇒	VERB
ejpam-4249	169	6	soft	soft	ADJ
ejpam-4249	169	7	compact	compact	ADJ
ejpam-4249	169	8	.	.	PUNCT
ejpam-4249	170	1	(	(	PUNCT
ejpam-4249	170	2	2	2	X
ejpam-4249	170	3	)	)	PUNCT
ejpam-4249	170	4	soft	soft	ADJ
ejpam-4249	170	5	β	β	X
ejpam-4249	170	6	cocompact	cocompact	NOUN
ejpam-4249	170	7	=	=	NOUN
ejpam-4249	170	8	⇒	⇒	VERB
ejpam-4249	170	9	strongly	strongly	ADV
ejpam-4249	170	10	soft	soft	ADJ
ejpam-4249	170	11	cocompact	cocompact	NOUN
ejpam-4249	170	12	=	=	SYM
ejpam-4249	170	13	⇒	⇒	VERB
ejpam-4249	170	14	soft	soft	ADJ
ejpam-4249	170	15	cocompact	cocompact	NOUN
ejpam-4249	170	16	.	.	PUNCT
ejpam-4249	171	1	proof	proof	NOUN
ejpam-4249	171	2	:	:	PUNCT
ejpam-4249	171	3	it	it	PRON
ejpam-4249	171	4	is	be	AUX
ejpam-4249	171	5	obvious	obvious	ADJ
ejpam-4249	171	6	,	,	PUNCT
ejpam-4249	171	7	since	since	SCONJ
ejpam-4249	171	8	every	every	DET
ejpam-4249	171	9	soft	soft	ADJ
ejpam-4249	171	10	open	open	ADJ
ejpam-4249	171	11	set	set	NOUN
ejpam-4249	171	12	is	be	AUX
ejpam-4249	171	13	soft	soft	ADJ
ejpam-4249	171	14	preopen	preopen	NOUN
ejpam-4249	171	15	and	and	CCONJ
ejpam-4249	171	16	every	every	DET
ejpam-4249	171	17	soft	soft	ADJ
ejpam-4249	171	18	closed	closed	ADJ
ejpam-4249	171	19	set	set	NOUN
ejpam-4249	171	20	is	be	AUX
ejpam-4249	171	21	soft	soft	ADJ
ejpam-4249	171	22	preclosed	preclose	VERB
ejpam-4249	171	23	.	.	PUNCT
ejpam-4249	172	1	proposition	proposition	NOUN
ejpam-4249	172	2	4	4	NUM
ejpam-4249	172	3	.	.	X
ejpam-4249	172	4	for	for	ADP
ejpam-4249	172	5	a	a	DET
ejpam-4249	172	6	soft	soft	ADJ
ejpam-4249	172	7	ditopological	ditopological	ADJ
ejpam-4249	172	8	space	space	NOUN
ejpam-4249	172	9	:	:	PUNCT
ejpam-4249	172	10	(	(	PUNCT
ejpam-4249	172	11	1	1	X
ejpam-4249	172	12	)	)	PUNCT
ejpam-4249	172	13	soft	soft	ADJ
ejpam-4249	172	14	β	β	X
ejpam-4249	172	15	stable	stable	ADJ
ejpam-4249	172	16	=	=	NOUN
ejpam-4249	172	17	⇒	⇒	NOUN
ejpam-4249	172	18	soft	soft	ADJ
ejpam-4249	172	19	strongly	strongly	ADV
ejpam-4249	172	20	stable	stable	ADJ
ejpam-4249	172	21	=	=	NOUN
ejpam-4249	172	22	⇒	⇒	X
ejpam-4249	172	23	soft	soft	ADJ
ejpam-4249	172	24	stable	stable	ADJ
ejpam-4249	172	25	.	.	PUNCT
ejpam-4249	173	1	(	(	PUNCT
ejpam-4249	173	2	2	2	X
ejpam-4249	173	3	)	)	PUNCT
ejpam-4249	173	4	soft	soft	ADJ
ejpam-4249	173	5	β	β	X
ejpam-4249	173	6	costable	costable	NOUN
ejpam-4249	173	7	=	=	AUX
ejpam-4249	173	8	⇒	⇒	VERB
ejpam-4249	173	9	strongly	strongly	ADV
ejpam-4249	173	10	soft	soft	ADJ
ejpam-4249	173	11	costable	costable	NOUN
ejpam-4249	173	12	=	=	PRON
ejpam-4249	173	13	⇒	⇒	VERB
ejpam-4249	173	14	soft	soft	ADJ
ejpam-4249	173	15	costable	costable	NOUN
ejpam-4249	173	16	.	.	PUNCT
ejpam-4249	174	1	moreover	moreover	ADV
ejpam-4249	174	2	,	,	PUNCT
ejpam-4249	174	3	the	the	DET
ejpam-4249	174	4	converse	converse	NOUN
ejpam-4249	174	5	is	be	AUX
ejpam-4249	174	6	not	not	PART
ejpam-4249	174	7	true	true	ADJ
ejpam-4249	174	8	in	in	ADP
ejpam-4249	174	9	general	general	ADJ
ejpam-4249	174	10	,	,	PUNCT
ejpam-4249	174	11	as	as	ADP
ejpam-4249	174	12	the	the	DET
ejpam-4249	174	13	following	follow	VERB
ejpam-4249	174	14	example	example	NOUN
ejpam-4249	174	15	:	:	PUNCT
ejpam-4249	174	16	proposition	proposition	NOUN
ejpam-4249	174	17	5	5	NUM
ejpam-4249	174	18	.	.	PUNCT
ejpam-4249	175	1	let	let	VERB
ejpam-4249	175	2	ω	ω	PRON
ejpam-4249	175	3	be	be	AUX
ejpam-4249	175	4	a	a	DET
ejpam-4249	175	5	complemented	complement	VERB
ejpam-4249	175	6	soft	soft	ADJ
ejpam-4249	175	7	ditopology	ditopology	NOUN
ejpam-4249	175	8	on	on	ADP
ejpam-4249	175	9	(	(	PUNCT
ejpam-4249	175	10	ũe	ũe	NOUN
ejpam-4249	175	11	)	)	PUNCT
ejpam-4249	175	12	c.	c.	NOUN
ejpam-4249	175	13	then	then	ADV
ejpam-4249	175	14	(	(	PUNCT
ejpam-4249	175	15	ũe	ũe	INTJ
ejpam-4249	175	16	,	,	PUNCT
ejpam-4249	175	17	ω	ω	PROPN
ejpam-4249	175	18	c	c	NOUN
ejpam-4249	175	19	)	)	PUNCT
ejpam-4249	175	20	is	be	AUX
ejpam-4249	175	21	soft	soft	ADJ
ejpam-4249	175	22	β	β	X
ejpam-4249	175	23	compact	compact	ADJ
ejpam-4249	175	24	if	if	SCONJ
ejpam-4249	176	1	and	and	CCONJ
ejpam-4249	176	2	only	only	ADV
ejpam-4249	176	3	if	if	SCONJ
ejpam-4249	176	4	it	it	PRON
ejpam-4249	176	5	is	be	AUX
ejpam-4249	176	6	soft	soft	ADJ
ejpam-4249	176	7	β	β	X
ejpam-4249	176	8	cocompact	cocompact	NOUN
ejpam-4249	176	9	.	.	PUNCT
ejpam-4249	177	1	proof	proof	NOUN
ejpam-4249	177	2	:	:	PUNCT
ejpam-4249	177	3	let	let	VERB
ejpam-4249	177	4	(	(	PUNCT
ejpam-4249	177	5	ũe	ũe	X
ejpam-4249	177	6	,	,	PUNCT
ejpam-4249	177	7	ω	ω	NOUN
ejpam-4249	177	8	)	)	PUNCT
ejpam-4249	177	9	be	be	AUX
ejpam-4249	177	10	a	a	DET
ejpam-4249	177	11	soft	soft	ADJ
ejpam-4249	177	12	β	β	X
ejpam-4249	177	13	compact	compact	NOUN
ejpam-4249	177	14	and	and	CCONJ
ejpam-4249	177	15	let	let	VERB
ejpam-4249	177	16	k	k	PROPN
ejpam-4249	178	1	=	=	PRON
ejpam-4249	178	2	{	{	PUNCT
ejpam-4249	178	3	κi	κi	NOUN
ejpam-4249	179	1	|	|	ADV
ejpam-4249	180	1	i	i	PRON
ejpam-4249	180	2	∈	∈	PROPN
ejpam-4249	180	3	j	j	PROPN
ejpam-4249	180	4	}	}	PUNCT
ejpam-4249	180	5	be	be	VERB
ejpam-4249	180	6	a	a	DET
ejpam-4249	180	7	family	family	NOUN
ejpam-4249	180	8	of	of	ADP
ejpam-4249	180	9	soft	soft	ADJ
ejpam-4249	180	10	β	β	X
ejpam-4249	180	11	closed	close	VERB
ejpam-4249	180	12	sets	set	NOUN
ejpam-4249	180	13	with	with	ADP
ejpam-4249	180	14	∩̃k	∩̃k	PROPN
ejpam-4249	180	15	=	=	SYM
ejpam-4249	180	16	φ	φ	PROPN
ejpam-4249	180	17	.	.	PUNCT
ejpam-4249	180	18	obvious	obvious	ADJ
ejpam-4249	180	19	g	g	PROPN
ejpam-4249	180	20	=	=	PUNCT
ejpam-4249	180	21	{	{	PUNCT
ejpam-4249	180	22	κi	κi	NOUN
ejpam-4249	181	1	|	|	ADV
ejpam-4249	181	2	i	i	PRON
ejpam-4249	181	3	∈	∈	PROPN
ejpam-4249	181	4	j}c	j}c	PROPN
ejpam-4249	181	5	is	be	AUX
ejpam-4249	181	6	a	a	DET
ejpam-4249	181	7	family	family	NOUN
ejpam-4249	181	8	of	of	ADP
ejpam-4249	181	9	soft	soft	ADJ
ejpam-4249	181	10	β	β	X
ejpam-4249	181	11	open	open	ADJ
ejpam-4249	181	12	sets	set	NOUN
ejpam-4249	181	13	.	.	PUNCT
ejpam-4249	182	1	moreover	moreover	ADV
ejpam-4249	182	2	,	,	PUNCT
ejpam-4249	182	3	∪̃g	∪̃g	X
ejpam-4249	182	4	=	=	SYM
ejpam-4249	182	5	∪̃{κi	∪̃{κi	PROPN
ejpam-4249	183	1	|	|	ADV
ejpam-4249	183	2	i	i	NOUN
ejpam-4249	183	3	∈	∈	PROPN
ejpam-4249	183	4	j}c	j}c	NOUN
ejpam-4249	183	5	=	=	SYM
ejpam-4249	183	6	ũe	ũe	PROPN
ejpam-4249	183	7	,	,	PUNCT
ejpam-4249	183	8	and	and	CCONJ
ejpam-4249	183	9	so	so	ADV
ejpam-4249	183	10	we	we	PRON
ejpam-4249	183	11	have	have	VERB
ejpam-4249	183	12	j	j	PROPN
ejpam-4249	183	13	8	8	NUM
ejpam-4249	183	14	⊆	⊆	NUM
ejpam-4249	183	15	j	j	PROPN
ejpam-4249	183	16	finite	finite	VERB
ejpam-4249	183	17	with	with	ADP
ejpam-4249	183	18	∪̃{κi	∪̃{κi	PROPN
ejpam-4249	184	1	|	|	ADV
ejpam-4249	184	2	i	i	PRON
ejpam-4249	184	3	∈	∈	PROPN
ejpam-4249	185	1	j	j	NOUN
ejpam-4249	185	2	8}c	8}c	NUM
ejpam-4249	186	1	=	=	SYM
ejpam-4249	186	2	ũe	ũe	INTJ
ejpam-4249	186	3	.	.	PUNCT
ejpam-4249	187	1	that	that	PRON
ejpam-4249	187	2	is	be	AUX
ejpam-4249	187	3	∩̃{κi	∩̃{κi	PUNCT
ejpam-4249	188	1	|	|	ADV
ejpam-4249	188	2	i	i	PRON
ejpam-4249	188	3	∈	∈	PROPN
ejpam-4249	188	4	j	j	NOUN
ejpam-4249	188	5	8	8	NUM
ejpam-4249	188	6	=	=	SYM
ejpam-4249	188	7	φ	φ	NUM
ejpam-4249	188	8	,	,	PUNCT
ejpam-4249	188	9	and	and	CCONJ
ejpam-4249	188	10	so	so	ADV
ejpam-4249	188	11	(	(	PUNCT
ejpam-4249	188	12	ũe	ũe	PROPN
ejpam-4249	188	13	,	,	PUNCT
ejpam-4249	188	14	ω	ω	NOUN
ejpam-4249	188	15	)	)	PUNCT
ejpam-4249	188	16	is	be	AUX
ejpam-4249	188	17	soft	soft	ADJ
ejpam-4249	188	18	β	β	X
ejpam-4249	188	19	cocompact	cocompact	NOUN
ejpam-4249	188	20	.	.	PUNCT
ejpam-4249	189	1	similarly	similarly	ADV
ejpam-4249	189	2	,	,	PUNCT
ejpam-4249	189	3	if	if	SCONJ
ejpam-4249	189	4	(	(	PUNCT
ejpam-4249	189	5	ũe	ũe	PROPN
ejpam-4249	189	6	,	,	PUNCT
ejpam-4249	189	7	ω	ω	NOUN
ejpam-4249	189	8	)	)	PUNCT
ejpam-4249	189	9	is	be	AUX
ejpam-4249	189	10	soft	soft	ADJ
ejpam-4249	189	11	β	β	X
ejpam-4249	189	12	compact	compact	NOUN
ejpam-4249	189	13	,	,	PUNCT
ejpam-4249	189	14	then	then	ADV
ejpam-4249	189	15	it	it	PRON
ejpam-4249	189	16	is	be	AUX
ejpam-4249	189	17	soft	soft	ADJ
ejpam-4249	189	18	β	β	X
ejpam-4249	189	19	compact	compact	ADJ
ejpam-4249	189	20	.	.	PUNCT
ejpam-4249	190	1	definition	definition	NOUN
ejpam-4249	190	2	15	15	NUM
ejpam-4249	190	3	.	.	PUNCT
ejpam-4249	191	1	a	a	DET
ejpam-4249	191	2	soft	soft	ADJ
ejpam-4249	191	3	ditopological	ditopological	ADJ
ejpam-4249	191	4	space	space	NOUN
ejpam-4249	191	5	will	will	AUX
ejpam-4249	191	6	be	be	AUX
ejpam-4249	191	7	called	call	VERB
ejpam-4249	191	8	soft	soft	ADJ
ejpam-4249	191	9	β	β	NOUN
ejpam-4249	191	10	dicompact	dicompact	NOUN
ejpam-4249	191	11	if	if	SCONJ
ejpam-4249	191	12	it	it	PRON
ejpam-4249	191	13	is	be	AUX
ejpam-4249	191	14	soft	soft	ADJ
ejpam-4249	191	15	β	β	X
ejpam-4249	191	16	compact	compact	ADJ
ejpam-4249	191	17	,	,	PUNCT
ejpam-4249	191	18	soft	soft	ADJ
ejpam-4249	191	19	β	β	NOUN
ejpam-4249	191	20	cocompact	cocompact	NOUN
ejpam-4249	191	21	,	,	PUNCT
ejpam-4249	191	22	soft	soft	ADJ
ejpam-4249	191	23	β	β	SYM
ejpam-4249	191	24	stable	stable	ADJ
ejpam-4249	191	25	and	and	CCONJ
ejpam-4249	191	26	soft	soft	ADJ
ejpam-4249	191	27	β	β	X
ejpam-4249	191	28	costable	costable	NOUN
ejpam-4249	191	29	.	.	PUNCT
ejpam-4249	191	30	example	example	NOUN
ejpam-4249	192	1	4	4	NUM
ejpam-4249	192	2	.	.	PUNCT
ejpam-4249	192	3	(	(	PUNCT
ejpam-4249	192	4	1	1	X
ejpam-4249	192	5	)	)	PUNCT
ejpam-4249	192	6	let	let	VERB
ejpam-4249	192	7	(	(	PUNCT
ejpam-4249	192	8	τ	τ	PROPN
ejpam-4249	192	9	,	,	PUNCT
ejpam-4249	192	10	κ	κ	NOUN
ejpam-4249	192	11	)	)	PUNCT
