id	sid	tid	token	lemma	pos
ejpam-3028	1	1	european	european	PROPN
ejpam-3028	1	2	journal	journal	PROPN
ejpam-3028	1	3	of	of	ADP
ejpam-3028	1	4	pure	pure	ADJ
ejpam-3028	1	5	and	and	CCONJ
ejpam-3028	1	6	applied	apply	VERB
ejpam-3028	1	7	mathematics	mathematic	NOUN
ejpam-3028	1	8	vol	vol	NOUN
ejpam-3028	1	9	.	.	PROPN
ejpam-3028	2	1	10	10	NUM
ejpam-3028	2	2	,	,	PUNCT
ejpam-3028	2	3	no	no	INTJ
ejpam-3028	2	4	.	.	NOUN
ejpam-3028	2	5	4	4	NUM
ejpam-3028	2	6	,	,	PUNCT
ejpam-3028	2	7	2017	2017	NUM
ejpam-3028	2	8	,	,	PUNCT
ejpam-3028	2	9	835	835	NUM
ejpam-3028	2	10	-	-	SYM
ejpam-3028	2	11	849	849	NUM
ejpam-3028	2	12	issn	issn	PROPN
ejpam-3028	2	13	1307	1307	NUM
ejpam-3028	2	14	-	-	SYM
ejpam-3028	2	15	5543	5543	NUM
ejpam-3028	2	16	–	–	PUNCT
ejpam-3028	3	1	www.ejpam.com	www.ejpam.com	X
ejpam-3028	3	2	published	publish	VERB
ejpam-3028	3	3	by	by	ADP
ejpam-3028	3	4	new	new	PROPN
ejpam-3028	3	5	york	york	PROPN
ejpam-3028	3	6	business	business	PROPN
ejpam-3028	3	7	global	global	PROPN
ejpam-3028	3	8	on	on	ADP
ejpam-3028	3	9	new	new	ADJ
ejpam-3028	3	10	classes	class	NOUN
ejpam-3028	3	11	of	of	ADP
ejpam-3028	3	12	soft	soft	ADJ
ejpam-3028	3	13	sets	set	NOUN
ejpam-3028	3	14	and	and	CCONJ
ejpam-3028	3	15	functions	function	NOUN
ejpam-3028	3	16	via	via	ADP
ejpam-3028	3	17	supra	supra	PROPN
ejpam-3028	3	18	pre	pre	PROPN
ejpam-3028	3	19	open	open	ADJ
ejpam-3028	3	20	soft	soft	ADJ
ejpam-3028	3	21	sets	set	NOUN
ejpam-3028	3	22	f.	f.	PROPN
ejpam-3028	3	23	a.	a.	PROPN
ejpam-3028	3	24	gharib1,∗	gharib1,∗	PROPN
ejpam-3028	3	25	,	,	PUNCT
ejpam-3028	3	26	m.	m.	NOUN
ejpam-3028	3	27	ezzat	ezzat	PROPN
ejpam-3028	3	28	mohamed1,2	mohamed1,2	PROPN
ejpam-3028	3	29	,	,	PUNCT
ejpam-3028	3	30	a.	a.	PROPN
ejpam-3028	3	31	i.	i.	PROPN
ejpam-3028	3	32	el	el	PROPN
ejpam-3028	3	33	-	-	PROPN
ejpam-3028	3	34	maghrabi3,4	maghrabi3,4	PROPN
ejpam-3028	3	35	1	1	NUM
ejpam-3028	3	36	faculty	faculty	NOUN
ejpam-3028	3	37	of	of	ADP
ejpam-3028	3	38	arts	art	NOUN
ejpam-3028	3	39	and	and	CCONJ
ejpam-3028	3	40	science	science	NOUN
ejpam-3028	3	41	,	,	PUNCT
ejpam-3028	3	42	northern	northern	ADJ
ejpam-3028	3	43	border	border	NOUN
ejpam-3028	3	44	university	university	PROPN
ejpam-3028	3	45	,	,	PUNCT
ejpam-3028	3	46	rafha	rafha	PROPN
ejpam-3028	3	47	,	,	PUNCT
ejpam-3028	3	48	k.	k.	PROPN
ejpam-3028	3	49	s.	s.	PROPN
ejpam-3028	3	50	a.	a.	PROPN
ejpam-3028	3	51	2	2	NUM
ejpam-3028	3	52	mathematics	mathematics	PROPN
ejpam-3028	3	53	department	department	NOUN
ejpam-3028	3	54	,	,	PUNCT
ejpam-3028	3	55	faculty	faculty	NOUN
ejpam-3028	3	56	of	of	ADP
ejpam-3028	3	57	science	science	NOUN
ejpam-3028	3	58	,	,	PUNCT
ejpam-3028	3	59	fayoum	fayoum	PROPN
ejpam-3028	3	60	university	university	PROPN
ejpam-3028	3	61	,	,	PUNCT
ejpam-3028	3	62	fayoum	fayoum	PROPN
ejpam-3028	3	63	,	,	PUNCT
ejpam-3028	3	64	egypt	egypt	PROPN
ejpam-3028	3	65	3department	3department	NUM
ejpam-3028	3	66	,	,	PUNCT
ejpam-3028	3	67	faculty	faculty	NOUN
ejpam-3028	3	68	of	of	ADP
ejpam-3028	3	69	science	science	NOUN
ejpam-3028	3	70	,	,	PUNCT
ejpam-3028	3	71	yanbu	yanbu	ADJ
ejpam-3028	3	72	,	,	PUNCT
ejpam-3028	3	73	branch	branch	NOUN
ejpam-3028	3	74	of	of	ADP
ejpam-3028	3	75	tibah	tibah	PROPN
ejpam-3028	3	76	university	university	PROPN
ejpam-3028	3	77	,	,	PUNCT
ejpam-3028	3	78	yanbu	yanbu	PROPN
ejpam-3028	3	79	al	al	PROPN
ejpam-3028	3	80	-	-	PUNCT
ejpam-3028	3	81	baher	baher	NOUN
ejpam-3028	3	82	,	,	PUNCT
ejpam-3028	3	83	k.	k.	PROPN
ejpam-3028	3	84	s.	s.	PROPN
ejpam-3028	3	85	a.	a.	PROPN
ejpam-3028	3	86	4	4	NUM
ejpam-3028	3	87	mathematics	mathematics	PROPN
ejpam-3028	3	88	department	department	NOUN
ejpam-3028	3	89	,	,	PUNCT
ejpam-3028	3	90	faculty	faculty	NOUN
ejpam-3028	3	91	of	of	ADP
ejpam-3028	3	92	science	science	NOUN
ejpam-3028	3	93	,	,	PUNCT
ejpam-3028	3	94	kafr	kafr	PROPN
ejpam-3028	3	95	el	el	PROPN
ejpam-3028	3	96	-	-	PUNCT
ejpam-3028	3	97	sheikh	sheikh	PROPN
ejpam-3028	3	98	university	university	PROPN
ejpam-3028	3	99	,	,	PUNCT
ejpam-3028	3	100	kafr	kafr	PROPN
ejpam-3028	3	101	el	el	PROPN
ejpam-3028	3	102	-	-	PUNCT
ejpam-3028	3	103	sheikh	sheikh	PROPN
ejpam-3028	3	104	,	,	PUNCT
ejpam-3028	3	105	egypt	egypt	PROPN
ejpam-3028	3	106	.	.	PUNCT
ejpam-3028	3	107	abstract	abstract	PROPN
ejpam-3028	3	108	.	.	PUNCT
ejpam-3028	4	1	in	in	ADP
ejpam-3028	4	2	this	this	DET
ejpam-3028	4	3	paper	paper	NOUN
ejpam-3028	4	4	,	,	PUNCT
ejpam-3028	4	5	we	we	PRON
ejpam-3028	4	6	generalize	generalize	VERB
ejpam-3028	4	7	the	the	DET
ejpam-3028	4	8	notions	notion	NOUN
ejpam-3028	4	9	of	of	ADP
ejpam-3028	4	10	supra	supra	PROPN
ejpam-3028	4	11	soft	soft	ADJ
ejpam-3028	4	12	locally	locally	ADV
ejpam-3028	4	13	closed	close	VERB
ejpam-3028	4	14	sets	set	NOUN
ejpam-3028	4	15	[	[	X
ejpam-3028	4	16	1	1	NUM
ejpam-3028	4	17	]	]	PUNCT
ejpam-3028	4	18	and	and	CCONJ
ejpam-3028	4	19	supra	supra	PROPN
ejpam-3028	4	20	soft	soft	ADJ
ejpam-3028	4	21	α	α	NOUN
ejpam-3028	4	22	-	-	ADJ
ejpam-3028	4	23	locally	locally	ADV
ejpam-3028	4	24	closed	close	VERB
ejpam-3028	4	25	sets	set	NOUN
ejpam-3028	4	26	[	[	X
ejpam-3028	4	27	2	2	NUM
ejpam-3028	4	28	]	]	PUNCT
ejpam-3028	4	29	by	by	ADP
ejpam-3028	4	30	using	use	VERB
ejpam-3028	4	31	the	the	DET
ejpam-3028	4	32	notions	notion	NOUN
ejpam-3028	4	33	of	of	ADP
ejpam-3028	4	34	supra	supra	PROPN
ejpam-3028	4	35	pre	pre	ADJ
ejpam-3028	4	36	-	-	ADJ
ejpam-3028	4	37	open	open	ADJ
ejpam-3028	4	38	soft	soft	ADJ
ejpam-3028	4	39	sets	set	NOUN
ejpam-3028	4	40	[	[	X
ejpam-3028	4	41	13	13	NUM
ejpam-3028	4	42	]	]	PUNCT
ejpam-3028	4	43	.	.	PUNCT
ejpam-3028	5	1	especially	especially	ADV
ejpam-3028	5	2	,	,	PUNCT
ejpam-3028	5	3	we	we	PRON
ejpam-3028	5	4	introduce	introduce	VERB
ejpam-3028	5	5	the	the	DET
ejpam-3028	5	6	notions	notion	NOUN
ejpam-3028	5	7	of	of	ADP
ejpam-3028	5	8	supra	supra	PROPN
ejpam-3028	5	9	soft	soft	ADJ
ejpam-3028	5	10	p	p	NOUN
ejpam-3028	5	11	-locally	-locally	ADV
ejpam-3028	5	12	closed	closed	ADJ
ejpam-3028	5	13	sets	set	NOUN
ejpam-3028	5	14	,	,	PUNCT
ejpam-3028	5	15	supra	supra	PROPN
ejpam-3028	5	16	soft	soft	ADJ
ejpam-3028	5	17	p	p	NOUN
ejpam-3028	5	18	∗-locally	∗-locally	ADV
ejpam-3028	5	19	closed	close	VERB
ejpam-3028	5	20	sets	set	NOUN
ejpam-3028	5	21	and	and	CCONJ
ejpam-3028	5	22	supra	supra	PROPN
ejpam-3028	5	23	soft	soft	ADJ
ejpam-3028	5	24	p	p	X
ejpam-3028	5	25	∗∗-locally	∗∗-locally	ADV
ejpam-3028	5	26	closed	close	VERB
ejpam-3028	5	27	sets	set	NOUN
ejpam-3028	5	28	in	in	ADP
ejpam-3028	5	29	supra	supra	PROPN
ejpam-3028	5	30	soft	soft	ADJ
ejpam-3028	5	31	topological	topological	ADJ
ejpam-3028	5	32	spaces	space	NOUN
ejpam-3028	5	33	.	.	PUNCT
ejpam-3028	6	1	also	also	ADV
ejpam-3028	6	2	,	,	PUNCT
ejpam-3028	6	3	we	we	PRON
ejpam-3028	6	4	discuss	discuss	VERB
ejpam-3028	6	5	their	their	PRON
ejpam-3028	6	6	relationships	relationship	NOUN
ejpam-3028	6	7	with	with	ADP
ejpam-3028	6	8	other	other	ADJ
ejpam-3028	6	9	supra	supra	PROPN
ejpam-3028	6	10	open	open	ADJ
ejpam-3028	6	11	soft	soft	ADJ
ejpam-3028	6	12	sets	set	NOUN
ejpam-3028	6	13	in	in	ADP
ejpam-3028	6	14	detail	detail	NOUN
ejpam-3028	6	15	,	,	PUNCT
ejpam-3028	6	16	supported	support	VERB
ejpam-3028	6	17	by	by	ADP
ejpam-3028	6	18	examples	example	NOUN
ejpam-3028	6	19	and	and	CCONJ
ejpam-3028	6	20	counterexamples	counterexample	NOUN
ejpam-3028	6	21	.	.	PUNCT
ejpam-3028	7	1	these	these	DET
ejpam-3028	7	2	examples	example	NOUN
ejpam-3028	7	3	illustrating	illustrate	VERB
ejpam-3028	7	4	the	the	DET
ejpam-3028	7	5	notions	notion	NOUN
ejpam-3028	7	6	used	use	VERB
ejpam-3028	7	7	in	in	ADP
ejpam-3028	7	8	the	the	DET
ejpam-3028	7	9	paper	paper	NOUN
ejpam-3028	7	10	are	be	AUX
ejpam-3028	7	11	included	include	VERB
ejpam-3028	7	12	.	.	PUNCT
ejpam-3028	8	1	so	so	ADV
ejpam-3028	8	2	we	we	PRON
ejpam-3028	8	3	can	can	AUX
ejpam-3028	8	4	see	see	VERB
ejpam-3028	8	5	that	that	SCONJ
ejpam-3028	8	6	all	all	DET
ejpam-3028	8	7	these	these	DET
ejpam-3028	8	8	concepts	concept	NOUN
ejpam-3028	8	9	are	be	AUX
ejpam-3028	8	10	independent	independent	ADJ
ejpam-3028	8	11	from	from	ADP
ejpam-3028	8	12	each	each	DET
ejpam-3028	8	13	other	other	ADJ
ejpam-3028	8	14	or	or	CCONJ
ejpam-3028	8	15	does	do	AUX
ejpam-3028	8	16	implies	imply	VERB
ejpam-3028	8	17	the	the	DET
ejpam-3028	8	18	other	other	ADJ
ejpam-3028	8	19	.	.	PUNCT
ejpam-3028	9	1	also	also	ADV
ejpam-3028	9	2	,	,	PUNCT
ejpam-3028	9	3	we	we	PRON
ejpam-3028	9	4	introduce	introduce	VERB
ejpam-3028	9	5	three	three	NUM
ejpam-3028	9	6	different	different	ADJ
ejpam-3028	9	7	notions	notion	NOUN
ejpam-3028	9	8	of	of	ADP
ejpam-3028	9	9	generalized	generalized	ADJ
ejpam-3028	9	10	supra	supra	ADJ
ejpam-3028	9	11	soft	soft	ADJ
ejpam-3028	9	12	continuity	continuity	NOUN
ejpam-3028	9	13	,	,	PUNCT
ejpam-3028	9	14	namely	namely	ADV
ejpam-3028	9	15	supra	supra	PROPN
ejpam-3028	9	16	splc	splc	ADJ
ejpam-3028	9	17	-	-	ADJ
ejpam-3028	9	18	continuous	continuous	ADJ
ejpam-3028	9	19	functions	function	NOUN
ejpam-3028	9	20	,	,	PUNCT
ejpam-3028	9	21	supra	supra	NOUN
ejpam-3028	9	22	sp	sp	ADP
ejpam-3028	9	23	∗lc	∗lc	ADJ
ejpam-3028	9	24	-	-	PUNCT
ejpam-3028	9	25	continuous	continuous	ADJ
ejpam-3028	9	26	functions	function	NOUN
ejpam-3028	9	27	and	and	CCONJ
ejpam-3028	9	28	supra	supra	NOUN
ejpam-3028	9	29	sp	sp	ADP
ejpam-3028	9	30	∗∗lc	∗∗lc	NOUN
ejpam-3028	9	31	-	-	PUNCT
ejpam-3028	9	32	continuous	continuous	ADJ
ejpam-3028	9	33	functions	function	NOUN
ejpam-3028	9	34	.	.	PUNCT
ejpam-3028	10	1	furthermore	furthermore	ADV
ejpam-3028	10	2	,	,	PUNCT
ejpam-3028	10	3	we	we	PRON
ejpam-3028	10	4	investigated	investigate	VERB
ejpam-3028	10	5	some	some	DET
ejpam-3028	10	6	relations	relation	NOUN
ejpam-3028	10	7	of	of	ADP
ejpam-3028	10	8	these	these	DET
ejpam-3028	10	9	functions	function	NOUN
ejpam-3028	10	10	with	with	ADP
ejpam-3028	10	11	other	other	ADJ
ejpam-3028	10	12	types	type	NOUN
ejpam-3028	10	13	of	of	ADP
ejpam-3028	10	14	soft	soft	ADJ
ejpam-3028	10	15	functions	function	NOUN
ejpam-3028	10	16	.	.	PUNCT
ejpam-3028	11	1	2010	2010	NUM
ejpam-3028	11	2	mathematics	mathematic	NOUN
ejpam-3028	11	3	subject	subject	NOUN
ejpam-3028	11	4	classifications	classification	NOUN
ejpam-3028	11	5	:	:	PUNCT
ejpam-3028	11	6	54a05	54a05	NUM
ejpam-3028	11	7	,	,	PUNCT
ejpam-3028	11	8	54a40	54a40	NUM
ejpam-3028	11	9	,	,	PUNCT
ejpam-3028	11	10	54b05	54b05	NUM
ejpam-3028	11	11	,	,	PUNCT
ejpam-3028	11	12	06d72	06d72	VERB
ejpam-3028	11	13	key	key	ADJ
ejpam-3028	11	14	words	word	NOUN
ejpam-3028	11	15	and	and	CCONJ
ejpam-3028	11	16	phrases	phrase	NOUN
ejpam-3028	11	17	:	:	PUNCT
ejpam-3028	11	18	supra	supra	ADJ
ejpam-3028	11	19	soft	soft	ADJ
ejpam-3028	11	20	topological	topological	ADJ
ejpam-3028	11	21	space	space	NOUN
ejpam-3028	11	22	,	,	PUNCT
ejpam-3028	11	23	supra	supra	ADJ
ejpam-3028	11	24	a	a	PRON
ejpam-3028	11	25	-	-	PUNCT
ejpam-3028	11	26	soft	soft	ADJ
ejpam-3028	11	27	sets	set	NOUN
ejpam-3028	11	28	,	,	PUNCT
ejpam-3028	11	29	supra	supra	PROPN
ejpam-3028	11	30	soft	soft	ADJ
ejpam-3028	11	31	p	p	NOUN
ejpam-3028	11	32	-locally	-locally	ADV
ejpam-3028	11	33	closed	closed	ADJ
ejpam-3028	11	34	sets	set	NOUN
ejpam-3028	11	35	,	,	PUNCT
ejpam-3028	11	36	supra	supra	PROPN
ejpam-3028	11	37	splc	splc	ADJ
ejpam-3028	11	38	-	-	ADJ
ejpam-3028	11	39	continuous	continuous	ADJ
ejpam-3028	11	40	functions	function	NOUN
ejpam-3028	11	41	.	.	PUNCT
ejpam-3028	12	1	1	1	X
ejpam-3028	12	2	.	.	X
ejpam-3028	12	3	introduction	introduction	NOUN
ejpam-3028	12	4	in	in	ADP
ejpam-3028	12	5	1983	1983	NUM
ejpam-3028	12	6	,	,	PUNCT
ejpam-3028	12	7	mashhour	mashhour	PROPN
ejpam-3028	12	8	et	et	PROPN
ejpam-3028	12	9	al	al	PROPN
ejpam-3028	12	10	.	.	PUNCT
ejpam-3028	13	1	[	[	X
ejpam-3028	13	2	17	17	NUM
ejpam-3028	13	3	]	]	PUNCT
ejpam-3028	13	4	introduced	introduce	VERB
ejpam-3028	13	5	the	the	DET
ejpam-3028	13	6	supra	supra	PROPN
ejpam-3028	13	7	topological	topological	ADJ
ejpam-3028	13	8	spaces	space	NOUN
ejpam-3028	13	9	,	,	PUNCT
ejpam-3028	13	10	not	not	PART
ejpam-3028	13	11	only	only	ADV
ejpam-3028	13	12	,	,	PUNCT
ejpam-3028	13	13	as	as	ADP
ejpam-3028	13	14	a	a	DET
ejpam-3028	13	15	generalization	generalization	NOUN
ejpam-3028	13	16	to	to	ADP
ejpam-3028	13	17	the	the	DET
ejpam-3028	13	18	class	class	NOUN
ejpam-3028	13	19	of	of	ADP
ejpam-3028	13	20	topological	topological	ADJ
ejpam-3028	13	21	spaces	space	NOUN
ejpam-3028	13	22	,	,	PUNCT
ejpam-3028	13	23	but	but	CCONJ
ejpam-3028	13	24	also	also	ADV
ejpam-3028	13	25	,	,	PUNCT
ejpam-3028	13	26	these	these	DET
ejpam-3028	13	27	spaces	space	NOUN
ejpam-3028	13	28	were	be	AUX
ejpam-3028	13	29	easier	easy	ADJ
ejpam-3028	13	30	in	in	ADP
ejpam-3028	13	31	the	the	DET
ejpam-3028	13	32	application	application	NOUN
ejpam-3028	13	33	as	as	SCONJ
ejpam-3028	13	34	shown	show	VERB
ejpam-3028	13	35	in	in	ADP
ejpam-3028	13	36	[	[	X
ejpam-3028	13	37	11	11	NUM
ejpam-3028	13	38	]	]	PUNCT
ejpam-3028	13	39	.	.	PUNCT
ejpam-3028	14	1	in	in	ADP
ejpam-3028	14	2	2001	2001	NUM
ejpam-3028	14	3	,	,	PUNCT
ejpam-3028	14	4	popa	popa	NOUN
ejpam-3028	14	5	et	et	PROPN
ejpam-3028	14	6	al	al	PROPN
ejpam-3028	14	7	.	.	PUNCT
ejpam-3028	15	1	[	[	X
ejpam-3028	15	2	19	19	NUM
ejpam-3028	15	3	]	]	PUNCT
ejpam-3028	15	4	generalized	generalize	VERB
ejpam-3028	15	5	the	the	DET
ejpam-3028	15	6	supra	supra	PROPN
ejpam-3028	15	7	topological	topological	ADJ
ejpam-3028	15	8	spaces	space	NOUN
ejpam-3028	15	9	to	to	ADP
ejpam-3028	15	10	the	the	DET
ejpam-3028	15	11	minimal	minimal	ADJ
ejpam-3028	15	12	spaces	space	NOUN
ejpam-3028	15	13	and	and	CCONJ
ejpam-3028	15	14	generalized	generalized	ADJ
ejpam-3028	15	15	spaces	space	NOUN
ejpam-3028	15	16	as	as	ADP
ejpam-3028	15	17	a	a	DET
ejpam-3028	15	18	new	new	ADJ
ejpam-3028	15	19	wider	wide	ADJ
ejpam-3028	15	20	classes	class	NOUN
ejpam-3028	15	21	.	.	PUNCT
ejpam-3028	16	1	in	in	ADP
ejpam-3028	16	2	2007	2007	NUM
ejpam-3028	16	3	,	,	PUNCT
ejpam-3028	16	4	arpad	arpad	PROPN
ejpam-3028	16	5	szaz	szaz	PROPN
ejpam-3028	17	1	[	[	X
ejpam-3028	17	2	12	12	NUM
ejpam-3028	17	3	]	]	PUNCT
ejpam-3028	17	4	succeed	succeed	VERB
ejpam-3028	17	5	to	to	PART
ejpam-3028	17	6	introduce	introduce	VERB
ejpam-3028	17	7	an	an	DET
ejpam-3028	17	8	application	application	NOUN
ejpam-3028	17	9	on	on	ADP
ejpam-3028	17	10	the	the	DET
ejpam-3028	17	11	minimal	minimal	ADJ
ejpam-3028	17	12	spaces	space	NOUN
ejpam-3028	17	13	and	and	CCONJ
ejpam-3028	17	14	generalized	generalized	ADJ
ejpam-3028	17	15	spaces	space	NOUN
ejpam-3028	17	16	.	.	PUNCT
ejpam-3028	18	1	in	in	ADP
ejpam-3028	18	2	1987	1987	NUM
ejpam-3028	18	3	,	,	PUNCT
ejpam-3028	18	4	abd	abd	PROPN
ejpam-3028	18	5	el	el	PROPN
ejpam-3028	18	6	-	-	PROPN
ejpam-3028	18	7	monsef	monsef	PROPN
ejpam-3028	18	8	et	et	PROPN
ejpam-3028	18	9	al	al	PROPN
ejpam-3028	18	10	.	.	PUNCT
ejpam-3028	19	1	[	[	X
ejpam-3028	19	2	9	9	NUM
ejpam-3028	19	3	]	]	PUNCT
ejpam-3028	19	4	introduced	introduce	VERB
ejpam-3028	19	5	the	the	DET
ejpam-3028	19	6	fuzzy	fuzzy	ADJ
ejpam-3028	19	7	supra	supra	PROPN
ejpam-3028	19	8	topological	topological	ADJ
ejpam-3028	19	9	spaces	space	NOUN
ejpam-3028	19	10	.	.	PUNCT
ejpam-3028	20	1	in	in	ADP
ejpam-3028	20	2	2001	2001	NUM
ejpam-3028	20	3	,	,	PUNCT
ejpam-3028	20	4	∗corresponding	∗corresponde	VERB
ejpam-3028	20	5	author	author	NOUN
ejpam-3028	20	6	.	.	PUNCT
ejpam-3028	21	1	email	email	NOUN
ejpam-3028	21	2	addresses	address	NOUN
ejpam-3028	21	3	:	:	PUNCT
ejpam-3028	21	4	fatouhalmg@yahoo.com	fatouhalmg@yahoo.com	X
ejpam-3028	22	1	(	(	PUNCT
ejpam-3028	22	2	f.	f.	PROPN
ejpam-3028	22	3	a.	a.	PROPN
ejpam-3028	22	4	gharib	gharib	PROPN
ejpam-3028	22	5	)	)	PUNCT
ejpam-3028	22	6	,	,	PUNCT
ejpam-3028	22	7	mohaezzat@yahoo.com	mohaezzat@yahoo.com	X
ejpam-3028	22	8	(	(	PUNCT
ejpam-3028	22	9	m.	m.	PROPN
ejpam-3028	22	10	ezzat	ezzat	PROPN
ejpam-3028	22	11	mohamed	mohamed	PROPN
ejpam-3028	22	12	)	)	PUNCT
ejpam-3028	22	13	,	,	PUNCT
ejpam-3028	22	14	aelmaghrabi@yahoo.com	aelmaghrabi@yahoo.com	X
ejpam-3028	22	15	(	(	PUNCT
ejpam-3028	22	16	a.	a.	PROPN
ejpam-3028	22	17	i.	i.	PROPN
ejpam-3028	22	18	el	el	PROPN
ejpam-3028	22	19	-	-	PUNCT
ejpam-3028	22	20	maghrabi	maghrabi	NOUN
ejpam-3028	22	21	)	)	PUNCT
ejpam-3028	22	22	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3028	22	23	835	835	NUM
ejpam-3028	23	1	c	c	NOUN
ejpam-3028	23	2	©	©	PROPN
ejpam-3028	23	3	2017	2017	NUM
ejpam-3028	23	4	ejpam	ejpam	VERB
ejpam-3028	23	5	all	all	DET
ejpam-3028	23	6	rights	right	NOUN
ejpam-3028	23	7	reserved	reserve	VERB
ejpam-3028	23	8	.	.	PUNCT
ejpam-3028	24	1	f.	f.	PROPN
ejpam-3028	24	2	a.	a.	PROPN
ejpam-3028	24	3	gharib	gharib	PROPN
ejpam-3028	24	4	et	et	PROPN
ejpam-3028	24	5	al	al	PROPN
ejpam-3028	24	6	.	.	PUNCT
ejpam-3028	24	7	/	/	SYM
ejpam-3028	24	8	eur	eur	PROPN
ejpam-3028	24	9	.	.	PUNCT
ejpam-3028	25	1	j.	j.	PROPN
ejpam-3028	25	2	pure	pure	PROPN
ejpam-3028	25	3	appl	appl	PROPN
ejpam-3028	25	4	.	.	PROPN
ejpam-3028	25	5	math	math	PROPN
ejpam-3028	25	6	,	,	PUNCT
ejpam-3028	25	7	10	10	NUM
ejpam-3028	25	8	(	(	PUNCT
ejpam-3028	25	9	4	4	NUM
ejpam-3028	25	10	)	)	PUNCT
ejpam-3028	25	11	(	(	PUNCT
ejpam-3028	25	12	2017	2017	NUM
ejpam-3028	25	13	)	)	PUNCT
ejpam-3028	25	14	,	,	PUNCT
ejpam-3028	25	15	835	835	NUM
ejpam-3028	25	16	-	-	SYM
ejpam-3028	25	17	849	849	NUM
ejpam-3028	25	18	836	836	NUM
ejpam-3028	25	19	el	el	ADJ
ejpam-3028	25	20	-	-	PUNCT
ejpam-3028	25	21	sheikh	sheikh	NOUN
ejpam-3028	25	22	success	success	NOUN
ejpam-3028	25	23	to	to	PART
ejpam-3028	25	24	use	use	VERB
ejpam-3028	25	25	the	the	DET
ejpam-3028	25	26	fuzzy	fuzzy	ADJ
ejpam-3028	25	27	supra	supra	PROPN
ejpam-3028	25	28	topology	topology	NOUN
ejpam-3028	25	29	to	to	PART
ejpam-3028	25	30	study	study	VERB
ejpam-3028	25	31	some	some	DET
ejpam-3028	25	32	topological	topological	ADJ
ejpam-3028	25	33	properties	property	NOUN
ejpam-3028	25	34	to	to	ADP
ejpam-3028	25	35	the	the	DET
ejpam-3028	25	36	fuzzy	fuzzy	ADJ
ejpam-3028	25	37	bitopological	bitopological	ADJ
ejpam-3028	25	38	spaces	space	NOUN
ejpam-3028	25	39	.	.	PUNCT
ejpam-3028	26	1	the	the	DET
ejpam-3028	26	2	notions	notion	NOUN
ejpam-3028	26	3	of	of	ADP
ejpam-3028	26	4	supra	supra	PROPN
ejpam-3028	26	5	soft	soft	ADJ
ejpam-3028	26	6	topological	topological	ADJ
ejpam-3028	26	7	space	space	NOUN
ejpam-3028	26	8	were	be	AUX
ejpam-3028	26	9	first	first	ADV
ejpam-3028	26	10	introduced	introduce	VERB
ejpam-3028	26	11	by	by	ADP
ejpam-3028	26	12	el	el	PROPN
ejpam-3028	26	13	-	-	PUNCT
ejpam-3028	26	14	sheikh	sheikh	PROPN
ejpam-3028	26	15	et	et	PROPN
ejpam-3028	26	16	al	al	PROPN
ejpam-3028	26	17	.	.	PUNCT
ejpam-3028	27	1	[	[	X
ejpam-3028	27	2	13	13	NUM
ejpam-3028	27	3	]	]	PUNCT
ejpam-3028	27	4	.	.	PUNCT
ejpam-3028	28	1	various	various	ADJ
ejpam-3028	28	2	applications	application	NOUN
ejpam-3028	28	3	and	and	CCONJ
ejpam-3028	28	4	topological	topological	ADJ
ejpam-3028	28	5	properties	property	NOUN
ejpam-3028	28	6	on	on	ADP
ejpam-3028	28	7	supra	supra	PROPN
ejpam-3028	28	8	soft	soft	ADJ
ejpam-3028	28	9	topological	topological	ADJ
ejpam-3028	28	10	spaces	space	NOUN
ejpam-3028	28	11	were	be	AUX
ejpam-3028	28	12	introduced	introduce	VERB
ejpam-3028	28	13	recently	recently	ADV
ejpam-3028	28	14	in	in	ADP
ejpam-3028	28	15	[	[	X
ejpam-3028	28	16	[	[	X
ejpam-3028	28	17	3	3	NUM
ejpam-3028	28	18	-	-	SYM
ejpam-3028	28	19	8	8	NUM
ejpam-3028	28	20	]	]	PUNCT
ejpam-3028	28	21	,	,	PUNCT
ejpam-3028	28	22	[	[	X
ejpam-3028	28	23	16	16	NUM
ejpam-3028	28	24	]	]	X
ejpam-3028	28	25	]	]	PUNCT
ejpam-3028	28	26	.	.	PUNCT
ejpam-3028	29	1	properties	property	NOUN
ejpam-3028	29	2	of	of	ADP
ejpam-3028	29	3	soft	soft	ADJ
ejpam-3028	29	4	category	category	NOUN
ejpam-3028	29	5	and	and	CCONJ
ejpam-3028	29	6	homotopy	homotopy	NOUN
ejpam-3028	29	7	are	be	AUX
ejpam-3028	29	8	introduced	introduce	VERB
ejpam-3028	29	9	in	in	ADP
ejpam-3028	29	10	[	[	X
ejpam-3028	29	11	22,23,24	22,23,24	NUM
ejpam-3028	29	12	]	]	PUNCT
ejpam-3028	29	13	.	.	PUNCT
ejpam-3028	30	1	a.	a.	PROPN
ejpam-3028	30	2	m.	m.	PROPN
ejpam-3028	30	3	abd	abd	PROPN
ejpam-3028	30	4	el	el	PROPN
ejpam-3028	30	5	-	-	PROPN
ejpam-3028	30	6	latif	latif	PROPN
ejpam-3028	30	7	[	[	X
ejpam-3028	30	8	1	1	NUM
ejpam-3028	30	9	]	]	PUNCT
ejpam-3028	30	10	,	,	PUNCT
ejpam-3028	30	11	introduced	introduce	VERB
ejpam-3028	30	12	the	the	DET
ejpam-3028	30	13	concepts	concept	NOUN
ejpam-3028	30	14	of	of	ADP
ejpam-3028	30	15	supra	supra	PROPN
ejpam-3028	30	16	soft	soft	ADJ
ejpam-3028	30	17	locally	locally	ADV
ejpam-3028	30	18	closed	close	VERB
ejpam-3028	30	19	sets	set	NOUN
ejpam-3028	30	20	and	and	CCONJ
ejpam-3028	30	21	supra	supra	PROPN
ejpam-3028	30	22	slc	slc	PROPN
ejpam-3028	30	23	-	-	PUNCT
ejpam-3028	30	24	continuous	continuous	ADJ
ejpam-3028	30	25	functions	function	NOUN
ejpam-3028	30	26	in	in	ADP
ejpam-3028	30	27	supra	supra	PROPN
ejpam-3028	30	28	soft	soft	ADJ
ejpam-3028	30	29	topological	topological	ADJ
ejpam-3028	30	30	spaces	space	NOUN
ejpam-3028	30	31	.	.	PUNCT
ejpam-3028	31	1	our	our	PRON
ejpam-3028	31	2	aim	aim	NOUN
ejpam-3028	31	3	of	of	ADP
ejpam-3028	31	4	this	this	DET
ejpam-3028	31	5	paper	paper	NOUN
ejpam-3028	31	6	,	,	PUNCT
ejpam-3028	31	7	is	be	AUX
ejpam-3028	31	8	to	to	PART
ejpam-3028	31	9	generalize	generalize	VERB
ejpam-3028	31	10	these	these	DET
ejpam-3028	31	11	notions	notion	NOUN
ejpam-3028	31	12	by	by	ADP
ejpam-3028	31	13	using	use	VERB
ejpam-3028	31	14	the	the	DET
ejpam-3028	31	15	notion	notion	NOUN
ejpam-3028	31	16	of	of	ADP
ejpam-3028	31	17	supra	supra	PROPN
ejpam-3028	31	18	pre	pre	ADJ
ejpam-3028	31	19	-	-	ADJ
ejpam-3028	31	20	open	open	ADJ
ejpam-3028	31	21	soft	soft	ADJ
ejpam-3028	31	22	sets	set	NOUN
ejpam-3028	31	23	and	and	CCONJ
ejpam-3028	31	24	discuss	discuss	VERB
ejpam-3028	31	25	some	some	PRON
ejpam-3028	31	26	of	of	ADP
ejpam-3028	31	27	their	their	PRON
ejpam-3028	31	28	basic	basic	ADJ
ejpam-3028	31	29	properties	property	NOUN
ejpam-3028	31	30	.	.	PUNCT
ejpam-3028	32	1	2	2	X
ejpam-3028	32	2	.	.	X
ejpam-3028	32	3	preliminaries	preliminary	NOUN
ejpam-3028	32	4	in	in	ADP
ejpam-3028	32	5	this	this	DET
ejpam-3028	32	6	section	section	NOUN
ejpam-3028	32	7	,	,	PUNCT
ejpam-3028	32	8	we	we	PRON
ejpam-3028	32	9	present	present	VERB
ejpam-3028	32	10	the	the	DET
ejpam-3028	32	11	basic	basic	ADJ
ejpam-3028	32	12	definitions	definition	NOUN
ejpam-3028	32	13	and	and	CCONJ
ejpam-3028	32	14	results	result	NOUN
ejpam-3028	32	15	of	of	ADP
ejpam-3028	32	16	soft	soft	ADJ
ejpam-3028	32	17	set	set	NOUN
ejpam-3028	32	18	theory	theory	NOUN
ejpam-3028	32	19	and	and	CCONJ
ejpam-3028	32	20	supra	supra	ADJ
ejpam-3028	32	21	soft	soft	ADJ
ejpam-3028	32	22	topology	topology	NOUN
ejpam-3028	32	23	.	.	PUNCT
ejpam-3028	33	1	definition	definition	NOUN
ejpam-3028	33	2	1	1	NUM
ejpam-3028	33	3	(	(	PUNCT
ejpam-3028	33	4	18	18	NUM
ejpam-3028	33	5	)	)	PUNCT
ejpam-3028	33	6	.	.	PUNCT
ejpam-3028	34	1	let	let	VERB
ejpam-3028	34	2	x	x	PRON
ejpam-3028	34	3	be	be	AUX
ejpam-3028	34	4	an	an	DET
ejpam-3028	34	5	initial	initial	ADJ
ejpam-3028	34	6	universe	universe	NOUN
ejpam-3028	34	7	and	and	CCONJ
ejpam-3028	34	8	e	e	NOUN
ejpam-3028	34	9	be	be	AUX
ejpam-3028	34	10	a	a	DET
ejpam-3028	34	11	set	set	NOUN
ejpam-3028	34	12	of	of	ADP
ejpam-3028	34	13	parameters	parameter	NOUN
ejpam-3028	34	14	.	.	PUNCT
ejpam-3028	35	1	let	let	VERB
ejpam-3028	35	2	p	p	NOUN
ejpam-3028	35	3	(	(	PUNCT
ejpam-3028	35	4	x	x	NOUN
ejpam-3028	35	5	)	)	PUNCT
ejpam-3028	35	6	denote	denote	VERB
ejpam-3028	35	7	the	the	DET
ejpam-3028	35	8	power	power	NOUN
ejpam-3028	35	9	set	set	NOUN
ejpam-3028	35	10	of	of	ADP
ejpam-3028	35	11	x	x	PROPN
ejpam-3028	35	12	and	and	CCONJ
ejpam-3028	35	13	a	a	DET
ejpam-3028	35	14	be	be	AUX
ejpam-3028	35	15	a	a	DET
ejpam-3028	35	16	non	non	ADJ
ejpam-3028	35	17	-	-	ADJ
ejpam-3028	35	18	empty	empty	ADJ
ejpam-3028	35	19	subset	subset	NOUN
ejpam-3028	35	20	of	of	ADP
ejpam-3028	35	21	e.	e.	PROPN
ejpam-3028	35	22	a	a	DET
ejpam-3028	35	23	pair	pair	NOUN
ejpam-3028	35	24	(	(	PUNCT
ejpam-3028	35	25	f	f	X
ejpam-3028	35	26	,	,	PUNCT
ejpam-3028	35	27	a	a	PRON
ejpam-3028	35	28	)	)	PUNCT
ejpam-3028	35	29	denoted	denote	VERB
ejpam-3028	35	30	by	by	ADP
ejpam-3028	35	31	fa	fa	PROPN
ejpam-3028	35	32	is	be	AUX
ejpam-3028	35	33	called	call	VERB
ejpam-3028	35	34	a	a	DET
ejpam-3028	35	35	soft	soft	ADJ
ejpam-3028	35	36	set	set	NOUN
ejpam-3028	35	37	over	over	ADP
ejpam-3028	35	38	x	x	PUNCT
ejpam-3028	35	39	,	,	PUNCT
ejpam-3028	35	40	where	where	SCONJ
ejpam-3028	35	41	f	f	PROPN
ejpam-3028	35	42	is	be	AUX
ejpam-3028	35	43	a	a	DET
ejpam-3028	35	44	mapping	mapping	NOUN
ejpam-3028	35	45	given	give	VERB
ejpam-3028	35	46	by	by	ADP
ejpam-3028	35	47	f	f	PROPN
ejpam-3028	35	48	:	:	PUNCT
ejpam-3028	35	49	a	a	DET
ejpam-3028	35	50	→	→	X
ejpam-3028	35	51	p	p	X
ejpam-3028	35	52	(	(	PUNCT
ejpam-3028	35	53	x	x	NOUN
ejpam-3028	35	54	)	)	PUNCT
ejpam-3028	35	55	.	.	PUNCT
ejpam-3028	36	1	in	in	ADP
ejpam-3028	36	2	other	other	ADJ
ejpam-3028	36	3	words	word	NOUN
ejpam-3028	36	4	,	,	PUNCT
ejpam-3028	36	5	a	a	DET
ejpam-3028	36	6	soft	soft	ADJ
ejpam-3028	36	7	set	set	NOUN
ejpam-3028	36	8	over	over	ADP
ejpam-3028	36	9	x	x	PUNCT
ejpam-3028	36	10	is	be	AUX
ejpam-3028	36	11	a	a	DET
ejpam-3028	36	12	parametrized	parametrized	ADJ
ejpam-3028	36	13	family	family	NOUN
ejpam-3028	36	14	of	of	ADP
ejpam-3028	36	15	subsets	subset	NOUN
ejpam-3028	36	16	of	of	ADP
ejpam-3028	36	17	the	the	DET
ejpam-3028	36	18	universe	universe	ADJ
ejpam-3028	36	19	x.	x.	NOUN
ejpam-3028	36	20	for	for	ADP
ejpam-3028	36	21	a	a	DET
ejpam-3028	36	22	particular	particular	ADJ
ejpam-3028	36	23	e	e	X
ejpam-3028	36	24	∈	∈	PROPN
ejpam-3028	36	25	a	a	DET
ejpam-3028	36	26	,	,	PUNCT
ejpam-3028	36	27	f	f	PROPN
ejpam-3028	36	28	(	(	PUNCT
ejpam-3028	36	29	e	e	NOUN
ejpam-3028	36	30	)	)	PUNCT
ejpam-3028	36	31	may	may	AUX
ejpam-3028	36	32	be	be	AUX
ejpam-3028	36	33	considered	consider	VERB
ejpam-3028	36	34	the	the	DET
ejpam-3028	36	35	set	set	NOUN
ejpam-3028	36	36	of	of	ADP
ejpam-3028	36	37	e	e	NOUN
ejpam-3028	36	38	-	-	ADJ
ejpam-3028	36	39	approximate	approximate	ADJ
ejpam-3028	36	40	elements	element	NOUN
ejpam-3028	36	41	of	of	ADP
ejpam-3028	36	42	the	the	DET
ejpam-3028	36	43	soft	soft	ADJ
ejpam-3028	36	44	set	set	NOUN
ejpam-3028	36	45	(	(	PUNCT
ejpam-3028	36	46	f	f	X
ejpam-3028	36	47	,	,	PUNCT
ejpam-3028	36	48	a	a	PRON
ejpam-3028	36	49	)	)	PUNCT
ejpam-3028	36	50	and	and	CCONJ
ejpam-3028	36	51	if	if	SCONJ
ejpam-3028	36	52	e	e	PROPN
ejpam-3028	36	53	6∈	6∈	PROPN
ejpam-3028	36	54	a	a	X
ejpam-3028	36	55	,	,	PUNCT
ejpam-3028	36	56	then	then	ADV
ejpam-3028	36	57	f	f	X
ejpam-3028	36	58	(	(	PUNCT
ejpam-3028	36	59	e	e	NOUN
ejpam-3028	36	60	)	)	PUNCT
ejpam-3028	36	61	=	=	SYM
ejpam-3028	37	1	ϕ	ϕ	PROPN
ejpam-3028	37	2	i.e	i.e	X
ejpam-3028	37	3	(	(	PUNCT
ejpam-3028	37	4	f	f	PROPN
ejpam-3028	37	5	,	,	PUNCT
ejpam-3028	37	6	a	a	PRON
ejpam-3028	37	7	)	)	PUNCT
ejpam-3028	37	8	=	=	SYM
ejpam-3028	37	9	{	{	PUNCT
ejpam-3028	37	10	(	(	PUNCT
ejpam-3028	37	11	e	e	NOUN
ejpam-3028	37	12	,	,	PUNCT
ejpam-3028	37	13	f	f	PROPN
ejpam-3028	37	14	(	(	PUNCT
ejpam-3028	37	15	e	e	NOUN
ejpam-3028	37	16	)	)	PUNCT
ejpam-3028	37	17	)	)	PUNCT
ejpam-3028	37	18	:	:	PUNCT
ejpam-3028	38	1	e	e	X
ejpam-3028	38	2	∈	∈	PROPN
ejpam-3028	38	3	a	a	DET
ejpam-3028	38	4	⊆	⊆	NUM
ejpam-3028	38	5	e	e	NOUN
ejpam-3028	38	6	,	,	PUNCT
ejpam-3028	38	7	f	f	X
ejpam-3028	38	8	:	:	PUNCT
ejpam-3028	38	9	a→	a→	PUNCT
ejpam-3028	38	10	p	p	X
ejpam-3028	38	11	(	(	PUNCT
ejpam-3028	38	12	x	x	NOUN
ejpam-3028	38	13	)	)	PUNCT
ejpam-3028	38	14	}	}	PUNCT
ejpam-3028	38	15	.	.	PUNCT
ejpam-3028	39	1	the	the	DET
ejpam-3028	39	2	family	family	NOUN
ejpam-3028	39	3	of	of	ADP
ejpam-3028	39	4	all	all	DET
ejpam-3028	39	5	these	these	DET
ejpam-3028	39	6	soft	soft	ADJ
ejpam-3028	39	7	sets	set	NOUN
ejpam-3028	39	8	denoted	denote	VERB
ejpam-3028	39	9	by	by	ADP
ejpam-3028	39	10	ss(x)a	ss(x)a	PROPN
ejpam-3028	39	11	.	.	PUNCT
ejpam-3028	39	12	definition	definition	NOUN
ejpam-3028	39	13	2	2	NUM
ejpam-3028	39	14	(	(	PUNCT
ejpam-3028	39	15	21	21	NUM
ejpam-3028	39	16	)	)	PUNCT
ejpam-3028	39	17	.	.	PUNCT
ejpam-3028	40	1	let	let	VERB
ejpam-3028	40	2	τ	τ	PRON
ejpam-3028	40	3	be	be	AUX
ejpam-3028	40	4	a	a	DET
ejpam-3028	40	5	collection	collection	NOUN
ejpam-3028	40	6	of	of	ADP
ejpam-3028	40	7	soft	soft	ADJ
ejpam-3028	40	8	sets	set	NOUN
ejpam-3028	40	9	over	over	ADP
ejpam-3028	40	10	a	a	DET
ejpam-3028	40	11	universe	universe	NOUN
ejpam-3028	40	12	x	x	PUNCT
ejpam-3028	40	13	with	with	ADP
ejpam-3028	40	14	a	a	DET
ejpam-3028	40	15	fixed	fix	VERB
ejpam-3028	40	16	set	set	NOUN
ejpam-3028	40	17	of	of	ADP
ejpam-3028	40	18	parameters	parameter	NOUN
ejpam-3028	40	19	e	e	NOUN
ejpam-3028	40	20	,	,	PUNCT
ejpam-3028	40	21	then	then	ADV
ejpam-3028	40	22	τ	τ	PROPN
ejpam-3028	40	23	⊆	⊆	NUM
ejpam-3028	40	24	ss(x)e	ss(x)e	PROPN
ejpam-3028	40	25	is	be	AUX
ejpam-3028	40	26	called	call	VERB
ejpam-3028	40	27	a	a	DET
ejpam-3028	40	28	soft	soft	ADJ
ejpam-3028	40	29	topology	topology	NOUN
ejpam-3028	40	30	on	on	ADP
ejpam-3028	40	31	x	x	SYM
ejpam-3028	40	32	if	if	SCONJ
ejpam-3028	40	33	(	(	PUNCT
ejpam-3028	40	34	1	1	X
ejpam-3028	40	35	)	)	PUNCT
ejpam-3028	40	36	x̃	x̃	PROPN
ejpam-3028	40	37	,	,	PUNCT
ejpam-3028	40	38	ϕ̃	ϕ̃	PROPN
ejpam-3028	40	39	∈	∈	PROPN
ejpam-3028	40	40	τ	τ	X
ejpam-3028	40	41	,	,	PUNCT
ejpam-3028	40	42	where	where	SCONJ
ejpam-3028	40	43	ϕ̃(e	ϕ̃(e	NOUN
ejpam-3028	40	44	)	)	PUNCT
ejpam-3028	40	45	=	=	SYM
ejpam-3028	40	46	ϕ	ϕ	NOUN
ejpam-3028	40	47	and	and	CCONJ
ejpam-3028	40	48	x̃(e	x̃(e	PROPN
ejpam-3028	40	49	)	)	PUNCT
ejpam-3028	41	1	=	=	SYM
ejpam-3028	41	2	x	x	X
ejpam-3028	41	3	,	,	PUNCT
ejpam-3028	41	4	∀e	∀e	PROPN
ejpam-3028	41	5	∈	∈	PROPN
ejpam-3028	41	6	e	e	NOUN
ejpam-3028	41	7	,	,	PUNCT
ejpam-3028	41	8	(	(	PUNCT
ejpam-3028	41	9	2	2	X
ejpam-3028	41	10	)	)	PUNCT
ejpam-3028	41	11	the	the	DET
ejpam-3028	41	12	union	union	NOUN
ejpam-3028	41	13	of	of	ADP
ejpam-3028	41	14	any	any	DET
ejpam-3028	41	15	number	number	NOUN
ejpam-3028	41	16	of	of	ADP
ejpam-3028	41	17	soft	soft	ADJ
ejpam-3028	41	18	sets	set	NOUN
ejpam-3028	41	19	in	in	ADP
ejpam-3028	41	20	τ	τ	PROPN
ejpam-3028	41	21	belongs	belong	VERB
ejpam-3028	41	22	to	to	ADP
ejpam-3028	41	23	τ	τ	PROPN
ejpam-3028	41	24	,	,	PUNCT
ejpam-3028	41	25	(	(	PUNCT
ejpam-3028	41	26	3	3	X
ejpam-3028	41	27	)	)	PUNCT
ejpam-3028	41	28	the	the	DET
ejpam-3028	41	29	intersection	intersection	NOUN
ejpam-3028	41	30	of	of	ADP
ejpam-3028	41	31	any	any	DET
ejpam-3028	41	32	two	two	NUM
ejpam-3028	41	33	soft	soft	ADJ
ejpam-3028	41	34	sets	set	NOUN
ejpam-3028	41	35	in	in	ADP
ejpam-3028	41	36	τ	τ	PROPN
ejpam-3028	41	37	belongs	belong	VERB
ejpam-3028	41	38	to	to	ADP
ejpam-3028	41	39	τ	τ	PROPN
ejpam-3028	41	40	.	.	PUNCT
ejpam-3028	42	1	the	the	DET
ejpam-3028	42	2	triplet	triplet	NOUN
ejpam-3028	42	3	(	(	PUNCT
ejpam-3028	42	4	x	x	NOUN
ejpam-3028	42	5	,	,	PUNCT
ejpam-3028	42	6	τ	τ	PROPN
ejpam-3028	42	7	,	,	PUNCT
ejpam-3028	42	8	e	e	NOUN
ejpam-3028	42	9	)	)	PUNCT
ejpam-3028	42	10	is	be	AUX
ejpam-3028	42	11	called	call	VERB
ejpam-3028	42	12	a	a	DET
ejpam-3028	42	13	soft	soft	ADJ
ejpam-3028	42	14	topological	topological	ADJ
ejpam-3028	42	15	space	space	NOUN
ejpam-3028	42	16	over	over	ADP
ejpam-3028	42	17	x.	x.	NOUN
ejpam-3028	42	18	definition	definition	NOUN
ejpam-3028	42	19	3	3	NUM
ejpam-3028	42	20	(	(	PUNCT
ejpam-3028	42	21	26	26	NUM
ejpam-3028	42	22	)	)	PUNCT
ejpam-3028	42	23	.	.	PUNCT
ejpam-3028	43	1	the	the	DET
ejpam-3028	43	2	soft	soft	ADJ
ejpam-3028	43	3	set	set	NOUN
ejpam-3028	43	4	(	(	PUNCT
ejpam-3028	43	5	f	f	X
ejpam-3028	43	6	,	,	PUNCT
ejpam-3028	43	7	e	e	NOUN
ejpam-3028	43	8	)	)	PUNCT
ejpam-3028	43	9	∈	∈	PROPN
ejpam-3028	43	10	ss(x)e	ss(x)e	PROPN
ejpam-3028	43	11	is	be	AUX
ejpam-3028	43	12	called	call	VERB
ejpam-3028	43	13	a	a	DET
ejpam-3028	43	14	soft	soft	ADJ
ejpam-3028	43	15	point	point	NOUN
ejpam-3028	43	16	in	in	ADP
ejpam-3028	43	17	x̃	x̃	PROPN
ejpam-3028	43	18	if	if	SCONJ
ejpam-3028	43	19	there	there	PRON
ejpam-3028	43	20	exist	exist	VERB
ejpam-3028	43	21	x	x	X
ejpam-3028	43	22	∈	∈	PROPN
ejpam-3028	43	23	x	x	X
ejpam-3028	43	24	and	and	CCONJ
ejpam-3028	43	25	e	e	PROPN
ejpam-3028	43	26	∈	∈	PROPN
ejpam-3028	43	27	e	e	NOUN
ejpam-3028	43	28	such	such	ADJ
ejpam-3028	43	29	that	that	SCONJ
ejpam-3028	43	30	f	f	PROPN
ejpam-3028	43	31	(	(	PUNCT
ejpam-3028	43	32	e	e	NOUN
ejpam-3028	43	33	)	)	PUNCT
ejpam-3028	43	34	=	=	SYM
ejpam-3028	43	35	{	{	PUNCT
ejpam-3028	43	36	x	x	NOUN
ejpam-3028	43	37	}	}	PUNCT
ejpam-3028	43	38	and	and	CCONJ
ejpam-3028	43	39	f	f	PROPN
ejpam-3028	43	40	(	(	PUNCT
ejpam-3028	43	41	ec	ec	PROPN
ejpam-3028	43	42	)	)	PUNCT
ejpam-3028	43	43	=	=	SYM
ejpam-3028	44	1	ϕ	ϕ	PROPN
ejpam-3028	44	2	for	for	ADP
ejpam-3028	44	3	each	each	DET
ejpam-3028	44	4	ec	ec	PROPN
ejpam-3028	44	5	∈	∈	PROPN
ejpam-3028	44	6	e−{e	e−{e	PROPN
ejpam-3028	44	7	}	}	PUNCT
ejpam-3028	44	8	,	,	PUNCT
ejpam-3028	44	9	and	and	CCONJ
ejpam-3028	44	10	the	the	DET
ejpam-3028	44	11	soft	soft	ADJ
ejpam-3028	44	12	point	point	NOUN
ejpam-3028	44	13	(	(	PUNCT
ejpam-3028	44	14	f	f	X
ejpam-3028	44	15	,	,	PUNCT
ejpam-3028	44	16	e	e	NOUN
ejpam-3028	44	17	)	)	PUNCT
ejpam-3028	44	18	is	be	AUX
ejpam-3028	44	19	denoted	denote	VERB
ejpam-3028	44	20	by	by	ADP
ejpam-3028	44	21	xe	xe	PROPN
ejpam-3028	44	22	.	.	PUNCT
ejpam-3028	45	1	the	the	DET
ejpam-3028	45	2	soft	soft	ADJ
ejpam-3028	45	3	point	point	NOUN
ejpam-3028	45	4	xe	xe	PROPN
ejpam-3028	45	5	is	be	AUX
ejpam-3028	45	6	said	say	VERB
ejpam-3028	45	7	to	to	PART
ejpam-3028	45	8	be	be	AUX
ejpam-3028	45	9	belonging	belong	VERB
ejpam-3028	45	10	to	to	ADP
ejpam-3028	45	11	the	the	DET
ejpam-3028	45	12	soft	soft	ADJ
ejpam-3028	45	13	set	set	NOUN
ejpam-3028	45	14	(	(	PUNCT
ejpam-3028	45	15	g	g	NOUN
ejpam-3028	45	16	,	,	PUNCT
ejpam-3028	45	17	e	e	NOUN
ejpam-3028	45	18	)	)	PUNCT
ejpam-3028	45	19	,	,	PUNCT
ejpam-3028	45	20	denoted	denote	VERB
ejpam-3028	45	21	by	by	ADP
ejpam-3028	45	22	xe∈̃(g	xe∈̃(g	NOUN
ejpam-3028	45	23	,	,	PUNCT
ejpam-3028	45	24	e	e	NOUN
ejpam-3028	45	25	)	)	PUNCT
ejpam-3028	45	26	,	,	PUNCT
ejpam-3028	45	27	if	if	SCONJ
ejpam-3028	45	28	for	for	ADP
ejpam-3028	45	29	the	the	DET
ejpam-3028	45	30	element	element	NOUN
ejpam-3028	45	31	e	e	PROPN
ejpam-3028	45	32	∈	∈	PROPN
ejpam-3028	45	33	e	e	PROPN
ejpam-3028	45	34	,	,	PUNCT
ejpam-3028	45	35	f	f	PROPN
ejpam-3028	45	36	(	(	PUNCT
ejpam-3028	45	37	e	e	NOUN
ejpam-3028	45	38	)	)	PUNCT
ejpam-3028	45	39	⊆	⊆	NUM
ejpam-3028	45	40	g(e	g(e	PROPN
ejpam-3028	45	41	)	)	PUNCT
ejpam-3028	45	42	.	.	PUNCT
ejpam-3028	46	1	definition	definition	NOUN
ejpam-3028	46	2	4	4	NUM
ejpam-3028	46	3	(	(	PUNCT
ejpam-3028	46	4	13	13	NUM
ejpam-3028	46	5	)	)	PUNCT
ejpam-3028	46	6	.	.	PUNCT
ejpam-3028	47	1	let	let	VERB
ejpam-3028	47	2	τ	τ	PRON
ejpam-3028	47	3	be	be	AUX
ejpam-3028	47	4	a	a	DET
ejpam-3028	47	5	collection	collection	NOUN
ejpam-3028	47	6	of	of	ADP
ejpam-3028	47	7	soft	soft	ADJ
ejpam-3028	47	8	sets	set	NOUN
ejpam-3028	47	9	over	over	ADP
ejpam-3028	47	10	a	a	DET
ejpam-3028	47	11	universe	universe	NOUN
ejpam-3028	47	12	x	x	PUNCT
ejpam-3028	47	13	with	with	ADP
ejpam-3028	47	14	a	a	DET
ejpam-3028	47	15	fixed	fix	VERB
ejpam-3028	47	16	set	set	NOUN
ejpam-3028	47	17	of	of	ADP
ejpam-3028	47	18	parameters	parameter	NOUN
ejpam-3028	47	19	e	e	NOUN
ejpam-3028	47	20	,	,	PUNCT
ejpam-3028	47	21	then	then	ADV
ejpam-3028	47	22	µ	µ	PROPN
ejpam-3028	47	23	⊆	⊆	NUM
ejpam-3028	47	24	ss(x)e	ss(x)e	PROPN
ejpam-3028	47	25	is	be	AUX
ejpam-3028	47	26	called	call	VERB
ejpam-3028	47	27	supra	supra	ADJ
ejpam-3028	47	28	soft	soft	ADJ
ejpam-3028	47	29	topology	topology	NOUN
ejpam-3028	47	30	on	on	ADP
ejpam-3028	47	31	x	x	PUNCT
ejpam-3028	47	32	with	with	ADP
ejpam-3028	47	33	a	a	DET
ejpam-3028	47	34	fixed	fix	VERB
ejpam-3028	47	35	set	set	NOUN
ejpam-3028	48	1	e	e	NOUN
ejpam-3028	48	2	if	if	SCONJ
ejpam-3028	48	3	(	(	PUNCT
ejpam-3028	48	4	1	1	X
ejpam-3028	48	5	)	)	PUNCT
ejpam-3028	48	6	x̃	x̃	PROPN
ejpam-3028	48	7	,	,	PUNCT
ejpam-3028	48	8	ϕ̃	ϕ̃	PROPN
ejpam-3028	48	9	∈	∈	PROPN
ejpam-3028	48	10	µ	µ	PROPN
ejpam-3028	48	11	,	,	PUNCT
ejpam-3028	48	12	f.	f.	PROPN
ejpam-3028	48	13	a.	a.	PROPN
ejpam-3028	48	14	gharib	gharib	PROPN
ejpam-3028	48	15	et	et	PROPN
ejpam-3028	49	1	al	al	PROPN
ejpam-3028	49	2	.	.	PUNCT
ejpam-3028	49	3	/	/	SYM
ejpam-3028	49	4	eur	eur	PROPN
ejpam-3028	49	5	.	.	PUNCT
ejpam-3028	50	1	j.	j.	PROPN
ejpam-3028	50	2	pure	pure	PROPN
ejpam-3028	50	3	appl	appl	PROPN
ejpam-3028	50	4	.	.	PROPN
ejpam-3028	50	5	math	math	PROPN
ejpam-3028	50	6	,	,	PUNCT
ejpam-3028	50	7	10	10	NUM
ejpam-3028	50	8	(	(	PUNCT
ejpam-3028	50	9	4	4	NUM
ejpam-3028	50	10	)	)	PUNCT
ejpam-3028	50	11	(	(	PUNCT
ejpam-3028	50	12	2017	2017	NUM
ejpam-3028	50	13	)	)	PUNCT
ejpam-3028	50	14	,	,	PUNCT
ejpam-3028	50	15	835	835	NUM
ejpam-3028	50	16	-	-	SYM
ejpam-3028	50	17	849	849	NUM
ejpam-3028	50	18	837	837	NUM
ejpam-3028	50	19	(	(	PUNCT
ejpam-3028	50	20	2	2	NUM
ejpam-3028	50	21	)	)	PUNCT
ejpam-3028	50	22	the	the	DET
ejpam-3028	50	23	union	union	NOUN
ejpam-3028	50	24	of	of	ADP
ejpam-3028	50	25	any	any	DET
ejpam-3028	50	26	number	number	NOUN
ejpam-3028	50	27	of	of	ADP
ejpam-3028	50	28	soft	soft	ADJ
ejpam-3028	50	29	sets	set	NOUN
ejpam-3028	50	30	in	in	ADP
ejpam-3028	50	31	µ	µ	PRON
ejpam-3028	50	32	belongs	belong	VERB
ejpam-3028	50	33	to	to	PART
ejpam-3028	50	34	µ.	µ.	VERB
ejpam-3028	50	35	the	the	DET
ejpam-3028	50	36	triplet	triplet	NOUN
ejpam-3028	50	37	(	(	PUNCT
ejpam-3028	50	38	x,µ,e	x,µ,e	PROPN
ejpam-3028	50	39	)	)	PUNCT
ejpam-3028	50	40	is	be	AUX
ejpam-3028	50	41	called	call	VERB
ejpam-3028	50	42	supra	supra	PROPN
ejpam-3028	50	43	soft	soft	ADJ
ejpam-3028	50	44	topological	topological	ADJ
ejpam-3028	50	45	space	space	NOUN
ejpam-3028	50	46	(	(	PUNCT
ejpam-3028	50	47	or	or	CCONJ
ejpam-3028	50	48	supra	supra	ADJ
ejpam-3028	50	49	soft	soft	ADJ
ejpam-3028	50	50	spaces	space	NOUN
ejpam-3028	50	51	)	)	PUNCT
ejpam-3028	50	52	over	over	ADP
ejpam-3028	50	53	x.	x.	NOUN
ejpam-3028	50	54	definition	definition	NOUN
ejpam-3028	50	55	5	5	NUM
ejpam-3028	50	56	(	(	PUNCT
ejpam-3028	50	57	13	13	NUM
ejpam-3028	50	58	)	)	PUNCT
ejpam-3028	50	59	.	.	PUNCT
ejpam-3028	51	1	let	let	VERB
ejpam-3028	51	2	(	(	PUNCT
ejpam-3028	51	3	x	x	X
ejpam-3028	51	4	,	,	PUNCT
ejpam-3028	51	5	τ	τ	PROPN
ejpam-3028	51	6	,	,	PUNCT
ejpam-3028	51	7	e	e	NOUN
ejpam-3028	51	8	)	)	PUNCT
ejpam-3028	51	9	be	be	AUX
ejpam-3028	51	10	a	a	DET
ejpam-3028	51	11	soft	soft	ADJ
ejpam-3028	51	12	topological	topological	ADJ
ejpam-3028	51	13	space	space	NOUN
ejpam-3028	51	14	and	and	CCONJ
ejpam-3028	51	15	(	(	PUNCT
ejpam-3028	51	16	x,µ,e	x,µ,e	PROPN
ejpam-3028	51	17	)	)	PUNCT
ejpam-3028	51	18	be	be	AUX
ejpam-3028	51	19	a	a	DET
ejpam-3028	51	20	supra	supra	ADJ
ejpam-3028	51	21	soft	soft	ADJ
ejpam-3028	51	22	topological	topological	ADJ
ejpam-3028	51	23	space	space	NOUN
ejpam-3028	51	24	.	.	PUNCT
ejpam-3028	52	1	we	we	PRON
ejpam-3028	52	2	say	say	VERB
ejpam-3028	52	3	that	that	SCONJ
ejpam-3028	52	4	,	,	PUNCT
ejpam-3028	52	5	µ	µ	PRON
ejpam-3028	52	6	is	be	AUX
ejpam-3028	52	7	a	a	DET
ejpam-3028	52	8	supra	supra	ADJ
ejpam-3028	52	9	soft	soft	ADJ
ejpam-3028	52	10	topology	topology	NOUN
ejpam-3028	52	11	associated	associate	VERB
ejpam-3028	52	12	with	with	ADP
ejpam-3028	52	13	τ	τ	PROPN
ejpam-3028	52	14	if	if	SCONJ
ejpam-3028	52	15	τ	τ	PROPN
ejpam-3028	52	16	⊂	⊂	PROPN
ejpam-3028	52	17	µ.	µ.	PROPN
ejpam-3028	52	18	definition	definition	NOUN
ejpam-3028	52	19	6	6	NUM
