id	sid	tid	token	lemma	pos
ejpam-6513	1	1	european	european	PROPN
ejpam-6513	1	2	journal	journal	PROPN
ejpam-6513	1	3	of	of	ADP
ejpam-6513	1	4	pure	pure	ADJ
ejpam-6513	1	5	and	and	CCONJ
ejpam-6513	1	6	applied	applied	ADJ
ejpam-6513	1	7	mathematics	mathematic	NOUN
ejpam-6513	1	8	2025	2025	NUM
ejpam-6513	1	9	,	,	PUNCT
ejpam-6513	1	10	vol	vol	NOUN
ejpam-6513	1	11	.	.	PROPN
ejpam-6513	1	12	18	18	NUM
ejpam-6513	1	13	,	,	PUNCT
ejpam-6513	1	14	issue	issue	NOUN
ejpam-6513	1	15	3	3	NUM
ejpam-6513	1	16	,	,	PUNCT
ejpam-6513	1	17	article	article	NOUN
ejpam-6513	1	18	number	number	NOUN
ejpam-6513	1	19	6513	6513	NUM
ejpam-6513	1	20	issn	issn	PROPN
ejpam-6513	1	21	1307	1307	NUM
ejpam-6513	1	22	-	-	SYM
ejpam-6513	1	23	5543	5543	NUM
ejpam-6513	1	24	–	–	PUNCT
ejpam-6513	1	25	ejpam.com	ejpam.com	X
ejpam-6513	1	26	published	publish	VERB
ejpam-6513	1	27	by	by	ADP
ejpam-6513	1	28	new	new	PROPN
ejpam-6513	1	29	york	york	PROPN
ejpam-6513	1	30	business	business	PROPN
ejpam-6513	1	31	global	global	ADJ
ejpam-6513	1	32	novel	novel	NOUN
ejpam-6513	1	33	results	result	NOUN
ejpam-6513	1	34	on	on	ADP
ejpam-6513	1	35	d	d	ADJ
ejpam-6513	1	36	-	-	ADJ
ejpam-6513	1	37	soft	soft	ADJ
ejpam-6513	1	38	compact	compact	ADJ
ejpam-6513	1	39	spaces	space	NOUN
ejpam-6513	1	40	jamal	jamal	PROPN
ejpam-6513	1	41	oudetallah1	oudetallah1	PROPN
ejpam-6513	1	42	,	,	PUNCT
ejpam-6513	1	43	ahmad	ahmad	PROPN
ejpam-6513	1	44	almalkawi2	almalkawi2	PROPN
ejpam-6513	1	45	,	,	PUNCT
ejpam-6513	1	46	rahmeh	rahmeh	PROPN
ejpam-6513	1	47	alrababah3	alrababah3	PROPN
ejpam-6513	1	48	,	,	PUNCT
ejpam-6513	1	49	ala	ala	PROPN
ejpam-6513	1	50	amourah4,5,∗	amourah4,5,∗	PROPN
ejpam-6513	1	51	,	,	PUNCT
ejpam-6513	1	52	abdullah	abdullah	PROPN
ejpam-6513	1	53	alsoboh6,∗	alsoboh6,∗	PROPN
ejpam-6513	1	54	,	,	PUNCT
ejpam-6513	1	55	khaled	khaled	PROPN
ejpam-6513	1	56	al	al	PROPN
ejpam-6513	1	57	mashrafi6	mashrafi6	PROPN
ejpam-6513	1	58	,	,	PUNCT
ejpam-6513	1	59	tala	tala	PROPN
ejpam-6513	1	60	sasa7	sasa7	PROPN
ejpam-6513	1	61	1	1	NUM
ejpam-6513	1	62	department	department	NOUN
ejpam-6513	1	63	of	of	ADP
ejpam-6513	1	64	mathematics	mathematics	PROPN
ejpam-6513	1	65	,	,	PUNCT
ejpam-6513	1	66	university	university	PROPN
ejpam-6513	1	67	of	of	ADP
ejpam-6513	1	68	petra	petra	PROPN
ejpam-6513	1	69	,	,	PUNCT
ejpam-6513	1	70	amman	amman	PROPN
ejpam-6513	1	71	,	,	PUNCT
ejpam-6513	1	72	11196	11196	NUM
ejpam-6513	1	73	,	,	PUNCT
ejpam-6513	1	74	jordan	jordan	PROPN
ejpam-6513	1	75	.	.	PROPN
ejpam-6513	2	1	2	2	NUM
ejpam-6513	2	2	modern	modern	ADJ
ejpam-6513	2	3	college	college	NOUN
ejpam-6513	2	4	of	of	ADP
ejpam-6513	2	5	business	business	NOUN
ejpam-6513	2	6	and	and	CCONJ
ejpam-6513	2	7	science	science	NOUN
ejpam-6513	2	8	,	,	PUNCT
ejpam-6513	2	9	muscat	muscat	PROPN
ejpam-6513	2	10	,	,	PUNCT
ejpam-6513	2	11	sultanate	sultanate	NOUN
ejpam-6513	2	12	of	of	ADP
ejpam-6513	2	13	oman	oman	NOUN
ejpam-6513	2	14	.	.	PUNCT
ejpam-6513	3	1	3	3	NUM
ejpam-6513	3	2	ajloun	ajloun	PROPN
ejpam-6513	3	3	national	national	ADJ
ejpam-6513	3	4	university	university	PROPN
ejpam-6513	3	5	,	,	PUNCT
ejpam-6513	3	6	college	college	NOUN
ejpam-6513	3	7	of	of	ADP
ejpam-6513	3	8	sciences	sciences	PROPN
ejpam-6513	3	9	,	,	PUNCT
ejpam-6513	3	10	dept	dept	NOUN
ejpam-6513	3	11	.	.	PROPN
ejpam-6513	3	12	of	of	ADP
ejpam-6513	3	13	math	math	NOUN
ejpam-6513	3	14	,	,	PUNCT
ejpam-6513	3	15	jordan	jordan	PROPN
ejpam-6513	3	16	.	.	PROPN
ejpam-6513	4	1	4	4	NUM
ejpam-6513	4	2	mathematics	mathematics	PROPN
ejpam-6513	4	3	education	education	NOUN
ejpam-6513	4	4	program	program	NOUN
ejpam-6513	4	5	,	,	PUNCT
ejpam-6513	4	6	faculty	faculty	NOUN
ejpam-6513	4	7	of	of	ADP
ejpam-6513	4	8	education	education	NOUN
ejpam-6513	4	9	and	and	CCONJ
ejpam-6513	4	10	arts	art	NOUN
ejpam-6513	4	11	,	,	PUNCT
ejpam-6513	4	12	sohar	sohar	PROPN
ejpam-6513	4	13	university	university	PROPN
ejpam-6513	4	14	,	,	PUNCT
ejpam-6513	4	15	sohar	sohar	PROPN
ejpam-6513	4	16	311	311	NUM
ejpam-6513	4	17	,	,	PUNCT
ejpam-6513	4	18	oman	oman	NOUN
ejpam-6513	4	19	.	.	PUNCT
ejpam-6513	5	1	5	5	NUM
ejpam-6513	5	2	jadara	jadara	PROPN
ejpam-6513	5	3	research	research	NOUN
ejpam-6513	5	4	center	center	NOUN
ejpam-6513	5	5	,	,	PUNCT
ejpam-6513	5	6	jadara	jadara	PROPN
ejpam-6513	5	7	university	university	PROPN
ejpam-6513	5	8	,	,	PUNCT
ejpam-6513	5	9	irbid	irbid	VERB
ejpam-6513	5	10	21110	21110	NUM
ejpam-6513	5	11	,	,	PUNCT
ejpam-6513	5	12	jordan	jordan	PROPN
ejpam-6513	5	13	6	6	NUM
ejpam-6513	5	14	college	college	NOUN
ejpam-6513	5	15	of	of	ADP
ejpam-6513	5	16	applied	apply	VERB
ejpam-6513	5	17	and	and	CCONJ
ejpam-6513	5	18	health	health	NOUN
ejpam-6513	5	19	sciences	science	NOUN
ejpam-6513	5	20	,	,	PUNCT
ejpam-6513	5	21	a’sharqiyah	a’sharqiyah	PROPN
ejpam-6513	5	22	university	university	NOUN
ejpam-6513	5	23	,	,	PUNCT
ejpam-6513	6	1	post	post	PROPN
ejpam-6513	6	2	box	box	PROPN
ejpam-6513	6	3	no	no	INTJ
ejpam-6513	6	4	.	.	PROPN
ejpam-6513	6	5	42	42	NUM
ejpam-6513	6	6	,	,	PUNCT
ejpam-6513	6	7	post	post	VERB
ejpam-6513	6	8	code	code	NOUN
ejpam-6513	6	9	no	no	INTJ
ejpam-6513	6	10	.	.	PROPN
ejpam-6513	6	11	400	400	NUM
ejpam-6513	6	12	,	,	PUNCT
ejpam-6513	6	13	ibra	ibra	NOUN
ejpam-6513	6	14	,	,	PUNCT
ejpam-6513	6	15	sultanate	sultanate	NOUN
ejpam-6513	6	16	of	of	ADP
ejpam-6513	6	17	oman	oman	PROPN
ejpam-6513	6	18	7	7	NUM
ejpam-6513	6	19	department	department	NOUN
ejpam-6513	6	20	of	of	ADP
ejpam-6513	6	21	mathematics	mathematic	NOUN
ejpam-6513	6	22	,	,	PUNCT
ejpam-6513	6	23	faculty	faculty	NOUN
ejpam-6513	6	24	of	of	ADP
ejpam-6513	6	25	science	science	NOUN
ejpam-6513	6	26	,	,	PUNCT
ejpam-6513	6	27	applied	apply	VERB
ejpam-6513	6	28	science	science	NOUN
ejpam-6513	6	29	private	private	ADJ
ejpam-6513	6	30	university	university	NOUN
ejpam-6513	6	31	,	,	PUNCT
ejpam-6513	6	32	amman	amman	PROPN
ejpam-6513	6	33	,	,	PUNCT
ejpam-6513	6	34	jordan	jordan	PROPN
ejpam-6513	6	35	.	.	PUNCT
ejpam-6513	7	1	abstract	abstract	PROPN
ejpam-6513	7	2	.	.	PUNCT
ejpam-6513	8	1	this	this	DET
ejpam-6513	8	2	paper	paper	NOUN
ejpam-6513	8	3	introduces	introduce	NOUN
ejpam-6513	8	4	and	and	CCONJ