ejpam-4249	192	12	be	be	VERB
ejpam-4249	192	13	a	a	DET
ejpam-4249	192	14	soft	soft	ADJ
ejpam-4249	192	15	ditopological	ditopological	ADJ
ejpam-4249	192	16	space	space	NOUN
ejpam-4249	192	17	on	on	ADP
ejpam-4249	192	18	ũe	ũe	ADP
ejpam-4249	192	19	such	such	ADJ
ejpam-4249	192	20	that	that	DET
ejpam-4249	192	21	u	u	NOUN
ejpam-4249	192	22	=	=	NOUN
ejpam-4249	192	23	{	{	PUNCT
ejpam-4249	192	24	u1	u1	NOUN
ejpam-4249	192	25	,	,	PUNCT
ejpam-4249	192	26	u2	u2	NOUN
ejpam-4249	192	27	,	,	PUNCT
ejpam-4249	192	28	u3	u3	NOUN
ejpam-4249	192	29	}	}	PUNCT
ejpam-4249	192	30	,	,	PUNCT
ejpam-4249	192	31	e	e	X
ejpam-4249	192	32	=	=	PRON
ejpam-4249	192	33	{	{	PUNCT
ejpam-4249	192	34	e1	e1	PROPN
ejpam-4249	192	35	,	,	PUNCT
ejpam-4249	192	36	e2	e2	PROPN
ejpam-4249	192	37	}	}	PUNCT
ejpam-4249	192	38	,	,	PUNCT
ejpam-4249	192	39	ũe	ũe	ADP
ejpam-4249	192	40	∈	∈	PROPN
ejpam-4249	192	41	s	s	NOUN
ejpam-4249	192	42	,	,	PUNCT
ejpam-4249	192	43	ũe	ũe	ADP
ejpam-4249	192	44	=	=	PUNCT
ejpam-4249	192	45	{	{	PUNCT
ejpam-4249	192	46	(	(	PUNCT
ejpam-4249	192	47	e1	e1	NOUN
ejpam-4249	192	48	,	,	PUNCT
ejpam-4249	192	49	{	{	PUNCT
ejpam-4249	192	50	u1	u1	NOUN
ejpam-4249	192	51	,	,	PUNCT
ejpam-4249	192	52	u2	u2	NOUN
ejpam-4249	192	53	}	}	PUNCT
ejpam-4249	192	54	)	)	PUNCT
ejpam-4249	192	55	,	,	PUNCT
ejpam-4249	192	56	(	(	PUNCT
ejpam-4249	192	57	e2	e2	PROPN
ejpam-4249	192	58	,	,	PUNCT
ejpam-4249	192	59	{	{	PUNCT
ejpam-4249	192	60	u2	u2	NOUN
ejpam-4249	192	61	,	,	PUNCT
ejpam-4249	192	62	u3	u3	NOUN
ejpam-4249	192	63	}	}	PUNCT
ejpam-4249	192	64	)	)	PUNCT
ejpam-4249	192	65	}	}	PUNCT
ejpam-4249	192	66	,	,	PUNCT
ejpam-4249	192	67	τ	τ	X
ejpam-4249	192	68	=	=	X
ejpam-4249	192	69	{	{	PUNCT
ejpam-4249	192	70	ũe	ũe	PROPN
ejpam-4249	192	71	,	,	PUNCT
ejpam-4249	192	72	φ	φ	NOUN
ejpam-4249	192	73	}	}	PUNCT
ejpam-4249	192	74	,	,	PUNCT
ejpam-4249	192	75	{	{	PUNCT
ejpam-4249	192	76	(	(	PUNCT
ejpam-4249	192	77	e1	e1	NOUN
ejpam-4249	192	78	,	,	PUNCT
ejpam-4249	192	79	{	{	PUNCT
ejpam-4249	192	80	u1	u1	NOUN
ejpam-4249	192	81	,	,	PUNCT
ejpam-4249	192	82	u2	u2	NOUN
ejpam-4249	192	83	}	}	PUNCT
ejpam-4249	192	84	)	)	PUNCT
ejpam-4249	192	85	,	,	PUNCT
ejpam-4249	192	86	(	(	PUNCT
ejpam-4249	192	87	e2	e2	PROPN
ejpam-4249	192	88	,	,	PUNCT
ejpam-4249	192	89	{	{	PUNCT
ejpam-4249	192	90	u3	u3	NOUN
ejpam-4249	192	91	}	}	PUNCT
ejpam-4249	192	92	)	)	PUNCT
ejpam-4249	192	93	}	}	PUNCT
ejpam-4249	192	94	and	and	CCONJ
ejpam-4249	192	95	κ	κ	X
ejpam-4249	192	96	=	=	SYM
ejpam-4249	192	97	{	{	PUNCT
ejpam-4249	192	98	φ	φ	NOUN
ejpam-4249	192	99	,	,	PUNCT
ejpam-4249	192	100	ũe	ũe	NOUN
ejpam-4249	192	101	}	}	PUNCT
ejpam-4249	192	102	.	.	PUNCT
ejpam-4249	193	1	since	since	SCONJ
ejpam-4249	193	2	the	the	DET
ejpam-4249	193	3	only	only	ADJ
ejpam-4249	193	4	soft	soft	ADJ
ejpam-4249	193	5	β	β	X
ejpam-4249	193	6	open	open	ADJ
ejpam-4249	193	7	sets	set	NOUN
ejpam-4249	193	8	are	be	AUX
ejpam-4249	193	9	ũe	ũe	ADP
ejpam-4249	193	10	,	,	PUNCT
ejpam-4249	193	11	φ	φ	PROPN
ejpam-4249	193	12	in	in	ADP
ejpam-4249	193	13	soft	soft	ADJ
ejpam-4249	193	14	ditopology	ditopology	NOUN
ejpam-4249	193	15	(	(	PUNCT
ejpam-4249	193	16	ũe	ũe	INTJ
ejpam-4249	193	17	,	,	PUNCT
ejpam-4249	193	18	τ	τ	PROPN
ejpam-4249	193	19	,	,	PUNCT
ejpam-4249	193	20	κ	κ	NOUN
ejpam-4249	193	21	)	)	PUNCT
ejpam-4249	193	22	,	,	PUNCT
ejpam-4249	193	23	we	we	PRON
ejpam-4249	193	24	have	have	VERB
ejpam-4249	193	25	that	that	SCONJ
ejpam-4249	193	26	it	it	PRON
ejpam-4249	193	27	is	be	AUX
ejpam-4249	193	28	soft	soft	ADJ
ejpam-4249	193	29	β	β	X
ejpam-4249	193	30	compact	compact	ADJ
ejpam-4249	193	31	.	.	PUNCT
ejpam-4249	194	1	(	(	PUNCT
ejpam-4249	194	2	2	2	X
ejpam-4249	194	3	)	)	PUNCT
ejpam-4249	194	4	let	let	VERB
ejpam-4249	194	5	τ	τ	PROPN
ejpam-4249	194	6	=	=	PRON
ejpam-4249	194	7	{	{	PUNCT
ejpam-4249	194	8	ũe	ũe	PROPN
ejpam-4249	194	9	,	,	PUNCT
ejpam-4249	194	10	φ	φ	PROPN
ejpam-4249	194	11	}	}	PUNCT
ejpam-4249	194	12	and	and	CCONJ
ejpam-4249	194	13	κ	κ	X
ejpam-4249	194	14	=	=	SYM
ejpam-4249	194	15	{	{	PUNCT
ejpam-4249	194	16	φ	φ	PROPN
ejpam-4249	194	17	,	,	PUNCT
ejpam-4249	194	18	ũe	ũe	INTJ
ejpam-4249	194	19	,	,	PUNCT
ejpam-4249	194	20	{	{	PUNCT
ejpam-4249	194	21	(	(	PUNCT
ejpam-4249	194	22	e1	e1	NOUN
ejpam-4249	194	23	,	,	PUNCT
ejpam-4249	194	24	{	{	PUNCT
ejpam-4249	194	25	u1	u1	NOUN
ejpam-4249	194	26	,	,	PUNCT
ejpam-4249	194	27	u2	u2	NOUN
ejpam-4249	194	28	}	}	PUNCT
ejpam-4249	194	29	)	)	PUNCT
ejpam-4249	194	30	,	,	PUNCT
ejpam-4249	194	31	(	(	PUNCT
ejpam-4249	194	32	e2	e2	PROPN
ejpam-4249	194	33	,	,	PUNCT
ejpam-4249	194	34	{	{	PUNCT
ejpam-4249	194	35	u3	u3	NOUN
ejpam-4249	194	36	}	}	PUNCT
ejpam-4249	194	37	)	)	PUNCT
ejpam-4249	194	38	}	}	PUNCT
ejpam-4249	194	39	,	,	PUNCT
ejpam-4249	194	40	then	then	ADV
ejpam-4249	194	41	the	the	DET
ejpam-4249	194	42	soft	soft	ADJ
ejpam-4249	194	43	ditopology	ditopology	NOUN
ejpam-4249	194	44	(	(	PUNCT
ejpam-4249	194	45	ũe	ũe	INTJ
ejpam-4249	194	46	,	,	PUNCT
ejpam-4249	194	47	τ	τ	PROPN
ejpam-4249	194	48	,	,	PUNCT
ejpam-4249	194	49	κ	κ	NOUN
ejpam-4249	194	50	)	)	PUNCT
ejpam-4249	194	51	is	be	AUX
ejpam-4249	194	52	soft	soft	ADJ
ejpam-4249	194	53	β	β	NOUN
ejpam-4249	194	54	cocompact	cocompact	NOUN
ejpam-4249	194	55	but	but	CCONJ
ejpam-4249	194	56	not	not	PART
ejpam-4249	194	57	soft	soft	ADJ
ejpam-4249	194	58	β	β	X
ejpam-4249	194	59	compact	compact	ADJ
ejpam-4249	194	60	.	.	PUNCT
ejpam-4249	195	1	this	this	DET
ejpam-4249	195	2	example	example	NOUN
ejpam-4249	195	3	show	show	VERB
ejpam-4249	195	4	that	that	SCONJ
ejpam-4249	195	5	in	in	ADP
ejpam-4249	195	6	general	general	ADJ
ejpam-4249	195	7	soft	soft	ADJ
ejpam-4249	195	8	β	β	X
ejpam-4249	195	9	compact	compact	ADJ
ejpam-4249	195	10	and	and	CCONJ
ejpam-4249	195	11	soft	soft	ADJ
ejpam-4249	195	12	β	β	PROPN
ejpam-4249	195	13	cocompact	cocompact	NOUN
ejpam-4249	195	14	are	be	AUX
ejpam-4249	195	15	independent	independent	ADJ
ejpam-4249	195	16	.	.	PUNCT
ejpam-4249	196	1	definition	definition	NOUN
ejpam-4249	196	2	16	16	NUM
ejpam-4249	196	3	.	.	PUNCT
ejpam-4249	197	1	let	let	VERB
ejpam-4249	197	2	ω1	ω1	PROPN
ejpam-4249	197	3	=	=	SYM
ejpam-4249	197	4	(	(	PUNCT
ejpam-4249	197	5	τ1	τ1	PROPN
ejpam-4249	197	6	,	,	PUNCT
ejpam-4249	197	7	κ1	κ1	NOUN
ejpam-4249	197	8	)	)	PUNCT
ejpam-4249	197	9	and	and	CCONJ
ejpam-4249	197	10	ω2	ω2	NOUN
ejpam-4249	197	11	=	=	SYM
ejpam-4249	197	12	(	(	PUNCT
ejpam-4249	197	13	τ2	τ2	PROPN
ejpam-4249	197	14	,	,	PUNCT
ejpam-4249	197	15	κ2	κ2	NOUN
ejpam-4249	197	16	)	)	PUNCT
ejpam-4249	197	17	are	be	AUX
ejpam-4249	197	18	two	two	NUM
ejpam-4249	197	19	soft	soft	ADJ
ejpam-4249	197	20	ditopological	ditopological	ADJ
ejpam-4249	197	21	spaces	space	NOUN
ejpam-4249	197	22	on	on	ADP
ejpam-4249	197	23	ũe.then	ũe.then	NUM
ejpam-4249	197	24	ω2	ω2	ADJ
ejpam-4249	197	25	is	be	AUX
ejpam-4249	197	26	called	call	VERB
ejpam-4249	197	27	coarser	coarse	ADJ
ejpam-4249	197	28	than	than	ADP
ejpam-4249	197	29	ω1	ω1	PROPN
ejpam-4249	197	30	(	(	PUNCT
ejpam-4249	197	31	denoted	denote	VERB
ejpam-4249	197	32	by	by	ADP
ejpam-4249	197	33	ω2	ω2	ADJ
ejpam-4249	197	34	⊆̃	⊆̃	PROPN
ejpam-4249	197	35	ω1	ω1	PROPN
ejpam-4249	197	36	if	if	SCONJ
ejpam-4249	197	37	f	f	PROPN
ejpam-4249	197	38	∈	∈	PROPN
ejpam-4249	197	39	τ1	τ1	NOUN
ejpam-4249	197	40	whenever	whenever	SCONJ
ejpam-4249	197	41	f	f	PROPN
ejpam-4249	197	42	∈	∈	PROPN
ejpam-4249	197	43	τ2	τ2	PROPN
ejpam-4249	197	44	and	and	CCONJ
ejpam-4249	197	45	h	h	NOUN
ejpam-4249	197	46	∈	∈	PROPN
ejpam-4249	197	47	κ1	κ1	NOUN
ejpam-4249	197	48	whenever	whenever	SCONJ
ejpam-4249	197	49	f	f	PROPN
ejpam-4249	197	50	∈	∈	PROPN
ejpam-4249	197	51	κ2	κ2	PROPN
ejpam-4249	197	52	.	.	PUNCT
ejpam-4249	198	1	theorem	theorem	VERB
ejpam-4249	198	2	3	3	NUM
ejpam-4249	198	3	.	.	PUNCT
ejpam-4249	199	1	if	if	SCONJ
ejpam-4249	199	2	(	(	PUNCT
ejpam-4249	199	3	ũe	ũe	PROPN
ejpam-4249	199	4	,	,	PUNCT
ejpam-4249	199	5	ω1	ω1	PROPN
ejpam-4249	199	6	)	)	PUNCT
ejpam-4249	199	7	and	and	CCONJ
ejpam-4249	199	8	(	(	PUNCT
ejpam-4249	199	9	ũe	ũe	X
ejpam-4249	199	10	,	,	PUNCT
ejpam-4249	199	11	ω2	ω2	ADJ
ejpam-4249	199	12	)	)	PUNCT
ejpam-4249	199	13	are	be	AUX
ejpam-4249	199	14	two	two	NUM
ejpam-4249	199	15	soft	soft	ADJ
ejpam-4249	199	16	ditopological	ditopological	ADJ
ejpam-4249	199	17	spaces	space	NOUN
ejpam-4249	199	18	.	.	PUNCT
ejpam-4249	200	1	then	then	ADV
ejpam-4249	200	2	(	(	PUNCT
ejpam-4249	200	3	ũe	ũe	X
ejpam-4249	200	4	,	,	PUNCT
ejpam-4249	200	5	ω1∩̃	ω1∩̃	PROPN
ejpam-4249	200	6	ω2	ω2	ADJ
ejpam-4249	200	7	)	)	PUNCT
ejpam-4249	200	8	is	be	AUX
ejpam-4249	200	9	a	a	DET
ejpam-4249	200	10	soft	soft	ADJ
ejpam-4249	200	11	ditopological	ditopological	ADJ
ejpam-4249	200	12	space	space	NOUN
ejpam-4249	200	13	.	.	PUNCT
ejpam-4249	201	1	r.	r.	PROPN
ejpam-4249	201	2	abu	abu	PROPN
ejpam-4249	201	3	-	-	PUNCT
ejpam-4249	201	4	gdairi	gdairi	PROPN
ejpam-4249	201	5	,	,	PUNCT
ejpam-4249	201	6	a.	a.	PROPN
ejpam-4249	201	7	a.	a.	PROPN
ejpam-4249	201	8	azzam	azzam	PROPN
ejpam-4249	201	9	,	,	PUNCT
ejpam-4249	201	10	i.	i.	PROPN
ejpam-4249	201	11	noaman	noaman	PROPN
ejpam-4249	201	12	/	/	SYM
ejpam-4249	201	13	eur	eur	PROPN
ejpam-4249	201	14	.	.	PUNCT
ejpam-4249	202	1	j.	j.	PROPN
ejpam-4249	202	2	pure	pure	PROPN
ejpam-4249	202	3	appl	appl	PROPN
ejpam-4249	202	4	.	.	PROPN
ejpam-4249	202	5	math	math	PROPN
ejpam-4249	202	6	,	,	PUNCT
ejpam-4249	202	7	15	15	NUM
ejpam-4249	202	8	(	(	PUNCT
ejpam-4249	202	9	1	1	NUM
ejpam-4249	202	10	)	)	PUNCT
ejpam-4249	202	11	(	(	PUNCT
ejpam-4249	202	12	2022	2022	NUM