ejpam-3028	52	20	(	(	PUNCT
ejpam-3028	52	21	13	13	NUM
ejpam-3028	52	22	)	)	PUNCT
ejpam-3028	52	23	.	.	PUNCT
ejpam-3028	53	1	let	let	AUX
ejpam-3028	53	2	(	(	PUNCT
ejpam-3028	53	3	x,µ,e	x,µ,e	PROPN
ejpam-3028	53	4	)	)	PUNCT
ejpam-3028	53	5	be	be	VERB
ejpam-3028	53	6	a	a	DET
ejpam-3028	53	7	supra	supra	ADJ
ejpam-3028	53	8	soft	soft	ADJ
ejpam-3028	53	9	topological	topological	ADJ
ejpam-3028	53	10	space	space	NOUN
ejpam-3028	53	11	over	over	ADP
ejpam-3028	53	12	x	x	NOUN
ejpam-3028	53	13	,	,	PUNCT
ejpam-3028	53	14	then	then	ADV
ejpam-3028	53	15	the	the	DET
ejpam-3028	53	16	members	member	NOUN
ejpam-3028	53	17	of	of	ADP
ejpam-3028	53	18	µ	µ	NOUN
ejpam-3028	53	19	are	be	AUX
ejpam-3028	53	20	said	say	VERB
ejpam-3028	53	21	to	to	PART
ejpam-3028	53	22	be	be	AUX
ejpam-3028	53	23	supra	supra	ADJ
ejpam-3028	53	24	open	open	ADJ
ejpam-3028	53	25	soft	soft	ADJ
ejpam-3028	53	26	sets	set	NOUN
ejpam-3028	53	27	in	in	ADP
ejpam-3028	53	28	x.	x.	NOUN
ejpam-3028	53	29	we	we	PRON
ejpam-3028	53	30	denote	denote	VERB
ejpam-3028	53	31	the	the	DET
ejpam-3028	53	32	set	set	NOUN
ejpam-3028	53	33	of	of	ADP
ejpam-3028	53	34	all	all	DET
ejpam-3028	53	35	supra	supra	PROPN
ejpam-3028	53	36	open	open	ADJ
ejpam-3028	53	37	soft	soft	ADJ
ejpam-3028	53	38	sets	set	NOUN
ejpam-3028	53	39	over	over	ADP
ejpam-3028	53	40	x	x	PUNCT
ejpam-3028	53	41	by	by	ADP
ejpam-3028	53	42	supra	supra	PROPN
ejpam-3028	53	43	-	-	PUNCT
ejpam-3028	53	44	os(x,µ,e	os(x,µ,e	PROPN
ejpam-3028	53	45	)	)	PUNCT
ejpam-3028	53	46	,	,	PUNCT
ejpam-3028	53	47	or	or	CCONJ
ejpam-3028	53	48	when	when	SCONJ
ejpam-3028	53	49	there	there	PRON
ejpam-3028	53	50	can	can	AUX
ejpam-3028	53	51	be	be	AUX
ejpam-3028	53	52	no	no	DET
ejpam-3028	53	53	confusion	confusion	NOUN
ejpam-3028	53	54	by	by	ADP
ejpam-3028	53	55	supra	supra	NOUN
ejpam-3028	53	56	-	-	PUNCT
ejpam-3028	53	57	os(x	os(x	NOUN
ejpam-3028	53	58	)	)	PUNCT
ejpam-3028	53	59	and	and	CCONJ
ejpam-3028	53	60	the	the	DET
ejpam-3028	53	61	set	set	NOUN
ejpam-3028	53	62	of	of	ADP
ejpam-3028	53	63	all	all	DET
ejpam-3028	53	64	supra	supra	PROPN
ejpam-3028	53	65	closed	close	VERB
ejpam-3028	53	66	soft	soft	ADJ
ejpam-3028	53	67	sets	set	NOUN
ejpam-3028	53	68	by	by	ADP
ejpam-3028	53	69	supra	supra	NOUN
ejpam-3028	53	70	-	-	PUNCT
ejpam-3028	53	71	cs(x,µ,e	cs(x,µ,e	PROPN
ejpam-3028	53	72	)	)	PUNCT
ejpam-3028	53	73	,	,	PUNCT
ejpam-3028	53	74	or	or	CCONJ
ejpam-3028	53	75	supra	supra	NOUN
ejpam-3028	53	76	-	-	PUNCT
ejpam-3028	53	77	cs(x	cs(x	NUM
ejpam-3028	53	78	)	)	PUNCT
ejpam-3028	53	79	.	.	PUNCT
ejpam-3028	54	1	definition	definition	NOUN
ejpam-3028	54	2	7	7	NUM
ejpam-3028	54	3	(	(	PUNCT
ejpam-3028	54	4	13	13	NUM
ejpam-3028	54	5	)	)	PUNCT
ejpam-3028	54	6	.	.	PUNCT
ejpam-3028	55	1	let	let	AUX
ejpam-3028	55	2	(	(	PUNCT
ejpam-3028	55	3	x,µ,e	x,µ,e	PROPN
ejpam-3028	55	4	)	)	PUNCT
ejpam-3028	55	5	be	be	VERB
ejpam-3028	55	6	a	a	DET
ejpam-3028	55	7	supra	supra	ADJ
ejpam-3028	55	8	soft	soft	ADJ
ejpam-3028	55	9	topological	topological	ADJ
ejpam-3028	55	10	space	space	NOUN
ejpam-3028	55	11	over	over	ADP
ejpam-3028	55	12	and	and	CCONJ
ejpam-3028	55	13	(	(	PUNCT
ejpam-3028	55	14	f	f	X
ejpam-3028	55	15	,	,	PUNCT
ejpam-3028	55	16	e	e	NOUN
ejpam-3028	55	17	)	)	PUNCT
ejpam-3028	55	18	∈	∈	PROPN
ejpam-3028	56	1	ss(x)e	ss(x)e	PROPN
ejpam-3028	56	2	.	.	PUNCT
ejpam-3028	57	1	then	then	ADV
ejpam-3028	57	2	,	,	PUNCT
ejpam-3028	57	3	the	the	DET
ejpam-3028	57	4	supra	supra	ADJ
ejpam-3028	57	5	soft	soft	ADJ
ejpam-3028	57	6	interior	interior	NOUN
ejpam-3028	57	7	of	of	ADP
ejpam-3028	57	8	(	(	PUNCT
ejpam-3028	57	9	g	g	PROPN
ejpam-3028	57	10	,	,	PUNCT
ejpam-3028	57	11	e	e	NOUN
ejpam-3028	57	12	)	)	PUNCT
ejpam-3028	57	13	,	,	PUNCT
ejpam-3028	57	14	denoted	denote	VERB
ejpam-3028	57	15	by	by	ADP
ejpam-3028	57	16	ints(g	ints(g	PROPN
ejpam-3028	57	17	,	,	PUNCT
ejpam-3028	57	18	e	e	NOUN
ejpam-3028	57	19	)	)	PUNCT
ejpam-3028	57	20	is	be	AUX
ejpam-3028	57	21	the	the	DET
ejpam-3028	57	22	soft	soft	ADJ
ejpam-3028	57	23	union	union	NOUN
ejpam-3028	57	24	of	of	ADP
ejpam-3028	57	25	all	all	DET
ejpam-3028	57	26	supra	supra	PROPN
ejpam-3028	57	27	open	open	ADJ
ejpam-3028	57	28	soft	soft	ADJ
ejpam-3028	57	29	subsets	subset	NOUN
ejpam-3028	57	30	of	of	ADP
ejpam-3028	57	31	(	(	PUNCT
ejpam-3028	57	32	g	g	PROPN
ejpam-3028	57	33	,	,	PUNCT
ejpam-3028	57	34	e).i.e	e).i.e	PROPN
ejpam-3028	57	35	ints(g	ints(g	PROPN
ejpam-3028	57	36	,	,	PUNCT
ejpam-3028	57	37	e	e	NOUN
ejpam-3028	57	38	)	)	PUNCT
ejpam-3028	57	39	=	=	SYM
ejpam-3028	57	40	∪̃{(h	∪̃{(h	PROPN
ejpam-3028	57	41	,	,	PUNCT
ejpam-3028	57	42	e	e	NOUN
ejpam-3028	57	43	)	)	PUNCT
ejpam-3028	57	44	:	:	PUNCT
ejpam-3028	57	45	(	(	PUNCT
ejpam-3028	57	46	h	h	NOUN
ejpam-3028	57	47	,	,	PUNCT
ejpam-3028	57	48	e	e	NOUN
ejpam-3028	57	49	)	)	PUNCT
ejpam-3028	57	50	is	be	AUX
ejpam-3028	57	51	supra	supra	ADJ
ejpam-3028	57	52	open	open	ADJ
ejpam-3028	57	53	soft	soft	ADJ
ejpam-3028	57	54	set	set	NOUN
ejpam-3028	57	55	and	and	CCONJ
ejpam-3028	57	56	(	(	PUNCT
ejpam-3028	57	57	h	h	NOUN
ejpam-3028	57	58	,	,	PUNCT
ejpam-3028	57	59	e)⊆̃(g	e)⊆̃(g	PROPN
ejpam-3028	57	60	,	,	PUNCT
ejpam-3028	57	61	e	e	NOUN
ejpam-3028	57	62	)	)	PUNCT
ejpam-3028	57	63	}	}	PUNCT
ejpam-3028	57	64	.	.	PUNCT
ejpam-3028	58	1	also	also	ADV
ejpam-3028	58	2	,	,	PUNCT
ejpam-3028	58	3	the	the	DET
ejpam-3028	58	4	supra	supra	ADJ
ejpam-3028	58	5	soft	soft	ADJ
ejpam-3028	58	6	closure	closure	NOUN
ejpam-3028	58	7	of	of	ADP
ejpam-3028	58	8	(	(	PUNCT
ejpam-3028	58	9	f	f	X
ejpam-3028	58	10	,	,	PUNCT
ejpam-3028	58	11	e	e	NOUN
ejpam-3028	58	12	)	)	PUNCT
ejpam-3028	58	13	,	,	PUNCT
ejpam-3028	58	14	denoted	denote	VERB
ejpam-3028	58	15	by	by	ADP
ejpam-3028	58	16	cls(f	cls(f	PROPN
ejpam-3028	58	17	,	,	PUNCT
ejpam-3028	58	18	e	e	NOUN
ejpam-3028	58	19	)	)	PUNCT
ejpam-3028	58	20	is	be	AUX
ejpam-3028	58	21	the	the	DET
ejpam-3028	58	22	soft	soft	ADJ
ejpam-3028	58	23	intersection	intersection	NOUN
ejpam-3028	58	24	of	of	ADP
ejpam-3028	58	25	all	all	DET
ejpam-3028	58	26	supra	supra	PROPN
ejpam-3028	58	27	closed	close	VERB
ejpam-3028	58	28	super	super	ADV
ejpam-3028	58	29	soft	soft	ADJ
ejpam-3028	58	30	sets	set	NOUN
ejpam-3028	58	31	of	of	ADP
ejpam-3028	58	32	(	(	PUNCT
ejpam-3028	58	33	f	f	X
ejpam-3028	58	34	,	,	PUNCT
ejpam-3028	58	35	e	e	NOUN
ejpam-3028	58	36	)	)	PUNCT
ejpam-3028	58	37	i.e	i.e	PROPN
ejpam-3028	58	38	cls(f	cls(f	PROPN
ejpam-3028	58	39	,	,	PUNCT
ejpam-3028	58	40	e	e	NOUN
ejpam-3028	58	41	)	)	PUNCT
ejpam-3028	58	42	=	=	SYM
ejpam-3028	58	43	∩̃{(h	∩̃{(h	PROPN
ejpam-3028	58	44	,	,	PUNCT
ejpam-3028	58	45	e	e	NOUN
ejpam-3028	58	46	)	)	PUNCT
ejpam-3028	58	47	:	:	PUNCT
ejpam-3028	58	48	(	(	PUNCT
ejpam-3028	58	49	h	h	NOUN
ejpam-3028	58	50	,	,	PUNCT
ejpam-3028	58	51	e	e	NOUN
ejpam-3028	58	52	)	)	PUNCT
ejpam-3028	58	53	is	be	AUX
ejpam-3028	58	54	supra	supra	PROPN
ejpam-3028	58	55	closed	close	VERB
ejpam-3028	58	56	soft	soft	ADJ
ejpam-3028	58	57	set	set	NOUN
ejpam-3028	58	58	and	and	CCONJ
ejpam-3028	58	59	(	(	PUNCT
ejpam-3028	58	60	f	f	X
ejpam-3028	58	61	,	,	PUNCT
ejpam-3028	58	62	e)⊆̃(h	e)⊆̃(h	PROPN
ejpam-3028	58	63	,	,	PUNCT
ejpam-3028	58	64	e	e	NOUN
ejpam-3028	58	65	)	)	PUNCT
ejpam-3028	58	66	}	}	PUNCT
ejpam-3028	58	67	.	.	PUNCT
ejpam-3028	59	1	definition	definition	NOUN
ejpam-3028	59	2	8	8	NUM
ejpam-3028	59	3	(	(	PUNCT
ejpam-3028	59	4	1,3,13	1,3,13	NUM
ejpam-3028	59	5	)	)	PUNCT
ejpam-3028	59	6	.	.	PUNCT
ejpam-3028	60	1	let	let	AUX
ejpam-3028	60	2	(	(	PUNCT
ejpam-3028	60	3	x,µ,e	x,µ,e	PROPN
ejpam-3028	60	4	)	)	PUNCT
ejpam-3028	60	5	be	be	VERB
ejpam-3028	60	6	a	a	DET
ejpam-3028	60	7	supra	supra	ADJ
ejpam-3028	60	8	soft	soft	ADJ
ejpam-3028	60	9	topological	topological	ADJ
ejpam-3028	60	10	space	space	NOUN
ejpam-3028	60	11	and	and	CCONJ
ejpam-3028	60	12	(	(	PUNCT
ejpam-3028	60	13	f	f	X
ejpam-3028	60	14	,	,	PUNCT
ejpam-3028	60	15	e	e	NOUN
ejpam-3028	60	16	)	)	PUNCT
ejpam-3028	60	17	∈	∈	PROPN
ejpam-3028	61	1	ss(x)e	ss(x)e	PROPN
ejpam-3028	61	2	.	.	PUNCT
ejpam-3028	62	1	then	then	ADV
ejpam-3028	62	2	,	,	PUNCT
ejpam-3028	62	3	(	(	PUNCT
ejpam-3028	62	4	f	f	X
ejpam-3028	62	5	,	,	PUNCT
ejpam-3028	62	6	e	e	NOUN
ejpam-3028	62	7	)	)	PUNCT
ejpam-3028	62	8	is	be	AUX
ejpam-3028	62	9	said	say	VERB
ejpam-3028	62	10	to	to	PART
ejpam-3028	62	11	be	be	AUX
ejpam-3028	62	12	,	,	PUNCT
ejpam-3028	62	13	(	(	PUNCT
ejpam-3028	62	14	1	1	X
ejpam-3028	62	15	)	)	PUNCT
ejpam-3028	62	16	supra	supra	NOUN
ejpam-3028	62	17	pre	pre	X
ejpam-3028	62	18	open	open	ADJ
ejpam-3028	62	19	soft	soft	ADJ
ejpam-3028	62	20	set	set	NOUN
ejpam-3028	62	21	if	if	SCONJ
ejpam-3028	62	22	(	(	PUNCT
ejpam-3028	62	23	f	f	X
ejpam-3028	62	24	,	,	PUNCT
ejpam-3028	62	25	e)⊆̃ints(cls(f	e)⊆̃ints(cls(f	PROPN
ejpam-3028	62	26	,	,	PUNCT
ejpam-3028	62	27	e	e	NOUN
ejpam-3028	62	28	)	)	PUNCT
ejpam-3028	62	29	)	)	PUNCT
ejpam-3028	62	30	.	.	PUNCT
ejpam-3028	63	1	(	(	PUNCT
ejpam-3028	63	2	2	2	X
ejpam-3028	63	3	)	)	PUNCT
ejpam-3028	63	4	supra	supra	NOUN
ejpam-3028	63	5	semi	semi	ADJ
ejpam-3028	63	6	open	open	VERB
ejpam-3028	63	7	soft	soft	ADJ
ejpam-3028	63	8	set	set	NOUN
ejpam-3028	63	9	if	if	SCONJ
ejpam-3028	63	10	(	(	PUNCT
ejpam-3028	63	11	f	f	X
ejpam-3028	63	12	,	,	PUNCT
ejpam-3028	63	13	e)⊆̃cls(ints(f	e)⊆̃cls(ints(f	PROPN
ejpam-3028	63	14	,	,	PUNCT
ejpam-3028	63	15	e	e	NOUN
ejpam-3028	63	16	)	)	PUNCT
ejpam-3028	63	17	)	)	PUNCT
ejpam-3028	63	18	.	.	PUNCT
ejpam-3028	64	1	(	(	PUNCT
ejpam-3028	64	2	3	3	X
ejpam-3028	64	3	)	)	PUNCT
ejpam-3028	64	4	supra	supra	NOUN
ejpam-3028	64	5	α	α	NOUN
ejpam-3028	64	6	-	-	ADJ
ejpam-3028	64	7	open	open	ADJ
ejpam-3028	64	8	soft	soft	ADJ
ejpam-3028	64	9	set	set	NOUN
ejpam-3028	64	10	if	if	SCONJ
ejpam-3028	64	11	(	(	PUNCT
ejpam-3028	64	12	f	f	X
ejpam-3028	64	13	,	,	PUNCT
ejpam-3028	64	14	e)⊆̃ints(cls(ints(f	e)⊆̃ints(cls(ints(f	PROPN
ejpam-3028	64	15	,	,	PUNCT
ejpam-3028	64	16	e	e	NOUN
ejpam-3028	64	17	)	)	PUNCT
ejpam-3028	64	18	)	)	PUNCT
ejpam-3028	64	19	)	)	PUNCT
ejpam-3028	64	20	.	.	PUNCT
ejpam-3028	65	1	(	(	PUNCT
ejpam-3028	65	2	4	4	X
ejpam-3028	65	3	)	)	PUNCT
ejpam-3028	65	4	supra	supra	NOUN
ejpam-3028	65	5	β	β	NOUN
ejpam-3028	65	6	-	-	ADJ
ejpam-3028	65	7	open	open	ADJ
ejpam-3028	65	8	soft	soft	ADJ
ejpam-3028	65	9	set	set	NOUN
ejpam-3028	65	10	if	if	SCONJ
ejpam-3028	65	11	(	(	PUNCT
ejpam-3028	65	12	f	f	X
ejpam-3028	65	13	,	,	PUNCT
ejpam-3028	65	14	e)⊆̃cls(ints(cls(f	e)⊆̃cls(ints(cls(f	PROPN
ejpam-3028	65	15	,	,	PUNCT
ejpam-3028	65	16	e	e	NOUN
ejpam-3028	65	17	)	)	PUNCT
ejpam-3028	65	18	)	)	PUNCT
ejpam-3028	65	19	)	)	PUNCT
ejpam-3028	65	20	.	.	PUNCT
ejpam-3028	66	1	(	(	PUNCT
ejpam-3028	66	2	5	5	X
ejpam-3028	66	3	)	)	PUNCT
ejpam-3028	66	4	supra	supra	PROPN
ejpam-3028	66	5	b	b	NOUN
ejpam-3028	66	6	-	-	PUNCT
ejpam-3028	66	7	open	open	ADJ
ejpam-3028	66	8	soft	soft	ADJ
ejpam-3028	66	9	set	set	NOUN
ejpam-3028	66	10	if	if	SCONJ
ejpam-3028	66	11	(	(	PUNCT
ejpam-3028	66	12	f	f	X
ejpam-3028	66	13	,	,	PUNCT
ejpam-3028	66	14	e)⊆̃cls(ints(f	e)⊆̃cls(ints(f	PROPN
ejpam-3028	66	15	,	,	PUNCT
ejpam-3028	66	16	e))∪̃ints(cls(f	e))∪̃ints(cls(f	PROPN
ejpam-3028	66	17	,	,	PUNCT
ejpam-3028	66	18	e	e	NOUN
ejpam-3028	66	19	)	)	PUNCT
ejpam-3028	66	20	)	)	PUNCT
ejpam-3028	66	21	.	.	PUNCT
ejpam-3028	67	1	(	(	PUNCT
ejpam-3028	67	2	6	6	NUM
ejpam-3028	67	3	)	)	PUNCT
ejpam-3028	67	4	supra	supra	NOUN
ejpam-3028	67	5	a	a	PRON
ejpam-3028	67	6	-	-	PUNCT
ejpam-3028	67	7	soft	soft	ADJ
ejpam-3028	67	8	set	set	NOUN
ejpam-3028	67	9	if	if	SCONJ
ejpam-3028	67	10	(	(	PUNCT
ejpam-3028	67	11	f	f	X
ejpam-3028	67	12	,	,	PUNCT
ejpam-3028	67	13	e	e	NOUN
ejpam-3028	67	14	)	)	PUNCT
ejpam-3028	67	15	=	=	SYM
ejpam-3028	67	16	(	(	PUNCT
ejpam-3028	67	17	g	g	NOUN
ejpam-3028	67	18	,	,	PUNCT
ejpam-3028	67	19	e	e	NOUN
ejpam-3028	67	20	)	)	PUNCT
ejpam-3028	68	1	−	−	PROPN
ejpam-3028	68	2	(	(	PUNCT
ejpam-3028	68	3	h	h	NOUN
ejpam-3028	68	4	,	,	PUNCT
ejpam-3028	68	5	e	e	NOUN
ejpam-3028	68	6	)	)	PUNCT
ejpam-3028	68	7	where	where	SCONJ
ejpam-3028	68	8	(	(	PUNCT
ejpam-3028	68	9	g	g	NOUN
ejpam-3028	68	10	,	,	PUNCT
ejpam-3028	68	11	e	e	NOUN
ejpam-3028	68	12	)	)	PUNCT
ejpam-3028	68	13	is	be	AUX
ejpam-3028	68	14	supra	supra	ADJ
ejpam-3028	68	15	open	open	ADJ
ejpam-3028	68	16	soft	soft	ADJ
ejpam-3028	68	17	and	and	CCONJ
ejpam-3028	68	18	(	(	PUNCT
ejpam-3028	68	19	h	h	NOUN
ejpam-3028	68	20	,	,	PUNCT
ejpam-3028	68	21	e	e	NOUN
ejpam-3028	68	22	)	)	PUNCT
ejpam-3028	68	23	is	be	AUX
ejpam-3028	68	24	supra	supra	ADJ
ejpam-3028	68	25	regular	regular	ADJ
ejpam-3028	68	26	open	open	ADJ
ejpam-3028	68	27	soft	soft	ADJ
ejpam-3028	68	28	set	set	NOUN
ejpam-3028	68	29	in	in	ADP
ejpam-3028	68	30	x.	x.	NOUN
ejpam-3028	68	31	the	the	DET
ejpam-3028	68	32	set	set	NOUN
ejpam-3028	68	33	of	of	ADP
ejpam-3028	68	34	all	all	DET
ejpam-3028	68	35	supra	supra	PROPN
ejpam-3028	68	36	pre	pre	X
ejpam-3028	68	37	open	open	ADJ
ejpam-3028	68	38	(	(	PUNCT
ejpam-3028	68	39	resp	resp	NOUN
ejpam-3028	68	40	.	.	PUNCT
ejpam-3028	69	1	semi	semi	ADV
ejpam-3028	69	2	open	open	ADJ
ejpam-3028	69	3	,	,	PUNCT
ejpam-3028	69	4	α	α	NOUN
ejpam-3028	69	5	-	-	ADJ
ejpam-3028	69	6	open	open	ADJ
ejpam-3028	69	7	,	,	PUNCT
ejpam-3028	69	8	β	β	NOUN
ejpam-3028	69	9	-	-	ADJ
ejpam-3028	69	10	open	open	ADJ
ejpam-3028	69	11	,	,	PUNCT
ejpam-3028	69	12	b	b	X
ejpam-3028	69	13	-	-	PUNCT
ejpam-3028	69	14	open	open	ADJ
ejpam-3028	69	15	,	,	PUNCT
ejpam-3028	69	16	a-	a-	X
ejpam-3028	69	17	)	)	PUNCT
ejpam-3028	69	18	soft	soft	ADJ
ejpam-3028	69	19	sets	set	NOUN
ejpam-3028	69	20	is	be	AUX
ejpam-3028	69	21	denoted	denote	VERB
ejpam-3028	69	22	by	by	ADP
ejpam-3028	69	23	supra	supra	NOUN
ejpam-3028	69	24	-	-	PUNCT
ejpam-3028	69	25	pos(x	pos(x	PROPN
ejpam-3028	69	26	)	)	PUNCT
ejpam-3028	69	27	(	(	PUNCT
ejpam-3028	69	28	resp	resp	NOUN
ejpam-3028	69	29	.	.	PUNCT
ejpam-3028	70	1	supra	supra	PROPN
ejpam-3028	70	2	-	-	PUNCT
ejpam-3028	70	3	sos(x	sos(x	PROPN
ejpam-3028	70	4	)	)	PUNCT
ejpam-3028	70	5	,	,	PUNCT
ejpam-3028	70	6	supra	supra	NOUN
ejpam-3028	70	7	-	-	PUNCT
ejpam-3028	70	8	αos(x	αos(x	NOUN
ejpam-3028	70	9	)	)	PUNCT
ejpam-3028	70	10	,	,	PUNCT
ejpam-3028	70	11	supra	supra	NOUN
ejpam-3028	70	12	-	-	PUNCT
ejpam-3028	70	13	βos(x	βos(x	PROPN
ejpam-3028	70	14	)	)	PUNCT
ejpam-3028	70	15	,	,	PUNCT
ejpam-3028	70	16	supra	supra	NOUN
ejpam-3028	70	17	-	-	PUNCT
ejpam-3028	70	18	bos(x	bos(x	NOUN
ejpam-3028	70	19	)	)	PUNCT
ejpam-3028	70	20	,	,	PUNCT
ejpam-3028	70	21	supra	supra	NOUN
ejpam-3028	70	22	-	-	PUNCT
ejpam-3028	70	23	as(x	as(x	NOUN
ejpam-3028	70	24	)	)	PUNCT
ejpam-3028	70	25	)	)	PUNCT
ejpam-3028	70	26	and	and	CCONJ
ejpam-3028	70	27	the	the	DET
ejpam-3028	70	28	set	set	NOUN
ejpam-3028	70	29	of	of	ADP
ejpam-3028	70	30	all	all	DET
ejpam-3028	70	31	supra	supra	PROPN
ejpam-3028	70	32	pre	pre	PROPN
ejpam-3028	71	1	closed	closed	ADJ
ejpam-3028	71	2	(	(	PUNCT
ejpam-3028	71	3	resp	resp	NOUN
ejpam-3028	71	4	.	.	PUNCT
ejpam-3028	72	1	semi	semi	ADV
ejpam-3028	72	2	closed	closed	ADJ
ejpam-3028	72	3	,	,	PUNCT
ejpam-3028	72	4	αclosed	αclose	VERB
ejpam-3028	72	5	,	,	PUNCT
ejpam-3028	72	6	β	β	NOUN
ejpam-3028	72	7	-	-	VERB
ejpam-3028	72	8	closed	closed	ADJ
ejpam-3028	72	9	,	,	PUNCT
ejpam-3028	72	10	b	b	X
ejpam-3028	72	11	-	-	PUNCT
ejpam-3028	72	12	closed	closed	ADJ
ejpam-3028	72	13	)	)	PUNCT
ejpam-3028	72	14	soft	soft	ADJ
ejpam-3028	72	15	sets	set	NOUN
ejpam-3028	72	16	is	be	AUX
ejpam-3028	72	17	denoted	denote	VERB
ejpam-3028	72	18	by	by	ADP
ejpam-3028	72	19	supra	supra	NOUN
ejpam-3028	72	20	-	-	PUNCT
ejpam-3028	72	21	pcs(x	pcs(x	PROPN
ejpam-3028	72	22	)	)	PUNCT
ejpam-3028	72	23	(	(	PUNCT
ejpam-3028	72	24	resp	resp	NOUN
ejpam-3028	72	25	.	.	PUNCT
ejpam-3028	73	1	supra	supra	NOUN
ejpam-3028	73	2	-	-	PUNCT
ejpam-3028	73	3	scs(x	scs(x	PROPN
ejpam-3028	73	4	)	)	PUNCT
ejpam-3028	73	5	,	,	PUNCT
ejpam-3028	73	6	supra	supra	NOUN
ejpam-3028	73	7	-	-	PUNCT
ejpam-3028	73	8	αcs(x	αcs(x	PROPN
ejpam-3028	73	9	)	)	PUNCT
ejpam-3028	73	10	,	,	PUNCT
ejpam-3028	73	11	supra	supra	NOUN
ejpam-3028	73	12	-	-	PUNCT
ejpam-3028	73	13	βcs(x	βcs(x	PROPN
ejpam-3028	73	14	)	)	PUNCT
ejpam-3028	73	15	,	,	PUNCT
ejpam-3028	73	16	supra	supra	NOUN
ejpam-3028	73	17	-	-	PUNCT
ejpam-3028	73	18	bcs(x	bcs(x	PROPN
ejpam-3028	73	19	)	)	PUNCT
ejpam-3028	73	20	)	)	PUNCT
ejpam-3028	73	21	.	.	PUNCT
ejpam-3028	74	1	definition	definition	NOUN
ejpam-3028	74	2	9	9	NUM
ejpam-3028	74	3	(	(	PUNCT
ejpam-3028	74	4	13	13	NUM
ejpam-3028	74	5	)	)	PUNCT
ejpam-3028	74	6	.	.	PUNCT
ejpam-3028	75	1	let	let	AUX
ejpam-3028	75	2	(	(	PUNCT
ejpam-3028	75	3	x,µ,e	x,µ,e	PROPN
ejpam-3028	75	4	)	)	PUNCT
ejpam-3028	75	5	be	be	VERB
ejpam-3028	75	6	a	a	DET
ejpam-3028	75	7	supra	supra	ADJ
ejpam-3028	75	8	soft	soft	ADJ
ejpam-3028	75	9	topological	topological	ADJ
ejpam-3028	75	10	space	space	NOUN
ejpam-3028	75	11	over	over	ADP
ejpam-3028	75	12	x	x	PUNCT
ejpam-3028	75	13	and	and	CCONJ
ejpam-3028	75	14	(	(	PUNCT
ejpam-3028	75	15	f	f	X
ejpam-3028	75	16	,	,	PUNCT
ejpam-3028	75	17	e	e	NOUN
ejpam-3028	75	18	)	)	PUNCT
ejpam-3028	75	19	∈	∈	PROPN
ejpam-3028	75	20	ss(x)e	ss(x)e	PROPN
ejpam-3028	75	21	.	.	PUNCT
ejpam-3028	76	1	then	then	ADV
ejpam-3028	76	2	,	,	PUNCT
ejpam-3028	76	3	the	the	DET
ejpam-3028	76	4	supra	supra	ADJ
ejpam-3028	76	5	p	p	PROPN
ejpam-3028	76	6	-soft	-soft	ADJ
ejpam-3028	76	7	interior	interior	NOUN
ejpam-3028	76	8	of	of	ADP
ejpam-3028	76	9	(	(	PUNCT
ejpam-3028	76	10	f	f	X
ejpam-3028	76	11	,	,	PUNCT
ejpam-3028	76	12	e	e	NOUN
ejpam-3028	76	13	)	)	PUNCT
ejpam-3028	76	14	,	,	PUNCT
ejpam-3028	76	15	denoted	denote	VERB
ejpam-3028	76	16	by	by	ADP
ejpam-3028	76	17	intsp	intsp	NOUN
ejpam-3028	76	18	(	(	PUNCT
ejpam-3028	76	19	f	f	X
ejpam-3028	76	20	,	,	PUNCT
ejpam-3028	76	21	e	e	NOUN
ejpam-3028	76	22	)	)	PUNCT
ejpam-3028	76	23	is	be	AUX
ejpam-3028	76	24	the	the	DET
ejpam-3028	76	25	soft	soft	ADJ
ejpam-3028	76	26	union	union	NOUN
ejpam-3028	76	27	of	of	ADP
ejpam-3028	76	28	all	all	DET
ejpam-3028	76	29	supra	supra	ADJ
ejpam-3028	76	30	pre	pre	ADJ
ejpam-3028	76	31	-	-	ADJ
ejpam-3028	76	32	open	open	ADJ
ejpam-3028	76	33	soft	soft	ADJ
ejpam-3028	76	34	subsets	subset	NOUN
ejpam-3028	76	35	of	of	ADP
ejpam-3028	76	36	(	(	PUNCT
ejpam-3028	76	37	f	f	X
ejpam-3028	76	38	,	,	PUNCT
ejpam-3028	76	39	e	e	NOUN
ejpam-3028	76	40	)	)	PUNCT
ejpam-3028	76	41	i.e	i.e	PRON
ejpam-3028	76	42	intsp	intsp	NOUN
ejpam-3028	76	43	(	(	PUNCT
ejpam-3028	76	44	f	f	X
ejpam-3028	76	45	,	,	PUNCT
ejpam-3028	76	46	e	e	NOUN
ejpam-3028	76	47	)	)	PUNCT
ejpam-3028	76	48	=	=	SYM
ejpam-3028	76	49	⋃̃	⋃̃	X
ejpam-3028	76	50	{	{	PUNCT
ejpam-3028	76	51	(	(	PUNCT
ejpam-3028	76	52	g	g	NOUN
ejpam-3028	76	53	,	,	PUNCT
ejpam-3028	76	54	e	e	NOUN
ejpam-3028	76	55	)	)	PUNCT
ejpam-3028	76	56	:	:	PUNCT
ejpam-3028	76	57	(	(	PUNCT
ejpam-3028	76	58	g	g	NOUN
ejpam-3028	76	59	,	,	PUNCT
ejpam-3028	76	60	e	e	NOUN
ejpam-3028	76	61	)	)	PUNCT
ejpam-3028	76	62	is	be	AUX
ejpam-3028	76	63	a	a	DET
ejpam-3028	76	64	supra	supra	ADJ
ejpam-3028	76	65	pre	pre	ADJ
ejpam-3028	76	66	-	-	ADJ
ejpam-3028	76	67	open	open	ADJ
ejpam-3028	76	68	soft	soft	ADJ
ejpam-3028	76	69	set	set	NOUN
ejpam-3028	76	70	and	and	CCONJ
ejpam-3028	76	71	(	(	PUNCT
ejpam-3028	76	72	g	g	NOUN
ejpam-3028	76	73	,	,	PUNCT
ejpam-3028	76	74	e)⊆̃(f	e)⊆̃(f	PROPN
ejpam-3028	76	75	,	,	PUNCT
ejpam-3028	76	76	e	e	NOUN
ejpam-3028	76	77	)	)	PUNCT
ejpam-3028	76	78	}	}	PUNCT
ejpam-3028	76	79	.	.	PUNCT
ejpam-3028	77	1	f.	f.	PROPN
ejpam-3028	77	2	a.	a.	PROPN
ejpam-3028	77	3	gharib	gharib	PROPN
ejpam-3028	77	4	et	et	PROPN
ejpam-3028	77	5	al	al	PROPN
ejpam-3028	77	6	.	.	PUNCT
ejpam-3028	77	7	/	/	SYM
ejpam-3028	77	8	eur	eur	PROPN
ejpam-3028	77	9	.	.	PUNCT
ejpam-3028	78	1	j.	j.	PROPN
ejpam-3028	78	2	pure	pure	PROPN
ejpam-3028	78	3	appl	appl	PROPN
ejpam-3028	78	4	.	.	PROPN
ejpam-3028	78	5	math	math	PROPN
ejpam-3028	78	6	,	,	PUNCT
ejpam-3028	78	7	10	10	NUM
ejpam-3028	78	8	(	(	PUNCT
ejpam-3028	78	9	4	4	NUM
ejpam-3028	78	10	)	)	PUNCT
ejpam-3028	78	11	(	(	PUNCT
ejpam-3028	78	12	2017	2017	NUM
ejpam-3028	78	13	)	)	PUNCT
ejpam-3028	78	14	,	,	PUNCT
ejpam-3028	78	15	835	835	NUM
ejpam-3028	78	16	-	-	SYM
ejpam-3028	78	17	849	849	NUM
ejpam-3028	78	18	838	838	NUM
ejpam-3028	78	19	also	also	ADV
ejpam-3028	78	20	,	,	PUNCT
ejpam-3028	78	21	the	the	DET
ejpam-3028	78	22	supra	supra	ADJ
ejpam-3028	78	23	p	p	NOUN
ejpam-3028	78	24	-soft	-soft	ADJ
ejpam-3028	78	25	closure	closure	NOUN
ejpam-3028	78	26	of	of	ADP
ejpam-3028	78	27	f	f	PROPN
ejpam-3028	78	28	,	,	PUNCT
ejpam-3028	78	29	denoted	denote	VERB
ejpam-3028	78	30	by	by	ADP
ejpam-3028	78	31	clsp	clsp	ADJ
ejpam-3028	78	32	(	(	PUNCT
ejpam-3028	78	33	f	f	PROPN
ejpam-3028	78	34	,	,	PUNCT
ejpam-3028	78	35	e	e	NOUN
ejpam-3028	78	36	)	)	PUNCT
ejpam-3028	78	37	is	be	AUX
ejpam-3028	78	38	the	the	DET
ejpam-3028	78	39	soft	soft	ADJ
ejpam-3028	78	40	intersection	intersection	NOUN
ejpam-3028	78	41	of	of	ADP
ejpam-3028	78	42	all	all	DET
ejpam-3028	78	43	supra	supra	ADJ
ejpam-3028	78	44	pre	pre	ADJ
ejpam-3028	78	45	-	-	ADJ
ejpam-3028	78	46	closed	closed	ADJ
ejpam-3028	78	47	super	super	ADJ
ejpam-3028	78	48	soft	soft	ADJ
ejpam-3028	78	49	sets	set	NOUN
ejpam-3028	78	50	of	of	ADP
ejpam-3028	78	51	(	(	PUNCT
ejpam-3028	78	52	f	f	X
ejpam-3028	78	53	,	,	PUNCT
ejpam-3028	78	54	e	e	NOUN
ejpam-3028	78	55	)	)	PUNCT
ejpam-3028	78	56	i.e	i.e	PRON
ejpam-3028	78	57	clsp	clsp	ADJ
ejpam-3028	78	58	(	(	PUNCT
ejpam-3028	78	59	f	f	PROPN
ejpam-3028	78	60	,	,	PUNCT
ejpam-3028	78	61	e	e	NOUN
ejpam-3028	78	62	)	)	PUNCT
ejpam-3028	78	63	=	=	SYM
ejpam-3028	78	64	⋂̃	⋂̃	X
ejpam-3028	78	65	{	{	PUNCT
ejpam-3028	78	66	(	(	PUNCT
ejpam-3028	78	67	h	h	NOUN
ejpam-3028	78	68	,	,	PUNCT
ejpam-3028	78	69	e	e	NOUN
ejpam-3028	78	70	)	)	PUNCT
ejpam-3028	78	71	:	:	PUNCT
ejpam-3028	78	72	(	(	PUNCT
ejpam-3028	78	73	h	h	NOUN
ejpam-3028	78	74	,	,	PUNCT
ejpam-3028	78	75	e	e	NOUN
ejpam-3028	78	76	)	)	PUNCT
ejpam-3028	78	77	is	be	AUX
ejpam-3028	78	78	a	a	DET
ejpam-3028	78	79	supra	supra	ADJ
ejpam-3028	78	80	pre	pre	ADJ
ejpam-3028	78	81	-	-	ADJ
ejpam-3028	78	82	closed	closed	ADJ
ejpam-3028	78	83	soft	soft	ADJ
ejpam-3028	78	84	set	set	NOUN
ejpam-3028	78	85	and	and	CCONJ
ejpam-3028	78	86	(	(	PUNCT
ejpam-3028	78	87	f	f	X
ejpam-3028	78	88	,	,	PUNCT
ejpam-3028	78	89	e)⊆̃(h	e)⊆̃(h	PROPN
ejpam-3028	78	90	,	,	PUNCT
ejpam-3028	78	91	e	e	NOUN
ejpam-3028	78	92	)	)	PUNCT
ejpam-3028	78	93	}	}	PUNCT
ejpam-3028	78	94	.	.	PUNCT
ejpam-3028	79	1	definition	definition	NOUN
ejpam-3028	79	2	10	10	NUM
ejpam-3028	79	3	.	.	PUNCT
ejpam-3028	80	1	[	[	X
ejpam-3028	80	2	1	1	X
ejpam-3028	80	3	]	]	PUNCT
ejpam-3028	80	4	a	a	DET
ejpam-3028	80	5	soft	soft	ADJ
ejpam-3028	80	6	set	set	NOUN
ejpam-3028	80	7	(	(	PUNCT
ejpam-3028	80	8	f	f	X
ejpam-3028	80	9	,	,	PUNCT
ejpam-3028	80	10	e	e	NOUN
ejpam-3028	80	11	)	)	PUNCT
ejpam-3028	80	12	is	be	AUX
ejpam-3028	80	13	called	call	VERB
ejpam-3028	80	14	supra	supra	PROPN
ejpam-3028	80	15	soft	soft	ADJ
ejpam-3028	80	16	locally	locally	ADV
ejpam-3028	80	17	closed	close	VERB
ejpam-3028	80	18	in	in	ADP
ejpam-3028	80	19	a	a	DET
ejpam-3028	80	20	supra	supra	ADJ
ejpam-3028	80	21	soft	soft	ADJ
ejpam-3028	80	22	topological	topological	ADJ
ejpam-3028	80	23	space	space	NOUN
ejpam-3028	80	24	(	(	PUNCT
ejpam-3028	80	25	x,µ,e	x,µ,e	PROPN
ejpam-3028	80	26	)	)	PUNCT
ejpam-3028	80	27	if	if	SCONJ
ejpam-3028	80	28	(	(	PUNCT
ejpam-3028	80	29	f	f	X
ejpam-3028	80	30	,	,	PUNCT
ejpam-3028	80	31	e	e	NOUN
ejpam-3028	80	32	)	)	PUNCT
ejpam-3028	80	33	=	=	SYM
ejpam-3028	80	34	(	(	PUNCT
ejpam-3028	80	35	g	g	NOUN
ejpam-3028	80	36	,	,	PUNCT
ejpam-3028	80	37	e)∩̃(h	e)∩̃(h	PROPN
ejpam-3028	80	38	,	,	PUNCT
ejpam-3028	80	39	e	e	NOUN
ejpam-3028	80	40	)	)	PUNCT
ejpam-3028	80	41	where	where	SCONJ
ejpam-3028	80	42	(	(	PUNCT
ejpam-3028	80	43	g	g	NOUN
ejpam-3028	80	44	,	,	PUNCT
ejpam-3028	80	45	e	e	NOUN
ejpam-3028	80	46	)	)	PUNCT
ejpam-3028	80	47	is	be	AUX
ejpam-3028	80	48	supra	supra	ADJ
ejpam-3028	80	49	open	open	ADJ
ejpam-3028	80	50	soft	soft	ADJ
ejpam-3028	80	51	and	and	CCONJ
ejpam-3028	80	52	(	(	PUNCT
ejpam-3028	80	53	h	h	NOUN
ejpam-3028	80	54	,	,	PUNCT
ejpam-3028	80	55	e	e	NOUN
ejpam-3028	80	56	)	)	PUNCT
ejpam-3028	80	57	is	be	AUX
ejpam-3028	80	58	supra	supra	PROPN
ejpam-3028	80	59	closed	close	VERB
ejpam-3028	80	60	soft	soft	ADJ
ejpam-3028	80	61	in	in	ADP
ejpam-3028	80	62	x.	x.	NOUN
ejpam-3028	80	63	we	we	PRON
ejpam-3028	80	64	will	will	AUX
ejpam-3028	80	65	denote	denote	VERB
ejpam-3028	80	66	the	the	DET
ejpam-3028	80	67	family	family	NOUN
ejpam-3028	80	68	of	of	ADP
ejpam-3028	80	69	all	all	DET
ejpam-3028	80	70	supra	supra	PROPN
ejpam-3028	80	71	soft	soft	ADJ
ejpam-3028	80	72	locally	locally	ADV
ejpam-3028	80	73	closed	close	VERB
ejpam-3028	80	74	sets	set	NOUN
ejpam-3028	80	75	of	of	ADP
ejpam-3028	80	76	a	a	DET
ejpam-3028	80	77	supra	supra	ADJ
ejpam-3028	80	78	soft	soft	ADJ
ejpam-3028	80	79	topological	topological	ADJ
ejpam-3028	80	80	space	space	NOUN
ejpam-3028	80	81	x	x	PUNCT
ejpam-3028	80	82	by	by	ADP
ejpam-3028	80	83	supra	supra	PROPN
ejpam-3028	80	84	-	-	PUNCT
ejpam-3028	80	85	slc(x	slc(x	NOUN
ejpam-3028	80	86	)	)	PUNCT
ejpam-3028	80	87	.	.	PUNCT
ejpam-3028	81	1	definition	definition	NOUN
ejpam-3028	81	2	11	11	NUM
ejpam-3028	81	3	(	(	PUNCT
ejpam-3028	81	4	1	1	NUM
ejpam-3028	81	5	)	)	PUNCT
ejpam-3028	81	6	.	.	PUNCT
ejpam-3028	82	1	a	a	DET
ejpam-3028	82	2	soft	soft	ADJ
ejpam-3028	82	3	subset	subset	NOUN
ejpam-3028	82	4	(	(	PUNCT
ejpam-3028	82	5	f	f	X
ejpam-3028	82	6	,	,	PUNCT
ejpam-3028	82	7	e	e	NOUN
ejpam-3028	82	8	)	)	PUNCT
ejpam-3028	82	9	of	of	ADP
ejpam-3028	82	10	a	a	DET
ejpam-3028	82	11	supra	supra	PROPN
ejpam-3028	82	12	soft	soft	ADJ
ejpam-3028	82	13	topological	topological	ADJ
ejpam-3028	82	14	space	space	NOUN
ejpam-3028	82	15	(	(	PUNCT
ejpam-3028	82	16	x,µ,e	x,µ,e	PROPN
ejpam-3028	82	17	)	)	PUNCT
ejpam-3028	82	18	is	be	AUX
ejpam-3028	82	19	called	call	VERB
ejpam-3028	82	20	supra	supra	ADJ
ejpam-3028	82	21	soft	soft	ADJ
ejpam-3028	82	22	dense	dense	ADJ
ejpam-3028	82	23	set	set	NOUN
ejpam-3028	82	24	if	if	SCONJ
ejpam-3028	82	25	cls(f	cls(f	PROPN
ejpam-3028	82	26	,	,	PUNCT
ejpam-3028	82	27	e	e	NOUN
ejpam-3028	82	28	)	)	PUNCT
ejpam-3028	82	29	=	=	SYM
ejpam-3028	83	1	x̃.	x̃.	ADJ
ejpam-3028	83	2	definition	definition	NOUN
ejpam-3028	83	3	12	12	NUM
ejpam-3028	83	4	(	(	PUNCT
ejpam-3028	83	5	1	1	NUM
ejpam-3028	83	6	)	)	PUNCT
ejpam-3028	83	7	.	.	PUNCT
ejpam-3028	84	1	a	a	DET
ejpam-3028	84	2	supra	supra	PROPN
ejpam-3028	84	3	soft	soft	ADJ
ejpam-3028	84	4	topological	topological	ADJ
ejpam-3028	84	5	space	space	NOUN
ejpam-3028	84	6	(	(	PUNCT
ejpam-3028	84	7	x,µ,e	x,µ,e	PROPN
ejpam-3028	84	8	)	)	PUNCT
ejpam-3028	84	9	is	be	AUX
ejpam-3028	84	10	called	call	VERB
ejpam-3028	84	11	supra	supra	ADJ
ejpam-3028	84	12	soft	soft	ADJ
ejpam-3028	84	13	submaximal	submaximal	ADJ
ejpam-3028	84	14	if	if	SCONJ
ejpam-3028	84	15	every	every	DET
ejpam-3028	84	16	supra	supra	ADJ
ejpam-3028	84	17	soft	soft	ADJ
ejpam-3028	84	18	dense	dense	ADJ
ejpam-3028	84	19	subset	subset	NOUN
ejpam-3028	84	20	of	of	ADP
ejpam-3028	84	21	(	(	PUNCT
ejpam-3028	84	22	x,µ,e	x,µ,e	PROPN
ejpam-3028	84	23	)	)	PUNCT
ejpam-3028	84	24	is	be	AUX
ejpam-3028	84	25	supra	supra	ADJ
ejpam-3028	84	26	open	open	ADJ
ejpam-3028	84	27	soft	soft	ADJ
ejpam-3028	84	28	.	.	PUNCT
ejpam-3028	85	1	definition	definition	NOUN
ejpam-3028	85	2	13	13	NUM
ejpam-3028	85	3	(	(	PUNCT
ejpam-3028	85	4	1,3,13	1,3,13	NUM
ejpam-3028	85	5	)	)	PUNCT
ejpam-3028	85	6	.	.	PUNCT
ejpam-3028	86	1	let	let	AUX
ejpam-3028	86	2	(	(	PUNCT
ejpam-3028	86	3	x	x	NOUN
ejpam-3028	86	4	,	,	PUNCT
ejpam-3028	86	5	τ1	τ1	PROPN
ejpam-3028	86	6	,	,	PUNCT
ejpam-3028	86	7	a	a	PRON
ejpam-3028	86	8	)	)	PUNCT
ejpam-3028	86	9	and	and	CCONJ
ejpam-3028	86	10	(	(	PUNCT
ejpam-3028	86	11	y	y	PROPN
ejpam-3028	86	12	,	,	PUNCT
ejpam-3028	86	13	τ2	τ2	PROPN
ejpam-3028	86	14	,	,	PUNCT
ejpam-3028	86	15	b	b	NOUN
ejpam-3028	86	16	)	)	PUNCT
ejpam-3028	86	17	be	be	AUX
ejpam-3028	86	18	soft	soft	ADJ
ejpam-3028	86	19	topological	topological	ADJ
ejpam-3028	86	20	spaces	space	NOUN
ejpam-3028	86	21	.	.	PUNCT
ejpam-3028	87	1	let	let	VERB
ejpam-3028	87	2	µ1	µ1	PROPN
ejpam-3028	87	3	be	be	AUX
ejpam-3028	87	4	an	an	DET
ejpam-3028	87	5	associated	associated	ADJ
ejpam-3028	87	6	supra	supra	PROPN
ejpam-3028	87	7	soft	soft	ADJ
ejpam-3028	87	8	topology	topology	NOUN
ejpam-3028	87	9	with	with	ADP
ejpam-3028	87	10	τ1	τ1	NOUN
ejpam-3028	87	11	.	.	PUNCT
ejpam-3028	88	1	let	let	VERB
ejpam-3028	88	2	u	u	PRON
ejpam-3028	88	3	:	:	PUNCT
ejpam-3028	88	4	x	x	SYM
ejpam-3028	88	5	→	→	SYM
ejpam-3028	88	6	y	y	PROPN
ejpam-3028	88	7	and	and	CCONJ
ejpam-3028	88	8	p	p	X
ejpam-3028	88	9	:	:	PUNCT
ejpam-3028	88	10	a→	a→	PROPN
ejpam-3028	88	11	b	b	NOUN
ejpam-3028	88	12	be	be	AUX
ejpam-3028	88	13	mappings	mapping	NOUN
ejpam-3028	88	14	.	.	PUNCT
ejpam-3028	89	1	let	let	AUX
ejpam-3028	89	2	fpu	fpu	PROPN
ejpam-3028	89	3	:	:	PUNCT
ejpam-3028	89	4	ss(x)a	ss(x)a	PROPN
ejpam-3028	89	5	→	→	SYM
ejpam-3028	89	6	ss(y	ss(y	NUM
ejpam-3028	89	7	)	)	PUNCT
ejpam-3028	89	8	b	b	X
ejpam-3028	89	9	be	be	AUX
ejpam-3028	89	10	a	a	DET
ejpam-3028	89	11	function	function	NOUN
ejpam-3028	89	12	.	.	PUNCT
ejpam-3028	90	1	then	then	ADV
ejpam-3028	90	2	,	,	PUNCT
ejpam-3028	90	3	fpu	fpu	PROPN
ejpam-3028	90	4	is	be	AUX
ejpam-3028	90	5	called	call	VERB
ejpam-3028	90	6	:	:	PUNCT
ejpam-3028	90	7	(	(	PUNCT
ejpam-3028	90	8	1	1	X
ejpam-3028	90	9	)	)	PUNCT
ejpam-3028	90	10	supra	supra	NOUN
ejpam-3028	90	11	soft	soft	ADJ
ejpam-3028	90	12	continuous	continuous	ADJ
ejpam-3028	90	13	if	if	SCONJ
ejpam-3028	90	14	f−1pu	f−1pu	PROPN
ejpam-3028	90	15	(	(	PUNCT
ejpam-3028	90	16	g	g	PROPN
ejpam-3028	90	17	,	,	PUNCT
ejpam-3028	90	18	b	b	NOUN
ejpam-3028	90	19	)	)	PUNCT
ejpam-3028	90	20	∈	∈	PROPN
ejpam-3028	90	21	µ1	µ1	NOUN
ejpam-3028	90	22	∀	∀	X
ejpam-3028	90	23	(	(	PUNCT
ejpam-3028	90	24	g	g	NOUN
ejpam-3028	90	25	,	,	PUNCT
ejpam-3028	90	26	b	b	NOUN
ejpam-3028	90	27	)	)	PUNCT
ejpam-3028	90	28	∈	∈	PROPN
ejpam-3028	90	29	τ2	τ2	NOUN
ejpam-3028	90	30	.	.	PUNCT
ejpam-3028	91	1	(	(	PUNCT
ejpam-3028	91	2	2	2	X
ejpam-3028	91	3	)	)	PUNCT
ejpam-3028	91	4	supra	supra	NOUN
ejpam-3028	91	5	soft	soft	ADJ
ejpam-3028	91	6	pre	pre	ADJ
ejpam-3028	91	7	-	-	ADJ
ejpam-3028	91	8	continuous	continuous	ADJ
ejpam-3028	91	9	if	if	SCONJ
ejpam-3028	91	10	f−1pu	f−1pu	PROPN
ejpam-3028	91	11	(	(	PUNCT
ejpam-3028	91	12	g	g	PROPN
ejpam-3028	91	13	,	,	PUNCT
ejpam-3028	91	14	b	b	NOUN
ejpam-3028	91	15	)	)	PUNCT
ejpam-3028	91	16	∈	∈	PROPN
ejpam-3028	91	17	supra	supra	NOUN
ejpam-3028	91	18	-	-	PUNCT
ejpam-3028	91	19	pos(x	pos(x	PROPN
ejpam-3028	91	20	)	)	PUNCT
ejpam-3028	91	21	∀	∀	X
ejpam-3028	91	22	(	(	PUNCT
ejpam-3028	91	23	g	g	NOUN
ejpam-3028	91	24	,	,	PUNCT
ejpam-3028	91	25	b	b	NOUN
ejpam-3028	91	26	)	)	PUNCT
ejpam-3028	91	27	∈	∈	PROPN
ejpam-3028	91	28	τ2	τ2	NOUN
ejpam-3028	91	29	.	.	PUNCT
ejpam-3028	92	1	(	(	PUNCT
ejpam-3028	92	2	3	3	X
ejpam-3028	92	3	)	)	PUNCT
ejpam-3028	92	4	supra	supra	NOUN
ejpam-3028	92	5	soft	soft	ADJ
ejpam-3028	92	6	semi	semi	ADJ
ejpam-3028	92	7	-	-	ADJ
ejpam-3028	92	8	continuous	continuous	ADJ
ejpam-3028	92	9	if	if	SCONJ
ejpam-3028	92	10	f−1pu	f−1pu	PROPN
ejpam-3028	92	11	(	(	PUNCT
ejpam-3028	92	12	g	g	PROPN
ejpam-3028	92	13	,	,	PUNCT
ejpam-3028	92	14	b	b	NOUN
ejpam-3028	92	15	)	)	PUNCT
ejpam-3028	92	16	∈	∈	PROPN
ejpam-3028	92	17	supra	supra	PROPN
ejpam-3028	92	18	-	-	PUNCT
ejpam-3028	92	19	sos(x	sos(x	PROPN
ejpam-3028	92	20	)	)	PUNCT
ejpam-3028	92	21	∀	∀	X
ejpam-3028	93	1	(	(	PUNCT
ejpam-3028	93	2	g	g	NOUN
ejpam-3028	93	3	,	,	PUNCT
ejpam-3028	93	4	b	b	NOUN
ejpam-3028	93	5	)	)	PUNCT
ejpam-3028	93	6	∈	∈	PROPN
ejpam-3028	93	7	τ2	τ2	NOUN
ejpam-3028	93	8	.	.	PUNCT
ejpam-3028	94	1	(	(	PUNCT
ejpam-3028	94	2	4	4	X
ejpam-3028	94	3	)	)	PUNCT
ejpam-3028	94	4	supra	supra	NOUN
ejpam-3028	94	5	soft	soft	ADJ
ejpam-3028	94	6	α	α	NOUN
ejpam-3028	94	7	-	-	ADJ
ejpam-3028	94	8	continuous	continuous	ADJ
ejpam-3028	94	9	if	if	SCONJ
ejpam-3028	94	10	f−1pu	f−1pu	PROPN
ejpam-3028	94	11	(	(	PUNCT
ejpam-3028	94	12	g	g	PROPN
ejpam-3028	94	13	,	,	PUNCT
ejpam-3028	94	14	b	b	NOUN
ejpam-3028	94	15	)	)	PUNCT
ejpam-3028	94	16	∈	∈	PROPN
ejpam-3028	94	17	supra	supra	NOUN
ejpam-3028	94	18	-	-	PUNCT
ejpam-3028	94	19	αos(x	αos(x	NOUN
ejpam-3028	94	20	)	)	PUNCT
ejpam-3028	94	21	∀	∀	X
ejpam-3028	95	1	(	(	PUNCT
ejpam-3028	95	2	g	g	NOUN
ejpam-3028	95	3	,	,	PUNCT
ejpam-3028	95	4	b	b	NOUN
ejpam-3028	95	5	)	)	PUNCT
ejpam-3028	95	6	∈	∈	PROPN
ejpam-3028	95	7	τ2	τ2	NOUN
ejpam-3028	95	8	.	.	PUNCT
ejpam-3028	96	1	(	(	PUNCT
ejpam-3028	96	2	5	5	X
ejpam-3028	96	3	)	)	PUNCT
ejpam-3028	96	4	supra	supra	NOUN
ejpam-3028	96	5	soft	soft	ADJ
ejpam-3028	96	6	β	β	NOUN
ejpam-3028	96	7	-	-	ADJ
ejpam-3028	96	8	continuous	continuous	ADJ
ejpam-3028	96	9	if	if	SCONJ
ejpam-3028	96	10	f−1pu	f−1pu	PROPN
ejpam-3028	96	11	(	(	PUNCT
ejpam-3028	96	12	g	g	PROPN
ejpam-3028	96	13	,	,	PUNCT
ejpam-3028	96	14	b	b	NOUN
ejpam-3028	96	15	)	)	PUNCT
ejpam-3028	96	16	∈	∈	PROPN
ejpam-3028	96	17	supra	supra	NOUN
ejpam-3028	96	18	-	-	PUNCT
ejpam-3028	96	19	βos(x	βos(x	PROPN
ejpam-3028	96	20	)	)	PUNCT
ejpam-3028	96	21	∀	∀	X
ejpam-3028	97	1	(	(	PUNCT
ejpam-3028	97	2	g	g	NOUN
ejpam-3028	97	3	,	,	PUNCT
ejpam-3028	97	4	b	b	NOUN
ejpam-3028	97	5	)	)	PUNCT
ejpam-3028	97	6	∈	∈	PROPN
ejpam-3028	97	7	τ2	τ2	NOUN
ejpam-3028	97	8	.	.	PUNCT
ejpam-3028	98	1	(	(	PUNCT
ejpam-3028	98	2	6	6	NUM
ejpam-3028	98	3	)	)	PUNCT
ejpam-3028	98	4	supra	supra	NOUN
ejpam-3028	98	5	soft	soft	ADJ
ejpam-3028	98	6	b	b	NOUN
ejpam-3028	98	7	-	-	PUNCT
ejpam-3028	98	8	continuous	continuous	ADJ
ejpam-3028	98	9	if	if	SCONJ
ejpam-3028	98	10	f−1pu	f−1pu	PROPN
ejpam-3028	98	11	(	(	PUNCT
ejpam-3028	98	12	g	g	PROPN
ejpam-3028	98	13	,	,	PUNCT
ejpam-3028	98	14	b	b	NOUN
ejpam-3028	98	15	)	)	PUNCT
ejpam-3028	98	16	∈	∈	PROPN
ejpam-3028	98	17	supra	supra	NOUN
ejpam-3028	98	18	-	-	PUNCT
ejpam-3028	98	19	bos(x	bos(x	NOUN
ejpam-3028	98	20	)	)	PUNCT
ejpam-3028	98	21	∀	∀	NOUN
ejpam-3028	98	22	(	(	PUNCT
ejpam-3028	98	23	g	g	NOUN
ejpam-3028	98	24	,	,	PUNCT
ejpam-3028	98	25	b	b	NOUN
ejpam-3028	98	26	)	)	PUNCT
ejpam-3028	98	27	∈	∈	PROPN
ejpam-3028	98	28	τ2	τ2	NOUN
ejpam-3028	98	29	.	.	PUNCT
ejpam-3028	99	1	(	(	PUNCT
ejpam-3028	99	2	7	7	X
ejpam-3028	99	3	)	)	PUNCT
ejpam-3028	99	4	supra	supra	NOUN
ejpam-3028	99	5	soft	soft	ADJ
ejpam-3028	99	6	a	a	PRON
ejpam-3028	99	7	-	-	PUNCT
ejpam-3028	99	8	continuous	continuous	ADJ
ejpam-3028	99	9	function	function	NOUN
ejpam-3028	99	10	if	if	SCONJ
ejpam-3028	99	11	f−1pu	f−1pu	PROPN
ejpam-3028	99	12	(	(	PUNCT
ejpam-3028	99	13	g	g	PROPN
ejpam-3028	99	14	,	,	PUNCT
ejpam-3028	99	15	b	b	NOUN
ejpam-3028	99	16	)	)	PUNCT
ejpam-3028	99	17	∈	∈	NOUN
ejpam-3028	99	18	supra−as(x	supra−as(x	NOUN
ejpam-3028	99	19	)	)	PUNCT
ejpam-3028	99	20	∀	∀	X
ejpam-3028	100	1	(	(	PUNCT
ejpam-3028	100	2	g	g	NOUN
ejpam-3028	100	3	,	,	PUNCT
ejpam-3028	100	4	b	b	NOUN
ejpam-3028	100	5	)	)	PUNCT
ejpam-3028	100	6	∈	∈	PROPN
ejpam-3028	100	7	τ2	τ2	NOUN
ejpam-3028	100	8	.	.	PUNCT
ejpam-3028	101	1	(	(	PUNCT
ejpam-3028	101	2	8)	8)	NUM
ejpam-3028	101	3	supra	supra	NOUN
ejpam-3028	101	4	soft	soft	ADJ
ejpam-3028	101	5	locally	locally	ADV
ejpam-3028	101	6	closed	close	VERB
ejpam-3028	101	7	continuous	continuous	ADJ
ejpam-3028	101	8	function	function	NOUN
ejpam-3028	101	9	(	(	PUNCT
ejpam-3028	101	10	supra	supra	PROPN
ejpam-3028	101	11	slc	slc	PROPN
ejpam-3028	101	12	-	-	PUNCT
ejpam-3028	101	13	continuous	continuous	ADJ
ejpam-3028	101	14	)	)	PUNCT
ejpam-3028	101	15	if	if	SCONJ
ejpam-3028	101	16	f−1pu	f−1pu	PROPN
ejpam-3028	101	17	(	(	PUNCT
ejpam-3028	101	18	g	g	PROPN
ejpam-3028	101	19	,	,	PUNCT
ejpam-3028	101	20	b	b	NOUN
ejpam-3028	101	21	)	)	PUNCT
ejpam-3028	101	22	∈	∈	PROPN
ejpam-3028	101	23	supra−	supra−	NOUN
ejpam-3028	101	24	slc(x	slc(x	PROPN
ejpam-3028	101	25	)	)	PUNCT
ejpam-3028	101	26	∀	∀	X
ejpam-3028	101	27	(	(	PUNCT
ejpam-3028	101	28	g	g	NOUN
ejpam-3028	101	29	,	,	PUNCT
ejpam-3028	101	30	b	b	NOUN
ejpam-3028	101	31	)	)	PUNCT
ejpam-3028	101	32	∈	∈	PROPN
ejpam-3028	101	33	τ2	τ2	PROPN
ejpam-3028	101	34	.	.	PUNCT
ejpam-3028	102	1	definition	definition	NOUN
ejpam-3028	102	2	14	14	NUM
ejpam-3028	102	3	(	(	PUNCT
ejpam-3028	102	4	2	2	NUM
ejpam-3028	102	5	)	)	PUNCT
ejpam-3028	102	6	.	.	PUNCT
ejpam-3028	103	1	let	let	VERB
ejpam-3028	103	2	(	(	PUNCT
ejpam-3028	103	3	f	f	X
ejpam-3028	103	4	,	,	PUNCT
ejpam-3028	103	5	e	e	NOUN
ejpam-3028	103	6	)	)	PUNCT
ejpam-3028	103	7	be	be	AUX
ejpam-3028	103	8	a	a	DET
ejpam-3028	103	9	soft	soft	ADJ
ejpam-3028	103	10	subset	subset	NOUN
ejpam-3028	103	11	of	of	ADP
ejpam-3028	103	12	a	a	DET
ejpam-3028	103	13	supra	supra	PROPN
ejpam-3028	103	14	soft	soft	ADJ
ejpam-3028	103	15	topological	topological	ADJ
ejpam-3028	103	16	space	space	NOUN
ejpam-3028	103	17	(	(	PUNCT
ejpam-3028	103	18	x,µ,e	x,µ,e	PROPN
ejpam-3028	103	19	)	)	PUNCT
ejpam-3028	103	20	such	such	ADJ
ejpam-3028	103	21	that	that	SCONJ
ejpam-3028	103	22	(	(	PUNCT
ejpam-3028	103	23	f	f	X
ejpam-3028	103	24	,	,	PUNCT
ejpam-3028	103	25	e	e	NOUN
ejpam-3028	103	26	)	)	PUNCT
ejpam-3028	103	27	=	=	SYM
ejpam-3028	103	28	(	(	PUNCT
ejpam-3028	103	29	g	g	NOUN
ejpam-3028	103	30	,	,	PUNCT
ejpam-3028	103	31	e)∩̃(h	e)∩̃(h	PROPN
ejpam-3028	103	32	,	,	PUNCT
ejpam-3028	103	33	e	e	NOUN
ejpam-3028	103	34	)	)	PUNCT
ejpam-3028	103	35	,	,	PUNCT
ejpam-3028	103	36	then	then	ADV
ejpam-3028	103	37	(	(	PUNCT
ejpam-3028	103	38	f	f	X
ejpam-3028	103	39	,	,	PUNCT
ejpam-3028	103	40	e	e	NOUN
ejpam-3028	103	41	)	)	PUNCT
ejpam-3028	103	42	is	be	AUX
ejpam-3028	103	43	said	say	VERB
ejpam-3028	103	44	to	to	PART
ejpam-3028	103	45	be	be	AUX
ejpam-3028	103	46	supra	supra	ADJ
ejpam-3028	103	47	soft	soft	ADJ
ejpam-3028	103	48	α	α	NOUN
ejpam-3028	103	49	-	-	ADJ
ejpam-3028	103	50	locally	locally	ADV
ejpam-3028	103	51	closed	close	VERB
ejpam-3028	103	52	if	if	SCONJ
ejpam-3028	103	53	(	(	PUNCT
ejpam-3028	103	54	g	g	NOUN
ejpam-3028	103	55	,	,	PUNCT
ejpam-3028	103	56	e	e	NOUN
ejpam-3028	103	57	)	)	PUNCT
ejpam-3028	103	58	is	be	AUX
ejpam-3028	103	59	a	a	DET
ejpam-3028	103	60	supra	supra	ADJ
ejpam-3028	103	61	α	α	NOUN
ejpam-3028	103	62	-	-	ADJ
ejpam-3028	103	63	open	open	ADJ
ejpam-3028	103	64	soft	soft	ADJ
ejpam-3028	103	65	and	and	CCONJ
ejpam-3028	103	66	(	(	PUNCT
ejpam-3028	103	67	h	h	NOUN
ejpam-3028	103	68	,	,	PUNCT
ejpam-3028	103	69	e	e	NOUN
ejpam-3028	103	70	)	)	PUNCT
ejpam-3028	103	71	is	be	AUX
ejpam-3028	103	72	a	a	DET
ejpam-3028	103	73	supra	supra	ADJ
ejpam-3028	103	74	α	α	NOUN
ejpam-3028	103	75	-	-	PUNCT
ejpam-3028	103	76	closed	close	VERB
ejpam-3028	103	77	soft	soft	ADJ
ejpam-3028	103	78	in	in	ADP
ejpam-3028	103	79	x.	x.	NOUN
ejpam-3028	103	80	we	we	PRON
ejpam-3028	103	81	will	will	AUX
ejpam-3028	103	82	denote	denote	VERB
ejpam-3028	103	83	the	the	DET
ejpam-3028	103	84	family	family	NOUN
ejpam-3028	103	85	of	of	ADP
ejpam-3028	103	86	all	all	DET
ejpam-3028	103	87	supra	supra	PROPN
ejpam-3028	103	88	soft	soft	ADJ
ejpam-3028	103	89	α	α	NOUN
ejpam-3028	103	90	-	-	ADJ
ejpam-3028	103	91	locally	locally	ADV
ejpam-3028	103	92	closed	closed	ADJ
ejpam-3028	103	93	sets	set	NOUN
ejpam-3028	103	94	of	of	ADP
ejpam-3028	103	95	a	a	DET
ejpam-3028	103	96	supra	supra	ADJ
ejpam-3028	103	97	soft	soft	ADJ
ejpam-3028	103	98	topological	topological	ADJ
ejpam-3028	103	99	space	space	NOUN
ejpam-3028	103	100	x	x	PUNCT
ejpam-3028	103	101	by	by	ADP
ejpam-3028	103	102	supra	supra	NOUN
ejpam-3028	103	103	-	-	PUNCT