ejpam-6513	8	5	investigates	investigate	VERB
ejpam-6513	8	6	d	d	ADJ
ejpam-6513	8	7	-	-	ADJ
ejpam-6513	8	8	soft	soft	ADJ
ejpam-6513	8	9	compact	compact	ADJ
ejpam-6513	8	10	spaces	space	NOUN
ejpam-6513	8	11	,	,	PUNCT
ejpam-6513	8	12	a	a	DET
ejpam-6513	8	13	novel	novel	ADJ
ejpam-6513	8	14	generalization	generalization	NOUN
ejpam-6513	8	15	of	of	ADP
ejpam-6513	8	16	compactness	compactness	NOUN
ejpam-6513	8	17	in	in	ADP
ejpam-6513	8	18	soft	soft	ADJ
ejpam-6513	8	19	topological	topological	ADJ
ejpam-6513	8	20	spaces	space	NOUN
ejpam-6513	8	21	using	use	VERB
ejpam-6513	8	22	d	d	NOUN
ejpam-6513	8	23	-	-	ADJ
ejpam-6513	8	24	soft	soft	ADJ
ejpam-6513	8	25	covers	cover	NOUN
ejpam-6513	8	26	.	.	PUNCT
ejpam-6513	9	1	we	we	PRON
ejpam-6513	9	2	establish	establish	VERB
ejpam-6513	9	3	fundamental	fundamental	ADJ
ejpam-6513	9	4	properties	property	NOUN
ejpam-6513	9	5	,	,	PUNCT
ejpam-6513	9	6	characterizations	characterization	NOUN
ejpam-6513	9	7	,	,	PUNCT
ejpam-6513	9	8	and	and	CCONJ
ejpam-6513	9	9	relationships	relationship	NOUN
ejpam-6513	9	10	between	between	ADP
ejpam-6513	9	11	d	d	NOUN
ejpam-6513	9	12	-	-	ADJ
ejpam-6513	9	13	soft	soft	ADJ
ejpam-6513	9	14	compactness	compactness	NOUN
ejpam-6513	9	15	and	and	CCONJ
ejpam-6513	9	16	other	other	ADJ
ejpam-6513	9	17	forms	form	NOUN
ejpam-6513	9	18	of	of	ADP
ejpam-6513	9	19	soft	soft	ADJ
ejpam-6513	9	20	compactness	compactness	NOUN
ejpam-6513	9	21	.	.	PUNCT
ejpam-6513	10	1	key	key	ADJ
ejpam-6513	10	2	results	result	NOUN
ejpam-6513	10	3	include	include	VERB
ejpam-6513	10	4	the	the	DET
ejpam-6513	10	5	hereditary	hereditary	ADJ
ejpam-6513	10	6	nature	nature	NOUN
ejpam-6513	10	7	of	of	ADP
ejpam-6513	10	8	d	d	NOUN
ejpam-6513	10	9	-	-	ADJ
ejpam-6513	10	10	soft	soft	ADJ
ejpam-6513	10	11	compactness	compactness	NOUN
ejpam-6513	10	12	under	under	ADP
ejpam-6513	10	13	specific	specific	ADJ
ejpam-6513	10	14	conditions	condition	NOUN
ejpam-6513	10	15	,	,	PUNCT
ejpam-6513	10	16	the	the	DET
ejpam-6513	10	17	equivalence	equivalence	NOUN
ejpam-6513	10	18	between	between	ADP
ejpam-6513	10	19	d	d	NOUN
ejpam-6513	10	20	-	-	ADJ
ejpam-6513	10	21	soft	soft	ADJ
ejpam-6513	10	22	and	and	CCONJ
ejpam-6513	10	23	soft	soft	ADJ
ejpam-6513	10	24	compactness	compactness	NOUN
ejpam-6513	10	25	in	in	ADP
ejpam-6513	10	26	soft	soft	ADJ
ejpam-6513	10	27	locally	locally	ADV
ejpam-6513	10	28	indiscrete	indiscrete	ADJ
ejpam-6513	10	29	spaces	space	NOUN
ejpam-6513	10	30	,	,	PUNCT
ejpam-6513	10	31	and	and	CCONJ
ejpam-6513	10	32	preservation	preservation	NOUN
ejpam-6513	10	33	under	under	ADP
ejpam-6513	10	34	continuous	continuous	ADJ
ejpam-6513	10	35	mappings	mapping	NOUN
ejpam-6513	10	36	.	.	PUNCT
ejpam-6513	11	1	the	the	DET
ejpam-6513	11	2	study	study	NOUN
ejpam-6513	11	3	provides	provide	VERB
ejpam-6513	11	4	new	new	ADJ
ejpam-6513	11	5	perspectives	perspective	NOUN
ejpam-6513	11	6	on	on	ADP
ejpam-6513	11	7	compactness	compactness	NOUN
ejpam-6513	11	8	conditions	condition	NOUN
ejpam-6513	11	9	in	in	ADP
ejpam-6513	11	10	soft	soft	ADJ
ejpam-6513	11	11	topology	topology	NOUN
ejpam-6513	11	12	with	with	ADP
ejpam-6513	11	13	potential	potential	ADJ
ejpam-6513	11	14	applications	application	NOUN
ejpam-6513	11	15	in	in	ADP
ejpam-6513	11	16	decision	decision	NOUN
ejpam-6513	11	17	-	-	PUNCT
ejpam-6513	11	18	making	making	NOUN
ejpam-6513	11	19	and	and	CCONJ
ejpam-6513	11	20	uncertainty	uncertainty	NOUN
ejpam-6513	11	21	modeling	modeling	NOUN
ejpam-6513	11	22	.	.	PUNCT
ejpam-6513	12	1	several	several	ADJ
ejpam-6513	12	2	examples	example	NOUN
ejpam-6513	12	3	and	and	CCONJ
ejpam-6513	12	4	counterexamples	counterexample	NOUN
ejpam-6513	12	5	illustrate	illustrate	VERB
ejpam-6513	12	6	the	the	DET
ejpam-6513	12	7	theoretical	theoretical	ADJ
ejpam-6513	12	8	developments	development	NOUN
ejpam-6513	12	9	,	,	PUNCT
ejpam-6513	12	10	demonstrating	demonstrate	VERB
ejpam-6513	12	11	that	that	SCONJ
ejpam-6513	12	12	d	d	ADJ
ejpam-6513	12	13	-	-	PUNCT
ejpam-6513	12	14	soft	soft	ADJ
ejpam-6513	12	15	compactness	compactness	NOUN
ejpam-6513	12	16	is	be	AUX
ejpam-6513	12	17	generally	generally	ADV
ejpam-6513	12	18	stronger	strong	ADJ
ejpam-6513	12	19	than	than	ADP
ejpam-6513	12	20	soft	soft	ADJ
ejpam-6513	12	21	compactness	compactness	NOUN
ejpam-6513	12	22	.	.	PUNCT
ejpam-6513	13	1	2020	2020	NUM
ejpam-6513	13	2	mathematics	mathematic	NOUN
ejpam-6513	13	3	subject	subject	NOUN
ejpam-6513	13	4	classifications	classification	NOUN
ejpam-6513	13	5	:	:	PUNCT
ejpam-6513	13	6	ams	am	NOUN
ejpam-6513	13	7	54d30	54d30	NOUN
ejpam-6513	13	8	,	,	PUNCT
ejpam-6513	13	9	54e99	54e99	NUM
ejpam-6513	13	10	,	,	PUNCT
ejpam-6513	13	11	54d10	54d10	NUM
ejpam-6513	13	12	key	key	ADJ
ejpam-6513	13	13	words	word	NOUN
ejpam-6513	13	14	and	and	CCONJ
ejpam-6513	13	15	phrases	phrase	NOUN
ejpam-6513	13	16	:	:	PUNCT
ejpam-6513	13	17	soft	soft	ADJ
ejpam-6513	13	18	sets	set	NOUN
ejpam-6513	13	19	,	,	PUNCT
ejpam-6513	13	20	d	d	ADJ
ejpam-6513	13	21	-	-	ADJ
ejpam-6513	13	22	soft	soft	ADJ
ejpam-6513	13	23	set	set	NOUN
ejpam-6513	13	24	,	,	PUNCT
ejpam-6513	13	25	soft	soft	ADJ
ejpam-6513	13	26	cover	cover	NOUN
ejpam-6513	13	27	,	,	PUNCT
ejpam-6513	13	28	d	d	ADJ
ejpam-6513	13	29	-	-	ADJ
ejpam-6513	13	30	soft	soft	ADJ
ejpam-6513	13	31	cover	cover	NOUN
ejpam-6513	13	32	,	,	PUNCT
ejpam-6513	13	33	soft	soft	ADJ
ejpam-6513	13	34	set	set	NOUN
ejpam-6513	13	35	theory	theory	NOUN
ejpam-6513	13	36	,	,	PUNCT
ejpam-6513	13	37	soft	soft	ADJ
ejpam-6513	13	38	topology	topology	NOUN
ejpam-6513	13	39	,	,	PUNCT
ejpam-6513	13	40	soft	soft	ADJ
ejpam-6513	13	41	compact	compact	ADJ
ejpam-6513	13	42	space	space	NOUN
ejpam-6513	13	43	,	,	PUNCT
ejpam-6513	13	44	d	d	ADJ
ejpam-6513	13	45	-	-	ADJ
ejpam-6513	13	46	soft	soft	ADJ
ejpam-6513	13	47	compact	compact	ADJ
ejpam-6513	13	48	space	space	NOUN
ejpam-6513	13	49	.	.	PUNCT
ejpam-6513	14	1	notation	notation	NOUN
ejpam-6513	14	2	throughout	throughout	ADP
ejpam-6513	14	3	this	this	DET
ejpam-6513	14	4	paper	paper	NOUN
ejpam-6513	14	5	,	,	PUNCT
ejpam-6513	14	6	we	we	PRON
ejpam-6513	14	7	use	use	VERB
ejpam-6513	14	8	the	the	DET
ejpam-6513	14	9	following	following	ADJ