ejpam-4249	202	13	)	)	PUNCT
ejpam-4249	202	14	,	,	PUNCT
ejpam-4249	202	15	126	126	NUM
ejpam-4249	202	16	-	-	SYM
ejpam-4249	202	17	134	134	NUM
ejpam-4249	202	18	132	132	NUM
ejpam-4249	202	19	proof	proof	NOUN
ejpam-4249	202	20	:	:	PUNCT
ejpam-4249	202	21	since	since	SCONJ
ejpam-4249	202	22	ω1	ω1	PROPN
ejpam-4249	202	23	=	=	SYM
ejpam-4249	202	24	(	(	PUNCT
ejpam-4249	202	25	τ1	τ1	NOUN
ejpam-4249	202	26	,	,	PUNCT
ejpam-4249	202	27	κ1	κ1	NOUN
ejpam-4249	202	28	)	)	PUNCT
ejpam-4249	202	29	and	and	CCONJ
ejpam-4249	202	30	ω2	ω2	NOUN
ejpam-4249	202	31	=	=	SYM
ejpam-4249	202	32	(	(	PUNCT
ejpam-4249	202	33	τ2	τ2	PROPN
ejpam-4249	202	34	,	,	PUNCT
ejpam-4249	202	35	κ2	κ2	NOUN
ejpam-4249	202	36	)	)	PUNCT
ejpam-4249	202	37	are	be	AUX
ejpam-4249	202	38	two	two	NUM
ejpam-4249	202	39	a	a	DET
ejpam-4249	202	40	soft	soft	ADJ
ejpam-4249	202	41	ditopological	ditopological	ADJ
ejpam-4249	202	42	space	space	NOUN
ejpam-4249	202	43	on	on	ADP
ejpam-4249	202	44	ũe	ũe	ADP
ejpam-4249	202	45	then	then	ADV
ejpam-4249	202	46	(	(	PUNCT
ejpam-4249	202	47	ũe	ũe	NOUN
ejpam-4249	202	48	,	,	PUNCT
ejpam-4249	202	49	τ1	τ1	NOUN
ejpam-4249	202	50	)	)	PUNCT
ejpam-4249	202	51	and	and	CCONJ
ejpam-4249	202	52	(	(	PUNCT
ejpam-4249	202	53	ũe	ũe	NOUN
ejpam-4249	202	54	,	,	PUNCT
ejpam-4249	202	55	τ2	τ2	PROPN
ejpam-4249	202	56	)	)	PUNCT
ejpam-4249	202	57	are	be	AUX
ejpam-4249	202	58	two	two	NUM
ejpam-4249	202	59	soft	soft	ADJ
ejpam-4249	202	60	topological	topological	ADJ
ejpam-4249	202	61	space	space	NOUN
ejpam-4249	202	62	⇒	⇒	NOUN
ejpam-4249	202	63	(	(	PUNCT
ejpam-4249	202	64	ũe	ũe	INTJ
ejpam-4249	202	65	,	,	PUNCT
ejpam-4249	202	66	(	(	PUNCT
ejpam-4249	202	67	τ1∩̃τ2	τ1∩̃τ2	ADJ
ejpam-4249	202	68	)	)	PUNCT
ejpam-4249	202	69	)	)	PUNCT
ejpam-4249	203	1	is	be	AUX
ejpam-4249	203	2	a	a	DET
ejpam-4249	203	3	soft	soft	ADJ
ejpam-4249	203	4	topological	topological	ADJ
ejpam-4249	203	5	space	space	NOUN
ejpam-4249	203	6	(	(	PUNCT
ejpam-4249	203	7	1	1	NUM
ejpam-4249	203	8	)	)	PUNCT
ejpam-4249	203	9	.	.	PUNCT
ejpam-4249	204	1	also	also	ADV
ejpam-4249	204	2	,	,	PUNCT
ejpam-4249	204	3	(	(	PUNCT
ejpam-4249	204	4	ũe	ũe	NOUN
ejpam-4249	204	5	,	,	PUNCT
ejpam-4249	204	6	κ1	κ1	NOUN
ejpam-4249	204	7	)	)	PUNCT
ejpam-4249	204	8	and	and	CCONJ
ejpam-4249	204	9	(	(	PUNCT
ejpam-4249	204	10	ũe	ũe	X
ejpam-4249	204	11	,	,	PUNCT
ejpam-4249	204	12	κ2	κ2	PROPN
ejpam-4249	204	13	)	)	PUNCT
ejpam-4249	204	14	are	be	AUX
ejpam-4249	204	15	two	two	NUM
ejpam-4249	204	16	a	a	DET
ejpam-4249	204	17	soft	soft	ADJ
ejpam-4249	204	18	cotopological	cotopological	ADJ
ejpam-4249	204	19	space	space	NOUN
ejpam-4249	204	20	⇒	⇒	NOUN
ejpam-4249	204	21	(	(	PUNCT
ejpam-4249	204	22	ũe	ũe	INTJ
ejpam-4249	204	23	,	,	PUNCT
ejpam-4249	204	24	(	(	PUNCT
ejpam-4249	204	25	κ1∩̃κ2	κ1∩̃κ2	ADJ
ejpam-4249	204	26	)	)	PUNCT
ejpam-4249	204	27	)	)	PUNCT
ejpam-4249	204	28	is	be	AUX
ejpam-4249	204	29	a	a	DET
ejpam-4249	204	30	soft	soft	ADJ
ejpam-4249	204	31	ctopological	ctopological	ADJ
ejpam-4249	204	32	space	space	NOUN
ejpam-4249	204	33	(	(	PUNCT
ejpam-4249	204	34	2	2	NUM
ejpam-4249	204	35	)	)	PUNCT
ejpam-4249	204	36	.	.	PUNCT
ejpam-4249	205	1	from	from	ADP
ejpam-4249	205	2	(	(	PUNCT
ejpam-4249	205	3	1	1	NUM
ejpam-4249	205	4	)	)	PUNCT
ejpam-4249	205	5	and	and	CCONJ
ejpam-4249	205	6	(	(	PUNCT
ejpam-4249	205	7	2	2	NUM
ejpam-4249	205	8	)	)	PUNCT
ejpam-4249	205	9	,	,	PUNCT
ejpam-4249	205	10	we	we	PRON
ejpam-4249	205	11	get	get	VERB
ejpam-4249	205	12	(	(	PUNCT
ejpam-4249	205	13	ũe	ũe	NOUN
ejpam-4249	205	14	,	,	PUNCT
ejpam-4249	205	15	ω1	ω1	PROPN
ejpam-4249	205	16	)	)	PUNCT
ejpam-4249	205	17	and	and	CCONJ
ejpam-4249	205	18	(	(	PUNCT
ejpam-4249	205	19	ũe	ũe	X
ejpam-4249	205	20	,	,	PUNCT
ejpam-4249	205	21	ω2	ω2	ADJ
ejpam-4249	205	22	)	)	PUNCT
ejpam-4249	205	23	are	be	AUX
ejpam-4249	205	24	two	two	NUM
ejpam-4249	205	25	soft	soft	ADJ
ejpam-4249	205	26	ditopological	ditopological	ADJ
ejpam-4249	205	27	spaces	space	NOUN
ejpam-4249	205	28	.	.	PUNCT
ejpam-4249	206	1	3	3	X
ejpam-4249	206	2	.	.	NOUN
ejpam-4249	206	3	soft	soft	ADJ
ejpam-4249	206	4	β	β	ADP
ejpam-4249	206	5	continuous	continuous	ADJ
ejpam-4249	206	6	mappings	mapping	NOUN
ejpam-4249	206	7	definition	definition	NOUN
ejpam-4249	206	8	17	17	NUM
ejpam-4249	206	9	.	.	PUNCT
ejpam-4249	207	1	let	let	AUX
ejpam-4249	207	2	(	(	PUNCT
ejpam-4249	207	3	ũe	ũe	X
ejpam-4249	207	4	,	,	PUNCT
ejpam-4249	207	5	ω1	ω1	PROPN
ejpam-4249	207	6	)	)	PUNCT
ejpam-4249	207	7	and	and	CCONJ
ejpam-4249	207	8	(	(	PUNCT
ejpam-4249	207	9	ṽe	ṽe	ADV
ejpam-4249	207	10	,	,	PUNCT
ejpam-4249	207	11	ω2	ω2	NUM
ejpam-4249	207	12	)	)	PUNCT
ejpam-4249	207	13	be	be	VERB
ejpam-4249	207	14	two	two	NUM
ejpam-4249	207	15	soft	soft	ADJ
ejpam-4249	207	16	ditopological	ditopological	ADJ
ejpam-4249	207	17	spaces	space	NOUN
ejpam-4249	207	18	.	.	PUNCT
ejpam-4249	208	1	a	a	DET
ejpam-4249	208	2	soft	soft	ADJ
ejpam-4249	208	3	function	function	NOUN
ejpam-4249	208	4	(	(	PUNCT
ejpam-4249	208	5	ϕ,ψ	ϕ,ψ	NOUN
ejpam-4249	208	6	)	)	PUNCT
ejpam-4249	208	7	:	:	PUNCT
ejpam-4249	208	8	(	(	PUNCT
ejpam-4249	208	9	ũe	ũe	X
ejpam-4249	208	10	,	,	PUNCT
ejpam-4249	208	11	ω1	ω1	PROPN
ejpam-4249	208	12	)	)	PUNCT
ejpam-4249	208	13	→	→	SYM
ejpam-4249	208	14	(	(	PUNCT
ejpam-4249	208	15	ṽe	ṽe	ADV
ejpam-4249	208	16	,	,	PUNCT
ejpam-4249	208	17	ω2	ω2	NUM
ejpam-4249	208	18	)	)	PUNCT
ejpam-4249	208	19	where	where	SCONJ
ejpam-4249	208	20	ϕ	ϕ	NOUN
ejpam-4249	208	21	:	:	PUNCT
ejpam-4249	208	22	(	(	PUNCT
ejpam-4249	208	23	ũe	ũe	NOUN
ejpam-4249	208	24	,	,	PUNCT
ejpam-4249	208	25	τ1	τ1	NOUN
ejpam-4249	208	26	)	)	PUNCT
ejpam-4249	208	27	→	→	SYM
ejpam-4249	208	28	(	(	PUNCT
ejpam-4249	208	29	ṽe	ṽe	ADV
ejpam-4249	208	30	,	,	PUNCT
ejpam-4249	208	31	,	,	PUNCT
ejpam-4249	208	32	τ2	τ2	PROPN
ejpam-4249	208	33	)	)	PUNCT
ejpam-4249	208	34	and	and	CCONJ
ejpam-4249	208	35	ψ	ψ	X
ejpam-4249	208	36	:	:	PUNCT
ejpam-4249	208	37	(	(	PUNCT
ejpam-4249	208	38	ũe	ũe	X
ejpam-4249	208	39	,	,	PUNCT
ejpam-4249	208	40	κ1	κ1	NOUN
ejpam-4249	208	41	)	)	PUNCT
ejpam-4249	208	42	→	→	SYM
ejpam-4249	208	43	(	(	PUNCT
ejpam-4249	208	44	ṽe	ṽe	ADV
ejpam-4249	208	45	,	,	PUNCT
ejpam-4249	208	46	κ2	κ2	PROPN
ejpam-4249	208	47	)	)	PUNCT
ejpam-4249	208	48	then	then	ADV
ejpam-4249	208	49	,	,	PUNCT
ejpam-4249	208	50	a	a	DET
ejpam-4249	208	51	mapping	mapping	NOUN
ejpam-4249	208	52	(	(	PUNCT
ejpam-4249	208	53	ϕ,ψ	ϕ,ψ	NOUN
ejpam-4249	208	54	)	)	PUNCT
ejpam-4249	208	55	is	be	AUX
ejpam-4249	208	56	called	call	VERB
ejpam-4249	208	57	continuous	continuous	ADJ
ejpam-4249	208	58	function	function	NOUN
ejpam-4249	208	59	at	at	ADP
ejpam-4249	208	60	a	a	DET
ejpam-4249	208	61	soft	soft	ADJ
ejpam-4249	208	62	point	point	NOUN
ejpam-4249	208	63	xp	xp	INTJ
ejpam-4249	208	64	∈	∈	PROPN
ejpam-4249	208	65	ũe	ũe	ADP
ejpam-4249	208	66	if	if	SCONJ
ejpam-4249	208	67	ϕ	ϕ	NOUN
ejpam-4249	208	68	:	:	PUNCT
ejpam-4249	208	69	(	(	PUNCT
ejpam-4249	208	70	ũe	ũe	NOUN
ejpam-4249	208	71	,	,	PUNCT
ejpam-4249	208	72	τ1	τ1	NOUN
ejpam-4249	208	73	)	)	PUNCT
ejpam-4249	208	74	→	→	SYM
ejpam-4249	208	75	(	(	PUNCT
ejpam-4249	208	76	ṽe	ṽe	ADV
ejpam-4249	208	77	,	,	PUNCT
ejpam-4249	208	78	τ2	τ2	PROPN
ejpam-4249	208	79	)	)	PUNCT
ejpam-4249	208	80	is	be	AUX
ejpam-4249	208	81	continuous	continuous	ADJ
ejpam-4249	208	82	function	function	NOUN
ejpam-4249	208	83	at	at	ADP
ejpam-4249	208	84	xp	xp	PROPN
ejpam-4249	208	85	,	,	PUNCT
ejpam-4249	208	86	and	and	CCONJ
ejpam-4249	208	87	ψ	ψ	X
ejpam-4249	208	88	:	:	PUNCT
ejpam-4249	208	89	(	(	PUNCT
ejpam-4249	208	90	ũe	ũe	X
ejpam-4249	208	91	,	,	PUNCT
ejpam-4249	208	92	κ1	κ1	NOUN
ejpam-4249	208	93	)	)	PUNCT
ejpam-4249	208	94	→	→	SYM
ejpam-4249	208	95	(	(	PUNCT
ejpam-4249	208	96	ṽe	ṽe	ADV
ejpam-4249	208	97	,	,	PUNCT
ejpam-4249	208	98	κ2	κ2	PROPN
ejpam-4249	208	99	)	)	PUNCT
ejpam-4249	208	100	is	be	AUX
ejpam-4249	208	101	continuous	continuous	ADJ
ejpam-4249	208	102	function	function	NOUN
ejpam-4249	208	103	at	at	ADP
ejpam-4249	208	104	xp	xp	PROPN
ejpam-4249	208	105	.	.	PUNCT
ejpam-4249	208	106	definition	definition	NOUN
ejpam-4249	208	107	18	18	NUM
ejpam-4249	208	108	.	.	PUNCT
ejpam-4249	209	1	a	a	DET
ejpam-4249	209	2	soft	soft	ADJ
ejpam-4249	209	3	function	function	NOUN
ejpam-4249	209	4	γ	γ	X
ejpam-4249	209	5	=	=	SYM
ejpam-4249	209	6	(	(	PUNCT
ejpam-4249	209	7	ϕ,ψ	ϕ,ψ	PROPN
ejpam-4249	209	8	)	)	PUNCT
ejpam-4249	209	9	:	:	PUNCT
ejpam-4249	209	10	(	(	PUNCT
ejpam-4249	209	11	ũe	ũe	X
ejpam-4249	209	12	,	,	PUNCT
ejpam-4249	209	13	ω1	ω1	PROPN
ejpam-4249	209	14	)	)	PUNCT
ejpam-4249	209	15	→	→	SYM
ejpam-4249	209	16	(	(	PUNCT
ejpam-4249	209	17	ṽe	ṽe	ADV
ejpam-4249	209	18	,	,	PUNCT
ejpam-4249	209	19	ω2	ω2	NUM
ejpam-4249	209	20	)	)	PUNCT
ejpam-4249	209	21	is	be	AUX
ejpam-4249	209	22	soft	soft	ADJ
ejpam-4249	209	23	continuous	continuous	ADJ
ejpam-4249	209	24	if	if	SCONJ
ejpam-4249	210	1	and	and	CCONJ
ejpam-4249	210	2	only	only	ADV
ejpam-4249	210	3	if	if	SCONJ
ejpam-4249	210	4	the	the	DET
ejpam-4249	210	5	inverse	inverse	ADJ
ejpam-4249	210	6	image	image	NOUN
ejpam-4249	210	7	of	of	ADP
ejpam-4249	210	8	soft	soft	ADJ
ejpam-4249	210	9	open	open	NOUN
ejpam-4249	210	10	in	in	ADP
ejpam-4249	210	11	ω2	ω2	ADJ
ejpam-4249	210	12	is	be	AUX
ejpam-4249	210	13	soft	soft	ADJ
ejpam-4249	210	14	open	open	ADJ
ejpam-4249	210	15	in	in	ADP
ejpam-4249	210	16	ω1	ω1	PROPN
ejpam-4249	210	17	.	.	PUNCT
ejpam-4249	211	1	definition	definition	NOUN
ejpam-4249	211	2	19	19	NUM
ejpam-4249	211	3	.	.	PUNCT
ejpam-4249	212	1	the	the	DET