ejpam-3028	103	104	sαlc(x	sαlc(x	NOUN
ejpam-3028	103	105	)	)	PUNCT
ejpam-3028	103	106	.	.	PUNCT
ejpam-3028	104	1	f.	f.	PROPN
ejpam-3028	104	2	a.	a.	PROPN
ejpam-3028	104	3	gharib	gharib	PROPN
ejpam-3028	104	4	et	et	PROPN
ejpam-3028	104	5	al	al	PROPN
ejpam-3028	104	6	.	.	PUNCT
ejpam-3028	104	7	/	/	SYM
ejpam-3028	104	8	eur	eur	PROPN
ejpam-3028	104	9	.	.	PUNCT
ejpam-3028	105	1	j.	j.	PROPN
ejpam-3028	105	2	pure	pure	PROPN
ejpam-3028	105	3	appl	appl	PROPN
ejpam-3028	105	4	.	.	PROPN
ejpam-3028	105	5	math	math	PROPN
ejpam-3028	105	6	,	,	PUNCT
ejpam-3028	105	7	10	10	NUM
ejpam-3028	105	8	(	(	PUNCT
ejpam-3028	105	9	4	4	NUM
ejpam-3028	105	10	)	)	PUNCT
ejpam-3028	105	11	(	(	PUNCT
ejpam-3028	105	12	2017	2017	NUM
ejpam-3028	105	13	)	)	PUNCT
ejpam-3028	105	14	,	,	PUNCT
ejpam-3028	105	15	835	835	NUM
ejpam-3028	105	16	-	-	SYM
ejpam-3028	105	17	849	849	NUM
ejpam-3028	105	18	839	839	NUM
ejpam-3028	105	19	3	3	NUM
ejpam-3028	105	20	.	.	PUNCT
ejpam-3028	106	1	supra	supra	PROPN
ejpam-3028	106	2	soft	soft	ADJ
ejpam-3028	106	3	pre	pre	ADJ
ejpam-3028	106	4	-	-	ADJ
ejpam-3028	106	5	locally	locally	ADV
ejpam-3028	106	6	closed	closed	ADJ
ejpam-3028	106	7	sets	set	NOUN
ejpam-3028	106	8	in	in	ADP
ejpam-3028	106	9	this	this	DET
ejpam-3028	106	10	section	section	NOUN
ejpam-3028	107	1	,	,	PUNCT
ejpam-3028	107	2	we	we	PRON
ejpam-3028	107	3	introduce	introduce	VERB
ejpam-3028	107	4	the	the	DET
ejpam-3028	107	5	notion	notion	NOUN
ejpam-3028	107	6	of	of	ADP
ejpam-3028	107	7	supra	supra	PROPN
ejpam-3028	107	8	soft	soft	ADJ
ejpam-3028	107	9	p	p	NOUN
ejpam-3028	107	10	-locally	-locally	ADV
ejpam-3028	107	11	closed	closed	ADJ
ejpam-3028	107	12	sets	set	NOUN
ejpam-3028	107	13	in	in	ADP
ejpam-3028	107	14	supra	supra	PROPN
ejpam-3028	107	15	soft	soft	ADJ
ejpam-3028	107	16	topological	topological	ADJ
ejpam-3028	107	17	spaces	space	NOUN
ejpam-3028	107	18	and	and	CCONJ
ejpam-3028	107	19	discuss	discuss	VERB
ejpam-3028	107	20	its	its	PRON
ejpam-3028	107	21	relationships	relationship	NOUN
ejpam-3028	107	22	with	with	ADP
ejpam-3028	107	23	other	other	ADJ
ejpam-3028	107	24	supra	supra	NOUN
ejpam-3028	107	25	open	open	ADJ
ejpam-3028	107	26	soft	soft	ADJ
ejpam-3028	107	27	sets	set	NOUN
ejpam-3028	107	28	in	in	ADP
ejpam-3028	107	29	detail	detail	NOUN
ejpam-3028	107	30	,	,	PUNCT
ejpam-3028	107	31	supported	support	VERB
ejpam-3028	107	32	by	by	ADP
ejpam-3028	107	33	counterexamples	counterexample	NOUN
ejpam-3028	107	34	.	.	PUNCT
ejpam-3028	108	1	also	also	ADV
ejpam-3028	108	2	,	,	PUNCT
ejpam-3028	108	3	the	the	DET
ejpam-3028	108	4	notions	notion	NOUN
ejpam-3028	108	5	of	of	ADP
ejpam-3028	108	6	supra	supra	PROPN
ejpam-3028	108	7	soft	soft	ADJ
ejpam-3028	108	8	p	p	NOUN
ejpam-3028	108	9	∗-locally	∗-locally	ADV
ejpam-3028	108	10	closed	close	VERB
ejpam-3028	108	11	sets	set	NOUN
ejpam-3028	108	12	and	and	CCONJ
ejpam-3028	108	13	supra	supra	PROPN
ejpam-3028	108	14	soft	soft	ADJ
ejpam-3028	108	15	p	p	X
ejpam-3028	108	16	∗∗-locally	∗∗-locally	ADV
ejpam-3028	108	17	closed	close	VERB
ejpam-3028	108	18	sets	set	NOUN
ejpam-3028	108	19	are	be	AUX
ejpam-3028	108	20	introduced	introduce	VERB
ejpam-3028	108	21	and	and	CCONJ
ejpam-3028	108	22	studied	study	VERB
ejpam-3028	108	23	.	.	PUNCT
ejpam-3028	109	1	definition	definition	NOUN
ejpam-3028	109	2	15	15	NUM
ejpam-3028	109	3	.	.	PUNCT
ejpam-3028	110	1	let	let	AUX
ejpam-3028	110	2	(	(	PUNCT
ejpam-3028	110	3	f	f	X
ejpam-3028	110	4	,	,	PUNCT
ejpam-3028	110	5	e	e	NOUN
ejpam-3028	110	6	)	)	PUNCT
ejpam-3028	110	7	be	be	AUX
ejpam-3028	110	8	a	a	DET
ejpam-3028	110	9	soft	soft	ADJ
ejpam-3028	110	10	subset	subset	NOUN
ejpam-3028	110	11	of	of	ADP
ejpam-3028	110	12	a	a	DET
ejpam-3028	110	13	supra	supra	PROPN
ejpam-3028	110	14	soft	soft	ADJ
ejpam-3028	110	15	topological	topological	ADJ
ejpam-3028	110	16	space	space	NOUN
ejpam-3028	110	17	(	(	PUNCT
ejpam-3028	110	18	x,µ,e	x,µ,e	PROPN
ejpam-3028	110	19	)	)	PUNCT
ejpam-3028	110	20	such	such	ADJ
ejpam-3028	110	21	that	that	SCONJ
ejpam-3028	110	22	(	(	PUNCT
ejpam-3028	110	23	f	f	X
ejpam-3028	110	24	,	,	PUNCT
ejpam-3028	110	25	e	e	NOUN
ejpam-3028	110	26	)	)	PUNCT
ejpam-3028	110	27	=	=	SYM
ejpam-3028	110	28	(	(	PUNCT
ejpam-3028	110	29	g	g	NOUN
ejpam-3028	110	30	,	,	PUNCT
ejpam-3028	110	31	e)∩̃(h	e)∩̃(h	PROPN
ejpam-3028	110	32	,	,	PUNCT
ejpam-3028	110	33	e	e	NOUN
ejpam-3028	110	34	)	)	PUNCT
ejpam-3028	110	35	,	,	PUNCT
ejpam-3028	110	36	then	then	ADV
ejpam-3028	110	37	(	(	PUNCT
ejpam-3028	110	38	f	f	X
ejpam-3028	110	39	,	,	PUNCT
ejpam-3028	110	40	e	e	NOUN
ejpam-3028	110	41	)	)	PUNCT
ejpam-3028	110	42	is	be	AUX
ejpam-3028	110	43	said	say	VERB
ejpam-3028	110	44	to	to	PART
ejpam-3028	110	45	be	be	AUX
ejpam-3028	110	46	:	:	PUNCT
ejpam-3028	110	47	(	(	PUNCT
ejpam-3028	110	48	1	1	X
ejpam-3028	110	49	)	)	PUNCT
ejpam-3028	110	50	supra	supra	NOUN
ejpam-3028	110	51	soft	soft	ADJ
ejpam-3028	110	52	p	p	NOUN
ejpam-3028	110	53	-locally	-locally	ADV
ejpam-3028	110	54	closed	closed	ADJ
ejpam-3028	110	55	if	if	SCONJ
ejpam-3028	110	56	(	(	PUNCT
ejpam-3028	110	57	g	g	NOUN
ejpam-3028	110	58	,	,	PUNCT
ejpam-3028	110	59	e	e	NOUN
ejpam-3028	110	60	)	)	PUNCT
ejpam-3028	110	61	is	be	AUX
ejpam-3028	110	62	a	a	DET
ejpam-3028	110	63	supra	supra	ADJ
ejpam-3028	110	64	pre	pre	ADJ
ejpam-3028	110	65	-	-	ADJ
ejpam-3028	110	66	open	open	ADJ
ejpam-3028	110	67	soft	soft	ADJ
ejpam-3028	110	68	and	and	CCONJ
ejpam-3028	110	69	(	(	PUNCT
ejpam-3028	110	70	h	h	NOUN
ejpam-3028	110	71	,	,	PUNCT
ejpam-3028	110	72	e	e	NOUN
ejpam-3028	110	73	)	)	PUNCT
ejpam-3028	110	74	is	be	AUX
ejpam-3028	110	75	a	a	DET
ejpam-3028	110	76	supra	supra	ADJ
ejpam-3028	110	77	pre	pre	ADJ
ejpam-3028	110	78	-	-	ADJ
ejpam-3028	110	79	closed	closed	ADJ
ejpam-3028	110	80	soft	soft	ADJ
ejpam-3028	110	81	in	in	ADP
ejpam-3028	110	82	x.	x.	NOUN
ejpam-3028	110	83	(	(	PUNCT
ejpam-3028	110	84	2	2	NUM
ejpam-3028	110	85	)	)	PUNCT
ejpam-3028	110	86	supra	supra	NOUN
ejpam-3028	110	87	soft	soft	ADJ
ejpam-3028	110	88	p	p	NOUN
ejpam-3028	110	89	∗-locally	∗-locally	ADV
ejpam-3028	110	90	closed	close	VERB
ejpam-3028	110	91	if	if	SCONJ
ejpam-3028	110	92	(	(	PUNCT
ejpam-3028	110	93	g	g	NOUN
ejpam-3028	110	94	,	,	PUNCT
ejpam-3028	110	95	e	e	NOUN
ejpam-3028	110	96	)	)	PUNCT
ejpam-3028	110	97	is	be	AUX
ejpam-3028	110	98	a	a	DET
ejpam-3028	110	99	supra	supra	ADJ
ejpam-3028	111	1	pre	pre	ADJ
ejpam-3028	111	2	-	-	ADJ
ejpam-3028	111	3	open	open	ADJ
ejpam-3028	111	4	soft	soft	ADJ
ejpam-3028	111	5	and	and	CCONJ
ejpam-3028	111	6	(	(	PUNCT
ejpam-3028	111	7	h	h	NOUN
ejpam-3028	111	8	,	,	PUNCT
ejpam-3028	111	9	e	e	NOUN
ejpam-3028	111	10	)	)	PUNCT
ejpam-3028	111	11	is	be	AUX
ejpam-3028	111	12	a	a	DET
ejpam-3028	111	13	supra	supra	NOUN
ejpam-3028	111	14	closed	close	VERB
ejpam-3028	111	15	soft	soft	ADJ
ejpam-3028	111	16	in	in	ADP
ejpam-3028	111	17	x.	x.	NOUN
ejpam-3028	111	18	(	(	PUNCT
ejpam-3028	111	19	3	3	NUM
ejpam-3028	111	20	)	)	PUNCT
ejpam-3028	111	21	supra	supra	NOUN
ejpam-3028	111	22	soft	soft	ADJ
ejpam-3028	111	23	p	p	X
ejpam-3028	111	24	∗∗-locally	∗∗-locally	ADV
ejpam-3028	111	25	closed	closed	ADJ
ejpam-3028	111	26	if	if	SCONJ
ejpam-3028	111	27	(	(	PUNCT
ejpam-3028	111	28	g	g	NOUN
ejpam-3028	111	29	,	,	PUNCT
ejpam-3028	111	30	e	e	NOUN
ejpam-3028	111	31	)	)	PUNCT
ejpam-3028	111	32	is	be	AUX
ejpam-3028	111	33	a	a	DET
ejpam-3028	111	34	supra	supra	ADJ
ejpam-3028	111	35	open	open	ADJ
ejpam-3028	111	36	soft	soft	ADJ
ejpam-3028	111	37	and	and	CCONJ
ejpam-3028	111	38	(	(	PUNCT
ejpam-3028	111	39	h	h	NOUN
ejpam-3028	111	40	,	,	PUNCT
ejpam-3028	111	41	e	e	NOUN
ejpam-3028	111	42	)	)	PUNCT
ejpam-3028	111	43	is	be	AUX
ejpam-3028	111	44	a	a	DET
ejpam-3028	111	45	supra	supra	ADJ
ejpam-3028	111	46	pre	pre	ADJ
ejpam-3028	111	47	-	-	ADJ
ejpam-3028	111	48	closed	closed	ADJ
ejpam-3028	111	49	soft	soft	ADJ
ejpam-3028	111	50	in	in	ADP
ejpam-3028	111	51	x.	x.	NOUN
ejpam-3028	111	52	we	we	PRON
ejpam-3028	111	53	will	will	AUX
ejpam-3028	111	54	denote	denote	VERB
ejpam-3028	111	55	the	the	DET
ejpam-3028	111	56	family	family	NOUN
ejpam-3028	111	57	of	of	ADP
ejpam-3028	111	58	all	all	DET
ejpam-3028	111	59	supra	supra	PROPN
ejpam-3028	111	60	soft	soft	ADJ
ejpam-3028	111	61	p	p	NOUN
ejpam-3028	111	62	-locally	-locally	ADV
ejpam-3028	111	63	(	(	PUNCT
ejpam-3028	111	64	resp	resp	NOUN
ejpam-3028	111	65	.	.	PUNCT
ejpam-3028	112	1	p	p	NOUN
ejpam-3028	113	1	∗-locally	∗-locally	ADV
ejpam-3028	113	2	and	and	CCONJ
ejpam-3028	113	3	p	p	X
ejpam-3028	113	4	∗∗-locally	∗∗-locally	ADV
ejpam-3028	113	5	)	)	PUNCT
ejpam-3028	113	6	closed	close	VERB
ejpam-3028	113	7	sets	set	NOUN
ejpam-3028	113	8	of	of	ADP
ejpam-3028	113	9	a	a	DET
ejpam-3028	113	10	supra	supra	ADJ
ejpam-3028	113	11	soft	soft	ADJ
ejpam-3028	113	12	topological	topological	ADJ
ejpam-3028	113	13	space	space	NOUN
ejpam-3028	113	14	x	x	PUNCT
ejpam-3028	113	15	by	by	ADP
ejpam-3028	113	16	supra	supra	NOUN
ejpam-3028	113	17	-	-	PUNCT
ejpam-3028	113	18	splc(x	splc(x	NOUN
ejpam-3028	113	19	)	)	PUNCT
ejpam-3028	113	20	(	(	PUNCT
ejpam-3028	113	21	resp	resp	NOUN
ejpam-3028	113	22	.	.	PUNCT
ejpam-3028	114	1	supra	supra	PROPN
ejpam-3028	114	2	-	-	PUNCT
ejpam-3028	114	3	sp	sp	NOUN
ejpam-3028	114	4	∗lc(x	∗lc(x	NOUN
ejpam-3028	114	5	)	)	PUNCT
ejpam-3028	114	6	and	and	CCONJ
ejpam-3028	114	7	supra	supra	NOUN
ejpam-3028	114	8	-	-	PUNCT
ejpam-3028	114	9	sp	sp	NOUN
ejpam-3028	114	10	∗∗lc(x	∗∗lc(x	NOUN
ejpam-3028	114	11	)	)	PUNCT
ejpam-3028	114	12	)	)	PUNCT
ejpam-3028	114	13	remark	remark	NOUN
ejpam-3028	114	14	1	1	NUM
ejpam-3028	114	15	.	.	PUNCT
ejpam-3028	114	16	a	a	DET
ejpam-3028	114	17	soft	soft	ADJ
ejpam-3028	114	18	subset	subset	NOUN
ejpam-3028	114	19	(	(	PUNCT
ejpam-3028	114	20	f	f	X
ejpam-3028	114	21	,	,	PUNCT
ejpam-3028	114	22	e	e	NOUN
ejpam-3028	114	23	)	)	PUNCT
ejpam-3028	114	24	of	of	ADP
ejpam-3028	114	25	(	(	PUNCT
ejpam-3028	114	26	x,µ,e	x,µ,e	PROPN
ejpam-3028	114	27	)	)	PUNCT
ejpam-3028	114	28	is	be	AUX
ejpam-3028	114	29	supra	supra	ADJ
ejpam-3028	114	30	soft	soft	ADJ
ejpam-3028	114	31	p	p	NOUN
ejpam-3028	114	32	-locally	-locally	ADV
ejpam-3028	114	33	(	(	PUNCT
ejpam-3028	114	34	resp	resp	NOUN
ejpam-3028	114	35	.	.	PUNCT
ejpam-3028	115	1	p	p	PUNCT
ejpam-3028	115	2	∗-locally	∗-locally	ADV
ejpam-3028	115	3	,	,	PUNCT
ejpam-3028	115	4	p	p	PRON
ejpam-3028	115	5	∗∗-locally	∗∗-locally	ADV
ejpam-3028	115	6	)	)	PUNCT
ejpam-3028	115	7	closed	close	VERB
ejpam-3028	115	8	if	if	SCONJ
ejpam-3028	115	9	its	its	PRON
ejpam-3028	115	10	relative	relative	ADJ
ejpam-3028	115	11	complement	complement	NOUN
ejpam-3028	115	12	(	(	PUNCT
ejpam-3028	115	13	f	f	X
ejpam-3028	115	14	,	,	PUNCT
ejpam-3028	115	15	e)c	e)c	X
ejpam-3028	115	16	is	be	AUX
ejpam-3028	115	17	the	the	DET
ejpam-3028	115	18	soft	soft	ADJ
ejpam-3028	115	19	union	union	NOUN
ejpam-3028	115	20	of	of	ADP
ejpam-3028	115	21	a	a	DET
ejpam-3028	115	22	pre	pre	ADJ
ejpam-3028	115	23	-	-	ADJ
ejpam-3028	115	24	supra	supra	ADJ
ejpam-3028	115	25	open	open	ADJ
ejpam-3028	115	26	soft	soft	ADJ
ejpam-3028	115	27	set	set	NOUN
ejpam-3028	115	28	and	and	CCONJ
ejpam-3028	115	29	a	a	DET
ejpam-3028	115	30	supra	supra	ADJ
ejpam-3028	115	31	pre	pre	ADJ
ejpam-3028	115	32	-	-	ADJ
ejpam-3028	115	33	closed	closed	ADJ
ejpam-3028	115	34	soft	soft	ADJ
ejpam-3028	115	35	set	set	NOUN
ejpam-3028	115	36	(	(	PUNCT
ejpam-3028	115	37	resp	resp	NOUN
ejpam-3028	115	38	.	.	PUNCT
ejpam-3028	116	1	a	a	DET
ejpam-3028	116	2	supra	supra	ADJ
ejpam-3028	116	3	pre	pre	ADJ
ejpam-3028	116	4	-	-	ADJ
ejpam-3028	116	5	closed	closed	ADJ
ejpam-3028	116	6	soft	soft	ADJ
ejpam-3028	116	7	set	set	NOUN
ejpam-3028	116	8	and	and	CCONJ
ejpam-3028	116	9	a	a	DET
ejpam-3028	116	10	supra	supra	NOUN
ejpam-3028	116	11	open	open	ADJ
ejpam-3028	116	12	soft	soft	ADJ
ejpam-3028	116	13	set	set	NOUN
ejpam-3028	116	14	,	,	PUNCT
ejpam-3028	116	15	a	a	DET
ejpam-3028	116	16	supra	supra	NOUN
ejpam-3028	116	17	closed	close	VERB
ejpam-3028	116	18	soft	soft	ADJ
ejpam-3028	116	19	set	set	NOUN
ejpam-3028	116	20	and	and	CCONJ
ejpam-3028	116	21	a	a	DET
ejpam-3028	116	22	supra	supra	ADJ
ejpam-3028	116	23	pre	pre	ADJ
ejpam-3028	116	24	-	-	ADJ
ejpam-3028	116	25	open	open	ADJ
ejpam-3028	116	26	soft	soft	ADJ
ejpam-3028	116	27	set	set	NOUN
ejpam-3028	116	28	)	)	PUNCT
ejpam-3028	116	29	.	.	PUNCT
ejpam-3028	117	1	in	in	ADP
ejpam-3028	117	2	a	a	DET
ejpam-3028	117	3	supra	supra	ADJ
ejpam-3028	117	4	soft	soft	ADJ
ejpam-3028	117	5	topological	topological	ADJ
ejpam-3028	117	6	space	space	NOUN
ejpam-3028	117	7	(	(	PUNCT
ejpam-3028	117	8	x,µ,e	x,µ,e	PROPN
ejpam-3028	117	9	)	)	PUNCT
ejpam-3028	117	10	,	,	PUNCT
ejpam-3028	117	11	every	every	DET
ejpam-3028	117	12	supra	supra	PROPN
ejpam-3028	117	13	soft	soft	ADJ
ejpam-3028	117	14	p	p	NOUN
ejpam-3028	117	15	∗(resp	∗(resp	PROPN
ejpam-3028	117	16	.	.	PUNCT
ejpam-3028	118	1	p	p	NOUN
ejpam-3028	118	2	∗∗-	∗∗-	NOUN
ejpam-3028	118	3	)	)	PUNCT
ejpam-3028	118	4	locally	locally	ADV
ejpam-3028	118	5	closed	close	VERB
ejpam-3028	118	6	is	be	AUX
ejpam-3028	118	7	a	a	DET
ejpam-3028	118	8	supra	supra	PROPN
ejpam-3028	118	9	soft	soft	ADJ
ejpam-3028	118	10	p	p	NOUN
ejpam-3028	118	11	-locally	-locally	ADV
ejpam-3028	118	12	closed	closed	ADJ
ejpam-3028	118	13	.	.	PUNCT
ejpam-3028	119	1	proof	proof	NOUN
ejpam-3028	119	2	.	.	PUNCT
ejpam-3028	120	1	obvious	obvious	ADJ
ejpam-3028	120	2	from	from	ADP
ejpam-3028	120	3	the	the	DET
ejpam-3028	120	4	fact	fact	NOUN
ejpam-3028	120	5	that	that	SCONJ
ejpam-3028	120	6	,	,	PUNCT
ejpam-3028	120	7	every	every	DET
ejpam-3028	120	8	supra	supra	PROPN
ejpam-3028	120	9	open	open	ADJ
ejpam-3028	120	10	(	(	PUNCT
ejpam-3028	120	11	resp	resp	NOUN
ejpam-3028	120	12	.	.	PUNCT
ejpam-3028	120	13	closed	closed	ADJ
ejpam-3028	120	14	)	)	PUNCT
ejpam-3028	120	15	soft	soft	ADJ
ejpam-3028	120	16	set	set	NOUN
ejpam-3028	120	17	is	be	AUX
ejpam-3028	120	18	a	a	DET
ejpam-3028	120	19	supra	supra	ADJ
ejpam-3028	120	20	pre	pre	ADJ
ejpam-3028	120	21	-	-	ADJ
ejpam-3028	120	22	open	open	ADJ
ejpam-3028	120	23	(	(	PUNCT
ejpam-3028	120	24	resp	resp	NOUN
ejpam-3028	120	25	.	.	PUNCT
ejpam-3028	121	1	pre	pre	ADJ
ejpam-3028	121	2	-	-	ADJ
ejpam-3028	121	3	closed	closed	ADJ
ejpam-3028	121	4	)	)	PUNCT
ejpam-3028	121	5	soft	soft	ADJ
ejpam-3028	121	6	[	[	X
ejpam-3028	121	7	[	[	X
ejpam-3028	121	8	13	13	NUM
ejpam-3028	121	9	]	]	PUNCT
ejpam-3028	121	10	,	,	PUNCT
ejpam-3028	121	11	theorem	theorem	VERB
ejpam-3028	121	12	5.1	5.1	NUM
ejpam-3028	121	13	(	(	PUNCT
ejpam-3028	121	14	1	1	NUM
ejpam-3028	121	15	)	)	PUNCT
ejpam-3028	121	16	]	]	PUNCT
ejpam-3028	121	17	.	.	PUNCT
ejpam-3028	122	1	remark	remark	PROPN
ejpam-3028	122	2	2	2	NUM
ejpam-3028	122	3	.	.	PUNCT
ejpam-3028	123	1	the	the	DET
ejpam-3028	123	2	converse	converse	NOUN
ejpam-3028	123	3	of	of	ADP
ejpam-3028	123	4	the	the	DET
ejpam-3028	123	5	above	above	ADJ
ejpam-3028	123	6	theorem	theorem	NOUN
ejpam-3028	123	7	is	be	AUX
ejpam-3028	123	8	not	not	PART
ejpam-3028	123	9	true	true	ADJ
ejpam-3028	123	10	in	in	ADP
ejpam-3028	123	11	general	general	ADJ
ejpam-3028	123	12	as	as	SCONJ
ejpam-3028	123	13	shall	shall	AUX
ejpam-3028	123	14	shown	show	VERB
ejpam-3028	123	15	in	in	ADP
ejpam-3028	123	16	the	the	DET
ejpam-3028	123	17	following	follow	VERB
ejpam-3028	123	18	example	example	NOUN
ejpam-3028	123	19	.	.	PUNCT
ejpam-3028	124	1	example	example	NOUN
ejpam-3028	125	1	1	1	NUM
ejpam-3028	125	2	.	.	PUNCT
ejpam-3028	126	1	[	[	X
ejpam-3028	126	2	2	2	X
ejpam-3028	126	3	]	]	PUNCT
ejpam-3028	126	4	suppose	suppose	VERB
ejpam-3028	126	5	that	that	SCONJ
ejpam-3028	126	6	there	there	PRON
ejpam-3028	126	7	are	be	VERB
ejpam-3028	126	8	four	four	NUM
ejpam-3028	126	9	houses	house	NOUN
ejpam-3028	126	10	in	in	ADP
ejpam-3028	126	11	the	the	DET
ejpam-3028	126	12	universe	universe	NOUN
ejpam-3028	126	13	x	x	PUNCT
ejpam-3028	126	14	given	give	VERB
ejpam-3028	126	15	by	by	ADP
ejpam-3028	126	16	x	x	X
ejpam-3028	126	17	=	=	X
ejpam-3028	126	18	{	{	PUNCT
ejpam-3028	126	19	a	a	PRON
ejpam-3028	126	20	,	,	PUNCT
ejpam-3028	126	21	b	b	NOUN
ejpam-3028	126	22	,	,	PUNCT
ejpam-3028	126	23	c	c	NOUN
ejpam-3028	126	24	,	,	PUNCT
ejpam-3028	126	25	d	d	NOUN
ejpam-3028	126	26	}	}	PUNCT
ejpam-3028	126	27	.	.	PUNCT
ejpam-3028	127	1	let	let	VERB
ejpam-3028	127	2	e	e	NOUN
ejpam-3028	127	3	=	=	PRON
ejpam-3028	127	4	{	{	PUNCT
ejpam-3028	127	5	e1	e1	PROPN
ejpam-3028	127	6	,	,	PUNCT
ejpam-3028	127	7	e2	e2	PROPN
ejpam-3028	127	8	}	}	PUNCT
ejpam-3028	127	9	be	be	VERB
ejpam-3028	127	10	the	the	DET
ejpam-3028	127	11	set	set	NOUN
ejpam-3028	127	12	of	of	ADP
ejpam-3028	127	13	decision	decision	NOUN
ejpam-3028	127	14	parameters	parameter	NOUN
ejpam-3028	127	15	which	which	PRON
ejpam-3028	127	16	stand	stand	VERB
ejpam-3028	127	17	for	for	ADP
ejpam-3028	127	18	”	"	PUNCT
ejpam-3028	127	19	green	green	ADJ
ejpam-3028	127	20	surroundings	surroundings	PROPN
ejpam-3028	127	21	”	"	PUNCT
ejpam-3028	127	22	and	and	CCONJ
ejpam-3028	127	23	”	"	PUNCT
ejpam-3028	127	24	wooden	wooden	ADJ
ejpam-3028	127	25	”	"	PUNCT
ejpam-3028	127	26	respectively	respectively	ADV
ejpam-3028	127	27	.	.	PUNCT
ejpam-3028	128	1	let	let	VERB
ejpam-3028	128	2	(	(	PUNCT
ejpam-3028	128	3	f1	f1	NOUN
ejpam-3028	128	4	,	,	PUNCT
ejpam-3028	128	5	e	e	NOUN
ejpam-3028	128	6	)	)	PUNCT
ejpam-3028	128	7	,	,	PUNCT
ejpam-3028	128	8	(	(	PUNCT
ejpam-3028	128	9	f2	f2	PROPN
ejpam-3028	128	10	,	,	PUNCT
ejpam-3028	128	11	e	e	NOUN
ejpam-3028	128	12	)	)	PUNCT
ejpam-3028	128	13	,	,	PUNCT
ejpam-3028	128	14	(	(	PUNCT
ejpam-3028	128	15	f3	f3	ADJ
ejpam-3028	128	16	,	,	PUNCT
ejpam-3028	128	17	e	e	NOUN
ejpam-3028	128	18	)	)	PUNCT
ejpam-3028	128	19	,	,	PUNCT
ejpam-3028	128	20	(	(	PUNCT
ejpam-3028	128	21	f4	f4	PROPN
ejpam-3028	128	22	,	,	PUNCT
ejpam-3028	128	23	e	e	NOUN
ejpam-3028	128	24	)	)	PUNCT
ejpam-3028	128	25	,	,	PUNCT
ejpam-3028	128	26	(	(	PUNCT
ejpam-3028	128	27	f5	f5	NOUN
ejpam-3028	128	28	,	,	PUNCT
ejpam-3028	128	29	e	e	NOUN
ejpam-3028	128	30	)	)	PUNCT
ejpam-3028	128	31	be	be	VERB
ejpam-3028	128	32	five	five	NUM
ejpam-3028	128	33	soft	soft	ADJ
ejpam-3028	128	34	sets	set	NOUN
ejpam-3028	128	35	over	over	ADP
ejpam-3028	128	36	the	the	DET
ejpam-3028	128	37	common	common	ADJ
ejpam-3028	128	38	universe	universe	NOUN
ejpam-3028	128	39	x	x	PUNCT
ejpam-3028	128	40	which	which	PRON
ejpam-3028	128	41	describe	describe	VERB
ejpam-3028	128	42	the	the	DET
ejpam-3028	128	43	composition	composition	NOUN
ejpam-3028	128	44	of	of	ADP
ejpam-3028	128	45	the	the	DET
ejpam-3028	128	46	houses	house	NOUN
ejpam-3028	128	47	defined	define	VERB
ejpam-3028	128	48	as	as	SCONJ
ejpam-3028	128	49	follows	follow	VERB
ejpam-3028	128	50	:	:	PUNCT
ejpam-3028	128	51	f1(e1	f1(e1	X
ejpam-3028	128	52	)	)	PUNCT
ejpam-3028	129	1	=	=	PRON
ejpam-3028	129	2	{	{	PUNCT
ejpam-3028	129	3	a	a	X
ejpam-3028	129	4	,	,	PUNCT
ejpam-3028	129	5	c	c	NOUN
ejpam-3028	129	6	}	}	PUNCT
ejpam-3028	129	7	,	,	PUNCT
ejpam-3028	129	8	f1(e2	f1(e2	NOUN
ejpam-3028	129	9	)	)	PUNCT
ejpam-3028	129	10	=	=	PUNCT
ejpam-3028	129	11	{	{	PUNCT
ejpam-3028	129	12	b	b	NOUN
ejpam-3028	129	13	,	,	PUNCT
ejpam-3028	129	14	c	c	NOUN
ejpam-3028	129	15	}	}	PUNCT
ejpam-3028	129	16	,	,	PUNCT
ejpam-3028	129	17	f2(e1	f2(e1	NOUN
ejpam-3028	129	18	)	)	PUNCT
ejpam-3028	129	19	=	=	PUNCT
ejpam-3028	129	20	{	{	PUNCT
ejpam-3028	129	21	b	b	NOUN
ejpam-3028	129	22	,	,	PUNCT
ejpam-3028	129	23	c	c	NOUN
ejpam-3028	129	24	}	}	PUNCT
ejpam-3028	129	25	,	,	PUNCT
ejpam-3028	129	26	f2(e2	f2(e2	NOUN
ejpam-3028	129	27	)	)	PUNCT
ejpam-3028	129	28	=	=	PUNCT
ejpam-3028	129	29	{	{	PUNCT
ejpam-3028	129	30	a	a	X
ejpam-3028	129	31	,	,	PUNCT
ejpam-3028	129	32	c	c	NOUN
ejpam-3028	129	33	}	}	PUNCT
ejpam-3028	129	34	,	,	PUNCT
ejpam-3028	129	35	f3(e1	f3(e1	NOUN
ejpam-3028	129	36	)	)	PUNCT
ejpam-3028	129	37	=	=	PRON
ejpam-3028	129	38	{	{	PUNCT
ejpam-3028	129	39	a	a	PRON
ejpam-3028	129	40	,	,	PUNCT
ejpam-3028	129	41	b	b	NOUN
ejpam-3028	129	42	,	,	PUNCT
ejpam-3028	129	43	c	c	NOUN
ejpam-3028	129	44	}	}	PUNCT
ejpam-3028	129	45	,	,	PUNCT
ejpam-3028	129	46	f3(e2	f3(e2	PROPN
ejpam-3028	129	47	)	)	PUNCT
ejpam-3028	129	48	=	=	PRON
ejpam-3028	129	49	{	{	PUNCT
ejpam-3028	129	50	a	a	DET
ejpam-3028	129	51	,	,	PUNCT
ejpam-3028	129	52	b	b	NOUN
ejpam-3028	129	53	,	,	PUNCT
ejpam-3028	129	54	c	c	NOUN
ejpam-3028	129	55	}	}	PUNCT
ejpam-3028	129	56	,	,	PUNCT
ejpam-3028	129	57	f4(e1	f4(e1	NOUN
ejpam-3028	129	58	)	)	PUNCT
ejpam-3028	129	59	=	=	NOUN
ejpam-3028	129	60	{	{	PUNCT
ejpam-3028	129	61	a	a	PRON
ejpam-3028	129	62	,	,	PUNCT
ejpam-3028	129	63	b	b	NOUN
ejpam-3028	129	64	,	,	PUNCT
ejpam-3028	129	65	d	d	NOUN
ejpam-3028	129	66	}	}	PUNCT
ejpam-3028	129	67	,	,	PUNCT
ejpam-3028	129	68	f4(e2	f4(e2	NUM
ejpam-3028	129	69	)	)	PUNCT
ejpam-3028	129	70	=	=	NOUN
ejpam-3028	129	71	{	{	PUNCT
ejpam-3028	129	72	a	a	PRON
ejpam-3028	129	73	,	,	PUNCT
ejpam-3028	129	74	b	b	NOUN
ejpam-3028	129	75	,	,	PUNCT
ejpam-3028	129	76	d	d	NOUN
ejpam-3028	129	77	}	}	PUNCT
ejpam-3028	129	78	,	,	PUNCT
ejpam-3028	129	79	f5(e1	f5(e1	NOUN
ejpam-3028	129	80	)	)	PUNCT
ejpam-3028	129	81	=	=	PUNCT
ejpam-3028	129	82	{	{	PUNCT
ejpam-3028	129	83	b	b	PROPN
ejpam-3028	129	84	,	,	PUNCT
ejpam-3028	129	85	c	c	NOUN
ejpam-3028	129	86	,	,	PUNCT
ejpam-3028	129	87	d	d	NOUN
ejpam-3028	129	88	}	}	PUNCT
ejpam-3028	129	89	,	,	PUNCT
ejpam-3028	129	90	f5(e2	f5(e2	NOUN
ejpam-3028	129	91	)	)	PUNCT
ejpam-3028	129	92	=	=	PUNCT
ejpam-3028	129	93	{	{	PUNCT
ejpam-3028	129	94	b	b	PROPN
ejpam-3028	129	95	,	,	PUNCT
ejpam-3028	129	96	c	c	NOUN
ejpam-3028	129	97	,	,	PUNCT
ejpam-3028	129	98	d	d	NOUN
ejpam-3028	129	99	}	}	PUNCT
ejpam-3028	129	100	.	.	PUNCT
ejpam-3028	130	1	f.	f.	PROPN
ejpam-3028	130	2	a.	a.	PROPN
ejpam-3028	130	3	gharib	gharib	PROPN
ejpam-3028	130	4	et	et	PROPN
ejpam-3028	130	5	al	al	PROPN
ejpam-3028	130	6	.	.	PUNCT
ejpam-3028	130	7	/	/	SYM
ejpam-3028	130	8	eur	eur	PROPN
ejpam-3028	130	9	.	.	PUNCT
ejpam-3028	131	1	j.	j.	PROPN
ejpam-3028	131	2	pure	pure	PROPN
ejpam-3028	131	3	appl	appl	PROPN
ejpam-3028	131	4	.	.	PROPN
ejpam-3028	131	5	math	math	PROPN
ejpam-3028	131	6	,	,	PUNCT
ejpam-3028	131	7	10	10	NUM
ejpam-3028	131	8	(	(	PUNCT
ejpam-3028	131	9	4	4	NUM
ejpam-3028	131	10	)	)	PUNCT
ejpam-3028	131	11	(	(	PUNCT
ejpam-3028	131	12	2017	2017	NUM
ejpam-3028	131	13	)	)	PUNCT
ejpam-3028	131	14	,	,	PUNCT
ejpam-3028	131	15	835	835	NUM
ejpam-3028	131	16	-	-	SYM
ejpam-3028	131	17	849	849	NUM
ejpam-3028	131	18	840	840	NUM
ejpam-3028	131	19	hence	hence	ADV
ejpam-3028	131	20	,	,	PUNCT
ejpam-3028	131	21	µ	µ	X
ejpam-3028	131	22	=	=	SYM
ejpam-3028	131	23	{	{	PUNCT
ejpam-3028	131	24	x̃	x̃	PROPN
ejpam-3028	131	25	,	,	PUNCT
ejpam-3028	131	26	ϕ̃	ϕ̃	PROPN
ejpam-3028	131	27	,	,	PUNCT
ejpam-3028	131	28	(	(	PUNCT
ejpam-3028	131	29	f1	f1	NOUN
ejpam-3028	131	30	,	,	PUNCT
ejpam-3028	131	31	e	e	NOUN
ejpam-3028	131	32	)	)	PUNCT
ejpam-3028	131	33	,	,	PUNCT
ejpam-3028	131	34	(	(	PUNCT
ejpam-3028	131	35	f2	f2	PROPN
ejpam-3028	131	36	,	,	PUNCT
ejpam-3028	131	37	e	e	NOUN
ejpam-3028	131	38	)	)	PUNCT
ejpam-3028	131	39	,	,	PUNCT
ejpam-3028	131	40	(	(	PUNCT
ejpam-3028	131	41	f3	f3	ADJ
ejpam-3028	131	42	,	,	PUNCT
ejpam-3028	131	43	e	e	NOUN
ejpam-3028	131	44	)	)	PUNCT
ejpam-3028	131	45	,	,	PUNCT
ejpam-3028	131	46	(	(	PUNCT
ejpam-3028	131	47	f4	f4	PROPN
ejpam-3028	131	48	,	,	PUNCT
ejpam-3028	131	49	e	e	NOUN
ejpam-3028	131	50	)	)	PUNCT
ejpam-3028	131	51	,	,	PUNCT
ejpam-3028	131	52	(	(	PUNCT
ejpam-3028	131	53	f5	f5	NOUN
ejpam-3028	131	54	,	,	PUNCT
ejpam-3028	131	55	e	e	NOUN
ejpam-3028	131	56	)	)	PUNCT
ejpam-3028	131	57	}	}	PUNCT
ejpam-3028	131	58	is	be	AUX
ejpam-3028	131	59	a	a	DET
ejpam-3028	131	60	supra	supra	ADJ
ejpam-3028	131	61	soft	soft	ADJ
ejpam-3028	131	62	topology	topology	NOUN
ejpam-3028	131	63	over	over	ADP
ejpam-3028	131	64	x.	x.	NOUN
ejpam-3028	131	65	therefore	therefore	ADV
ejpam-3028	131	66	,	,	PUNCT
ejpam-3028	131	67	the	the	DET
ejpam-3028	131	68	soft	soft	ADJ
ejpam-3028	131	69	set	set	NOUN
ejpam-3028	131	70	(	(	PUNCT
ejpam-3028	131	71	a	a	DET
ejpam-3028	131	72	,	,	PUNCT
ejpam-3028	131	73	e	e	NOUN
ejpam-3028	131	74	)	)	PUNCT
ejpam-3028	131	75	is	be	AUX
ejpam-3028	131	76	supra	supra	ADJ
ejpam-3028	131	77	soft	soft	ADJ
ejpam-3028	131	78	p	p	NOUN
ejpam-3028	131	79	-locally	-locally	ADV
ejpam-3028	131	80	closed	close	VERB
ejpam-3028	131	81	in	in	ADP
ejpam-3028	131	82	(	(	PUNCT
ejpam-3028	131	83	x,µ,e	x,µ,e	PROPN
ejpam-3028	131	84	)	)	PUNCT
ejpam-3028	131	85	,	,	PUNCT
ejpam-3028	131	86	but	but	CCONJ
ejpam-3028	131	87	not	not	PART
ejpam-3028	131	88	supra	supra	NOUN
ejpam-3028	131	89	soft	soft	ADJ
ejpam-3028	131	90	p	p	NOUN
ejpam-3028	131	91	∗-locally	∗-locally	ADV
ejpam-3028	131	92	closed	closed	ADJ
ejpam-3028	131	93	,	,	PUNCT
ejpam-3028	131	94	where	where	SCONJ
ejpam-3028	131	95	a(e1	a(e1	NOUN
ejpam-3028	131	96	)	)	PUNCT
ejpam-3028	132	1	=	=	PUNCT
ejpam-3028	132	2	{	{	PUNCT
ejpam-3028	132	3	b	b	NOUN
ejpam-3028	132	4	}	}	PUNCT
ejpam-3028	132	5	,	,	PUNCT
ejpam-3028	132	6	a(e2	a(e2	NOUN
ejpam-3028	132	7	)	)	PUNCT
ejpam-3028	132	8	=	=	PRON
ejpam-3028	132	9	{	{	PUNCT
ejpam-3028	132	10	a	a	X
ejpam-3028	132	11	}	}	PUNCT
ejpam-3028	132	12	.	.	PUNCT
ejpam-3028	133	1	also	also	ADV
ejpam-3028	133	2	,	,	PUNCT
ejpam-3028	133	3	the	the	DET
ejpam-3028	133	4	soft	soft	ADJ
ejpam-3028	133	5	set	set	NOUN
ejpam-3028	133	6	(	(	PUNCT
ejpam-3028	133	7	b	b	NOUN
ejpam-3028	133	8	,	,	PUNCT
ejpam-3028	133	9	e	e	NOUN
ejpam-3028	133	10	)	)	PUNCT
ejpam-3028	133	11	is	be	AUX
ejpam-3028	133	12	supra	supra	ADJ
ejpam-3028	133	13	soft	soft	ADJ
ejpam-3028	133	14	p	p	NOUN
ejpam-3028	133	15	-locally	-locally	ADV
ejpam-3028	133	16	closed	close	VERB
ejpam-3028	133	17	in	in	ADP
ejpam-3028	133	18	(	(	PUNCT
ejpam-3028	133	19	x,µ,e	x,µ,e	PROPN
ejpam-3028	133	20	)	)	PUNCT
ejpam-3028	133	21	,	,	PUNCT
ejpam-3028	133	22	but	but	CCONJ
ejpam-3028	133	23	not	not	PART
ejpam-3028	133	24	supra	supra	NOUN
ejpam-3028	133	25	soft	soft	ADJ
ejpam-3028	133	26	p	p	NOUN
ejpam-3028	133	27	∗∗locally	∗∗locally	ADV
ejpam-3028	133	28	closed	closed	ADJ
ejpam-3028	133	29	,	,	PUNCT
ejpam-3028	133	30	where	where	SCONJ
ejpam-3028	133	31	b(e1	b(e1	NOUN
ejpam-3028	133	32	)	)	PUNCT
ejpam-3028	133	33	=	=	PRON
ejpam-3028	133	34	{	{	PUNCT
ejpam-3028	133	35	a	a	X
ejpam-3028	133	36	,	,	PUNCT
ejpam-3028	133	37	c	c	NOUN
ejpam-3028	133	38	,	,	PUNCT
ejpam-3028	133	39	d	d	NOUN
ejpam-3028	133	40	}	}	PUNCT
ejpam-3028	133	41	,	,	PUNCT
ejpam-3028	133	42	a(e2	a(e2	NOUN
ejpam-3028	133	43	)	)	PUNCT
ejpam-3028	133	44	=	=	PUNCT
ejpam-3028	133	45	{	{	PUNCT
ejpam-3028	133	46	b	b	PROPN
ejpam-3028	133	47	,	,	PUNCT
ejpam-3028	133	48	c	c	NOUN
ejpam-3028	133	49	,	,	PUNCT
ejpam-3028	133	50	d	d	NOUN
ejpam-3028	133	51	}	}	PUNCT
ejpam-3028	133	52	.	.	PUNCT
ejpam-3028	134	1	in	in	ADP
ejpam-3028	134	2	a	a	DET
ejpam-3028	134	3	supra	supra	ADJ
ejpam-3028	134	4	soft	soft	ADJ
ejpam-3028	134	5	topological	topological	ADJ
ejpam-3028	134	6	space	space	NOUN
ejpam-3028	134	7	(	(	PUNCT
ejpam-3028	134	8	x,µ,e	x,µ,e	PROPN
ejpam-3028	134	9	)	)	PUNCT
ejpam-3028	134	10	,	,	PUNCT
ejpam-3028	134	11	every	every	DET
ejpam-3028	134	12	supra	supra	PROPN
ejpam-3028	134	13	soft	soft	ADJ
ejpam-3028	134	14	α	α	NOUN
ejpam-3028	134	15	-	-	ADJ
ejpam-3028	134	16	locally	locally	ADV
ejpam-3028	134	17	closed	close	VERB
ejpam-3028	134	18	is	be	AUX
ejpam-3028	134	19	a	a	DET
ejpam-3028	134	20	supra	supra	PROPN
ejpam-3028	134	21	soft	soft	ADJ
ejpam-3028	134	22	p	p	NOUN
ejpam-3028	134	23	-locally	-locally	ADV
ejpam-3028	134	24	closed	closed	ADJ
ejpam-3028	134	25	.	.	PUNCT
ejpam-3028	135	1	proof	proof	NOUN
ejpam-3028	135	2	.	.	PUNCT
ejpam-3028	136	1	obvious	obvious	ADJ
ejpam-3028	136	2	from	from	ADP
ejpam-3028	136	3	the	the	DET
ejpam-3028	136	4	fact	fact	NOUN
ejpam-3028	136	5	that	that	SCONJ
ejpam-3028	136	6	,	,	PUNCT
ejpam-3028	136	7	every	every	DET
ejpam-3028	136	8	supra	supra	PROPN
ejpam-3028	136	9	α	α	NOUN
ejpam-3028	136	10	-	-	ADJ
ejpam-3028	136	11	open	open	ADJ
ejpam-3028	136	12	(	(	PUNCT
ejpam-3028	136	13	resp	resp	NOUN
ejpam-3028	136	14	.	.	PUNCT
ejpam-3028	137	1	α	α	X
ejpam-3028	137	2	-	-	PUNCT
ejpam-3028	137	3	closed	closed	ADJ
ejpam-3028	137	4	)	)	PUNCT
ejpam-3028	137	5	soft	soft	ADJ
ejpam-3028	137	6	set	set	NOUN
ejpam-3028	137	7	is	be	AUX
ejpam-3028	137	8	a	a	DET
ejpam-3028	137	9	supra	supra	ADJ
ejpam-3028	137	10	pre	pre	ADJ
ejpam-3028	137	11	-	-	ADJ
ejpam-3028	137	12	open	open	ADJ
ejpam-3028	137	13	(	(	PUNCT
ejpam-3028	137	14	resp	resp	NOUN
ejpam-3028	137	15	.	.	PUNCT
ejpam-3028	138	1	pre	pre	ADJ
ejpam-3028	138	2	-	-	ADJ
ejpam-3028	138	3	closed	closed	ADJ
ejpam-3028	138	4	)	)	PUNCT
ejpam-3028	138	5	soft	soft	ADJ
ejpam-3028	138	6	[	[	X
ejpam-3028	138	7	[	[	X
ejpam-3028	138	8	13	13	NUM
ejpam-3028	138	9	]	]	PUNCT
ejpam-3028	138	10	,	,	PUNCT
ejpam-3028	138	11	theorem	theorem	VERB
ejpam-3028	138	12	5.2	5.2	NUM
ejpam-3028	138	13	.	.	PUNCT
ejpam-3028	139	1	(	(	PUNCT
ejpam-3028	139	2	4	4	NUM
ejpam-3028	139	3	)	)	PUNCT
ejpam-3028	139	4	]	]	PUNCT
ejpam-3028	139	5	remark	remark	NOUN
ejpam-3028	139	6	3	3	NUM
ejpam-3028	139	7	.	.	PUNCT
ejpam-3028	140	1	the	the	DET
ejpam-3028	140	2	converse	converse	NOUN
ejpam-3028	140	3	of	of	ADP
ejpam-3028	140	4	the	the	DET
ejpam-3028	140	5	above	above	ADJ
ejpam-3028	140	6	theorem	theorem	NOUN
ejpam-3028	140	7	is	be	AUX
ejpam-3028	140	8	not	not	PART
ejpam-3028	140	9	true	true	ADJ
ejpam-3028	140	10	in	in	ADP
ejpam-3028	140	11	general	general	ADJ
ejpam-3028	140	12	as	as	SCONJ
ejpam-3028	140	13	shall	shall	AUX
ejpam-3028	140	14	shown	show	VERB
ejpam-3028	140	15	in	in	ADP
ejpam-3028	140	16	the	the	DET
ejpam-3028	140	17	following	follow	VERB
ejpam-3028	140	18	example	example	NOUN
ejpam-3028	140	19	.	.	PUNCT
ejpam-3028	141	1	example	example	NOUN
ejpam-3028	142	1	2	2	NUM
ejpam-3028	142	2	.	.	X
ejpam-3028	143	1	in	in	ADP
ejpam-3028	143	2	example	example	NOUN
ejpam-3028	143	3	1	1	NUM
ejpam-3028	143	4	,	,	PUNCT
ejpam-3028	143	5	the	the	DET
ejpam-3028	143	6	soft	soft	ADJ
ejpam-3028	143	7	set	set	NOUN
ejpam-3028	143	8	(	(	PUNCT
ejpam-3028	143	9	z	z	NOUN
ejpam-3028	143	10	,	,	PUNCT
ejpam-3028	143	11	e	e	NOUN
ejpam-3028	143	12	)	)	PUNCT
ejpam-3028	143	13	is	be	AUX
ejpam-3028	143	14	supra	supra	ADJ
ejpam-3028	143	15	soft	soft	ADJ
ejpam-3028	143	16	p	p	NOUN
ejpam-3028	143	17	-locally	-locally	ADV
ejpam-3028	143	18	closed	close	VERB
ejpam-3028	143	19	in	in	ADP
ejpam-3028	143	20	(	(	PUNCT
ejpam-3028	143	21	x,µ,e	x,µ,e	PROPN
ejpam-3028	143	22	)	)	PUNCT
ejpam-3028	143	23	,	,	PUNCT
ejpam-3028	143	24	but	but	CCONJ
ejpam-3028	143	25	not	not	PART
ejpam-3028	143	26	supra	supra	NOUN
ejpam-3028	143	27	soft	soft	ADJ
ejpam-3028	143	28	α	α	NOUN
ejpam-3028	143	29	-	-	ADJ
ejpam-3028	143	30	locally	locally	ADV
ejpam-3028	143	31	closed	close	VERB
ejpam-3028	143	32	,	,	PUNCT
ejpam-3028	143	33	where	where	SCONJ
ejpam-3028	143	34	z(e1	z(e1	NOUN
ejpam-3028	143	35	)	)	PUNCT
ejpam-3028	144	1	=	=	PRON
ejpam-3028	144	2	{	{	PUNCT
ejpam-3028	144	3	a	a	PRON
ejpam-3028	144	4	,	,	PUNCT
ejpam-3028	144	5	b	b	NOUN
ejpam-3028	144	6	}	}	PUNCT
ejpam-3028	144	7	,	,	PUNCT
ejpam-3028	144	8	z(e2	z(e2	PROPN
ejpam-3028	144	9	)	)	PUNCT
ejpam-3028	145	1	=	=	PRON
ejpam-3028	145	2	{	{	PUNCT
ejpam-3028	145	3	a	a	X
ejpam-3028	145	4	,	,	PUNCT
ejpam-3028	145	5	d	d	NOUN
ejpam-3028	145	6	}	}	PUNCT
ejpam-3028	145	7	.	.	PUNCT
ejpam-3028	146	1	in	in	ADP
ejpam-3028	146	2	a	a	DET
ejpam-3028	146	3	supra	supra	ADJ
ejpam-3028	146	4	soft	soft	ADJ
ejpam-3028	146	5	topological	topological	ADJ
ejpam-3028	146	6	space	space	NOUN
ejpam-3028	146	7	(	(	PUNCT
ejpam-3028	146	8	x,µ,e	x,µ,e	PROPN
ejpam-3028	146	9	)	)	PUNCT
ejpam-3028	146	10	,	,	PUNCT
ejpam-3028	146	11	every	every	DET
ejpam-3028	146	12	supra	supra	PROPN
ejpam-3028	146	13	soft	soft	ADJ
ejpam-3028	146	14	locally	locally	ADV
ejpam-3028	146	15	closed	close	VERB
ejpam-3028	146	16	is	be	AUX
ejpam-3028	146	17	a	a	DET
ejpam-3028	146	18	supra	supra	ADJ
ejpam-3028	146	19	soft	soft	ADJ
ejpam-3028	146	20	p	p	X
ejpam-3028	146	21	(	(	PUNCT
ejpam-3028	146	22	resp	resp	NOUN
ejpam-3028	146	23	.	.	PUNCT
ejpam-3028	147	1	p	p	X
ejpam-3028	147	2	∗and	∗and	PROPN
ejpam-3028	147	3	p	p	NOUN
ejpam-3028	147	4	∗∗-	∗∗-	NOUN
ejpam-3028	147	5	)	)	PUNCT
ejpam-3028	147	6	locally	locally	ADV
ejpam-3028	147	7	closed	close	VERB
ejpam-3028	147	8	.	.	PUNCT
ejpam-3028	148	1	proof	proof	NOUN
ejpam-3028	148	2	.	.	PUNCT
ejpam-3028	149	1	obvious	obvious	ADJ
ejpam-3028	149	2	from	from	ADP
ejpam-3028	149	3	[	[	X
ejpam-3028	149	4	[	[	X
ejpam-3028	149	5	13	13	NUM
ejpam-3028	149	6	]	]	PUNCT
ejpam-3028	149	7	,	,	PUNCT
ejpam-3028	149	8	theorem	theorem	VERB
ejpam-3028	149	9	5.1	5.1	NUM
ejpam-3028	149	10	(	(	PUNCT
ejpam-3028	149	11	1	1	NUM
ejpam-3028	149	12	)	)	PUNCT
ejpam-3028	149	13	]	]	PUNCT
ejpam-3028	149	14	.	.	PUNCT
ejpam-3028	150	1	remark	remark	PROPN
ejpam-3028	150	2	4	4	NUM
ejpam-3028	150	3	.	.	PUNCT
ejpam-3028	151	1	the	the	DET
ejpam-3028	151	2	converse	converse	NOUN
ejpam-3028	151	3	theorem	theorem	VERB
ejpam-3028	151	4	3	3	NUM
ejpam-3028	151	5	is	be	AUX
ejpam-3028	151	6	not	not	PART
ejpam-3028	151	7	true	true	ADJ
ejpam-3028	151	8	in	in	ADP
ejpam-3028	151	9	general	general	ADJ
ejpam-3028	151	10	as	as	SCONJ
ejpam-3028	151	11	shall	shall	AUX
ejpam-3028	151	12	shown	show	VERB
ejpam-3028	151	13	in	in	ADP
ejpam-3028	151	14	the	the	DET
ejpam-3028	151	15	following	follow	VERB
ejpam-3028	151	16	examples	example	NOUN
ejpam-3028	151	17	.	.	PUNCT
ejpam-3028	152	1	(	(	PUNCT
ejpam-3028	152	2	1	1	X
ejpam-3028	152	3	)	)	PUNCT
ejpam-3028	152	4	in	in	ADP
ejpam-3028	152	5	example	example	NOUN
ejpam-3028	152	6	1	1	NUM
ejpam-3028	152	7	,	,	PUNCT
ejpam-3028	152	8	the	the	DET
ejpam-3028	152	9	soft	soft	ADJ
ejpam-3028	152	10	set	set	NOUN
ejpam-3028	152	11	(	(	PUNCT
ejpam-3028	152	12	g	g	NOUN
ejpam-3028	152	13	,	,	PUNCT
ejpam-3028	152	14	e	e	NOUN
ejpam-3028	152	15	)	)	PUNCT
ejpam-3028	152	16	is	be	AUX
ejpam-3028	152	17	a	a	DET
ejpam-3028	152	18	supra	supra	PROPN
ejpam-3028	152	19	soft	soft	ADJ
ejpam-3028	152	20	p	p	NOUN
ejpam-3028	152	21	-locally	-locally	ADV
ejpam-3028	152	22	closed	close	VERB
ejpam-3028	152	23	in	in	ADP
ejpam-3028	152	24	(	(	PUNCT
ejpam-3028	152	25	x,µ,e	x,µ,e	PROPN
ejpam-3028	152	26	)	)	PUNCT
ejpam-3028	152	27	,	,	PUNCT
ejpam-3028	152	28	but	but	CCONJ
ejpam-3028	152	29	not	not	PART
ejpam-3028	152	30	supra	supra	NOUN
ejpam-3028	152	31	soft	soft	ADJ
ejpam-3028	152	32	locally	locally	ADV
ejpam-3028	152	33	closed	close	VERB
ejpam-3028	152	34	,	,	PUNCT
ejpam-3028	152	35	where	where	SCONJ
ejpam-3028	152	36	g(e1	g(e1	NOUN
ejpam-3028	152	37	)	)	PUNCT
ejpam-3028	153	1	=	=	PRON
ejpam-3028	153	2	{	{	PUNCT
ejpam-3028	153	3	a	a	X
ejpam-3028	153	4	,	,	PUNCT
ejpam-3028	153	5	c	c	NOUN
ejpam-3028	153	6	,	,	PUNCT
ejpam-3028	153	7	d	d	NOUN
ejpam-3028	153	8	}	}	PUNCT
ejpam-3028	153	9	,	,	PUNCT
ejpam-3028	153	10	g(e2	g(e2	NOUN
ejpam-3028	153	11	)	)	PUNCT
ejpam-3028	153	12	=	=	SYM
ejpam-3028	153	13	{	{	PUNCT
ejpam-3028	153	14	b	b	PROPN
ejpam-3028	153	15	,	,	PUNCT
ejpam-3028	153	16	c	c	NOUN
ejpam-3028	153	17	,	,	PUNCT
ejpam-3028	153	18	d	d	NOUN
ejpam-3028	153	19	}	}	PUNCT
ejpam-3028	153	20	.	.	PUNCT
ejpam-3028	154	1	(	(	PUNCT
ejpam-3028	154	2	2	2	X
ejpam-3028	154	3	)	)	PUNCT
ejpam-3028	154	4	in	in	ADP
ejpam-3028	154	5	example	example	NOUN
ejpam-3028	154	6	1	1	NUM
ejpam-3028	154	7	,	,	PUNCT
ejpam-3028	154	8	the	the	DET
ejpam-3028	154	9	soft	soft	ADJ
ejpam-3028	154	10	set	set	NOUN
ejpam-3028	154	11	(	(	PUNCT
ejpam-3028	154	12	h	h	NOUN
ejpam-3028	154	13	,	,	PUNCT
ejpam-3028	154	14	e	e	NOUN
ejpam-3028	154	15	)	)	PUNCT
ejpam-3028	154	16	is	be	AUX
ejpam-3028	154	17	a	a	DET
ejpam-3028	154	18	supra	supra	PROPN
ejpam-3028	154	19	soft	soft	ADJ
ejpam-3028	154	20	p	p	NOUN
ejpam-3028	154	21	∗-locally	∗-locally	ADV
ejpam-3028	154	22	closed	close	VERB
ejpam-3028	154	23	in	in	ADP
ejpam-3028	154	24	(	(	PUNCT
ejpam-3028	154	25	x,µ,e	x,µ,e	PROPN
ejpam-3028	154	26	)	)	PUNCT
ejpam-3028	154	27	,	,	PUNCT
ejpam-3028	154	28	but	but	CCONJ
ejpam-3028	154	29	not	not	PART
ejpam-3028	154	30	supra	supra	NOUN
ejpam-3028	154	31	soft	soft	ADJ
ejpam-3028	154	32	locally	locally	ADV
ejpam-3028	154	33	closed	close	VERB
ejpam-3028	154	34	,	,	PUNCT
ejpam-3028	154	35	where	where	SCONJ
ejpam-3028	154	36	h(e1	h(e1	NOUN
ejpam-3028	154	37	)	)	PUNCT
ejpam-3028	154	38	=	=	PRON
ejpam-3028	154	39	{	{	PUNCT
ejpam-3028	154	40	a	a	NOUN
ejpam-3028	154	41	}	}	PUNCT
ejpam-3028	154	42	,	,	PUNCT
ejpam-3028	154	43	h(e2	h(e2	PROPN
ejpam-3028	154	44	)	)	PUNCT
ejpam-3028	155	1	=	=	PRON
ejpam-3028	155	2	{	{	PUNCT
ejpam-3028	156	1	d	d	NOUN
ejpam-3028	156	2	}	}	PUNCT
ejpam-3028	156	3	.	.	PUNCT
ejpam-3028	157	1	(	(	PUNCT
ejpam-3028	157	2	3	3	X
ejpam-3028	157	3	)	)	PUNCT
ejpam-3028	157	4	in	in	ADP
ejpam-3028	157	5	example	example	NOUN
ejpam-3028	157	6	1	1	NUM
ejpam-3028	157	7	,	,	PUNCT
ejpam-3028	157	8	the	the	DET
ejpam-3028	157	9	soft	soft	ADJ
ejpam-3028	157	10	set	set	NOUN
ejpam-3028	157	11	(	(	PUNCT
ejpam-3028	157	12	k	k	X
ejpam-3028	157	13	,	,	PUNCT
ejpam-3028	157	14	e	e	NOUN
ejpam-3028	157	15	)	)	PUNCT
ejpam-3028	157	16	is	be	AUX
ejpam-3028	157	17	a	a	DET
ejpam-3028	157	18	supra	supra	PROPN
ejpam-3028	157	19	soft	soft	ADJ
ejpam-3028	157	20	p	p	X
ejpam-3028	157	21	∗∗-locally	∗∗-locally	ADV
ejpam-3028	157	22	closed	close	VERB
ejpam-3028	157	23	in	in	ADP
ejpam-3028	157	24	(	(	PUNCT
ejpam-3028	157	25	x,µ,e	x,µ,e	PROPN
ejpam-3028	157	26	)	)	PUNCT
ejpam-3028	157	27	,	,	PUNCT
ejpam-3028	157	28	but	but	CCONJ
ejpam-3028	157	29	not	not	PART
ejpam-3028	157	30	supra	supra	NOUN
ejpam-3028	157	31	soft	soft	ADJ
ejpam-3028	157	32	locally	locally	ADV
ejpam-3028	157	33	closed	close	VERB
ejpam-3028	157	34	,	,	PUNCT
ejpam-3028	157	35	where	where	SCONJ
ejpam-3028	157	36	k(e1	k(e1	ADJ
ejpam-3028	157	37	)	)	PUNCT
ejpam-3028	158	1	=	=	PRON
ejpam-3028	158	2	{	{	PUNCT
ejpam-3028	158	3	a	a	NOUN
ejpam-3028	158	4	}	}	PUNCT
ejpam-3028	158	5	,	,	PUNCT
ejpam-3028	158	6	k(e2	k(e2	PROPN
ejpam-3028	158	7	)	)	PUNCT
ejpam-3028	158	8	=	=	PUNCT
ejpam-3028	158	9	{	{	PUNCT
ejpam-3028	158	10	b	b	NOUN
ejpam-3028	158	11	,	,	PUNCT
ejpam-3028	158	12	c	c	NOUN
ejpam-3028	158	13	}	}	PUNCT
ejpam-3028	158	14	.	.	PUNCT
ejpam-3028	159	1	let	let	AUX
ejpam-3028	159	2	(	(	PUNCT
ejpam-3028	159	3	x,µ,e	x,µ,e	PROPN
ejpam-3028	159	4	)	)	PUNCT
ejpam-3028	159	5	be	be	VERB
ejpam-3028	159	6	a	a	DET
ejpam-3028	159	7	supra	supra	ADJ
ejpam-3028	159	8	soft	soft	ADJ
ejpam-3028	159	9	topological	topological	ADJ
ejpam-3028	159	10	space	space	NOUN
ejpam-3028	159	11	.	.	PUNCT
ejpam-3028	160	1	then	then	ADV
ejpam-3028	160	2	,	,	PUNCT
ejpam-3028	160	3	(	(	PUNCT
ejpam-3028	160	4	f	f	X
ejpam-3028	160	5	,	,	PUNCT
ejpam-3028	160	6	e	e	NOUN
ejpam-3028	160	7	)	)	PUNCT
ejpam-3028	160	8	is	be	AUX
ejpam-3028	160	9	supra	supra	ADJ
ejpam-3028	160	10	soft	soft	ADJ
ejpam-3028	160	11	p	p	NOUN
ejpam-3028	160	12	-locally	-locally	ADV
ejpam-3028	160	13	closed	close	VERB
ejpam-3028	160	14	if	if	SCONJ
ejpam-3028	160	15	and	and	CCONJ
ejpam-3028	160	16	only	only	ADV
ejpam-3028	160	17	if	if	SCONJ
ejpam-3028	160	18	(	(	PUNCT
ejpam-3028	160	19	f	f	X
ejpam-3028	160	20	,	,	PUNCT
ejpam-3028	160	21	e	e	NOUN
ejpam-3028	160	22	)	)	PUNCT
ejpam-3028	160	23	=	=	SYM
ejpam-3028	160	24	(	(	PUNCT
ejpam-3028	160	25	g	g	NOUN
ejpam-3028	160	26	,	,	PUNCT
ejpam-3028	160	27	e)∩̃clsp	e)∩̃clsp	PUNCT
ejpam-3028	160	28	(	(	PUNCT
ejpam-3028	160	29	f	f	X