ejpam-6513	14	10	notation	notation	NOUN
ejpam-6513	14	11	:	:	PUNCT
ejpam-6513	14	12	∗corresponding	∗corresponde	VERB
ejpam-6513	14	13	author	author	NOUN
ejpam-6513	14	14	.	.	PUNCT
ejpam-6513	15	1	∗corresponding	∗corresponde	VERB
ejpam-6513	15	2	author	author	NOUN
ejpam-6513	15	3	.	.	PUNCT
ejpam-6513	16	1	doi	doi	NOUN
ejpam-6513	16	2	:	:	PUNCT
ejpam-6513	16	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6513	https://doi.org/10.29020/nybg.ejpam.v18i3.6513	PROPN
ejpam-6513	16	4	email	email	NOUN
ejpam-6513	16	5	addresses	address	NOUN
ejpam-6513	16	6	:	:	PUNCT
ejpam-6513	16	7	jamal.oudetallah@uop.edu.jo	jamal.oudetallah@uop.edu.jo	PROPN
ejpam-6513	16	8	(	(	PUNCT
ejpam-6513	16	9	j.	j.	PROPN
ejpam-6513	16	10	oudetallah	oudetallah	PROPN
ejpam-6513	16	11	)	)	PUNCT
ejpam-6513	16	12	,	,	PUNCT
ejpam-6513	16	13	ahmad.abdelqader@mcbs.edu.om	ahmad.abdelqader@mcbs.edu.om	NOUN
ejpam-6513	16	14	(	(	PUNCT
ejpam-6513	16	15	a.	a.	PROPN
ejpam-6513	16	16	almalkawi	almalkawi	PROPN
ejpam-6513	16	17	)	)	PUNCT
ejpam-6513	16	18	,	,	PUNCT
ejpam-6513	16	19	rrr.ra2020r@gmail.com	rrr.ra2020r@gmail.com	X
ejpam-6513	16	20	(	(	PUNCT
ejpam-6513	16	21	r.	r.	PROPN
ejpam-6513	16	22	alrababah	alrababah	PROPN
ejpam-6513	16	23	)	)	PUNCT
ejpam-6513	16	24	,	,	PUNCT
ejpam-6513	16	25	aamourah@su.edu.om	aamourah@su.edu.om	NOUN
ejpam-6513	16	26	(	(	PUNCT
ejpam-6513	16	27	a.	a.	NOUN
ejpam-6513	16	28	amourah	amourah	PROPN
ejpam-6513	16	29	)	)	PUNCT
ejpam-6513	16	30	,	,	PUNCT
ejpam-6513	16	31	abdullah.alsoboh@asu.edu.om	abdullah.alsoboh@asu.edu.om	NOUN
ejpam-6513	16	32	(	(	PUNCT
ejpam-6513	16	33	a.	a.	NOUN
ejpam-6513	16	34	alsoboh	alsoboh	PROPN
ejpam-6513	16	35	)	)	PUNCT
ejpam-6513	16	36	,	,	PUNCT
ejpam-6513	16	37	khaled.almashrafi@asu.edu.om	khaled.almashrafi@asu.edu.om	PROPN
ejpam-6513	16	38	(	(	PUNCT
ejpam-6513	16	39	k.	k.	PROPN
ejpam-6513	16	40	al	al	PROPN
ejpam-6513	16	41	mashrafi	mashrafi	PROPN
ejpam-6513	16	42	)	)	PUNCT
ejpam-6513	16	43	,	,	PUNCT
ejpam-6513	16	44	t	t	NOUN
ejpam-6513	16	45	sasa@asu.edu.jo	sasa@asu.edu.jo	NOUN
ejpam-6513	16	46	(	(	PUNCT
ejpam-6513	16	47	t.	t.	PROPN
ejpam-6513	16	48	sasa	sasa	PROPN
ejpam-6513	16	49	)	)	PUNCT
ejpam-6513	16	50	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6513	17	1	1	1	NUM
ejpam-6513	17	2	copyright	copyright	NOUN
ejpam-6513	17	3	:	:	PUNCT
ejpam-6513	17	4	©	©	PROPN
ejpam-6513	17	5	2025	2025	NUM
ejpam-6513	17	6	the	the	DET
ejpam-6513	17	7	author(s	author(s	NOUN
ejpam-6513	17	8	)	)	PUNCT
ejpam-6513	17	9	.	.	PUNCT
ejpam-6513	18	1	(	(	PUNCT
ejpam-6513	18	2	cc	cc	NOUN
ejpam-6513	18	3	by	by	ADP
ejpam-6513	18	4	-	-	PUNCT
ejpam-6513	18	5	nc	nc	PROPN
ejpam-6513	18	6	4.0	4.0	NUM
ejpam-6513	18	7	)	)	PUNCT
ejpam-6513	18	8	j.	j.	PROPN
ejpam-6513	18	9	oudetallah	oudetallah	PROPN
ejpam-6513	18	10	et	et	PROPN
ejpam-6513	18	11	al	al	PROPN
ejpam-6513	18	12	.	.	PUNCT
ejpam-6513	18	13	/	/	SYM
ejpam-6513	18	14	eur	eur	PROPN
ejpam-6513	18	15	.	.	PUNCT
ejpam-6513	19	1	j.	j.	PROPN
ejpam-6513	19	2	pure	pure	PROPN
ejpam-6513	19	3	appl	appl	PROPN
ejpam-6513	19	4	.	.	PROPN
ejpam-6513	19	5	math	math	PROPN
ejpam-6513	19	6	,	,	PUNCT
ejpam-6513	19	7	18	18	NUM
ejpam-6513	19	8	(	(	PUNCT
ejpam-6513	19	9	3	3	NUM
ejpam-6513	19	10	)	)	PUNCT
ejpam-6513	19	11	(	(	PUNCT
ejpam-6513	19	12	2025	2025	NUM
ejpam-6513	19	13	)	)	PUNCT
ejpam-6513	19	14	,	,	PUNCT
ejpam-6513	19	15	6513	6513	NUM
ejpam-6513	19	16	2	2	NUM
ejpam-6513	19	17	of	of	ADP
ejpam-6513	19	18	14	14	NUM
ejpam-6513	19	19	•	•	NOUN
ejpam-6513	19	20	s	s	NOUN
ejpam-6513	19	21	denotes	denote	NOUN
ejpam-6513	19	22	a	a	DET
ejpam-6513	19	23	universe	universe	NOUN
ejpam-6513	19	24	set	set	VERB
ejpam-6513	19	25	•	•	NOUN
ejpam-6513	19	26	a	a	DET
ejpam-6513	19	27	denotes	denote	NOUN
ejpam-6513	19	28	a	a	DET
ejpam-6513	19	29	set	set	NOUN
ejpam-6513	19	30	of	of	ADP
ejpam-6513	19	31	parameters	parameter	NOUN
ejpam-6513	19	32	•	•	ADP
ejpam-6513	19	33	p	p	X
ejpam-6513	19	34	(	(	PUNCT
ejpam-6513	19	35	s	s	NOUN
ejpam-6513	19	36	)	)	PUNCT
ejpam-6513	19	37	denotes	denote	VERB
ejpam-6513	19	38	the	the	DET
ejpam-6513	19	39	power	power	NOUN
ejpam-6513	19	40	set	set	NOUN
ejpam-6513	19	41	of	of	ADP
ejpam-6513	19	42	s	s	PRON
ejpam-6513	19	43	•	•	NOUN
ejpam-6513	19	44	(	(	PUNCT
ejpam-6513	19	45	t	t	PROPN
ejpam-6513	19	46	,	,	PUNCT
ejpam-6513	19	47	e	e	NOUN
ejpam-6513	19	48	)	)	PUNCT
ejpam-6513	19	49	denotes	denote	VERB
ejpam-6513	19	50	a	a	DET
ejpam-6513	19	51	soft	soft	ADJ
ejpam-6513	19	52	set	set	NOUN
ejpam-6513	19	53	where	where	SCONJ
ejpam-6513	19	54	t	t	NOUN
ejpam-6513	19	55	:	:	PUNCT
ejpam-6513	19	56	e	e	X
ejpam-6513	19	57	→	→	SYM
ejpam-6513	19	58	p	p	X
ejpam-6513	19	59	(	(	PUNCT
ejpam-6513	19	60	s	s	NOUN
ejpam-6513	19	61	)	)	PUNCT
ejpam-6513	19	62	and	and	CCONJ
ejpam-6513	19	63	e	e	ADP
ejpam-6513	19	64	⊆	⊆	NUM
ejpam-6513	19	65	a	a	DET
ejpam-6513	19	66	•	•	NOUN
ejpam-6513	19	67	(	(	PUNCT
ejpam-6513	19	68	s	s	X
ejpam-6513	19	69	,	,	PUNCT
ejpam-6513	19	70	υ	υ	NOUN
ejpam-6513	19	71	,	,	PUNCT
ejpam-6513	19	72	a	a	PRON
ejpam-6513	19	73	)	)	PUNCT
ejpam-6513	19	74	denotes	denote	VERB
ejpam-6513	19	75	a	a	DET
ejpam-6513	19	76	soft	soft	ADJ
ejpam-6513	19	77	topological	topological	ADJ
ejpam-6513	19	78	space	space	NOUN
ejpam-6513	19	79	•	•	ADP
ejpam-6513	19	80	(	(	PUNCT
ejpam-6513	19	81	u	u	NOUN
ejpam-6513	19	82	,	,	PUNCT
ejpam-6513	19	83	a	a	PRON
ejpam-6513	19	84	)	)	PUNCT
ejpam-6513	19	85	denotes	denote	VERB
ejpam-6513	19	86	a	a	DET
ejpam-6513	19	87	soft	soft	ADJ
ejpam-6513	19	88	open	open	ADJ
ejpam-6513	19	89	set	set	NOUN
ejpam-6513	19	90	when	when	SCONJ
ejpam-6513	19	91	clear	clear	ADJ
ejpam-6513	19	92	from	from	ADP
ejpam-6513	19	93	context	context	NOUN
ejpam-6513	19	94	•	•	PROPN
ejpam-6513	19	95	ϕ	ϕ	PROPN
ejpam-6513	19	96	denotes	denote	VERB
ejpam-6513	19	97	the	the	DET
ejpam-6513	19	98	null	null	ADJ
ejpam-6513	19	99	soft	soft	ADJ
ejpam-6513	19	100	set	set	NOUN
ejpam-6513	19	101	1	1	NUM
ejpam-6513	19	102	.	.	PUNCT
ejpam-6513	20	1	introduction	introduction	NOUN
ejpam-6513	20	2	the	the	DET
ejpam-6513	20	3	theory	theory	NOUN
ejpam-6513	20	4	of	of	ADP
ejpam-6513	20	5	soft	soft	ADJ