ejpam-4249	212	2	soft	soft	ADJ
ejpam-4249	212	3	function	function	NOUN
ejpam-4249	212	4	(	(	PUNCT
ejpam-4249	212	5	ϕ,ψ	ϕ,ψ	NOUN
ejpam-4249	212	6	)	)	PUNCT
ejpam-4249	212	7	:	:	PUNCT
ejpam-4249	212	8	(	(	PUNCT
ejpam-4249	212	9	ũe	ũe	INTJ
ejpam-4249	212	10	,	,	PUNCT
ejpam-4249	212	11	τ1	τ1	NOUN
ejpam-4249	212	12	,	,	PUNCT
ejpam-4249	212	13	κ1	κ1	NOUN
ejpam-4249	212	14	)	)	PUNCT
ejpam-4249	212	15	→	→	SYM
ejpam-4249	212	16	(	(	PUNCT
ejpam-4249	212	17	ũe	ũe	X
ejpam-4249	212	18	,	,	PUNCT
ejpam-4249	212	19	τ2	τ2	PROPN
ejpam-4249	212	20	,	,	PUNCT
ejpam-4249	212	21	κ2	κ2	NOUN
ejpam-4249	212	22	)	)	PUNCT
ejpam-4249	212	23	is	be	AUX
ejpam-4249	212	24	called	call	VERB
ejpam-4249	212	25	:	:	PUNCT
ejpam-4249	212	26	(	(	PUNCT
ejpam-4249	212	27	1	1	X
ejpam-4249	212	28	)	)	PUNCT
ejpam-4249	212	29	soft	soft	ADJ
ejpam-4249	212	30	β	β	ADP
ejpam-4249	212	31	continuous	continuous	ADJ
ejpam-4249	212	32	if	if	SCONJ
ejpam-4249	212	33	ϕ−1(f	ϕ−1(f	PROPN
ejpam-4249	212	34	)	)	PUNCT
ejpam-4249	212	35	∈	∈	PROPN
ejpam-4249	212	36	sβo(ũe	sβo(ũe	PROPN
ejpam-4249	212	37	)	)	PUNCT
ejpam-4249	212	38	∀	∀	X
ejpam-4249	213	1	f	f	PROPN
ejpam-4249	213	2	∈	∈	PROPN
ejpam-4249	213	3	τ2	τ2	PROPN
ejpam-4249	213	4	.	.	PUNCT
ejpam-4249	214	1	(	(	PUNCT
ejpam-4249	214	2	2	2	X
ejpam-4249	214	3	)	)	PUNCT
ejpam-4249	214	4	soft	soft	ADJ
ejpam-4249	214	5	β	β	X
ejpam-4249	214	6	cocontinuous	cocontinuous	ADJ
ejpam-4249	214	7	if	if	SCONJ
ejpam-4249	214	8	ψ−1(h	ψ−1(h	PROPN
ejpam-4249	214	9	)	)	PUNCT
ejpam-4249	214	10	∈	∈	PROPN
ejpam-4249	214	11	sβc(ũe	sβc(ũe	PROPN
ejpam-4249	214	12	)	)	PUNCT
ejpam-4249	214	13	∀	∀	X
ejpam-4249	214	14	h	h	NOUN
ejpam-4249	214	15	∈	∈	PROPN
ejpam-4249	214	16	κ2	κ2	PROPN
ejpam-4249	214	17	.	.	PUNCT
ejpam-4249	215	1	(	(	PUNCT
ejpam-4249	215	2	3	3	X
ejpam-4249	215	3	)	)	PUNCT
ejpam-4249	215	4	soft	soft	ADJ
ejpam-4249	215	5	β	β	X
ejpam-4249	215	6	bicontinuous	bicontinuous	ADJ
ejpam-4249	215	7	if	if	SCONJ
ejpam-4249	215	8	it	it	PRON
ejpam-4249	215	9	is	be	AUX
ejpam-4249	215	10	both	both	CCONJ
ejpam-4249	215	11	soft	soft	ADJ
ejpam-4249	215	12	β	β	SYM
ejpam-4249	215	13	continuous	continuous	ADJ
ejpam-4249	215	14	and	and	CCONJ
ejpam-4249	215	15	soft	soft	ADJ
ejpam-4249	216	1	β	β	NOUN
ejpam-4249	216	2	cocontinuous	cocontinuous	ADJ
ejpam-4249	216	3	.	.	PUNCT
ejpam-4249	217	1	(	(	PUNCT
ejpam-4249	217	2	4	4	X
ejpam-4249	217	3	)	)	PUNCT
ejpam-4249	217	4	soft	soft	ADJ
ejpam-4249	217	5	semi	semi	ADV
ejpam-4249	217	6	continuous	continuous	ADJ
ejpam-4249	217	7	if	if	SCONJ
ejpam-4249	217	8	ϕ−1(f	ϕ−1(f	PROPN
ejpam-4249	217	9	)	)	PUNCT
ejpam-4249	217	10	∈	∈	PROPN
ejpam-4249	217	11	sso(ũe	sso(ũe	PROPN
ejpam-4249	217	12	)	)	PUNCT
ejpam-4249	217	13	∀	∀	PUNCT
ejpam-4249	217	14	f	f	PROPN
ejpam-4249	217	15	∈	∈	PROPN
ejpam-4249	217	16	τ2	τ2	PROPN
ejpam-4249	217	17	.	.	PUNCT
ejpam-4249	218	1	(	(	PUNCT
ejpam-4249	218	2	5	5	X
ejpam-4249	218	3	)	)	PUNCT
ejpam-4249	218	4	soft	soft	ADJ
ejpam-4249	218	5	semi	semi	ADV
ejpam-4249	218	6	cocontinuous	cocontinuous	ADJ
ejpam-4249	218	7	if	if	SCONJ
ejpam-4249	218	8	ψ−1(h	ψ−1(h	PROPN
ejpam-4249	218	9	)	)	PUNCT
ejpam-4249	218	10	∈	∈	PROPN
ejpam-4249	218	11	ssc(ũe	ssc(ũe	PROPN
ejpam-4249	218	12	)	)	PUNCT
ejpam-4249	218	13	∀	∀	PUNCT
ejpam-4249	218	14	h	h	NOUN
ejpam-4249	218	15	∈	∈	PROPN
ejpam-4249	218	16	κ2	κ2	PROPN
ejpam-4249	218	17	.	.	PUNCT
ejpam-4249	219	1	(	(	PUNCT
ejpam-4249	219	2	6	6	X
ejpam-4249	219	3	)	)	PUNCT
ejpam-4249	219	4	soft	soft	ADJ
ejpam-4249	219	5	semi	semi	ADV
ejpam-4249	219	6	bicontinuous	bicontinuous	ADJ
ejpam-4249	219	7	if	if	SCONJ
ejpam-4249	219	8	it	it	PRON
ejpam-4249	219	9	semi	semi	VERB
ejpam-4249	219	10	continuous	continuous	ADJ
ejpam-4249	219	11	and	and	CCONJ
ejpam-4249	219	12	semi	semi	ADV
ejpam-4249	219	13	cocontinuous	cocontinuous	ADJ
ejpam-4249	219	14	.	.	PUNCT
ejpam-4249	220	1	example	example	NOUN
ejpam-4249	221	1	5	5	NUM
ejpam-4249	221	2	.	.	PUNCT
ejpam-4249	222	1	let	let	AUX
ejpam-4249	222	2	(	(	PUNCT
ejpam-4249	222	3	ũe	ũe	X
ejpam-4249	222	4	,	,	PUNCT
ejpam-4249	222	5	ω1	ω1	PROPN
ejpam-4249	222	6	)	)	PUNCT
ejpam-4249	222	7	,	,	PUNCT
ejpam-4249	222	8	(	(	PUNCT
ejpam-4249	222	9	ũe	ũe	X
ejpam-4249	222	10	,	,	PUNCT
ejpam-4249	222	11	ω2	ω2	NUM
ejpam-4249	222	12	)	)	PUNCT
ejpam-4249	222	13	be	be	AUX
ejpam-4249	222	14	two	two	NUM
ejpam-4249	222	15	soft	soft	ADJ
ejpam-4249	222	16	ditopiogical	ditopiogical	ADJ
ejpam-4249	222	17	spaces	space	NOUN
ejpam-4249	222	18	,	,	PUNCT
ejpam-4249	222	19	such	such	ADJ
ejpam-4249	222	20	that	that	SCONJ
ejpam-4249	222	21	u	u	NOUN
ejpam-4249	222	22	=	=	NOUN
ejpam-4249	222	23	{	{	PUNCT
ejpam-4249	222	24	u1	u1	NOUN
ejpam-4249	222	25	,	,	PUNCT
ejpam-4249	222	26	u2	u2	NOUN
ejpam-4249	222	27	,	,	PUNCT
ejpam-4249	222	28	u3	u3	NOUN
ejpam-4249	222	29	}	}	PUNCT
ejpam-4249	222	30	,	,	PUNCT
ejpam-4249	222	31	e	e	X
ejpam-4249	222	32	=	=	PRON
ejpam-4249	222	33	{	{	PUNCT
ejpam-4249	222	34	e1	e1	PROPN
ejpam-4249	222	35	,	,	PUNCT
ejpam-4249	222	36	e2	e2	PROPN
ejpam-4249	222	37	}	}	PUNCT
ejpam-4249	222	38	,	,	PUNCT
ejpam-4249	222	39	ϕ	ϕ	NOUN
ejpam-4249	222	40	:	:	PUNCT
ejpam-4249	222	41	(	(	PUNCT
ejpam-4249	222	42	ũe	ũe	NOUN
ejpam-4249	222	43	,	,	PUNCT
ejpam-4249	222	44	τ1	τ1	NOUN
ejpam-4249	222	45	)	)	PUNCT
ejpam-4249	222	46	→	→	SYM
ejpam-4249	222	47	(	(	PUNCT
ejpam-4249	222	48	ũe	ũe	X
ejpam-4249	222	49	,	,	PUNCT
ejpam-4249	222	50	τ2	τ2	PROPN
ejpam-4249	222	51	)	)	PUNCT
ejpam-4249	222	52	and	and	CCONJ
ejpam-4249	222	53	ψ	ψ	X
ejpam-4249	222	54	:	:	PUNCT
ejpam-4249	222	55	(	(	PUNCT
ejpam-4249	222	56	ũe	ũe	X
ejpam-4249	222	57	,	,	PUNCT
ejpam-4249	222	58	κ1	κ1	NOUN
ejpam-4249	222	59	)	)	PUNCT
ejpam-4249	222	60	→	→	SYM
ejpam-4249	222	61	(	(	PUNCT
ejpam-4249	222	62	ũe	ũe	X
ejpam-4249	222	63	,	,	PUNCT
ejpam-4249	222	64	κ2	κ2	PROPN
ejpam-4249	222	65	)	)	PUNCT
ejpam-4249	222	66	,	,	PUNCT
ejpam-4249	222	67	τ1	τ1	NOUN
ejpam-4249	222	68	=	=	SYM
ejpam-4249	222	69	{	{	PUNCT
ejpam-4249	222	70	φ	φ	NOUN
ejpam-4249	222	71	,	,	PUNCT
ejpam-4249	222	72	ũe	ũe	INTJ
ejpam-4249	222	73	,	,	PUNCT
ejpam-4249	222	74	{	{	PUNCT
ejpam-4249	222	75	(	(	PUNCT
ejpam-4249	222	76	e1	e1	NOUN
ejpam-4249	222	77	,	,	PUNCT
ejpam-4249	222	78	{	{	PUNCT
ejpam-4249	222	79	u1	u1	NOUN
ejpam-4249	222	80	}	}	PUNCT
ejpam-4249	222	81	)	)	PUNCT
ejpam-4249	222	82	,	,	PUNCT
ejpam-4249	222	83	(	(	PUNCT
ejpam-4249	222	84	e2	e2	PROPN
ejpam-4249	222	85	,	,	PUNCT
ejpam-4249	222	86	{	{	PUNCT
ejpam-4249	222	87	u1	u1	NOUN
ejpam-4249	222	88	}	}	PUNCT
ejpam-4249	222	89	)	)	PUNCT
ejpam-4249	222	90	}	}	PUNCT
ejpam-4249	222	91	,	,	PUNCT
ejpam-4249	222	92	{	{	PUNCT
ejpam-4249	222	93	(	(	PUNCT
ejpam-4249	222	94	e1	e1	NOUN
ejpam-4249	222	95	,	,	PUNCT
ejpam-4249	222	96	{	{	PUNCT
ejpam-4249	222	97	u2	u2	NOUN
ejpam-4249	222	98	}	}	PUNCT
ejpam-4249	222	99	)	)	PUNCT
ejpam-4249	222	100	,	,	PUNCT
ejpam-4249	222	101	(	(	PUNCT
ejpam-4249	222	102	e2	e2	PROPN
ejpam-4249	222	103	,	,	PUNCT
ejpam-4249	222	104	{	{	PUNCT
ejpam-4249	222	105	u2	u2	NOUN
ejpam-4249	222	106	}	}	PUNCT
ejpam-4249	222	107	)	)	PUNCT
ejpam-4249	222	108	}	}	PUNCT
ejpam-4249	222	109	,	,	PUNCT
ejpam-4249	222	110	{	{	PUNCT
ejpam-4249	222	111	(	(	PUNCT
ejpam-4249	222	112	e1	e1	NOUN
ejpam-4249	222	113	,	,	PUNCT
ejpam-4249	222	114	{	{	PUNCT
ejpam-4249	222	115	u1	u1	NOUN
ejpam-4249	222	116	,	,	PUNCT
ejpam-4249	222	117	u2	u2	NOUN
ejpam-4249	222	118	}	}	PUNCT
ejpam-4249	222	119	)	)	PUNCT
ejpam-4249	222	120	,	,	PUNCT
ejpam-4249	222	121	(	(	PUNCT
ejpam-4249	222	122	e2	e2	PROPN
ejpam-4249	222	123	,	,	PUNCT
ejpam-4249	222	124	{	{	PUNCT
ejpam-4249	222	125	u1	u1	NOUN
ejpam-4249	222	126	,	,	PUNCT
ejpam-4249	222	127	u2	u2	NOUN
ejpam-4249	222	128	}	}	PUNCT
ejpam-4249	222	129	)	)	PUNCT
ejpam-4249	222	130	}	}	PUNCT
ejpam-4249	222	131	,	,	PUNCT
ejpam-4249	222	132	κ1	κ1	NOUN
ejpam-4249	222	133	=	=	SYM
ejpam-4249	222	134	{	{	PUNCT
ejpam-4249	222	135	φ	φ	PROPN
ejpam-4249	222	136	,	,	PUNCT
ejpam-4249	222	137	ũe	ũe	INTJ
ejpam-4249	222	138	,	,	PUNCT
ejpam-4249	222	139	{	{	PUNCT
ejpam-4249	222	140	(	(	PUNCT
ejpam-4249	222	141	e1	e1	NOUN
ejpam-4249	222	142	,	,	PUNCT
ejpam-4249	222	143	{	{	PUNCT
ejpam-4249	222	144	u1	u1	NOUN
ejpam-4249	222	145	}	}	PUNCT
ejpam-4249	222	146	)	)	PUNCT
ejpam-4249	222	147	,	,	PUNCT
ejpam-4249	222	148	(	(	PUNCT
ejpam-4249	222	149	e2	e2	PROPN
ejpam-4249	222	150	,	,	PUNCT
ejpam-4249	222	151	{	{	PUNCT
ejpam-4249	222	152	u2	u2	NOUN
ejpam-4249	222	153	}	}	PUNCT
ejpam-4249	222	154	)	)	PUNCT
ejpam-4249	222	155	}	}	PUNCT
ejpam-4249	222	156	,	,	PUNCT
ejpam-4249	222	157	{	{	PUNCT
ejpam-4249	222	158	(	(	PUNCT
ejpam-4249	222	159	e1	e1	NOUN
ejpam-4249	222	160	,	,	PUNCT
ejpam-4249	222	161	{	{	PUNCT
ejpam-4249	222	162	u1	u1	NOUN
ejpam-4249	222	163	}	}	PUNCT
ejpam-4249	222	164	)	)	PUNCT
ejpam-4249	222	165	,	,	PUNCT
ejpam-4249	222	166	(	(	PUNCT
ejpam-4249	222	167	e2	e2	PROPN
ejpam-4249	222	168	,	,	PUNCT
ejpam-4249	222	169	{	{	PUNCT
ejpam-4249	222	170	u2	u2	NOUN
ejpam-4249	222	171	}	}	PUNCT
ejpam-4249	222	172	)	)	PUNCT
ejpam-4249	222	173	}	}	PUNCT
ejpam-4249	222	174	}	}	PUNCT
ejpam-4249	222	175	,	,	PUNCT
ejpam-4249	222	176	and	and	CCONJ
ejpam-4249	222	177	τ2	τ2	NOUN
ejpam-4249	222	178	=	=	SYM
ejpam-4249	222	179	{	{	PUNCT
ejpam-4249	222	180	φ	φ	NOUN
ejpam-4249	222	181	,	,	PUNCT
ejpam-4249	222	182	ũe	ũe	INTJ
ejpam-4249	222	183	,	,	PUNCT
ejpam-4249	222	184	{	{	PUNCT
ejpam-4249	222	185	(	(	PUNCT
ejpam-4249	222	186	e1	e1	NOUN
ejpam-4249	222	187	,	,	PUNCT
ejpam-4249	222	188	{	{	PUNCT