ejpam-3028	160	30	,	,	PUNCT
ejpam-3028	160	31	e	e	NOUN
ejpam-3028	160	32	)	)	PUNCT
ejpam-3028	160	33	for	for	ADP
ejpam-3028	160	34	some	some	DET
ejpam-3028	160	35	supra	supra	ADJ
ejpam-3028	160	36	pre	pre	ADJ
ejpam-3028	160	37	-	-	ADJ
ejpam-3028	160	38	open	open	ADJ
ejpam-3028	160	39	soft	soft	ADJ
ejpam-3028	160	40	set	set	NOUN
ejpam-3028	160	41	(	(	PUNCT
ejpam-3028	160	42	g	g	NOUN
ejpam-3028	160	43	,	,	PUNCT
ejpam-3028	160	44	e	e	NOUN
ejpam-3028	160	45	)	)	PUNCT
ejpam-3028	160	46	.	.	PUNCT
ejpam-3028	161	1	proof	proof	NOUN
ejpam-3028	161	2	.	.	PUNCT
ejpam-3028	162	1	necessity	necessity	NOUN
ejpam-3028	162	2	:	:	PUNCT
ejpam-3028	162	3	let	let	VERB
ejpam-3028	162	4	(	(	PUNCT
ejpam-3028	162	5	f	f	X
ejpam-3028	162	6	,	,	PUNCT
ejpam-3028	162	7	e	e	NOUN
ejpam-3028	162	8	)	)	PUNCT
ejpam-3028	162	9	be	be	AUX
ejpam-3028	162	10	a	a	DET
ejpam-3028	162	11	supra	supra	PROPN
ejpam-3028	162	12	soft	soft	ADJ
ejpam-3028	162	13	p	p	NOUN
ejpam-3028	162	14	-locally	-locally	ADV
ejpam-3028	162	15	closed	close	VERB
ejpam-3028	162	16	set	set	VERB
ejpam-3028	162	17	in	in	ADP
ejpam-3028	162	18	x.	x.	NOUN
ejpam-3028	162	19	then	then	ADV
ejpam-3028	162	20	,	,	PUNCT
ejpam-3028	162	21	(	(	PUNCT
ejpam-3028	162	22	f	f	X
ejpam-3028	162	23	,	,	PUNCT
ejpam-3028	162	24	e	e	NOUN
ejpam-3028	162	25	)	)	PUNCT
ejpam-3028	162	26	=	=	SYM
ejpam-3028	162	27	(	(	PUNCT
ejpam-3028	162	28	g	g	NOUN
ejpam-3028	162	29	,	,	PUNCT
ejpam-3028	162	30	e)∩̃(h	e)∩̃(h	PROPN
ejpam-3028	162	31	,	,	PUNCT
ejpam-3028	162	32	e	e	NOUN
ejpam-3028	162	33	)	)	PUNCT
ejpam-3028	162	34	where	where	SCONJ
ejpam-3028	162	35	(	(	PUNCT
ejpam-3028	162	36	g	g	NOUN
ejpam-3028	162	37	,	,	PUNCT
ejpam-3028	162	38	e	e	NOUN
ejpam-3028	162	39	)	)	PUNCT
ejpam-3028	162	40	is	be	AUX
ejpam-3028	162	41	supra	supra	ADJ
ejpam-3028	162	42	pre	pre	ADJ
ejpam-3028	162	43	-	-	ADJ
ejpam-3028	162	44	open	open	ADJ
ejpam-3028	162	45	soft	soft	ADJ
ejpam-3028	162	46	and	and	CCONJ
ejpam-3028	162	47	(	(	PUNCT
ejpam-3028	162	48	h	h	NOUN
ejpam-3028	162	49	,	,	PUNCT
ejpam-3028	162	50	e	e	NOUN
ejpam-3028	162	51	)	)	PUNCT
ejpam-3028	162	52	is	be	AUX
ejpam-3028	162	53	supra	supra	ADJ
ejpam-3028	162	54	pre	pre	ADJ
ejpam-3028	162	55	-	-	ADJ
ejpam-3028	162	56	closed	closed	ADJ
ejpam-3028	162	57	soft	soft	ADJ
ejpam-3028	162	58	in	in	ADP
ejpam-3028	162	59	x.	x.	NOUN
ejpam-3028	162	60	it	it	PRON
ejpam-3028	162	61	follows	follow	VERB
ejpam-3028	162	62	,	,	PUNCT
ejpam-3028	162	63	clsp	clsp	ADJ
ejpam-3028	162	64	(	(	PUNCT
ejpam-3028	162	65	f	f	X
ejpam-3028	162	66	,	,	PUNCT
ejpam-3028	162	67	e)⊂̃clsp	e)⊂̃clsp	PROPN
ejpam-3028	162	68	(	(	PUNCT
ejpam-3028	162	69	h	h	NOUN
ejpam-3028	162	70	,	,	PUNCT
ejpam-3028	162	71	e	e	NOUN
ejpam-3028	162	72	)	)	PUNCT
ejpam-3028	162	73	=	=	SYM
ejpam-3028	162	74	(	(	PUNCT
ejpam-3028	162	75	h	h	NOUN
ejpam-3028	162	76	,	,	PUNCT
ejpam-3028	162	77	e	e	NOUN
ejpam-3028	162	78	)	)	PUNCT
ejpam-3028	162	79	,	,	PUNCT
ejpam-3028	162	80	where	where	SCONJ
ejpam-3028	162	81	clsp	clsp	ADJ
ejpam-3028	162	82	(	(	PUNCT
ejpam-3028	162	83	f	f	PROPN
ejpam-3028	162	84	,	,	PUNCT
ejpam-3028	162	85	e	e	NOUN
ejpam-3028	162	86	)	)	PUNCT
ejpam-3028	162	87	is	be	AUX
ejpam-3028	162	88	a	a	DET
ejpam-3028	162	89	supra	supra	ADJ
ejpam-3028	162	90	pre	pre	ADJ
ejpam-3028	162	91	-	-	ADJ
ejpam-3028	162	92	closed	closed	ADJ
ejpam-3028	162	93	soft	soft	ADJ
ejpam-3028	162	94	set	set	NOUN
ejpam-3028	162	95	.	.	PUNCT
ejpam-3028	163	1	therefore	therefore	ADV
ejpam-3028	163	2	,	,	PUNCT
ejpam-3028	163	3	(	(	PUNCT
ejpam-3028	163	4	f	f	X
ejpam-3028	163	5	,	,	PUNCT
ejpam-3028	163	6	e)⊆̃(g	e)⊆̃(g	PROPN
ejpam-3028	163	7	,	,	PUNCT
ejpam-3028	163	8	e)∩̃clsp	e)∩̃clsp	PUNCT
ejpam-3028	163	9	(	(	PUNCT
ejpam-3028	163	10	f	f	X
ejpam-3028	163	11	,	,	PUNCT
ejpam-3028	163	12	e)⊆̃(g	e)⊆̃(g	PROPN
ejpam-3028	163	13	,	,	PUNCT
ejpam-3028	163	14	e)∩̃(h	e)∩̃(h	PROPN
ejpam-3028	163	15	,	,	PUNCT
ejpam-3028	163	16	e	e	NOUN
ejpam-3028	163	17	)	)	PUNCT
ejpam-3028	163	18	=	=	SYM
ejpam-3028	163	19	(	(	PUNCT
ejpam-3028	163	20	f	f	X
ejpam-3028	163	21	,	,	PUNCT
ejpam-3028	163	22	e	e	NOUN
ejpam-3028	163	23	)	)	PUNCT
ejpam-3028	163	24	.	.	PUNCT
ejpam-3028	164	1	thus	thus	ADV
ejpam-3028	164	2	,	,	PUNCT
ejpam-3028	164	3	(	(	PUNCT
ejpam-3028	164	4	f	f	X
ejpam-3028	164	5	,	,	PUNCT
ejpam-3028	164	6	e	e	NOUN
ejpam-3028	164	7	)	)	PUNCT
ejpam-3028	164	8	=	=	SYM
ejpam-3028	164	9	(	(	PUNCT
ejpam-3028	164	10	g	g	NOUN
ejpam-3028	164	11	,	,	PUNCT
ejpam-3028	164	12	e)∩̃clsp	e)∩̃clsp	PUNCT
ejpam-3028	164	13	(	(	PUNCT
ejpam-3028	164	14	f	f	X
ejpam-3028	164	15	,	,	PUNCT
ejpam-3028	164	16	e	e	NOUN
ejpam-3028	164	17	)	)	PUNCT
ejpam-3028	164	18	.	.	PUNCT
ejpam-3028	165	1	sufficient	sufficient	ADJ
ejpam-3028	165	2	:	:	PUNCT
ejpam-3028	165	3	follows	follow	VERB
ejpam-3028	165	4	directly	directly	ADV
ejpam-3028	165	5	from	from	ADP
ejpam-3028	165	6	definition	definition	NOUN
ejpam-3028	165	7	15	15	NUM
ejpam-3028	165	8	(	(	PUNCT
ejpam-3028	165	9	1	1	NUM
ejpam-3028	165	10	)	)	PUNCT
ejpam-3028	165	11	.	.	PUNCT
ejpam-3028	166	1	let	let	VERB
ejpam-3028	166	2	(	(	PUNCT
ejpam-3028	166	3	f	f	X
ejpam-3028	166	4	,	,	PUNCT
ejpam-3028	166	5	e	e	NOUN
ejpam-3028	166	6	)	)	PUNCT
ejpam-3028	166	7	be	be	AUX
ejpam-3028	166	8	a	a	DET
ejpam-3028	166	9	subset	subset	NOUN
ejpam-3028	166	10	of	of	ADP
ejpam-3028	166	11	a	a	DET
ejpam-3028	166	12	supra	supra	PROPN
ejpam-3028	166	13	soft	soft	ADJ
ejpam-3028	166	14	topological	topological	ADJ
ejpam-3028	166	15	space	space	NOUN
ejpam-3028	166	16	(	(	PUNCT
ejpam-3028	166	17	x,µ,e	x,µ,e	PROPN
ejpam-3028	166	18	)	)	PUNCT
ejpam-3028	166	19	.	.	PUNCT
ejpam-3028	167	1	then	then	ADV
ejpam-3028	167	2	,	,	PUNCT
ejpam-3028	167	3	the	the	DET
ejpam-3028	167	4	following	follow	VERB
ejpam-3028	167	5	are	be	AUX
ejpam-3028	167	6	equivalent	equivalent	ADJ
ejpam-3028	167	7	:	:	PUNCT
ejpam-3028	167	8	f.	f.	PROPN
ejpam-3028	167	9	a.	a.	PROPN
ejpam-3028	167	10	gharib	gharib	PROPN
ejpam-3028	168	1	et	et	PROPN
ejpam-3028	168	2	al	al	PROPN
ejpam-3028	168	3	.	.	PUNCT
ejpam-3028	168	4	/	/	SYM
ejpam-3028	168	5	eur	eur	PROPN
ejpam-3028	168	6	.	.	PUNCT
ejpam-3028	169	1	j.	j.	PROPN
ejpam-3028	169	2	pure	pure	PROPN
ejpam-3028	169	3	appl	appl	PROPN
ejpam-3028	169	4	.	.	PROPN
ejpam-3028	169	5	math	math	PROPN
ejpam-3028	169	6	,	,	PUNCT
ejpam-3028	169	7	10	10	NUM
ejpam-3028	169	8	(	(	PUNCT
ejpam-3028	169	9	4	4	NUM
ejpam-3028	169	10	)	)	PUNCT
ejpam-3028	169	11	(	(	PUNCT
ejpam-3028	169	12	2017	2017	NUM
ejpam-3028	169	13	)	)	PUNCT
ejpam-3028	169	14	,	,	PUNCT
ejpam-3028	169	15	835	835	NUM
ejpam-3028	169	16	-	-	SYM
ejpam-3028	169	17	849	849	NUM
ejpam-3028	169	18	841	841	NUM
ejpam-3028	169	19	(	(	PUNCT
ejpam-3028	169	20	i	i	NOUN
ejpam-3028	169	21	)	)	PUNCT
ejpam-3028	169	22	(	(	PUNCT
ejpam-3028	169	23	f	f	X
ejpam-3028	169	24	,	,	PUNCT
ejpam-3028	169	25	e	e	NOUN
ejpam-3028	169	26	)	)	PUNCT
ejpam-3028	169	27	∈	∈	PROPN
ejpam-3028	169	28	supra	supra	NOUN
ejpam-3028	169	29	-	-	PUNCT
ejpam-3028	169	30	splc(x	splc(x	NOUN
ejpam-3028	169	31	)	)	PUNCT
ejpam-3028	169	32	.	.	PUNCT
ejpam-3028	170	1	(	(	PUNCT
ejpam-3028	170	2	ii	ii	NOUN
ejpam-3028	170	3	)	)	PUNCT
ejpam-3028	170	4	clsp	clsp	NOUN
ejpam-3028	170	5	(	(	PUNCT
ejpam-3028	170	6	f	f	X
ejpam-3028	170	7	,	,	PUNCT
ejpam-3028	170	8	e)−	e)−	PROPN
ejpam-3028	170	9	(	(	PUNCT
ejpam-3028	170	10	f	f	X
ejpam-3028	170	11	,	,	PUNCT
ejpam-3028	170	12	e	e	NOUN
ejpam-3028	170	13	)	)	PUNCT
ejpam-3028	170	14	is	be	AUX
ejpam-3028	170	15	supra	supra	ADJ
ejpam-3028	170	16	pre	pre	ADJ
ejpam-3028	170	17	-	-	ADJ
ejpam-3028	170	18	closed	closed	ADJ
ejpam-3028	170	19	soft	soft	ADJ
ejpam-3028	170	20	.	.	PUNCT
ejpam-3028	171	1	(	(	PUNCT
ejpam-3028	171	2	iii	iii	X
ejpam-3028	171	3	)	)	PUNCT
ejpam-3028	171	4	(	(	PUNCT
ejpam-3028	171	5	f	f	X
ejpam-3028	171	6	,	,	PUNCT
ejpam-3028	171	7	e)∪̃[clsp	e)∪̃[clsp	PROPN
ejpam-3028	171	8	(	(	PUNCT
ejpam-3028	171	9	f	f	X
ejpam-3028	171	10	,	,	PUNCT
ejpam-3028	171	11	e)]c̃	e)]c̃	PROPN
ejpam-3028	171	12	is	be	AUX
ejpam-3028	171	13	supra	supra	ADJ
ejpam-3028	171	14	pre	pre	ADJ
ejpam-3028	171	15	-	-	ADJ
ejpam-3028	171	16	open	open	ADJ
ejpam-3028	171	17	soft	soft	ADJ
ejpam-3028	171	18	.	.	PUNCT
ejpam-3028	172	1	proof	proof	NOUN
ejpam-3028	172	2	.	.	PUNCT
ejpam-3028	173	1	(	(	PUNCT
ejpam-3028	173	2	i	i	NOUN
ejpam-3028	173	3	)	)	PUNCT
ejpam-3028	173	4	⇒	⇒	PROPN
ejpam-3028	173	5	(	(	PUNCT
ejpam-3028	173	6	ii	ii	PROPN
ejpam-3028	173	7	)	)	PUNCT
ejpam-3028	173	8	:	:	PUNCT
ejpam-3028	173	9	let	let	VERB
ejpam-3028	173	10	(	(	PUNCT
ejpam-3028	173	11	f	f	X
ejpam-3028	173	12	,	,	PUNCT
ejpam-3028	173	13	e	e	NOUN
ejpam-3028	173	14	)	)	PUNCT
ejpam-3028	173	15	∈	∈	PROPN
ejpam-3028	173	16	supra	supra	NOUN
ejpam-3028	173	17	-	-	PUNCT
ejpam-3028	173	18	splc(x	splc(x	NOUN
ejpam-3028	173	19	)	)	PUNCT
ejpam-3028	173	20	.	.	PUNCT
ejpam-3028	174	1	by	by	ADP
ejpam-3028	174	2	theorem	theorem	NOUN
ejpam-3028	174	3	3	3	NUM
ejpam-3028	174	4	,	,	PUNCT
ejpam-3028	174	5	(	(	PUNCT
ejpam-3028	174	6	f	f	X
ejpam-3028	174	7	,	,	PUNCT
ejpam-3028	174	8	e	e	NOUN
ejpam-3028	174	9	)	)	PUNCT
ejpam-3028	174	10	=	=	SYM
ejpam-3028	174	11	(	(	PUNCT
ejpam-3028	174	12	g	g	NOUN
ejpam-3028	174	13	,	,	PUNCT
ejpam-3028	174	14	e)∩̃clsp	e)∩̃clsp	PUNCT
ejpam-3028	174	15	(	(	PUNCT
ejpam-3028	174	16	f	f	X
ejpam-3028	174	17	,	,	PUNCT
ejpam-3028	174	18	e	e	NOUN
ejpam-3028	174	19	)	)	PUNCT
ejpam-3028	174	20	for	for	ADP
ejpam-3028	174	21	some	some	DET
ejpam-3028	174	22	supra	supra	ADJ
ejpam-3028	174	23	pre	pre	ADJ
ejpam-3028	174	24	-	-	ADJ
ejpam-3028	174	25	open	open	ADJ
ejpam-3028	174	26	soft	soft	ADJ
ejpam-3028	174	27	set	set	NOUN
ejpam-3028	174	28	(	(	PUNCT
ejpam-3028	174	29	g	g	NOUN
ejpam-3028	174	30	,	,	PUNCT
ejpam-3028	174	31	e	e	NOUN
ejpam-3028	174	32	)	)	PUNCT
ejpam-3028	174	33	.	.	PUNCT
ejpam-3028	175	1	it	it	PRON
ejpam-3028	175	2	follows	follow	VERB
ejpam-3028	175	3	,	,	PUNCT
ejpam-3028	175	4	clsp	clsp	ADJ
ejpam-3028	175	5	(	(	PUNCT
ejpam-3028	175	6	f	f	PROPN
ejpam-3028	175	7	,	,	PUNCT
ejpam-3028	175	8	e)−(f	e)−(f	NUM
ejpam-3028	175	9	,	,	PUNCT
ejpam-3028	175	10	e	e	NOUN
ejpam-3028	175	11	)	)	PUNCT
ejpam-3028	175	12	=	=	SYM
ejpam-3028	175	13	clsp	clsp	NOUN
ejpam-3028	175	14	(	(	PUNCT
ejpam-3028	175	15	f	f	X
ejpam-3028	175	16	,	,	PUNCT
ejpam-3028	175	17	e)∩̃[(g	e)∩̃[(g	NOUN
ejpam-3028	175	18	,	,	PUNCT
ejpam-3028	175	19	e)∩̃clsp	e)∩̃clsp	PUNCT
ejpam-3028	176	1	(	(	PUNCT
ejpam-3028	176	2	f	f	X
ejpam-3028	176	3	,	,	PUNCT
ejpam-3028	176	4	e)]c̃	e)]c̃	X
ejpam-3028	176	5	=	=	AUX
ejpam-3028	176	6	clsp	clsp	ADJ
ejpam-3028	176	7	(	(	PUNCT
ejpam-3028	176	8	f	f	X
ejpam-3028	176	9	,	,	PUNCT
ejpam-3028	176	10	e)∩̃(g	e)∩̃(g	PROPN
ejpam-3028	176	11	,	,	PUNCT
ejpam-3028	176	12	e)c̃	e)c̃	PROPN
ejpam-3028	176	13	is	be	AUX
ejpam-3028	176	14	supra	supra	ADJ
ejpam-3028	176	15	pre	pre	ADJ
ejpam-3028	176	16	-	-	ADJ
ejpam-3028	176	17	closed	closed	ADJ
ejpam-3028	176	18	soft	soft	ADJ
ejpam-3028	176	19	from	from	ADP
ejpam-3028	176	20	[	[	X
ejpam-3028	176	21	[	[	X
ejpam-3028	176	22	13	13	NUM
ejpam-3028	176	23	]	]	PUNCT
ejpam-3028	176	24	,	,	PUNCT
ejpam-3028	176	25	theorem	theorem	VERB
ejpam-3028	176	26	4.1	4.1	NUM
ejpam-3028	176	27	(	(	PUNCT
ejpam-3028	176	28	2	2	NUM
ejpam-3028	176	29	)	)	PUNCT
ejpam-3028	176	30	]	]	PUNCT
ejpam-3028	176	31	,	,	PUNCT
ejpam-3028	176	32	where	where	SCONJ
ejpam-3028	176	33	(	(	PUNCT
ejpam-3028	176	34	g	g	NOUN
ejpam-3028	176	35	,	,	PUNCT
ejpam-3028	176	36	e)c̃	e)c̃	PROPN
ejpam-3028	176	37	is	be	AUX
ejpam-3028	176	38	supra	supra	ADJ
ejpam-3028	176	39	pre	pre	ADJ
ejpam-3028	176	40	-	-	ADJ
ejpam-3028	176	41	closed	closed	ADJ
ejpam-3028	176	42	soft	soft	ADJ
ejpam-3028	176	43	set	set	NOUN
ejpam-3028	176	44	.	.	PUNCT
ejpam-3028	177	1	thus	thus	ADV
ejpam-3028	177	2	,	,	PUNCT
ejpam-3028	177	3	clsp	clsp	ADJ
ejpam-3028	177	4	(	(	PUNCT
ejpam-3028	177	5	f	f	PROPN
ejpam-3028	177	6	,	,	PUNCT
ejpam-3028	177	7	e	e	NOUN
ejpam-3028	177	8	)	)	PUNCT
ejpam-3028	177	9	−	−	PROPN
ejpam-3028	177	10	(	(	PUNCT
ejpam-3028	177	11	f	f	X
ejpam-3028	177	12	,	,	PUNCT
ejpam-3028	177	13	e	e	NOUN
ejpam-3028	177	14	)	)	PUNCT
ejpam-3028	177	15	is	be	AUX
ejpam-3028	177	16	supra	supra	PROPN
ejpam-3028	177	17	preclosed	preclose	VERB
ejpam-3028	177	18	soft	soft	ADJ
ejpam-3028	177	19	.	.	PUNCT
ejpam-3028	178	1	(	(	PUNCT
ejpam-3028	178	2	ii	ii	NOUN
ejpam-3028	178	3	)	)	PUNCT
ejpam-3028	178	4	⇒	⇒	NOUN
ejpam-3028	178	5	(	(	PUNCT
ejpam-3028	178	6	i	i	NOUN
ejpam-3028	178	7	)	)	PUNCT
ejpam-3028	178	8	:	:	PUNCT
ejpam-3028	178	9	assume	assume	VERB
ejpam-3028	178	10	that	that	SCONJ
ejpam-3028	178	11	(	(	PUNCT
ejpam-3028	178	12	a	a	DET
ejpam-3028	178	13	,	,	PUNCT
ejpam-3028	178	14	e	e	NOUN
ejpam-3028	178	15	)	)	PUNCT
ejpam-3028	178	16	=	=	NOUN
ejpam-3028	179	1	[	[	X
ejpam-3028	179	2	clsp	clsp	ADJ
ejpam-3028	179	3	(	(	PUNCT
ejpam-3028	179	4	f	f	PROPN
ejpam-3028	179	5	,	,	PUNCT
ejpam-3028	179	6	e	e	NOUN
ejpam-3028	179	7	)	)	PUNCT
ejpam-3028	179	8	−	−	PROPN
ejpam-3028	179	9	(	(	PUNCT
ejpam-3028	179	10	f	f	X
ejpam-3028	179	11	,	,	PUNCT
ejpam-3028	179	12	e)]c̃.	e)]c̃.	PROPN
ejpam-3028	179	13	from	from	ADP
ejpam-3028	179	14	(	(	PUNCT
ejpam-3028	179	15	ii	ii	NOUN
ejpam-3028	179	16	)	)	PUNCT
ejpam-3028	179	17	,	,	PUNCT
ejpam-3028	179	18	(	(	PUNCT
ejpam-3028	179	19	a	a	DET
ejpam-3028	179	20	,	,	PUNCT
ejpam-3028	179	21	e	e	NOUN
ejpam-3028	179	22	)	)	PUNCT
ejpam-3028	179	23	is	be	AUX
ejpam-3028	179	24	supra	supra	ADJ
ejpam-3028	179	25	preopen	preopen	NOUN
ejpam-3028	179	26	soft	soft	ADJ
ejpam-3028	179	27	in	in	ADP
ejpam-3028	179	28	x.	x.	NOUN
ejpam-3028	179	29	hence	hence	ADV
ejpam-3028	179	30	,	,	PUNCT
ejpam-3028	179	31	(	(	PUNCT
ejpam-3028	179	32	a	a	PRON
ejpam-3028	179	33	,	,	PUNCT
ejpam-3028	179	34	e)∩̃clsp	e)∩̃clsp	PUNCT
ejpam-3028	179	35	(	(	PUNCT
ejpam-3028	179	36	f	f	X
ejpam-3028	179	37	,	,	PUNCT
ejpam-3028	179	38	e	e	NOUN
ejpam-3028	179	39	)	)	PUNCT
ejpam-3028	179	40	=	=	NOUN
ejpam-3028	180	1	[	[	X
ejpam-3028	180	2	clsp	clsp	ADJ
ejpam-3028	180	3	(	(	PUNCT
ejpam-3028	180	4	f	f	PROPN
ejpam-3028	180	5	,	,	PUNCT
ejpam-3028	180	6	e)−(f	e)−(f	PROPN
ejpam-3028	180	7	,	,	PUNCT
ejpam-3028	180	8	e)]c̃∩̃clsp	e)]c̃∩̃clsp	PROPN
ejpam-3028	180	9	(	(	PUNCT
ejpam-3028	180	10	f	f	X
ejpam-3028	180	11	,	,	PUNCT
ejpam-3028	180	12	e	e	NOUN
ejpam-3028	180	13	)	)	PUNCT
ejpam-3028	180	14	=	=	SYM
ejpam-3028	180	15	(	(	PUNCT
ejpam-3028	180	16	f	f	X
ejpam-3028	180	17	,	,	PUNCT
ejpam-3028	180	18	e	e	NOUN
ejpam-3028	180	19	)	)	PUNCT
ejpam-3028	180	20	.	.	PUNCT
ejpam-3028	181	1	therefore	therefore	ADV
ejpam-3028	181	2	,	,	PUNCT
ejpam-3028	181	3	(	(	PUNCT
ejpam-3028	181	4	f	f	X
ejpam-3028	181	5	,	,	PUNCT
ejpam-3028	181	6	e	e	NOUN
ejpam-3028	181	7	)	)	PUNCT
ejpam-3028	181	8	∈	∈	PROPN
ejpam-3028	181	9	supra	supra	NOUN
ejpam-3028	181	10	-	-	PUNCT
ejpam-3028	181	11	splc(x	splc(x	NOUN
ejpam-3028	181	12	)	)	PUNCT
ejpam-3028	181	13	from	from	ADP
ejpam-3028	181	14	theorem	theorem	ADJ
ejpam-3028	181	15	3	3	NUM
ejpam-3028	181	16	.	.	PUNCT
ejpam-3028	181	17	(	(	PUNCT
ejpam-3028	181	18	ii	ii	NOUN
ejpam-3028	181	19	)	)	PUNCT
ejpam-3028	181	20	⇒	⇒	NOUN
ejpam-3028	181	21	(	(	PUNCT
ejpam-3028	181	22	iii	iii	NOUN
ejpam-3028	181	23	)	)	PUNCT
ejpam-3028	181	24	:	:	PUNCT
ejpam-3028	181	25	since	since	SCONJ
ejpam-3028	181	26	clsp	clsp	ADJ
ejpam-3028	181	27	(	(	PUNCT
ejpam-3028	181	28	f	f	PROPN
ejpam-3028	181	29	,	,	PUNCT
ejpam-3028	181	30	e	e	NOUN
ejpam-3028	181	31	)	)	PUNCT
ejpam-3028	181	32	−	−	PROPN
ejpam-3028	181	33	(	(	PUNCT
ejpam-3028	181	34	f	f	X
ejpam-3028	181	35	,	,	PUNCT
ejpam-3028	181	36	e	e	NOUN
ejpam-3028	181	37	)	)	PUNCT
ejpam-3028	181	38	is	be	AUX
ejpam-3028	181	39	supra	supra	ADJ
ejpam-3028	181	40	pre	pre	ADJ
ejpam-3028	181	41	-	-	ADJ
ejpam-3028	181	42	closed	closed	ADJ
ejpam-3028	181	43	soft	soft	ADJ
ejpam-3028	181	44	in	in	ADP
ejpam-3028	181	45	x	x	SYM
ejpam-3028	181	46	from	from	ADP
ejpam-3028	181	47	(	(	PUNCT
ejpam-3028	181	48	ii	ii	NOUN
ejpam-3028	181	49	)	)	PUNCT
ejpam-3028	181	50	.	.	PUNCT
ejpam-3028	182	1	then	then	ADV
ejpam-3028	182	2	,	,	PUNCT
ejpam-3028	182	3	[	[	X
ejpam-3028	182	4	clsp	clsp	ADJ
ejpam-3028	182	5	(	(	PUNCT
ejpam-3028	182	6	f	f	X
ejpam-3028	182	7	,	,	PUNCT
ejpam-3028	182	8	e)−	e)−	PROPN
ejpam-3028	182	9	(	(	PUNCT
ejpam-3028	182	10	f	f	PROPN
ejpam-3028	182	11	,	,	PUNCT
ejpam-3028	182	12	e)]c̃	e)]c̃	X
ejpam-3028	182	13	=	=	PUNCT
ejpam-3028	182	14	(	(	PUNCT
ejpam-3028	182	15	f	f	X
ejpam-3028	182	16	,	,	PUNCT
ejpam-3028	182	17	e)∪̃[clsp	e)∪̃[clsp	PROPN
ejpam-3028	182	18	(	(	PUNCT
ejpam-3028	182	19	f	f	X
ejpam-3028	182	20	,	,	PUNCT
ejpam-3028	182	21	e)]c̃	e)]c̃	PROPN
ejpam-3028	182	22	is	be	AUX
ejpam-3028	182	23	supra	supra	ADJ
ejpam-3028	182	24	pre	pre	ADJ
ejpam-3028	182	25	-	-	ADJ
ejpam-3028	182	26	open	open	ADJ
ejpam-3028	182	27	soft	soft	ADJ
ejpam-3028	182	28	in	in	ADP
ejpam-3028	182	29	x.	x.	NOUN
ejpam-3028	182	30	(	(	PUNCT
ejpam-3028	182	31	iii	iii	NOUN
ejpam-3028	182	32	)	)	PUNCT
ejpam-3028	182	33	⇒	⇒	NOUN
ejpam-3028	182	34	(	(	PUNCT
ejpam-3028	182	35	ii	ii	PROPN
ejpam-3028	182	36	)	)	PUNCT
ejpam-3028	182	37	:	:	PUNCT
ejpam-3028	182	38	obvious	obvious	ADJ
ejpam-3028	182	39	.	.	PUNCT
ejpam-3028	183	1	let	let	AUX
ejpam-3028	183	2	(	(	PUNCT
ejpam-3028	183	3	x,µ,e	x,µ,e	PROPN
ejpam-3028	183	4	)	)	PUNCT
ejpam-3028	183	5	be	be	VERB
ejpam-3028	183	6	a	a	DET
ejpam-3028	183	7	supra	supra	ADJ
ejpam-3028	183	8	soft	soft	ADJ
ejpam-3028	183	9	topological	topological	ADJ
ejpam-3028	183	10	space	space	NOUN
ejpam-3028	183	11	.	.	PUNCT
ejpam-3028	184	1	then	then	ADV
ejpam-3028	184	2	,	,	PUNCT
ejpam-3028	184	3	(	(	PUNCT
ejpam-3028	184	4	f	f	X
ejpam-3028	184	5	,	,	PUNCT
ejpam-3028	184	6	e	e	NOUN
ejpam-3028	184	7	)	)	PUNCT
ejpam-3028	184	8	is	be	AUX
ejpam-3028	184	9	supra	supra	ADJ
ejpam-3028	184	10	soft	soft	ADJ
ejpam-3028	184	11	p	p	NOUN
ejpam-3028	184	12	∗-locally	∗-locally	ADV
ejpam-3028	184	13	closed	close	VERB
ejpam-3028	184	14	if	if	SCONJ
ejpam-3028	184	15	and	and	CCONJ
ejpam-3028	184	16	only	only	ADV
ejpam-3028	184	17	if	if	SCONJ
ejpam-3028	184	18	(	(	PUNCT
ejpam-3028	184	19	f	f	X
ejpam-3028	184	20	,	,	PUNCT
ejpam-3028	184	21	e	e	NOUN
ejpam-3028	184	22	)	)	PUNCT
ejpam-3028	184	23	=	=	SYM
ejpam-3028	184	24	(	(	PUNCT
ejpam-3028	184	25	h	h	NOUN
ejpam-3028	184	26	,	,	PUNCT
ejpam-3028	184	27	e)∩̃cls(f	e)∩̃cls(f	PROPN
ejpam-3028	184	28	,	,	PUNCT
ejpam-3028	184	29	e	e	NOUN
ejpam-3028	184	30	)	)	PUNCT
ejpam-3028	184	31	for	for	ADP
ejpam-3028	184	32	some	some	DET
ejpam-3028	184	33	supra	supra	ADJ
ejpam-3028	184	34	pre	pre	ADJ
ejpam-3028	184	35	-	-	ADJ
ejpam-3028	184	36	open	open	ADJ
ejpam-3028	184	37	soft	soft	ADJ
ejpam-3028	184	38	set	set	NOUN
ejpam-3028	184	39	(	(	PUNCT
ejpam-3028	184	40	h	h	NOUN
ejpam-3028	184	41	,	,	PUNCT
ejpam-3028	184	42	e	e	NOUN
ejpam-3028	184	43	)	)	PUNCT
ejpam-3028	184	44	.	.	PUNCT
ejpam-3028	185	1	proof	proof	NOUN
ejpam-3028	185	2	.	.	PUNCT
ejpam-3028	186	1	necessity	necessity	NOUN
ejpam-3028	186	2	:	:	PUNCT
ejpam-3028	186	3	let	let	VERB
ejpam-3028	186	4	(	(	PUNCT
ejpam-3028	186	5	f	f	X
ejpam-3028	186	6	,	,	PUNCT
ejpam-3028	186	7	e	e	NOUN
ejpam-3028	186	8	)	)	PUNCT
ejpam-3028	186	9	be	be	AUX
ejpam-3028	186	10	a	a	DET
ejpam-3028	186	11	supra	supra	PROPN
ejpam-3028	186	12	soft	soft	ADJ
ejpam-3028	186	13	p	p	NOUN
ejpam-3028	186	14	∗-locally	∗-locally	ADV
ejpam-3028	186	15	closed	close	VERB
ejpam-3028	186	16	set	set	VERB
ejpam-3028	186	17	in	in	ADP
ejpam-3028	186	18	x.	x.	NOUN
ejpam-3028	186	19	then	then	ADV
ejpam-3028	186	20	,	,	PUNCT
ejpam-3028	186	21	(	(	PUNCT
ejpam-3028	186	22	f	f	X
ejpam-3028	186	23	,	,	PUNCT
ejpam-3028	186	24	e	e	NOUN
ejpam-3028	186	25	)	)	PUNCT
ejpam-3028	186	26	=	=	SYM
ejpam-3028	186	27	(	(	PUNCT
ejpam-3028	186	28	h	h	NOUN
ejpam-3028	186	29	,	,	PUNCT
ejpam-3028	186	30	e)∩̃(g	e)∩̃(g	PROPN
ejpam-3028	186	31	,	,	PUNCT
ejpam-3028	186	32	e	e	NOUN
ejpam-3028	186	33	)	)	PUNCT
ejpam-3028	186	34	where	where	SCONJ
ejpam-3028	186	35	(	(	PUNCT
ejpam-3028	186	36	h	h	NOUN
ejpam-3028	186	37	,	,	PUNCT
ejpam-3028	186	38	e	e	NOUN
ejpam-3028	186	39	)	)	PUNCT
ejpam-3028	186	40	is	be	AUX
ejpam-3028	186	41	supra	supra	ADJ
ejpam-3028	186	42	pre	pre	ADJ
ejpam-3028	186	43	-	-	ADJ
ejpam-3028	186	44	open	open	ADJ
ejpam-3028	186	45	soft	soft	ADJ
ejpam-3028	186	46	and	and	CCONJ
ejpam-3028	186	47	(	(	PUNCT
ejpam-3028	186	48	g	g	NOUN
ejpam-3028	186	49	,	,	PUNCT
ejpam-3028	186	50	e	e	NOUN
ejpam-3028	186	51	)	)	PUNCT
ejpam-3028	186	52	is	be	AUX
ejpam-3028	186	53	supra	supra	PROPN
ejpam-3028	186	54	closed	close	VERB
ejpam-3028	186	55	soft	soft	ADJ
ejpam-3028	186	56	in	in	ADP
ejpam-3028	186	57	x.	x.	NOUN
ejpam-3028	186	58	it	it	PRON
ejpam-3028	186	59	follows	follow	VERB
ejpam-3028	186	60	,	,	PUNCT
ejpam-3028	186	61	cls(f	cls(f	PROPN
ejpam-3028	186	62	,	,	PUNCT
ejpam-3028	186	63	e)⊆̃cls(g	e)⊆̃cls(g	NOUN
ejpam-3028	186	64	,	,	PUNCT
ejpam-3028	186	65	e	e	NOUN
ejpam-3028	186	66	)	)	PUNCT
ejpam-3028	186	67	=	=	SYM
ejpam-3028	186	68	(	(	PUNCT
ejpam-3028	186	69	g	g	NOUN
ejpam-3028	186	70	,	,	PUNCT
ejpam-3028	186	71	e	e	NOUN
ejpam-3028	186	72	)	)	PUNCT
ejpam-3028	186	73	.	.	PUNCT
ejpam-3028	187	1	hence	hence	ADV
ejpam-3028	187	2	,	,	PUNCT
ejpam-3028	187	3	(	(	PUNCT
ejpam-3028	187	4	f	f	X
ejpam-3028	187	5	,	,	PUNCT
ejpam-3028	187	6	e)⊆̃(h	e)⊆̃(h	PROPN
ejpam-3028	187	7	,	,	PUNCT
ejpam-3028	187	8	e)∩̃cls(f	e)∩̃cls(f	PROPN
ejpam-3028	187	9	,	,	PUNCT
ejpam-3028	187	10	e)⊆̃(h	e)⊆̃(h	PROPN
ejpam-3028	187	11	,	,	PUNCT
ejpam-3028	187	12	e)∩̃(g	e)∩̃(g	PROPN
ejpam-3028	187	13	,	,	PUNCT
ejpam-3028	187	14	e	e	NOUN
ejpam-3028	187	15	)	)	PUNCT
ejpam-3028	187	16	=	=	SYM
ejpam-3028	187	17	(	(	PUNCT
ejpam-3028	187	18	f	f	X
ejpam-3028	187	19	,	,	PUNCT
ejpam-3028	187	20	e	e	NOUN
ejpam-3028	187	21	)	)	PUNCT
ejpam-3028	187	22	.	.	PUNCT
ejpam-3028	188	1	thus	thus	ADV
ejpam-3028	188	2	,	,	PUNCT
ejpam-3028	188	3	(	(	PUNCT
ejpam-3028	188	4	f	f	X
ejpam-3028	188	5	,	,	PUNCT
ejpam-3028	188	6	e	e	NOUN
ejpam-3028	188	7	)	)	PUNCT
ejpam-3028	188	8	=	=	SYM
ejpam-3028	188	9	(	(	PUNCT
ejpam-3028	188	10	h	h	NOUN
ejpam-3028	188	11	,	,	PUNCT
ejpam-3028	188	12	e)∩̃cls(f	e)∩̃cls(f	PROPN
ejpam-3028	188	13	,	,	PUNCT
ejpam-3028	188	14	e	e	NOUN
ejpam-3028	188	15	)	)	PUNCT
ejpam-3028	188	16	.	.	PUNCT
ejpam-3028	189	1	sufficient	sufficient	ADJ
ejpam-3028	189	2	:	:	PUNCT
ejpam-3028	189	3	obvious	obvious	ADJ
ejpam-3028	189	4	from	from	ADP
ejpam-3028	189	5	definition	definition	NOUN
ejpam-3028	189	6	15	15	NUM
ejpam-3028	189	7	(	(	PUNCT
ejpam-3028	189	8	2	2	NUM
ejpam-3028	189	9	)	)	PUNCT
ejpam-3028	189	10	.	.	PUNCT
ejpam-3028	190	1	let	let	VERB
ejpam-3028	190	2	(	(	PUNCT
ejpam-3028	190	3	f	f	X
ejpam-3028	190	4	,	,	PUNCT
ejpam-3028	190	5	e	e	NOUN
ejpam-3028	190	6	)	)	PUNCT
ejpam-3028	190	7	be	be	AUX
ejpam-3028	190	8	a	a	DET
ejpam-3028	190	9	subset	subset	NOUN
ejpam-3028	190	10	of	of	ADP
ejpam-3028	190	11	a	a	DET
ejpam-3028	190	12	supra	supra	PROPN
ejpam-3028	190	13	soft	soft	ADJ
ejpam-3028	190	14	topological	topological	ADJ
ejpam-3028	190	15	space	space	NOUN
ejpam-3028	190	16	(	(	PUNCT
ejpam-3028	190	17	x,µ,e	x,µ,e	PROPN
ejpam-3028	190	18	)	)	PUNCT
ejpam-3028	190	19	.	.	PUNCT
ejpam-3028	191	1	then	then	ADV
ejpam-3028	191	2	,	,	PUNCT
ejpam-3028	191	3	the	the	DET
ejpam-3028	191	4	following	follow	VERB
ejpam-3028	191	5	are	be	AUX
ejpam-3028	191	6	equivalent	equivalent	ADJ
ejpam-3028	191	7	:	:	PUNCT
ejpam-3028	191	8	(	(	PUNCT
ejpam-3028	191	9	i	i	NOUN
ejpam-3028	191	10	)	)	PUNCT
ejpam-3028	191	11	(	(	PUNCT
ejpam-3028	191	12	f	f	X
ejpam-3028	191	13	,	,	PUNCT
ejpam-3028	191	14	e	e	NOUN
ejpam-3028	191	15	)	)	PUNCT
ejpam-3028	191	16	∈	∈	PROPN
ejpam-3028	191	17	supra	supra	NOUN
ejpam-3028	191	18	-	-	PUNCT
ejpam-3028	191	19	sp	sp	NOUN
ejpam-3028	191	20	∗lc(x	∗lc(x	NOUN
ejpam-3028	191	21	)	)	PUNCT
ejpam-3028	191	22	.	.	PUNCT
ejpam-3028	192	1	(	(	PUNCT
ejpam-3028	192	2	ii	ii	NOUN
ejpam-3028	192	3	)	)	PUNCT
ejpam-3028	192	4	cls(f	cls(f	PROPN
ejpam-3028	192	5	,	,	PUNCT
ejpam-3028	192	6	e)−	e)−	PROPN
ejpam-3028	192	7	(	(	PUNCT
ejpam-3028	192	8	f	f	X
ejpam-3028	192	9	,	,	PUNCT
ejpam-3028	192	10	e	e	NOUN
ejpam-3028	192	11	)	)	PUNCT
ejpam-3028	192	12	is	be	AUX
ejpam-3028	192	13	supra	supra	ADJ
ejpam-3028	192	14	pre	pre	ADJ
ejpam-3028	192	15	-	-	ADJ
ejpam-3028	192	16	closed	closed	ADJ
ejpam-3028	192	17	soft	soft	ADJ
ejpam-3028	192	18	.	.	PUNCT
ejpam-3028	193	1	(	(	PUNCT
ejpam-3028	193	2	iii	iii	X
ejpam-3028	193	3	)	)	PUNCT
ejpam-3028	193	4	(	(	PUNCT
ejpam-3028	193	5	f	f	X
ejpam-3028	193	6	,	,	PUNCT
ejpam-3028	193	7	e)∪̃[cls(f	e)∪̃[cls(f	PROPN
ejpam-3028	193	8	,	,	PUNCT
ejpam-3028	193	9	e)]c̃	e)]c̃	PROPN
ejpam-3028	193	10	is	be	AUX
ejpam-3028	193	11	supra	supra	ADJ
ejpam-3028	193	12	pre	pre	ADJ
ejpam-3028	193	13	-	-	ADJ
ejpam-3028	193	14	open	open	ADJ
ejpam-3028	193	15	soft	soft	ADJ
ejpam-3028	193	16	.	.	PUNCT
ejpam-3028	194	1	proof	proof	NOUN
ejpam-3028	194	2	.	.	PUNCT
ejpam-3028	195	1	it	it	PRON
ejpam-3028	195	2	is	be	AUX
ejpam-3028	195	3	similar	similar	ADJ
ejpam-3028	195	4	to	to	ADP
ejpam-3028	195	5	the	the	DET
ejpam-3028	195	6	proof	proof	NOUN
ejpam-3028	195	7	of	of	ADP
ejpam-3028	195	8	theorem	theorem	NOUN
ejpam-3028	195	9	3	3	X
ejpam-3028	195	10	.	.	PUNCT
ejpam-3028	196	1	let	let	AUX
ejpam-3028	196	2	(	(	PUNCT
ejpam-3028	196	3	x,µ,e	x,µ,e	PROPN
ejpam-3028	196	4	)	)	PUNCT
ejpam-3028	196	5	be	be	VERB
ejpam-3028	196	6	a	a	DET
ejpam-3028	196	7	supra	supra	ADJ
ejpam-3028	196	8	soft	soft	ADJ
ejpam-3028	196	9	topological	topological	ADJ
ejpam-3028	196	10	space	space	NOUN
ejpam-3028	196	11	.	.	PUNCT
ejpam-3028	197	1	then	then	ADV
ejpam-3028	197	2	,	,	PUNCT
ejpam-3028	197	3	(	(	PUNCT
ejpam-3028	197	4	f	f	X
ejpam-3028	197	5	,	,	PUNCT
ejpam-3028	197	6	e	e	NOUN
ejpam-3028	197	7	)	)	PUNCT
ejpam-3028	197	8	is	be	AUX
ejpam-3028	197	9	supra	supra	ADJ
ejpam-3028	197	10	soft	soft	ADJ
ejpam-3028	197	11	p	p	X
ejpam-3028	197	12	∗∗-locally	∗∗-locally	ADV
ejpam-3028	197	13	closed	close	VERB
ejpam-3028	197	14	if	if	SCONJ
ejpam-3028	197	15	and	and	CCONJ
ejpam-3028	197	16	only	only	ADV
ejpam-3028	197	17	if	if	SCONJ
ejpam-3028	197	18	(	(	PUNCT
ejpam-3028	197	19	f	f	X
ejpam-3028	197	20	,	,	PUNCT
ejpam-3028	197	21	e	e	NOUN
ejpam-3028	197	22	)	)	PUNCT
ejpam-3028	197	23	=	=	SYM
ejpam-3028	197	24	(	(	PUNCT
ejpam-3028	197	25	g	g	NOUN
ejpam-3028	197	26	,	,	PUNCT
ejpam-3028	197	27	e)∩̃clsp	e)∩̃clsp	PUNCT
ejpam-3028	197	28	(	(	PUNCT
ejpam-3028	197	29	f	f	X
ejpam-3028	197	30	,	,	PUNCT
ejpam-3028	197	31	e	e	NOUN
ejpam-3028	197	32	)	)	PUNCT
ejpam-3028	197	33	for	for	ADP
ejpam-3028	197	34	some	some	DET
ejpam-3028	197	35	supra	supra	PROPN
ejpam-3028	197	36	open	open	ADJ
ejpam-3028	197	37	soft	soft	ADJ
ejpam-3028	197	38	set	set	NOUN
ejpam-3028	197	39	(	(	PUNCT
ejpam-3028	197	40	g	g	NOUN
ejpam-3028	197	41	,	,	PUNCT
ejpam-3028	197	42	e	e	NOUN
ejpam-3028	197	43	)	)	PUNCT
ejpam-3028	197	44	.	.	PUNCT
ejpam-3028	198	1	proof	proof	NOUN
ejpam-3028	198	2	.	.	PUNCT
ejpam-3028	199	1	it	it	PRON
ejpam-3028	199	2	is	be	AUX
ejpam-3028	199	3	similar	similar	ADJ
ejpam-3028	199	4	to	to	ADP
ejpam-3028	199	5	the	the	DET
ejpam-3028	199	6	proof	proof	NOUN
ejpam-3028	199	7	of	of	ADP
ejpam-3028	199	8	theorem	theorem	NOUN
ejpam-3028	199	9	3	3	X
ejpam-3028	199	10	.	.	PUNCT
ejpam-3028	200	1	let	let	AUX
ejpam-3028	200	2	(	(	PUNCT
ejpam-3028	200	3	f	f	X
ejpam-3028	200	4	,	,	PUNCT
ejpam-3028	200	5	e	e	NOUN
ejpam-3028	200	6	)	)	PUNCT
ejpam-3028	200	7	be	be	AUX
ejpam-3028	200	8	a	a	DET
ejpam-3028	200	9	subset	subset	NOUN
ejpam-3028	200	10	of	of	ADP
ejpam-3028	200	11	a	a	DET
ejpam-3028	200	12	supra	supra	PROPN
ejpam-3028	200	13	soft	soft	ADJ
ejpam-3028	200	14	topological	topological	ADJ
ejpam-3028	200	15	space	space	NOUN
ejpam-3028	200	16	(	(	PUNCT
ejpam-3028	200	17	x,µ,e	x,µ,e	PROPN
ejpam-3028	200	18	)	)	PUNCT
ejpam-3028	200	19	.	.	PUNCT
ejpam-3028	201	1	if	if	SCONJ
ejpam-3028	201	2	(	(	PUNCT
ejpam-3028	201	3	f	f	X
ejpam-3028	201	4	,	,	PUNCT
ejpam-3028	201	5	e	e	NOUN
ejpam-3028	201	6	)	)	PUNCT
ejpam-3028	201	7	∈	∈	PROPN
ejpam-3028	201	8	suprasp	suprasp	NOUN
ejpam-3028	201	9	∗∗lc(x	∗∗lc(x	PROPN
ejpam-3028	201	10	)	)	PUNCT
ejpam-3028	201	11	,	,	PUNCT
ejpam-3028	201	12	then	then	ADV
ejpam-3028	201	13	cls(f	cls(f	PROPN
ejpam-3028	201	14	,	,	PUNCT
ejpam-3028	201	15	e	e	NOUN
ejpam-3028	201	16	)	)	PUNCT
ejpam-3028	201	17	−	−	PROPN
ejpam-3028	201	18	(	(	PUNCT
ejpam-3028	201	19	f	f	X
ejpam-3028	201	20	,	,	PUNCT
ejpam-3028	201	21	e	e	NOUN
ejpam-3028	201	22	)	)	PUNCT
ejpam-3028	201	23	is	be	AUX
ejpam-3028	201	24	supra	supra	ADJ
ejpam-3028	201	25	pre	pre	ADJ
ejpam-3028	201	26	-	-	ADJ
ejpam-3028	201	27	closed	closed	ADJ
ejpam-3028	201	28	soft	soft	ADJ
ejpam-3028	201	29	and	and	CCONJ
ejpam-3028	201	30	(	(	PUNCT
ejpam-3028	201	31	f	f	X
ejpam-3028	201	32	,	,	PUNCT
ejpam-3028	201	33	e)∪̃[cls(f	e)∪̃[cls(f	PROPN
ejpam-3028	201	34	,	,	PUNCT
ejpam-3028	201	35	e)]c̃	e)]c̃	PROPN
ejpam-3028	201	36	is	be	AUX
ejpam-3028	201	37	supra	supra	ADJ
ejpam-3028	201	38	pre	pre	ADJ
ejpam-3028	201	39	-	-	ADJ
ejpam-3028	201	40	open	open	ADJ
ejpam-3028	201	41	soft	soft	ADJ
ejpam-3028	201	42	.	.	PUNCT
ejpam-3028	202	1	proof	proof	NOUN
ejpam-3028	202	2	.	.	PUNCT
ejpam-3028	203	1	it	it	PRON
ejpam-3028	203	2	is	be	AUX
ejpam-3028	203	3	similar	similar	ADJ
ejpam-3028	203	4	to	to	ADP
ejpam-3028	203	5	the	the	DET
ejpam-3028	203	6	proof	proof	NOUN
ejpam-3028	203	7	of	of	ADP
ejpam-3028	203	8	theorem	theorem	NOUN
ejpam-3028	203	9	3	3	NUM
ejpam-3028	203	10	.	.	PUNCT
ejpam-3028	204	1	f.	f.	PROPN
ejpam-3028	204	2	a.	a.	PROPN
ejpam-3028	204	3	gharib	gharib	PROPN
ejpam-3028	204	4	et	et	PROPN
ejpam-3028	204	5	al	al	PROPN
ejpam-3028	204	6	.	.	PUNCT
ejpam-3028	204	7	/	/	SYM
ejpam-3028	204	8	eur	eur	PROPN
ejpam-3028	204	9	.	.	PUNCT
ejpam-3028	205	1	j.	j.	PROPN
ejpam-3028	205	2	pure	pure	PROPN
ejpam-3028	205	3	appl	appl	PROPN
ejpam-3028	205	4	.	.	PROPN
ejpam-3028	205	5	math	math	PROPN
ejpam-3028	205	6	,	,	PUNCT
ejpam-3028	205	7	10	10	NUM
ejpam-3028	205	8	(	(	PUNCT
ejpam-3028	205	9	4	4	NUM
ejpam-3028	205	10	)	)	PUNCT
ejpam-3028	205	11	(	(	PUNCT
ejpam-3028	205	12	2017	2017	NUM
ejpam-3028	205	13	)	)	PUNCT
ejpam-3028	205	14	,	,	PUNCT
ejpam-3028	205	15	835	835	NUM
ejpam-3028	205	16	-	-	SYM
ejpam-3028	205	17	849	849	NUM
ejpam-3028	205	18	842	842	NUM
ejpam-3028	205	19	remark	remark	NOUN
ejpam-3028	205	20	5	5	NUM
ejpam-3028	205	21	.	.	PUNCT
ejpam-3028	206	1	the	the	DET
ejpam-3028	206	2	converse	converse	NOUN
ejpam-3028	206	3	theorem	theorem	VERB
ejpam-3028	206	4	3	3	NUM
ejpam-3028	206	5	is	be	AUX
ejpam-3028	206	6	not	not	PART
ejpam-3028	206	7	true	true	ADJ
ejpam-3028	206	8	in	in	ADP
ejpam-3028	206	9	general	general	ADJ
ejpam-3028	206	10	as	as	SCONJ
ejpam-3028	206	11	shall	shall	AUX
ejpam-3028	206	12	shown	show	VERB
ejpam-3028	206	13	in	in	ADP
ejpam-3028	206	14	the	the	DET
ejpam-3028	206	15	following	follow	VERB
ejpam-3028	206	16	examples	example	NOUN
ejpam-3028	206	17	.	.	PUNCT
ejpam-3028	207	1	example	example	NOUN
ejpam-3028	208	1	3	3	NUM
ejpam-3028	208	2	.	.	PUNCT
ejpam-3028	209	1	in	in	ADP
ejpam-3028	209	2	example	example	NOUN
ejpam-3028	209	3	1	1	NUM
ejpam-3028	209	4	,	,	PUNCT
ejpam-3028	209	5	for	for	ADP
ejpam-3028	209	6	the	the	DET
ejpam-3028	209	7	soft	soft	ADJ
ejpam-3028	209	8	set	set	NOUN
ejpam-3028	209	9	(	(	PUNCT
ejpam-3028	209	10	g	g	NOUN
ejpam-3028	209	11	,	,	PUNCT
ejpam-3028	209	12	e	e	NOUN
ejpam-3028	209	13	)	)	PUNCT
ejpam-3028	209	14	,	,	PUNCT
ejpam-3028	209	15	where	where	SCONJ
ejpam-3028	209	16	g(e1	g(e1	NOUN
ejpam-3028	209	17	)	)	PUNCT
ejpam-3028	209	18	=	=	PRON
ejpam-3028	210	1	{	{	PUNCT
ejpam-3028	210	2	a	a	X
ejpam-3028	210	3	,	,	PUNCT
ejpam-3028	210	4	c	c	NOUN
ejpam-3028	210	5	,	,	PUNCT
ejpam-3028	210	6	d	d	NOUN
ejpam-3028	210	7	}	}	PUNCT
ejpam-3028	210	8	,	,	PUNCT
ejpam-3028	210	9	g(e2	g(e2	NOUN
ejpam-3028	210	10	)	)	PUNCT
ejpam-3028	210	11	=	=	SYM
ejpam-3028	210	12	{	{	PUNCT
ejpam-3028	210	13	b	b	PROPN
ejpam-3028	210	14	,	,	PUNCT
ejpam-3028	210	15	c	c	NOUN
ejpam-3028	210	16	,	,	PUNCT
ejpam-3028	210	17	d	d	NOUN
ejpam-3028	210	18	}	}	PUNCT
ejpam-3028	210	19	,	,	PUNCT
ejpam-3028	210	20	we	we	PRON
ejpam-3028	210	21	have	have	VERB
ejpam-3028	210	22	cls(g	cls(g	PROPN
ejpam-3028	210	23	,	,	PUNCT
ejpam-3028	210	24	e)−	e)−	PROPN
ejpam-3028	210	25	(	(	PUNCT
ejpam-3028	210	26	g	g	NOUN
ejpam-3028	210	27	,	,	PUNCT
ejpam-3028	210	28	e	e	NOUN
ejpam-3028	210	29	)	)	PUNCT
ejpam-3028	210	30	=	=	SYM
ejpam-3028	210	31	(	(	PUNCT
ejpam-3028	210	32	c	c	X
ejpam-3028	210	33	,	,	PUNCT
ejpam-3028	210	34	e	e	NOUN
ejpam-3028	210	35	)	)	PUNCT
ejpam-3028	210	36	,	,	PUNCT
ejpam-3028	210	37	where	where	SCONJ
ejpam-3028	210	38	c(e1	c(e1	NOUN
ejpam-3028	210	39	)	)	PUNCT
ejpam-3028	211	1	=	=	PUNCT
ejpam-3028	211	2	{	{	PUNCT
ejpam-3028	211	3	b	b	NOUN
ejpam-3028	211	4	}	}	PUNCT
ejpam-3028	211	5	,	,	PUNCT
ejpam-3028	211	6	c(e2	c(e2	NOUN
ejpam-3028	211	7	)	)	PUNCT
ejpam-3028	211	8	=	=	PRON
ejpam-3028	212	1	{	{	PUNCT
ejpam-3028	212	2	a	a	NOUN
ejpam-3028	212	3	}	}	PUNCT
ejpam-3028	212	4	,	,	PUNCT
ejpam-3028	212	5	is	be	AUX
ejpam-3028	212	6	a	a	DET
ejpam-3028	212	7	supra	supra	ADJ
ejpam-3028	212	8	pre	pre	ADJ
ejpam-3028	212	9	-	-	ADJ
ejpam-3028	212	10	closed	closed	ADJ
ejpam-3028	212	11	soft	soft	ADJ
ejpam-3028	212	12	and	and	CCONJ
ejpam-3028	212	13	(	(	PUNCT
ejpam-3028	212	14	g	g	NOUN
ejpam-3028	212	15	,	,	PUNCT
ejpam-3028	212	16	e)∪̃[cls(g	e)∪̃[cls(g	PROPN
ejpam-3028	212	17	,	,	PUNCT
ejpam-3028	212	18	e)]c̃	e)]c̃	X
ejpam-3028	212	19	=	=	SYM
ejpam-3028	212	20	(	(	PUNCT
ejpam-3028	212	21	g	g	NOUN
ejpam-3028	212	22	,	,	PUNCT
ejpam-3028	212	23	e	e	NOUN
ejpam-3028	212	24	)	)	PUNCT
ejpam-3028	212	25	is	be	AUX
ejpam-3028	212	26	a	a	DET
ejpam-3028	212	27	supra	supra	ADJ
ejpam-3028	212	28	pre	pre	ADJ
ejpam-3028	212	29	-	-	ADJ
ejpam-3028	212	30	open	open	ADJ
ejpam-3028	212	31	soft	soft	ADJ
ejpam-3028	212	32	.	.	PUNCT
ejpam-3028	213	1	but	but	CCONJ
ejpam-3028	213	2	,	,	PUNCT
ejpam-3028	213	3	(	(	PUNCT
ejpam-3028	213	4	f	f	X
ejpam-3028	213	5	,	,	PUNCT
ejpam-3028	213	6	e	e	NOUN
ejpam-3028	213	7	)	)	PUNCT
ejpam-3028	213	8	6∈	6∈	PROPN
ejpam-3028	213	9	supra	supra	PROPN
ejpam-3028	213	10	-	-	PUNCT
ejpam-3028	213	11	sp	sp	NOUN
ejpam-3028	213	12	∗∗lc(x	∗∗lc(x	NOUN
ejpam-3028	213	13	)	)	PUNCT
ejpam-3028	213	14	.	.	PUNCT
ejpam-3028	214	1	remark	remark	NOUN
ejpam-3028	214	2	6	6	NUM
ejpam-3028	214	3	.	.	PUNCT
ejpam-3028	215	1	the	the	DET
ejpam-3028	215	2	relative	relative	ADJ
ejpam-3028	215	3	complement	complement	NOUN
ejpam-3028	215	4	of	of	ADP
ejpam-3028	215	5	a	a	DET
ejpam-3028	215	6	supra	supra	PROPN
ejpam-3028	215	7	soft	soft	ADJ
ejpam-3028	215	8	p	p	X
ejpam-3028	215	9	(	(	PUNCT
ejpam-3028	215	10	resp	resp	NOUN
ejpam-3028	215	11	.	.	PUNCT
ejpam-3028	216	1	p	p	X
ejpam-3028	216	2	∗and	∗and	PROPN
ejpam-3028	216	3	p	p	NOUN
ejpam-3028	216	4	∗∗-	∗∗-	NOUN
ejpam-3028	216	5	)	)	PUNCT
ejpam-3028	216	6	locally	locally	ADV
ejpam-3028	216	7	closed	close	VERB
ejpam-3028	216	8	set	set	NOUN
ejpam-3028	216	9	need	need	VERB
ejpam-3028	216	10	not	not	PART
ejpam-3028	216	11	to	to	PART
ejpam-3028	216	12	be	be	AUX
ejpam-3028	216	13	a	a	DET
ejpam-3028	216	14	supra	supra	ADJ
ejpam-3028	216	15	soft	soft	ADJ
ejpam-3028	216	16	p	p	X
ejpam-3028	216	17	(	(	PUNCT
ejpam-3028	216	18	resp	resp	NOUN
ejpam-3028	216	19	.	.	PUNCT
ejpam-3028	217	1	p	p	X
ejpam-3028	217	2	∗and	∗and	PROPN
ejpam-3028	217	3	p	p	NOUN
ejpam-3028	217	4	∗∗-	∗∗-	NOUN
ejpam-3028	217	5	)	)	PUNCT
ejpam-3028	217	6	locally	locally	ADV
ejpam-3028	217	7	closed	close	VERB
ejpam-3028	217	8	.	.	PUNCT
ejpam-3028	218	1	the	the	DET
ejpam-3028	218	2	following	follow	VERB
ejpam-3028	218	3	examples	example	NOUN
ejpam-3028	218	4	support	support	VERB
ejpam-3028	218	5	our	our	PRON
ejpam-3028	218	6	claim	claim	NOUN
ejpam-3028	218	7	.	.	PUNCT
ejpam-3028	219	1	(	(	PUNCT
ejpam-3028	219	2	1	1	X
ejpam-3028	219	3	)	)	PUNCT
ejpam-3028	219	4	in	in	ADP
ejpam-3028	219	5	examples	example	NOUN
ejpam-3028	219	6	3	3	NUM
ejpam-3028	219	7	(	(	PUNCT
ejpam-3028	219	8	1	1	NUM
ejpam-3028	219	9	)	)	PUNCT
ejpam-3028	219	10	,	,	PUNCT
ejpam-3028	219	11	the	the	DET
ejpam-3028	219	12	soft	soft	ADJ
ejpam-3028	219	13	set	set	NOUN
ejpam-3028	219	14	(	(	PUNCT
ejpam-3028	219	15	g	g	NOUN
ejpam-3028	219	16	,	,	PUNCT
ejpam-3028	219	17	e	e	NOUN
ejpam-3028	219	18	)	)	PUNCT
ejpam-3028	219	19	is	be	AUX
ejpam-3028	219	20	a	a	DET
ejpam-3028	219	21	supra	supra	PROPN
ejpam-3028	219	22	soft	soft	ADJ
ejpam-3028	219	23	p	p	NOUN
ejpam-3028	219	24	-locally	-locally	ADV
ejpam-3028	219	25	closed	close	VERB
ejpam-3028	219	26	in	in	ADP
ejpam-3028	219	27	(	(	PUNCT
ejpam-3028	219	28	x,µ,e	x,µ,e	PROPN
ejpam-3028	219	29	)	)	PUNCT
ejpam-3028	219	30	,	,	PUNCT
ejpam-3028	219	31	but	but	CCONJ
ejpam-3028	219	32	its	its	PRON
ejpam-3028	219	33	relative	relative	ADJ
ejpam-3028	219	34	complement	complement	NOUN
ejpam-3028	219	35	(	(	PUNCT
ejpam-3028	219	36	g	g	NOUN
ejpam-3028	219	37	,	,	PUNCT
ejpam-3028	219	38	e)c	e)c	PUNCT
ejpam-3028	219	39	is	be	AUX
ejpam-3028	219	40	not	not	PART
ejpam-3028	219	41	supra	supra	ADJ
ejpam-3028	219	42	soft	soft	ADJ
ejpam-3028	219	43	p	p	NOUN
ejpam-3028	219	44	-locally	-locally	ADV
ejpam-3028	219	45	closed	close	VERB
ejpam-3028	219	46	,	,	PUNCT
ejpam-3028	219	47	where	where	SCONJ
ejpam-3028	219	48	gc(e1	gc(e1	ADV
ejpam-3028	219	49	)	)	PUNCT
ejpam-3028	220	1	=	=	PRON
ejpam-3028	220	2	{	{	PUNCT
ejpam-3028	220	3	b	b	NOUN
ejpam-3028	220	4	}	}	PUNCT
ejpam-3028	220	5	,	,	PUNCT
ejpam-3028	220	6	gc(e2	gc(e2	X
ejpam-3028	220	7	)	)	PUNCT
ejpam-3028	220	8	=	=	PRON
ejpam-3028	220	9	{	{	PUNCT
ejpam-3028	220	10	a	a	X
ejpam-3028	220	11	}	}	PUNCT
ejpam-3028	220	12	.	.	PUNCT
ejpam-3028	221	1	(	(	PUNCT
ejpam-3028	221	2	2	2	X
ejpam-3028	221	3	)	)	PUNCT
ejpam-3028	221	4	suppose	suppose	VERB
ejpam-3028	221	5	that	that	SCONJ
ejpam-3028	221	6	there	there	PRON
ejpam-3028	221	7	are	be	VERB
ejpam-3028	221	8	four	four	NUM
ejpam-3028	221	9	phones	phone	NOUN
ejpam-3028	221	10	in	in	ADP
ejpam-3028	221	11	the	the	DET
ejpam-3028	221	12	universe	universe	NOUN
ejpam-3028	221	13	x	x	PUNCT
ejpam-3028	221	14	given	give	VERB
ejpam-3028	221	15	by	by	ADP
ejpam-3028	221	16	x	x	X
ejpam-3028	221	17	=	=	X
ejpam-3028	221	18	{	{	PUNCT
ejpam-3028	221	19	a	a	PRON
ejpam-3028	221	20	,	,	PUNCT
ejpam-3028	221	21	b	b	NOUN
ejpam-3028	221	22	,	,	PUNCT
ejpam-3028	221	23	c	c	NOUN
ejpam-3028	221	24	,	,	PUNCT
ejpam-3028	221	25	d	d	NOUN
ejpam-3028	221	26	}	}	PUNCT
ejpam-3028	221	27	.	.	PUNCT
ejpam-3028	222	1	let	let	VERB
ejpam-3028	222	2	e	e	NOUN
ejpam-3028	222	3	=	=	PRON
ejpam-3028	222	4	{	{	PUNCT
ejpam-3028	222	5	e1	e1	PROPN
ejpam-3028	222	6	,	,	PUNCT
ejpam-3028	222	7	e2	e2	PROPN
ejpam-3028	222	8	}	}	PUNCT
ejpam-3028	222	9	be	be	VERB
ejpam-3028	222	10	the	the	DET
ejpam-3028	222	11	set	set	NOUN
ejpam-3028	222	12	of	of	ADP
ejpam-3028	222	13	decision	decision	NOUN
ejpam-3028	222	14	parameters	parameter	NOUN
ejpam-3028	222	15	which	which	PRON
ejpam-3028	222	16	stand	stand	VERB
ejpam-3028	222	17	for	for	ADP
ejpam-3028	222	18	”	"	PUNCT
ejpam-3028	222	19	cheap	cheap	ADJ
ejpam-3028	222	20	”	"	PUNCT
ejpam-3028	222	21	and	and	CCONJ
ejpam-3028	222	22	”	"	PUNCT
ejpam-3028	222	23	model	model	NOUN
ejpam-3028	222	24	”	"	PUNCT
ejpam-3028	222	25	respectively	respectively	ADV
ejpam-3028	222	26	.	.	PUNCT
ejpam-3028	223	1	let	let	VERB
ejpam-3028	223	2	(	(	PUNCT