ejpam-6513	20	6	sets	set	NOUN
ejpam-6513	20	7	,	,	PUNCT
ejpam-6513	20	8	introduced	introduce	VERB
ejpam-6513	20	9	by	by	ADP
ejpam-6513	20	10	molodtsov	molodtsov	NOUN
ejpam-6513	21	1	[	[	X
ejpam-6513	21	2	1	1	X
ejpam-6513	21	3	]	]	PUNCT
ejpam-6513	21	4	in	in	ADP
ejpam-6513	21	5	1999	1999	NUM
ejpam-6513	21	6	,	,	PUNCT
ejpam-6513	21	7	has	have	AUX
ejpam-6513	21	8	emerged	emerge	VERB
ejpam-6513	21	9	as	as	ADP
ejpam-6513	21	10	a	a	DET
ejpam-6513	21	11	powerful	powerful	ADJ
ejpam-6513	21	12	mathematical	mathematical	ADJ
ejpam-6513	21	13	tool	tool	NOUN
ejpam-6513	21	14	for	for	ADP
ejpam-6513	21	15	handling	handle	VERB
ejpam-6513	21	16	uncertainty	uncertainty	NOUN
ejpam-6513	21	17	and	and	CCONJ
ejpam-6513	21	18	vagueness	vagueness	NOUN
ejpam-6513	21	19	in	in	ADP
ejpam-6513	21	20	various	various	ADJ
ejpam-6513	21	21	fields	field	NOUN
ejpam-6513	21	22	including	include	VERB
ejpam-6513	21	23	engineering	engineering	NOUN
ejpam-6513	21	24	,	,	PUNCT
ejpam-6513	21	25	medicine	medicine	NOUN
ejpam-6513	21	26	,	,	PUNCT
ejpam-6513	21	27	economics	economic	NOUN
ejpam-6513	21	28	,	,	PUNCT
ejpam-6513	21	29	and	and	CCONJ
ejpam-6513	21	30	environmental	environmental	ADJ
ejpam-6513	21	31	sciences	science	NOUN
ejpam-6513	21	32	.	.	PUNCT
ejpam-6513	22	1	unlike	unlike	ADP
ejpam-6513	22	2	traditional	traditional	ADJ
ejpam-6513	22	3	approaches	approach	NOUN
ejpam-6513	22	4	such	such	ADJ
ejpam-6513	22	5	as	as	ADP
ejpam-6513	22	6	probability	probability	NOUN
ejpam-6513	22	7	theory	theory	NOUN
ejpam-6513	22	8	,	,	PUNCT
ejpam-6513	22	9	fuzzy	fuzzy	ADJ
ejpam-6513	22	10	sets	set	NOUN
ejpam-6513	22	11	,	,	PUNCT
ejpam-6513	22	12	and	and	CCONJ
ejpam-6513	22	13	rough	rough	ADJ
ejpam-6513	22	14	sets	set	NOUN
ejpam-6513	22	15	,	,	PUNCT
ejpam-6513	22	16	soft	soft	ADJ
ejpam-6513	22	17	set	set	NOUN
ejpam-6513	22	18	theory	theory	NOUN
ejpam-6513	22	19	provides	provide	VERB
ejpam-6513	22	20	a	a	DET
ejpam-6513	22	21	parameterized	parameterized	ADJ
ejpam-6513	22	22	family	family	NOUN
ejpam-6513	22	23	of	of	ADP
ejpam-6513	22	24	subsets	subset	NOUN
ejpam-6513	22	25	of	of	ADP
ejpam-6513	22	26	the	the	DET
ejpam-6513	22	27	universe	universe	NOUN
ejpam-6513	22	28	,	,	PUNCT
ejpam-6513	22	29	offering	offer	VERB
ejpam-6513	22	30	greater	great	ADJ
ejpam-6513	22	31	flexibility	flexibility	NOUN
ejpam-6513	22	32	in	in	ADP
ejpam-6513	22	33	dealing	deal	VERB
ejpam-6513	22	34	with	with	ADP
ejpam-6513	22	35	uncertainty	uncertainty	NOUN
ejpam-6513	22	36	.	.	PUNCT
ejpam-6513	23	1	following	follow	VERB
ejpam-6513	23	2	molodtsov	molodtsov	PROPN
ejpam-6513	23	3	’s	’s	PART
ejpam-6513	23	4	pioneering	pioneer	VERB
ejpam-6513	23	5	work	work	NOUN
ejpam-6513	23	6	,	,	PUNCT
ejpam-6513	23	7	numerous	numerous	ADJ
ejpam-6513	23	8	researchers	researcher	NOUN
ejpam-6513	23	9	have	have	AUX
ejpam-6513	23	10	contributed	contribute	VERB
ejpam-6513	23	11	to	to	ADP
ejpam-6513	23	12	the	the	DET
ejpam-6513	23	13	development	development	NOUN
ejpam-6513	23	14	and	and	CCONJ
ejpam-6513	23	15	application	application	NOUN
ejpam-6513	23	16	of	of	ADP
ejpam-6513	23	17	soft	soft	ADJ
ejpam-6513	23	18	set	set	NOUN
ejpam-6513	23	19	theory	theory	NOUN
ejpam-6513	23	20	.	.	PUNCT
ejpam-6513	24	1	maji	maji	PROPN
ejpam-6513	24	2	et	et	PROPN
ejpam-6513	24	3	al	al	PROPN
ejpam-6513	24	4	.	.	PUNCT
ejpam-6513	25	1	[	[	X
ejpam-6513	25	2	2	2	X
ejpam-6513	25	3	]	]	PUNCT
ejpam-6513	25	4	introduced	introduce	VERB
ejpam-6513	25	5	basic	basic	ADJ
ejpam-6513	25	6	operations	operation	NOUN
ejpam-6513	25	7	on	on	ADP
ejpam-6513	25	8	soft	soft	ADJ
ejpam-6513	25	9	sets	set	NOUN
ejpam-6513	25	10	,	,	PUNCT
ejpam-6513	25	11	while	while	SCONJ
ejpam-6513	25	12	çağman	çağman	NOUN
ejpam-6513	25	13	and	and	CCONJ
ejpam-6513	25	14	enginoğlu	enginoğlu	NOUN
ejpam-6513	26	1	[	[	X
ejpam-6513	26	2	3	3	NUM
ejpam-6513	26	3	,	,	PUNCT
ejpam-6513	26	4	4	4	NUM
ejpam-6513	26	5	]	]	PUNCT
ejpam-6513	26	6	developed	develop	VERB
ejpam-6513	26	7	soft	soft	ADJ
ejpam-6513	26	8	set	set	NOUN
ejpam-6513	26	9	theory	theory	NOUN
ejpam-6513	26	10	for	for	ADP
ejpam-6513	26	11	decisionmaking	decisionmake	VERB
ejpam-6513	26	12	and	and	CCONJ
ejpam-6513	26	13	soft	soft	ADJ
ejpam-6513	26	14	matrix	matrix	NOUN
ejpam-6513	26	15	theory	theory	NOUN
ejpam-6513	26	16	.	.	PUNCT
ejpam-6513	27	1	the	the	DET
ejpam-6513	27	2	algebraic	algebraic	ADJ
ejpam-6513	27	3	structures	structure	NOUN
ejpam-6513	27	4	of	of	ADP
ejpam-6513	27	5	soft	soft	ADJ
ejpam-6513	27	6	sets	set	NOUN
ejpam-6513	27	7	were	be	AUX
ejpam-6513	27	8	studied	study	VERB
ejpam-6513	27	9	by	by	ADP
ejpam-6513	27	10	aktaş	aktaş	PROPN
ejpam-6513	27	11	and	and	CCONJ
ejpam-6513	27	12	çağman	çağman	NOUN
ejpam-6513	28	1	[	[	X
ejpam-6513	28	2	5	5	NUM
ejpam-6513	28	3	]	]	PUNCT
ejpam-6513	28	4	,	,	PUNCT
ejpam-6513	28	5	leading	lead	VERB
ejpam-6513	28	6	to	to	ADP
ejpam-6513	28	7	various	various	ADJ
ejpam-6513	28	8	applications	application	NOUN
ejpam-6513	28	9	in	in	ADP
ejpam-6513	28	10	different	different	ADJ
ejpam-6513	28	11	mathematical	mathematical	ADJ
ejpam-6513	28	12	structures	structure	NOUN
ejpam-6513	28	13	.	.	PUNCT
ejpam-6513	29	1	abbas	abbas	PROPN
ejpam-6513	29	2	et	et	PROPN
ejpam-6513	29	3	al	al	PROPN
ejpam-6513	29	4	.	.	PUNCT
ejpam-6513	30	1	[	[	X
ejpam-6513	30	2	6	6	NUM
ejpam-6513	30	3	]	]	PUNCT
ejpam-6513	30	4	further	further	ADJ
ejpam-6513	30	5	generalized	generalize	VERB
ejpam-6513	30	6	operations	operation	NOUN
ejpam-6513	30	7	in	in	ADP
ejpam-6513	30	8	soft	soft	ADJ
ejpam-6513	30	9	set	set	NOUN
ejpam-6513	30	10	theory	theory	NOUN
ejpam-6513	30	11	via	via	ADP
ejpam-6513	30	12	relaxed	relaxed	ADJ
ejpam-6513	30	13	conditions	condition	NOUN
ejpam-6513	30	14	on	on	ADP
ejpam-6513	30	15	parameters	parameter	NOUN
ejpam-6513	30	16	.	.	PUNCT
ejpam-6513	31	1	recent	recent	ADJ
ejpam-6513	31	2	developments	development	NOUN
ejpam-6513	31	3	in	in	ADP
ejpam-6513	31	4	soft	soft	ADJ
ejpam-6513	31	5	set	set	NOUN
ejpam-6513	31	6	applications	application	NOUN
ejpam-6513	31	7	include	include	VERB
ejpam-6513	31	8	the	the	DET
ejpam-6513	31	9	work	work	NOUN
ejpam-6513	31	10	of	of	ADP
ejpam-6513	31	11	al	al	PROPN