ejpam-4249	222	189	u1	u1	NOUN
ejpam-4249	222	190	}	}	PUNCT
ejpam-4249	222	191	)	)	PUNCT
ejpam-4249	222	192	,	,	PUNCT
ejpam-4249	222	193	(	(	PUNCT
ejpam-4249	222	194	e2	e2	PROPN
ejpam-4249	222	195	,	,	PUNCT
ejpam-4249	222	196	{	{	PUNCT
ejpam-4249	222	197	u1	u1	NOUN
ejpam-4249	222	198	}	}	PUNCT
ejpam-4249	222	199	)	)	PUNCT
ejpam-4249	222	200	}	}	PUNCT
ejpam-4249	222	201	,	,	PUNCT
ejpam-4249	222	202	{	{	PUNCT
ejpam-4249	222	203	(	(	PUNCT
ejpam-4249	222	204	e1	e1	NOUN
ejpam-4249	222	205	,	,	PUNCT
ejpam-4249	222	206	{	{	PUNCT
ejpam-4249	222	207	u1	u1	NOUN
ejpam-4249	222	208	,	,	PUNCT
ejpam-4249	222	209	u2	u2	NOUN
ejpam-4249	222	210	}	}	PUNCT
ejpam-4249	222	211	)	)	PUNCT
ejpam-4249	222	212	,	,	PUNCT
ejpam-4249	222	213	(	(	PUNCT
ejpam-4249	222	214	e2	e2	PROPN
ejpam-4249	222	215	,	,	PUNCT
ejpam-4249	222	216	{	{	PUNCT
ejpam-4249	222	217	u1	u1	NOUN
ejpam-4249	222	218	,	,	PUNCT
ejpam-4249	222	219	u2	u2	NOUN
ejpam-4249	222	220	}	}	PUNCT
ejpam-4249	222	221	)	)	PUNCT
ejpam-4249	222	222	}	}	PUNCT
ejpam-4249	222	223	,	,	PUNCT
ejpam-4249	222	224	κ2	κ2	NOUN
ejpam-4249	222	225	=	=	SYM
ejpam-4249	222	226	{	{	PUNCT
ejpam-4249	222	227	φ	φ	PROPN
ejpam-4249	222	228	,	,	PUNCT
ejpam-4249	222	229	ũe	ũe	INTJ
ejpam-4249	222	230	,	,	PUNCT
ejpam-4249	222	231	{	{	PUNCT
ejpam-4249	222	232	(	(	PUNCT
ejpam-4249	222	233	e1	e1	NOUN
ejpam-4249	222	234	,	,	PUNCT
ejpam-4249	222	235	{	{	PUNCT
ejpam-4249	222	236	u2	u2	NOUN
ejpam-4249	222	237	}	}	PUNCT
ejpam-4249	222	238	)	)	PUNCT
ejpam-4249	222	239	,	,	PUNCT
ejpam-4249	222	240	(	(	PUNCT
ejpam-4249	222	241	e2	e2	PROPN
ejpam-4249	222	242	,	,	PUNCT
ejpam-4249	222	243	{	{	PUNCT
ejpam-4249	222	244	u2	u2	NOUN
ejpam-4249	222	245	}	}	PUNCT
ejpam-4249	222	246	)	)	PUNCT
ejpam-4249	222	247	}	}	PUNCT
ejpam-4249	222	248	}	}	PUNCT
ejpam-4249	222	249	,	,	PUNCT
ejpam-4249	222	250	if	if	SCONJ
ejpam-4249	222	251	we	we	PRON
ejpam-4249	222	252	defined	define	VERB
ejpam-4249	222	253	the	the	DET
ejpam-4249	222	254	mapping	mapping	NOUN
ejpam-4249	222	255	as	as	ADP
ejpam-4249	222	256	ϕ(u1	ϕ(u1	NOUN
ejpam-4249	222	257	)	)	PUNCT
ejpam-4249	222	258	=	=	SYM
ejpam-4249	222	259	u1	u1	NOUN
ejpam-4249	222	260	,	,	PUNCT
ejpam-4249	222	261	ϕ(u2	ϕ(u2	ADJ
ejpam-4249	222	262	)	)	PUNCT
ejpam-4249	223	1	=	=	SYM
ejpam-4249	223	2	u3	u3	PROPN
ejpam-4249	223	3	,	,	PUNCT
ejpam-4249	223	4	ϕ(u3	ϕ(u3	X
ejpam-4249	223	5	)	)	PUNCT
ejpam-4249	224	1	=	=	SYM
ejpam-4249	224	2	u2	u2	NOUN
ejpam-4249	224	3	and	and	CCONJ
ejpam-4249	224	4	ψ(u1	ψ(u1	NOUN
ejpam-4249	224	5	)	)	PUNCT
ejpam-4249	225	1	=	=	SYM
ejpam-4249	225	2	u1	u1	NOUN
ejpam-4249	225	3	,	,	PUNCT
ejpam-4249	225	4	ψ(u2	ψ(u2	ADJ
ejpam-4249	225	5	)	)	PUNCT
ejpam-4249	226	1	=	=	SYM
ejpam-4249	226	2	u3	u3	PROPN
ejpam-4249	226	3	,	,	PUNCT
ejpam-4249	226	4	ψ(u3	ψ(u3	NOUN
ejpam-4249	226	5	)	)	PUNCT
ejpam-4249	226	6	=	=	SYM
ejpam-4249	226	7	u2	u2	PROPN
ejpam-4249	226	8	,	,	PUNCT
ejpam-4249	226	9	then	then	ADV
ejpam-4249	226	10	ϕ	ϕ	PROPN
ejpam-4249	226	11	is	be	AUX
ejpam-4249	226	12	a	a	DET
ejpam-4249	226	13	soft	soft	ADJ
ejpam-4249	226	14	β	β	NOUN
ejpam-4249	226	15	continuous	continuous	ADJ
ejpam-4249	226	16	and	and	CCONJ
ejpam-4249	226	17	ψ	ψ	NOUN
ejpam-4249	226	18	is	be	AUX
ejpam-4249	226	19	a	a	DET
ejpam-4249	226	20	soft	soft	ADJ
ejpam-4249	226	21	β	β	NOUN
ejpam-4249	226	22	cocontinuous	cocontinuous	ADJ
ejpam-4249	226	23	,	,	PUNCT
ejpam-4249	226	24	consequently	consequently	ADV
ejpam-4249	226	25	ω	ω	PROPN
ejpam-4249	226	26	is	be	AUX
ejpam-4249	226	27	a	a	DET
ejpam-4249	226	28	soft	soft	ADJ
ejpam-4249	226	29	β	β	NOUN
ejpam-4249	226	30	bicontinuous	bicontinuous	NOUN
ejpam-4249	226	31	.	.	PUNCT
ejpam-4249	227	1	definition	definition	NOUN
ejpam-4249	227	2	20	20	NUM
ejpam-4249	227	3	.	.	PUNCT
ejpam-4249	228	1	a	a	DET
ejpam-4249	228	2	soft	soft	ADJ
ejpam-4249	228	3	function	function	NOUN
ejpam-4249	228	4	γ	γ	X
ejpam-4249	228	5	=	=	SYM
ejpam-4249	228	6	(	(	PUNCT
ejpam-4249	228	7	ϕ,ψ	ϕ,ψ	PROPN
ejpam-4249	228	8	)	)	PUNCT
ejpam-4249	228	9	:	:	PUNCT
ejpam-4249	228	10	(	(	PUNCT
ejpam-4249	228	11	ũe	ũe	INTJ
ejpam-4249	228	12	,	,	PUNCT
ejpam-4249	228	13	τ1	τ1	NOUN
ejpam-4249	228	14	,	,	PUNCT
ejpam-4249	228	15	κ1	κ1	NOUN
ejpam-4249	228	16	)	)	PUNCT
ejpam-4249	228	17	→	→	SYM
ejpam-4249	228	18	(	(	PUNCT
ejpam-4249	228	19	ũe	ũe	X
ejpam-4249	228	20	,	,	PUNCT
ejpam-4249	228	21	τ2	τ2	PROPN
ejpam-4249	228	22	,	,	PUNCT
ejpam-4249	228	23	κ2	κ2	NOUN
ejpam-4249	228	24	)	)	PUNCT
ejpam-4249	228	25	is	be	AUX
ejpam-4249	228	26	called	call	VERB
ejpam-4249	228	27	:	:	PUNCT
ejpam-4249	228	28	(	(	PUNCT
ejpam-4249	228	29	1	1	X
ejpam-4249	228	30	)	)	PUNCT
ejpam-4249	228	31	soft	soft	ADJ
ejpam-4249	228	32	β	β	NOUN
ejpam-4249	228	33	irresolute	irresolute	ADJ
ejpam-4249	228	34	if	if	SCONJ
ejpam-4249	228	35	ϕ−1(f	ϕ−1(f	PROPN
ejpam-4249	228	36	)	)	PUNCT
ejpam-4249	228	37	is	be	AUX
ejpam-4249	228	38	sβo(ũe	sβo(ũe	PROPN
ejpam-4249	228	39	)	)	PUNCT
ejpam-4249	228	40	∀f	∀f	PROPN
ejpam-4249	228	41	is	be	AUX
ejpam-4249	228	42	sβo(ũe	sβo(ũe	PROPN
ejpam-4249	228	43	)	)	PUNCT
ejpam-4249	228	44	and	and	CCONJ
ejpam-4249	228	45	ψ−1(f	ψ−1(f	PROPN
ejpam-4249	228	46	)	)	PUNCT
ejpam-4249	228	47	is	be	AUX
ejpam-4249	228	48	sβc(ũe	sβc(ũe	NOUN
ejpam-4249	228	49	)	)	PUNCT
ejpam-4249	229	1	∀f	∀f	PROPN
ejpam-4249	229	2	is	be	AUX
ejpam-4249	229	3	sβc(ũe	sβc(ũe	PROPN
ejpam-4249	229	4	)	)	PUNCT
ejpam-4249	229	5	.	.	PUNCT
ejpam-4249	230	1	(	(	PUNCT
ejpam-4249	230	2	2	2	X
ejpam-4249	230	3	)	)	PUNCT
ejpam-4249	230	4	strongly	strongly	ADV
ejpam-4249	230	5	soft	soft	ADJ
ejpam-4249	230	6	β	β	NOUN
ejpam-4249	230	7	irresolute	irresolute	ADJ
ejpam-4249	230	8	if	if	SCONJ
ejpam-4249	230	9	ϕ−1(f	ϕ−1(f	PROPN
ejpam-4249	230	10	)	)	PUNCT
ejpam-4249	230	11	is	be	AUX
ejpam-4249	230	12	sso(ũe	sso(ũe	PROPN
ejpam-4249	230	13	)	)	PUNCT
ejpam-4249	230	14	∀f	∀f	PROPN
ejpam-4249	230	15	is	be	AUX
ejpam-4249	230	16	sβo(ũe	sβo(ũe	PROPN
ejpam-4249	230	17	)	)	PUNCT
ejpam-4249	230	18	and	and	CCONJ
ejpam-4249	230	19	ψ−1(f	ψ−1(f	PROPN
ejpam-4249	230	20	)	)	PUNCT
ejpam-4249	230	21	is	be	AUX
ejpam-4249	230	22	ssc(ũe	ssc(ũe	PROPN
ejpam-4249	230	23	)	)	PUNCT
ejpam-4249	231	1	∀f	∀f	PROPN
ejpam-4249	231	2	is	be	AUX
ejpam-4249	231	3	sβc(ũe	sβc(ũe	PROPN
ejpam-4249	231	4	)	)	PUNCT
ejpam-4249	231	5	.	.	PUNCT
ejpam-4249	232	1	proposition	proposition	NOUN
ejpam-4249	232	2	6	6	NUM
ejpam-4249	232	3	.	.	PUNCT
ejpam-4249	233	1	let	let	VERB
ejpam-4249	233	2	a	a	DET
ejpam-4249	233	3	soft	soft	ADJ
ejpam-4249	233	4	function	function	NOUN
ejpam-4249	233	5	γ1	γ1	NOUN
ejpam-4249	233	6	:	:	PUNCT
ejpam-4249	233	7	(	(	PUNCT
ejpam-4249	233	8	ũe	ũe	NOUN
ejpam-4249	233	9	,	,	PUNCT
ejpam-4249	233	10	τ1	τ1	NOUN
ejpam-4249	233	11	,	,	PUNCT
ejpam-4249	233	12	κ1	κ1	NOUN
ejpam-4249	233	13	)	)	PUNCT
ejpam-4249	233	14	→	→	SYM
ejpam-4249	233	15	(	(	PUNCT
ejpam-4249	233	16	ṽe	ṽe	ADV
ejpam-4249	233	17	,	,	PUNCT
ejpam-4249	233	18	τ2	τ2	PROPN
ejpam-4249	233	19	,	,	PUNCT
ejpam-4249	233	20	κ2	κ2	NOUN
ejpam-4249	233	21	)	)	PUNCT
ejpam-4249	233	22	and	and	CCONJ
ejpam-4249	233	23	γ2	γ2	ADJ
ejpam-4249	233	24	:	:	PUNCT
ejpam-4249	233	25	(	(	PUNCT
ejpam-4249	233	26	ṽe	ṽe	ADV
ejpam-4249	233	27	,	,	PUNCT
ejpam-4249	233	28	τ2	τ2	PROPN
ejpam-4249	233	29	,	,	PUNCT
ejpam-4249	233	30	κ2	κ2	NOUN
ejpam-4249	233	31	)	)	PUNCT
ejpam-4249	233	32	→	→	SYM
ejpam-4249	233	33	(	(	PUNCT
ejpam-4249	233	34	w̃e	w̃e	NOUN
ejpam-4249	233	35	,	,	PUNCT
ejpam-4249	233	36	τ3	τ3	PROPN
ejpam-4249	233	37	,	,	PUNCT
ejpam-4249	233	38	κ3	κ3	PROPN
ejpam-4249	233	39	)	)	PUNCT
ejpam-4249	233	40	are	be	AUX
ejpam-4249	233	41	both	both	ADV
ejpam-4249	233	42	soft	soft	ADJ
ejpam-4249	233	43	β	β	X
ejpam-4249	233	44	irresolute	irresolute	NOUN
ejpam-4249	233	45	.	.	PUNCT
ejpam-4249	234	1	then	then	ADV
ejpam-4249	234	2	γ1	γ1	PROPN
ejpam-4249	234	3	◦	◦	PROPN
ejpam-4249	234	4	γ2	γ2	PROPN
ejpam-4249	234	5	:	:	PUNCT
ejpam-4249	234	6	(	(	PUNCT
ejpam-4249	234	7	ũe	ũe	NOUN
ejpam-4249	234	8	,	,	PUNCT
ejpam-4249	234	9	τ1	τ1	NOUN
ejpam-4249	234	10	,	,	PUNCT
ejpam-4249	234	11	κ1	κ1	NOUN
ejpam-4249	234	12	)	)	PUNCT
ejpam-4249	234	13	→	→	SYM
ejpam-4249	234	14	(	(	PUNCT
ejpam-4249	234	15	w̃e	w̃e	NOUN
ejpam-4249	234	16	,	,	PUNCT
ejpam-4249	234	17	τ3	τ3	PROPN
ejpam-4249	234	18	,	,	PUNCT
ejpam-4249	234	19	κ3	κ3	PROPN
ejpam-4249	234	20	)	)	PUNCT
ejpam-4249	234	21	is	be	AUX
ejpam-4249	234	22	soft	soft	ADJ
ejpam-4249	234	23	β	β	X
ejpam-4249	234	24	irresolute	irresolute	NOUN
ejpam-4249	234	25	.	.	PUNCT
ejpam-4249	235	1	references	reference	NOUN
ejpam-4249	235	2	133	133	NUM
ejpam-4249	235	3	definition	definition	NOUN
ejpam-4249	235	4	21	21	NUM
ejpam-4249	235	5	.	.	PUNCT
ejpam-4249	236	1	let	let	VERB
ejpam-4249	236	2	a	a	DET
ejpam-4249	236	3	soft	soft	ADJ
ejpam-4249	236	4	function	function	NOUN
ejpam-4249	236	5	(	(	PUNCT
ejpam-4249	236	6	ϕ,ψ	ϕ,ψ	NOUN
ejpam-4249	236	7	)	)	PUNCT
ejpam-4249	236	8	:	:	PUNCT
ejpam-4249	236	9	(	(	PUNCT
ejpam-4249	236	10	ũe	ũe	INTJ
ejpam-4249	236	11	,	,	PUNCT
ejpam-4249	236	12	τ1	τ1	NOUN
ejpam-4249	236	13	,	,	PUNCT
ejpam-4249	236	14	κ1	κ1	NOUN
ejpam-4249	236	15	)	)	PUNCT
ejpam-4249	236	16	→	→	SYM
ejpam-4249	236	17	(	(	PUNCT
ejpam-4249	236	18	ũe	ũe	X
ejpam-4249	236	19	,	,	PUNCT
ejpam-4249	236	20	τ2	τ2	PROPN
ejpam-4249	236	21	,	,	PUNCT
ejpam-4249	236	22	κ2	κ2	PROPN
ejpam-4249	236	23	)	)	PUNCT
ejpam-4249	236	24	,	,	PUNCT
ejpam-4249	236	25	then	then	ADV
ejpam-4249	236	26	:	:	PUNCT
ejpam-4249	236	27	(	(	PUNCT
ejpam-4249	236	28	1	1	X
ejpam-4249	236	29	)	)	PUNCT