ejpam-3028	223	3	f1	f1	NOUN
ejpam-3028	223	4	,	,	PUNCT
ejpam-3028	223	5	e	e	NOUN
ejpam-3028	223	6	)	)	PUNCT
ejpam-3028	223	7	,	,	PUNCT
ejpam-3028	223	8	(	(	PUNCT
ejpam-3028	223	9	f2	f2	PROPN
ejpam-3028	223	10	,	,	PUNCT
ejpam-3028	223	11	e	e	NOUN
ejpam-3028	223	12	)	)	PUNCT
ejpam-3028	223	13	,	,	PUNCT
ejpam-3028	223	14	(	(	PUNCT
ejpam-3028	223	15	f3	f3	ADJ
ejpam-3028	223	16	,	,	PUNCT
ejpam-3028	223	17	e	e	NOUN
ejpam-3028	223	18	)	)	PUNCT
ejpam-3028	223	19	,	,	PUNCT
ejpam-3028	223	20	(	(	PUNCT
ejpam-3028	223	21	f4	f4	PROPN
ejpam-3028	223	22	,	,	PUNCT
ejpam-3028	223	23	e	e	NOUN
ejpam-3028	223	24	)	)	PUNCT
ejpam-3028	223	25	,	,	PUNCT
ejpam-3028	223	26	(	(	PUNCT
ejpam-3028	223	27	f5	f5	NOUN
ejpam-3028	223	28	,	,	PUNCT
ejpam-3028	223	29	e	e	NOUN
ejpam-3028	223	30	)	)	PUNCT
ejpam-3028	223	31	,	,	PUNCT
ejpam-3028	223	32	(	(	PUNCT
ejpam-3028	223	33	f6	f6	X
ejpam-3028	223	34	,	,	PUNCT
ejpam-3028	223	35	e	e	NOUN
ejpam-3028	223	36	)	)	PUNCT
ejpam-3028	223	37	,	,	PUNCT
ejpam-3028	223	38	(	(	PUNCT
ejpam-3028	223	39	f7	f7	PROPN
ejpam-3028	223	40	,	,	PUNCT
ejpam-3028	223	41	e	e	NOUN
ejpam-3028	223	42	)	)	PUNCT
ejpam-3028	223	43	,	,	PUNCT
ejpam-3028	223	44	(	(	PUNCT
ejpam-3028	223	45	f8	f8	PROPN
ejpam-3028	223	46	,	,	PUNCT
ejpam-3028	223	47	e	e	NOUN
ejpam-3028	223	48	)	)	PUNCT
ejpam-3028	223	49	,	,	PUNCT
ejpam-3028	223	50	(	(	PUNCT
ejpam-3028	223	51	f9	f9	PROPN
ejpam-3028	223	52	,	,	PUNCT
ejpam-3028	223	53	e	e	NOUN
ejpam-3028	223	54	)	)	PUNCT
ejpam-3028	223	55	,	,	PUNCT
ejpam-3028	223	56	(	(	PUNCT
ejpam-3028	223	57	f10	f10	X
ejpam-3028	223	58	,	,	PUNCT
ejpam-3028	223	59	e	e	NOUN
ejpam-3028	223	60	)	)	PUNCT
ejpam-3028	223	61	be	be	VERB
ejpam-3028	223	62	ten	ten	NUM
ejpam-3028	223	63	soft	soft	ADJ
ejpam-3028	223	64	sets	set	NOUN
ejpam-3028	223	65	over	over	ADP
ejpam-3028	223	66	the	the	DET
ejpam-3028	223	67	common	common	ADJ
ejpam-3028	223	68	universe	universe	NOUN
ejpam-3028	223	69	x	x	PUNCT
ejpam-3028	223	70	which	which	PRON
ejpam-3028	223	71	describe	describe	VERB
ejpam-3028	223	72	the	the	DET
ejpam-3028	223	73	composition	composition	NOUN
ejpam-3028	223	74	of	of	ADP
ejpam-3028	223	75	the	the	DET
ejpam-3028	223	76	phones	phone	NOUN
ejpam-3028	223	77	defined	define	VERB
ejpam-3028	223	78	as	as	ADP
ejpam-3028	223	79	follows	follow	VERB
ejpam-3028	223	80	:	:	PUNCT
ejpam-3028	223	81	f1(e1	f1(e1	X
ejpam-3028	223	82	)	)	PUNCT
ejpam-3028	224	1	=	=	PRON
ejpam-3028	224	2	{	{	PUNCT
ejpam-3028	224	3	a	a	PRON
ejpam-3028	224	4	,	,	PUNCT
ejpam-3028	224	5	b	b	NOUN
ejpam-3028	224	6	}	}	PUNCT
ejpam-3028	224	7	,	,	PUNCT
ejpam-3028	224	8	f1(e2	f1(e2	NOUN
ejpam-3028	224	9	)	)	PUNCT
ejpam-3028	224	10	=	=	PRON
ejpam-3028	224	11	{	{	PUNCT
ejpam-3028	224	12	a	a	NOUN
ejpam-3028	224	13	}	}	PUNCT
ejpam-3028	224	14	,	,	PUNCT
ejpam-3028	224	15	f2(e1	f2(e1	NOUN
ejpam-3028	224	16	)	)	PUNCT
ejpam-3028	224	17	=	=	PUNCT
ejpam-3028	224	18	{	{	PUNCT
ejpam-3028	224	19	b	b	NOUN
ejpam-3028	224	20	}	}	PUNCT
ejpam-3028	224	21	,	,	PUNCT
ejpam-3028	224	22	f2(e2	f2(e2	NOUN
ejpam-3028	224	23	)	)	PUNCT
ejpam-3028	224	24	=	=	PUNCT
ejpam-3028	224	25	{	{	PUNCT
ejpam-3028	224	26	b	b	NOUN
ejpam-3028	224	27	}	}	PUNCT
ejpam-3028	224	28	,	,	PUNCT
ejpam-3028	224	29	f3(e1	f3(e1	NOUN
ejpam-3028	224	30	)	)	PUNCT
ejpam-3028	224	31	=	=	PRON
ejpam-3028	224	32	{	{	PUNCT
ejpam-3028	224	33	a	a	PRON
ejpam-3028	224	34	,	,	PUNCT
ejpam-3028	224	35	b	b	NOUN
ejpam-3028	224	36	}	}	PUNCT
ejpam-3028	224	37	,	,	PUNCT
ejpam-3028	224	38	f3(e2	f3(e2	PROPN
ejpam-3028	224	39	)	)	PUNCT
ejpam-3028	224	40	=	=	PRON
ejpam-3028	224	41	{	{	PUNCT
ejpam-3028	224	42	a	a	PRON
ejpam-3028	224	43	,	,	PUNCT
ejpam-3028	224	44	b	b	NOUN
ejpam-3028	224	45	}	}	PUNCT
ejpam-3028	224	46	,	,	PUNCT
ejpam-3028	224	47	f4(e1	f4(e1	NOUN
ejpam-3028	224	48	)	)	PUNCT
ejpam-3028	224	49	=	=	NOUN
ejpam-3028	224	50	{	{	PUNCT
ejpam-3028	224	51	a	a	DET
ejpam-3028	224	52	,	,	PUNCT
ejpam-3028	224	53	b	b	NOUN
ejpam-3028	224	54	,	,	PUNCT
ejpam-3028	224	55	c	c	NOUN
ejpam-3028	224	56	}	}	PUNCT
ejpam-3028	224	57	,	,	PUNCT
ejpam-3028	224	58	f4(e2	f4(e2	NUM
ejpam-3028	224	59	)	)	PUNCT
ejpam-3028	224	60	=	=	NOUN
ejpam-3028	224	61	{	{	PUNCT
ejpam-3028	224	62	a	a	DET
ejpam-3028	224	63	,	,	PUNCT
ejpam-3028	224	64	b	b	NOUN
ejpam-3028	224	65	,	,	PUNCT
ejpam-3028	224	66	c	c	NOUN
ejpam-3028	224	67	}	}	PUNCT
ejpam-3028	224	68	,	,	PUNCT
ejpam-3028	224	69	f5(e1	f5(e1	NOUN
ejpam-3028	224	70	)	)	PUNCT
ejpam-3028	224	71	=	=	NOUN
ejpam-3028	224	72	{	{	PUNCT
ejpam-3028	224	73	a	a	NOUN
ejpam-3028	224	74	}	}	PUNCT
ejpam-3028	224	75	,	,	PUNCT
ejpam-3028	224	76	f5(e2	f5(e2	NOUN
ejpam-3028	224	77	)	)	PUNCT
ejpam-3028	224	78	=	=	PUNCT
ejpam-3028	224	79	{	{	PUNCT
ejpam-3028	224	80	a	a	NOUN
ejpam-3028	224	81	}	}	PUNCT
ejpam-3028	224	82	,	,	PUNCT
ejpam-3028	224	83	f6(e1	f6(e1	ADV
ejpam-3028	224	84	)	)	PUNCT
ejpam-3028	224	85	=	=	SYM
ejpam-3028	224	86	{	{	PUNCT
ejpam-3028	224	87	a	a	PRON
ejpam-3028	224	88	,	,	PUNCT
ejpam-3028	224	89	b	b	NOUN
ejpam-3028	224	90	,	,	PUNCT
ejpam-3028	224	91	c	c	NOUN
ejpam-3028	224	92	}	}	PUNCT
ejpam-3028	224	93	,	,	PUNCT
ejpam-3028	224	94	f6(e2	f6(e2	NOUN
ejpam-3028	224	95	)	)	PUNCT
ejpam-3028	224	96	=	=	NOUN
ejpam-3028	224	97	{	{	PUNCT
ejpam-3028	224	98	a	a	X
ejpam-3028	224	99	,	,	PUNCT
ejpam-3028	224	100	c	c	NOUN
ejpam-3028	224	101	}	}	PUNCT
ejpam-3028	224	102	,	,	PUNCT
ejpam-3028	224	103	f7(e1	f7(e1	ADV
ejpam-3028	224	104	)	)	PUNCT
ejpam-3028	224	105	=	=	PUNCT
ejpam-3028	224	106	{	{	PUNCT
ejpam-3028	224	107	a	a	PRON
ejpam-3028	224	108	,	,	PUNCT
ejpam-3028	224	109	b	b	NOUN
ejpam-3028	224	110	,	,	PUNCT
ejpam-3028	224	111	d	d	NOUN
ejpam-3028	224	112	}	}	PUNCT
ejpam-3028	224	113	,	,	PUNCT
ejpam-3028	224	114	f7(e2	f7(e2	NOUN
ejpam-3028	224	115	)	)	PUNCT
ejpam-3028	224	116	=	=	PUNCT
ejpam-3028	224	117	{	{	PUNCT
ejpam-3028	224	118	a	a	DET
ejpam-3028	224	119	,	,	PUNCT
ejpam-3028	224	120	b	b	NOUN
ejpam-3028	224	121	,	,	PUNCT
ejpam-3028	224	122	c	c	NOUN
ejpam-3028	224	123	}	}	PUNCT
ejpam-3028	224	124	,	,	PUNCT
ejpam-3028	224	125	f8(e1	f8(e1	ADV
ejpam-3028	224	126	)	)	PUNCT
ejpam-3028	224	127	=	=	PRON
ejpam-3028	224	128	{	{	PUNCT
ejpam-3028	224	129	a	a	PRON
ejpam-3028	224	130	,	,	PUNCT
ejpam-3028	224	131	b	b	NOUN
ejpam-3028	224	132	}	}	PUNCT
ejpam-3028	224	133	,	,	PUNCT
ejpam-3028	224	134	f8(e2	f8(e2	NOUN
ejpam-3028	224	135	)	)	PUNCT
ejpam-3028	224	136	=	=	PUNCT
ejpam-3028	224	137	{	{	PUNCT
ejpam-3028	224	138	a	a	DET
ejpam-3028	224	139	,	,	PUNCT
ejpam-3028	224	140	b	b	NOUN
ejpam-3028	224	141	,	,	PUNCT
ejpam-3028	224	142	c	c	NOUN
ejpam-3028	224	143	}	}	PUNCT
ejpam-3028	224	144	,	,	PUNCT
ejpam-3028	224	145	f9(e1	f9(e1	NOUN
ejpam-3028	224	146	)	)	PUNCT
ejpam-3028	224	147	=	=	PRON
ejpam-3028	224	148	{	{	PUNCT
ejpam-3028	224	149	a	a	DET
ejpam-3028	224	150	,	,	PUNCT
ejpam-3028	224	151	b	b	NOUN
ejpam-3028	224	152	}	}	PUNCT
ejpam-3028	224	153	,	,	PUNCT
ejpam-3028	224	154	f9(e2	f9(e2	PROPN
ejpam-3028	224	155	)	)	PUNCT
ejpam-3028	224	156	=	=	PRON
ejpam-3028	224	157	{	{	PUNCT
ejpam-3028	224	158	a	a	X
ejpam-3028	224	159	,	,	PUNCT
ejpam-3028	224	160	c	c	NOUN
ejpam-3028	224	161	}	}	PUNCT
ejpam-3028	224	162	,	,	PUNCT
ejpam-3028	224	163	f10(e1	f10(e1	NOUN
ejpam-3028	224	164	)	)	PUNCT
ejpam-3028	225	1	=	=	SYM
ejpam-3028	225	2	x	x	SYM
ejpam-3028	225	3	,	,	PUNCT
ejpam-3028	225	4	f10(e2	f10(e2	PROPN
ejpam-3028	225	5	)	)	PUNCT
ejpam-3028	225	6	=	=	PRON
ejpam-3028	225	7	{	{	PUNCT
ejpam-3028	225	8	a	a	DET
ejpam-3028	225	9	,	,	PUNCT
ejpam-3028	225	10	b	b	NOUN
ejpam-3028	225	11	,	,	PUNCT
ejpam-3028	225	12	c	c	NOUN
ejpam-3028	225	13	}	}	PUNCT
ejpam-3028	225	14	.	.	PUNCT
ejpam-3028	226	1	hence	hence	ADV
ejpam-3028	226	2	,	,	PUNCT
ejpam-3028	226	3	µ	µ	X
ejpam-3028	226	4	=	=	SYM
ejpam-3028	226	5	{	{	PUNCT
ejpam-3028	226	6	x̃	x̃	PROPN
ejpam-3028	226	7	,	,	PUNCT
ejpam-3028	226	8	ϕ̃	ϕ̃	PROPN
ejpam-3028	226	9	,	,	PUNCT
ejpam-3028	226	10	(	(	PUNCT
ejpam-3028	226	11	f1	f1	NOUN
ejpam-3028	226	12	,	,	PUNCT
ejpam-3028	226	13	e	e	NOUN
ejpam-3028	226	14	)	)	PUNCT
ejpam-3028	226	15	,	,	PUNCT
ejpam-3028	226	16	(	(	PUNCT
ejpam-3028	226	17	f2	f2	PROPN
ejpam-3028	226	18	,	,	PUNCT
ejpam-3028	226	19	e	e	NOUN
ejpam-3028	226	20	)	)	PUNCT
ejpam-3028	226	21	,	,	PUNCT
ejpam-3028	226	22	(	(	PUNCT
ejpam-3028	226	23	f3	f3	ADJ
ejpam-3028	226	24	,	,	PUNCT
ejpam-3028	226	25	e	e	NOUN
ejpam-3028	226	26	)	)	PUNCT
ejpam-3028	226	27	,	,	PUNCT
ejpam-3028	226	28	(	(	PUNCT
ejpam-3028	226	29	f4	f4	PROPN
ejpam-3028	226	30	,	,	PUNCT
ejpam-3028	226	31	e	e	NOUN
ejpam-3028	226	32	)	)	PUNCT
ejpam-3028	226	33	,	,	PUNCT
ejpam-3028	226	34	(	(	PUNCT
ejpam-3028	226	35	f5	f5	NOUN
ejpam-3028	226	36	,	,	PUNCT
ejpam-3028	226	37	e	e	NOUN
ejpam-3028	226	38	)	)	PUNCT
ejpam-3028	226	39	,	,	PUNCT
ejpam-3028	226	40	(	(	PUNCT
ejpam-3028	226	41	f6	f6	X
ejpam-3028	226	42	,	,	PUNCT
ejpam-3028	226	43	e	e	NOUN
ejpam-3028	226	44	)	)	PUNCT
ejpam-3028	226	45	,	,	PUNCT
ejpam-3028	226	46	(	(	PUNCT
ejpam-3028	226	47	f7	f7	PROPN
ejpam-3028	226	48	,	,	PUNCT
ejpam-3028	226	49	e	e	NOUN
ejpam-3028	226	50	)	)	PUNCT
ejpam-3028	226	51	,	,	PUNCT
ejpam-3028	226	52	(	(	PUNCT
ejpam-3028	226	53	f8	f8	PROPN
ejpam-3028	226	54	,	,	PUNCT
ejpam-3028	226	55	e	e	NOUN
ejpam-3028	226	56	)	)	PUNCT
ejpam-3028	226	57	,	,	PUNCT
ejpam-3028	226	58	(	(	PUNCT
ejpam-3028	226	59	f9	f9	PROPN
ejpam-3028	226	60	,	,	PUNCT
ejpam-3028	226	61	e	e	NOUN
ejpam-3028	226	62	)	)	PUNCT
ejpam-3028	226	63	,	,	PUNCT
ejpam-3028	226	64	(	(	PUNCT
ejpam-3028	226	65	f10	f10	X
ejpam-3028	226	66	,	,	PUNCT
ejpam-3028	226	67	e	e	NOUN
ejpam-3028	226	68	)	)	PUNCT
ejpam-3028	226	69	}	}	PUNCT
ejpam-3028	226	70	is	be	AUX
ejpam-3028	226	71	a	a	DET
ejpam-3028	226	72	supra	supra	ADJ
ejpam-3028	226	73	soft	soft	ADJ
ejpam-3028	226	74	topology	topology	NOUN
ejpam-3028	226	75	over	over	ADP
ejpam-3028	226	76	x.	x.	NOUN
ejpam-3028	226	77	therefore	therefore	ADV
ejpam-3028	226	78	,	,	PUNCT
ejpam-3028	226	79	the	the	DET
ejpam-3028	226	80	soft	soft	ADJ
ejpam-3028	226	81	set	set	NOUN
ejpam-3028	226	82	(	(	PUNCT
ejpam-3028	226	83	h	h	NOUN
ejpam-3028	226	84	,	,	PUNCT
ejpam-3028	226	85	e	e	NOUN
ejpam-3028	226	86	)	)	PUNCT
ejpam-3028	226	87	is	be	AUX
ejpam-3028	226	88	a	a	DET
ejpam-3028	226	89	supra	supra	PROPN
ejpam-3028	226	90	soft	soft	ADJ
ejpam-3028	226	91	p	p	NOUN
ejpam-3028	226	92	∗-locally	∗-locally	ADV
ejpam-3028	226	93	closed	close	VERB
ejpam-3028	226	94	set	set	VERB
ejpam-3028	226	95	in	in	ADP
ejpam-3028	226	96	(	(	PUNCT
ejpam-3028	226	97	x,µ,e	x,µ,e	PROPN
ejpam-3028	226	98	)	)	PUNCT
ejpam-3028	226	99	,	,	PUNCT
ejpam-3028	226	100	where	where	SCONJ
ejpam-3028	226	101	h(e1	h(e1	NOUN
ejpam-3028	226	102	)	)	PUNCT
ejpam-3028	226	103	=	=	SYM
ejpam-3028	226	104	{	{	PUNCT
ejpam-3028	226	105	b	b	NOUN
ejpam-3028	226	106	}	}	PUNCT
ejpam-3028	226	107	,	,	PUNCT
ejpam-3028	226	108	h(e2	h(e2	PROPN
ejpam-3028	226	109	)	)	PUNCT
ejpam-3028	226	110	=	=	PRON
ejpam-3028	226	111	{	{	PUNCT
ejpam-3028	226	112	b	b	NOUN
ejpam-3028	226	113	,	,	PUNCT
ejpam-3028	226	114	c	c	NOUN
ejpam-3028	226	115	}	}	PUNCT
ejpam-3028	226	116	,	,	PUNCT
ejpam-3028	226	117	but	but	CCONJ
ejpam-3028	226	118	its	its	PRON
ejpam-3028	226	119	relative	relative	ADJ
ejpam-3028	226	120	complement	complement	NOUN
ejpam-3028	226	121	(	(	PUNCT
ejpam-3028	226	122	h	h	NOUN
ejpam-3028	226	123	,	,	PUNCT
ejpam-3028	226	124	e)c	e)c	PUNCT
ejpam-3028	226	125	is	be	AUX
ejpam-3028	226	126	not	not	PART
ejpam-3028	226	127	supra	supra	ADJ
ejpam-3028	226	128	soft	soft	ADJ
ejpam-3028	226	129	p	p	NOUN
ejpam-3028	226	130	∗-locally	∗-locally	ADV
ejpam-3028	226	131	closed	closed	ADJ
ejpam-3028	226	132	,	,	PUNCT
ejpam-3028	226	133	where	where	SCONJ
ejpam-3028	226	134	hc(e1	hc(e1	NOUN
ejpam-3028	226	135	)	)	PUNCT
ejpam-3028	227	1	=	=	PRON
ejpam-3028	227	2	{	{	PUNCT
ejpam-3028	227	3	a	a	X
ejpam-3028	227	4	,	,	PUNCT
ejpam-3028	227	5	c	c	NOUN
ejpam-3028	227	6	,	,	PUNCT
ejpam-3028	227	7	d	d	NOUN
ejpam-3028	227	8	}	}	PUNCT
ejpam-3028	227	9	,	,	PUNCT
ejpam-3028	227	10	hc(e2	hc(e2	NOUN
ejpam-3028	227	11	)	)	PUNCT
ejpam-3028	227	12	=	=	PRON
ejpam-3028	227	13	{	{	PUNCT
ejpam-3028	227	14	a	a	X
ejpam-3028	227	15	,	,	PUNCT
ejpam-3028	227	16	d	d	NOUN
ejpam-3028	227	17	}	}	PUNCT
ejpam-3028	227	18	.	.	PUNCT
ejpam-3028	228	1	(	(	PUNCT
ejpam-3028	228	2	3	3	X
ejpam-3028	228	3	)	)	PUNCT
ejpam-3028	228	4	in	in	ADP
ejpam-3028	228	5	examples	example	NOUN
ejpam-3028	228	6	3	3	NUM
ejpam-3028	228	7	(	(	PUNCT
ejpam-3028	228	8	3	3	NUM
ejpam-3028	228	9	)	)	PUNCT
ejpam-3028	228	10	,	,	PUNCT
ejpam-3028	228	11	the	the	DET
ejpam-3028	228	12	soft	soft	ADJ
ejpam-3028	228	13	set	set	NOUN
ejpam-3028	228	14	(	(	PUNCT
ejpam-3028	228	15	k	k	X
ejpam-3028	228	16	,	,	PUNCT
ejpam-3028	228	17	e	e	NOUN
ejpam-3028	228	18	)	)	PUNCT
ejpam-3028	228	19	is	be	AUX
ejpam-3028	228	20	a	a	DET
ejpam-3028	228	21	supra	supra	PROPN
ejpam-3028	228	22	soft	soft	ADJ
ejpam-3028	228	23	p	p	X
ejpam-3028	228	24	∗∗-locally	∗∗-locally	ADV
ejpam-3028	228	25	closed	close	VERB
ejpam-3028	228	26	in	in	ADP
ejpam-3028	228	27	(	(	PUNCT
ejpam-3028	228	28	x,µ,e	x,µ,e	PROPN
ejpam-3028	228	29	)	)	PUNCT
ejpam-3028	228	30	,	,	PUNCT
ejpam-3028	228	31	but	but	CCONJ
ejpam-3028	228	32	its	its	PRON
ejpam-3028	228	33	relative	relative	ADJ
ejpam-3028	228	34	complement	complement	NOUN
ejpam-3028	228	35	(	(	PUNCT
ejpam-3028	228	36	k	k	NOUN
ejpam-3028	228	37	,	,	PUNCT
ejpam-3028	228	38	e)c	e)c	PUNCT
ejpam-3028	228	39	is	be	AUX
ejpam-3028	228	40	not	not	PART
ejpam-3028	228	41	supra	supra	ADJ
ejpam-3028	228	42	soft	soft	ADJ
ejpam-3028	228	43	p	p	NOUN
ejpam-3028	228	44	-locally	-locally	ADV
ejpam-3028	228	45	closed	close	VERB
ejpam-3028	228	46	,	,	PUNCT
ejpam-3028	228	47	where	where	SCONJ
ejpam-3028	228	48	kc(e1	kc(e1	ADV
ejpam-3028	228	49	)	)	PUNCT
ejpam-3028	229	1	=	=	PUNCT
ejpam-3028	229	2	{	{	PUNCT
ejpam-3028	229	3	b	b	PROPN
ejpam-3028	229	4	,	,	PUNCT
ejpam-3028	229	5	c	c	NOUN
ejpam-3028	229	6	,	,	PUNCT
ejpam-3028	229	7	d	d	NOUN
ejpam-3028	229	8	}	}	PUNCT
ejpam-3028	229	9	,	,	PUNCT
ejpam-3028	229	10	kc(e2	kc(e2	NOUN
ejpam-3028	229	11	)	)	PUNCT
ejpam-3028	229	12	=	=	PRON
ejpam-3028	230	1	{	{	PUNCT
ejpam-3028	230	2	a	a	X
ejpam-3028	230	3	,	,	PUNCT
ejpam-3028	230	4	d	d	NOUN
ejpam-3028	230	5	}	}	PUNCT
ejpam-3028	230	6	.	.	PUNCT
ejpam-3028	231	1	in	in	ADP
ejpam-3028	231	2	a	a	DET
ejpam-3028	231	3	supra	supra	ADJ
ejpam-3028	231	4	soft	soft	ADJ
ejpam-3028	231	5	topological	topological	ADJ
ejpam-3028	231	6	space	space	NOUN
ejpam-3028	231	7	(	(	PUNCT
ejpam-3028	231	8	x,µ,e	x,µ,e	PROPN
ejpam-3028	231	9	)	)	PUNCT
ejpam-3028	231	10	,	,	PUNCT
ejpam-3028	231	11	every	every	DET
ejpam-3028	231	12	supra	supra	NOUN
ejpam-3028	231	13	a	a	PRON
ejpam-3028	231	14	-	-	PUNCT
ejpam-3028	231	15	soft	soft	ADJ
ejpam-3028	231	16	set	set	NOUN
ejpam-3028	231	17	is	be	AUX
ejpam-3028	231	18	a	a	DET
ejpam-3028	231	19	supra	supra	ADJ
ejpam-3028	231	20	soft	soft	ADJ
ejpam-3028	231	21	p	p	X
ejpam-3028	231	22	(	(	PUNCT
ejpam-3028	231	23	resp	resp	NOUN
ejpam-3028	231	24	.	.	PUNCT
ejpam-3028	232	1	p	p	X
ejpam-3028	232	2	∗and	∗and	PROPN
ejpam-3028	232	3	p	p	NOUN
ejpam-3028	232	4	∗∗-	∗∗-	NOUN
ejpam-3028	232	5	)	)	PUNCT
ejpam-3028	232	6	locally	locally	ADV
ejpam-3028	232	7	closed	close	VERB
ejpam-3028	232	8	.	.	PUNCT
ejpam-3028	233	1	proof	proof	NOUN
ejpam-3028	233	2	.	.	PUNCT
ejpam-3028	234	1	follows	follow	VERB
ejpam-3028	234	2	from	from	ADP
ejpam-3028	234	3	the	the	DET
ejpam-3028	234	4	fact	fact	NOUN
ejpam-3028	234	5	that	that	SCONJ
ejpam-3028	234	6	,	,	PUNCT
ejpam-3028	234	7	every	every	DET
ejpam-3028	234	8	supra	supra	PROPN
ejpam-3028	234	9	regular	regular	ADJ
ejpam-3028	234	10	closed	close	VERB
ejpam-3028	234	11	soft	soft	ADJ
ejpam-3028	234	12	set	set	NOUN
ejpam-3028	234	13	in	in	ADP
ejpam-3028	234	14	a	a	DET
ejpam-3028	234	15	supra	supra	ADJ
ejpam-3028	234	16	soft	soft	ADJ
ejpam-3028	234	17	topological	topological	ADJ
ejpam-3028	234	18	space	space	NOUN
ejpam-3028	234	19	(	(	PUNCT
ejpam-3028	234	20	x,µ,e	x,µ,e	PROPN
ejpam-3028	234	21	)	)	PUNCT
ejpam-3028	234	22	is	be	AUX
ejpam-3028	234	23	a	a	DET
ejpam-3028	234	24	supra	supra	NOUN
ejpam-3028	234	25	closed	close	VERB
ejpam-3028	234	26	soft	soft	ADJ
ejpam-3028	234	27	set	set	NOUN
ejpam-3028	235	1	[	[	X
ejpam-3028	235	2	[	[	X
ejpam-3028	235	3	25	25	NUM
ejpam-3028	235	4	]	]	PUNCT
ejpam-3028	235	5	,	,	PUNCT
ejpam-3028	235	6	remark	remark	VERB
ejpam-3028	235	7	3.2	3.2	NUM
ejpam-3028	235	8	]	]	PUNCT
ejpam-3028	235	9	.	.	PUNCT
ejpam-3028	236	1	f.	f.	PROPN
ejpam-3028	236	2	a.	a.	PROPN
ejpam-3028	236	3	gharib	gharib	PROPN
ejpam-3028	236	4	et	et	PROPN
ejpam-3028	236	5	al	al	PROPN
ejpam-3028	236	6	.	.	PUNCT
ejpam-3028	236	7	/	/	SYM
ejpam-3028	236	8	eur	eur	PROPN
ejpam-3028	236	9	.	.	PUNCT
ejpam-3028	237	1	j.	j.	PROPN
ejpam-3028	237	2	pure	pure	PROPN
ejpam-3028	237	3	appl	appl	PROPN
ejpam-3028	237	4	.	.	PROPN
ejpam-3028	237	5	math	math	PROPN
ejpam-3028	237	6	,	,	PUNCT
ejpam-3028	237	7	10	10	NUM
ejpam-3028	237	8	(	(	PUNCT
ejpam-3028	237	9	4	4	NUM
ejpam-3028	237	10	)	)	PUNCT
ejpam-3028	237	11	(	(	PUNCT
ejpam-3028	237	12	2017	2017	NUM
ejpam-3028	237	13	)	)	PUNCT
ejpam-3028	237	14	,	,	PUNCT
ejpam-3028	237	15	835	835	NUM
ejpam-3028	237	16	-	-	SYM
ejpam-3028	237	17	849	849	NUM
ejpam-3028	237	18	843	843	NUM
ejpam-3028	237	19	remark	remark	NOUN
ejpam-3028	237	20	7	7	NUM
ejpam-3028	237	21	.	.	PUNCT
ejpam-3028	238	1	the	the	DET
ejpam-3028	238	2	converse	converse	NOUN
ejpam-3028	238	3	of	of	ADP
ejpam-3028	238	4	the	the	DET
ejpam-3028	238	5	above	above	ADJ
ejpam-3028	238	6	theorem	theorem	NOUN
ejpam-3028	238	7	is	be	AUX
ejpam-3028	238	8	not	not	PART
ejpam-3028	238	9	true	true	ADJ
ejpam-3028	238	10	in	in	ADP
ejpam-3028	238	11	general	general	ADJ
ejpam-3028	238	12	as	as	SCONJ
ejpam-3028	238	13	shall	shall	AUX
ejpam-3028	238	14	shown	show	VERB
ejpam-3028	238	15	in	in	ADP
ejpam-3028	238	16	the	the	DET
ejpam-3028	238	17	following	follow	VERB
ejpam-3028	238	18	examples	example	NOUN
ejpam-3028	238	19	.	.	PUNCT
ejpam-3028	239	1	example	example	NOUN
ejpam-3028	240	1	4	4	NUM
ejpam-3028	240	2	.	.	X
ejpam-3028	241	1	in	in	ADP
ejpam-3028	241	2	example	example	NOUN
ejpam-3028	241	3	3	3	NUM
ejpam-3028	241	4	(	(	PUNCT
ejpam-3028	241	5	2	2	NUM
ejpam-3028	241	6	)	)	PUNCT
ejpam-3028	241	7	,	,	PUNCT
ejpam-3028	241	8	the	the	DET
ejpam-3028	241	9	soft	soft	ADJ
ejpam-3028	241	10	set	set	NOUN
ejpam-3028	241	11	(	(	PUNCT
ejpam-3028	241	12	g	g	NOUN
ejpam-3028	241	13	,	,	PUNCT
ejpam-3028	241	14	e	e	NOUN
ejpam-3028	241	15	)	)	PUNCT
ejpam-3028	241	16	is	be	AUX
ejpam-3028	241	17	supra	supra	PROPN
ejpam-3028	241	18	soft	soft	ADJ
ejpam-3028	241	19	locally	locally	ADV
ejpam-3028	241	20	closed	close	VERB
ejpam-3028	241	21	set	set	NOUN
ejpam-3028	241	22	.	.	PUNCT
ejpam-3028	242	1	since	since	SCONJ
ejpam-3028	242	2	(	(	PUNCT
ejpam-3028	242	3	g	g	NOUN
ejpam-3028	242	4	,	,	PUNCT
ejpam-3028	242	5	e	e	NOUN
ejpam-3028	242	6	)	)	PUNCT
ejpam-3028	242	7	=	=	SYM
ejpam-3028	242	8	(	(	PUNCT
ejpam-3028	242	9	f10	f10	X
ejpam-3028	242	10	,	,	PUNCT
ejpam-3028	242	11	e)∩̃(h	e)∩̃(h	PROPN
ejpam-3028	242	12	,	,	PUNCT
ejpam-3028	242	13	e	e	NOUN
ejpam-3028	242	14	)	)	PUNCT
ejpam-3028	242	15	,	,	PUNCT
ejpam-3028	242	16	where	where	SCONJ
ejpam-3028	242	17	(	(	PUNCT
ejpam-3028	242	18	f10	f10	X
ejpam-3028	242	19	,	,	PUNCT
ejpam-3028	242	20	e	e	NOUN
ejpam-3028	242	21	)	)	PUNCT
ejpam-3028	242	22	is	be	AUX
ejpam-3028	242	23	supra	supra	ADJ
ejpam-3028	242	24	open	open	ADJ
ejpam-3028	242	25	soft	soft	ADJ
ejpam-3028	242	26	and	and	CCONJ
ejpam-3028	242	27	(	(	PUNCT
ejpam-3028	242	28	h	h	NOUN
ejpam-3028	242	29	,	,	PUNCT
ejpam-3028	242	30	e	e	NOUN
ejpam-3028	242	31	)	)	PUNCT
ejpam-3028	242	32	is	be	AUX
ejpam-3028	242	33	supra	supra	PROPN
ejpam-3028	242	34	closed	close	VERB
ejpam-3028	242	35	soft	soft	ADJ
ejpam-3028	242	36	in	in	ADP
ejpam-3028	242	37	x	x	PUNCT
ejpam-3028	242	38	defined	define	VERB
ejpam-3028	242	39	by	by	ADP
ejpam-3028	242	40	h(e1	h(e1	NOUN
ejpam-3028	242	41	)	)	PUNCT
ejpam-3028	242	42	=	=	SYM
ejpam-3028	242	43	{	{	PUNCT
ejpam-3028	242	44	c	c	NOUN
ejpam-3028	242	45	,	,	PUNCT
ejpam-3028	242	46	d	d	NOUN
ejpam-3028	242	47	}	}	PUNCT
ejpam-3028	242	48	,	,	PUNCT
ejpam-3028	242	49	h(e2	h(e2	PROPN
ejpam-3028	242	50	)	)	PUNCT
ejpam-3028	242	51	=	=	PRON
ejpam-3028	242	52	{	{	PUNCT
ejpam-3028	242	53	b	b	NOUN
ejpam-3028	242	54	,	,	PUNCT
ejpam-3028	242	55	d	d	NOUN
ejpam-3028	242	56	}	}	PUNCT
ejpam-3028	242	57	.	.	PUNCT
ejpam-3028	243	1	hence	hence	ADV
ejpam-3028	243	2	,	,	PUNCT
ejpam-3028	243	3	it	it	PRON
ejpam-3028	243	4	is	be	AUX
ejpam-3028	243	5	a	a	DET
ejpam-3028	243	6	supra	supra	ADJ
ejpam-3028	243	7	soft	soft	ADJ
ejpam-3028	243	8	p	p	X
ejpam-3028	243	9	(	(	PUNCT
ejpam-3028	243	10	resp	resp	NOUN
ejpam-3028	243	11	.	.	PUNCT
ejpam-3028	244	1	p	p	X
ejpam-3028	244	2	∗and	∗and	PROPN
ejpam-3028	244	3	p	p	NOUN
ejpam-3028	244	4	∗∗-	∗∗-	NOUN
ejpam-3028	244	5	)	)	PUNCT
ejpam-3028	244	6	locally	locally	ADV
ejpam-3028	244	7	closed	close	VERB
ejpam-3028	244	8	from	from	ADP
ejpam-3028	244	9	theorem	theorem	ADJ
ejpam-3028	244	10	3	3	NUM
ejpam-3028	244	11	,	,	PUNCT
ejpam-3028	244	12	where	where	SCONJ
ejpam-3028	244	13	g(e1	g(e1	NOUN
ejpam-3028	244	14	)	)	PUNCT
ejpam-3028	244	15	=	=	PRON
ejpam-3028	245	1	{	{	PUNCT
ejpam-3028	245	2	c	c	NOUN
ejpam-3028	245	3	,	,	PUNCT
ejpam-3028	245	4	d	d	NOUN
ejpam-3028	245	5	}	}	PUNCT
ejpam-3028	245	6	,	,	PUNCT
ejpam-3028	245	7	g(e2	g(e2	NOUN
ejpam-3028	245	8	)	)	PUNCT
ejpam-3028	245	9	=	=	SYM
ejpam-3028	245	10	{	{	PUNCT
ejpam-3028	245	11	b	b	NOUN
ejpam-3028	245	12	}	}	PUNCT
ejpam-3028	245	13	.	.	PUNCT
ejpam-3028	246	1	on	on	ADP
ejpam-3028	246	2	the	the	DET
ejpam-3028	246	3	other	other	ADJ
ejpam-3028	246	4	hand	hand	NOUN
ejpam-3028	246	5	,	,	PUNCT
ejpam-3028	246	6	it	it	PRON
ejpam-3028	246	7	is	be	AUX
ejpam-3028	246	8	not	not	PART
ejpam-3028	246	9	supra	supra	ADJ
ejpam-3028	246	10	a	a	DET
ejpam-3028	246	11	-	-	PUNCT
ejpam-3028	246	12	soft	soft	ADJ
ejpam-3028	246	13	.	.	PUNCT
ejpam-3028	247	1	in	in	ADP
ejpam-3028	247	2	a	a	DET
ejpam-3028	247	3	supra	supra	ADJ
ejpam-3028	247	4	soft	soft	ADJ
ejpam-3028	247	5	topological	topological	ADJ
ejpam-3028	247	6	space	space	NOUN
ejpam-3028	247	7	(	(	PUNCT
ejpam-3028	247	8	x,µ,e	x,µ,e	PROPN
ejpam-3028	247	9	)	)	PUNCT
ejpam-3028	247	10	,	,	PUNCT
ejpam-3028	247	11	every	every	DET
ejpam-3028	247	12	supra	supra	PROPN
ejpam-3028	247	13	open	open	ADJ
ejpam-3028	247	14	(	(	PUNCT
ejpam-3028	247	15	resp	resp	NOUN
ejpam-3028	247	16	.	.	PUNCT
ejpam-3028	247	17	closed	closed	ADJ
ejpam-3028	247	18	)	)	PUNCT
ejpam-3028	247	19	soft	soft	ADJ
ejpam-3028	247	20	set	set	NOUN
ejpam-3028	247	21	is	be	AUX
ejpam-3028	247	22	a	a	DET
ejpam-3028	247	23	supra	supra	ADJ
ejpam-3028	247	24	soft	soft	ADJ
ejpam-3028	247	25	p	p	X
ejpam-3028	247	26	(	(	PUNCT
ejpam-3028	247	27	resp	resp	NOUN
ejpam-3028	247	28	.	.	PUNCT
ejpam-3028	248	1	p	p	X
ejpam-3028	248	2	∗and	∗and	PROPN
ejpam-3028	248	3	p	p	NOUN
ejpam-3028	248	4	∗∗-	∗∗-	NOUN
ejpam-3028	248	5	)	)	PUNCT
ejpam-3028	248	6	locally	locally	ADV
ejpam-3028	248	7	closed	close	VERB
ejpam-3028	248	8	in	in	ADP
ejpam-3028	248	9	x.	x.	NOUN
ejpam-3028	248	10	proof	proof	NOUN
ejpam-3028	248	11	.	.	PUNCT
ejpam-3028	249	1	obvious	obvious	ADJ
ejpam-3028	249	2	.	.	PUNCT
ejpam-3028	249	3	remark	remark	PROPN
ejpam-3028	249	4	8	8	NUM
ejpam-3028	249	5	.	.	PUNCT
ejpam-3028	250	1	the	the	DET
ejpam-3028	250	2	converse	converse	NOUN
ejpam-3028	250	3	of	of	ADP
ejpam-3028	250	4	the	the	DET
ejpam-3028	250	5	above	above	ADJ
ejpam-3028	250	6	theorem	theorem	NOUN
ejpam-3028	250	7	is	be	AUX
ejpam-3028	250	8	not	not	PART
ejpam-3028	250	9	true	true	ADJ
ejpam-3028	250	10	in	in	ADP
ejpam-3028	250	11	general	general	ADJ
ejpam-3028	250	12	as	as	SCONJ
ejpam-3028	250	13	shall	shall	AUX
ejpam-3028	250	14	shown	show	VERB
ejpam-3028	250	15	in	in	ADP
ejpam-3028	250	16	the	the	DET
ejpam-3028	250	17	following	follow	VERB
ejpam-3028	250	18	example	example	NOUN
ejpam-3028	250	19	.	.	PUNCT
ejpam-3028	251	1	example	example	NOUN
ejpam-3028	252	1	5	5	NUM
ejpam-3028	252	2	.	.	PUNCT
ejpam-3028	253	1	in	in	ADP
ejpam-3028	253	2	examples	example	NOUN
ejpam-3028	253	3	3	3	NUM
ejpam-3028	253	4	,	,	PUNCT
ejpam-3028	253	5	the	the	DET
ejpam-3028	253	6	soft	soft	ADJ
ejpam-3028	253	7	sets	set	NOUN
ejpam-3028	253	8	(	(	PUNCT
ejpam-3028	253	9	g	g	NOUN
ejpam-3028	253	10	,	,	PUNCT
ejpam-3028	253	11	e	e	NOUN
ejpam-3028	253	12	)	)	PUNCT
ejpam-3028	253	13	(	(	PUNCT
ejpam-3028	253	14	resp	resp	NOUN
ejpam-3028	253	15	.	.	PUNCT
ejpam-3028	254	1	(	(	PUNCT
ejpam-3028	254	2	h	h	NOUN
ejpam-3028	254	3	,	,	PUNCT
ejpam-3028	254	4	e	e	NOUN
ejpam-3028	254	5	)	)	PUNCT
ejpam-3028	254	6	and	and	CCONJ
ejpam-3028	254	7	(	(	PUNCT
ejpam-3028	254	8	k	k	X
ejpam-3028	254	9	,	,	PUNCT
ejpam-3028	254	10	e	e	NOUN
ejpam-3028	254	11	)	)	PUNCT
ejpam-3028	254	12	)	)	PUNCT
ejpam-3028	254	13	are	be	AUX
ejpam-3028	254	14	supra	supra	ADJ
ejpam-3028	254	15	soft	soft	ADJ
ejpam-3028	254	16	p	p	X
ejpam-3028	254	17	(	(	PUNCT
ejpam-3028	254	18	resp	resp	NOUN
ejpam-3028	254	19	.	.	PUNCT
ejpam-3028	255	1	p	p	X
ejpam-3028	255	2	∗and	∗and	PROPN
ejpam-3028	255	3	p	p	NOUN
ejpam-3028	255	4	∗∗-	∗∗-	NOUN
ejpam-3028	255	5	)	)	PUNCT
ejpam-3028	255	6	locally	locally	ADV
ejpam-3028	255	7	closed	close	VERB
ejpam-3028	255	8	in	in	ADP
ejpam-3028	255	9	(	(	PUNCT
ejpam-3028	255	10	x,µ,e	x,µ,e	PROPN
ejpam-3028	255	11	)	)	PUNCT
ejpam-3028	255	12	,	,	PUNCT
ejpam-3028	255	13	but	but	CCONJ
ejpam-3028	255	14	all	all	PRON
ejpam-3028	255	15	of	of	ADP
ejpam-3028	255	16	them	they	PRON
ejpam-3028	255	17	neither	neither	CCONJ
ejpam-3028	255	18	supra	supra	PROPN
ejpam-3028	255	19	open	open	VERB
ejpam-3028	255	20	soft	soft	ADJ
ejpam-3028	255	21	nor	nor	CCONJ
ejpam-3028	255	22	supra	supra	NOUN
ejpam-3028	255	23	closed	close	VERB
ejpam-3028	255	24	soft	soft	ADJ
ejpam-3028	255	25	in	in	ADP
ejpam-3028	255	26	(	(	PUNCT
ejpam-3028	255	27	x,µ,e	x,µ,e	PROPN
ejpam-3028	255	28	)	)	PUNCT
ejpam-3028	255	29	.	.	PUNCT
ejpam-3028	256	1	definition	definition	NOUN
ejpam-3028	256	2	16	16	NUM
ejpam-3028	256	3	.	.	PUNCT
ejpam-3028	257	1	a	a	DET
ejpam-3028	257	2	soft	soft	ADJ
ejpam-3028	257	3	subset	subset	NOUN
ejpam-3028	257	4	(	(	PUNCT
ejpam-3028	257	5	f	f	X
ejpam-3028	257	6	,	,	PUNCT
ejpam-3028	257	7	e	e	NOUN
ejpam-3028	257	8	)	)	PUNCT
ejpam-3028	257	9	of	of	ADP
ejpam-3028	257	10	a	a	DET
ejpam-3028	257	11	supra	supra	PROPN
ejpam-3028	257	12	soft	soft	ADJ
ejpam-3028	257	13	topological	topological	ADJ
ejpam-3028	257	14	space	space	NOUN
ejpam-3028	257	15	(	(	PUNCT
ejpam-3028	257	16	x,µ,e	x,µ,e	PROPN
ejpam-3028	257	17	)	)	PUNCT
ejpam-3028	257	18	is	be	AUX
ejpam-3028	257	19	called	call	VERB
ejpam-3028	257	20	supra	supra	PROPN
ejpam-3028	257	21	soft	soft	ADJ
ejpam-3028	257	22	pre	pre	ADJ
ejpam-3028	257	23	-	-	ADJ
ejpam-3028	257	24	dense	dense	ADJ
ejpam-3028	257	25	set	set	NOUN
ejpam-3028	257	26	if	if	SCONJ
ejpam-3028	257	27	clsp	clsp	ADJ
ejpam-3028	257	28	(	(	PUNCT
ejpam-3028	257	29	f	f	PROPN
ejpam-3028	257	30	,	,	PUNCT
ejpam-3028	257	31	e	e	NOUN
ejpam-3028	257	32	)	)	PUNCT
ejpam-3028	257	33	=	=	SYM
ejpam-3028	258	1	x̃.	x̃.	ADJ
ejpam-3028	258	2	proposition	proposition	NOUN
ejpam-3028	258	3	1	1	NUM
ejpam-3028	258	4	.	.	PUNCT
ejpam-3028	259	1	a	a	DET
ejpam-3028	259	2	supra	supra	PROPN
ejpam-3028	259	3	soft	soft	ADJ
ejpam-3028	259	4	pre	pre	ADJ
ejpam-3028	259	5	-	-	ADJ
ejpam-3028	259	6	dense	dense	ADJ
ejpam-3028	259	7	set	set	NOUN
ejpam-3028	259	8	(	(	PUNCT
ejpam-3028	259	9	f	f	X
ejpam-3028	259	10	,	,	PUNCT
ejpam-3028	259	11	e	e	NOUN
ejpam-3028	259	12	)	)	PUNCT
ejpam-3028	259	13	is	be	AUX
ejpam-3028	259	14	supra	supra	ADJ
ejpam-3028	259	15	pre	pre	ADJ
ejpam-3028	259	16	-	-	ADJ
ejpam-3028	259	17	open	open	ADJ
ejpam-3028	259	18	soft	soft	ADJ
ejpam-3028	259	19	in	in	ADP
ejpam-3028	259	20	(	(	PUNCT
ejpam-3028	259	21	x,µ,e	x,µ,e	PROPN
ejpam-3028	259	22	)	)	PUNCT
ejpam-3028	259	23	if	if	SCONJ
ejpam-3028	259	24	and	and	CCONJ
ejpam-3028	259	25	only	only	ADV
ejpam-3028	259	26	if	if	SCONJ
ejpam-3028	259	27	it	it	PRON
ejpam-3028	259	28	is	be	AUX
ejpam-3028	259	29	supra	supra	ADJ
ejpam-3028	259	30	soft	soft	ADJ
ejpam-3028	259	31	p	p	NOUN
ejpam-3028	259	32	-locally	-locally	ADV
ejpam-3028	259	33	closed	closed	ADJ
ejpam-3028	259	34	.	.	PUNCT
ejpam-3028	260	1	proof	proof	NOUN
ejpam-3028	260	2	.	.	PUNCT
ejpam-3028	261	1	immediate	immediate	ADJ
ejpam-3028	261	2	from	from	ADP
ejpam-3028	261	3	theorem	theorem	ADJ
ejpam-3028	261	4	3	3	NUM
ejpam-3028	261	5	and	and	CCONJ
ejpam-3028	261	6	definition	definition	NOUN
ejpam-3028	261	7	16	16	NUM
ejpam-3028	261	8	.	.	PUNCT
ejpam-3028	262	1	definition	definition	NOUN
ejpam-3028	262	2	17	17	NUM
ejpam-3028	262	3	.	.	PUNCT
ejpam-3028	263	1	a	a	DET
ejpam-3028	263	2	supra	supra	PROPN
ejpam-3028	263	3	soft	soft	ADJ
ejpam-3028	263	4	topological	topological	ADJ
ejpam-3028	263	5	space	space	NOUN
ejpam-3028	263	6	(	(	PUNCT
ejpam-3028	263	7	x,µ,e	x,µ,e	PROPN
ejpam-3028	263	8	)	)	PUNCT
ejpam-3028	263	9	is	be	AUX
ejpam-3028	263	10	called	call	VERB
ejpam-3028	263	11	supra	supra	PROPN
ejpam-3028	263	12	soft	soft	ADJ
ejpam-3028	263	13	pre	pre	ADJ
ejpam-3028	263	14	-	-	ADJ
ejpam-3028	263	15	submaximal	submaximal	ADJ
ejpam-3028	263	16	if	if	SCONJ
ejpam-3028	263	17	every	every	DET
ejpam-3028	263	18	supra	supra	PROPN
ejpam-3028	263	19	softpre	softpre	NOUN
ejpam-3028	263	20	-	-	PUNCT
ejpam-3028	263	21	dense	dense	ADJ
ejpam-3028	263	22	subset	subset	NOUN
ejpam-3028	263	23	of	of	ADP
ejpam-3028	263	24	(	(	PUNCT
ejpam-3028	263	25	x,µ,e	x,µ,e	PROPN
ejpam-3028	263	26	)	)	PUNCT
ejpam-3028	263	27	is	be	AUX
ejpam-3028	263	28	supra	supra	ADJ
ejpam-3028	263	29	pre	pre	ADJ
ejpam-3028	263	30	-	-	ADJ
ejpam-3028	263	31	open	open	ADJ
ejpam-3028	263	32	soft	soft	ADJ
ejpam-3028	263	33	.	.	PUNCT
ejpam-3028	264	1	corollary	corollary	ADJ
ejpam-3028	264	2	1	1	NUM
ejpam-3028	264	3	.	.	PUNCT
ejpam-3028	265	1	a	a	DET
ejpam-3028	265	2	supra	supra	PROPN
ejpam-3028	265	3	soft	soft	ADJ
ejpam-3028	265	4	topological	topological	ADJ
ejpam-3028	265	5	space	space	NOUN
ejpam-3028	265	6	(	(	PUNCT
ejpam-3028	265	7	x,µ,e	x,µ,e	PROPN
ejpam-3028	265	8	)	)	PUNCT
ejpam-3028	265	9	is	be	AUX
ejpam-3028	265	10	supra	supra	ADJ
ejpam-3028	265	11	soft	soft	ADJ
ejpam-3028	265	12	pre	pre	ADJ
ejpam-3028	265	13	-	-	ADJ
ejpam-3028	265	14	submaximal	submaximal	ADJ
ejpam-3028	265	15	if	if	SCONJ
ejpam-3028	266	1	and	and	CCONJ
ejpam-3028	266	2	only	only	ADV
ejpam-3028	266	3	if	if	SCONJ
ejpam-3028	266	4	every	every	DET
ejpam-3028	266	5	soft	soft	ADJ
ejpam-3028	266	6	subset	subset	NOUN
ejpam-3028	266	7	of	of	ADP
ejpam-3028	266	8	(	(	PUNCT
ejpam-3028	266	9	x,µ,e	x,µ,e	PROPN
ejpam-3028	266	10	)	)	PUNCT
ejpam-3028	266	11	is	be	AUX
ejpam-3028	266	12	supra	supra	ADJ
ejpam-3028	266	13	soft	soft	ADJ
ejpam-3028	266	14	p	p	NOUN
ejpam-3028	266	15	-locally	-locally	ADV
ejpam-3028	266	16	closed	closed	ADJ
ejpam-3028	266	17	.	.	PUNCT
ejpam-3028	267	1	proof	proof	NOUN
ejpam-3028	267	2	.	.	PUNCT
ejpam-3028	268	1	immediate	immediate	ADJ
ejpam-3028	268	2	from	from	ADP
ejpam-3028	268	3	proposition	proposition	NOUN
ejpam-3028	268	4	1	1	NUM
ejpam-3028	268	5	.	.	PUNCT
ejpam-3028	269	1	every	every	DET
ejpam-3028	269	2	supra	supra	PROPN
ejpam-3028	269	3	soft	soft	ADJ
ejpam-3028	269	4	submaximal	submaximal	ADJ
ejpam-3028	269	5	space	space	NOUN
ejpam-3028	269	6	(	(	PUNCT
ejpam-3028	269	7	x,µ,e	x,µ,e	PROPN
ejpam-3028	269	8	)	)	PUNCT
ejpam-3028	269	9	is	be	AUX
ejpam-3028	269	10	supra	supra	ADJ
ejpam-3028	269	11	soft	soft	ADJ
ejpam-3028	269	12	pre	pre	ADJ
ejpam-3028	269	13	-	-	ADJ
ejpam-3028	269	14	submaximal	submaximal	ADJ
ejpam-3028	269	15	space	space	NOUN
ejpam-3028	269	16	.	.	PUNCT
ejpam-3028	270	1	proof	proof	NOUN
ejpam-3028	270	2	.	.	PUNCT
ejpam-3028	271	1	let	let	AUX
ejpam-3028	271	2	(	(	PUNCT
ejpam-3028	271	3	x,µ,e	x,µ,e	PROPN
ejpam-3028	271	4	)	)	PUNCT
ejpam-3028	271	5	be	be	VERB
ejpam-3028	271	6	a	a	DET
ejpam-3028	271	7	supra	supra	ADJ
ejpam-3028	271	8	soft	soft	ADJ
ejpam-3028	271	9	submaximal	submaximal	ADJ
ejpam-3028	271	10	space	space	NOUN
ejpam-3028	271	11	and	and	CCONJ
ejpam-3028	271	12	(	(	PUNCT
ejpam-3028	271	13	f	f	X
ejpam-3028	271	14	,	,	PUNCT
ejpam-3028	271	15	e	e	NOUN
ejpam-3028	271	16	)	)	PUNCT
ejpam-3028	271	17	∈	∈	PROPN
ejpam-3028	271	18	µ.	µ.	NOUN
ejpam-3028	271	19	then	then	ADV
ejpam-3028	271	20	,	,	PUNCT
ejpam-3028	271	21	cls(f	cls(f	PROPN
ejpam-3028	271	22	,	,	PUNCT
ejpam-3028	271	23	e	e	NOUN
ejpam-3028	271	24	)	)	PUNCT
ejpam-3028	271	25	=	=	PUNCT
ejpam-3028	272	1	x̃.	x̃.	ADV
ejpam-3028	272	2	it	it	PRON
ejpam-3028	272	3	follows	follow	VERB
ejpam-3028	272	4	,	,	PUNCT
ejpam-3028	272	5	cls(f	cls(f	PROPN
ejpam-3028	272	6	,	,	PUNCT
ejpam-3028	272	7	e	e	NOUN
ejpam-3028	272	8	)	)	PUNCT
ejpam-3028	272	9	=	=	SYM
ejpam-3028	272	10	x̃⊆̃clsp	x̃⊆̃clsp	PROPN
ejpam-3028	272	11	(	(	PUNCT
ejpam-3028	272	12	f	f	X
ejpam-3028	272	13	,	,	PUNCT
ejpam-3028	272	14	e	e	NOUN
ejpam-3028	272	15	)	)	PUNCT
ejpam-3028	272	16	,	,	PUNCT
ejpam-3028	272	17	where	where	SCONJ
ejpam-3028	272	18	(	(	PUNCT
ejpam-3028	272	19	f	f	X
ejpam-3028	272	20	,	,	PUNCT
ejpam-3028	272	21	e	e	NOUN
ejpam-3028	272	22	)	)	PUNCT
ejpam-3028	272	23	∈	∈	PROPN
ejpam-3028	272	24	µ	µ	ADJ
ejpam-3028	272	25	⊆	⊆	NUM
ejpam-3028	272	26	supra	supra	NOUN
ejpam-3028	272	27	-	-	PUNCT
ejpam-3028	272	28	pos(x	pos(x	PROPN
ejpam-3028	272	29	)	)	PUNCT
ejpam-3028	272	30	.	.	PUNCT
ejpam-3028	273	1	hence	hence	ADV
ejpam-3028	273	2	,	,	PUNCT
ejpam-3028	273	3	(	(	PUNCT
ejpam-3028	273	4	x,µ,e	x,µ,e	PROPN
ejpam-3028	273	5	)	)	PUNCT
ejpam-3028	273	6	is	be	AUX
ejpam-3028	273	7	a	a	DET
ejpam-3028	273	8	supra	supra	ADJ
ejpam-3028	273	9	soft	soft	ADJ
ejpam-3028	273	10	pre	pre	ADJ
ejpam-3028	273	11	-	-	ADJ
ejpam-3028	273	12	submaximal	submaximal	ADJ
ejpam-3028	273	13	space	space	NOUN
ejpam-3028	273	14	.	.	PUNCT
ejpam-3028	274	1	remark	remark	NOUN
ejpam-3028	274	2	9	9	NUM
ejpam-3028	274	3	.	.	PUNCT
ejpam-3028	275	1	the	the	DET
ejpam-3028	275	2	converse	converse	NOUN
ejpam-3028	275	3	of	of	ADP
ejpam-3028	275	4	theorem	theorem	NOUN
ejpam-3028	275	5	3	3	NUM
ejpam-3028	275	6	is	be	AUX
ejpam-3028	275	7	not	not	PART
ejpam-3028	275	8	true	true	ADJ
ejpam-3028	275	9	in	in	ADP
ejpam-3028	275	10	general	general	ADJ
ejpam-3028	275	11	as	as	SCONJ
ejpam-3028	275	12	shall	shall	AUX
ejpam-3028	275	13	shown	show	VERB
ejpam-3028	275	14	in	in	ADP
ejpam-3028	275	15	the	the	DET
ejpam-3028	275	16	following	follow	VERB
ejpam-3028	275	17	example	example	NOUN
ejpam-3028	275	18	.	.	PUNCT
ejpam-3028	276	1	example	example	NOUN
ejpam-3028	277	1	6	6	NUM
ejpam-3028	277	2	.	.	PUNCT
ejpam-3028	277	3	suppose	suppose	VERB
ejpam-3028	277	4	that	that	SCONJ
ejpam-3028	277	5	there	there	PRON
ejpam-3028	277	6	are	be	VERB
ejpam-3028	277	7	four	four	NUM
ejpam-3028	277	8	watches	watch	NOUN
ejpam-3028	277	9	in	in	ADP
ejpam-3028	277	10	the	the	DET
ejpam-3028	277	11	universe	universe	NOUN
ejpam-3028	277	12	x	x	PUNCT
ejpam-3028	277	13	given	give	VERB
ejpam-3028	277	14	by	by	ADP
ejpam-3028	277	15	x	x	X
ejpam-3028	277	16	=	=	X
ejpam-3028	277	17	{	{	PUNCT
ejpam-3028	277	18	a	a	PRON
ejpam-3028	277	19	,	,	PUNCT
ejpam-3028	277	20	b	b	NOUN
ejpam-3028	277	21	,	,	PUNCT
ejpam-3028	277	22	c	c	NOUN
ejpam-3028	277	23	,	,	PUNCT
ejpam-3028	277	24	d	d	NOUN
ejpam-3028	277	25	}	}	PUNCT
ejpam-3028	277	26	.	.	PUNCT
ejpam-3028	278	1	let	let	VERB
ejpam-3028	278	2	e	e	NOUN
ejpam-3028	278	3	=	=	PRON
ejpam-3028	278	4	{	{	PUNCT
ejpam-3028	278	5	e1	e1	PROPN
ejpam-3028	278	6	,	,	PUNCT
ejpam-3028	278	7	e2	e2	PROPN
ejpam-3028	278	8	}	}	PUNCT
ejpam-3028	278	9	be	be	VERB
ejpam-3028	278	10	the	the	DET
ejpam-3028	278	11	set	set	NOUN
ejpam-3028	278	12	of	of	ADP
ejpam-3028	278	13	decision	decision	NOUN
ejpam-3028	278	14	parameters	parameter	NOUN
ejpam-3028	278	15	which	which	PRON
ejpam-3028	278	16	stand	stand	VERB
ejpam-3028	278	17	for	for	ADP
ejpam-3028	278	18	”	"	PUNCT
ejpam-3028	278	19	model	model	NOUN
ejpam-3028	278	20	”	"	PUNCT
ejpam-3028	278	21	and	and	CCONJ
ejpam-3028	278	22	”	"	PUNCT
ejpam-3028	278	23	cheap	cheap	ADJ
ejpam-3028	278	24	”	"	PUNCT
ejpam-3028	278	25	respectively	respectively	ADV
ejpam-3028	278	26	.	.	PUNCT
ejpam-3028	279	1	let	let	VERB
ejpam-3028	279	2	(	(	PUNCT
ejpam-3028	279	3	f1	f1	NOUN
ejpam-3028	279	4	,	,	PUNCT
ejpam-3028	279	5	e	e	NOUN
ejpam-3028	279	6	)	)	PUNCT
ejpam-3028	279	7	,	,	PUNCT
ejpam-3028	279	8	(	(	PUNCT
ejpam-3028	279	9	f2	f2	PROPN
ejpam-3028	279	10	,	,	PUNCT
ejpam-3028	279	11	e	e	NOUN
ejpam-3028	279	12	)	)	PUNCT
ejpam-3028	279	13	,	,	PUNCT
ejpam-3028	279	14	(	(	PUNCT
ejpam-3028	279	15	f3	f3	ADJ
ejpam-3028	279	16	,	,	PUNCT
ejpam-3028	279	17	e	e	NOUN
ejpam-3028	279	18	)	)	PUNCT
ejpam-3028	279	19	,	,	PUNCT
ejpam-3028	279	20	(	(	PUNCT
ejpam-3028	279	21	f4	f4	PROPN
ejpam-3028	279	22	,	,	PUNCT
ejpam-3028	279	23	e	e	NOUN
ejpam-3028	279	24	)	)	PUNCT
ejpam-3028	279	25	,	,	PUNCT
ejpam-3028	279	26	(	(	PUNCT
ejpam-3028	279	27	f5	f5	NOUN
ejpam-3028	279	28	,	,	PUNCT
ejpam-3028	279	29	e	e	NOUN
ejpam-3028	279	30	)	)	PUNCT
ejpam-3028	279	31	be	be	VERB
ejpam-3028	279	32	four	four	NUM
ejpam-3028	279	33	soft	soft	ADJ
ejpam-3028	279	34	sets	set	NOUN
ejpam-3028	279	35	over	over	ADP
ejpam-3028	279	36	the	the	DET
ejpam-3028	279	37	common	common	ADJ
ejpam-3028	279	38	universe	universe	NOUN
ejpam-3028	279	39	x	x	PUNCT
ejpam-3028	279	40	which	which	PRON
ejpam-3028	279	41	describe	describe	VERB
ejpam-3028	279	42	the	the	DET
ejpam-3028	279	43	composition	composition	NOUN
ejpam-3028	279	44	of	of	ADP
ejpam-3028	279	45	the	the	DET
ejpam-3028	279	46	watches	watch	NOUN
ejpam-3028	279	47	defined	define	VERB
ejpam-3028	279	48	as	as	ADP
ejpam-3028	279	49	follows	follow	VERB
ejpam-3028	279	50	:	:	PUNCT
ejpam-3028	280	1	f.	f.	PROPN
ejpam-3028	280	2	a.	a.	PROPN
ejpam-3028	280	3	gharib	gharib	PROPN
ejpam-3028	280	4	et	et	PROPN
ejpam-3028	280	5	al	al	PROPN
ejpam-3028	280	6	.	.	PUNCT
ejpam-3028	280	7	/	/	SYM
ejpam-3028	280	8	eur	eur	PROPN
ejpam-3028	280	9	.	.	PUNCT
ejpam-3028	281	1	j.	j.	PROPN
ejpam-3028	281	2	pure	pure	PROPN
ejpam-3028	281	3	appl	appl	PROPN
ejpam-3028	281	4	.	.	PROPN
ejpam-3028	281	5	math	math	PROPN
ejpam-3028	281	6	,	,	PUNCT
ejpam-3028	281	7	10	10	NUM
ejpam-3028	281	8	(	(	PUNCT
ejpam-3028	281	9	4	4	NUM
ejpam-3028	281	10	)	)	PUNCT
ejpam-3028	281	11	(	(	PUNCT
ejpam-3028	281	12	2017	2017	NUM
ejpam-3028	281	13	)	)	PUNCT
ejpam-3028	281	14	,	,	PUNCT
ejpam-3028	281	15	835	835	NUM
ejpam-3028	281	16	-	-	SYM
ejpam-3028	281	17	849	849	NUM
ejpam-3028	281	18	844	844	NUM
ejpam-3028	281	19	f1(e1	f1(e1	NOUN
ejpam-3028	281	20	)	)	PUNCT
ejpam-3028	282	1	=	=	PRON
ejpam-3028	282	2	{	{	PUNCT
ejpam-3028	282	3	a	a	PRON
ejpam-3028	282	4	,	,	PUNCT
ejpam-3028	282	5	b	b	NOUN
ejpam-3028	282	6	}	}	PUNCT
ejpam-3028	282	7	,	,	PUNCT
ejpam-3028	282	8	f1(e2	f1(e2	NOUN
ejpam-3028	282	9	)	)	PUNCT
ejpam-3028	282	10	=	=	PRON
ejpam-3028	282	11	{	{	PUNCT
ejpam-3028	282	12	a	a	NOUN
ejpam-3028	282	13	}	}	PUNCT
ejpam-3028	282	14	,	,	PUNCT
ejpam-3028	282	15	f2(e1	f2(e1	NOUN
ejpam-3028	282	16	)	)	PUNCT
ejpam-3028	282	17	=	=	PUNCT
ejpam-3028	282	18	{	{	PUNCT
ejpam-3028	282	19	b	b	NOUN
ejpam-3028	282	20	,	,	PUNCT
ejpam-3028	282	21	d	d	NOUN
ejpam-3028	282	22	}	}	PUNCT
ejpam-3028	282	23	,	,	PUNCT
ejpam-3028	282	24	f2(e2	f2(e2	NOUN