ejpam-6513	31	12	-	-	PUNCT
ejpam-6513	31	13	sharqi	sharqi	PROPN
ejpam-6513	31	14	et	et	PROPN
ejpam-6513	31	15	al	al	PROPN
ejpam-6513	31	16	.	.	PUNCT
ejpam-6513	32	1	[	[	X
ejpam-6513	32	2	7	7	X
ejpam-6513	32	3	]	]	PUNCT
ejpam-6513	32	4	on	on	ADP
ejpam-6513	32	5	interval	interval	NOUN
ejpam-6513	32	6	complex	complex	ADJ
ejpam-6513	32	7	neutrosophic	neutrosophic	ADJ
ejpam-6513	32	8	soft	soft	ADJ
ejpam-6513	32	9	sets	set	NOUN
ejpam-6513	32	10	,	,	PUNCT
ejpam-6513	32	11	gulistan	gulistan	PROPN
ejpam-6513	32	12	et	et	PROPN
ejpam-6513	32	13	al	al	PROPN
ejpam-6513	32	14	.	.	PUNCT
ejpam-6513	33	1	[	[	X
ejpam-6513	33	2	8	8	NUM
ejpam-6513	33	3	]	]	PUNCT
ejpam-6513	33	4	on	on	ADP
ejpam-6513	33	5	neutrosophic	neutrosophic	ADJ
ejpam-6513	33	6	cubic	cubic	ADJ
ejpam-6513	33	7	soft	soft	ADJ
ejpam-6513	33	8	matrices	matrix	NOUN
ejpam-6513	33	9	for	for	ADP
ejpam-6513	33	10	decision	decision	NOUN
ejpam-6513	33	11	making	making	NOUN
ejpam-6513	33	12	,	,	PUNCT
ejpam-6513	33	13	khan	khan	PROPN
ejpam-6513	33	14	and	and	CCONJ
ejpam-6513	33	15	zhu	zhu	PROPN
ejpam-6513	34	1	[	[	X
ejpam-6513	34	2	9	9	NUM
ejpam-6513	34	3	]	]	PUNCT
ejpam-6513	34	4	on	on	ADP
ejpam-6513	34	5	parameter	parameter	NOUN
ejpam-6513	34	6	reduction	reduction	NOUN
ejpam-6513	34	7	algorithms	algorithm	NOUN
ejpam-6513	34	8	,	,	PUNCT
ejpam-6513	34	9	and	and	CCONJ
ejpam-6513	34	10	muhiuddin	muhiuddin	VERB
ejpam-6513	34	11	et	et	PROPN
ejpam-6513	34	12	al	al	PROPN
ejpam-6513	34	13	.	.	PUNCT
ejpam-6513	35	1	[	[	X
ejpam-6513	35	2	10	10	NUM
ejpam-6513	35	3	]	]	PUNCT
ejpam-6513	35	4	on	on	ADP
ejpam-6513	35	5	generalized	generalized	ADJ
ejpam-6513	35	6	ideals	ideal	NOUN
ejpam-6513	35	7	based	base	VERB
ejpam-6513	35	8	on	on	ADP
ejpam-6513	35	9	fuzzy	fuzzy	ADJ
ejpam-6513	35	10	soft	soft	ADJ
ejpam-6513	35	11	set	set	NOUN
ejpam-6513	35	12	theory	theory	NOUN
ejpam-6513	35	13	.	.	PUNCT
ejpam-6513	36	1	ulucay	ulucay	PROPN
ejpam-6513	37	1	[	[	X
ejpam-6513	37	2	11	11	NUM
ejpam-6513	37	3	]	]	PUNCT
ejpam-6513	37	4	introduced	introduce	VERB
ejpam-6513	37	5	soft	soft	ADJ
ejpam-6513	37	6	representation	representation	NOUN
ejpam-6513	37	7	of	of	ADP
ejpam-6513	37	8	soft	soft	ADJ
ejpam-6513	37	9	groups	group	NOUN
ejpam-6513	37	10	,	,	PUNCT
ejpam-6513	37	11	while	while	SCONJ
ejpam-6513	37	12	practical	practical	ADJ
ejpam-6513	37	13	applications	application	NOUN
ejpam-6513	37	14	were	be	AUX
ejpam-6513	37	15	explored	explore	VERB
ejpam-6513	37	16	by	by	ADP
ejpam-6513	37	17	xiao	xiao	PROPN
ejpam-6513	38	1	[	[	X
ejpam-6513	38	2	12	12	NUM
ejpam-6513	38	3	]	]	PUNCT
ejpam-6513	38	4	in	in	ADP
ejpam-6513	38	5	medical	medical	ADJ
ejpam-6513	38	6	diagnosis	diagnosis	NOUN
ejpam-6513	38	7	using	use	VERB
ejpam-6513	38	8	hybrid	hybrid	ADJ
ejpam-6513	38	9	fuzzy	fuzzy	ADJ
ejpam-6513	38	10	soft	soft	ADJ
ejpam-6513	38	11	sets	set	NOUN
ejpam-6513	38	12	,	,	PUNCT
ejpam-6513	38	13	voskoglou	voskoglou	ADP
ejpam-6513	38	14	[	[	X
ejpam-6513	38	15	13	13	NUM
ejpam-6513	38	16	]	]	PUNCT
ejpam-6513	38	17	in	in	ADP
ejpam-6513	38	18	decision	decision	NOUN
ejpam-6513	38	19	making	make	VERB
ejpam-6513	38	20	with	with	ADP
ejpam-6513	38	21	tfns	tfns	NOUN
ejpam-6513	38	22	and	and	CCONJ
ejpam-6513	38	23	soft	soft	ADJ
ejpam-6513	38	24	sets	set	NOUN
ejpam-6513	38	25	,	,	PUNCT
ejpam-6513	38	26	and	and	CCONJ
ejpam-6513	38	27	zhang	zhang	PROPN
ejpam-6513	38	28	et	et	PROPN
ejpam-6513	38	29	al	al	PROPN
ejpam-6513	38	30	.	.	PUNCT
ejpam-6513	39	1	[	[	X
ejpam-6513	39	2	14	14	NUM
ejpam-6513	39	3	]	]	PUNCT
ejpam-6513	39	4	with	with	ADP
ejpam-6513	39	5	n	n	CCONJ
ejpam-6513	39	6	-	-	PUNCT
ejpam-6513	39	7	soft	soft	ADJ
ejpam-6513	39	8	rough	rough	ADJ
ejpam-6513	39	9	sets	set	NOUN
ejpam-6513	39	10	.	.	PUNCT
ejpam-6513	40	1	the	the	DET
ejpam-6513	40	2	introduction	introduction	NOUN
ejpam-6513	40	3	of	of	ADP
ejpam-6513	40	4	soft	soft	ADJ
ejpam-6513	40	5	topology	topology	NOUN
ejpam-6513	40	6	by	by	ADP
ejpam-6513	40	7	shabir	shabir	PROPN
ejpam-6513	40	8	and	and	CCONJ
ejpam-6513	40	9	naz	naz	PROPN
ejpam-6513	40	10	[	[	X
ejpam-6513	40	11	15	15	NUM
ejpam-6513	40	12	]	]	X
ejpam-6513	40	13	in	in	ADP
ejpam-6513	40	14	2011	2011	NUM
ejpam-6513	40	15	marked	mark	VERB
ejpam-6513	40	16	a	a	DET
ejpam-6513	40	17	significant	significant	ADJ
ejpam-6513	40	18	milestone	milestone	NOUN
ejpam-6513	40	19	in	in	ADP
ejpam-6513	40	20	extending	extend	VERB
ejpam-6513	40	21	topological	topological	ADJ
ejpam-6513	40	22	concepts	concept	NOUN
ejpam-6513	40	23	to	to	ADP
ejpam-6513	40	24	the	the	DET
ejpam-6513	40	25	soft	soft	ADJ
ejpam-6513	40	26	set	set	VERB
ejpam-6513	40	27	framework	framework	NOUN
ejpam-6513	40	28	.	.	PUNCT
ejpam-6513	41	1	this	this	DET
ejpam-6513	41	2	development	development	NOUN
ejpam-6513	41	3	opened	open	VERB
ejpam-6513	41	4	new	new	ADJ
ejpam-6513	41	5	avenues	avenue	NOUN
ejpam-6513	41	6	for	for	ADP
ejpam-6513	41	7	research	research	NOUN
ejpam-6513	41	8	in	in	ADP
ejpam-6513	41	9	generalized	generalized	ADJ
ejpam-6513	41	10	topological	topological	ADJ
ejpam-6513	41	11	spaces	space	NOUN
ejpam-6513	41	12	,	,	PUNCT
ejpam-6513	41	13	building	build	VERB
ejpam-6513	41	14	upon	upon	SCONJ
ejpam-6513	41	15	classical	classical	ADJ
ejpam-6513	41	16	topology	topology	NOUN
ejpam-6513	41	17	foundations	foundation	NOUN
ejpam-6513	41	18	established	establish	VERB
ejpam-6513	41	19	by	by	ADP
ejpam-6513	41	20	willard	willard	NOUN
ejpam-6513	41	21	[	[	X
ejpam-6513	41	22	16	16	NUM
ejpam-6513	41	23	]	]	PUNCT
ejpam-6513	41	24	and	and	CCONJ
ejpam-6513	41	25	engelking	engelke	VERB
ejpam-6513	41	26	[	[	X
ejpam-6513	41	27	17	17	NUM
ejpam-6513	41	28	]	]	X
ejpam-6513	41	29	.	.	PUNCT
ejpam-6513	42	1	subsequently	subsequently	ADV
ejpam-6513	42	2	,	,	PUNCT
ejpam-6513	42	3	various	various	ADJ
ejpam-6513	42	4	topological	topological	ADJ
ejpam-6513	42	5	properties	property	NOUN
ejpam-6513	42	6	have	have	AUX
ejpam-6513	42	7	been	be	AUX
ejpam-6513	42	8	investigated	investigate	VERB
ejpam-6513	42	9	in	in	ADP
ejpam-6513	42	10	the	the	DET
ejpam-6513	42	11	soft	soft	ADJ
ejpam-6513	42	12	setting	setting	NOUN
ejpam-6513	42	13	,	,	PUNCT
ejpam-6513	42	14	including	include	VERB