ejpam-4249	236	30	ϕ	ϕ	NOUN
ejpam-4249	236	31	is	be	AUX
ejpam-4249	236	32	called	call	VERB
ejpam-4249	236	33	soft	soft	ADJ
ejpam-4249	236	34	β	β	NOUN
ejpam-4249	236	35	open	open	ADJ
ejpam-4249	236	36	if	if	SCONJ
ejpam-4249	236	37	the	the	DET
ejpam-4249	236	38	image	image	NOUN
ejpam-4249	236	39	of	of	ADP
ejpam-4249	236	40	each	each	DET
ejpam-4249	236	41	soft	soft	ADJ
ejpam-4249	236	42	β	β	X
ejpam-4249	236	43	open	open	ADJ
ejpam-4249	236	44	in	in	ADP
ejpam-4249	236	45	τ1	τ1	NOUN
ejpam-4249	236	46	is	be	AUX
ejpam-4249	236	47	soft	soft	ADJ
ejpam-4249	236	48	β	β	NOUN
ejpam-4249	236	49	open	open	ADJ
ejpam-4249	236	50	in	in	ADP
ejpam-4249	236	51	τ2	τ2	NOUN
ejpam-4249	236	52	.	.	PUNCT
ejpam-4249	237	1	(	(	PUNCT
ejpam-4249	237	2	2	2	X
ejpam-4249	237	3	)	)	PUNCT
ejpam-4249	237	4	ψ	ψ	NOUN
ejpam-4249	237	5	is	be	AUX
ejpam-4249	237	6	called	call	VERB
ejpam-4249	237	7	soft	soft	ADJ
ejpam-4249	237	8	β	β	NOUN
ejpam-4249	237	9	closed	close	VERB
ejpam-4249	237	10	if	if	SCONJ
ejpam-4249	237	11	the	the	DET
ejpam-4249	237	12	image	image	NOUN
ejpam-4249	237	13	of	of	ADP
ejpam-4249	237	14	each	each	DET
ejpam-4249	237	15	soft	soft	ADJ
ejpam-4249	237	16	β	β	NOUN
ejpam-4249	237	17	closed	close	VERB
ejpam-4249	237	18	in	in	ADP
ejpam-4249	237	19	κ1	κ1	NOUN
ejpam-4249	237	20	is	be	AUX
ejpam-4249	237	21	soft	soft	ADJ
ejpam-4249	237	22	β	β	NOUN
ejpam-4249	237	23	closed	close	VERB
ejpam-4249	237	24	in	in	ADP
ejpam-4249	237	25	κ2	κ2	NOUN
ejpam-4249	237	26	.	.	PUNCT
ejpam-4249	238	1	4	4	X
ejpam-4249	238	2	.	.	X
ejpam-4249	238	3	conclusion	conclusion	NOUN
ejpam-4249	238	4	in	in	ADP
ejpam-4249	238	5	recent	recent	ADJ
ejpam-4249	238	6	decades	decade	NOUN
ejpam-4249	238	7	,	,	PUNCT
ejpam-4249	238	8	many	many	ADJ
ejpam-4249	238	9	applications	application	NOUN
ejpam-4249	238	10	of	of	ADP
ejpam-4249	238	11	topology	topology	NOUN
ejpam-4249	238	12	have	have	AUX
ejpam-4249	238	13	merged	merge	VERB
ejpam-4249	238	14	in	in	ADP
ejpam-4249	238	15	different	different	ADJ
ejpam-4249	238	16	fields	field	NOUN
ejpam-4249	238	17	.	.	PUNCT
ejpam-4249	239	1	therefore	therefore	ADV
ejpam-4249	239	2	we	we	PRON
ejpam-4249	239	3	have	have	AUX
ejpam-4249	239	4	had	have	VERB
ejpam-4249	239	5	to	to	PART
ejpam-4249	239	6	expand	expand	VERB
ejpam-4249	239	7	the	the	DET
ejpam-4249	239	8	topological	topological	ADJ
ejpam-4249	239	9	space	space	NOUN
ejpam-4249	239	10	in	in	ADP
ejpam-4249	239	11	many	many	ADJ
ejpam-4249	239	12	ways	way	NOUN
ejpam-4249	239	13	as	as	ADP
ejpam-4249	239	14	a	a	DET
ejpam-4249	239	15	result	result	NOUN
ejpam-4249	239	16	of	of	ADP
ejpam-4249	239	17	its	its	PRON
ejpam-4249	239	18	contribution	contribution	NOUN
ejpam-4249	239	19	to	to	ADP
ejpam-4249	239	20	solving	solve	VERB
ejpam-4249	239	21	some	some	DET
ejpam-4249	239	22	issues	issue	NOUN
ejpam-4249	239	23	.	.	PUNCT
ejpam-4249	240	1	so	so	ADV
ejpam-4249	240	2	,	,	PUNCT
ejpam-4249	240	3	in	in	ADP
ejpam-4249	240	4	this	this	DET
ejpam-4249	240	5	paper	paper	NOUN
ejpam-4249	240	6	,	,	PUNCT
ejpam-4249	240	7	we	we	PRON
ejpam-4249	240	8	generalized	generalize	VERB
ejpam-4249	240	9	some	some	PRON
ejpam-4249	240	10	of	of	ADP
ejpam-4249	240	11	the	the	DET
ejpam-4249	240	12	concepts	concept	NOUN
ejpam-4249	240	13	via	via	ADP
ejpam-4249	240	14	soft	soft	ADJ
ejpam-4249	240	15	ditopology	ditopology	NOUN
ejpam-4249	240	16	,	,	PUNCT
ejpam-4249	240	17	and	and	CCONJ
ejpam-4249	240	18	some	some	DET
ejpam-4249	240	19	properties	property	NOUN
ejpam-4249	240	20	are	be	AUX
ejpam-4249	240	21	obtained	obtain	VERB
ejpam-4249	240	22	.	.	PUNCT
ejpam-4249	241	1	acknowledgements	acknowledgement	NOUN
ejpam-4249	241	2	this	this	DET
ejpam-4249	241	3	research	research	NOUN
ejpam-4249	241	4	is	be	AUX
ejpam-4249	241	5	funded	fund	VERB
ejpam-4249	241	6	by	by	ADP
ejpam-4249	241	7	the	the	DET
ejpam-4249	241	8	deanship	deanship	NOUN
ejpam-4249	241	9	of	of	ADP
ejpam-4249	241	10	research	research	NOUN
ejpam-4249	241	11	in	in	ADP
ejpam-4249	241	12	zarqa	zarqa	PROPN
ejpam-4249	241	13	university	university	PROPN
ejpam-4249	241	14	,	,	PUNCT
ejpam-4249	241	15	jordan	jordan	PROPN
ejpam-4249	241	16	.	.	PUNCT
ejpam-4249	242	1	references	reference	NOUN
ejpam-4249	242	2	[	[	X
ejpam-4249	242	3	1	1	NUM
ejpam-4249	242	4	]	]	X
ejpam-4249	242	5	m.e	m.e	PROPN
ejpam-4249	242	6	.	.	PROPN
ejpam-4249	242	7	abdel	abdel	PROPN
ejpam-4249	242	8	-	-	PUNCT
ejpam-4249	242	9	monsef	monsef	PROPN
ejpam-4249	242	10	,	,	PUNCT
ejpam-4249	242	11	r.a	r.a	PROPN
ejpam-4249	242	12	.	.	PROPN
ejpam-4249	242	13	mahmoud	mahmoud	PROPN
ejpam-4249	242	14	,	,	PUNCT
ejpam-4249	242	15	and	and	CCONJ
ejpam-4249	242	16	a.a	a.a	PROPN
ejpam-4249	242	17	.	.	PROPN
ejpam-4249	242	18	nasef	nasef	PROPN
ejpam-4249	242	19	.	.	PUNCT
ejpam-4249	243	1	some	some	DET
ejpam-4249	243	2	forms	form	NOUN
ejpam-4249	243	3	of	of	ADP
ejpam-4249	243	4	strongly	strongly	ADV
ejpam-4249	243	5	µfunctions	µfunction	NOUN
ejpam-4249	243	6	,	,	PUNCT
ejpam-4249	243	7	µ	µ	X
ejpam-4249	243	8	∈	∈	NOUN
ejpam-4249	243	9	(	(	PUNCT
ejpam-4249	243	10	α	α	NOUN
ejpam-4249	243	11	-	-	PUNCT
ejpam-4249	243	12	irresolute	irresolute	ADJ
ejpam-4249	243	13	,	,	PUNCT
ejpam-4249	243	14	open	open	ADJ
ejpam-4249	243	15	,	,	PUNCT
ejpam-4249	243	16	closed	closed	ADJ
ejpam-4249	243	17	)	)	PUNCT
ejpam-4249	243	18	.	.	PUNCT
ejpam-4249	244	1	kyungpook	kyungpook	PROPN
ejpam-4249	244	2	math	math	PROPN
ejpam-4249	244	3	.	.	PUNCT
ejpam-4249	245	1	j.	j.	PROPN
ejpam-4249	245	2	,	,	PUNCT
ejpam-4249	245	3	36	36	NUM
ejpam-4249	245	4	,	,	PUNCT
ejpam-4249	245	5	,	,	PUNCT
ejpam-4249	245	6	pp.:143–150	pp.:143–150	NOUN
ejpam-4249	245	7	,	,	PUNCT
ejpam-4249	245	8	1996	1996	NUM
ejpam-4249	245	9	.	.	PUNCT
ejpam-4249	246	1	[	[	X
ejpam-4249	246	2	2	2	NUM
ejpam-4249	246	3	]	]	PUNCT
ejpam-4249	246	4	m.	m.	NOUN
ejpam-4249	246	5	abo	abo	NOUN
ejpam-4249	246	6	-	-	PUNCT
ejpam-4249	246	7	elhamayel	elhamayel	PROPN
ejpam-4249	246	8	,	,	PUNCT
ejpam-4249	246	9	t.m	t.m	PROPN
ejpam-4249	246	10	.	.	PROPN
ejpam-4249	246	11	al	al	PROPN
ejpam-4249	246	12	-	-	PUNCT
ejpam-4249	246	13	shami	shami	PROPN
ejpam-4249	246	14	,	,	PUNCT
ejpam-4249	246	15	and	and	CCONJ
ejpam-4249	246	16	m.e	m.e	PROPN
ejpam-4249	246	17	.	.	PROPN
ejpam-4249	246	18	el	el	PROPN
ejpam-4249	246	19	-	-	PUNCT
ejpam-4249	246	20	shafei	shafei	NOUN
ejpam-4249	246	21	.	.	PUNCT
ejpam-4249	247	1	on	on	ADP
ejpam-4249	247	2	soft	soft	ADJ
ejpam-4249	247	3	topological	topological	ADJ
ejpam-4249	247	4	ordered	order	VERB
ejpam-4249	247	5	spaces	space	NOUN
ejpam-4249	247	6	.	.	PUNCT
ejpam-4249	248	1	journal	journal	PROPN
ejpam-4249	248	2	of	of	ADP
ejpam-4249	248	3	king	king	PROPN
ejpam-4249	248	4	saud	saud	PROPN
ejpam-4249	248	5	university	university	PROPN
ejpam-4249	248	6	–	–	PUNCT
ejpam-4249	248	7	science	science	NOUN
ejpam-4249	248	8	,	,	PUNCT
ejpam-4249	248	9	31:556–566	31:556–566	PROPN
ejpam-4249	248	10	,	,	PUNCT
ejpam-4249	248	11	2019	2019	NUM
ejpam-4249	248	12	.	.	PUNCT
ejpam-4249	249	1	[	[	X
ejpam-4249	249	2	3	3	X
ejpam-4249	249	3	]	]	X
ejpam-4249	249	4	ahmad	ahmad	PROPN
ejpam-4249	249	5	al	al	PROPN
ejpam-4249	249	6	-	-	PUNCT
ejpam-4249	249	7	omari	omari	PROPN
ejpam-4249	249	8	and	and	CCONJ
ejpam-4249	249	9	shyamapada	shyamapada	PROPN
ejpam-4249	249	10	moda	moda	PROPN
ejpam-4249	249	11	.	.	PUNCT
ejpam-4249	250	1	filter	filter	NOUN
ejpam-4249	250	2	on	on	ADP
ejpam-4249	250	3	generalized	generalized	ADJ
ejpam-4249	250	4	topological	topological	ADJ
ejpam-4249	250	5	spaces	space	NOUN
ejpam-4249	250	6	.	.	PUNCT
ejpam-4249	251	1	scientia	scientia	PROPN
ejpam-4249	251	2	magna	magna	PROPN
ejpam-4249	251	3	,	,	PUNCT
ejpam-4249	251	4	9	9	NUM
ejpam-4249	251	5	,	,	PUNCT
ejpam-4249	251	6	no.1,pp.:62–71	no.1,pp.:62–71	PROPN
ejpam-4249	251	7	,	,	PUNCT
ejpam-4249	251	8	2013	2013	NUM
ejpam-4249	251	9	.	.	PUNCT
ejpam-4249	252	1	[	[	X
ejpam-4249	252	2	4	4	X
ejpam-4249	252	3	]	]	PUNCT
ejpam-4249	252	4	t.	t.	PROPN
ejpam-4249	252	5	m.	m.	PROPN
ejpam-4249	252	6	al	al	PROPN
ejpam-4249	252	7	-	-	PUNCT
ejpam-4249	252	8	shami	shami	PROPN
ejpam-4249	252	9	and	and	CCONJ
ejpam-4249	252	10	mohammed	mohammed	PROPN
ejpam-4249	252	11	e.	e.	PROPN
ejpam-4249	252	12	el	el	PROPN
ejpam-4249	252	13	-	-	PROPN
ejpam-4249	252	14	shafei	shafei	PROPN
ejpam-4249	252	15	.	.	PUNCT
ejpam-4249	253	1	t	t	PROPN
ejpam-4249	253	2	-soft	-soft	PROPN
ejpam-4249	253	3	equality	equality	NOUN
ejpam-4249	253	4	relation	relation	NOUN
ejpam-4249	253	5	.	.	PUNCT
ejpam-4249	254	1	turkish	turkish	ADJ
ejpam-4249	254	2	journal	journal	NOUN
ejpam-4249	254	3	of	of	ADP
ejpam-4249	254	4	mathematics	mathematic	NOUN
ejpam-4249	254	5	,	,	PUNCT
ejpam-4249	254	6	44:1427–1441	44:1427–1441	NUM
ejpam-4249	254	7	,	,	PUNCT
ejpam-4249	254	8	2020	2020	NUM
ejpam-4249	254	9	.	.	PUNCT
ejpam-4249	255	1	[	[	X
ejpam-4249	255	2	5	5	X
ejpam-4249	255	3	]	]	X
ejpam-4249	255	4	jose	jose	PROPN
ejpam-4249	255	5	carlos	carlos	PROPN
ejpam-4249	255	6	r.	r.	PROPN
ejpam-4249	255	7	alcantud	alcantud	PROPN
ejpam-4249	255	8	.	.	PUNCT
ejpam-4249	256	1	an	an	DET
ejpam-4249	256	2	operational	operational	ADJ
ejpam-4249	256	3	characterization	characterization	NOUN
ejpam-4249	256	4	of	of	ADP
ejpam-4249	256	5	soft	soft	ADJ
ejpam-4249	256	6	topologies	topology	NOUN
ejpam-4249	256	7	by	by	ADP
ejpam-4249	256	8	crisp	crisp	ADJ
ejpam-4249	256	9	topologies	topology	NOUN
ejpam-4249	256	10	.	.	PUNCT
ejpam-4249	257	1	mathematics	mathematic	NOUN
ejpam-4249	257	2	,	,	PUNCT
ejpam-4249	257	3	9(14):1656	9(14):1656	NUM