ejpam-3028	282	25	)	)	PUNCT
ejpam-3028	282	26	=	=	PUNCT
ejpam-3028	282	27	{	{	PUNCT
ejpam-3028	282	28	b	b	NOUN
ejpam-3028	282	29	,	,	PUNCT
ejpam-3028	282	30	d	d	NOUN
ejpam-3028	282	31	}	}	PUNCT
ejpam-3028	282	32	,	,	PUNCT
ejpam-3028	282	33	f3(e1	f3(e1	NOUN
ejpam-3028	282	34	)	)	PUNCT
ejpam-3028	282	35	=	=	PRON
ejpam-3028	282	36	{	{	PUNCT
ejpam-3028	282	37	a	a	X
ejpam-3028	282	38	,	,	PUNCT
ejpam-3028	282	39	c	c	NOUN
ejpam-3028	282	40	,	,	PUNCT
ejpam-3028	282	41	d	d	NOUN
ejpam-3028	282	42	}	}	PUNCT
ejpam-3028	282	43	,	,	PUNCT
ejpam-3028	282	44	f3(e2	f3(e2	PROPN
ejpam-3028	282	45	)	)	PUNCT
ejpam-3028	282	46	=	=	SYM
ejpam-3028	283	1	x	x	NOUN
ejpam-3028	283	2	,	,	PUNCT
ejpam-3028	283	3	f4(e1	f4(e1	NOUN
ejpam-3028	283	4	)	)	PUNCT
ejpam-3028	283	5	=	=	NOUN
ejpam-3028	283	6	{	{	PUNCT
ejpam-3028	283	7	a	a	PRON
ejpam-3028	283	8	,	,	PUNCT
ejpam-3028	283	9	b	b	NOUN
ejpam-3028	283	10	,	,	PUNCT
ejpam-3028	283	11	d	d	NOUN
ejpam-3028	283	12	}	}	PUNCT
ejpam-3028	283	13	,	,	PUNCT
ejpam-3028	283	14	f4(e2	f4(e2	NUM
ejpam-3028	283	15	)	)	PUNCT
ejpam-3028	283	16	=	=	NOUN
ejpam-3028	283	17	{	{	PUNCT
ejpam-3028	283	18	a	a	PRON
ejpam-3028	283	19	,	,	PUNCT
ejpam-3028	283	20	b	b	NOUN
ejpam-3028	283	21	,	,	PUNCT
ejpam-3028	283	22	d	d	NOUN
ejpam-3028	283	23	}	}	PUNCT
ejpam-3028	283	24	.	.	PUNCT
ejpam-3028	284	1	hence	hence	ADV
ejpam-3028	284	2	,	,	PUNCT
ejpam-3028	284	3	µ	µ	X
ejpam-3028	284	4	=	=	SYM
ejpam-3028	284	5	{	{	PUNCT
ejpam-3028	284	6	x̃	x̃	PROPN
ejpam-3028	284	7	,	,	PUNCT
ejpam-3028	284	8	ϕ̃	ϕ̃	PROPN
ejpam-3028	284	9	,	,	PUNCT
ejpam-3028	284	10	(	(	PUNCT
ejpam-3028	284	11	f1	f1	NOUN
ejpam-3028	284	12	,	,	PUNCT
ejpam-3028	284	13	e	e	NOUN
ejpam-3028	284	14	)	)	PUNCT
ejpam-3028	284	15	,	,	PUNCT
ejpam-3028	284	16	(	(	PUNCT
ejpam-3028	284	17	f2	f2	PROPN
ejpam-3028	284	18	,	,	PUNCT
ejpam-3028	284	19	e	e	NOUN
ejpam-3028	284	20	)	)	PUNCT
ejpam-3028	284	21	,	,	PUNCT
ejpam-3028	284	22	(	(	PUNCT
ejpam-3028	284	23	f3	f3	ADJ
ejpam-3028	284	24	,	,	PUNCT
ejpam-3028	284	25	e	e	NOUN
ejpam-3028	284	26	)	)	PUNCT
ejpam-3028	284	27	,	,	PUNCT
ejpam-3028	284	28	(	(	PUNCT
ejpam-3028	284	29	f4	f4	PROPN
ejpam-3028	284	30	,	,	PUNCT
ejpam-3028	284	31	e	e	NOUN
ejpam-3028	284	32	)	)	PUNCT
ejpam-3028	284	33	}	}	PUNCT
ejpam-3028	284	34	is	be	AUX
ejpam-3028	284	35	a	a	DET
ejpam-3028	284	36	supra	supra	ADJ
ejpam-3028	284	37	soft	soft	ADJ
ejpam-3028	284	38	topology	topology	NOUN
ejpam-3028	284	39	over	over	ADP
ejpam-3028	284	40	x	x	NOUN
ejpam-3028	284	41	,	,	PUNCT
ejpam-3028	284	42	which	which	PRON
ejpam-3028	284	43	is	be	AUX
ejpam-3028	284	44	a	a	DET
ejpam-3028	284	45	supra	supra	ADJ
ejpam-3028	284	46	soft	soft	ADJ
ejpam-3028	284	47	pre	pre	ADJ
ejpam-3028	284	48	-	-	ADJ
ejpam-3028	284	49	submaximal	submaximal	ADJ
ejpam-3028	284	50	space	space	NOUN
ejpam-3028	284	51	.	.	PUNCT
ejpam-3028	285	1	on	on	ADP
ejpam-3028	285	2	the	the	DET
ejpam-3028	285	3	other	other	ADJ
ejpam-3028	285	4	hand	hand	NOUN
ejpam-3028	285	5	,	,	PUNCT
ejpam-3028	285	6	the	the	DET
ejpam-3028	285	7	soft	soft	ADJ
ejpam-3028	285	8	set	set	NOUN
ejpam-3028	285	9	g	g	NOUN
ejpam-3028	285	10	,	,	PUNCT
ejpam-3028	285	11	e	e	NOUN
ejpam-3028	285	12	,	,	PUNCT
ejpam-3028	285	13	where	where	SCONJ
ejpam-3028	285	14	g(e1	g(e1	NOUN
ejpam-3028	285	15	)	)	PUNCT
ejpam-3028	285	16	=	=	PRON
ejpam-3028	285	17	{	{	PUNCT
ejpam-3028	285	18	a	a	X
ejpam-3028	285	19	,	,	PUNCT
ejpam-3028	285	20	c	c	NOUN
ejpam-3028	285	21	,	,	PUNCT
ejpam-3028	285	22	d	d	NOUN
ejpam-3028	285	23	}	}	PUNCT
ejpam-3028	285	24	,	,	PUNCT
ejpam-3028	285	25	g(e2	g(e2	NOUN
ejpam-3028	285	26	)	)	PUNCT
ejpam-3028	285	27	=	=	SYM
ejpam-3028	285	28	{	{	PUNCT
ejpam-3028	285	29	a	a	PRON
ejpam-3028	285	30	,	,	PUNCT
ejpam-3028	285	31	b	b	NOUN
ejpam-3028	285	32	,	,	PUNCT
ejpam-3028	285	33	c	c	NOUN
ejpam-3028	285	34	}	}	PUNCT
ejpam-3028	285	35	is	be	AUX
ejpam-3028	285	36	supra	supra	ADJ
ejpam-3028	285	37	soft	soft	ADJ
ejpam-3028	285	38	dense	dense	ADJ
ejpam-3028	285	39	set	set	NOUN
ejpam-3028	285	40	but	but	CCONJ
ejpam-3028	285	41	not	not	PART
ejpam-3028	285	42	supra	supra	NOUN
ejpam-3028	285	43	open	open	ADJ
ejpam-3028	285	44	soft	soft	ADJ
ejpam-3028	285	45	in	in	ADP
ejpam-3028	285	46	x.	x.	NOUN
ejpam-3028	285	47	hence	hence	ADV
ejpam-3028	285	48	,	,	PUNCT
ejpam-3028	285	49	(	(	PUNCT
ejpam-3028	285	50	x,µ,e	x,µ,e	PROPN
ejpam-3028	285	51	)	)	PUNCT
ejpam-3028	285	52	is	be	AUX
ejpam-3028	285	53	not	not	PART
ejpam-3028	285	54	supra	supra	ADJ
ejpam-3028	285	55	soft	soft	ADJ
ejpam-3028	285	56	submaximal	submaximal	ADJ
ejpam-3028	285	57	space	space	NOUN
ejpam-3028	285	58	.	.	PUNCT
ejpam-3028	286	1	for	for	ADP
ejpam-3028	286	2	a	a	DET
ejpam-3028	286	3	supra	supra	PROPN
ejpam-3028	286	4	soft	soft	ADJ
ejpam-3028	286	5	topological	topological	ADJ
ejpam-3028	286	6	space	space	NOUN
ejpam-3028	286	7	(	(	PUNCT
ejpam-3028	286	8	x,µ,e	x,µ,e	PROPN
ejpam-3028	286	9	)	)	PUNCT
ejpam-3028	286	10	we	we	PRON
ejpam-3028	286	11	have	have	VERB
ejpam-3028	286	12	the	the	DET
ejpam-3028	286	13	following	follow	VERB
ejpam-3028	286	14	implications	implication	NOUN
ejpam-3028	286	15	from	from	ADP
ejpam-3028	286	16	theorems	theorem	NOUN
ejpam-3028	286	17	3	3	NUM
ejpam-3028	286	18	,	,	PUNCT
ejpam-3028	286	19	3	3	NUM
ejpam-3028	286	20	,	,	PUNCT
ejpam-3028	286	21	3	3	NUM
ejpam-3028	286	22	,	,	PUNCT
ejpam-3028	286	23	3	3	NUM
ejpam-3028	286	24	and	and	CCONJ
ejpam-3028	287	1	[	[	X
ejpam-3028	287	2	[	[	X
ejpam-3028	287	3	3	3	NUM
ejpam-3028	287	4	]	]	PUNCT
ejpam-3028	287	5	,	,	PUNCT
ejpam-3028	287	6	corollary	corollary	ADJ
ejpam-3028	287	7	4.1	4.1	NUM
ejpam-3028	287	8	]	]	PUNCT
ejpam-3028	287	9	.	.	PUNCT
ejpam-3028	288	1	these	these	DET
ejpam-3028	288	2	implications	implication	NOUN
ejpam-3028	288	3	are	be	AUX
ejpam-3028	288	4	not	not	PART
ejpam-3028	288	5	reversible	reversible	ADJ
ejpam-3028	288	6	.	.	PUNCT
ejpam-3028	289	1	supra	supra	ADJ
ejpam-3028	289	2	-	-	PUNCT
ejpam-3028	289	3	splc(x	splc(x	NOUN
ejpam-3028	289	4	)	)	PUNCT
ejpam-3028	289	5	←	←	PROPN
ejpam-3028	289	6	supra	supra	PROPN
ejpam-3028	289	7	-	-	PUNCT
ejpam-3028	289	8	sp	sp	NOUN
ejpam-3028	289	9	∗lc(x	∗lc(x	NOUN
ejpam-3028	289	10	)	)	PUNCT
ejpam-3028	289	11	˚	˚	PROPN
ejpam-3028	289	12	↑	↑	PROPN
ejpam-3028	289	13	↑	↑	PROPN
ejpam-3028	289	14	supra	supra	PROPN
ejpam-3028	289	15	-	-	PUNCT
ejpam-3028	289	16	sp	sp	VERB
ejpam-3028	289	17	∗∗lc(x)←	∗∗lc(x)←	ADJ
ejpam-3028	289	18	supra	supra	NOUN
ejpam-3028	289	19	-	-	PUNCT
ejpam-3028	289	20	slc(x	slc(x	NOUN
ejpam-3028	289	21	)	)	PUNCT
ejpam-3028	289	22	←−	←−	PROPN
ejpam-3028	289	23	supra	supra	NOUN
ejpam-3028	289	24	-	-	PUNCT
ejpam-3028	289	25	as(x	as(x	NOUN
ejpam-3028	289	26	)	)	PUNCT
ejpam-3028	289	27	˚	˚	PROPN
ejpam-3028	289	28	↑	↑	PROPN
ejpam-3028	289	29	↗	↗	PROPN
ejpam-3028	289	30	↖	↖	PROPN
ejpam-3028	289	31	↘	↘	PROPN
ejpam-3028	289	32	↓	↓	PROPN
ejpam-3028	289	33	supra	supra	PROPN
ejpam-3028	289	34	-	-	PUNCT
ejpam-3028	289	35	os(x	os(x	NUM
ejpam-3028	289	36	)	)	PUNCT
ejpam-3028	289	37	−→	−→	ADJ
ejpam-3028	289	38	supra	supra	NOUN
ejpam-3028	289	39	-	-	PUNCT
ejpam-3028	289	40	αos(x	αos(x	NOUN
ejpam-3028	289	41	)	)	PUNCT
ejpam-3028	289	42	−→	−→	ADJ
ejpam-3028	289	43	supra	supra	PROPN
ejpam-3028	289	44	-	-	PUNCT
ejpam-3028	289	45	sos(x	sos(x	PROPN
ejpam-3028	289	46	)	)	PUNCT
ejpam-3028	289	47	˚	˚	PROPN
ejpam-3028	289	48	↓	↓	PROPN
ejpam-3028	289	49	↙	↙	PROPN
ejpam-3028	289	50	supra	supra	PROPN
ejpam-3028	289	51	-	-	PUNCT
ejpam-3028	289	52	pos(x	pos(x	PROPN
ejpam-3028	289	53	)	)	PUNCT
ejpam-3028	289	54	−→	−→	ADJ
ejpam-3028	289	55	supra	supra	NOUN
ejpam-3028	289	56	-	-	PUNCT
ejpam-3028	289	57	bos(x	bos(x	NOUN
ejpam-3028	289	58	)	)	PUNCT
ejpam-3028	289	59	4	4	NUM
ejpam-3028	289	60	.	.	PUNCT
ejpam-3028	290	1	decompositions	decomposition	NOUN
ejpam-3028	290	2	of	of	ADP
ejpam-3028	290	3	supra	supra	ADJ
ejpam-3028	290	4	soft	soft	ADJ
ejpam-3028	290	5	continuity	continuity	NOUN
ejpam-3028	290	6	via	via	ADP
ejpam-3028	290	7	supra	supra	PROPN
ejpam-3028	290	8	pre	pre	ADJ
ejpam-3028	290	9	-	-	ADJ
ejpam-3028	290	10	open	open	ADJ
ejpam-3028	290	11	soft	soft	ADJ
ejpam-3028	290	12	sets	set	NOUN
ejpam-3028	290	13	in	in	ADP
ejpam-3028	290	14	this	this	DET
ejpam-3028	290	15	section	section	NOUN
ejpam-3028	290	16	,	,	PUNCT
ejpam-3028	290	17	we	we	PRON
ejpam-3028	290	18	introduce	introduce	VERB
ejpam-3028	290	19	three	three	NUM
ejpam-3028	290	20	different	different	ADJ
ejpam-3028	290	21	notions	notion	NOUN
ejpam-3028	290	22	of	of	ADP
ejpam-3028	290	23	generalized	generalized	ADJ
ejpam-3028	290	24	supra	supra	ADJ
ejpam-3028	290	25	soft	soft	ADJ
ejpam-3028	290	26	continuity	continuity	NOUN
ejpam-3028	290	27	,	,	PUNCT
ejpam-3028	290	28	namely	namely	ADV
ejpam-3028	290	29	supra	supra	PROPN
ejpam-3028	290	30	splc	splc	ADJ
ejpam-3028	290	31	-	-	ADJ
ejpam-3028	290	32	continuous	continuous	ADJ
ejpam-3028	290	33	functions	function	NOUN
ejpam-3028	290	34	,	,	PUNCT
ejpam-3028	290	35	supra	supra	NOUN
ejpam-3028	290	36	sp	sp	ADP
ejpam-3028	290	37	∗lc	∗lc	ADJ
ejpam-3028	290	38	-	-	PUNCT
ejpam-3028	290	39	continuous	continuous	ADJ
ejpam-3028	290	40	functions	function	NOUN
ejpam-3028	290	41	and	and	CCONJ
ejpam-3028	290	42	supra	supra	NOUN
ejpam-3028	290	43	sp	sp	ADP
ejpam-3028	290	44	∗∗lc	∗∗lc	NOUN
ejpam-3028	290	45	-	-	PUNCT
ejpam-3028	290	46	continuous	continuous	ADJ
ejpam-3028	290	47	functions	function	NOUN
ejpam-3028	290	48	.	.	PUNCT
ejpam-3028	291	1	furthermore	furthermore	ADV
ejpam-3028	291	2	,	,	PUNCT
ejpam-3028	291	3	we	we	PRON
ejpam-3028	291	4	obtain	obtain	VERB
ejpam-3028	291	5	decompositions	decomposition	NOUN
ejpam-3028	291	6	of	of	ADP
ejpam-3028	291	7	supra	supra	ADJ
ejpam-3028	291	8	soft	soft	ADJ
ejpam-3028	291	9	continuity	continuity	NOUN
ejpam-3028	291	10	.	.	PUNCT
ejpam-3028	292	1	finally	finally	ADV
ejpam-3028	292	2	,	,	PUNCT
ejpam-3028	292	3	several	several	ADJ
ejpam-3028	292	4	examples	example	NOUN
ejpam-3028	292	5	are	be	AUX
ejpam-3028	292	6	provided	provide	VERB
ejpam-3028	292	7	to	to	PART
ejpam-3028	292	8	illustrate	illustrate	VERB
ejpam-3028	292	9	the	the	DET
ejpam-3028	292	10	behavior	behavior	NOUN
ejpam-3028	292	11	of	of	ADP
ejpam-3028	292	12	these	these	DET
ejpam-3028	292	13	new	new	ADJ
ejpam-3028	292	14	classes	class	NOUN
ejpam-3028	292	15	of	of	ADP
ejpam-3028	292	16	soft	soft	ADJ
ejpam-3028	292	17	functions	function	NOUN
ejpam-3028	292	18	.	.	PUNCT
ejpam-3028	293	1	definition	definition	NOUN
ejpam-3028	293	2	18	18	NUM
ejpam-3028	293	3	.	.	PUNCT
ejpam-3028	294	1	let	let	AUX
ejpam-3028	294	2	(	(	PUNCT
ejpam-3028	294	3	x	x	NOUN
ejpam-3028	294	4	,	,	PUNCT
ejpam-3028	294	5	τ1	τ1	PROPN
ejpam-3028	294	6	,	,	PUNCT
ejpam-3028	294	7	a	a	PRON
ejpam-3028	294	8	)	)	PUNCT
ejpam-3028	294	9	and	and	CCONJ
ejpam-3028	294	10	(	(	PUNCT
ejpam-3028	294	11	y	y	PROPN
ejpam-3028	294	12	,	,	PUNCT
ejpam-3028	294	13	τ2	τ2	PROPN
ejpam-3028	294	14	,	,	PUNCT
ejpam-3028	294	15	b	b	NOUN
ejpam-3028	294	16	)	)	PUNCT
ejpam-3028	294	17	be	be	AUX
ejpam-3028	294	18	soft	soft	ADJ
ejpam-3028	294	19	topological	topological	ADJ
ejpam-3028	294	20	spaces	space	NOUN
ejpam-3028	294	21	.	.	PUNCT
ejpam-3028	295	1	let	let	VERB
ejpam-3028	295	2	µ1	µ1	PROPN
ejpam-3028	295	3	be	be	AUX
ejpam-3028	295	4	an	an	DET
ejpam-3028	295	5	associated	associated	ADJ
ejpam-3028	295	6	supra	supra	PROPN
ejpam-3028	295	7	soft	soft	ADJ
ejpam-3028	295	8	topology	topology	NOUN
ejpam-3028	295	9	with	with	ADP
ejpam-3028	295	10	τ1	τ1	NOUN
ejpam-3028	295	11	.	.	PUNCT
ejpam-3028	296	1	let	let	VERB
ejpam-3028	296	2	u	u	PRON
ejpam-3028	296	3	:	:	PUNCT
ejpam-3028	296	4	x	x	SYM
ejpam-3028	296	5	→	→	SYM
ejpam-3028	296	6	y	y	PROPN
ejpam-3028	296	7	and	and	CCONJ
ejpam-3028	296	8	p	p	X
ejpam-3028	296	9	:	:	PUNCT
ejpam-3028	296	10	a	a	DET
ejpam-3028	296	11	→	→	SYM
ejpam-3028	296	12	b	b	NOUN
ejpam-3028	296	13	be	be	AUX
ejpam-3028	296	14	mappings	mapping	NOUN
ejpam-3028	296	15	.	.	PUNCT
ejpam-3028	297	1	let	let	AUX
ejpam-3028	297	2	fpu	fpu	PROPN
ejpam-3028	297	3	:	:	PUNCT
ejpam-3028	297	4	ss(x)a	ss(x)a	PROPN
ejpam-3028	297	5	→	→	SYM
ejpam-3028	297	6	ss(y	ss(y	NUM
ejpam-3028	297	7	)	)	PUNCT
ejpam-3028	297	8	b	b	X
ejpam-3028	297	9	be	be	AUX
ejpam-3028	297	10	a	a	DET
ejpam-3028	297	11	function	function	NOUN
ejpam-3028	297	12	.	.	PUNCT
ejpam-3028	298	1	then	then	ADV
ejpam-3028	298	2	,	,	PUNCT
ejpam-3028	298	3	fpu	fpu	PROPN
ejpam-3028	298	4	is	be	AUX
ejpam-3028	298	5	called	call	VERB
ejpam-3028	298	6	:	:	PUNCT
ejpam-3028	298	7	(	(	PUNCT
ejpam-3028	298	8	1	1	X
ejpam-3028	298	9	)	)	PUNCT
ejpam-3028	298	10	supra	supra	NOUN
ejpam-3028	298	11	soft	soft	ADJ
ejpam-3028	298	12	pre	pre	ADJ
ejpam-3028	298	13	-	-	ADJ
ejpam-3028	298	14	locally	locally	ADV
ejpam-3028	298	15	closed	closed	ADJ
ejpam-3028	298	16	continuous	continuous	ADJ
ejpam-3028	298	17	function	function	NOUN
ejpam-3028	298	18	(	(	PUNCT
ejpam-3028	298	19	supra	supra	PROPN
ejpam-3028	298	20	splc	splc	NOUN
ejpam-3028	298	21	-	-	ADJ
ejpam-3028	298	22	continuous	continuous	ADJ
ejpam-3028	298	23	)	)	PUNCT
ejpam-3028	298	24	if	if	SCONJ
ejpam-3028	298	25	f−1pu	f−1pu	PROPN
ejpam-3028	298	26	(	(	PUNCT
ejpam-3028	298	27	g	g	PROPN
ejpam-3028	298	28	,	,	PUNCT
ejpam-3028	298	29	b	b	NOUN
ejpam-3028	298	30	)	)	PUNCT
ejpam-3028	298	31	∈	∈	PROPN
ejpam-3028	298	32	supra	supra	NOUN
ejpam-3028	298	33	-	-	PUNCT
ejpam-3028	298	34	splc(x	splc(x	NOUN
ejpam-3028	298	35	)	)	PUNCT
ejpam-3028	298	36	∀	∀	X
ejpam-3028	299	1	(	(	PUNCT
ejpam-3028	299	2	g	g	NOUN
ejpam-3028	299	3	,	,	PUNCT
ejpam-3028	299	4	b	b	NOUN
ejpam-3028	299	5	)	)	PUNCT
ejpam-3028	299	6	∈	∈	PROPN
ejpam-3028	299	7	τ2	τ2	NOUN
ejpam-3028	299	8	.	.	PUNCT
ejpam-3028	300	1	(	(	PUNCT
ejpam-3028	300	2	2	2	X
ejpam-3028	300	3	)	)	PUNCT
ejpam-3028	300	4	supra	supra	NOUN
ejpam-3028	300	5	soft	soft	ADJ
ejpam-3028	300	6	pre∗-locally	pre∗-locally	ADV
ejpam-3028	300	7	closed	close	VERB
ejpam-3028	300	8	continuous	continuous	ADJ
ejpam-3028	300	9	function	function	NOUN
ejpam-3028	300	10	(	(	PUNCT
ejpam-3028	300	11	supra	supra	NOUN
ejpam-3028	300	12	sp	sp	ADP
ejpam-3028	300	13	∗lc	∗lc	ADJ
ejpam-3028	300	14	-	-	ADJ
ejpam-3028	300	15	continuous	continuous	ADJ
ejpam-3028	300	16	)	)	PUNCT
ejpam-3028	300	17	if	if	SCONJ
ejpam-3028	300	18	f−1pu	f−1pu	PROPN
ejpam-3028	300	19	(	(	PUNCT
ejpam-3028	300	20	g	g	PROPN
ejpam-3028	300	21	,	,	PUNCT
ejpam-3028	300	22	b	b	NOUN
ejpam-3028	300	23	)	)	PUNCT
ejpam-3028	300	24	∈	∈	PROPN
ejpam-3028	300	25	supra	supra	NOUN
ejpam-3028	300	26	-	-	PUNCT
ejpam-3028	300	27	sp	sp	NOUN
ejpam-3028	300	28	∗lc(x	∗lc(x	NOUN
ejpam-3028	300	29	)	)	PUNCT
ejpam-3028	300	30	∀	∀	X
ejpam-3028	300	31	(	(	PUNCT
ejpam-3028	300	32	g	g	NOUN
ejpam-3028	300	33	,	,	PUNCT
ejpam-3028	300	34	b	b	NOUN
ejpam-3028	300	35	)	)	PUNCT
ejpam-3028	300	36	∈	∈	PROPN
ejpam-3028	300	37	τ2	τ2	NOUN
ejpam-3028	300	38	.	.	PUNCT
ejpam-3028	301	1	(	(	PUNCT
ejpam-3028	301	2	3	3	X
ejpam-3028	301	3	)	)	PUNCT
ejpam-3028	301	4	supra	supra	NOUN
ejpam-3028	301	5	soft	soft	ADJ
ejpam-3028	301	6	p	p	X
ejpam-3028	301	7	∗∗-locally	∗∗-locally	ADV
ejpam-3028	301	8	closed	close	VERB
ejpam-3028	301	9	continuous	continuous	ADJ
ejpam-3028	301	10	function	function	NOUN
ejpam-3028	301	11	(	(	PUNCT
ejpam-3028	301	12	supra	supra	NOUN
ejpam-3028	301	13	sp	sp	ADP
ejpam-3028	301	14	∗∗lc	∗∗lc	ADV
ejpam-3028	301	15	-	-	PUNCT
ejpam-3028	301	16	continuous	continuous	ADJ
ejpam-3028	301	17	)	)	PUNCT
ejpam-3028	301	18	if	if	SCONJ
ejpam-3028	301	19	f−1pu	f−1pu	PROPN
ejpam-3028	301	20	(	(	PUNCT
ejpam-3028	301	21	g	g	PROPN
ejpam-3028	301	22	,	,	PUNCT
ejpam-3028	301	23	b	b	NOUN
ejpam-3028	301	24	)	)	PUNCT
ejpam-3028	301	25	∈	∈	PROPN
ejpam-3028	301	26	supra	supra	NOUN
ejpam-3028	301	27	-	-	PUNCT
ejpam-3028	301	28	sp	sp	NOUN
ejpam-3028	301	29	∗∗lc(x	∗∗lc(x	NOUN
ejpam-3028	301	30	)	)	PUNCT
ejpam-3028	301	31	∀	∀	X
ejpam-3028	301	32	(	(	PUNCT
ejpam-3028	301	33	g	g	NOUN
ejpam-3028	301	34	,	,	PUNCT
ejpam-3028	301	35	b	b	NOUN
ejpam-3028	301	36	)	)	PUNCT
ejpam-3028	301	37	∈	∈	PROPN
ejpam-3028	301	38	τ2	τ2	NOUN
ejpam-3028	301	39	.	.	PUNCT
ejpam-3028	302	1	let	let	AUX
ejpam-3028	302	2	(	(	PUNCT
ejpam-3028	302	3	x	x	NOUN
ejpam-3028	302	4	,	,	PUNCT
ejpam-3028	302	5	τ1	τ1	PROPN
ejpam-3028	302	6	,	,	PUNCT
ejpam-3028	302	7	a	a	PRON
ejpam-3028	302	8	)	)	PUNCT
ejpam-3028	302	9	and	and	CCONJ
ejpam-3028	302	10	(	(	PUNCT
ejpam-3028	302	11	y	y	PROPN
ejpam-3028	302	12	,	,	PUNCT
ejpam-3028	302	13	τ2	τ2	PROPN
ejpam-3028	302	14	,	,	PUNCT
ejpam-3028	302	15	b	b	NOUN
ejpam-3028	302	16	)	)	PUNCT
ejpam-3028	302	17	be	be	AUX
ejpam-3028	302	18	soft	soft	ADJ
ejpam-3028	302	19	topological	topological	ADJ
ejpam-3028	302	20	spaces	space	NOUN
ejpam-3028	302	21	.	.	PUNCT
ejpam-3028	303	1	let	let	VERB
ejpam-3028	303	2	µ1	µ1	PROPN
ejpam-3028	303	3	be	be	AUX
ejpam-3028	303	4	an	an	DET
ejpam-3028	303	5	associated	associated	ADJ
ejpam-3028	303	6	supra	supra	PROPN
ejpam-3028	303	7	soft	soft	ADJ
ejpam-3028	303	8	topology	topology	NOUN
ejpam-3028	303	9	with	with	ADP
ejpam-3028	303	10	τ1	τ1	NOUN
ejpam-3028	303	11	.	.	PUNCT
ejpam-3028	304	1	let	let	VERB
ejpam-3028	304	2	u	u	PRON
ejpam-3028	304	3	:	:	PUNCT
ejpam-3028	304	4	x	x	SYM
ejpam-3028	304	5	→	→	SYM
ejpam-3028	304	6	y	y	PROPN
ejpam-3028	304	7	and	and	CCONJ
ejpam-3028	304	8	p	p	X
ejpam-3028	304	9	:	:	PUNCT
ejpam-3028	304	10	a→	a→	PROPN
ejpam-3028	304	11	b	b	NOUN
ejpam-3028	304	12	be	be	AUX
ejpam-3028	304	13	mappings	mapping	NOUN
ejpam-3028	304	14	.	.	PUNCT
ejpam-3028	305	1	let	let	AUX
ejpam-3028	305	2	fpu	fpu	PROPN
ejpam-3028	305	3	:	:	PUNCT
ejpam-3028	305	4	ss(x)a	ss(x)a	PROPN
ejpam-3028	305	5	→	→	SYM
ejpam-3028	305	6	f.	f.	PROPN
ejpam-3028	305	7	a.	a.	PROPN
ejpam-3028	305	8	gharib	gharib	PROPN
ejpam-3028	305	9	et	et	PROPN
ejpam-3028	305	10	al	al	PROPN
ejpam-3028	305	11	.	.	PUNCT
ejpam-3028	305	12	/	/	SYM
ejpam-3028	305	13	eur	eur	PROPN
ejpam-3028	305	14	.	.	PUNCT
ejpam-3028	306	1	j.	j.	PROPN
ejpam-3028	306	2	pure	pure	PROPN
ejpam-3028	306	3	appl	appl	PROPN
ejpam-3028	306	4	.	.	PROPN
ejpam-3028	306	5	math	math	PROPN
ejpam-3028	306	6	,	,	PUNCT
ejpam-3028	306	7	10	10	NUM
ejpam-3028	306	8	(	(	PUNCT
ejpam-3028	306	9	4	4	NUM
ejpam-3028	306	10	)	)	PUNCT
ejpam-3028	306	11	(	(	PUNCT
ejpam-3028	306	12	2017	2017	NUM
ejpam-3028	306	13	)	)	PUNCT
ejpam-3028	306	14	,	,	PUNCT
ejpam-3028	306	15	835	835	NUM
ejpam-3028	306	16	-	-	SYM
ejpam-3028	306	17	849	849	NUM
ejpam-3028	306	18	845	845	NUM
ejpam-3028	306	19	ss(y	ss(y	NUM
ejpam-3028	306	20	)	)	PUNCT
ejpam-3028	307	1	b	b	X
ejpam-3028	307	2	be	be	AUX
ejpam-3028	307	3	a	a	DET
ejpam-3028	307	4	function	function	NOUN
ejpam-3028	307	5	.	.	PUNCT
ejpam-3028	308	1	then	then	ADV
ejpam-3028	308	2	,	,	PUNCT
ejpam-3028	308	3	every	every	DET
ejpam-3028	308	4	supra	supra	NOUN
ejpam-3028	308	5	sp	sp	ADP
ejpam-3028	308	6	∗lc(resp	∗lc(resp	NOUN
ejpam-3028	308	7	.	.	PUNCT
ejpam-3028	309	1	supra	supra	PROPN
ejpam-3028	309	2	sp	sp	ADP
ejpam-3028	309	3	∗∗lc)-continuous	∗∗lc)-continuous	ADJ
ejpam-3028	309	4	function	function	NOUN
ejpam-3028	309	5	is	be	AUX
ejpam-3028	309	6	a	a	DET
ejpam-3028	309	7	supra	supra	ADJ
ejpam-3028	309	8	splc	splc	NOUN
ejpam-3028	309	9	-	-	ADJ
ejpam-3028	309	10	continuous	continuous	ADJ
ejpam-3028	309	11	.	.	PUNCT
ejpam-3028	310	1	proof	proof	NOUN
ejpam-3028	310	2	.	.	PUNCT
ejpam-3028	311	1	it	it	PRON
ejpam-3028	311	2	is	be	AUX
ejpam-3028	311	3	obvious	obvious	ADJ
ejpam-3028	311	4	from	from	ADP
ejpam-3028	311	5	theorem	theorem	ADJ
ejpam-3028	311	6	3	3	NUM
ejpam-3028	311	7	.	.	NOUN
ejpam-3028	311	8	remark	remark	PROPN
ejpam-3028	311	9	10	10	NUM
ejpam-3028	311	10	.	.	PUNCT
ejpam-3028	312	1	the	the	DET
ejpam-3028	312	2	converse	converse	NOUN
ejpam-3028	312	3	of	of	ADP
ejpam-3028	312	4	theorem	theorem	NOUN
ejpam-3028	312	5	4	4	NUM
ejpam-3028	312	6	is	be	AUX
ejpam-3028	312	7	not	not	PART
ejpam-3028	312	8	true	true	ADJ
ejpam-3028	312	9	in	in	ADP
ejpam-3028	312	10	general	general	ADJ
ejpam-3028	312	11	,	,	PUNCT
ejpam-3028	312	12	as	as	SCONJ
ejpam-3028	312	13	shown	show	VERB
ejpam-3028	312	14	in	in	ADP
ejpam-3028	312	15	the	the	DET
ejpam-3028	312	16	following	follow	VERB
ejpam-3028	312	17	examples	example	NOUN
ejpam-3028	312	18	.	.	PUNCT
ejpam-3028	313	1	(	(	PUNCT
ejpam-3028	313	2	1	1	X
ejpam-3028	313	3	)	)	PUNCT
ejpam-3028	313	4	let	let	VERB
ejpam-3028	313	5	x	x	PUNCT
ejpam-3028	313	6	=	=	PRON
ejpam-3028	313	7	{	{	PUNCT
ejpam-3028	313	8	a	a	PRON
ejpam-3028	313	9	,	,	PUNCT
ejpam-3028	313	10	b	b	NOUN
ejpam-3028	313	11	,	,	PUNCT
ejpam-3028	313	12	c	c	NOUN
ejpam-3028	313	13	,	,	PUNCT
ejpam-3028	313	14	d	d	NOUN
ejpam-3028	313	15	}	}	PUNCT
ejpam-3028	313	16	,	,	PUNCT
ejpam-3028	313	17	y	y	PROPN
ejpam-3028	313	18	=	=	PRON
ejpam-3028	313	19	{	{	PUNCT
ejpam-3028	313	20	x	x	PROPN
ejpam-3028	313	21	,	,	PUNCT
ejpam-3028	313	22	y	y	PROPN
ejpam-3028	313	23	,	,	PUNCT
ejpam-3028	313	24	z	z	NOUN
ejpam-3028	313	25	}	}	PUNCT
ejpam-3028	313	26	,	,	PUNCT
ejpam-3028	313	27	a	a	DET
ejpam-3028	313	28	=	=	X
ejpam-3028	313	29	{	{	PUNCT
ejpam-3028	313	30	e1	e1	PROPN
ejpam-3028	313	31	,	,	PUNCT
ejpam-3028	313	32	e2	e2	NOUN
ejpam-3028	313	33	}	}	PUNCT
ejpam-3028	313	34	and	and	CCONJ
ejpam-3028	313	35	b	b	X
ejpam-3028	313	36	=	=	SYM
ejpam-3028	313	37	{	{	PUNCT
ejpam-3028	313	38	k1	k1	PROPN
ejpam-3028	313	39	,	,	PUNCT
ejpam-3028	313	40	k2	k2	NOUN
ejpam-3028	313	41	}	}	PUNCT
ejpam-3028	313	42	.	.	PUNCT
ejpam-3028	314	1	define	define	VERB
ejpam-3028	314	2	u	u	NOUN
ejpam-3028	314	3	:	:	PUNCT
ejpam-3028	314	4	x	x	SYM
ejpam-3028	314	5	→	→	SYM
ejpam-3028	314	6	y	y	PROPN
ejpam-3028	314	7	and	and	CCONJ
ejpam-3028	314	8	p	p	X
ejpam-3028	314	9	:	:	PUNCT
ejpam-3028	314	10	a→	a→	PROPN
ejpam-3028	314	11	b	b	NOUN
ejpam-3028	314	12	as	as	SCONJ
ejpam-3028	314	13	follows	follow	VERB
ejpam-3028	314	14	:	:	PUNCT
ejpam-3028	314	15	u(a	u(a	PROPN
ejpam-3028	314	16	)	)	PUNCT
ejpam-3028	314	17	=	=	PRON
ejpam-3028	314	18	{	{	PUNCT
ejpam-3028	314	19	z	z	NOUN
ejpam-3028	314	20	}	}	PUNCT
ejpam-3028	314	21	,	,	PUNCT
ejpam-3028	314	22	u(b	u(b	NOUN
ejpam-3028	314	23	)	)	PUNCT
ejpam-3028	314	24	=	=	PRON
ejpam-3028	314	25	{	{	PUNCT
ejpam-3028	314	26	y	y	NOUN
ejpam-3028	314	27	}	}	PUNCT
ejpam-3028	314	28	,	,	PUNCT
ejpam-3028	314	29	u(c	u(c	PROPN
ejpam-3028	314	30	)	)	PUNCT
ejpam-3028	314	31	=	=	PRON
ejpam-3028	314	32	{	{	PUNCT
ejpam-3028	314	33	x	x	NOUN
ejpam-3028	314	34	}	}	PUNCT
ejpam-3028	314	35	,	,	PUNCT
ejpam-3028	314	36	u(d	u(d	PROPN
ejpam-3028	314	37	)	)	PUNCT
ejpam-3028	314	38	=	=	PRON
ejpam-3028	314	39	{	{	PUNCT
ejpam-3028	314	40	x	x	NOUN
ejpam-3028	314	41	}	}	PUNCT
ejpam-3028	314	42	and	and	CCONJ
ejpam-3028	314	43	p(e1	p(e1	NOUN
ejpam-3028	314	44	)	)	PUNCT
ejpam-3028	315	1	=	=	PRON
ejpam-3028	315	2	{	{	PUNCT
ejpam-3028	315	3	k2	k2	NOUN
ejpam-3028	315	4	}	}	PUNCT
ejpam-3028	315	5	,	,	PUNCT
ejpam-3028	315	6	p(e2	p(e2	NOUN
ejpam-3028	315	7	)	)	PUNCT
ejpam-3028	315	8	=	=	SYM
ejpam-3028	315	9	{	{	PUNCT
ejpam-3028	315	10	k1	k1	NOUN
ejpam-3028	315	11	}	}	PUNCT
ejpam-3028	315	12	.	.	PUNCT
ejpam-3028	316	1	let	let	VERB
ejpam-3028	316	2	(	(	PUNCT
ejpam-3028	316	3	x	x	NOUN
ejpam-3028	316	4	,	,	PUNCT
ejpam-3028	316	5	τ1	τ1	PROPN
ejpam-3028	316	6	,	,	PUNCT
ejpam-3028	316	7	a	a	PRON
ejpam-3028	316	8	)	)	PUNCT
ejpam-3028	316	9	be	be	AUX
ejpam-3028	316	10	a	a	DET
ejpam-3028	316	11	soft	soft	ADJ
ejpam-3028	316	12	topological	topological	ADJ
ejpam-3028	316	13	space	space	NOUN
ejpam-3028	316	14	over	over	ADP
ejpam-3028	316	15	x	x	SYM
ejpam-3028	316	16	where	where	SCONJ
ejpam-3028	316	17	,	,	PUNCT
ejpam-3028	316	18	τ1	τ1	NOUN
ejpam-3028	316	19	=	=	SYM
ejpam-3028	316	20	{	{	PUNCT
ejpam-3028	316	21	x̃	x̃	PROPN
ejpam-3028	316	22	,	,	PUNCT
ejpam-3028	316	23	ϕ̃	ϕ̃	PROPN
ejpam-3028	316	24	,	,	PUNCT
ejpam-3028	316	25	(	(	PUNCT
ejpam-3028	316	26	f1	f1	NOUN
ejpam-3028	316	27	,	,	PUNCT
ejpam-3028	316	28	a	a	NOUN
ejpam-3028	316	29	)	)	PUNCT
ejpam-3028	316	30	}	}	PUNCT
ejpam-3028	316	31	,	,	PUNCT
ejpam-3028	316	32	where	where	SCONJ
ejpam-3028	316	33	(	(	PUNCT
ejpam-3028	316	34	f1	f1	NOUN
ejpam-3028	316	35	,	,	PUNCT
ejpam-3028	316	36	a	a	PRON
ejpam-3028	316	37	)	)	PUNCT
ejpam-3028	316	38	is	be	AUX
ejpam-3028	316	39	a	a	DET
ejpam-3028	316	40	soft	soft	ADJ
ejpam-3028	316	41	set	set	NOUN
ejpam-3028	316	42	over	over	ADP
ejpam-3028	316	43	x	x	PUNCT
ejpam-3028	316	44	defined	define	VERB
ejpam-3028	316	45	as	as	SCONJ
ejpam-3028	316	46	follows	follow	VERB
ejpam-3028	316	47	:	:	PUNCT
ejpam-3028	316	48	f1(e1	f1(e1	X
ejpam-3028	316	49	)	)	PUNCT
ejpam-3028	317	1	=	=	PUNCT
ejpam-3028	317	2	{	{	PUNCT
ejpam-3028	317	3	b	b	NOUN
ejpam-3028	317	4	,	,	PUNCT
ejpam-3028	317	5	c	c	NOUN
ejpam-3028	317	6	}	}	PUNCT
ejpam-3028	317	7	,	,	PUNCT
ejpam-3028	317	8	f1(e2	f1(e2	NOUN
ejpam-3028	317	9	)	)	PUNCT
ejpam-3028	317	10	=	=	PRON
ejpam-3028	318	1	{	{	PUNCT
ejpam-3028	318	2	a	a	X
ejpam-3028	318	3	,	,	PUNCT
ejpam-3028	318	4	c	c	NOUN
ejpam-3028	318	5	}	}	PUNCT
ejpam-3028	318	6	.	.	PUNCT
ejpam-3028	319	1	consider	consider	VERB
ejpam-3028	319	2	the	the	DET
ejpam-3028	319	3	supra	supra	PROPN
ejpam-3028	319	4	soft	soft	ADJ
ejpam-3028	319	5	topology	topology	NOUN
ejpam-3028	319	6	µ1	µ1	NOUN
ejpam-3028	319	7	=	=	SYM
ejpam-3028	319	8	{	{	PUNCT
ejpam-3028	319	9	x̃	x̃	PROPN
ejpam-3028	319	10	,	,	PUNCT
ejpam-3028	319	11	ϕ̃	ϕ̃	PROPN
ejpam-3028	319	12	,	,	PUNCT
ejpam-3028	319	13	(	(	PUNCT
ejpam-3028	319	14	f1	f1	NOUN
ejpam-3028	319	15	,	,	PUNCT
ejpam-3028	319	16	a	a	PRON
ejpam-3028	319	17	)	)	PUNCT
ejpam-3028	319	18	,	,	PUNCT
ejpam-3028	319	19	.......	.......	PUNCT
ejpam-3028	319	20	,	,	PUNCT
ejpam-3028	319	21	(	(	PUNCT
ejpam-3028	319	22	f5	f5	NOUN
ejpam-3028	319	23	,	,	PUNCT
ejpam-3028	319	24	a	a	NOUN
ejpam-3028	319	25	)	)	PUNCT
ejpam-3028	319	26	}	}	PUNCT
ejpam-3028	319	27	in	in	ADP
ejpam-3028	319	28	example	example	NOUN
ejpam-3028	319	29	1	1	X
ejpam-3028	319	30	.	.	PUNCT
ejpam-3028	320	1	let	let	AUX
ejpam-3028	320	2	(	(	PUNCT
ejpam-3028	320	3	y	y	NOUN
ejpam-3028	320	4	,	,	PUNCT
ejpam-3028	320	5	τ2	τ2	PROPN
ejpam-3028	320	6	,	,	PUNCT
ejpam-3028	320	7	b	b	NOUN
ejpam-3028	320	8	)	)	PUNCT
ejpam-3028	320	9	be	be	AUX
ejpam-3028	320	10	a	a	DET
ejpam-3028	320	11	soft	soft	ADJ
ejpam-3028	320	12	topological	topological	ADJ
ejpam-3028	320	13	space	space	NOUN
ejpam-3028	320	14	over	over	ADP
ejpam-3028	320	15	y	y	PROPN
ejpam-3028	320	16	where	where	SCONJ
ejpam-3028	320	17	,	,	PUNCT
ejpam-3028	320	18	τ2	τ2	NOUN
ejpam-3028	320	19	=	=	PUNCT
ejpam-3028	320	20	{	{	PUNCT
ejpam-3028	320	21	ỹ	ỹ	PROPN
ejpam-3028	320	22	,	,	PUNCT
ejpam-3028	320	23	ϕ̃	ϕ̃	PROPN
ejpam-3028	320	24	,	,	PUNCT
ejpam-3028	320	25	(	(	PUNCT
ejpam-3028	320	26	g	g	NOUN
ejpam-3028	320	27	,	,	PUNCT
ejpam-3028	320	28	b	b	NOUN
ejpam-3028	320	29	)	)	PUNCT
ejpam-3028	320	30	}	}	PUNCT
ejpam-3028	320	31	,	,	PUNCT
ejpam-3028	320	32	where	where	SCONJ
ejpam-3028	320	33	(	(	PUNCT
ejpam-3028	320	34	g	g	NOUN
ejpam-3028	320	35	,	,	PUNCT
ejpam-3028	320	36	b	b	NOUN
ejpam-3028	320	37	)	)	PUNCT
ejpam-3028	320	38	is	be	AUX
ejpam-3028	320	39	a	a	DET
ejpam-3028	320	40	soft	soft	ADJ
ejpam-3028	320	41	set	set	NOUN
ejpam-3028	320	42	over	over	ADP
ejpam-3028	320	43	y	y	PROPN
ejpam-3028	320	44	defined	define	VERB
ejpam-3028	320	45	by	by	ADP
ejpam-3028	320	46	:	:	PUNCT
ejpam-3028	320	47	g(k1	g(k1	NOUN
ejpam-3028	320	48	)	)	PUNCT
ejpam-3028	320	49	=	=	SYM
ejpam-3028	320	50	{	{	PUNCT
ejpam-3028	320	51	y	y	NOUN
ejpam-3028	320	52	}	}	PUNCT
ejpam-3028	320	53	,	,	PUNCT
ejpam-3028	320	54	g(k2	g(k2	X
ejpam-3028	320	55	)	)	PUNCT
ejpam-3028	320	56	=	=	PRON
ejpam-3028	320	57	{	{	PUNCT
ejpam-3028	320	58	z	z	NOUN
ejpam-3028	320	59	}	}	PUNCT
ejpam-3028	320	60	.	.	PUNCT
ejpam-3028	321	1	let	let	AUX
ejpam-3028	321	2	fpu	fpu	VERB
ejpam-3028	321	3	:	:	PUNCT
ejpam-3028	321	4	(	(	PUNCT
ejpam-3028	321	5	x	x	NOUN
ejpam-3028	321	6	,	,	PUNCT
ejpam-3028	321	7	τ1	τ1	NOUN
ejpam-3028	321	8	,	,	PUNCT
ejpam-3028	321	9	a)→	a)→	NOUN
ejpam-3028	321	10	(	(	PUNCT
ejpam-3028	321	11	y	y	PROPN
ejpam-3028	321	12	,	,	PUNCT
ejpam-3028	321	13	τ2	τ2	PROPN
ejpam-3028	321	14	,	,	PUNCT
ejpam-3028	321	15	b	b	NOUN
ejpam-3028	321	16	)	)	PUNCT
ejpam-3028	321	17	be	be	AUX
ejpam-3028	321	18	a	a	DET
ejpam-3028	321	19	soft	soft	ADJ
ejpam-3028	321	20	function	function	NOUN
ejpam-3028	321	21	.	.	PUNCT
ejpam-3028	322	1	then	then	ADV
ejpam-3028	322	2	,	,	PUNCT
ejpam-3028	322	3	f−1pu	f−1pu	PROPN
ejpam-3028	322	4	(	(	PUNCT
ejpam-3028	322	5	(	(	PUNCT
ejpam-3028	322	6	g	g	NOUN
ejpam-3028	322	7	,	,	PUNCT
ejpam-3028	322	8	b	b	NOUN
ejpam-3028	322	9	)	)	PUNCT
ejpam-3028	322	10	)	)	PUNCT
ejpam-3028	322	11	=	=	PRON
ejpam-3028	322	12	{	{	PUNCT
ejpam-3028	322	13	(	(	PUNCT
ejpam-3028	322	14	e1	e1	NOUN
ejpam-3028	322	15	,	,	PUNCT
ejpam-3028	322	16	{	{	PUNCT
ejpam-3028	322	17	b	b	NOUN
ejpam-3028	322	18	}	}	PUNCT
ejpam-3028	322	19	)	)	PUNCT
ejpam-3028	322	20	,	,	PUNCT
ejpam-3028	322	21	(	(	PUNCT
ejpam-3028	322	22	e2	e2	PROPN
ejpam-3028	322	23	,	,	PUNCT
ejpam-3028	322	24	{	{	PUNCT
ejpam-3028	322	25	a	a	X
ejpam-3028	322	26	}	}	PUNCT
ejpam-3028	322	27	)	)	PUNCT
ejpam-3028	322	28	}	}	PUNCT
ejpam-3028	322	29	is	be	AUX
ejpam-3028	322	30	a	a	DET
ejpam-3028	322	31	supra	supra	PROPN
ejpam-3028	322	32	soft	soft	ADJ
ejpam-3028	322	33	p	p	NOUN
ejpam-3028	322	34	-locally	-locally	ADV
ejpam-3028	322	35	closed	close	VERB
ejpam-3028	322	36	in	in	ADP
ejpam-3028	322	37	x	x	NOUN
ejpam-3028	322	38	,	,	PUNCT
ejpam-3028	322	39	but	but	CCONJ
ejpam-3028	322	40	not	not	PART
ejpam-3028	322	41	supra	supra	NOUN
ejpam-3028	322	42	soft	soft	ADJ
ejpam-3028	322	43	p	p	NOUN
ejpam-3028	322	44	∗-locally	∗-locally	ADV
ejpam-3028	322	45	closed	close	VERB
ejpam-3028	322	46	.	.	PUNCT
ejpam-3028	323	1	hence	hence	ADV
ejpam-3028	323	2	,	,	PUNCT
ejpam-3028	323	3	fpu	fpu	PROPN
ejpam-3028	323	4	is	be	AUX
ejpam-3028	323	5	a	a	DET
ejpam-3028	323	6	supra	supra	ADJ
ejpam-3028	323	7	splc	splc	NOUN
ejpam-3028	323	8	-	-	ADJ
ejpam-3028	323	9	continuous	continuous	ADJ
ejpam-3028	323	10	,	,	PUNCT
ejpam-3028	323	11	but	but	CCONJ
ejpam-3028	323	12	not	not	PART
ejpam-3028	323	13	supra	supra	NOUN
ejpam-3028	323	14	sp	sp	ADP
ejpam-3028	323	15	∗lc	∗lc	ADV
ejpam-3028	323	16	-	-	ADJ
ejpam-3028	323	17	continuous	continuous	ADJ
ejpam-3028	323	18	.	.	PUNCT
ejpam-3028	324	1	(	(	PUNCT
ejpam-3028	324	2	2	2	X
ejpam-3028	324	3	)	)	PUNCT
ejpam-3028	324	4	in	in	ADP
ejpam-3028	324	5	(	(	PUNCT
ejpam-3028	324	6	1	1	NUM
ejpam-3028	324	7	)	)	PUNCT
ejpam-3028	324	8	,	,	PUNCT
ejpam-3028	324	9	let	let	VERB
ejpam-3028	324	10	(	(	PUNCT
ejpam-3028	324	11	y	y	NOUN
ejpam-3028	324	12	,	,	PUNCT
ejpam-3028	324	13	τ2	τ2	PROPN
ejpam-3028	324	14	,	,	PUNCT
ejpam-3028	324	15	b	b	NOUN
ejpam-3028	324	16	)	)	PUNCT
ejpam-3028	324	17	be	be	AUX
ejpam-3028	324	18	a	a	DET
ejpam-3028	324	19	soft	soft	ADJ
ejpam-3028	324	20	topological	topological	ADJ
ejpam-3028	324	21	space	space	NOUN
ejpam-3028	324	22	over	over	ADP
ejpam-3028	324	23	y	y	PROPN
ejpam-3028	324	24	where	where	SCONJ
ejpam-3028	324	25	,	,	PUNCT
ejpam-3028	324	26	τ2	τ2	NOUN
ejpam-3028	324	27	=	=	PUNCT
ejpam-3028	324	28	{	{	PUNCT
ejpam-3028	324	29	ỹ	ỹ	PROPN
ejpam-3028	324	30	,	,	PUNCT
ejpam-3028	324	31	ϕ̃	ϕ̃	PROPN
ejpam-3028	324	32	,	,	PUNCT
ejpam-3028	324	33	(	(	PUNCT
ejpam-3028	324	34	g	g	NOUN
ejpam-3028	324	35	,	,	PUNCT
ejpam-3028	324	36	b	b	NOUN
ejpam-3028	324	37	)	)	PUNCT
ejpam-3028	324	38	}	}	PUNCT
ejpam-3028	324	39	,	,	PUNCT
ejpam-3028	324	40	where	where	SCONJ
ejpam-3028	324	41	(	(	PUNCT
ejpam-3028	324	42	g	g	NOUN
ejpam-3028	324	43	,	,	PUNCT
ejpam-3028	324	44	b	b	NOUN
ejpam-3028	324	45	)	)	PUNCT
ejpam-3028	324	46	is	be	AUX
ejpam-3028	324	47	a	a	DET
ejpam-3028	324	48	soft	soft	ADJ
ejpam-3028	324	49	set	set	NOUN
ejpam-3028	324	50	over	over	ADP
ejpam-3028	324	51	y	y	PROPN
ejpam-3028	324	52	defined	define	VERB
ejpam-3028	324	53	by	by	ADP
ejpam-3028	324	54	:	:	PUNCT
ejpam-3028	324	55	g(k1	g(k1	NOUN
ejpam-3028	324	56	)	)	PUNCT
ejpam-3028	324	57	=	=	SYM
ejpam-3028	324	58	{	{	PUNCT
ejpam-3028	324	59	x	x	NOUN
ejpam-3028	324	60	,	,	PUNCT
ejpam-3028	324	61	z	z	NOUN
ejpam-3028	324	62	}	}	PUNCT
ejpam-3028	324	63	,	,	PUNCT
ejpam-3028	324	64	g(k2	g(k2	PROPN
ejpam-3028	324	65	)	)	PUNCT
ejpam-3028	324	66	=	=	SYM
ejpam-3028	324	67	{	{	PUNCT
ejpam-3028	324	68	x	x	NOUN
ejpam-3028	324	69	,	,	PUNCT
ejpam-3028	324	70	y	y	PROPN
ejpam-3028	324	71	}	}	PUNCT
ejpam-3028	324	72	.	.	PUNCT
ejpam-3028	325	1	let	let	AUX
ejpam-3028	325	2	fpu	fpu	VERB
ejpam-3028	325	3	:	:	PUNCT
ejpam-3028	325	4	(	(	PUNCT
ejpam-3028	325	5	x	x	NOUN
ejpam-3028	325	6	,	,	PUNCT
ejpam-3028	325	7	τ1	τ1	NOUN
ejpam-3028	325	8	,	,	PUNCT
ejpam-3028	325	9	a)→	a)→	NOUN
ejpam-3028	325	10	(	(	PUNCT
ejpam-3028	325	11	y	y	PROPN
ejpam-3028	325	12	,	,	PUNCT
ejpam-3028	325	13	τ2	τ2	PROPN
ejpam-3028	325	14	,	,	PUNCT
ejpam-3028	325	15	b	b	NOUN
ejpam-3028	325	16	)	)	PUNCT
ejpam-3028	325	17	be	be	AUX
ejpam-3028	325	18	a	a	DET
ejpam-3028	325	19	soft	soft	ADJ
ejpam-3028	325	20	function	function	NOUN
ejpam-3028	325	21	.	.	PUNCT
ejpam-3028	326	1	then	then	ADV
ejpam-3028	326	2	,	,	PUNCT
ejpam-3028	326	3	f−1pu	f−1pu	PROPN
ejpam-3028	326	4	(	(	PUNCT
ejpam-3028	326	5	(	(	PUNCT
ejpam-3028	326	6	g	g	NOUN
ejpam-3028	326	7	,	,	PUNCT
ejpam-3028	326	8	b	b	NOUN
ejpam-3028	326	9	)	)	PUNCT
ejpam-3028	326	10	)	)	PUNCT
ejpam-3028	326	11	=	=	PRON
ejpam-3028	326	12	{	{	PUNCT
ejpam-3028	326	13	(	(	PUNCT
ejpam-3028	326	14	e1	e1	NOUN
ejpam-3028	326	15	,	,	PUNCT
ejpam-3028	326	16	{	{	PUNCT
ejpam-3028	326	17	a	a	PRON
ejpam-3028	326	18	,	,	PUNCT
ejpam-3028	326	19	c	c	NOUN
ejpam-3028	326	20	,	,	PUNCT
ejpam-3028	326	21	d	d	NOUN
ejpam-3028	326	22	}	}	PUNCT
ejpam-3028	326	23	)	)	PUNCT
ejpam-3028	326	24	,	,	PUNCT
ejpam-3028	326	25	(	(	PUNCT
ejpam-3028	326	26	e2	e2	PROPN
ejpam-3028	326	27	,	,	PUNCT
ejpam-3028	326	28	{	{	PUNCT
ejpam-3028	326	29	b	b	NOUN
ejpam-3028	326	30	,	,	PUNCT
ejpam-3028	326	31	c	c	NOUN
ejpam-3028	326	32	,	,	PUNCT
ejpam-3028	326	33	d	d	NOUN
ejpam-3028	326	34	}	}	PUNCT
ejpam-3028	326	35	)	)	PUNCT
ejpam-3028	326	36	}	}	PUNCT
ejpam-3028	326	37	is	be	AUX
ejpam-3028	326	38	a	a	DET
ejpam-3028	326	39	supra	supra	PROPN
ejpam-3028	326	40	soft	soft	ADJ
ejpam-3028	326	41	p	p	NOUN
ejpam-3028	326	42	-locally	-locally	ADV
ejpam-3028	326	43	closed	close	VERB
ejpam-3028	326	44	in	in	ADP
ejpam-3028	326	45	x	x	NOUN
ejpam-3028	326	46	,	,	PUNCT
ejpam-3028	326	47	but	but	CCONJ
ejpam-3028	326	48	not	not	PART
ejpam-3028	326	49	supra	supra	NOUN
ejpam-3028	326	50	soft	soft	ADJ
ejpam-3028	326	51	p	p	X
ejpam-3028	326	52	∗∗-locally	∗∗-locally	ADV
ejpam-3028	326	53	closed	closed	ADJ
ejpam-3028	326	54	.	.	PUNCT
ejpam-3028	327	1	hence	hence	ADV
ejpam-3028	327	2	,	,	PUNCT
ejpam-3028	327	3	fpu	fpu	PROPN
ejpam-3028	327	4	is	be	AUX
ejpam-3028	327	5	a	a	DET
ejpam-3028	327	6	supra	supra	ADJ
ejpam-3028	327	7	splc	splc	NOUN
ejpam-3028	327	8	-	-	ADJ
ejpam-3028	327	9	continuous	continuous	ADJ
ejpam-3028	327	10	,	,	PUNCT
ejpam-3028	327	11	but	but	CCONJ
ejpam-3028	327	12	not	not	PART
ejpam-3028	327	13	supra	supra	NOUN
ejpam-3028	327	14	sp	sp	ADP
ejpam-3028	327	15	∗∗lc	∗∗lc	NOUN
ejpam-3028	327	16	-	-	PUNCT
ejpam-3028	327	17	continuous	continuous	ADJ
ejpam-3028	327	18	.	.	PUNCT
ejpam-3028	328	1	let	let	AUX
ejpam-3028	328	2	(	(	PUNCT
ejpam-3028	328	3	x	x	NOUN
ejpam-3028	328	4	,	,	PUNCT
ejpam-3028	328	5	τ1	τ1	PROPN
ejpam-3028	328	6	,	,	PUNCT
ejpam-3028	328	7	a	a	PRON
ejpam-3028	328	8	)	)	PUNCT
ejpam-3028	328	9	and	and	CCONJ
ejpam-3028	328	10	(	(	PUNCT
ejpam-3028	328	11	y	y	PROPN
ejpam-3028	328	12	,	,	PUNCT
ejpam-3028	328	13	τ2	τ2	PROPN
ejpam-3028	328	14	,	,	PUNCT
ejpam-3028	328	15	b	b	NOUN
ejpam-3028	328	16	)	)	PUNCT
ejpam-3028	328	17	be	be	AUX
ejpam-3028	328	18	soft	soft	ADJ
ejpam-3028	328	19	topological	topological	ADJ
ejpam-3028	328	20	spaces	space	NOUN
ejpam-3028	328	21	.	.	PUNCT
ejpam-3028	329	1	let	let	VERB
ejpam-3028	329	2	µ1	µ1	PROPN
ejpam-3028	329	3	be	be	AUX
ejpam-3028	329	4	an	an	DET
ejpam-3028	329	5	associated	associated	ADJ
ejpam-3028	329	6	supra	supra	PROPN
ejpam-3028	329	7	soft	soft	ADJ
ejpam-3028	329	8	topology	topology	NOUN
ejpam-3028	329	9	with	with	ADP
ejpam-3028	329	10	τ1	τ1	NOUN
ejpam-3028	329	11	.	.	PUNCT
ejpam-3028	330	1	let	let	VERB
ejpam-3028	330	2	u	u	PRON
ejpam-3028	330	3	:	:	PUNCT
ejpam-3028	330	4	x	x	SYM
ejpam-3028	330	5	→	→	SYM
ejpam-3028	330	6	y	y	PROPN
ejpam-3028	330	7	and	and	CCONJ
ejpam-3028	330	8	p	p	X
ejpam-3028	330	9	:	:	PUNCT
ejpam-3028	330	10	a→	a→	PROPN
ejpam-3028	330	11	b	b	NOUN
ejpam-3028	330	12	be	be	AUX
ejpam-3028	330	13	mappings	mapping	NOUN
ejpam-3028	330	14	.	.	PUNCT
ejpam-3028	331	1	let	let	AUX
ejpam-3028	331	2	fpu	fpu	PROPN
ejpam-3028	331	3	:	:	PUNCT
ejpam-3028	331	4	ss(x)a	ss(x)a	PROPN
ejpam-3028	331	5	→	→	SYM
ejpam-3028	331	6	ss(y	ss(y	NUM
ejpam-3028	331	7	)	)	PUNCT
ejpam-3028	331	8	b	b	X
ejpam-3028	331	9	be	be	AUX
ejpam-3028	331	10	a	a	DET
ejpam-3028	331	11	function	function	NOUN
ejpam-3028	331	12	.	.	PUNCT
ejpam-3028	332	1	then	then	ADV
ejpam-3028	332	2	,	,	PUNCT
ejpam-3028	332	3	every	every	DET
ejpam-3028	332	4	supra	supra	PROPN
ejpam-3028	332	5	sαlc	sαlc	NOUN
ejpam-3028	332	6	-	-	PUNCT
ejpam-3028	332	7	continuous	continuous	ADJ
ejpam-3028	332	8	function	function	NOUN
ejpam-3028	332	9	is	be	AUX
ejpam-3028	332	10	a	a	DET
ejpam-3028	332	11	supra	supra	ADJ
ejpam-3028	332	12	splccontinuous	splccontinuous	ADJ
ejpam-3028	332	13	.	.	PUNCT
ejpam-3028	333	1	proof	proof	NOUN
ejpam-3028	333	2	.	.	PUNCT
ejpam-3028	334	1	it	it	PRON
ejpam-3028	334	2	is	be	AUX
ejpam-3028	334	3	obvious	obvious	ADJ
ejpam-3028	334	4	from	from	ADP
ejpam-3028	334	5	theorem	theorem	ADJ
ejpam-3028	334	6	3	3	NUM
ejpam-3028	334	7	.	.	NOUN
ejpam-3028	334	8	example	example	NOUN
ejpam-3028	335	1	7	7	NUM
ejpam-3028	335	2	.	.	PUNCT
ejpam-3028	336	1	let	let	VERB
ejpam-3028	336	2	x	x	PUNCT
ejpam-3028	336	3	=	=	PRON
ejpam-3028	336	4	{	{	PUNCT
ejpam-3028	336	5	a	a	PRON
ejpam-3028	336	6	,	,	PUNCT
ejpam-3028	336	7	b	b	NOUN
ejpam-3028	336	8	,	,	PUNCT
ejpam-3028	336	9	c	c	NOUN
ejpam-3028	336	10	,	,	PUNCT
ejpam-3028	336	11	d	d	NOUN
ejpam-3028	336	12	}	}	PUNCT
ejpam-3028	336	13	,	,	PUNCT
ejpam-3028	336	14	y	y	PROPN
ejpam-3028	336	15	=	=	PRON
ejpam-3028	336	16	{	{	PUNCT
ejpam-3028	336	17	x	x	PROPN
ejpam-3028	336	18	,	,	PUNCT
ejpam-3028	336	19	y	y	PROPN
ejpam-3028	336	20	,	,	PUNCT
ejpam-3028	336	21	z	z	PROPN
ejpam-3028	336	22	,	,	PUNCT
ejpam-3028	336	23	w	w	PROPN
ejpam-3028	336	24	}	}	PUNCT
ejpam-3028	336	25	,	,	PUNCT
ejpam-3028	336	26	a	a	DET
ejpam-3028	336	27	=	=	X
ejpam-3028	336	28	{	{	PUNCT
ejpam-3028	336	29	e1	e1	PROPN
ejpam-3028	336	30	,	,	PUNCT
ejpam-3028	336	31	e2	e2	NOUN
ejpam-3028	336	32	}	}	PUNCT
ejpam-3028	336	33	and	and	CCONJ
ejpam-3028	336	34	b	b	X
ejpam-3028	336	35	=	=	SYM
ejpam-3028	336	36	{	{	PUNCT
ejpam-3028	336	37	k1	k1	PROPN
ejpam-3028	336	38	,	,	PUNCT
ejpam-3028	336	39	k2	k2	NOUN
ejpam-3028	336	40	}	}	PUNCT
ejpam-3028	336	41	.	.	PUNCT
ejpam-3028	337	1	define	define	VERB
ejpam-3028	337	2	u	u	NOUN
ejpam-3028	337	3	:	:	PUNCT
ejpam-3028	337	4	x	x	SYM
ejpam-3028	337	5	→	→	SYM
ejpam-3028	337	6	y	y	PROPN
ejpam-3028	337	7	and	and	CCONJ
ejpam-3028	337	8	p	p	X
ejpam-3028	337	9	:	:	PUNCT
ejpam-3028	337	10	a→	a→	PROPN
ejpam-3028	337	11	b	b	NOUN
ejpam-3028	337	12	as	as	SCONJ
ejpam-3028	337	13	follows	follow	VERB
ejpam-3028	337	14	:	:	PUNCT
ejpam-3028	337	15	u(a	u(a	PROPN
ejpam-3028	337	16	)	)	PUNCT
ejpam-3028	337	17	=	=	PRON