ejpam-6513	42	15	the	the	DET
ejpam-6513	42	16	work	work	NOUN
ejpam-6513	42	17	of	of	ADP
ejpam-6513	42	18	aygünoğlu	aygünoğlu	NOUN
ejpam-6513	42	19	and	and	CCONJ
ejpam-6513	42	20	aygün	aygün	NOUN
ejpam-6513	42	21	[	[	X
ejpam-6513	42	22	18	18	NUM
ejpam-6513	42	23	]	]	PUNCT
ejpam-6513	42	24	on	on	ADP
ejpam-6513	42	25	notes	note	NOUN
ejpam-6513	42	26	about	about	ADP
ejpam-6513	42	27	soft	soft	ADJ
ejpam-6513	42	28	topological	topological	ADJ
ejpam-6513	42	29	spaces	space	NOUN
ejpam-6513	42	30	and	and	CCONJ
ejpam-6513	42	31	arockiarani	arockiarani	ADJ
ejpam-6513	42	32	and	and	CCONJ
ejpam-6513	42	33	selvi	selvi	PROPN
ejpam-6513	43	1	[	[	X
ejpam-6513	43	2	19	19	NUM
ejpam-6513	43	3	]	]	PUNCT
ejpam-6513	43	4	on	on	ADP
ejpam-6513	43	5	soft	soft	ADJ
ejpam-6513	43	6	slightly	slightly	ADV
ejpam-6513	43	7	πg	πg	ADP
ejpam-6513	43	8	-	-	PUNCT
ejpam-6513	43	9	continuous	continuous	ADJ
ejpam-6513	43	10	functions	function	NOUN
ejpam-6513	43	11	.	.	PUNCT
ejpam-6513	44	1	compactness	compactness	NOUN
ejpam-6513	44	2	,	,	PUNCT
ejpam-6513	44	3	being	be	AUX
ejpam-6513	44	4	one	one	NUM
ejpam-6513	44	5	of	of	ADP
ejpam-6513	44	6	the	the	DET
ejpam-6513	44	7	most	most	ADV
ejpam-6513	44	8	fundamental	fundamental	ADJ
ejpam-6513	44	9	concepts	concept	NOUN
ejpam-6513	44	10	in	in	ADP
ejpam-6513	44	11	topology	topology	NOUN
ejpam-6513	44	12	,	,	PUNCT
ejpam-6513	44	13	has	have	AUX
ejpam-6513	44	14	naturally	naturally	ADV
ejpam-6513	44	15	attracted	attract	VERB
ejpam-6513	44	16	attention	attention	NOUN
ejpam-6513	44	17	in	in	ADP
ejpam-6513	44	18	soft	soft	ADJ
ejpam-6513	44	19	topology	topology	NOUN
ejpam-6513	44	20	.	.	PUNCT
ejpam-6513	45	1	the	the	DET
ejpam-6513	45	2	notion	notion	NOUN
ejpam-6513	45	3	of	of	ADP
ejpam-6513	45	4	soft	soft	ADJ
ejpam-6513	45	5	compactness	compactness	NOUN
ejpam-6513	45	6	was	be	AUX
ejpam-6513	45	7	introduced	introduce	VERB
ejpam-6513	45	8	and	and	CCONJ
ejpam-6513	45	9	j.	j.	PROPN
ejpam-6513	45	10	oudetallah	oudetallah	PROPN
ejpam-6513	45	11	et	et	PROPN
ejpam-6513	45	12	al	al	PROPN
ejpam-6513	45	13	.	.	PUNCT
ejpam-6513	45	14	/	/	SYM
ejpam-6513	45	15	eur	eur	PROPN
ejpam-6513	45	16	.	.	PUNCT
ejpam-6513	46	1	j.	j.	PROPN
ejpam-6513	46	2	pure	pure	PROPN
ejpam-6513	46	3	appl	appl	PROPN
ejpam-6513	46	4	.	.	PROPN
ejpam-6513	46	5	math	math	PROPN
ejpam-6513	46	6	,	,	PUNCT
ejpam-6513	46	7	18	18	NUM
ejpam-6513	46	8	(	(	PUNCT
ejpam-6513	46	9	3	3	NUM
ejpam-6513	46	10	)	)	PUNCT
ejpam-6513	46	11	(	(	PUNCT
ejpam-6513	46	12	2025	2025	NUM
ejpam-6513	46	13	)	)	PUNCT
ejpam-6513	46	14	,	,	PUNCT
ejpam-6513	46	15	6513	6513	NUM
ejpam-6513	46	16	3	3	NUM
ejpam-6513	46	17	of	of	ADP
ejpam-6513	46	18	14	14	NUM
ejpam-6513	46	19	studied	study	VERB
ejpam-6513	46	20	in	in	ADP
ejpam-6513	46	21	the	the	DET
ejpam-6513	46	22	context	context	NOUN
ejpam-6513	46	23	of	of	ADP
ejpam-6513	46	24	soft	soft	ADJ
ejpam-6513	46	25	topological	topological	ADJ
ejpam-6513	46	26	spaces	space	NOUN
ejpam-6513	46	27	as	as	ADP
ejpam-6513	46	28	an	an	DET
ejpam-6513	46	29	extension	extension	NOUN
ejpam-6513	46	30	of	of	ADP
ejpam-6513	46	31	classical	classical	ADJ
ejpam-6513	46	32	compactness	compactness	NOUN
ejpam-6513	46	33	.	.	PUNCT
ejpam-6513	47	1	however	however	ADV
ejpam-6513	47	2	,	,	PUNCT
ejpam-6513	47	3	despite	despite	SCONJ
ejpam-6513	47	4	these	these	DET
ejpam-6513	47	5	efforts	effort	NOUN
ejpam-6513	47	6	,	,	PUNCT
ejpam-6513	47	7	the	the	DET
ejpam-6513	47	8	theory	theory	NOUN
ejpam-6513	47	9	of	of	ADP
ejpam-6513	47	10	soft	soft	ADJ
ejpam-6513	47	11	compactness	compactness	NOUN
ejpam-6513	47	12	remains	remain	VERB
ejpam-6513	47	13	relatively	relatively	ADV
ejpam-6513	47	14	underdeveloped	underdeveloped	ADJ
ejpam-6513	47	15	compared	compare	VERB
ejpam-6513	47	16	to	to	ADP
ejpam-6513	47	17	its	its	PRON
ejpam-6513	47	18	classical	classical	ADJ
ejpam-6513	47	19	counterpart	counterpart	NOUN
ejpam-6513	47	20	,	,	PUNCT
ejpam-6513	47	21	particularly	particularly	ADV
ejpam-6513	47	22	regarding	regard	VERB
ejpam-6513	47	23	covering	cover	VERB
ejpam-6513	47	24	properties	property	NOUN
ejpam-6513	47	25	and	and	CCONJ
ejpam-6513	47	26	their	their	PRON
ejpam-6513	47	27	applications	application	NOUN
ejpam-6513	47	28	.	.	PUNCT
ejpam-6513	48	1	the	the	DET
ejpam-6513	48	2	concept	concept	NOUN
ejpam-6513	48	3	of	of	ADP
ejpam-6513	48	4	d	d	NOUN
ejpam-6513	48	5	-	-	PUNCT
ejpam-6513	48	6	sets	set	NOUN
ejpam-6513	48	7	in	in	ADP
ejpam-6513	48	8	classical	classical	ADJ
ejpam-6513	48	9	topology	topology	NOUN
ejpam-6513	48	10	,	,	PUNCT
ejpam-6513	48	11	introduced	introduce	VERB
ejpam-6513	48	12	by	by	ADP
ejpam-6513	48	13	tong	tong	PROPN
ejpam-6513	48	14	[	[	X
ejpam-6513	48	15	20	20	NUM
ejpam-6513	48	16	]	]	PUNCT
ejpam-6513	48	17	,	,	PUNCT
ejpam-6513	48	18	provides	provide	VERB
ejpam-6513	48	19	a	a	DET
ejpam-6513	48	20	generalization	generalization	NOUN
ejpam-6513	48	21	of	of	ADP
ejpam-6513	48	22	open	open	ADJ
ejpam-6513	48	23	sets	set	NOUN
ejpam-6513	48	24	that	that	PRON
ejpam-6513	48	25	has	have	AUX
ejpam-6513	48	26	proven	prove	VERB
ejpam-6513	48	27	useful	useful	ADJ
ejpam-6513	48	28	in	in	ADP
ejpam-6513	48	29	studying	study	VERB
ejpam-6513	48	30	various	various	ADJ
ejpam-6513	48	31	topological	topological	ADJ
ejpam-6513	48	32	properties	property	NOUN
ejpam-6513	48	33	.	.	PUNCT
ejpam-6513	49	1	qoqazeh	qoqazeh	PROPN
ejpam-6513	49	2	et	et	PROPN
ejpam-6513	49	3	al	al	PROPN
ejpam-6513	49	4	.	.	PUNCT
ejpam-6513	50	1	[	[	X
ejpam-6513	50	2	21	21	NUM
ejpam-6513	50	3	]	]	PUNCT
ejpam-6513	50	4	investigated	investigate	VERB
ejpam-6513	50	5	d	d	ADJ
ejpam-6513	50	6	-	-	ADJ
ejpam-6513	50	7	compact	compact	ADJ
ejpam-6513	50	8	topological	topological	ADJ
ejpam-6513	50	9	spaces	space	NOUN
ejpam-6513	50	10	,	,	PUNCT
ejpam-6513	50	11	while	while	SCONJ
ejpam-6513	50	12	mustafa	mustafa	PROPN
ejpam-6513	50	13	and	and	CCONJ
ejpam-6513	50	14	qoqazeh	qoqazeh	NOUN
ejpam-6513	51	1	[	[	X
ejpam-6513	51	2	22	22	NUM
ejpam-6513	51	3	]	]	PUNCT
ejpam-6513	51	4	studied	study	VERB
ejpam-6513	51	5	supra	supra	ADJ
ejpam-6513	51	6	d	d	NOUN
ejpam-6513	51	7	-	-	PUNCT
ejpam-6513	51	8	sets	set	NOUN
ejpam-6513	51	9	and	and	CCONJ