ejpam-4249	257	4	,	,	PUNCT
ejpam-4249	257	5	2021	2021	NUM
ejpam-4249	257	6	.	.	PUNCT
ejpam-4249	258	1	[	[	X
ejpam-4249	258	2	6	6	NUM
ejpam-4249	258	3	]	]	X
ejpam-4249	258	4	jose	jose	PROPN
ejpam-4249	258	5	carlos	carlos	PROPN
ejpam-4249	258	6	r.	r.	PROPN
ejpam-4249	258	7	alcantud	alcantud	PROPN
ejpam-4249	258	8	,	,	PUNCT
ejpam-4249	258	9	tareq	tareq	PROPN
ejpam-4249	258	10	m.	m.	PROPN
ejpam-4249	258	11	al	al	PROPN
ejpam-4249	258	12	-	-	PUNCT
ejpam-4249	258	13	shami	shami	PROPN
ejpam-4249	258	14	,	,	PUNCT
ejpam-4249	258	15	and	and	CCONJ
ejpam-4249	258	16	a.	a.	NOUN
ejpam-4249	258	17	a.	a.	PROPN
ejpam-4249	258	18	azzam	azzam	PROPN
ejpam-4249	258	19	.	.	PROPN
ejpam-4249	258	20	caliber	caliber	PROPN
ejpam-4249	258	21	and	and	CCONJ
ejpam-4249	258	22	chain	chain	NOUN
ejpam-4249	258	23	conditions	condition	NOUN
ejpam-4249	258	24	in	in	ADP
ejpam-4249	258	25	soft	soft	ADJ
ejpam-4249	258	26	topologies	topology	NOUN
ejpam-4249	258	27	.	.	PUNCT
ejpam-4249	259	1	mathematics	mathematic	NOUN
ejpam-4249	259	2	,	,	PUNCT
ejpam-4249	259	3	9	9	NUM
ejpam-4249	259	4	,	,	PUNCT
ejpam-4249	259	5	no.19:1–15	no.19:1–15	NOUN
ejpam-4249	259	6	,	,	PUNCT
ejpam-4249	259	7	2021	2021	NUM
ejpam-4249	259	8	.	.	PUNCT
ejpam-4249	260	1	[	[	X
ejpam-4249	260	2	7	7	X
ejpam-4249	260	3	]	]	X
ejpam-4249	260	4	t.	t.	PROPN
ejpam-4249	260	5	m.	m.	NOUN
ejpam-4249	260	6	alsham	alsham	PROPN
ejpam-4249	260	7	and	and	CCONJ
ejpam-4249	260	8	a.	a.	NOUN
ejpam-4249	260	9	a.	a.	PROPN
ejpam-4249	260	10	azzam	azzam	PROPN
ejpam-4249	260	11	.	.	PUNCT
ejpam-4249	261	1	infra	infra	NOUN
ejpam-4249	261	2	soft	soft	ADJ
ejpam-4249	261	3	semiopen	semiopen	ADJ
ejpam-4249	261	4	sets	set	NOUN
ejpam-4249	261	5	and	and	CCONJ
ejpam-4249	261	6	infra	infra	VERB
ejpam-4249	261	7	soft	soft	ADJ
ejpam-4249	261	8	semicontinuous	semicontinuous	NOUN
ejpam-4249	261	9	.	.	PUNCT
ejpam-4249	262	1	journal	journal	NOUN
ejpam-4249	262	2	of	of	ADP
ejpam-4249	262	3	function	function	NOUN
ejpam-4249	262	4	spaces	space	NOUN
ejpam-4249	262	5	,	,	PUNCT
ejpam-4249	262	6	volume2021	volume2021	NUM
ejpam-4249	262	7	:	:	PUNCT
ejpam-4249	262	8	article	article	NOUN
ejpam-4249	262	9	i	i	PROPN
ejpam-4249	262	10	d	d	PROPN
ejpam-4249	262	11	5716876	5716876	NUM
ejpam-4249	262	12	,	,	PUNCT
ejpam-4249	262	13	2021	2021	NUM
ejpam-4249	262	14	.	.	PUNCT
ejpam-4249	263	1	[	[	X
ejpam-4249	263	2	8	8	NUM
ejpam-4249	263	3	]	]	PUNCT
ejpam-4249	263	4	t.	t.	PROPN
ejpam-4249	263	5	m.	m.	NOUN
ejpam-4249	263	6	alshami	alshami	PROPN
ejpam-4249	263	7	.	.	PUNCT
ejpam-4249	264	1	on	on	ADP
ejpam-4249	264	2	soft	soft	ADJ
ejpam-4249	264	3	separation	separation	NOUN
ejpam-4249	264	4	axioms	axiom	NOUN
ejpam-4249	264	5	and	and	CCONJ
ejpam-4249	264	6	their	their	PRON
ejpam-4249	264	7	applications	application	NOUN
ejpam-4249	264	8	on	on	ADP
ejpam-4249	264	9	decision	decision	NOUN
ejpam-4249	264	10	making	making	NOUN
ejpam-4249	264	11	problem	problem	NOUN
ejpam-4249	264	12	.	.	PUNCT
ejpam-4249	265	1	mathematical	mathematical	ADJ
ejpam-4249	265	2	problems	problem	NOUN
ejpam-4249	265	3	in	in	ADP
ejpam-4249	265	4	engineering	engineering	NOUN
ejpam-4249	265	5	,	,	PUNCT
ejpam-4249	265	6	volume2021	volume2021	PROPN
ejpam-4249	265	7	:	:	PUNCT
ejpam-4249	265	8	article	article	NOUN
ejpam-4249	265	9	i	i	PROPN
ejpam-4249	265	10	d	d	PROPN
ejpam-4249	265	11	8876978	8876978	NUM
ejpam-4249	265	12	,	,	PUNCT
ejpam-4249	265	13	2021	2021	NUM
ejpam-4249	265	14	.	.	PUNCT
ejpam-4249	266	1	[	[	X
ejpam-4249	266	2	9	9	NUM
ejpam-4249	266	3	]	]	PUNCT
ejpam-4249	266	4	a.	a.	NOUN
ejpam-4249	266	5	a.	a.	PROPN
ejpam-4249	266	6	azzam	azzam	PROPN
ejpam-4249	266	7	.	.	PUNCT
ejpam-4249	266	8	grill	grill	PROPN
ejpam-4249	266	9	nano	nano	NOUN
ejpam-4249	266	10	topological	topological	ADJ
ejpam-4249	266	11	spaces	space	NOUN
ejpam-4249	266	12	with	with	ADP
ejpam-4249	266	13	grill	grill	NOUN
ejpam-4249	266	14	nano	nano	NOUN
ejpam-4249	266	15	generalized	generalize	VERB
ejpam-4249	266	16	closed	closed	ADJ
ejpam-4249	266	17	sets	set	NOUN
ejpam-4249	266	18	.	.	PUNCT
ejpam-4249	267	1	journal	journal	NOUN
ejpam-4249	267	2	of	of	ADP
ejpam-4249	267	3	the	the	DET
ejpam-4249	267	4	egyption	egyption	NOUN
ejpam-4249	267	5	mathematical	mathematical	ADJ
ejpam-4249	267	6	socciety	socciety	NOUN
ejpam-4249	267	7	,	,	PUNCT
ejpam-4249	267	8	25	25	NUM
ejpam-4249	267	9	,	,	PUNCT
ejpam-4249	267	10	no.2:164–166	no.2:164–166	NOUN
ejpam-4249	267	11	,	,	PUNCT
ejpam-4249	267	12	2017	2017	NUM
ejpam-4249	267	13	.	.	PUNCT
ejpam-4249	268	1	references	reference	NOUN
ejpam-4249	268	2	134	134	NUM
ejpam-4249	269	1	[	[	X
ejpam-4249	269	2	10	10	NUM
ejpam-4249	269	3	]	]	X
ejpam-4249	269	4	b.chen	b.chen	NOUN
ejpam-4249	269	5	.	.	PUNCT
ejpam-4249	270	1	soft	soft	ADJ
ejpam-4249	270	2	semi	semi	ADJ
ejpam-4249	270	3	-	-	ADJ
ejpam-4249	270	4	open	open	ADJ
ejpam-4249	270	5	sets	set	NOUN
ejpam-4249	270	6	and	and	CCONJ
ejpam-4249	270	7	related	related	ADJ
ejpam-4249	270	8	properties	property	NOUN
ejpam-4249	270	9	in	in	ADP
ejpam-4249	270	10	soft	soft	ADJ
ejpam-4249	270	11	topological	topological	ADJ
ejpam-4249	270	12	spaces	space	NOUN
ejpam-4249	270	13	.	.	PUNCT
ejpam-4249	271	1	applied	apply	VERB
ejpam-4249	271	2	mathematics	mathematic	NOUN
ejpam-4249	271	3	and	and	CCONJ
ejpam-4249	271	4	information	information	NOUN
ejpam-4249	271	5	sciences	science	NOUN
ejpam-4249	271	6	,	,	PUNCT
ejpam-4249	271	7	7	7	NUM
ejpam-4249	271	8	,	,	PUNCT
ejpam-4249	271	9	no.1:287–294	no.1:287–294	NOUN
ejpam-4249	271	10	,	,	PUNCT
ejpam-4249	271	11	2013	2013	NUM
ejpam-4249	271	12	.	.	PUNCT
ejpam-4249	272	1	[	[	X
ejpam-4249	272	2	11	11	NUM
ejpam-4249	272	3	]	]	SYM
ejpam-4249	272	4	d.molodtsov	d.molodtsov	NOUN
ejpam-4249	272	5	.	.	PUNCT
ejpam-4249	272	6	soft	soft	ADJ
ejpam-4249	272	7	set	set	NOUN
ejpam-4249	272	8	theory	theory	NOUN
ejpam-4249	272	9	-	-	PUNCT
ejpam-4249	272	10	first	first	ADJ
ejpam-4249	272	11	result	result	NOUN
ejpam-4249	272	12	.	.	PUNCT
ejpam-4249	273	1	computers	computer	NOUN
ejpam-4249	273	2	and	and	CCONJ
ejpam-4249	273	3	mathematics	mathematic	NOUN
ejpam-4249	273	4	with	with	ADP
ejpam-4249	273	5	application	application	NOUN
ejpam-4249	273	6	,	,	PUNCT
ejpam-4249	273	7	37	37	NUM
ejpam-4249	273	8	,	,	PUNCT
ejpam-4249	273	9	no.4–5:19–31	no.4–5:19–31	PROPN
ejpam-4249	273	10	,	,	PUNCT
ejpam-4249	273	11	1999	1999	NUM
ejpam-4249	273	12	.	.	PUNCT
ejpam-4249	274	1	[	[	X
ejpam-4249	274	2	12	12	NUM
ejpam-4249	274	3	]	]	X
ejpam-4249	274	4	s.	s.	PROPN
ejpam-4249	274	5	dost	dost	PROPN
ejpam-4249	274	6	,	,	PUNCT
ejpam-4249	274	7	l.	l.	PROPN
ejpam-4249	274	8	m.	m.	PROPN
ejpam-4249	274	9	brown	brown	PROPN
ejpam-4249	274	10	,	,	PUNCT
ejpam-4249	274	11	and	and	CCONJ
ejpam-4249	274	12	r.	r.	PROPN
ejpam-4249	274	13	erturk	erturk	PROPN
ejpam-4249	274	14	.	.	PUNCT
ejpam-4249	275	1	β	β	X
ejpam-4249	275	2	open	open	ADJ
ejpam-4249	275	3	and	and	CCONJ
ejpam-4249	275	4	β	β	X
ejpam-4249	275	5	closed	closed	ADJ
ejpam-4249	275	6	sets	set	NOUN
ejpam-4249	275	7	in	in	ADP
ejpam-4249	275	8	ditopology	ditopology	NOUN
ejpam-4249	275	9	texture	texture	NOUN
ejpam-4249	275	10	spaces	space	NOUN
ejpam-4249	275	11	.	.	PUNCT
ejpam-4249	276	1	filomat	filomat	NOUN
ejpam-4249	276	2	,	,	PUNCT
ejpam-4249	276	3	pages	page	NOUN
ejpam-4249	276	4	11–26	11–26	NUM
ejpam-4249	276	5	,	,	PUNCT
ejpam-4249	276	6	2010	2010	NUM
ejpam-4249	276	7	.	.	PUNCT
ejpam-4249	277	1	[	[	X
ejpam-4249	277	2	13	13	NUM
ejpam-4249	277	3	]	]	X
ejpam-4249	277	4	senel	senel	PROPN
ejpam-4249	277	5	g.	g.	PROPN
ejpam-4249	277	6	a	a	DET
ejpam-4249	277	7	new	new	ADJ
ejpam-4249	277	8	approach	approach	NOUN
ejpam-4249	277	9	to	to	ADP
ejpam-4249	277	10	hausdorff	hausdorff	NOUN
ejpam-4249	277	11	space	space	NOUN
ejpam-4249	277	12	theory	theory	NOUN
ejpam-4249	277	13	via	via	ADP
ejpam-4249	277	14	the	the	DET
ejpam-4249	277	15	soft	soft	ADJ
ejpam-4249	277	16	sets	set	NOUN
ejpam-4249	277	17	.	.	PUNCT
ejpam-4249	278	1	mathematical	mathematical	ADJ
ejpam-4249	278	2	problems	problem	NOUN
ejpam-4249	278	3	in	in	ADP
ejpam-4249	278	4	engineering	engineering	NOUN
ejpam-4249	278	5	,	,	PUNCT
ejpam-4249	278	6	9:1–6	9:1–6	NUM
ejpam-4249	278	7	,	,	PUNCT
ejpam-4249	278	8	2016	2016	NUM
ejpam-4249	278	9	.	.	PUNCT
ejpam-4249	279	1	[	[	X
ejpam-4249	279	2	14	14	NUM
ejpam-4249	279	3	]	]	X
ejpam-4249	279	4	senel	senel	PROPN
ejpam-4249	279	5	g.	g.	PROPN
ejpam-4249	279	6	soft	soft	PROPN
ejpam-4249	279	7	topology	topology	NOUN
ejpam-4249	279	8	generated	generate	VERB
ejpam-4249	279	9	by	by	ADP
ejpam-4249	279	10	l	l	NOUN
ejpam-4249	279	11	-	-	ADJ
ejpam-4249	279	12	soft	soft	ADJ
ejpam-4249	279	13	sets	set	NOUN
ejpam-4249	279	14	.	.	PUNCT
ejpam-4249	280	1	journal	journal	NOUN
ejpam-4249	280	2	of	of	ADP
ejpam-4249	280	3	new	new	ADJ
ejpam-4249	280	4	theory	theory	NOUN
ejpam-4249	280	5	,	,	PUNCT
ejpam-4249	280	6	4(24):88–100	4(24):88–100	PROPN
ejpam-4249	280	7	,	,	PUNCT
ejpam-4249	280	8	2018	2018	NUM
ejpam-4249	280	9	.	.	PUNCT
ejpam-4249	281	1	[	[	X
ejpam-4249	281	2	15	15	NUM
ejpam-4249	281	3	]	]	X
ejpam-4249	281	4	senel	senel	PROPN
ejpam-4249	281	5	g.l	g.l	PROPN
ejpam-4249	281	6	,	,	PUNCT
ejpam-4249	281	7	jeong	jeong	PROPN
ejpam-4249	281	8	-	-	PUNCT
ejpam-4249	281	9	gon	gon	PROPN
ejpam-4249	281	10	lee	lee	PROPN
ejpam-4249	281	11	,	,	PUNCT
ejpam-4249	281	12	and	and	CCONJ
ejpam-4249	281	13	kul	kul	PROPN
ejpam-4249	281	14	hur	hur	PROPN
ejpam-4249	281	15	.	.	PROPN
ejpam-4249	281	16	distance	distance	NOUN