ejpam-3028	337	18	{	{	PUNCT
ejpam-3028	337	19	z	z	NOUN
ejpam-3028	337	20	}	}	PUNCT
ejpam-3028	337	21	,	,	PUNCT
ejpam-3028	337	22	u(b	u(b	NOUN
ejpam-3028	337	23	)	)	PUNCT
ejpam-3028	337	24	=	=	PRON
ejpam-3028	337	25	{	{	PUNCT
ejpam-3028	337	26	w	w	NOUN
ejpam-3028	337	27	}	}	PUNCT
ejpam-3028	337	28	,	,	PUNCT
ejpam-3028	337	29	u(c	u(c	PROPN
ejpam-3028	337	30	)	)	PUNCT
ejpam-3028	337	31	=	=	PRON
ejpam-3028	337	32	{	{	PUNCT
ejpam-3028	337	33	x	x	NOUN
ejpam-3028	337	34	}	}	PUNCT
ejpam-3028	337	35	,	,	PUNCT
ejpam-3028	337	36	u(d	u(d	PROPN
ejpam-3028	337	37	)	)	PUNCT
ejpam-3028	338	1	=	=	PRON
ejpam-3028	338	2	{	{	PUNCT
ejpam-3028	338	3	y	y	NOUN
ejpam-3028	338	4	}	}	PUNCT
ejpam-3028	338	5	and	and	CCONJ
ejpam-3028	338	6	p(e1	p(e1	NOUN
ejpam-3028	338	7	)	)	PUNCT
ejpam-3028	339	1	=	=	PRON
ejpam-3028	339	2	{	{	PUNCT
ejpam-3028	339	3	k2	k2	NOUN
ejpam-3028	339	4	}	}	PUNCT
ejpam-3028	339	5	,	,	PUNCT
ejpam-3028	339	6	p(e2	p(e2	NOUN
ejpam-3028	339	7	)	)	PUNCT
ejpam-3028	339	8	=	=	SYM
ejpam-3028	339	9	{	{	PUNCT
ejpam-3028	339	10	k1	k1	NOUN
ejpam-3028	339	11	}	}	PUNCT
ejpam-3028	339	12	.	.	PUNCT
ejpam-3028	340	1	let	let	VERB
ejpam-3028	340	2	(	(	PUNCT
ejpam-3028	340	3	x	x	NOUN
ejpam-3028	340	4	,	,	PUNCT
ejpam-3028	340	5	τ1	τ1	PROPN
ejpam-3028	340	6	,	,	PUNCT
ejpam-3028	340	7	a	a	PRON
ejpam-3028	340	8	)	)	PUNCT
ejpam-3028	340	9	be	be	AUX
ejpam-3028	340	10	a	a	DET
ejpam-3028	340	11	soft	soft	ADJ
ejpam-3028	340	12	topological	topological	ADJ
ejpam-3028	340	13	space	space	NOUN
ejpam-3028	340	14	over	over	ADP
ejpam-3028	340	15	x	x	SYM
ejpam-3028	340	16	where	where	SCONJ
ejpam-3028	340	17	,	,	PUNCT
ejpam-3028	340	18	τ1	τ1	NOUN
ejpam-3028	340	19	=	=	SYM
ejpam-3028	340	20	{	{	PUNCT
ejpam-3028	340	21	x̃	x̃	PROPN
ejpam-3028	340	22	,	,	PUNCT
ejpam-3028	340	23	ϕ̃	ϕ̃	PROPN
ejpam-3028	340	24	,	,	PUNCT
ejpam-3028	340	25	(	(	PUNCT
ejpam-3028	340	26	f1	f1	NOUN
ejpam-3028	340	27	,	,	PUNCT
ejpam-3028	340	28	a	a	NOUN
ejpam-3028	340	29	)	)	PUNCT
ejpam-3028	340	30	}	}	PUNCT
ejpam-3028	340	31	,	,	PUNCT
ejpam-3028	340	32	where	where	SCONJ
ejpam-3028	340	33	(	(	PUNCT
ejpam-3028	340	34	f1	f1	NOUN
ejpam-3028	340	35	,	,	PUNCT
ejpam-3028	340	36	a	a	PRON
ejpam-3028	340	37	)	)	PUNCT
ejpam-3028	340	38	is	be	AUX
ejpam-3028	340	39	a	a	DET
ejpam-3028	340	40	soft	soft	ADJ
ejpam-3028	340	41	set	set	NOUN
ejpam-3028	340	42	over	over	ADP
ejpam-3028	340	43	x	x	PUNCT
ejpam-3028	340	44	defined	define	VERB
ejpam-3028	340	45	as	as	SCONJ
ejpam-3028	340	46	follows	follow	VERB
ejpam-3028	340	47	:	:	PUNCT
ejpam-3028	340	48	f	f	PROPN
ejpam-3028	340	49	(	(	PUNCT
ejpam-3028	340	50	e1	e1	PROPN
ejpam-3028	340	51	)	)	PUNCT
ejpam-3028	340	52	=	=	PRON
ejpam-3028	340	53	{	{	PUNCT
ejpam-3028	340	54	a	a	DET
ejpam-3028	340	55	,	,	PUNCT
ejpam-3028	340	56	b	b	NOUN
ejpam-3028	340	57	}	}	PUNCT
ejpam-3028	340	58	,	,	PUNCT
ejpam-3028	340	59	f	f	PROPN
ejpam-3028	340	60	(	(	PUNCT
ejpam-3028	340	61	e2	e2	PROPN
ejpam-3028	340	62	)	)	PUNCT
ejpam-3028	341	1	=	=	PRON
ejpam-3028	341	2	{	{	PUNCT
ejpam-3028	341	3	a	a	DET
ejpam-3028	341	4	,	,	PUNCT
ejpam-3028	341	5	b	b	NOUN
ejpam-3028	341	6	}	}	PUNCT
ejpam-3028	341	7	.	.	PUNCT
ejpam-3028	342	1	consider	consider	VERB
ejpam-3028	342	2	the	the	DET
ejpam-3028	342	3	supra	supra	PROPN
ejpam-3028	342	4	soft	soft	ADJ
ejpam-3028	342	5	topology	topology	NOUN
ejpam-3028	342	6	µ1	µ1	NOUN
ejpam-3028	342	7	in	in	ADP
ejpam-3028	342	8	example	example	NOUN
ejpam-3028	342	9	1	1	NUM
ejpam-3028	342	10	,	,	PUNCT
ejpam-3028	342	11	µ1	µ1	PROPN
ejpam-3028	342	12	=	=	SYM
ejpam-3028	342	13	{	{	PUNCT
ejpam-3028	342	14	x̃	x̃	PROPN
ejpam-3028	342	15	,	,	PUNCT
ejpam-3028	342	16	ϕ̃	ϕ̃	PROPN
ejpam-3028	342	17	,	,	PUNCT
ejpam-3028	342	18	(	(	PUNCT
ejpam-3028	342	19	f1	f1	NOUN
ejpam-3028	342	20	,	,	PUNCT
ejpam-3028	342	21	a	a	PRON
ejpam-3028	342	22	)	)	PUNCT
ejpam-3028	342	23	,	,	PUNCT
ejpam-3028	342	24	.......	.......	PUNCT
ejpam-3028	342	25	(	(	PUNCT
ejpam-3028	342	26	f10	f10	NOUN
ejpam-3028	342	27	,	,	PUNCT
ejpam-3028	342	28	a	a	NOUN
ejpam-3028	342	29	)	)	PUNCT
ejpam-3028	342	30	}	}	PUNCT
ejpam-3028	342	31	.	.	PUNCT
ejpam-3028	343	1	let	let	AUX
ejpam-3028	343	2	(	(	PUNCT
ejpam-3028	343	3	y	y	NOUN
ejpam-3028	343	4	,	,	PUNCT
ejpam-3028	343	5	τ2	τ2	PROPN
ejpam-3028	343	6	,	,	PUNCT
ejpam-3028	343	7	b	b	NOUN
ejpam-3028	343	8	)	)	PUNCT
ejpam-3028	343	9	be	be	AUX
ejpam-3028	343	10	a	a	DET
ejpam-3028	343	11	soft	soft	ADJ
ejpam-3028	343	12	topological	topological	ADJ
ejpam-3028	343	13	space	space	NOUN
ejpam-3028	343	14	over	over	ADP
ejpam-3028	343	15	y	y	PROPN
ejpam-3028	343	16	where	where	SCONJ
ejpam-3028	343	17	,	,	PUNCT
ejpam-3028	343	18	τ2	τ2	NOUN
ejpam-3028	343	19	=	=	PUNCT
ejpam-3028	343	20	{	{	PUNCT
ejpam-3028	343	21	ỹ	ỹ	PROPN
ejpam-3028	343	22	,	,	PUNCT
ejpam-3028	343	23	ϕ̃	ϕ̃	PROPN
ejpam-3028	343	24	,	,	PUNCT
ejpam-3028	343	25	(	(	PUNCT
ejpam-3028	343	26	g	g	NOUN
ejpam-3028	343	27	,	,	PUNCT
ejpam-3028	343	28	b	b	NOUN
ejpam-3028	343	29	)	)	PUNCT
ejpam-3028	343	30	}	}	PUNCT
ejpam-3028	343	31	,	,	PUNCT
ejpam-3028	343	32	where	where	SCONJ
ejpam-3028	343	33	(	(	PUNCT
ejpam-3028	343	34	g	g	NOUN
ejpam-3028	343	35	,	,	PUNCT
ejpam-3028	343	36	b	b	NOUN
ejpam-3028	343	37	)	)	PUNCT
ejpam-3028	343	38	is	be	AUX
ejpam-3028	343	39	a	a	DET
ejpam-3028	343	40	soft	soft	ADJ
ejpam-3028	343	41	set	set	NOUN
ejpam-3028	343	42	over	over	ADP
ejpam-3028	343	43	y	y	PROPN
ejpam-3028	343	44	defined	define	VERB
ejpam-3028	343	45	by	by	ADP
ejpam-3028	343	46	:	:	PUNCT
ejpam-3028	343	47	g(k1	g(k1	NOUN
ejpam-3028	343	48	)	)	PUNCT
ejpam-3028	343	49	=	=	SYM
ejpam-3028	344	1	{	{	PUNCT
ejpam-3028	344	2	z	z	NOUN
ejpam-3028	344	3	,	,	PUNCT
ejpam-3028	344	4	w	w	NOUN
ejpam-3028	344	5	}	}	PUNCT
ejpam-3028	344	6	,	,	PUNCT
ejpam-3028	344	7	g(k2	g(k2	X
ejpam-3028	344	8	)	)	PUNCT
ejpam-3028	344	9	=	=	SYM
ejpam-3028	344	10	{	{	PUNCT
ejpam-3028	344	11	y	y	PROPN
ejpam-3028	344	12	,	,	PUNCT
ejpam-3028	344	13	z	z	NOUN
ejpam-3028	344	14	}	}	PUNCT
ejpam-3028	344	15	.	.	PUNCT
ejpam-3028	345	1	f.	f.	PROPN
ejpam-3028	345	2	a.	a.	PROPN
ejpam-3028	345	3	gharib	gharib	PROPN
ejpam-3028	345	4	et	et	PROPN
ejpam-3028	345	5	al	al	PROPN
ejpam-3028	345	6	.	.	PUNCT
ejpam-3028	345	7	/	/	SYM
ejpam-3028	345	8	eur	eur	PROPN
ejpam-3028	345	9	.	.	PUNCT
ejpam-3028	346	1	j.	j.	PROPN
ejpam-3028	346	2	pure	pure	PROPN
ejpam-3028	346	3	appl	appl	PROPN
ejpam-3028	346	4	.	.	PROPN
ejpam-3028	346	5	math	math	PROPN
ejpam-3028	346	6	,	,	PUNCT
ejpam-3028	346	7	10	10	NUM
ejpam-3028	346	8	(	(	PUNCT
ejpam-3028	346	9	4	4	NUM
ejpam-3028	346	10	)	)	PUNCT
ejpam-3028	346	11	(	(	PUNCT
ejpam-3028	346	12	2017	2017	NUM
ejpam-3028	346	13	)	)	PUNCT
ejpam-3028	346	14	,	,	PUNCT
ejpam-3028	346	15	835	835	NUM
ejpam-3028	346	16	-	-	SYM
ejpam-3028	346	17	849	849	NUM
ejpam-3028	346	18	846	846	NUM
ejpam-3028	346	19	let	let	VERB
ejpam-3028	346	20	fpu	fpu	PROPN
ejpam-3028	346	21	:	:	PUNCT
ejpam-3028	346	22	(	(	PUNCT
ejpam-3028	346	23	x	x	NOUN
ejpam-3028	346	24	,	,	PUNCT
ejpam-3028	346	25	τ1	τ1	NOUN
ejpam-3028	346	26	,	,	PUNCT
ejpam-3028	346	27	a)→	a)→	NOUN
ejpam-3028	346	28	(	(	PUNCT
ejpam-3028	346	29	y	y	PROPN
ejpam-3028	346	30	,	,	PUNCT
ejpam-3028	346	31	τ2	τ2	PROPN
ejpam-3028	346	32	,	,	PUNCT
ejpam-3028	346	33	b	b	NOUN
ejpam-3028	346	34	)	)	PUNCT
ejpam-3028	346	35	be	be	AUX
ejpam-3028	346	36	a	a	DET
ejpam-3028	346	37	soft	soft	ADJ
ejpam-3028	346	38	function	function	NOUN
ejpam-3028	346	39	.	.	PUNCT
ejpam-3028	347	1	then	then	ADV
ejpam-3028	347	2	,	,	PUNCT
ejpam-3028	347	3	f−1pu	f−1pu	PROPN
ejpam-3028	347	4	(	(	PUNCT
ejpam-3028	347	5	(	(	PUNCT
ejpam-3028	347	6	g	g	NOUN
ejpam-3028	347	7	,	,	PUNCT
ejpam-3028	347	8	b	b	NOUN
ejpam-3028	347	9	)	)	PUNCT
ejpam-3028	347	10	)	)	PUNCT
ejpam-3028	347	11	=	=	PRON
ejpam-3028	347	12	{	{	PUNCT
ejpam-3028	347	13	(	(	PUNCT
ejpam-3028	347	14	e1	e1	NOUN
ejpam-3028	347	15	,	,	PUNCT
ejpam-3028	347	16	{	{	PUNCT
ejpam-3028	347	17	a	a	PRON
ejpam-3028	347	18	,	,	PUNCT
ejpam-3028	347	19	b	b	NOUN
ejpam-3028	347	20	}	}	PUNCT
ejpam-3028	347	21	)	)	PUNCT
ejpam-3028	347	22	,	,	PUNCT
ejpam-3028	347	23	(	(	PUNCT
ejpam-3028	347	24	e2	e2	PROPN
ejpam-3028	347	25	,	,	PUNCT
ejpam-3028	347	26	{	{	PUNCT
ejpam-3028	347	27	a	a	PRON
ejpam-3028	347	28	,	,	PUNCT
ejpam-3028	347	29	d	d	NOUN
ejpam-3028	347	30	}	}	PUNCT
ejpam-3028	347	31	)	)	PUNCT
ejpam-3028	347	32	}	}	PUNCT
ejpam-3028	347	33	is	be	AUX
ejpam-3028	347	34	a	a	DET
ejpam-3028	347	35	supra	supra	PROPN
ejpam-3028	347	36	soft	soft	ADJ
ejpam-3028	347	37	p	p	NOUN
ejpam-3028	347	38	-locally	-locally	ADV
ejpam-3028	347	39	closed	close	VERB
ejpam-3028	347	40	in	in	ADP
ejpam-3028	347	41	x	x	NOUN
ejpam-3028	347	42	,	,	PUNCT
ejpam-3028	347	43	but	but	CCONJ
ejpam-3028	347	44	it	it	PRON
ejpam-3028	347	45	is	be	AUX
ejpam-3028	347	46	not	not	PART
ejpam-3028	347	47	supra	supra	ADJ
ejpam-3028	347	48	soft	soft	ADJ
ejpam-3028	347	49	α	α	NOUN
ejpam-3028	347	50	-	-	ADJ
ejpam-3028	347	51	locally	locally	ADV
ejpam-3028	347	52	closed	close	VERB
ejpam-3028	347	53	.	.	PUNCT
ejpam-3028	348	1	hence	hence	ADV
ejpam-3028	348	2	,	,	PUNCT
ejpam-3028	348	3	fpu	fpu	PROPN
ejpam-3028	348	4	is	be	AUX
ejpam-3028	348	5	a	a	DET
ejpam-3028	348	6	supra	supra	ADJ
ejpam-3028	348	7	splc	splc	NOUN
ejpam-3028	348	8	-	-	ADJ
ejpam-3028	348	9	continuous	continuous	ADJ
ejpam-3028	348	10	,	,	PUNCT
ejpam-3028	348	11	but	but	CCONJ
ejpam-3028	348	12	it	it	PRON
ejpam-3028	348	13	is	be	AUX
ejpam-3028	348	14	not	not	PART
ejpam-3028	348	15	supra	supra	ADJ
ejpam-3028	348	16	soft	soft	ADJ
ejpam-3028	348	17	sαlc	sαlc	NOUN
ejpam-3028	348	18	-	-	PUNCT
ejpam-3028	348	19	continuous	continuous	ADJ
ejpam-3028	348	20	.	.	PUNCT
ejpam-3028	349	1	let	let	AUX
ejpam-3028	349	2	(	(	PUNCT
ejpam-3028	349	3	x	x	NOUN
ejpam-3028	349	4	,	,	PUNCT
ejpam-3028	349	5	τ1	τ1	PROPN
ejpam-3028	349	6	,	,	PUNCT
ejpam-3028	349	7	a	a	PRON
ejpam-3028	349	8	)	)	PUNCT
ejpam-3028	349	9	and	and	CCONJ
ejpam-3028	349	10	(	(	PUNCT
ejpam-3028	349	11	y	y	PROPN
ejpam-3028	349	12	,	,	PUNCT
ejpam-3028	349	13	τ2	τ2	PROPN
ejpam-3028	349	14	,	,	PUNCT
ejpam-3028	349	15	b	b	NOUN
ejpam-3028	349	16	)	)	PUNCT
ejpam-3028	349	17	be	be	AUX
ejpam-3028	349	18	soft	soft	ADJ
ejpam-3028	349	19	topological	topological	ADJ
ejpam-3028	349	20	spaces	space	NOUN
ejpam-3028	349	21	.	.	PUNCT
ejpam-3028	350	1	let	let	VERB
ejpam-3028	350	2	µ1	µ1	PROPN
ejpam-3028	350	3	be	be	AUX
ejpam-3028	350	4	an	an	DET
ejpam-3028	350	5	associated	associated	ADJ
ejpam-3028	350	6	supra	supra	PROPN
ejpam-3028	350	7	soft	soft	ADJ
ejpam-3028	350	8	topology	topology	NOUN
ejpam-3028	350	9	with	with	ADP
ejpam-3028	350	10	τ1	τ1	NOUN
ejpam-3028	350	11	.	.	PUNCT
ejpam-3028	351	1	let	let	VERB
ejpam-3028	351	2	u	u	PRON
ejpam-3028	351	3	:	:	PUNCT
ejpam-3028	351	4	x	x	SYM
ejpam-3028	351	5	→	→	SYM
ejpam-3028	351	6	y	y	PROPN
ejpam-3028	351	7	and	and	CCONJ
ejpam-3028	351	8	p	p	X
ejpam-3028	351	9	:	:	PUNCT
ejpam-3028	351	10	a→	a→	PROPN
ejpam-3028	351	11	b	b	NOUN
ejpam-3028	351	12	be	be	AUX
ejpam-3028	351	13	mappings	mapping	NOUN
ejpam-3028	351	14	.	.	PUNCT
ejpam-3028	352	1	let	let	AUX
ejpam-3028	352	2	fpu	fpu	PROPN
ejpam-3028	352	3	:	:	PUNCT
ejpam-3028	352	4	ss(x)a	ss(x)a	PROPN
ejpam-3028	352	5	→	→	SYM
ejpam-3028	352	6	ss(y	ss(y	NUM
ejpam-3028	352	7	)	)	PUNCT
ejpam-3028	352	8	b	b	X
ejpam-3028	352	9	be	be	AUX
ejpam-3028	352	10	a	a	DET
ejpam-3028	352	11	function	function	NOUN
ejpam-3028	352	12	.	.	PUNCT
ejpam-3028	353	1	then	then	ADV
ejpam-3028	353	2	,	,	PUNCT
ejpam-3028	353	3	every	every	DET
ejpam-3028	353	4	supra	supra	PROPN
ejpam-3028	353	5	slc	slc	PROPN
ejpam-3028	353	6	-	-	PUNCT
ejpam-3028	353	7	continuous	continuous	ADJ
ejpam-3028	353	8	function	function	NOUN
ejpam-3028	353	9	is	be	AUX
ejpam-3028	353	10	a	a	DET
ejpam-3028	353	11	supra	supra	PROPN
ejpam-3028	353	12	splc(resp	splc(resp	PROPN
ejpam-3028	353	13	.	.	PUNCT
ejpam-3028	354	1	supra	supra	PROPN
ejpam-3028	354	2	sp	sp	ADP
ejpam-3028	354	3	∗lcand	∗lcand	PROPN
ejpam-3028	354	4	supra	supra	NOUN
ejpam-3028	354	5	sp	sp	ADP
ejpam-3028	354	6	∗∗lc)-continuous	∗∗lc)-continuous	ADJ
ejpam-3028	354	7	.	.	PUNCT
ejpam-3028	355	1	proof	proof	NOUN
ejpam-3028	355	2	.	.	PUNCT
ejpam-3028	356	1	follows	follow	VERB
ejpam-3028	356	2	from	from	ADP
ejpam-3028	356	3	theorem	theorem	ADJ
ejpam-3028	356	4	3	3	NUM
ejpam-3028	356	5	.	.	NOUN
ejpam-3028	356	6	remark	remark	NOUN
ejpam-3028	356	7	11	11	NUM
ejpam-3028	356	8	.	.	PUNCT
ejpam-3028	357	1	the	the	DET
ejpam-3028	357	2	converse	converse	NOUN
ejpam-3028	357	3	of	of	ADP
ejpam-3028	357	4	theorem	theorem	NOUN
ejpam-3028	357	5	4	4	NUM
ejpam-3028	357	6	is	be	AUX
ejpam-3028	357	7	not	not	PART
ejpam-3028	357	8	true	true	ADJ
ejpam-3028	357	9	in	in	ADP
ejpam-3028	357	10	general	general	ADJ
ejpam-3028	357	11	,	,	PUNCT
ejpam-3028	357	12	as	as	SCONJ
ejpam-3028	357	13	shown	show	VERB
ejpam-3028	357	14	in	in	ADP
ejpam-3028	357	15	the	the	DET
ejpam-3028	357	16	following	follow	VERB
ejpam-3028	357	17	examples	example	NOUN
ejpam-3028	357	18	.	.	PUNCT
ejpam-3028	358	1	(	(	PUNCT
ejpam-3028	358	2	1	1	X
ejpam-3028	358	3	)	)	PUNCT
ejpam-3028	358	4	in	in	ADP
ejpam-3028	358	5	examples	example	NOUN
ejpam-3028	358	6	4	4	NUM
ejpam-3028	358	7	(	(	PUNCT
ejpam-3028	358	8	2	2	NUM
ejpam-3028	358	9	)	)	PUNCT
ejpam-3028	358	10	,	,	PUNCT
ejpam-3028	358	11	fpu	fpu	PROPN
ejpam-3028	358	12	is	be	AUX
ejpam-3028	358	13	a	a	DET
ejpam-3028	358	14	supra	supra	ADJ
ejpam-3028	358	15	splc	splc	NOUN
ejpam-3028	358	16	-	-	ADJ
ejpam-3028	358	17	continuous	continuous	ADJ
ejpam-3028	358	18	,	,	PUNCT
ejpam-3028	358	19	but	but	CCONJ
ejpam-3028	358	20	not	not	PART
ejpam-3028	358	21	supra	supra	PROPN
ejpam-3028	358	22	slc	slc	PROPN
ejpam-3028	358	23	-	-	PUNCT
ejpam-3028	358	24	continuous	continuous	ADJ
ejpam-3028	358	25	.	.	PUNCT
ejpam-3028	359	1	(	(	PUNCT
ejpam-3028	359	2	2	2	X
ejpam-3028	359	3	)	)	PUNCT
ejpam-3028	359	4	let	let	VERB
ejpam-3028	359	5	x	x	PUNCT
ejpam-3028	359	6	=	=	PRON
ejpam-3028	359	7	{	{	PUNCT
ejpam-3028	359	8	a	a	PRON
ejpam-3028	359	9	,	,	PUNCT
ejpam-3028	359	10	b	b	NOUN
ejpam-3028	359	11	,	,	PUNCT
ejpam-3028	359	12	c	c	NOUN
ejpam-3028	359	13	,	,	PUNCT
ejpam-3028	359	14	d	d	NOUN
ejpam-3028	359	15	}	}	PUNCT
ejpam-3028	359	16	,	,	PUNCT
ejpam-3028	359	17	y	y	PROPN
ejpam-3028	359	18	=	=	PRON
ejpam-3028	359	19	{	{	PUNCT
ejpam-3028	359	20	x	x	PROPN
ejpam-3028	359	21	,	,	PUNCT
ejpam-3028	359	22	y	y	PROPN
ejpam-3028	359	23	,	,	PUNCT
ejpam-3028	359	24	z	z	NOUN
ejpam-3028	359	25	}	}	PUNCT
ejpam-3028	359	26	,	,	PUNCT
ejpam-3028	359	27	a	a	DET
ejpam-3028	359	28	=	=	X
ejpam-3028	359	29	{	{	PUNCT
ejpam-3028	359	30	e1	e1	PROPN
ejpam-3028	359	31	,	,	PUNCT
ejpam-3028	359	32	e2	e2	NOUN
ejpam-3028	359	33	}	}	PUNCT
ejpam-3028	359	34	and	and	CCONJ
ejpam-3028	359	35	b	b	X
ejpam-3028	359	36	=	=	SYM
ejpam-3028	359	37	{	{	PUNCT
ejpam-3028	359	38	k1	k1	PROPN
ejpam-3028	359	39	,	,	PUNCT
ejpam-3028	359	40	k2	k2	NOUN
ejpam-3028	359	41	}	}	PUNCT
ejpam-3028	359	42	.	.	PUNCT
ejpam-3028	360	1	define	define	VERB
ejpam-3028	360	2	u	u	NOUN
ejpam-3028	360	3	:	:	PUNCT
ejpam-3028	360	4	x	x	SYM
ejpam-3028	360	5	→	→	SYM
ejpam-3028	360	6	y	y	PROPN
ejpam-3028	360	7	and	and	CCONJ
ejpam-3028	360	8	p	p	X
ejpam-3028	360	9	:	:	PUNCT
ejpam-3028	360	10	a→	a→	PROPN
ejpam-3028	360	11	b	b	NOUN
ejpam-3028	360	12	as	as	SCONJ
ejpam-3028	360	13	follows	follow	VERB
ejpam-3028	360	14	:	:	PUNCT
ejpam-3028	360	15	u(a	u(a	PROPN
ejpam-3028	360	16	)	)	PUNCT
ejpam-3028	360	17	=	=	PRON
ejpam-3028	360	18	{	{	PUNCT
ejpam-3028	360	19	z	z	NOUN
ejpam-3028	360	20	}	}	PUNCT
ejpam-3028	360	21	,	,	PUNCT
ejpam-3028	360	22	u(b	u(b	NOUN
ejpam-3028	360	23	)	)	PUNCT
ejpam-3028	360	24	=	=	PRON
ejpam-3028	360	25	{	{	PUNCT
ejpam-3028	360	26	y	y	NOUN
ejpam-3028	360	27	}	}	PUNCT
ejpam-3028	360	28	,	,	PUNCT
ejpam-3028	360	29	u(c	u(c	PROPN
ejpam-3028	360	30	)	)	PUNCT
ejpam-3028	360	31	=	=	PRON
ejpam-3028	360	32	{	{	PUNCT
ejpam-3028	360	33	y	y	NOUN
ejpam-3028	360	34	}	}	PUNCT
ejpam-3028	360	35	,	,	PUNCT
ejpam-3028	360	36	u(d	u(d	PROPN
ejpam-3028	360	37	)	)	PUNCT
ejpam-3028	360	38	=	=	PRON
ejpam-3028	360	39	{	{	PUNCT
ejpam-3028	360	40	x	x	NOUN
ejpam-3028	360	41	}	}	PUNCT
ejpam-3028	360	42	and	and	CCONJ
ejpam-3028	360	43	p(e1	p(e1	NOUN
ejpam-3028	360	44	)	)	PUNCT
ejpam-3028	361	1	=	=	PRON
ejpam-3028	361	2	{	{	PUNCT
ejpam-3028	361	3	k2	k2	NOUN
ejpam-3028	361	4	}	}	PUNCT
ejpam-3028	361	5	,	,	PUNCT
ejpam-3028	361	6	p(e2	p(e2	NOUN
ejpam-3028	361	7	)	)	PUNCT
ejpam-3028	361	8	=	=	SYM
ejpam-3028	361	9	{	{	PUNCT
ejpam-3028	361	10	k1	k1	NOUN
ejpam-3028	361	11	}	}	PUNCT
ejpam-3028	361	12	.	.	PUNCT
ejpam-3028	362	1	let	let	VERB
ejpam-3028	362	2	(	(	PUNCT
ejpam-3028	362	3	x	x	NOUN
ejpam-3028	362	4	,	,	PUNCT
ejpam-3028	362	5	τ1	τ1	PROPN
ejpam-3028	362	6	,	,	PUNCT
ejpam-3028	362	7	a	a	PRON
ejpam-3028	362	8	)	)	PUNCT
ejpam-3028	362	9	be	be	AUX
ejpam-3028	362	10	a	a	DET
ejpam-3028	362	11	soft	soft	ADJ
ejpam-3028	362	12	topological	topological	ADJ
ejpam-3028	362	13	space	space	NOUN
ejpam-3028	362	14	over	over	ADP
ejpam-3028	362	15	x	x	SYM
ejpam-3028	362	16	where	where	SCONJ
ejpam-3028	362	17	,	,	PUNCT
ejpam-3028	362	18	τ1	τ1	NOUN
ejpam-3028	362	19	=	=	SYM
ejpam-3028	362	20	{	{	PUNCT
ejpam-3028	362	21	x̃	x̃	PROPN
ejpam-3028	362	22	,	,	PUNCT
ejpam-3028	362	23	ϕ̃	ϕ̃	PROPN
ejpam-3028	362	24	,	,	PUNCT
ejpam-3028	362	25	(	(	PUNCT
ejpam-3028	362	26	f1	f1	NOUN
ejpam-3028	362	27	,	,	PUNCT
ejpam-3028	362	28	a	a	NOUN
ejpam-3028	362	29	)	)	PUNCT
ejpam-3028	362	30	}	}	PUNCT
ejpam-3028	362	31	,	,	PUNCT
ejpam-3028	362	32	where	where	SCONJ
ejpam-3028	362	33	(	(	PUNCT
ejpam-3028	362	34	f1	f1	NOUN
ejpam-3028	362	35	,	,	PUNCT
ejpam-3028	362	36	a	a	PRON
ejpam-3028	362	37	)	)	PUNCT
ejpam-3028	362	38	is	be	AUX
ejpam-3028	362	39	a	a	DET
ejpam-3028	362	40	soft	soft	ADJ
ejpam-3028	362	41	set	set	NOUN
ejpam-3028	362	42	over	over	ADP
ejpam-3028	362	43	x	x	PUNCT
ejpam-3028	362	44	defined	define	VERB
ejpam-3028	362	45	as	as	SCONJ
ejpam-3028	362	46	follows	follow	VERB
ejpam-3028	362	47	:	:	PUNCT
ejpam-3028	362	48	f1(e1	f1(e1	X
ejpam-3028	362	49	)	)	PUNCT
ejpam-3028	363	1	=	=	PUNCT
ejpam-3028	363	2	{	{	PUNCT
ejpam-3028	363	3	b	b	NOUN
ejpam-3028	363	4	,	,	PUNCT
ejpam-3028	363	5	c	c	NOUN
ejpam-3028	363	6	}	}	PUNCT
ejpam-3028	363	7	,	,	PUNCT
ejpam-3028	363	8	f1(e2	f1(e2	NOUN
ejpam-3028	363	9	)	)	PUNCT
ejpam-3028	363	10	=	=	PRON
ejpam-3028	364	1	{	{	PUNCT
ejpam-3028	364	2	a	a	X
ejpam-3028	364	3	,	,	PUNCT
ejpam-3028	364	4	c	c	NOUN
ejpam-3028	364	5	}	}	PUNCT
ejpam-3028	364	6	.	.	PUNCT
ejpam-3028	365	1	consider	consider	VERB
ejpam-3028	365	2	the	the	DET
ejpam-3028	365	3	supra	supra	PROPN
ejpam-3028	365	4	soft	soft	ADJ
ejpam-3028	365	5	topology	topology	NOUN
ejpam-3028	365	6	µ1	µ1	NOUN
ejpam-3028	365	7	=	=	SYM
ejpam-3028	365	8	{	{	PUNCT
ejpam-3028	365	9	x̃	x̃	PROPN
ejpam-3028	365	10	,	,	PUNCT
ejpam-3028	365	11	ϕ̃	ϕ̃	PROPN
ejpam-3028	365	12	,	,	PUNCT
ejpam-3028	365	13	(	(	PUNCT
ejpam-3028	365	14	f1	f1	NOUN
ejpam-3028	365	15	,	,	PUNCT
ejpam-3028	365	16	a	a	PRON
ejpam-3028	365	17	)	)	PUNCT
ejpam-3028	365	18	,	,	PUNCT
ejpam-3028	365	19	.......	.......	PUNCT
ejpam-3028	365	20	,	,	PUNCT
ejpam-3028	365	21	(	(	PUNCT
ejpam-3028	365	22	f5	f5	NOUN
ejpam-3028	365	23	,	,	PUNCT
ejpam-3028	365	24	a	a	NOUN
ejpam-3028	365	25	)	)	PUNCT
ejpam-3028	365	26	}	}	PUNCT
ejpam-3028	365	27	in	in	ADP
ejpam-3028	365	28	example	example	NOUN
ejpam-3028	365	29	1	1	X
ejpam-3028	365	30	.	.	PUNCT
ejpam-3028	366	1	let	let	AUX
ejpam-3028	366	2	(	(	PUNCT
ejpam-3028	366	3	y	y	NOUN
ejpam-3028	366	4	,	,	PUNCT
ejpam-3028	366	5	τ2	τ2	PROPN
ejpam-3028	366	6	,	,	PUNCT
ejpam-3028	366	7	b	b	NOUN
ejpam-3028	366	8	)	)	PUNCT
ejpam-3028	366	9	be	be	AUX
ejpam-3028	366	10	a	a	DET
ejpam-3028	366	11	soft	soft	ADJ
ejpam-3028	366	12	topological	topological	ADJ
ejpam-3028	366	13	space	space	NOUN
ejpam-3028	366	14	over	over	ADP
ejpam-3028	366	15	y	y	PROPN
ejpam-3028	366	16	where	where	SCONJ
ejpam-3028	366	17	,	,	PUNCT
ejpam-3028	366	18	τ2	τ2	NOUN
ejpam-3028	366	19	=	=	PUNCT
ejpam-3028	366	20	{	{	PUNCT
ejpam-3028	366	21	ỹ	ỹ	PROPN
ejpam-3028	366	22	,	,	PUNCT
ejpam-3028	366	23	ϕ̃	ϕ̃	PROPN
ejpam-3028	366	24	,	,	PUNCT
ejpam-3028	366	25	(	(	PUNCT
ejpam-3028	366	26	g	g	NOUN
ejpam-3028	366	27	,	,	PUNCT
ejpam-3028	366	28	b	b	NOUN
ejpam-3028	366	29	)	)	PUNCT
ejpam-3028	366	30	}	}	PUNCT
ejpam-3028	366	31	,	,	PUNCT
ejpam-3028	366	32	where	where	SCONJ
ejpam-3028	366	33	(	(	PUNCT
ejpam-3028	366	34	g	g	NOUN
ejpam-3028	366	35	,	,	PUNCT
ejpam-3028	366	36	b	b	NOUN
ejpam-3028	366	37	)	)	PUNCT
ejpam-3028	366	38	is	be	AUX
ejpam-3028	366	39	a	a	DET
ejpam-3028	366	40	soft	soft	ADJ
ejpam-3028	366	41	set	set	NOUN
ejpam-3028	366	42	over	over	ADP
ejpam-3028	366	43	y	y	PROPN
ejpam-3028	366	44	defined	define	VERB
ejpam-3028	366	45	by	by	ADP
ejpam-3028	366	46	:	:	PUNCT
ejpam-3028	366	47	g(k1	g(k1	NOUN
ejpam-3028	366	48	)	)	PUNCT
ejpam-3028	366	49	=	=	SYM
ejpam-3028	366	50	{	{	PUNCT
ejpam-3028	366	51	z	z	NOUN
ejpam-3028	366	52	}	}	PUNCT
ejpam-3028	366	53	,	,	PUNCT
ejpam-3028	366	54	g(k2	g(k2	PROPN
ejpam-3028	366	55	)	)	PUNCT
ejpam-3028	366	56	=	=	SYM
ejpam-3028	366	57	{	{	PUNCT
ejpam-3028	366	58	x	x	NOUN
ejpam-3028	366	59	}	}	PUNCT
ejpam-3028	366	60	.	.	PUNCT
ejpam-3028	367	1	let	let	AUX
ejpam-3028	367	2	fpu	fpu	VERB
ejpam-3028	367	3	:	:	PUNCT
ejpam-3028	367	4	(	(	PUNCT
ejpam-3028	367	5	x	x	NOUN
ejpam-3028	367	6	,	,	PUNCT
ejpam-3028	367	7	τ1	τ1	NOUN
ejpam-3028	367	8	,	,	PUNCT
ejpam-3028	367	9	a)→	a)→	NOUN
ejpam-3028	367	10	(	(	PUNCT
ejpam-3028	367	11	y	y	PROPN
ejpam-3028	367	12	,	,	PUNCT
ejpam-3028	367	13	τ2	τ2	PROPN
ejpam-3028	367	14	,	,	PUNCT
ejpam-3028	367	15	b	b	NOUN
ejpam-3028	367	16	)	)	PUNCT
ejpam-3028	367	17	be	be	AUX
ejpam-3028	367	18	a	a	DET
ejpam-3028	367	19	soft	soft	ADJ
ejpam-3028	367	20	function	function	NOUN
ejpam-3028	367	21	.	.	PUNCT
ejpam-3028	368	1	then	then	ADV
ejpam-3028	368	2	,	,	PUNCT
ejpam-3028	368	3	f−1pu	f−1pu	PROPN
ejpam-3028	368	4	(	(	PUNCT
ejpam-3028	368	5	(	(	PUNCT
ejpam-3028	368	6	g	g	NOUN
ejpam-3028	368	7	,	,	PUNCT
ejpam-3028	368	8	b	b	NOUN
ejpam-3028	368	9	)	)	PUNCT
ejpam-3028	368	10	)	)	PUNCT
ejpam-3028	368	11	=	=	PRON
ejpam-3028	368	12	{	{	PUNCT
ejpam-3028	368	13	(	(	PUNCT
ejpam-3028	368	14	e1	e1	PROPN
ejpam-3028	368	15	,	,	PUNCT
ejpam-3028	368	16	{	{	PUNCT
ejpam-3028	368	17	a	a	NOUN
ejpam-3028	368	18	}	}	PUNCT
ejpam-3028	368	19	)	)	PUNCT
ejpam-3028	368	20	,	,	PUNCT
ejpam-3028	368	21	(	(	PUNCT
ejpam-3028	368	22	e2	e2	PROPN
ejpam-3028	368	23	,	,	PUNCT
ejpam-3028	368	24	{	{	PUNCT
ejpam-3028	368	25	d	d	NOUN
ejpam-3028	368	26	}	}	PUNCT
ejpam-3028	368	27	)	)	PUNCT
ejpam-3028	368	28	}	}	PUNCT
ejpam-3028	368	29	is	be	AUX
ejpam-3028	368	30	a	a	DET
ejpam-3028	368	31	supra	supra	PROPN
ejpam-3028	368	32	soft	soft	ADJ
ejpam-3028	368	33	p	p	NOUN
ejpam-3028	368	34	∗-locally	∗-locally	ADV
ejpam-3028	368	35	closed	close	VERB
ejpam-3028	368	36	in	in	ADP
ejpam-3028	368	37	x	x	NOUN
ejpam-3028	368	38	,	,	PUNCT
ejpam-3028	368	39	but	but	CCONJ
ejpam-3028	368	40	not	not	PART
ejpam-3028	368	41	supra	supra	NOUN
ejpam-3028	368	42	soft	soft	ADJ
ejpam-3028	368	43	locally	locally	ADV
ejpam-3028	368	44	closed	closed	ADJ
ejpam-3028	368	45	.	.	PUNCT
ejpam-3028	369	1	hence	hence	ADV
ejpam-3028	369	2	,	,	PUNCT
ejpam-3028	369	3	fpu	fpu	PROPN
ejpam-3028	369	4	is	be	AUX
ejpam-3028	369	5	a	a	DET
ejpam-3028	369	6	supra	supra	NOUN
ejpam-3028	369	7	sp	sp	ADP
ejpam-3028	369	8	∗lc	∗lc	NOUN
ejpam-3028	369	9	-	-	ADJ
ejpam-3028	369	10	continuous	continuous	ADJ
ejpam-3028	369	11	,	,	PUNCT
ejpam-3028	369	12	but	but	CCONJ
ejpam-3028	369	13	not	not	PART
ejpam-3028	369	14	supra	supra	PROPN
ejpam-3028	369	15	slc	slc	PROPN
ejpam-3028	369	16	-	-	PUNCT
ejpam-3028	369	17	continuous	continuous	ADJ
ejpam-3028	369	18	.	.	PUNCT
ejpam-3028	370	1	(	(	PUNCT
ejpam-3028	370	2	3	3	X
ejpam-3028	370	3	)	)	PUNCT
ejpam-3028	370	4	in	in	ADP
ejpam-3028	370	5	(	(	PUNCT
ejpam-3028	370	6	2	2	NUM
ejpam-3028	370	7	)	)	PUNCT
ejpam-3028	370	8	,	,	PUNCT
ejpam-3028	370	9	let	let	VERB
ejpam-3028	370	10	(	(	PUNCT
ejpam-3028	370	11	y	y	NOUN
ejpam-3028	370	12	,	,	PUNCT
ejpam-3028	370	13	τ2	τ2	PROPN
ejpam-3028	370	14	,	,	PUNCT
ejpam-3028	370	15	b	b	NOUN
ejpam-3028	370	16	)	)	PUNCT
ejpam-3028	370	17	be	be	AUX
ejpam-3028	370	18	a	a	DET
ejpam-3028	370	19	soft	soft	ADJ
ejpam-3028	370	20	topological	topological	ADJ
ejpam-3028	370	21	space	space	NOUN
ejpam-3028	370	22	over	over	ADP
ejpam-3028	370	23	y	y	PROPN
ejpam-3028	370	24	where	where	SCONJ
ejpam-3028	370	25	,	,	PUNCT
ejpam-3028	370	26	τ2	τ2	NOUN
ejpam-3028	370	27	=	=	PUNCT
ejpam-3028	370	28	{	{	PUNCT
ejpam-3028	370	29	ỹ	ỹ	PROPN
ejpam-3028	370	30	,	,	PUNCT
ejpam-3028	370	31	ϕ̃	ϕ̃	PROPN
ejpam-3028	370	32	,	,	PUNCT
ejpam-3028	370	33	(	(	PUNCT
ejpam-3028	370	34	g	g	NOUN
ejpam-3028	370	35	,	,	PUNCT
ejpam-3028	370	36	b	b	NOUN
ejpam-3028	370	37	)	)	PUNCT
ejpam-3028	370	38	}	}	PUNCT
ejpam-3028	370	39	,	,	PUNCT
ejpam-3028	370	40	where	where	SCONJ
ejpam-3028	370	41	(	(	PUNCT
ejpam-3028	370	42	g	g	NOUN
ejpam-3028	370	43	,	,	PUNCT
ejpam-3028	370	44	b	b	NOUN
ejpam-3028	370	45	)	)	PUNCT
ejpam-3028	370	46	is	be	AUX
ejpam-3028	370	47	a	a	DET
ejpam-3028	370	48	soft	soft	ADJ
ejpam-3028	370	49	set	set	NOUN
ejpam-3028	370	50	over	over	ADP
ejpam-3028	370	51	y	y	PROPN
ejpam-3028	370	52	defined	define	VERB
ejpam-3028	370	53	by	by	ADP
ejpam-3028	370	54	:	:	PUNCT
ejpam-3028	370	55	g(k1	g(k1	NOUN
ejpam-3028	370	56	)	)	PUNCT
ejpam-3028	370	57	=	=	SYM
ejpam-3028	370	58	{	{	PUNCT
ejpam-3028	370	59	z	z	NOUN
ejpam-3028	370	60	}	}	PUNCT
ejpam-3028	370	61	,	,	PUNCT
ejpam-3028	370	62	g(k2	g(k2	PROPN
ejpam-3028	370	63	)	)	PUNCT
ejpam-3028	370	64	=	=	SYM
ejpam-3028	370	65	{	{	PUNCT
ejpam-3028	370	66	y	y	NOUN
ejpam-3028	370	67	}	}	PUNCT
ejpam-3028	370	68	.	.	PUNCT
ejpam-3028	371	1	let	let	AUX
ejpam-3028	371	2	fpu	fpu	VERB
ejpam-3028	371	3	:	:	PUNCT
ejpam-3028	371	4	(	(	PUNCT
ejpam-3028	371	5	x	x	NOUN
ejpam-3028	371	6	,	,	PUNCT
ejpam-3028	371	7	τ1	τ1	NOUN
ejpam-3028	371	8	,	,	PUNCT
ejpam-3028	371	9	a)→	a)→	NOUN
ejpam-3028	371	10	(	(	PUNCT
ejpam-3028	371	11	y	y	PROPN
ejpam-3028	371	12	,	,	PUNCT
ejpam-3028	371	13	τ2	τ2	PROPN
ejpam-3028	371	14	,	,	PUNCT
ejpam-3028	371	15	b	b	NOUN
ejpam-3028	371	16	)	)	PUNCT
ejpam-3028	371	17	be	be	AUX
ejpam-3028	371	18	a	a	DET
ejpam-3028	371	19	soft	soft	ADJ
ejpam-3028	371	20	function	function	NOUN
ejpam-3028	371	21	.	.	PUNCT
ejpam-3028	372	1	then	then	ADV
ejpam-3028	372	2	,	,	PUNCT
ejpam-3028	372	3	f−1pu	f−1pu	PROPN
ejpam-3028	372	4	(	(	PUNCT
ejpam-3028	372	5	(	(	PUNCT
ejpam-3028	372	6	g	g	NOUN
ejpam-3028	372	7	,	,	PUNCT
ejpam-3028	372	8	b	b	NOUN
ejpam-3028	372	9	)	)	PUNCT
ejpam-3028	372	10	)	)	PUNCT
ejpam-3028	372	11	=	=	PRON
ejpam-3028	372	12	{	{	PUNCT
ejpam-3028	372	13	(	(	PUNCT
ejpam-3028	372	14	e1	e1	PROPN
ejpam-3028	372	15	,	,	PUNCT
ejpam-3028	372	16	{	{	PUNCT
ejpam-3028	372	17	a	a	NOUN
ejpam-3028	372	18	}	}	PUNCT
ejpam-3028	372	19	)	)	PUNCT
ejpam-3028	372	20	,	,	PUNCT
ejpam-3028	372	21	(	(	PUNCT
ejpam-3028	372	22	e2	e2	PROPN
ejpam-3028	372	23	,	,	PUNCT
ejpam-3028	372	24	{	{	PUNCT
ejpam-3028	372	25	b	b	NOUN
ejpam-3028	372	26	,	,	PUNCT
ejpam-3028	372	27	c	c	NOUN
ejpam-3028	372	28	}	}	PUNCT
ejpam-3028	372	29	)	)	PUNCT
ejpam-3028	372	30	}	}	PUNCT
ejpam-3028	372	31	is	be	AUX
ejpam-3028	372	32	a	a	DET
ejpam-3028	372	33	supra	supra	PROPN
ejpam-3028	372	34	soft	soft	ADJ
ejpam-3028	372	35	p	p	X
ejpam-3028	372	36	∗∗-locally	∗∗-locally	ADV
ejpam-3028	372	37	closed	close	VERB
ejpam-3028	372	38	in	in	ADP
ejpam-3028	372	39	x	x	NOUN
ejpam-3028	372	40	,	,	PUNCT
ejpam-3028	372	41	but	but	CCONJ
ejpam-3028	372	42	not	not	PART
ejpam-3028	372	43	supra	supra	NOUN
ejpam-3028	372	44	soft	soft	ADJ
ejpam-3028	372	45	locally	locally	ADV
ejpam-3028	372	46	closed	closed	ADJ
ejpam-3028	372	47	.	.	PUNCT
ejpam-3028	373	1	hence	hence	ADV
ejpam-3028	373	2	,	,	PUNCT
ejpam-3028	373	3	fpu	fpu	PROPN
ejpam-3028	373	4	is	be	AUX
ejpam-3028	373	5	a	a	DET
ejpam-3028	373	6	supra	supra	NOUN
ejpam-3028	373	7	sp	sp	ADP
ejpam-3028	373	8	∗∗lc	∗∗lc	NOUN
ejpam-3028	373	9	-	-	PUNCT
ejpam-3028	373	10	continuous	continuous	ADJ
ejpam-3028	373	11	,	,	PUNCT
ejpam-3028	373	12	but	but	CCONJ
ejpam-3028	373	13	not	not	PART
ejpam-3028	373	14	supra	supra	PROPN
ejpam-3028	373	15	slc	slc	PROPN
ejpam-3028	373	16	-	-	PUNCT
ejpam-3028	373	17	continuous	continuous	ADJ
ejpam-3028	373	18	.	.	PUNCT
ejpam-3028	374	1	let	let	AUX
ejpam-3028	374	2	(	(	PUNCT
ejpam-3028	374	3	x	x	NOUN
ejpam-3028	374	4	,	,	PUNCT
ejpam-3028	374	5	τ1	τ1	PROPN
ejpam-3028	374	6	,	,	PUNCT
ejpam-3028	374	7	a	a	PRON
ejpam-3028	374	8	)	)	PUNCT
ejpam-3028	374	9	and	and	CCONJ
ejpam-3028	374	10	(	(	PUNCT
ejpam-3028	374	11	y	y	PROPN
ejpam-3028	374	12	,	,	PUNCT
ejpam-3028	374	13	τ2	τ2	PROPN
ejpam-3028	374	14	,	,	PUNCT
ejpam-3028	374	15	b	b	NOUN
ejpam-3028	374	16	)	)	PUNCT
ejpam-3028	374	17	be	be	AUX
ejpam-3028	374	18	soft	soft	ADJ
ejpam-3028	374	19	topological	topological	ADJ
ejpam-3028	374	20	spaces	space	NOUN
ejpam-3028	374	21	.	.	PUNCT
ejpam-3028	375	1	let	let	VERB
ejpam-3028	375	2	µ1	µ1	PROPN
ejpam-3028	375	3	be	be	AUX
ejpam-3028	375	4	an	an	DET
ejpam-3028	375	5	associated	associated	ADJ
ejpam-3028	375	6	supra	supra	PROPN
ejpam-3028	375	7	soft	soft	ADJ
ejpam-3028	375	8	topology	topology	NOUN
ejpam-3028	375	9	with	with	ADP
ejpam-3028	375	10	τ1	τ1	NOUN
ejpam-3028	375	11	.	.	PUNCT
ejpam-3028	376	1	let	let	VERB
ejpam-3028	376	2	u	u	PRON
ejpam-3028	376	3	:	:	PUNCT
ejpam-3028	376	4	x	x	SYM
ejpam-3028	376	5	→	→	SYM
ejpam-3028	376	6	y	y	PROPN
ejpam-3028	376	7	and	and	CCONJ
ejpam-3028	376	8	p	p	X
ejpam-3028	376	9	:	:	PUNCT
ejpam-3028	376	10	a→	a→	PROPN
ejpam-3028	376	11	b	b	NOUN
ejpam-3028	376	12	be	be	AUX
ejpam-3028	376	13	mappings	mapping	NOUN
ejpam-3028	376	14	.	.	PUNCT
ejpam-3028	377	1	let	let	AUX
ejpam-3028	377	2	fpu	fpu	PROPN
ejpam-3028	377	3	:	:	PUNCT
ejpam-3028	377	4	ss(x)a	ss(x)a	PROPN
ejpam-3028	377	5	→	→	SYM
ejpam-3028	377	6	ss(y	ss(y	NUM
ejpam-3028	377	7	)	)	PUNCT
ejpam-3028	377	8	b	b	X
ejpam-3028	377	9	be	be	AUX
ejpam-3028	377	10	a	a	DET
ejpam-3028	377	11	function	function	NOUN
ejpam-3028	377	12	.	.	PUNCT
ejpam-3028	378	1	then	then	ADV
ejpam-3028	378	2	,	,	PUNCT
ejpam-3028	378	3	every	every	DET
ejpam-3028	378	4	supra	supra	PROPN
ejpam-3028	378	5	soft	soft	ADJ
ejpam-3028	378	6	a	a	PRON
ejpam-3028	378	7	-	-	PUNCT
ejpam-3028	378	8	continuous	continuous	ADJ
ejpam-3028	378	9	function	function	NOUN
ejpam-3028	378	10	is	be	AUX
ejpam-3028	378	11	a	a	DET
ejpam-3028	378	12	supra	supra	PROPN
ejpam-3028	378	13	splc(resp	splc(resp	PROPN
ejpam-3028	378	14	.	.	PUNCT
ejpam-3028	379	1	supra	supra	PROPN
ejpam-3028	379	2	sp	sp	ADP
ejpam-3028	379	3	∗lcand	∗lcand	PROPN
ejpam-3028	379	4	supra	supra	NOUN
ejpam-3028	379	5	sp	sp	ADP
ejpam-3028	379	6	∗∗lc)-continuous	∗∗lc)-continuous	ADJ
ejpam-3028	379	7	.	.	PUNCT
ejpam-3028	380	1	proof	proof	NOUN
ejpam-3028	380	2	.	.	PUNCT
ejpam-3028	381	1	it	it	PRON
ejpam-3028	381	2	is	be	AUX
ejpam-3028	381	3	obvious	obvious	ADJ
ejpam-3028	381	4	from	from	ADP
ejpam-3028	381	5	theorem	theorem	ADJ
ejpam-3028	381	6	3	3	NUM
ejpam-3028	381	7	.	.	NOUN
ejpam-3028	381	8	remark	remark	PROPN
ejpam-3028	381	9	12	12	NUM
ejpam-3028	381	10	.	.	PUNCT
ejpam-3028	382	1	the	the	DET
ejpam-3028	382	2	converse	converse	NOUN
ejpam-3028	382	3	of	of	ADP
ejpam-3028	382	4	theorem	theorem	NOUN
ejpam-3028	382	5	4	4	NUM
ejpam-3028	382	6	is	be	AUX
ejpam-3028	382	7	not	not	PART
ejpam-3028	382	8	true	true	ADJ
ejpam-3028	382	9	in	in	ADP
ejpam-3028	382	10	general	general	ADJ
ejpam-3028	382	11	,	,	PUNCT
ejpam-3028	382	12	as	as	SCONJ
ejpam-3028	382	13	shown	show	VERB
ejpam-3028	382	14	in	in	ADP
ejpam-3028	382	15	the	the	DET
ejpam-3028	382	16	following	follow	VERB
ejpam-3028	382	17	example	example	NOUN
ejpam-3028	382	18	.	.	PUNCT
ejpam-3028	383	1	references	reference	NOUN
ejpam-3028	383	2	847	847	NUM
ejpam-3028	383	3	example	example	NOUN
ejpam-3028	383	4	8	8	NUM
ejpam-3028	383	5	.	.	PUNCT
ejpam-3028	384	1	in	in	ADP
ejpam-3028	384	2	example	example	NOUN
ejpam-3028	384	3	7	7	NUM
ejpam-3028	384	4	,	,	PUNCT
ejpam-3028	384	5	consider	consider	VERB
ejpam-3028	384	6	the	the	DET
ejpam-3028	384	7	supra	supra	PROPN
ejpam-3028	384	8	soft	soft	ADJ
ejpam-3028	384	9	topology	topology	NOUN
ejpam-3028	384	10	µ1	µ1	NOUN
ejpam-3028	384	11	in	in	ADP
ejpam-3028	384	12	example	example	NOUN
ejpam-3028	384	13	3	3	NUM
ejpam-3028	384	14	(	(	PUNCT
ejpam-3028	384	15	2	2	NUM
ejpam-3028	384	16	)	)	PUNCT
ejpam-3028	384	17	,	,	PUNCT
ejpam-3028	384	18	µ1	µ1	PROPN
ejpam-3028	384	19	=	=	SYM
ejpam-3028	384	20	{	{	PUNCT
ejpam-3028	384	21	x̃	x̃	PROPN
ejpam-3028	384	22	,	,	PUNCT
ejpam-3028	384	23	ϕ̃	ϕ̃	PROPN
ejpam-3028	384	24	,	,	PUNCT
ejpam-3028	384	25	(	(	PUNCT
ejpam-3028	384	26	f1	f1	NOUN
ejpam-3028	384	27	,	,	PUNCT
ejpam-3028	384	28	a	a	PRON
ejpam-3028	384	29	)	)	PUNCT
ejpam-3028	384	30	,	,	PUNCT
ejpam-3028	384	31	.......	.......	PUNCT
ejpam-3028	384	32	(	(	PUNCT
ejpam-3028	384	33	f10	f10	NOUN
ejpam-3028	384	34	,	,	PUNCT
ejpam-3028	384	35	a	a	NOUN
ejpam-3028	384	36	)	)	PUNCT
ejpam-3028	384	37	}	}	PUNCT
ejpam-3028	384	38	.	.	PUNCT
ejpam-3028	385	1	let	let	AUX
ejpam-3028	385	2	(	(	PUNCT
ejpam-3028	385	3	y	y	NOUN
ejpam-3028	385	4	,	,	PUNCT
ejpam-3028	385	5	τ2	τ2	PROPN
ejpam-3028	385	6	,	,	PUNCT
ejpam-3028	385	7	b	b	NOUN
ejpam-3028	385	8	)	)	PUNCT
ejpam-3028	385	9	be	be	AUX
ejpam-3028	385	10	a	a	DET
ejpam-3028	385	11	soft	soft	ADJ
ejpam-3028	385	12	topological	topological	ADJ
ejpam-3028	385	13	space	space	NOUN
ejpam-3028	385	14	over	over	ADP
ejpam-3028	385	15	y	y	PROPN
ejpam-3028	385	16	where	where	SCONJ
ejpam-3028	385	17	,	,	PUNCT
ejpam-3028	385	18	τ2	τ2	NOUN
ejpam-3028	385	19	=	=	PUNCT
ejpam-3028	385	20	{	{	PUNCT
ejpam-3028	385	21	ỹ	ỹ	PROPN
ejpam-3028	385	22	,	,	PUNCT
ejpam-3028	385	23	ϕ̃	ϕ̃	PROPN
ejpam-3028	385	24	,	,	PUNCT
ejpam-3028	385	25	(	(	PUNCT
ejpam-3028	385	26	g	g	NOUN
ejpam-3028	385	27	,	,	PUNCT
ejpam-3028	385	28	b	b	NOUN
ejpam-3028	385	29	)	)	PUNCT
ejpam-3028	385	30	}	}	PUNCT
ejpam-3028	385	31	,	,	PUNCT
ejpam-3028	385	32	where	where	SCONJ
ejpam-3028	385	33	(	(	PUNCT
ejpam-3028	385	34	g	g	NOUN
ejpam-3028	385	35	,	,	PUNCT
ejpam-3028	385	36	b	b	NOUN
ejpam-3028	385	37	)	)	PUNCT
ejpam-3028	385	38	is	be	AUX
ejpam-3028	385	39	a	a	DET
ejpam-3028	385	40	soft	soft	ADJ
ejpam-3028	385	41	set	set	NOUN
ejpam-3028	385	42	over	over	ADP
ejpam-3028	385	43	y	y	PROPN
ejpam-3028	385	44	defined	define	VERB
ejpam-3028	385	45	by	by	ADP
ejpam-3028	385	46	:	:	PUNCT
ejpam-3028	385	47	g(k1	g(k1	NOUN
ejpam-3028	385	48	)	)	PUNCT
ejpam-3028	385	49	=	=	SYM
ejpam-3028	385	50	{	{	PUNCT
ejpam-3028	385	51	x	x	NOUN
ejpam-3028	385	52	,	,	PUNCT
ejpam-3028	385	53	y	y	NOUN
ejpam-3028	385	54	}	}	PUNCT
ejpam-3028	385	55	,	,	PUNCT
ejpam-3028	385	56	g(k2	g(k2	X
ejpam-3028	385	57	)	)	PUNCT
ejpam-3028	385	58	=	=	PRON
ejpam-3028	385	59	{	{	PUNCT
ejpam-3028	385	60	w	w	NOUN
ejpam-3028	385	61	}	}	PUNCT
ejpam-3028	385	62	.	.	PUNCT
ejpam-3028	386	1	let	let	AUX
ejpam-3028	386	2	fpu	fpu	VERB
ejpam-3028	386	3	:	:	PUNCT
ejpam-3028	386	4	(	(	PUNCT
ejpam-3028	386	5	x	x	NOUN
ejpam-3028	386	6	,	,	PUNCT
ejpam-3028	386	7	τ1	τ1	NOUN
ejpam-3028	386	8	,	,	PUNCT
ejpam-3028	386	9	a)→	a)→	NOUN
ejpam-3028	386	10	(	(	PUNCT
ejpam-3028	386	11	y	y	PROPN
ejpam-3028	386	12	,	,	PUNCT
ejpam-3028	386	13	τ2	τ2	PROPN
ejpam-3028	386	14	,	,	PUNCT
ejpam-3028	386	15	b	b	NOUN
ejpam-3028	386	16	)	)	PUNCT
ejpam-3028	386	17	be	be	AUX
ejpam-3028	386	18	a	a	DET
ejpam-3028	386	19	soft	soft	ADJ
ejpam-3028	386	20	function	function	NOUN
ejpam-3028	386	21	.	.	PUNCT
ejpam-3028	387	1	then	then	ADV
ejpam-3028	387	2	,	,	PUNCT
ejpam-3028	387	3	f−1pu	f−1pu	PROPN
ejpam-3028	387	4	(	(	PUNCT
ejpam-3028	387	5	(	(	PUNCT
ejpam-3028	387	6	g	g	NOUN
ejpam-3028	387	7	,	,	PUNCT
ejpam-3028	387	8	b	b	NOUN
ejpam-3028	387	9	)	)	PUNCT
ejpam-3028	387	10	)	)	PUNCT
ejpam-3028	387	11	=	=	PRON
ejpam-3028	387	12	{	{	PUNCT
ejpam-3028	387	13	(	(	PUNCT
ejpam-3028	387	14	e1	e1	NOUN
ejpam-3028	387	15	,	,	PUNCT
ejpam-3028	387	16	{	{	PUNCT
ejpam-3028	387	17	c	c	X
ejpam-3028	387	18	,	,	PUNCT
ejpam-3028	387	19	d	d	NOUN
ejpam-3028	387	20	}	}	PUNCT
ejpam-3028	387	21	)	)	PUNCT
ejpam-3028	387	22	,	,	PUNCT
ejpam-3028	387	23	(	(	PUNCT
ejpam-3028	387	24	e2	e2	PROPN
ejpam-3028	387	25	,	,	PUNCT
ejpam-3028	387	26	{	{	PUNCT
ejpam-3028	387	27	b	b	NOUN
ejpam-3028	387	28	}	}	PUNCT
ejpam-3028	387	29	)	)	PUNCT
ejpam-3028	387	30	}	}	PUNCT
ejpam-3028	387	31	is	be	AUX
ejpam-3028	387	32	a	a	DET
ejpam-3028	387	33	supra	supra	ADJ
ejpam-3028	387	34	soft	soft	ADJ
ejpam-3028	387	35	p	p	X
ejpam-3028	387	36	(	(	PUNCT
ejpam-3028	387	37	resp	resp	NOUN
ejpam-3028	387	38	.	.	PUNCT
ejpam-3028	388	1	p	p	X
ejpam-3028	388	2	∗and	∗and	PROPN
ejpam-3028	388	3	p	p	NOUN
ejpam-3028	388	4	∗∗-	∗∗-	NOUN
ejpam-3028	388	5	)	)	PUNCT
ejpam-3028	388	6	locally	locally	ADV
ejpam-3028	388	7	closed	close	VERB
ejpam-3028	388	8	in	in	ADP
ejpam-3028	388	9	x	x	NOUN
ejpam-3028	388	10	,	,	PUNCT
ejpam-3028	388	11	but	but	CCONJ
ejpam-3028	388	12	it	it	PRON
ejpam-3028	388	13	is	be	AUX
ejpam-3028	388	14	not	not	PART
ejpam-3028	388	15	supra	supra	ADJ
ejpam-3028	388	16	a	a	DET
ejpam-3028	388	17	-	-	PUNCT
ejpam-3028	388	18	soft	soft	ADJ
ejpam-3028	388	19	.	.	PUNCT
ejpam-3028	389	1	hence	hence	ADV
ejpam-3028	389	2	,	,	PUNCT
ejpam-3028	389	3	fpu	fpu	PROPN
ejpam-3028	389	4	is	be	AUX
ejpam-3028	389	5	a	a	DET
ejpam-3028	389	6	supra	supra	PROPN
ejpam-3028	389	7	splc(resp	splc(resp	PROPN
ejpam-3028	389	8	.	.	PUNCT
ejpam-3028	390	1	supra	supra	PROPN
ejpam-3028	390	2	sp	sp	ADP
ejpam-3028	390	3	∗lcand	∗lcand	PROPN
ejpam-3028	390	4	supra	supra	NOUN
ejpam-3028	390	5	sp	sp	ADP
ejpam-3028	390	6	∗∗lc)-continuous	∗∗lc)-continuous	ADJ
ejpam-3028	390	7	,	,	PUNCT
ejpam-3028	390	8	but	but	CCONJ
ejpam-3028	390	9	it	it	PRON
ejpam-3028	390	10	is	be	AUX
ejpam-3028	390	11	not	not	PART
ejpam-3028	390	12	supra	supra	NOUN
ejpam-3028	390	13	soft	soft	ADJ
ejpam-3028	390	14	a	a	DET
ejpam-3028	390	15	-	-	PUNCT
ejpam-3028	390	16	continuous	continuous	ADJ
ejpam-3028	390	17	.	.	PUNCT
ejpam-3028	391	1	for	for	ADP
ejpam-3028	391	2	a	a	DET
ejpam-3028	391	3	supra	supra	PROPN
ejpam-3028	391	4	soft	soft	ADJ
ejpam-3028	391	5	topological	topological	ADJ
ejpam-3028	391	6	space	space	NOUN
ejpam-3028	391	7	(	(	PUNCT
ejpam-3028	391	8	x,µ,e	x,µ,e	PROPN
ejpam-3028	391	9	)	)	PUNCT
ejpam-3028	391	10	we	we	PRON
ejpam-3028	391	11	have	have	VERB
ejpam-3028	391	12	the	the	DET
ejpam-3028	391	13	following	follow	VERB
ejpam-3028	391	14	implications	implication	NOUN
ejpam-3028	391	15	from	from	ADP
ejpam-3028	391	16	theorems	theorem	NOUN
ejpam-3028	391	17	4	4	NUM
ejpam-3028	391	18	,	,	PUNCT
ejpam-3028	391	19	4	4	NUM
ejpam-3028	391	20	,	,	PUNCT
ejpam-3028	391	21	4	4	NUM
ejpam-3028	391	22	and	and	CCONJ
ejpam-3028	392	1	[	[	X
ejpam-3028	392	2	[	[	X
ejpam-3028	392	3	3	3	NUM
ejpam-3028	392	4	]	]	PUNCT
ejpam-3028	392	5	,	,	PUNCT
ejpam-3028	392	6	corollary	corollary	ADJ
ejpam-3028	392	7	6.1	6.1	NUM
ejpam-3028	392	8	]	]	PUNCT
ejpam-3028	392	9	.	.	PUNCT
ejpam-3028	393	1	these	these	DET
ejpam-3028	393	2	implications	implication	NOUN
ejpam-3028	393	3	are	be	AUX
ejpam-3028	393	4	not	not	PART
ejpam-3028	393	5	reversible	reversible	ADJ
ejpam-3028	393	6	.	.	PUNCT
ejpam-3028	394	1	supra	supra	PROPN