ejpam-6513	51	10	associated	associated	ADJ
ejpam-6513	51	11	separation	separation	NOUN
ejpam-6513	51	12	axioms	axiom	VERB
ejpam-6513	51	13	.	.	PUNCT
ejpam-6513	52	1	the	the	DET
ejpam-6513	52	2	soft	soft	ADJ
ejpam-6513	52	3	version	version	NOUN
ejpam-6513	52	4	of	of	ADP
ejpam-6513	52	5	d	d	NOUN
ejpam-6513	52	6	-	-	PUNCT
ejpam-6513	52	7	sets	set	NOUN
ejpam-6513	52	8	was	be	AUX
ejpam-6513	52	9	introduced	introduce	VERB
ejpam-6513	52	10	by	by	ADP
ejpam-6513	52	11	mahmood	mahmood	PROPN
ejpam-6513	53	1	[	[	X
ejpam-6513	53	2	23	23	NUM
ejpam-6513	53	3	]	]	PUNCT
ejpam-6513	53	4	,	,	PUNCT
ejpam-6513	53	5	leading	lead	VERB
ejpam-6513	53	6	to	to	ADP
ejpam-6513	53	7	new	new	ADJ
ejpam-6513	53	8	perspectives	perspective	NOUN
ejpam-6513	53	9	on	on	ADP
ejpam-6513	53	10	soft	soft	ADJ
ejpam-6513	53	11	topological	topological	ADJ
ejpam-6513	53	12	structures	structure	NOUN
ejpam-6513	53	13	and	and	CCONJ
ejpam-6513	53	14	weak	weak	ADJ
ejpam-6513	53	15	soft	soft	ADJ
ejpam-6513	53	16	dñ-sets	dñ-set	NOUN
ejpam-6513	53	17	.	.	PUNCT
ejpam-6513	54	1	oudetallah	oudetallah	PROPN
ejpam-6513	54	2	et	et	PROPN
ejpam-6513	54	3	al	al	PROPN
ejpam-6513	54	4	.	.	PROPN
ejpam-6513	54	5	have	have	AUX
ejpam-6513	54	6	made	make	VERB
ejpam-6513	54	7	significant	significant	ADJ
ejpam-6513	54	8	contributions	contribution	NOUN
ejpam-6513	54	9	to	to	ADP
ejpam-6513	54	10	the	the	DET
ejpam-6513	54	11	theory	theory	NOUN
ejpam-6513	54	12	of	of	ADP
ejpam-6513	54	13	d	d	NOUN
ejpam-6513	54	14	-	-	PUNCT
ejpam-6513	54	15	sets	set	NOUN
ejpam-6513	54	16	and	and	CCONJ
ejpam-6513	54	17	related	related	ADJ
ejpam-6513	54	18	concepts	concept	NOUN
ejpam-6513	54	19	.	.	PUNCT
ejpam-6513	55	1	oudetallah	oudetallah	PROPN
ejpam-6513	55	2	et	et	PROPN
ejpam-6513	55	3	al	al	PROPN
ejpam-6513	55	4	.	.	PUNCT
ejpam-6513	56	1	[	[	X
ejpam-6513	56	2	24	24	NUM
ejpam-6513	56	3	]	]	PUNCT
ejpam-6513	56	4	investigated	investigate	VERB
ejpam-6513	56	5	d	d	NOUN
ejpam-6513	56	6	-	-	NOUN
ejpam-6513	56	7	metacompactness	metacompactness	NOUN
ejpam-6513	56	8	in	in	ADP
ejpam-6513	56	9	topological	topological	ADJ
ejpam-6513	56	10	spaces	space	NOUN
ejpam-6513	56	11	,	,	PUNCT
ejpam-6513	56	12	establishing	establish	VERB
ejpam-6513	56	13	fundamental	fundamental	ADJ
ejpam-6513	56	14	properties	property	NOUN
ejpam-6513	56	15	and	and	CCONJ
ejpam-6513	56	16	relationships	relationship	NOUN
ejpam-6513	56	17	with	with	ADP
ejpam-6513	56	18	other	other	ADJ
ejpam-6513	56	19	covering	covering	NOUN
ejpam-6513	56	20	properties	property	NOUN
ejpam-6513	56	21	.	.	PUNCT
ejpam-6513	57	1	this	this	DET
ejpam-6513	57	2	work	work	NOUN
ejpam-6513	57	3	was	be	AUX
ejpam-6513	57	4	extended	extend	VERB
ejpam-6513	57	5	to	to	ADP
ejpam-6513	57	6	r	r	NOUN
ejpam-6513	57	7	-	-	PUNCT
ejpam-6513	57	8	compactness	compactness	NOUN
ejpam-6513	57	9	in	in	ADP
ejpam-6513	57	10	both	both	CCONJ
ejpam-6513	57	11	topological	topological	ADJ
ejpam-6513	57	12	and	and	CCONJ
ejpam-6513	57	13	bitopological	bitopological	ADJ
ejpam-6513	57	14	spaces	space	NOUN
ejpam-6513	57	15	[	[	X
ejpam-6513	57	16	25	25	NUM
ejpam-6513	57	17	]	]	PUNCT
ejpam-6513	57	18	,	,	PUNCT
ejpam-6513	57	19	providing	provide	VERB
ejpam-6513	57	20	new	new	ADJ
ejpam-6513	57	21	insights	insight	NOUN
ejpam-6513	57	22	into	into	ADP
ejpam-6513	57	23	generalized	generalized	ADJ
ejpam-6513	57	24	compactness	compactness	NOUN
ejpam-6513	57	25	conditions	condition	NOUN
ejpam-6513	57	26	.	.	PUNCT
ejpam-6513	58	1	further	further	ADJ
ejpam-6513	58	2	investigations	investigation	NOUN
ejpam-6513	58	3	by	by	ADP
ejpam-6513	58	4	oudetallah	oudetallah	PROPN
ejpam-6513	59	1	[	[	X
ejpam-6513	59	2	26	26	NUM
ejpam-6513	59	3	]	]	PUNCT
ejpam-6513	59	4	on	on	ADP
ejpam-6513	59	5	nearly	nearly	ADV
ejpam-6513	59	6	metacompact	metacompact	ADJ
ejpam-6513	59	7	spaces	space	NOUN
ejpam-6513	59	8	in	in	ADP
ejpam-6513	59	9	bitopological	bitopological	ADJ
ejpam-6513	59	10	settings	setting	NOUN
ejpam-6513	59	11	,	,	PUNCT
ejpam-6513	59	12	and	and	CCONJ
ejpam-6513	59	13	oudetallah	oudetallah	PROPN
ejpam-6513	59	14	and	and	CCONJ
ejpam-6513	59	15	al	al	PROPN
ejpam-6513	59	16	-	-	PUNCT
ejpam-6513	59	17	hawari	hawari	PROPN
ejpam-6513	60	1	[	[	X
ejpam-6513	60	2	27	27	NUM
ejpam-6513	60	3	]	]	PUNCT
ejpam-6513	60	4	on	on	ADP
ejpam-6513	60	5	other	other	ADJ
ejpam-6513	60	6	generalizations	generalization	NOUN
ejpam-6513	60	7	of	of	ADP
ejpam-6513	60	8	pairwise	pairwise	NOUN
ejpam-6513	60	9	expandable	expandable	ADJ
ejpam-6513	60	10	spaces	space	NOUN
ejpam-6513	60	11	,	,	PUNCT
ejpam-6513	60	12	have	have	AUX
ejpam-6513	60	13	enriched	enrich	VERB
ejpam-6513	60	14	the	the	DET
ejpam-6513	60	15	theory	theory	NOUN
ejpam-6513	60	16	of	of	ADP
ejpam-6513	60	17	covering	cover	VERB
ejpam-6513	60	18	properties	property	NOUN
ejpam-6513	60	19	in	in	ADP
ejpam-6513	60	20	generalized	generalized	ADJ
ejpam-6513	60	21	topological	topological	ADJ
ejpam-6513	60	22	spaces	space	NOUN
ejpam-6513	60	23	.	.	PUNCT
ejpam-6513	61	1	recent	recent	ADJ
ejpam-6513	61	2	advances	advance	NOUN
ejpam-6513	61	3	(	(	PUNCT
ejpam-6513	61	4	2023	2023	NUM
ejpam-6513	61	5	-	-	SYM
ejpam-6513	61	6	2025	2025	NUM
ejpam-6513	61	7	)	)	PUNCT
ejpam-6513	61	8	in	in	ADP
ejpam-6513	61	9	soft	soft	ADJ
ejpam-6513	61	10	topological	topological	ADJ
ejpam-6513	61	11	spaces	space	NOUN
ejpam-6513	61	12	have	have	AUX
ejpam-6513	61	13	focused	focus	VERB
ejpam-6513	61	14	on	on	ADP
ejpam-6513	61	15	refining	refine	VERB
ejpam-6513	61	16	compactness	compactness	NOUN
ejpam-6513	61	17	conditions	condition	NOUN
ejpam-6513	61	18	and	and	CCONJ
ejpam-6513	61	19	exploring	explore	VERB
ejpam-6513	61	20	new	new	ADJ
ejpam-6513	61	21	types	type	NOUN
ejpam-6513	61	22	of	of	ADP
ejpam-6513	61	23	coverings	covering	NOUN
ejpam-6513	61	24	.	.	PUNCT
ejpam-6513	62	1	notable	notable	ADJ
ejpam-6513	62	2	contributions	contribution	NOUN
ejpam-6513	62	3	include	include	VERB
ejpam-6513	62	4	the	the	DET
ejpam-6513	62	5	work	work	NOUN
ejpam-6513	62	6	of	of	ADP
ejpam-6513	62	7	al	al	PROPN
ejpam-6513	62	8	-	-	PUNCT
ejpam-6513	62	9	shami	shami	PROPN
ejpam-6513	62	10	et	et	PROPN
ejpam-6513	62	11	al	al	PROPN