ejpam-4249	281	17	and	and	CCONJ
ejpam-4249	281	18	similarity	similarity	NOUN
ejpam-4249	281	19	measures	measure	NOUN
ejpam-4249	281	20	for	for	ADP
ejpam-4249	281	21	octahedron	octahedron	NOUN
ejpam-4249	281	22	sets	set	NOUN
ejpam-4249	281	23	and	and	CCONJ
ejpam-4249	281	24	their	their	PRON
ejpam-4249	281	25	application	application	NOUN
ejpam-4249	281	26	to	to	ADP
ejpam-4249	281	27	mcgdm	mcgdm	ADJ
ejpam-4249	281	28	problems	problem	NOUN
ejpam-4249	281	29	.	.	PUNCT
ejpam-4249	282	1	mathematics	mathematic	NOUN
ejpam-4249	282	2	,	,	PUNCT
ejpam-4249	282	3	8:1690	8:1690	NUM
ejpam-4249	282	4	,	,	PUNCT
ejpam-4249	282	5	2020	2020	NUM
ejpam-4249	282	6	.	.	PUNCT
ejpam-4249	283	1	[	[	X
ejpam-4249	283	2	16	16	NUM
ejpam-4249	283	3	]	]	X
ejpam-4249	283	4	e.	e.	PROPN
ejpam-4249	283	5	hater	hater	PROPN
ejpam-4249	283	6	and	and	CCONJ
ejpam-4249	283	7	s.	s.	PROPN
ejpam-4249	283	8	jafari	jafari	PROPN
ejpam-4249	283	9	.	.	PUNCT
ejpam-4249	284	1	on	on	ADP
ejpam-4249	284	2	some	some	DET
ejpam-4249	284	3	new	new	ADJ
ejpam-4249	284	4	classes	class	NOUN
ejpam-4249	284	5	of	of	ADP
ejpam-4249	284	6	sets	set	NOUN
ejpam-4249	284	7	and	and	CCONJ
ejpam-4249	284	8	a	a	DET
ejpam-4249	284	9	new	new	ADJ
ejpam-4249	284	10	decomposition	decomposition	NOUN
ejpam-4249	284	11	of	of	ADP
ejpam-4249	284	12	continuity	continuity	NOUN
ejpam-4249	284	13	via	via	ADP
ejpam-4249	284	14	grills	grill	NOUN
ejpam-4249	284	15	.	.	PUNCT
ejpam-4249	285	1	journal	journal	NOUN
ejpam-4249	285	2	of	of	ADP
ejpam-4249	285	3	advanced	advanced	ADJ
ejpam-4249	285	4	mathematical	mathematical	ADJ
ejpam-4249	285	5	studies	study	NOUN
ejpam-4249	285	6	,	,	PUNCT
ejpam-4249	285	7	3	3	NUM
ejpam-4249	285	8	,	,	PUNCT
ejpam-4249	285	9	no.1,pp.:33–40	no.1,pp.:33–40	PROPN
ejpam-4249	285	10	,	,	PUNCT
ejpam-4249	285	11	2010	2010	NUM
ejpam-4249	285	12	.	.	PUNCT
ejpam-4249	286	1	[	[	X
ejpam-4249	286	2	17	17	NUM
ejpam-4249	286	3	]	]	SYM
ejpam-4249	286	4	i.arockiarani	i.arockiarani	NOUN
ejpam-4249	286	5	and	and	CCONJ
ejpam-4249	286	6	a.arokialancy	a.arokialancy	NOUN
ejpam-4249	286	7	.	.	PUNCT
ejpam-4249	287	1	generalized	generalize	VERB
ejpam-4249	287	2	soft	soft	ADJ
ejpam-4249	287	3	gβ	gβ	NOUN
ejpam-4249	287	4	closed	close	VERB
ejpam-4249	287	5	sets	set	NOUN
ejpam-4249	287	6	and	and	CCONJ
ejpam-4249	287	7	soft	soft	ADJ
ejpam-4249	287	8	gsβ	gsβ	ADJ
ejpam-4249	287	9	closed	closed	ADJ
ejpam-4249	287	10	sets	set	NOUN
ejpam-4249	287	11	in	in	ADP
ejpam-4249	287	12	soft	soft	ADJ
ejpam-4249	287	13	topological	topological	ADJ
ejpam-4249	287	14	spaces	space	NOUN
ejpam-4249	287	15	.	.	PUNCT
ejpam-4249	288	1	nternational	nternational	ADJ
ejpam-4249	288	2	journal	journal	PROPN
ejpam-4249	288	3	of	of	ADP
ejpam-4249	288	4	mathematical	mathematical	ADJ
ejpam-4249	288	5	archive	archive	NOUN
ejpam-4249	288	6	,	,	PUNCT
ejpam-4249	288	7	4	4	NUM
ejpam-4249	288	8	,	,	PUNCT
ejpam-4249	288	9	no.2:1–7	no.2:1–7	PROPN
ejpam-4249	288	10	,	,	PUNCT
ejpam-4249	288	11	2013	2013	NUM
ejpam-4249	288	12	.	.	PUNCT
ejpam-4249	289	1	[	[	X
ejpam-4249	289	2	18	18	NUM
ejpam-4249	289	3	]	]	PUNCT
ejpam-4249	289	4	i.zorlutuna	i.zorlutuna	NOUN
ejpam-4249	289	5	,	,	PUNCT
ejpam-4249	289	6	w.	w.	PROPN
ejpam-4249	289	7	k.	k.	PROPN
ejpam-4249	289	8	min	min	PROPN
ejpam-4249	289	9	,	,	PUNCT
ejpam-4249	289	10	m.	m.	NOUN
ejpam-4249	289	11	akdag	akdag	PROPN
ejpam-4249	289	12	,	,	PUNCT
ejpam-4249	289	13	and	and	CCONJ
ejpam-4249	289	14	s.	s.	PROPN
ejpam-4249	289	15	atmaca	atmaca	PROPN
ejpam-4249	289	16	.	.	PUNCT
ejpam-4249	290	1	remarks	remark	NOUN
ejpam-4249	290	2	on	on	ADP
ejpam-4249	290	3	soft	soft	ADJ
ejpam-4249	290	4	topological	topological	ADJ
ejpam-4249	290	5	spaces	space	NOUN
ejpam-4249	290	6	.	.	PUNCT
ejpam-4249	291	1	annals	annal	NOUN
ejpam-4249	291	2	of	of	ADP
ejpam-4249	291	3	fuzzy	fuzzy	ADJ
ejpam-4249	291	4	mathematics	mathematic	NOUN
ejpam-4249	291	5	and	and	CCONJ
ejpam-4249	291	6	informatics	informatic	NOUN
ejpam-4249	291	7	,	,	PUNCT
ejpam-4249	291	8	3	3	NUM
ejpam-4249	291	9	,	,	PUNCT
ejpam-4249	291	10	no.2,pp.:171–185	no.2,pp.:171–185	NOUN
ejpam-4249	291	11	,	,	PUNCT
ejpam-4249	291	12	2011	2011	NUM
ejpam-4249	291	13	.	.	PUNCT
ejpam-4249	292	1	[	[	X
ejpam-4249	292	2	19	19	NUM
ejpam-4249	292	3	]	]	PUNCT
ejpam-4249	292	4	m.	m.	NOUN
ejpam-4249	292	5	matejdes	matejde	NOUN
ejpam-4249	292	6	.	.	PUNCT
ejpam-4249	293	1	methodological	methodological	ADJ
ejpam-4249	293	2	remarks	remark	NOUN
ejpam-4249	293	3	on	on	ADP
ejpam-4249	293	4	soft	soft	ADJ
ejpam-4249	293	5	topology	topology	NOUN
ejpam-4249	293	6	.	.	PUNCT
ejpam-4249	294	1	soft	soft	ADJ
ejpam-4249	294	2	computing	computing	NOUN
ejpam-4249	294	3	,	,	PUNCT
ejpam-4249	294	4	25(5):4149–4156	25(5):4149–4156	NUM
ejpam-4249	294	5	,	,	PUNCT
ejpam-4249	294	6	2021	2021	NUM
ejpam-4249	294	7	.	.	PUNCT
ejpam-4249	295	1	[	[	X
ejpam-4249	295	2	20	20	NUM
ejpam-4249	295	3	]	]	PUNCT
ejpam-4249	295	4	m.shabir	m.shabir	NOUN
ejpam-4249	295	5	and	and	CCONJ
ejpam-4249	295	6	m.naz	m.naz	PROPN
ejpam-4249	295	7	.	.	PUNCT
ejpam-4249	296	1	on	on	ADP
ejpam-4249	296	2	soft	soft	ADJ
ejpam-4249	296	3	topological	topological	ADJ
ejpam-4249	296	4	spaces	space	NOUN
ejpam-4249	296	5	.	.	PUNCT
ejpam-4249	297	1	computers	computer	NOUN
ejpam-4249	297	2	and	and	CCONJ
ejpam-4249	297	3	mathematical	mathematical	ADJ
ejpam-4249	297	4	with	with	ADP
ejpam-4249	297	5	applications	application	NOUN
ejpam-4249	297	6	,	,	PUNCT
ejpam-4249	297	7	61	61	NUM
ejpam-4249	297	8	,	,	PUNCT
ejpam-4249	297	9	no.7,pp.:1786–1799	no.7,pp.:1786–1799	NUM
ejpam-4249	297	10	,	,	PUNCT
ejpam-4249	297	11	2011	2011	NUM
ejpam-4249	297	12	.	.	PUNCT
ejpam-4249	298	1	[	[	X
ejpam-4249	298	2	21	21	NUM
ejpam-4249	298	3	]	]	X
ejpam-4249	298	4	p.k.maji	p.k.maji	PROPN
ejpam-4249	298	5	,	,	PUNCT
ejpam-4249	298	6	r.biswas	r.biswas	X
ejpam-4249	298	7	,	,	PUNCT
ejpam-4249	298	8	and	and	CCONJ
ejpam-4249	298	9	a.r.roy	a.r.roy	PROPN
ejpam-4249	298	10	.	.	PUNCT
ejpam-4249	299	1	an	an	DET
ejpam-4249	299	2	application	application	NOUN
ejpam-4249	299	3	of	of	ADP
ejpam-4249	299	4	soft	soft	ADJ
ejpam-4249	299	5	sets	set	NOUN
ejpam-4249	299	6	in	in	ADP
ejpam-4249	299	7	a	a	DET
ejpam-4249	299	8	decision	decision	NOUN
ejpam-4249	299	9	making	make	VERB
ejpam-4249	299	10	problem	problem	NOUN
ejpam-4249	299	11	.	.	PUNCT
ejpam-4249	300	1	computers	computer	NOUN
ejpam-4249	300	2	and	and	CCONJ
ejpam-4249	300	3	mathematics	mathematic	NOUN
ejpam-4249	300	4	with	with	ADP
ejpam-4249	300	5	application	application	NOUN
ejpam-4249	300	6	,	,	PUNCT
ejpam-4249	300	7	44	44	NUM
ejpam-4249	300	8	,	,	PUNCT
ejpam-4249	300	9	no.8	no.8	PROPN
ejpam-4249	300	10	-	-	PUNCT
ejpam-4249	300	11	9:1083–2002	9:1083–2002	NUM
ejpam-4249	300	12	,	,	PUNCT
ejpam-4249	300	13	2002	2002	NUM
ejpam-4249	300	14	.	.	PUNCT
ejpam-4249	301	1	[	[	X
ejpam-4249	301	2	22	22	NUM
ejpam-4249	301	3	]	]	X
ejpam-4249	301	4	p.k.maji	p.k.maji	PROPN
ejpam-4249	301	5	,	,	PUNCT
ejpam-4249	301	6	r.biswas	r.biswas	X
ejpam-4249	301	7	,	,	PUNCT
ejpam-4249	301	8	and	and	CCONJ
ejpam-4249	301	9	a.r.roy	a.r.roy	PROPN
ejpam-4249	301	10	.	.	PUNCT
ejpam-4249	301	11	soft	soft	ADJ
ejpam-4249	301	12	set	set	NOUN
ejpam-4249	301	13	theory	theory	NOUN
ejpam-4249	301	14	.	.	PUNCT
ejpam-4249	302	1	computers	computer	NOUN
ejpam-4249	302	2	and	and	CCONJ
ejpam-4249	302	3	mathematics	mathematic	NOUN
ejpam-4249	302	4	with	with	ADP
ejpam-4249	302	5	application	application	NOUN
ejpam-4249	302	6	,	,	PUNCT
ejpam-4249	302	7	45	45	NUM
ejpam-4249	302	8	,	,	PUNCT
ejpam-4249	302	9	no.4	no.4	PROPN
ejpam-4249	302	10	-	-	PROPN
ejpam-4249	302	11	5:555–562	5:555–562	PROPN
ejpam-4249	302	12	,	,	PUNCT
ejpam-4249	302	13	2003	2003	NUM
ejpam-4249	302	14	.	.	PUNCT
ejpam-4249	303	1	[	[	X
ejpam-4249	303	2	23	23	NUM
ejpam-4249	303	3	]	]	PUNCT
ejpam-4249	303	4	guzide	guzide	PROPN
ejpam-4249	303	5	senel	senel	PROPN
ejpam-4249	303	6	.	.	PUNCT
ejpam-4249	304	1	the	the	DET
ejpam-4249	304	2	theory	theory	NOUN
ejpam-4249	304	3	of	of	ADP
ejpam-4249	304	4	soft	soft	ADJ
ejpam-4249	304	5	ditopological	ditopological	ADJ
ejpam-4249	304	6	spaces	space	NOUN
ejpam-4249	304	7	.	.	PUNCT
ejpam-4249	305	1	international	international	ADJ
ejpam-4249	305	2	journal	journal	PROPN
ejpam-4249	305	3	of	of	ADP
ejpam-4249	305	4	computer	computer	NOUN
ejpam-4249	305	5	applications	application	NOUN
ejpam-4249	305	6	,	,	PUNCT
ejpam-4249	305	7	150	150	NUM
ejpam-4249	305	8	,	,	PUNCT
ejpam-4249	305	9	no.4	no.4	PROPN
ejpam-4249	305	10	,	,	PUNCT
ejpam-4249	305	11	september	september	PROPN
ejpam-4249	305	12	2016	2016	NUM
ejpam-4249	305	13	.	.	PUNCT
ejpam-4249	306	1	[	[	X
ejpam-4249	306	2	24	24	NUM
ejpam-4249	306	3	]	]	PUNCT
ejpam-4249	306	4	t.nori	t.nori	PUNCT
ejpam-4249	306	5	and	and	CCONJ
ejpam-4249	306	6	n.	n.	PROPN
ejpam-4249	306	7	rajesh	rajesh	PROPN
ejpam-4249	306	8	.	.	PUNCT
ejpam-4249	307	1	generalized	generalize	VERB
ejpam-4249	307	2	closed	close	VERB
ejpam-4249	307	3	sets	set	NOUN
ejpam-4249	307	4	with	with	ADP
ejpam-4249	307	5	respect	respect	NOUN
ejpam-4249	307	6	to	to	ADP
ejpam-4249	307	7	an	an	DET
ejpam-4249	307	8	ideal	ideal	NOUN
ejpam-4249	307	9	in	in	ADP
ejpam-4249	307	10	bitopological	bitopological	ADJ
ejpam-4249	307	11	spaces	space	NOUN
ejpam-4249	307	12	.	.	PUNCT
ejpam-4249	308	1	acta	acta	PROPN
ejpam-4249	308	2	math	math	PROPN
ejpam-4249	308	3	.	.	PUNCT
ejpam-4249	309	1	haunger	haunger	PROPN
ejpam-4249	309	2	,	,	PUNCT
ejpam-4249	309	3	2009	2009	NUM
ejpam-4249	309	4	.	.	PUNCT