ejpam-3028	394	2	splc	splc	NOUN
ejpam-3028	394	3	-	-	PUNCT
ejpam-3028	394	4	continuity	continuity	NOUN
ejpam-3028	394	5	←	←	PROPN
ejpam-3028	394	6	supra	supra	NOUN
ejpam-3028	394	7	sp	sp	ADP
ejpam-3028	394	8	∗lc	∗lc	NOUN
ejpam-3028	394	9	-	-	PUNCT
ejpam-3028	394	10	continuity	continuity	NOUN
ejpam-3028	394	11	˚	˚	PROPN
ejpam-3028	394	12	↑	↑	PROPN
ejpam-3028	394	13	↑	↑	PROPN
ejpam-3028	394	14	supra	supra	PROPN
ejpam-3028	394	15	sp	sp	ADP
ejpam-3028	394	16	∗∗lc	∗∗lc	NOUN
ejpam-3028	394	17	-	-	PUNCT
ejpam-3028	394	18	continuity	continuity	NOUN
ejpam-3028	394	19	←	←	PROPN
ejpam-3028	394	20	supra	supra	PROPN
ejpam-3028	394	21	slc	slc	PROPN
ejpam-3028	394	22	-	-	PUNCT
ejpam-3028	394	23	continuity	continuity	NOUN
ejpam-3028	394	24	←−	←−	PROPN
ejpam-3028	394	25	supra	supra	NOUN
ejpam-3028	394	26	soft	soft	ADJ
ejpam-3028	394	27	a	a	DET
ejpam-3028	394	28	-	-	PUNCT
ejpam-3028	394	29	continuity	continuity	NOUN
ejpam-3028	394	30	˚	˚	PROPN
ejpam-3028	394	31	↑	↑	PROPN
ejpam-3028	394	32	↗	↗	PROPN
ejpam-3028	394	33	↖	↖	PROPN
ejpam-3028	394	34	↘	↘	PROPN
ejpam-3028	394	35	↘	↘	PROPN
ejpam-3028	394	36	supra	supra	PROPN
ejpam-3028	394	37	soft	soft	ADJ
ejpam-3028	394	38	continuity	continuity	NOUN
ejpam-3028	394	39	−→	−→	NOUN
ejpam-3028	394	40	supra	supra	PROPN
ejpam-3028	394	41	soft	soft	ADJ
ejpam-3028	394	42	α	α	NOUN
ejpam-3028	394	43	-	-	PUNCT
ejpam-3028	394	44	continuity	continuity	NOUN
ejpam-3028	394	45	−→	−→	NOUN
ejpam-3028	394	46	supra	supra	PROPN
ejpam-3028	394	47	soft	soft	ADJ
ejpam-3028	394	48	semi	semi	ADJ
ejpam-3028	394	49	-	-	NOUN
ejpam-3028	394	50	continuity	continuity	ADJ
ejpam-3028	394	51	˚	˚	PROPN
ejpam-3028	394	52	↓	↓	PROPN
ejpam-3028	394	53	↙	↙	PROPN
ejpam-3028	394	54	supra	supra	PROPN
ejpam-3028	394	55	soft	soft	ADJ
ejpam-3028	394	56	pre	pre	ADJ
ejpam-3028	394	57	-	-	ADJ
ejpam-3028	394	58	continuity	continuity	ADJ
ejpam-3028	394	59	−→	−→	NOUN
ejpam-3028	394	60	supra	supra	PROPN
ejpam-3028	394	61	soft	soft	ADJ
ejpam-3028	394	62	b	b	NOUN
ejpam-3028	394	63	-	-	PUNCT
ejpam-3028	394	64	continuity	continuity	NOUN
ejpam-3028	394	65	5	5	NUM
ejpam-3028	394	66	.	.	PUNCT
ejpam-3028	394	67	conclusion	conclusion	NOUN
ejpam-3028	394	68	the	the	DET
ejpam-3028	394	69	aim	aim	NOUN
ejpam-3028	394	70	of	of	ADP
ejpam-3028	394	71	this	this	DET
ejpam-3028	394	72	paper	paper	NOUN
ejpam-3028	394	73	,	,	PUNCT
ejpam-3028	394	74	is	be	AUX
ejpam-3028	394	75	to	to	PART
ejpam-3028	394	76	introduce	introduce	VERB
ejpam-3028	394	77	new	new	ADJ
ejpam-3028	394	78	types	type	NOUN
ejpam-3028	394	79	of	of	ADP
ejpam-3028	394	80	soft	soft	ADJ
ejpam-3028	394	81	sets	set	NOUN
ejpam-3028	394	82	in	in	ADP
ejpam-3028	394	83	supra	supra	PROPN
ejpam-3028	394	84	soft	soft	ADJ
ejpam-3028	394	85	topological	topological	ADJ
ejpam-3028	394	86	spaces	space	NOUN
ejpam-3028	394	87	called	call	VERB
ejpam-3028	394	88	,	,	PUNCT
ejpam-3028	394	89	supra	supra	PROPN
ejpam-3028	394	90	soft	soft	ADJ
ejpam-3028	394	91	p	p	NOUN
ejpam-3028	394	92	-locally	-locally	ADV
ejpam-3028	394	93	closed	closed	ADJ
ejpam-3028	394	94	sets	set	NOUN
ejpam-3028	394	95	,	,	PUNCT
ejpam-3028	394	96	supra	supra	PROPN
ejpam-3028	394	97	soft	soft	ADJ
ejpam-3028	394	98	p	p	NOUN
ejpam-3028	394	99	∗-locally	∗-locally	ADV
ejpam-3028	394	100	closed	close	VERB
ejpam-3028	394	101	sets	set	NOUN
ejpam-3028	394	102	and	and	CCONJ
ejpam-3028	394	103	supra	supra	PROPN
ejpam-3028	394	104	soft	soft	ADJ
ejpam-3028	394	105	p	p	X
ejpam-3028	394	106	∗∗-locally	∗∗-locally	ADV
ejpam-3028	394	107	closed	close	VERB
ejpam-3028	394	108	sets	set	NOUN
ejpam-3028	394	109	.	.	PUNCT
ejpam-3028	395	1	also	also	ADV
ejpam-3028	395	2	,	,	PUNCT
ejpam-3028	395	3	new	new	ADJ
ejpam-3028	395	4	types	type	NOUN
ejpam-3028	395	5	of	of	ADP
ejpam-3028	395	6	soft	soft	ADJ
ejpam-3028	395	7	continuity	continuity	NOUN
ejpam-3028	395	8	are	be	AUX
ejpam-3028	395	9	introduced	introduce	VERB
ejpam-3028	395	10	.	.	PUNCT
ejpam-3028	396	1	furthermore	furthermore	ADV
ejpam-3028	396	2	,	,	PUNCT
ejpam-3028	396	3	some	some	PRON
ejpam-3028	396	4	of	of	ADP
ejpam-3028	396	5	their	their	PRON
ejpam-3028	396	6	basic	basic	ADJ
ejpam-3028	396	7	properties	property	NOUN
ejpam-3028	396	8	are	be	AUX
ejpam-3028	396	9	obtained	obtain	VERB
ejpam-3028	396	10	.	.	PUNCT
ejpam-3028	397	1	in	in	ADP
ejpam-3028	397	2	future	future	NOUN
ejpam-3028	397	3	,	,	PUNCT
ejpam-3028	397	4	the	the	DET
ejpam-3028	397	5	generalization	generalization	NOUN
ejpam-3028	397	6	of	of	ADP
ejpam-3028	397	7	these	these	DET
ejpam-3028	397	8	concepts	concept	NOUN
ejpam-3028	397	9	by	by	ADP
ejpam-3028	397	10	using	use	VERB
ejpam-3028	397	11	soft	soft	ADJ
ejpam-3028	397	12	ideals	ideal	NOUN
ejpam-3028	397	13	notion	notion	NOUN
ejpam-3028	397	14	[	[	X
ejpam-3028	397	15	15	15	NUM
ejpam-3028	397	16	]	]	PUNCT
ejpam-3028	397	17	will	will	AUX
ejpam-3028	397	18	be	be	AUX
ejpam-3028	397	19	introduced	introduce	VERB
ejpam-3028	397	20	and	and	CCONJ
ejpam-3028	397	21	the	the	DET
ejpam-3028	397	22	future	future	ADJ
ejpam-3028	397	23	research	research	NOUN
ejpam-3028	397	24	will	will	AUX
ejpam-3028	397	25	be	be	AUX
ejpam-3028	397	26	undertaken	undertake	VERB
ejpam-3028	397	27	in	in	ADP
ejpam-3028	397	28	this	this	DET
ejpam-3028	397	29	direction	direction	NOUN
ejpam-3028	397	30	.	.	PUNCT
ejpam-3028	398	1	acknowledgments	acknowledgment	NOUN
ejpam-3028	398	2	the	the	DET
ejpam-3028	398	3	authors	author	NOUN
ejpam-3028	398	4	gratefully	gratefully	ADV
ejpam-3028	398	5	acknowledge	acknowledge	VERB
ejpam-3028	398	6	the	the	DET
ejpam-3028	398	7	approval	approval	NOUN
ejpam-3028	398	8	and	and	CCONJ
ejpam-3028	398	9	the	the	DET
ejpam-3028	398	10	support	support	NOUN
ejpam-3028	398	11	of	of	ADP
ejpam-3028	398	12	this	this	DET
ejpam-3028	398	13	research	research	NOUN
ejpam-3028	398	14	from	from	ADP
ejpam-3028	398	15	the	the	DET
ejpam-3028	398	16	deanship	deanship	NOUN
ejpam-3028	398	17	of	of	ADP
ejpam-3028	398	18	scientific	scientific	ADJ
ejpam-3028	398	19	research	research	NOUN
ejpam-3028	398	20	study	study	NOUN
ejpam-3028	398	21	by	by	ADP
ejpam-3028	398	22	the	the	DET
ejpam-3028	398	23	grant	grant	NOUN
ejpam-3028	398	24	no	no	INTJ
ejpam-3028	398	25	.	.	NOUN
ejpam-3028	398	26	8	8	NUM
ejpam-3028	398	27	-	-	PUNCT
ejpam-3028	398	28	068	068	NUM
ejpam-3028	398	29	-	-	SYM
ejpam-3028	398	30	435	435	NUM
ejpam-3028	398	31	,	,	PUNCT
ejpam-3028	398	32	k.	k.	PROPN
ejpam-3028	398	33	s.	s.	PROPN
ejpam-3028	398	34	a.	a.	PROPN
ejpam-3028	398	35	,	,	PUNCT
ejpam-3028	398	36	northern	northern	ADJ
ejpam-3028	398	37	border	border	NOUN
ejpam-3028	398	38	university	university	PROPN
ejpam-3028	398	39	,	,	PUNCT
ejpam-3028	398	40	arar	arar	PROPN
ejpam-3028	398	41	.	.	PUNCT
ejpam-3028	399	1	references	reference	NOUN
ejpam-3028	399	2	[	[	X
ejpam-3028	399	3	1	1	NUM
ejpam-3028	399	4	]	]	PUNCT
ejpam-3028	399	5	a.	a.	NOUN
ejpam-3028	399	6	m.	m.	PROPN
ejpam-3028	399	7	abd	abd	PROPN
ejpam-3028	399	8	el	el	PROPN
ejpam-3028	399	9	-	-	PROPN
ejpam-3028	399	10	latif	latif	PROPN
ejpam-3028	399	11	,	,	PUNCT
ejpam-3028	399	12	on	on	ADP
ejpam-3028	399	13	new	new	ADJ
ejpam-3028	399	14	classes	class	NOUN
ejpam-3028	399	15	of	of	ADP
ejpam-3028	399	16	supra	supra	ADJ
ejpam-3028	399	17	soft	soft	ADJ
ejpam-3028	399	18	sets	set	NOUN
ejpam-3028	399	19	and	and	CCONJ
ejpam-3028	399	20	supra	supra	ADJ
ejpam-3028	399	21	soft	soft	ADJ
ejpam-3028	399	22	continuity	continuity	NOUN
ejpam-3028	399	23	,	,	PUNCT
ejpam-3028	399	24	european	european	ADJ
ejpam-3028	399	25	journal	journal	NOUN
ejpam-3028	399	26	of	of	ADP
ejpam-3028	399	27	pure	pure	ADJ
ejpam-3028	399	28	and	and	CCONJ
ejpam-3028	399	29	applied	applied	ADJ
ejpam-3028	399	30	mathematics	mathematic	NOUN
ejpam-3028	399	31	(	(	PUNCT
ejpam-3028	399	32	ejpam	ejpam	NOUN
ejpam-3028	399	33	)	)	PUNCT
ejpam-3028	399	34	,	,	PUNCT
ejpam-3028	399	35	2017	2017	NUM
ejpam-3028	399	36	,	,	PUNCT
ejpam-3028	399	37	accepted	accept	VERB
ejpam-3028	399	38	.	.	PUNCT
ejpam-3028	400	1	[	[	X
ejpam-3028	400	2	2	2	NUM
ejpam-3028	400	3	]	]	PUNCT
ejpam-3028	400	4	a.	a.	NOUN
ejpam-3028	400	5	m.	m.	PROPN
ejpam-3028	400	6	abd	abd	PROPN
ejpam-3028	400	7	el	el	PROPN
ejpam-3028	400	8	-	-	PROPN
ejpam-3028	400	9	latif	latif	PROPN
ejpam-3028	400	10	,	,	PUNCT
ejpam-3028	400	11	new	new	ADJ
ejpam-3028	400	12	decompositions	decomposition	NOUN
ejpam-3028	400	13	of	of	ADP
ejpam-3028	400	14	supra	supra	ADJ
ejpam-3028	400	15	soft	soft	ADJ
ejpam-3028	400	16	sets	set	NOUN
ejpam-3028	400	17	and	and	CCONJ
ejpam-3028	400	18	sαlc	sαlc	NOUN
ejpam-3028	400	19	-	-	PUNCT
ejpam-3028	400	20	continuity	continuity	NOUN
ejpam-3028	400	21	.	.	PUNCT
ejpam-3028	401	1	to	to	PART
ejpam-3028	401	2	appear	appear	VERB
ejpam-3028	401	3	.	.	PUNCT
ejpam-3028	402	1	references	reference	NOUN
ejpam-3028	402	2	848	848	NUM
ejpam-3028	403	1	[	[	X
ejpam-3028	403	2	3	3	NUM
ejpam-3028	403	3	]	]	PUNCT
ejpam-3028	403	4	a.	a.	NOUN
ejpam-3028	403	5	m.	m.	PROPN
ejpam-3028	403	6	abd	abd	PROPN
ejpam-3028	403	7	el	el	PROPN
ejpam-3028	403	8	-	-	PROPN
ejpam-3028	403	9	latif	latif	PROPN
ejpam-3028	403	10	and	and	CCONJ
ejpam-3028	403	11	s.	s.	PROPN
ejpam-3028	403	12	karataş	karataş	PROPN
ejpam-3028	403	13	,	,	PUNCT
ejpam-3028	403	14	supra	supra	PROPN
ejpam-3028	403	15	b	b	PROPN
ejpam-3028	403	16	-	-	PUNCT
ejpam-3028	403	17	open	open	ADJ
ejpam-3028	403	18	soft	soft	ADJ
ejpam-3028	403	19	sets	set	NOUN
ejpam-3028	403	20	and	and	CCONJ
ejpam-3028	403	21	supra	supra	PROPN
ejpam-3028	403	22	b	b	NOUN
ejpam-3028	403	23	-	-	PUNCT
ejpam-3028	403	24	soft	soft	ADJ
ejpam-3028	403	25	continuity	continuity	NOUN
ejpam-3028	403	26	on	on	ADP
ejpam-3028	403	27	soft	soft	ADJ
ejpam-3028	403	28	topological	topological	ADJ
ejpam-3028	403	29	spaces	space	NOUN
ejpam-3028	403	30	,	,	PUNCT
ejpam-3028	403	31	j.	j.	PROPN
ejpam-3028	403	32	math	math	PROPN
ejpam-3028	403	33	.	.	PUNCT
ejpam-3028	404	1	comput	comput	PROPN
ejpam-3028	404	2	.	.	PUNCT
ejpam-3028	405	1	appl	appl	PROPN
ejpam-3028	405	2	.	.	PUNCT
ejpam-3028	406	1	res	res	PROPN
ejpam-3028	406	2	.	.	PROPN
ejpam-3028	406	3	,	,	PUNCT
ejpam-3028	406	4	5(1	5(1	NUM
ejpam-3028	406	5	)	)	PUNCT
ejpam-3028	406	6	(	(	PUNCT
ejpam-3028	406	7	2015	2015	NUM
ejpam-3028	406	8	)	)	PUNCT
ejpam-3028	406	9	1–18	1–18	NOUN
ejpam-3028	406	10	.	.	PUNCT
ejpam-3028	407	1	[	[	X
ejpam-3028	407	2	4	4	NUM
ejpam-3028	407	3	]	]	PUNCT
ejpam-3028	407	4	a.	a.	NOUN
ejpam-3028	407	5	m.	m.	PROPN
ejpam-3028	407	6	abd	abd	PROPN
ejpam-3028	407	7	el	el	PROPN
ejpam-3028	407	8	-	-	PROPN
ejpam-3028	407	9	latif	latif	PROPN
ejpam-3028	407	10	and	and	CCONJ
ejpam-3028	407	11	rodyna	rodyna	PROPN
ejpam-3028	407	12	a.	a.	PROPN
ejpam-3028	407	13	hosny	hosny	PROPN
ejpam-3028	407	14	,	,	PUNCT
ejpam-3028	407	15	supra	supra	PROPN
ejpam-3028	407	16	semi	semi	ADV
ejpam-3028	407	17	open	open	VERB
ejpam-3028	407	18	soft	soft	ADJ
ejpam-3028	407	19	sets	set	NOUN
ejpam-3028	407	20	and	and	CCONJ
ejpam-3028	407	21	associated	associate	VERB
ejpam-3028	407	22	soft	soft	ADJ
ejpam-3028	407	23	separation	separation	NOUN
ejpam-3028	407	24	axioms	axiom	NOUN
ejpam-3028	407	25	,	,	PUNCT
ejpam-3028	407	26	appl	appl	PROPN
ejpam-3028	407	27	.	.	PROPN
ejpam-3028	407	28	math	math	PROPN
ejpam-3028	407	29	.	.	PUNCT
ejpam-3028	407	30	inf	inf	PROPN
ejpam-3028	407	31	.	.	PUNCT
ejpam-3028	408	1	sci	sci	PROPN
ejpam-3028	408	2	.	.	PROPN
ejpam-3028	408	3	,	,	PUNCT
ejpam-3028	408	4	10	10	NUM
ejpam-3028	408	5	(	(	PUNCT
ejpam-3028	408	6	6	6	NUM
ejpam-3028	408	7	)	)	PUNCT
ejpam-3028	408	8	(	(	PUNCT
ejpam-3028	408	9	2016	2016	NUM
ejpam-3028	408	10	)	)	PUNCT
ejpam-3028	408	11	2207–2215	2207–2215	NUM
ejpam-3028	408	12	.	.	PUNCT
ejpam-3028	409	1	[	[	X
ejpam-3028	409	2	5	5	NUM
ejpam-3028	409	3	]	]	PUNCT
ejpam-3028	409	4	a.	a.	NOUN
ejpam-3028	409	5	m.	m.	PROPN
ejpam-3028	409	6	abd	abd	PROPN
ejpam-3028	409	7	el	el	PROPN
ejpam-3028	409	8	-	-	PROPN
ejpam-3028	409	9	latif	latif	PROPN
ejpam-3028	409	10	and	and	CCONJ
ejpam-3028	409	11	rodyna	rodyna	PROPN
ejpam-3028	409	12	a.	a.	PROPN
ejpam-3028	409	13	hosny	hosny	PROPN
ejpam-3028	409	14	,	,	PUNCT
ejpam-3028	409	15	supra	supra	PROPN
ejpam-3028	409	16	soft	soft	ADJ
ejpam-3028	409	17	separation	separation	NOUN
ejpam-3028	409	18	axioms	axiom	NOUN
ejpam-3028	409	19	and	and	CCONJ
ejpam-3028	409	20	supra	supra	PROPN
ejpam-3028	409	21	irresoluteness	irresoluteness	NOUN
ejpam-3028	409	22	based	base	VERB
ejpam-3028	409	23	on	on	ADP
ejpam-3028	409	24	supra	supra	PROPN
ejpam-3028	409	25	b	b	PROPN
ejpam-3028	409	26	-	-	PUNCT
ejpam-3028	409	27	open	open	ADJ
ejpam-3028	409	28	soft	soft	ADJ
ejpam-3028	409	29	sets	set	NOUN
ejpam-3028	409	30	,	,	PUNCT
ejpam-3028	409	31	gazi	gazi	PROPN
ejpam-3028	409	32	university	university	PROPN
ejpam-3028	409	33	journal	journal	NOUN
ejpam-3028	409	34	of	of	ADP
ejpam-3028	409	35	science	science	NOUN
ejpam-3028	409	36	,	,	PUNCT
ejpam-3028	409	37	29	29	NUM
ejpam-3028	409	38	(	(	PUNCT
ejpam-3028	409	39	4	4	NUM
ejpam-3028	409	40	)	)	PUNCT
ejpam-3028	409	41	(	(	PUNCT
ejpam-3028	409	42	2016	2016	NUM
ejpam-3028	409	43	)	)	PUNCT
ejpam-3028	409	44	845–854	845–854	NUM
ejpam-3028	409	45	.	.	PUNCT
ejpam-3028	410	1	[	[	X
ejpam-3028	410	2	6	6	NUM
ejpam-3028	410	3	]	]	PUNCT
ejpam-3028	410	4	a.	a.	NOUN
ejpam-3028	410	5	m.	m.	PROPN
ejpam-3028	410	6	abd	abd	PROPN
ejpam-3028	410	7	el	el	PROPN
ejpam-3028	410	8	-	-	PROPN
ejpam-3028	410	9	latif	latif	PROPN
ejpam-3028	410	10	,	,	PUNCT
ejpam-3028	410	11	soft	soft	ADJ
ejpam-3028	410	12	supra	supra	NOUN
ejpam-3028	410	13	strongly	strongly	ADV
ejpam-3028	410	14	generalized	generalize	VERB
ejpam-3028	410	15	closed	closed	ADJ
ejpam-3028	410	16	sets	set	NOUN
ejpam-3028	410	17	,	,	PUNCT
ejpam-3028	410	18	journal	journal	NOUN
ejpam-3028	410	19	of	of	ADP
ejpam-3028	410	20	intelligent	intelligent	ADJ
ejpam-3028	410	21	&	&	CCONJ
ejpam-3028	410	22	fuzzy	fuzzy	ADJ
ejpam-3028	410	23	systems	system	NOUN
ejpam-3028	410	24	,	,	PUNCT
ejpam-3028	410	25	31	31	NUM
ejpam-3028	410	26	(	(	PUNCT
ejpam-3028	410	27	3	3	NUM
ejpam-3028	410	28	)	)	PUNCT
ejpam-3028	410	29	(	(	PUNCT
ejpam-3028	410	30	2016	2016	NUM
ejpam-3028	410	31	)	)	PUNCT
ejpam-3028	410	32	1311–1317	1311–1317	NUM
ejpam-3028	410	33	.	.	PUNCT
ejpam-3028	411	1	[	[	X
ejpam-3028	411	2	7	7	NUM
ejpam-3028	411	3	]	]	PUNCT
ejpam-3028	411	4	a.	a.	NOUN
ejpam-3028	411	5	m.	m.	PROPN
ejpam-3028	411	6	abd	abd	PROPN
ejpam-3028	411	7	el	el	PROPN
ejpam-3028	411	8	-	-	PROPN
ejpam-3028	411	9	latif	latif	PROPN
ejpam-3028	411	10	,	,	PUNCT
ejpam-3028	411	11	supra	supra	PROPN
ejpam-3028	411	12	soft	soft	ADJ
ejpam-3028	411	13	b	b	NOUN
ejpam-3028	411	14	-	-	PUNCT
ejpam-3028	411	15	connectedness	connectedness	NOUN
ejpam-3028	411	16	i	i	PRON
ejpam-3028	411	17	:	:	PUNCT
ejpam-3028	411	18	supra	supra	PROPN
ejpam-3028	411	19	soft	soft	ADJ
ejpam-3028	411	20	b	b	NOUN
ejpam-3028	411	21	-	-	PUNCT
ejpam-3028	411	22	irresoluteness	irresoluteness	NOUN
ejpam-3028	411	23	and	and	CCONJ
ejpam-3028	411	24	separateness	separateness	NOUN
ejpam-3028	411	25	,	,	PUNCT
ejpam-3028	411	26	creat	creat	PROPN
ejpam-3028	411	27	.	.	PUNCT
ejpam-3028	412	1	math	math	PROPN
ejpam-3028	412	2	.	.	PUNCT
ejpam-3028	413	1	inform	inform	NOUN
ejpam-3028	413	2	.	.	PUNCT
ejpam-3028	414	1	,	,	PUNCT
ejpam-3028	414	2	25	25	NUM
ejpam-3028	414	3	(	(	PUNCT
ejpam-3028	414	4	2	2	NUM
ejpam-3028	414	5	)	)	PUNCT
ejpam-3028	414	6	(	(	PUNCT
ejpam-3028	414	7	2016	2016	NUM
ejpam-3028	414	8	)	)	PUNCT
ejpam-3028	414	9	127	127	NUM
ejpam-3028	414	10	-	-	SYM
ejpam-3028	414	11	134	134	NUM
ejpam-3028	414	12	.	.	PUNCT
ejpam-3028	415	1	[	[	X
ejpam-3028	415	2	8	8	NUM
ejpam-3028	415	3	]	]	PUNCT
ejpam-3028	415	4	a.	a.	NOUN
ejpam-3028	415	5	m.	m.	PROPN
ejpam-3028	415	6	abd	abd	PROPN
ejpam-3028	415	7	el	el	PROPN
ejpam-3028	415	8	-	-	PROPN
ejpam-3028	415	9	latif	latif	PROPN
ejpam-3028	415	10	,	,	PUNCT
ejpam-3028	415	11	supra	supra	PROPN
ejpam-3028	415	12	soft	soft	ADJ
ejpam-3028	415	13	separation	separation	NOUN
ejpam-3028	415	14	axioms	axiom	NOUN
ejpam-3028	415	15	based	base	VERB
ejpam-3028	415	16	on	on	ADP
ejpam-3028	415	17	supra	supra	PROPN
ejpam-3028	415	18	β	β	NOUN
ejpam-3028	415	19	-	-	ADJ
ejpam-3028	415	20	open	open	ADJ
ejpam-3028	415	21	soft	soft	ADJ
ejpam-3028	415	22	sets	set	NOUN
ejpam-3028	415	23	,	,	PUNCT
ejpam-3028	415	24	math	math	NOUN
ejpam-3028	415	25	.	.	PUNCT
ejpam-3028	416	1	sci	sci	PROPN
ejpam-3028	416	2	.	.	PROPN
ejpam-3028	416	3	lett	lett	PROPN
ejpam-3028	416	4	.	.	PROPN
ejpam-3028	416	5	,	,	PUNCT
ejpam-3028	416	6	5	5	NUM
ejpam-3028	416	7	(	(	PUNCT
ejpam-3028	416	8	2	2	NUM
ejpam-3028	416	9	)	)	PUNCT
ejpam-3028	416	10	(	(	PUNCT
ejpam-3028	416	11	2016	2016	NUM
ejpam-3028	416	12	)	)	PUNCT
ejpam-3028	417	1	121–129	121–129	NUM
ejpam-3028	417	2	.	.	PUNCT
ejpam-3028	418	1	[	[	X
ejpam-3028	418	2	9	9	NUM
ejpam-3028	418	3	]	]	PUNCT
ejpam-3028	418	4	m.	m.	NOUN
ejpam-3028	418	5	e.	e.	PROPN
ejpam-3028	418	6	abd	abd	PROPN
ejpam-3028	419	1	el	el	PROPN
ejpam-3028	419	2	-	-	PROPN
ejpam-3028	419	3	monsef	monsef	PROPN
ejpam-3028	419	4	and	and	CCONJ
ejpam-3028	419	5	a.	a.	PROPN
ejpam-3028	419	6	e.	e.	PROPN
ejpam-3028	419	7	ramadan	ramadan	PROPN
ejpam-3028	419	8	,	,	PUNCT
ejpam-3028	419	9	on	on	ADP
ejpam-3028	419	10	fuzzy	fuzzy	ADJ
ejpam-3028	419	11	supra	supra	PROPN
ejpam-3028	419	12	topological	topological	PROPN
ejpam-3028	419	13	spaces	space	NOUN
ejpam-3028	419	14	,	,	PUNCT
ejpam-3028	419	15	indian	indian	PROPN
ejpam-3028	419	16	j.	j.	PROPN
ejpam-3028	419	17	pure	pure	PROPN
ejpam-3028	419	18	and	and	CCONJ
ejpam-3028	419	19	appl	appl	PROPN
ejpam-3028	419	20	.	.	PROPN
ejpam-3028	420	1	math	math	PROPN
ejpam-3028	420	2	.	.	PUNCT
ejpam-3028	421	1	,	,	PUNCT
ejpam-3028	421	2	4	4	NUM
ejpam-3028	421	3	(	(	PUNCT
ejpam-3028	421	4	18	18	NUM
ejpam-3028	421	5	)	)	PUNCT
ejpam-3028	421	6	(	(	PUNCT
ejpam-3028	421	7	1987	1987	NUM
ejpam-3028	421	8	)	)	PUNCT
ejpam-3028	421	9	322	322	NUM
ejpam-3028	421	10	-	-	SYM
ejpam-3028	421	11	329	329	NUM
ejpam-3028	421	12	.	.	PUNCT
ejpam-3028	422	1	[	[	X
ejpam-3028	422	2	10	10	NUM
ejpam-3028	422	3	]	]	X
ejpam-3028	422	4	ali	ali	PROPN
ejpam-3028	422	5	haydar	haydar	PROPN
ejpam-3028	422	6	kocaman	kocaman	PROPN
ejpam-3028	422	7	and	and	CCONJ
ejpam-3028	422	8	naime	naime	PROPN
ejpam-3028	422	9	tozlu	tozlu	NOUN
ejpam-3028	422	10	,	,	PUNCT
ejpam-3028	422	11	soft	soft	ADJ
ejpam-3028	422	12	locally	locally	ADV
ejpam-3028	422	13	closed	close	VERB
ejpam-3028	422	14	sets	set	NOUN
ejpam-3028	422	15	and	and	CCONJ
ejpam-3028	422	16	decompositions	decomposition	NOUN
ejpam-3028	422	17	of	of	ADP
ejpam-3028	422	18	soft	soft	ADJ
ejpam-3028	422	19	continuity	continuity	NOUN
ejpam-3028	422	20	,	,	PUNCT
ejpam-3028	422	21	ann	ann	PROPN
ejpam-3028	422	22	.	.	PROPN
ejpam-3028	422	23	fuzzy	fuzzy	ADJ
ejpam-3028	422	24	math	math	NOUN
ejpam-3028	422	25	.	.	PUNCT
ejpam-3028	423	1	inform	inform	NOUN
ejpam-3028	423	2	.	.	PUNCT
ejpam-3028	424	1	,	,	PUNCT
ejpam-3028	424	2	11	11	NUM
ejpam-3028	424	3	(	(	PUNCT
ejpam-3028	424	4	2	2	NUM
ejpam-3028	424	5	)	)	PUNCT
ejpam-3028	424	6	(	(	PUNCT
ejpam-3028	424	7	2016	2016	NUM
ejpam-3028	424	8	)	)	PUNCT
ejpam-3028	424	9	173	173	NUM
ejpam-3028	424	10	-	-	SYM
ejpam-3028	424	11	181	181	NUM
ejpam-3028	424	12	.	.	PUNCT
ejpam-3028	425	1	[	[	X
ejpam-3028	425	2	11	11	NUM
ejpam-3028	425	3	]	]	X
ejpam-3028	425	4	andreas	andreas	PROPN
ejpam-3028	425	5	alpers	alper	NOUN
ejpam-3028	425	6	,	,	PUNCT
ejpam-3028	425	7	digital	digital	ADJ
ejpam-3028	425	8	topology	topology	NOUN
ejpam-3028	425	9	:	:	PUNCT
ejpam-3028	425	10	regular	regular	ADJ
ejpam-3028	425	11	sets	set	NOUN
ejpam-3028	425	12	and	and	CCONJ
ejpam-3028	425	13	root	root	NOUN
ejpam-3028	425	14	images	image	NOUN
ejpam-3028	425	15	of	of	ADP
ejpam-3028	425	16	the	the	DET
ejpam-3028	425	17	cross	cross	ADJ
ejpam-3028	425	18	-	-	ADJ
ejpam-3028	425	19	median	median	ADJ
ejpam-3028	425	20	filter	filter	NOUN
ejpam-3028	425	21	,	,	PUNCT
ejpam-3028	425	22	journal	journal	NOUN
ejpam-3028	425	23	of	of	ADP
ejpam-3028	425	24	mathematical	mathematical	ADJ
ejpam-3028	425	25	imaging	imaging	NOUN
ejpam-3028	425	26	and	and	CCONJ
ejpam-3028	425	27	vision	vision	NOUN
ejpam-3028	425	28	,	,	PUNCT
ejpam-3028	425	29	17	17	NUM
ejpam-3028	425	30	(	(	PUNCT
ejpam-3028	425	31	2002	2002	NUM
ejpam-3028	425	32	)	)	PUNCT
ejpam-3028	425	33	7	7	NUM
ejpam-3028	425	34	-	-	SYM
ejpam-3028	425	35	14	14	NUM
ejpam-3028	425	36	.	.	PUNCT
ejpam-3028	426	1	[	[	X
ejpam-3028	426	2	12	12	NUM
ejpam-3028	426	3	]	]	X
ejpam-3028	426	4	arpad	arpad	PROPN
ejpam-3028	426	5	szaz	szaz	PROPN
ejpam-3028	426	6	,	,	PUNCT
ejpam-3028	426	7	minimal	minimal	ADJ
ejpam-3028	426	8	structures	structure	NOUN
ejpam-3028	426	9	,	,	PUNCT
ejpam-3028	426	10	generalized	generalized	ADJ
ejpam-3028	426	11	topologies	topology	NOUN
ejpam-3028	426	12	,	,	PUNCT
ejpam-3028	426	13	and	and	CCONJ
ejpam-3028	426	14	ascending	ascend	VERB
ejpam-3028	426	15	systems	system	NOUN
ejpam-3028	426	16	should	should	AUX
ejpam-3028	426	17	not	not	PART
ejpam-3028	426	18	be	be	AUX
ejpam-3028	426	19	studied	study	VERB
ejpam-3028	426	20	without	without	ADP
ejpam-3028	426	21	generalized	generalized	ADJ
ejpam-3028	426	22	uniformities	uniformity	NOUN
ejpam-3028	426	23	,	,	PUNCT
ejpam-3028	426	24	faculty	faculty	NOUN
ejpam-3028	426	25	of	of	ADP
ejpam-3028	426	26	sciences	science	NOUN
ejpam-3028	426	27	and	and	CCONJ
ejpam-3028	426	28	mathematics	mathematics	PROPN
ejpam-3028	426	29	university	university	PROPN
ejpam-3028	426	30	of	of	ADP
ejpam-3028	426	31	nis	nis	PROPN
ejpam-3028	426	32	,	,	PUNCT
ejpam-3028	426	33	21	21	NUM
ejpam-3028	426	34	(	(	PUNCT
ejpam-3028	426	35	1	1	NUM
ejpam-3028	426	36	)	)	PUNCT
ejpam-3028	426	37	(	(	PUNCT
ejpam-3028	426	38	2007	2007	NUM
ejpam-3028	426	39	)	)	PUNCT
ejpam-3028	426	40	87	87	NUM
ejpam-3028	426	41	-	-	SYM
ejpam-3028	426	42	97	97	NUM
ejpam-3028	427	1	[	[	SYM
ejpam-3028	427	2	13	13	NUM
ejpam-3028	427	3	]	]	PUNCT
ejpam-3028	427	4	s.	s.	PROPN
ejpam-3028	427	5	a.	a.	PROPN
ejpam-3028	427	6	el	el	PROPN
ejpam-3028	427	7	-	-	PUNCT
ejpam-3028	427	8	sheikh	sheikh	PROPN
ejpam-3028	427	9	and	and	CCONJ
ejpam-3028	427	10	a.	a.	NOUN
ejpam-3028	427	11	m.	m.	NOUN
ejpam-3028	427	12	abd	abd	PROPN
ejpam-3028	427	13	el	el	PROPN
ejpam-3028	427	14	-	-	PROPN
ejpam-3028	427	15	latif	latif	PROPN
ejpam-3028	427	16	,	,	PUNCT
ejpam-3028	427	17	decompositions	decomposition	NOUN
ejpam-3028	427	18	of	of	ADP
ejpam-3028	427	19	some	some	DET
ejpam-3028	427	20	types	type	NOUN
ejpam-3028	427	21	of	of	ADP
ejpam-3028	427	22	supra	supra	ADJ
ejpam-3028	427	23	soft	soft	ADJ
ejpam-3028	427	24	sets	set	NOUN
ejpam-3028	427	25	and	and	CCONJ
ejpam-3028	427	26	soft	soft	ADJ
ejpam-3028	427	27	continuity	continuity	NOUN
ejpam-3028	427	28	,	,	PUNCT
ejpam-3028	427	29	international	international	ADJ
ejpam-3028	427	30	journal	journal	NOUN
ejpam-3028	427	31	of	of	ADP
ejpam-3028	427	32	mathematics	mathematics	NOUN
ejpam-3028	427	33	trends	trend	NOUN
ejpam-3028	427	34	and	and	CCONJ
ejpam-3028	427	35	technology	technology	NOUN
ejpam-3028	427	36	,	,	PUNCT
ejpam-3028	427	37	9	9	NUM
ejpam-3028	427	38	(	(	PUNCT
ejpam-3028	427	39	1	1	NUM
ejpam-3028	427	40	)	)	PUNCT
ejpam-3028	427	41	(	(	PUNCT
ejpam-3028	427	42	2014	2014	NUM
ejpam-3028	427	43	)	)	PUNCT
ejpam-3028	427	44	37	37	NUM
ejpam-3028	427	45	-	-	SYM
ejpam-3028	427	46	56	56	NUM
ejpam-3028	427	47	.	.	PUNCT
ejpam-3028	428	1	[	[	X
ejpam-3028	428	2	14	14	NUM
ejpam-3028	428	3	]	]	PUNCT
ejpam-3028	428	4	s.	s.	PROPN
ejpam-3028	428	5	a.	a.	PROPN
ejpam-3028	428	6	el	el	PROPN
ejpam-3028	428	7	-	-	PUNCT
ejpam-3028	428	8	sheikh	sheikh	PROPN
ejpam-3028	428	9	,	,	PUNCT
ejpam-3028	428	10	a	a	DET
ejpam-3028	428	11	new	new	ADJ
ejpam-3028	428	12	approach	approach	NOUN
ejpam-3028	428	13	to	to	ADP
ejpam-3028	428	14	fuzzy	fuzzy	ADJ
ejpam-3028	428	15	bitopological	bitopological	ADJ
ejpam-3028	428	16	spaces	space	NOUN
ejpam-3028	428	17	,	,	PUNCT
ejpam-3028	428	18	information	information	NOUN
ejpam-3028	428	19	sciences	science	NOUN
ejpam-3028	428	20	,	,	PUNCT
ejpam-3028	428	21	137	137	NUM
ejpam-3028	428	22	(	(	PUNCT
ejpam-3028	428	23	2001	2001	NUM
ejpam-3028	428	24	)	)	PUNCT
ejpam-3028	428	25	283	283	NUM
ejpam-3028	428	26	-	-	SYM
ejpam-3028	428	27	301	301	NUM
ejpam-3028	428	28	.	.	PUNCT
ejpam-3028	429	1	[	[	X
ejpam-3028	429	2	15	15	NUM
ejpam-3028	429	3	]	]	X
ejpam-3028	429	4	a.	a.	NOUN
ejpam-3028	429	5	kandil	kandil	PROPN
ejpam-3028	429	6	,	,	PUNCT
ejpam-3028	429	7	o.	o.	PROPN
ejpam-3028	429	8	a.	a.	PROPN
ejpam-3028	429	9	e.	e.	PROPN
ejpam-3028	429	10	tantawy	tantawy	PROPN
ejpam-3028	429	11	,	,	PUNCT
ejpam-3028	429	12	s.	s.	PROPN
ejpam-3028	429	13	a.	a.	PROPN
ejpam-3028	429	14	el	el	PROPN
ejpam-3028	429	15	-	-	PUNCT
ejpam-3028	429	16	sheikh	sheikh	PROPN
ejpam-3028	429	17	and	and	CCONJ
ejpam-3028	429	18	a.	a.	NOUN
ejpam-3028	429	19	m.	m.	NOUN
ejpam-3028	429	20	abd	abd	PROPN
ejpam-3028	429	21	el	el	PROPN
ejpam-3028	429	22	-	-	PROPN
ejpam-3028	429	23	latif	latif	PROPN
ejpam-3028	429	24	,	,	PUNCT
ejpam-3028	429	25	soft	soft	ADJ
ejpam-3028	429	26	ideal	ideal	ADJ
ejpam-3028	429	27	theory	theory	NOUN
ejpam-3028	429	28	,	,	PUNCT
ejpam-3028	429	29	soft	soft	ADJ
ejpam-3028	429	30	local	local	ADJ
ejpam-3028	429	31	function	function	NOUN
ejpam-3028	429	32	and	and	CCONJ
ejpam-3028	429	33	generated	generate	VERB
ejpam-3028	429	34	soft	soft	ADJ
ejpam-3028	429	35	topological	topological	ADJ
ejpam-3028	429	36	spaces	space	NOUN
ejpam-3028	429	37	,	,	PUNCT
ejpam-3028	429	38	appl	appl	PROPN
ejpam-3028	429	39	.	.	PROPN
ejpam-3028	429	40	math	math	PROPN
ejpam-3028	429	41	.	.	PUNCT
ejpam-3028	430	1	inf	inf	PROPN
ejpam-3028	430	2	.	.	PUNCT
ejpam-3028	431	1	sci	sci	PROPN
ejpam-3028	431	2	.	.	PROPN
ejpam-3028	431	3	,	,	PUNCT
ejpam-3028	431	4	8	8	NUM
ejpam-3028	431	5	(	(	PUNCT
ejpam-3028	431	6	4	4	NUM
ejpam-3028	431	7	)	)	PUNCT
ejpam-3028	431	8	(	(	PUNCT
ejpam-3028	431	9	2014	2014	NUM
ejpam-3028	431	10	)	)	PUNCT
ejpam-3028	431	11	1595	1595	NUM
ejpam-3028	431	12	-	-	SYM
ejpam-3028	431	13	1603	1603	NUM
ejpam-3028	431	14	.	.	PUNCT
ejpam-3028	432	1	[	[	X
ejpam-3028	432	2	16	16	NUM
ejpam-3028	432	3	]	]	PUNCT
ejpam-3028	432	4	a.	a.	NOUN
ejpam-3028	432	5	kandil	kandil	PROPN
ejpam-3028	432	6	,	,	PUNCT
ejpam-3028	432	7	o.	o.	PROPN
ejpam-3028	432	8	a.	a.	PROPN
ejpam-3028	432	9	e.	e.	PROPN
ejpam-3028	432	10	tantawy	tantawy	PROPN
ejpam-3028	432	11	,	,	PUNCT
ejpam-3028	432	12	s.	s.	PROPN
ejpam-3028	432	13	a.	a.	PROPN
ejpam-3028	432	14	el	el	PROPN
ejpam-3028	432	15	-	-	PUNCT
ejpam-3028	432	16	sheikh	sheikh	PROPN
ejpam-3028	432	17	and	and	CCONJ
ejpam-3028	432	18	a.	a.	NOUN
ejpam-3028	432	19	m.	m.	NOUN
ejpam-3028	432	20	abd	abd	PROPN
ejpam-3028	432	21	el	el	PROPN
ejpam-3028	432	22	-	-	PROPN
ejpam-3028	432	23	latif	latif	PROPN
ejpam-3028	432	24	,	,	PUNCT
ejpam-3028	432	25	supra	supra	PROPN
ejpam-3028	432	26	generalized	generalize	VERB
ejpam-3028	432	27	closed	close	VERB
ejpam-3028	432	28	soft	soft	ADJ
ejpam-3028	432	29	sets	set	NOUN
ejpam-3028	432	30	with	with	ADP
ejpam-3028	432	31	respect	respect	NOUN
ejpam-3028	432	32	to	to	ADP
ejpam-3028	432	33	an	an	DET
ejpam-3028	432	34	soft	soft	ADJ
ejpam-3028	432	35	ideal	ideal	NOUN
ejpam-3028	432	36	in	in	ADP
ejpam-3028	432	37	supra	supra	PROPN
ejpam-3028	432	38	soft	soft	ADJ
ejpam-3028	432	39	topological	topological	ADJ
ejpam-3028	432	40	spaces	space	NOUN
ejpam-3028	432	41	,	,	PUNCT
ejpam-3028	432	42	appl	appl	PROPN
ejpam-3028	432	43	.	.	PROPN
ejpam-3028	432	44	math	math	PROPN
ejpam-3028	432	45	.	.	PUNCT
ejpam-3028	433	1	inf	inf	PROPN
ejpam-3028	433	2	.	.	PUNCT
ejpam-3028	434	1	sci	sci	PROPN
ejpam-3028	434	2	.	.	PROPN
ejpam-3028	434	3	,	,	PUNCT
ejpam-3028	434	4	8	8	NUM
ejpam-3028	434	5	(	(	PUNCT
ejpam-3028	434	6	4	4	NUM
ejpam-3028	434	7	)	)	PUNCT
ejpam-3028	434	8	(	(	PUNCT
ejpam-3028	434	9	2014	2014	NUM
ejpam-3028	434	10	)	)	PUNCT
ejpam-3028	434	11	1731–1740	1731–1740	NUM
ejpam-3028	434	12	.	.	PUNCT
ejpam-3028	435	1	references	reference	NOUN
ejpam-3028	435	2	849	849	NUM
ejpam-3028	435	3	[	[	X
ejpam-3028	435	4	17	17	NUM
ejpam-3028	435	5	]	]	PUNCT
ejpam-3028	435	6	a.	a.	NOUN
ejpam-3028	435	7	s.	s.	PROPN
ejpam-3028	435	8	mashhour	mashhour	PROPN
ejpam-3028	435	9	,	,	PUNCT
ejpam-3028	435	10	a.	a.	PROPN
ejpam-3028	435	11	a.	a.	PROPN
ejpam-3028	435	12	allam	allam	PROPN
ejpam-3028	435	13	,	,	PUNCT
ejpam-3028	435	14	f.	f.	PROPN
ejpam-3028	435	15	s.	s.	PROPN
ejpam-3028	435	16	mahmoud	mahmoud	PROPN
ejpam-3028	435	17	and	and	CCONJ
ejpam-3028	435	18	f.	f.	PROPN
ejpam-3028	435	19	h.	h.	PROPN
ejpam-3028	435	20	khedr	khedr	PROPN
ejpam-3028	435	21	,	,	PUNCT
ejpam-3028	435	22	on	on	ADP
ejpam-3028	435	23	supra	supra	PROPN
ejpam-3028	435	24	topological	topological	ADJ
ejpam-3028	435	25	spaces	space	NOUN
ejpam-3028	435	26	,	,	PUNCT
ejpam-3028	435	27	indian	indian	PROPN
ejpam-3028	435	28	j.	j.	PROPN
ejpam-3028	435	29	pure	pure	PROPN
ejpam-3028	435	30	and	and	CCONJ
ejpam-3028	435	31	appl	appl	PROPN
ejpam-3028	435	32	.	.	PROPN
ejpam-3028	435	33	math	math	PROPN
ejpam-3028	435	34	.	.	PUNCT
ejpam-3028	436	1	,	,	PUNCT
ejpam-3028	436	2	4	4	NUM
ejpam-3028	436	3	(	(	PUNCT
ejpam-3028	436	4	14	14	NUM
ejpam-3028	436	5	)	)	PUNCT
ejpam-3028	436	6	(	(	PUNCT
ejpam-3028	436	7	1983	1983	NUM
ejpam-3028	436	8	)	)	PUNCT
ejpam-3028	436	9	502	502	NUM
ejpam-3028	436	10	-	-	SYM
ejpam-3028	436	11	510	510	NUM
ejpam-3028	436	12	.	.	PUNCT
ejpam-3028	437	1	[	[	X
ejpam-3028	437	2	18	18	NUM
ejpam-3028	437	3	]	]	X
ejpam-3028	437	4	d.	d.	PROPN
ejpam-3028	437	5	molodtsov	molodtsov	PROPN
ejpam-3028	437	6	,	,	PUNCT
ejpam-3028	437	7	soft	soft	ADJ
ejpam-3028	437	8	set	set	NOUN
ejpam-3028	437	9	theory	theory	NOUN
ejpam-3028	437	10	-	-	PUNCT
ejpam-3028	437	11	first	first	ADJ
ejpam-3028	437	12	tresults	tresult	NOUN
ejpam-3028	437	13	,	,	PUNCT
ejpam-3028	437	14	comput	comput	NOUN
ejpam-3028	437	15	.	.	PUNCT
ejpam-3028	438	1	math	math	NOUN
ejpam-3028	438	2	.	.	PUNCT
ejpam-3028	439	1	appl	appl	PROPN
ejpam-3028	439	2	.	.	PROPN
ejpam-3028	439	3	,	,	PUNCT
ejpam-3028	439	4	37	37	NUM
ejpam-3028	439	5	(	(	PUNCT
ejpam-3028	439	6	1999	1999	NUM
ejpam-3028	439	7	)	)	PUNCT
ejpam-3028	439	8	19	19	NUM
ejpam-3028	439	9	-	-	SYM
ejpam-3028	439	10	31	31	NUM
ejpam-3028	439	11	.	.	PUNCT
ejpam-3028	440	1	[	[	X
ejpam-3028	440	2	19	19	NUM
ejpam-3028	440	3	]	]	PUNCT
ejpam-3028	440	4	v.	v.	CCONJ
ejpam-3028	440	5	popa	popa	NOUN
ejpam-3028	440	6	and	and	CCONJ
ejpam-3028	440	7	t.	t.	PROPN
ejpam-3028	440	8	noiri	noiri	PROPN
ejpam-3028	440	9	,	,	PUNCT
ejpam-3028	440	10	on	on	ADP
ejpam-3028	440	11	the	the	DET
ejpam-3028	440	12	definitions	definition	NOUN
ejpam-3028	440	13	of	of	ADP
ejpam-3028	440	14	some	some	DET
ejpam-3028	440	15	generalized	generalized	ADJ
ejpam-3028	440	16	forms	form	NOUN
ejpam-3028	440	17	of	of	ADP
ejpam-3028	440	18	continuity	continuity	NOUN
ejpam-3028	440	19	under	under	ADP
ejpam-3028	440	20	minimal	minimal	ADJ
ejpam-3028	440	21	conditions	condition	NOUN
ejpam-3028	440	22	,	,	PUNCT
ejpam-3028	440	23	mem	mem	PROPN
ejpam-3028	440	24	.	.	PUNCT
ejpam-3028	440	25	fac	fac	PROPN
ejpam-3028	440	26	.	.	PUNCT
ejpam-3028	440	27	sci	sci	PROPN
ejpam-3028	440	28	.	.	PROPN
ejpam-3028	440	29	kochi	kochi	PROPN
ejpam-3028	440	30	univ	univ	PROPN
ejpam-3028	440	31	.	.	PUNCT
ejpam-3028	440	32	math	math	PROPN
ejpam-3028	440	33	.	.	PUNCT
ejpam-3028	441	1	ser	ser	PROPN
ejpam-3028	441	2	.	.	PROPN
ejpam-3028	441	3	,	,	PUNCT
ejpam-3028	441	4	22	22	NUM
ejpam-3028	441	5	(	(	PUNCT
ejpam-3028	441	6	2001	2001	NUM
ejpam-3028	441	7	)	)	PUNCT
ejpam-3028	441	8	9	9	NUM
ejpam-3028	441	9	-	-	SYM
ejpam-3028	441	10	19	19	NUM
ejpam-3028	441	11	.	.	PUNCT
ejpam-3028	442	1	[	[	X
ejpam-3028	442	2	20	20	NUM
ejpam-3028	442	3	]	]	SYM
ejpam-3028	442	4	saziye	saziye	NOUN
ejpam-3028	442	5	yuksel	yuksel	PROPN
ejpam-3028	442	6	,	,	PUNCT
ejpam-3028	442	7	soft	soft	ADJ
ejpam-3028	442	8	regular	regular	ADJ
ejpam-3028	442	9	generalized	generalized	ADJ
ejpam-3028	442	10	closed	closed	ADJ
ejpam-3028	442	11	sets	set	NOUN
ejpam-3028	442	12	in	in	ADP
ejpam-3028	442	13	soft	soft	ADJ
ejpam-3028	442	14	topological	topological	ADJ
ejpam-3028	442	15	spaces	space	NOUN
ejpam-3028	442	16	,	,	PUNCT
ejpam-3028	442	17	int	int	PROPN
ejpam-3028	442	18	.	.	PUNCT
ejpam-3028	443	1	journal	journal	PROPN
ejpam-3028	443	2	of	of	ADP
ejpam-3028	443	3	math	math	NOUN
ejpam-3028	443	4	.	.	PUNCT
ejpam-3028	444	1	analysis	analysis	NOUN
ejpam-3028	444	2	,	,	PUNCT
ejpam-3028	444	3	8	8	NUM
ejpam-3028	444	4	(	(	PUNCT
ejpam-3028	444	5	8)	8)	NUM
ejpam-3028	444	6	(	(	PUNCT
ejpam-3028	444	7	2014	2014	NUM
ejpam-3028	444	8	)	)	PUNCT
ejpam-3028	444	9	355	355	NUM
ejpam-3028	444	10	-	-	SYM
ejpam-3028	444	11	367	367	NUM
ejpam-3028	444	12	.	.	PUNCT
ejpam-3028	445	1	[	[	X
ejpam-3028	445	2	21	21	NUM
ejpam-3028	445	3	]	]	PUNCT
ejpam-3028	445	4	m.	m.	NOUN
ejpam-3028	445	5	shabir	shabir	PROPN
ejpam-3028	445	6	and	and	CCONJ
ejpam-3028	445	7	m.	m.	PROPN
ejpam-3028	445	8	naz	naz	PROPN
ejpam-3028	445	9	,	,	PUNCT
ejpam-3028	445	10	on	on	ADP
ejpam-3028	445	11	soft	soft	ADJ
ejpam-3028	445	12	topological	topological	ADJ
ejpam-3028	445	13	spaces	space	NOUN
ejpam-3028	445	14	,	,	PUNCT
ejpam-3028	445	15	comput	comput	NOUN
ejpam-3028	445	16	.	.	PUNCT
ejpam-3028	446	1	math	math	NOUN
ejpam-3028	446	2	.	.	PUNCT
ejpam-3028	447	1	appl	appl	PROPN
ejpam-3028	447	2	.	.	PROPN
ejpam-3028	447	3	,	,	PUNCT
ejpam-3028	447	4	61	61	NUM
ejpam-3028	447	5	(	(	PUNCT
ejpam-3028	447	6	2011	2011	NUM
ejpam-3028	447	7	)	)	PUNCT
ejpam-3028	447	8	1786	1786	NUM
ejpam-3028	447	9	-	-	SYM
ejpam-3028	447	10	1799	1799	NUM
ejpam-3028	447	11	.	.	PUNCT
ejpam-3028	448	1	[	[	X
ejpam-3028	448	2	22	22	NUM
ejpam-3028	448	3	]	]	PUNCT
ejpam-3028	448	4	simge	simge	NOUN
ejpam-3028	448	5	oztun	oztun	PROPN
ejpam-3028	448	6	,	,	PUNCT
ejpam-3028	448	7	ali	ali	PROPN
ejpam-3028	448	8	mutlu	mutlu	PROPN
ejpam-3028	448	9	and	and	CCONJ
ejpam-3028	448	10	aysun	aysun	PROPN
ejpam-3028	448	11	erdogan	erdogan	ADJ
ejpam-3028	448	12	sert	sert	PROPN
ejpam-3028	448	13	,	,	PUNCT
ejpam-3028	448	14	monomorphism	monomorphism	NOUN
ejpam-3028	448	15	and	and	CCONJ
ejpam-3028	448	16	epimorphism	epimorphism	NOUN
ejpam-3028	448	17	properties	property	NOUN
ejpam-3028	448	18	of	of	ADP
ejpam-3028	448	19	soft	soft	ADJ
ejpam-3028	448	20	categories	category	NOUN
ejpam-3028	448	21	,	,	PUNCT
ejpam-3028	448	22	european	european	ADJ
ejpam-3028	448	23	journal	journal	PROPN
ejpam-3028	448	24	of	of	ADP
ejpam-3028	448	25	pure	pure	ADJ
ejpam-3028	448	26	and	and	CCONJ
ejpam-3028	448	27	applied	applied	ADJ
ejpam-3028	448	28	mathematics	mathematic	NOUN
ejpam-3028	448	29	,	,	PUNCT
ejpam-3028	448	30	2017	2017	NUM
ejpam-3028	448	31	,	,	PUNCT
ejpam-3028	448	32	in	in	ADP
ejpam-3028	448	33	press	press	NOUN
ejpam-3028	448	34	.	.	PUNCT
ejpam-3028	449	1	[	[	X
ejpam-3028	449	2	23	23	NUM
ejpam-3028	449	3	]	]	PUNCT
ejpam-3028	449	4	simge	simge	NOUN
ejpam-3028	449	5	oztun	oztun	PROPN
ejpam-3028	449	6	,	,	PUNCT
ejpam-3028	449	7	some	some	DET
ejpam-3028	449	8	properties	property	NOUN
ejpam-3028	449	9	of	of	ADP
ejpam-3028	449	10	soft	soft	ADJ
ejpam-3028	449	11	categories	category	NOUN
ejpam-3028	449	12	,	,	PUNCT
ejpam-3028	449	13	international	international	ADJ
ejpam-3028	449	14	journal	journal	NOUN
ejpam-3028	449	15	of	of	ADP
ejpam-3028	449	16	modeling	modeling	NOUN
ejpam-3028	449	17	and	and	CCONJ
ejpam-3028	449	18	optimization	optimization	NOUN
ejpam-3028	449	19	,	,	PUNCT
ejpam-3028	449	20	6	6	NUM
ejpam-3028	449	21	(	(	PUNCT
ejpam-3028	449	22	2	2	NUM
ejpam-3028	449	23	)	)	PUNCT
ejpam-3028	449	24	(	(	PUNCT
ejpam-3028	449	25	2016	2016	NUM
ejpam-3028	449	26	)	)	PUNCT
ejpam-3028	449	27	91	91	NUM
ejpam-3028	449	28	-	-	SYM
ejpam-3028	449	29	95	95	NUM
ejpam-3028	449	30	.	.	PUNCT
ejpam-3028	450	1	[	[	X
ejpam-3028	450	2	24	24	NUM
ejpam-3028	450	3	]	]	PUNCT
ejpam-3028	450	4	simge	simge	NOUN
ejpam-3028	450	5	oztun	oztun	NOUN
ejpam-3028	450	6	and	and	CCONJ
ejpam-3028	450	7	sultan	sultan	PROPN
ejpam-3028	450	8	ihtiyar	ihtiyar	PROPN
ejpam-3028	450	9	,	,	PUNCT
ejpam-3028	450	10	properties	property	NOUN
ejpam-3028	450	11	of	of	ADP
ejpam-3028	450	12	soft	soft	ADJ
ejpam-3028	450	13	homotopy	homotopy	NOUN
ejpam-3028	450	14	in	in	ADP
ejpam-3028	450	15	digital	digital	ADJ
ejpam-3028	450	16	images	image	NOUN
ejpam-3028	450	17	,	,	PUNCT
ejpam-3028	450	18	american	american	ADJ
ejpam-3028	450	19	instutite	instutite	NOUN
ejpam-3028	450	20	of	of	ADP
ejpam-3028	450	21	physics	physics	PROPN
ejpam-3028	450	22	,	,	PUNCT
ejpam-3028	450	23	1798	1798	NUM
ejpam-3028	450	24	,	,	PUNCT
ejpam-3028	450	25	020120	020120	NUM
ejpam-3028	450	26	(	(	PUNCT
ejpam-3028	450	27	2017	2017	NUM
ejpam-3028	450	28	)	)	PUNCT
ejpam-3028	450	29	;	;	PUNCT
ejpam-3028	450	30	doi:10.1063/1.4972712	doi:10.1063/1.4972712	NOUN
ejpam-3028	450	31	.	.	PUNCT
ejpam-3028	451	1	[	[	X
ejpam-3028	451	2	25	25	NUM
ejpam-3028	451	3	]	]	PUNCT
ejpam-3028	451	4	zehra	zehra	PROPN
ejpam-3028	451	5	guzel	guzel	PROPN
ejpam-3028	451	6	ergul	ergul	PROPN
ejpam-3028	451	7	and	and	CCONJ
ejpam-3028	451	8	saziye	saziye	NOUN
ejpam-3028	451	9	yuksel	yuksel	PROPN
ejpam-3028	451	10	,	,	PUNCT
ejpam-3028	451	11	supra	supra	PROPN
ejpam-3028	451	12	regular	regular	ADJ
ejpam-3028	451	13	generalized	generalize	VERB
ejpam-3028	451	14	closed	close	VERB
ejpam-3028	451	15	sets	set	NOUN
ejpam-3028	451	16	in	in	ADP
ejpam-3028	451	17	supra	supra	PROPN
ejpam-3028	451	18	soft	soft	ADJ
ejpam-3028	451	19	topological	topological	ADJ
ejpam-3028	451	20	spaces	space	NOUN
ejpam-3028	451	21	,	,	PUNCT
ejpam-3028	451	22	ann	ann	PROPN
ejpam-3028	451	23	.	.	PROPN
ejpam-3028	451	24	fuzzy	fuzzy	ADJ
ejpam-3028	451	25	math	math	NOUN
ejpam-3028	451	26	.	.	PUNCT
ejpam-3028	452	1	inform	inform	NOUN
ejpam-3028	452	2	.	.	PUNCT
ejpam-3028	453	1	,	,	PUNCT
ejpam-3028	453	2	11	11	NUM
ejpam-3028	453	3	(	(	PUNCT
ejpam-3028	453	4	3	3	NUM
ejpam-3028	453	5	)	)	PUNCT
ejpam-3028	453	6	(	(	PUNCT
ejpam-3028	453	7	2016	2016	NUM
ejpam-3028	453	8	)	)	PUNCT
ejpam-3028	453	9	349	349	NUM
ejpam-3028	453	10	-	-	SYM
ejpam-3028	453	11	360	360	NUM
ejpam-3028	453	12	.	.	PUNCT
ejpam-3028	454	1	[	[	X
ejpam-3028	454	2	26	26	NUM
ejpam-3028	454	3	]	]	X
ejpam-3028	454	4	i.	i.	PROPN
ejpam-3028	454	5	zorlutuna	zorlutuna	PROPN
ejpam-3028	454	6	,	,	PUNCT
ejpam-3028	454	7	m.	m.	NOUN
ejpam-3028	454	8	akdag	akdag	PROPN
ejpam-3028	454	9	,	,	PUNCT
ejpam-3028	454	10	w.k	w.k	PROPN
ejpam-3028	454	11	.	.	PROPN
ejpam-3028	454	12	min	min	PROPN
ejpam-3028	454	13	and	and	CCONJ
ejpam-3028	454	14	s.	s.	PROPN
ejpam-3028	454	15	atmaca	atmaca	PROPN
ejpam-3028	454	16	,	,	PUNCT
ejpam-3028	454	17	remarks	remark	NOUN
ejpam-3028	454	18	on	on	ADP
ejpam-3028	454	19	soft	soft	ADJ
ejpam-3028	454	20	topological	topological	ADJ
ejpam-3028	454	21	spaces	space	NOUN
ejpam-3028	454	22	,	,	PUNCT
ejpam-3028	454	23	ann	ann	PROPN
ejpam-3028	454	24	.	.	PROPN
ejpam-3028	454	25	fuzzy	fuzzy	ADJ
ejpam-3028	454	26	math	math	NOUN
ejpam-3028	454	27	.	.	PUNCT
ejpam-3028	455	1	inform	inform	NOUN
ejpam-3028	455	2	.	.	PUNCT
ejpam-3028	455	3	,	,	PUNCT
ejpam-3028	455	4	3	3	NUM
ejpam-3028	455	5	(	(	PUNCT
ejpam-3028	455	6	2	2	NUM
ejpam-3028	455	7	)	)	PUNCT
ejpam-3028	455	8	(	(	PUNCT
ejpam-3028	455	9	2012	2012	NUM
ejpam-3028	455	10	)	)	PUNCT
ejpam-3028	455	11	171	171	NUM
ejpam-3028	455	12	-	-	SYM
ejpam-3028	455	13	185	185	NUM
ejpam-3028	455	14	.	.	PUNCT