ejpam-6513	62	12	.	.	PUNCT
ejpam-6513	63	1	[	[	X
ejpam-6513	63	2	28	28	NUM
ejpam-6513	63	3	]	]	PUNCT
ejpam-6513	63	4	on	on	ADP
ejpam-6513	63	5	compactness	compactness	NOUN
ejpam-6513	63	6	and	and	CCONJ
ejpam-6513	63	7	connectedness	connectedness	NOUN
ejpam-6513	63	8	via	via	ADP
ejpam-6513	63	9	soft	soft	ADJ
ejpam-6513	63	10	somewhat	somewhat	ADV
ejpam-6513	63	11	open	open	ADJ
ejpam-6513	63	12	sets	set	NOUN
ejpam-6513	63	13	,	,	PUNCT
ejpam-6513	63	14	mhemdi	mhemdi	PROPN
ejpam-6513	63	15	[	[	X
ejpam-6513	63	16	29	29	NUM
ejpam-6513	63	17	]	]	PUNCT
ejpam-6513	63	18	on	on	ADP
ejpam-6513	63	19	novel	novel	ADJ
ejpam-6513	63	20	types	type	NOUN
ejpam-6513	63	21	of	of	ADP
ejpam-6513	63	22	soft	soft	ADJ
ejpam-6513	63	23	compact	compact	ADJ
ejpam-6513	63	24	and	and	CCONJ
ejpam-6513	63	25	connected	connected	ADJ
ejpam-6513	63	26	spaces	space	NOUN
ejpam-6513	63	27	inspired	inspire	VERB
ejpam-6513	63	28	by	by	ADP
ejpam-6513	63	29	soft	soft	ADJ
ejpam-6513	63	30	q	q	NOUN
ejpam-6513	63	31	-	-	PUNCT
ejpam-6513	63	32	sets	set	NOUN
ejpam-6513	63	33	,	,	PUNCT
ejpam-6513	63	34	and	and	CCONJ
ejpam-6513	63	35	alqahtani	alqahtani	ADJ
ejpam-6513	63	36	and	and	CCONJ
ejpam-6513	63	37	ameen	ameen	NOUN
ejpam-6513	64	1	[	[	X
ejpam-6513	64	2	30	30	NUM
ejpam-6513	64	3	]	]	PUNCT
ejpam-6513	64	4	on	on	ADP
ejpam-6513	64	5	soft	soft	ADJ
ejpam-6513	64	6	nodec	nodec	ADJ
ejpam-6513	64	7	spaces	space	NOUN
ejpam-6513	64	8	.	.	PUNCT
ejpam-6513	65	1	these	these	DET
ejpam-6513	65	2	studies	study	NOUN
ejpam-6513	65	3	have	have	AUX
ejpam-6513	65	4	revealed	reveal	VERB
ejpam-6513	65	5	the	the	DET
ejpam-6513	65	6	rich	rich	ADJ
ejpam-6513	65	7	structure	structure	NOUN
ejpam-6513	65	8	of	of	ADP
ejpam-6513	65	9	soft	soft	ADJ
ejpam-6513	65	10	topological	topological	ADJ
ejpam-6513	65	11	spaces	space	NOUN
ejpam-6513	65	12	and	and	CCONJ
ejpam-6513	65	13	motivated	motivate	VERB
ejpam-6513	65	14	further	further	ADJ
ejpam-6513	65	15	investigations	investigation	NOUN
ejpam-6513	65	16	into	into	ADP
ejpam-6513	65	17	specialized	specialized	ADJ
ejpam-6513	65	18	forms	form	NOUN
ejpam-6513	65	19	of	of	ADP
ejpam-6513	65	20	compactness	compactness	NOUN
ejpam-6513	65	21	.	.	PUNCT
ejpam-6513	66	1	more	more	ADJ
ejpam-6513	66	2	recent	recent	ADJ
ejpam-6513	66	3	developments	development	NOUN
ejpam-6513	66	4	include	include	VERB
ejpam-6513	66	5	alghamdi	alghamdi	PROPN
ejpam-6513	66	6	et	et	PROPN
ejpam-6513	66	7	al	al	PROPN
ejpam-6513	66	8	.	.	PUNCT
ejpam-6513	67	1	[	[	X
ejpam-6513	67	2	31	31	NUM
ejpam-6513	67	3	]	]	PUNCT
ejpam-6513	67	4	on	on	ADP
ejpam-6513	67	5	soft	soft	ADJ
ejpam-6513	67	6	submaximal	submaximal	ADJ
ejpam-6513	67	7	and	and	CCONJ
ejpam-6513	67	8	soft	soft	ADJ
ejpam-6513	67	9	door	door	NOUN
ejpam-6513	67	10	spaces	space	NOUN
ejpam-6513	67	11	,	,	PUNCT
ejpam-6513	67	12	saleh	saleh	NOUN
ejpam-6513	67	13	and	and	CCONJ
ejpam-6513	67	14	salih	salih	PROPN
ejpam-6513	68	1	[	[	X
ejpam-6513	68	2	32	32	NUM
ejpam-6513	68	3	]	]	PUNCT
ejpam-6513	68	4	on	on	ADP
ejpam-6513	68	5	c	c	NOUN
ejpam-6513	68	6	-	-	PUNCT
ejpam-6513	68	7	continuity	continuity	NOUN
ejpam-6513	68	8	and	and	CCONJ
ejpam-6513	68	9	c	c	NOUN
ejpam-6513	68	10	-	-	ADJ
ejpam-6513	68	11	compact	compact	ADJ
ejpam-6513	68	12	spaces	space	NOUN
ejpam-6513	68	13	via	via	ADP
ejpam-6513	68	14	soft	soft	ADJ
ejpam-6513	68	15	sets	set	NOUN
ejpam-6513	68	16	,	,	PUNCT
ejpam-6513	68	17	almufarrij	almufarrij	PROPN
ejpam-6513	68	18	and	and	CCONJ
ejpam-6513	68	19	al	al	PROPN
ejpam-6513	68	20	-	-	PROPN
ejpam-6513	68	21	ghour	ghour	PROPN
ejpam-6513	69	1	[	[	X
ejpam-6513	69	2	33	33	NUM
ejpam-6513	69	3	]	]	PUNCT
ejpam-6513	69	4	on	on	ADP
ejpam-6513	69	5	regular	regular	ADJ
ejpam-6513	69	6	-	-	PUNCT
ejpam-6513	69	7	closed	close	VERB
ejpam-6513	69	8	functions	function	NOUN
ejpam-6513	69	9	between	between	ADP
ejpam-6513	69	10	soft	soft	ADJ
ejpam-6513	69	11	topological	topological	ADJ
ejpam-6513	69	12	spaces	space	NOUN
ejpam-6513	69	13	,	,	PUNCT
ejpam-6513	69	14	and	and	CCONJ
ejpam-6513	69	15	alshammari	alshammari	PROPN
ejpam-6513	69	16	et	et	PROPN
ejpam-6513	69	17	al	al	PROPN
ejpam-6513	69	18	.	.	PUNCT
ejpam-6513	70	1	[	[	X
ejpam-6513	70	2	34	34	NUM
ejpam-6513	70	3	]	]	PUNCT
ejpam-6513	70	4	on	on	ADP
ejpam-6513	70	5	r	r	NOUN
ejpam-6513	70	6	-	-	PUNCT
ejpam-6513	70	7	fuzzy	fuzzy	ADJ
ejpam-6513	70	8	soft	soft	ADJ
ejpam-6513	70	9	δ	δ	NOUN
ejpam-6513	70	10	-	-	ADJ
ejpam-6513	70	11	open	open	ADJ
ejpam-6513	70	12	sets	set	NOUN
ejpam-6513	70	13	with	with	ADP
ejpam-6513	70	14	applications	application	NOUN
ejpam-6513	70	15	.	.	PUNCT
ejpam-6513	71	1	these	these	DET
ejpam-6513	71	2	works	work	NOUN
ejpam-6513	71	3	demonstrate	demonstrate	VERB
ejpam-6513	71	4	the	the	DET
ejpam-6513	71	5	continuing	continue	VERB
ejpam-6513	71	6	evolution	evolution	NOUN
ejpam-6513	71	7	and	and	CCONJ
ejpam-6513	71	8	diversification	diversification	NOUN
ejpam-6513	71	9	of	of	ADP
ejpam-6513	71	10	soft	soft	ADJ
ejpam-6513	71	11	topology	topology	NOUN
ejpam-6513	71	12	research	research	NOUN
ejpam-6513	71	13	.	.	PUNCT
ejpam-6513	72	1	beyond	beyond	ADP
ejpam-6513	72	2	topological	topological	ADJ
ejpam-6513	72	3	considerations	consideration	NOUN
ejpam-6513	72	4	,	,	PUNCT
ejpam-6513	72	5	the	the	DET
ejpam-6513	72	6	mathematical	mathematical	ADJ
ejpam-6513	72	7	structures	structure	NOUN
ejpam-6513	72	8	underlying	underlie	VERB
ejpam-6513	72	9	our	our	PRON
ejpam-6513	72	10	work	work	NOUN
ejpam-6513	72	11	have	have	VERB
ejpam-6513	72	12	connections	connection	NOUN
ejpam-6513	72	13	to	to	ADP
ejpam-6513	72	14	geometric	geometric	ADJ
ejpam-6513	72	15	and	and	CCONJ
ejpam-6513	72	16	functional	functional	ADJ
ejpam-6513	72	17	analytic	analytic	ADJ
ejpam-6513	72	18	concepts	concept	NOUN
ejpam-6513	72	19	.	.	PUNCT
ejpam-6513	73	1	oudetallah	oudetallah	PROPN
ejpam-6513	73	2	and	and	CCONJ
ejpam-6513	73	3	abualigah	abualigah	PROPN
ejpam-6513	74	1	[	[	X
ejpam-6513	74	2	35	35	NUM
ejpam-6513	74	3	]	]	PUNCT
ejpam-6513	74	4	investigated	investigate	VERB
ejpam-6513	74	5	h	h	NOUN
ejpam-6513	74	6	-	-	PUNCT
ejpam-6513	74	7	convexity	convexity	NOUN
ejpam-6513	74	8	in	in	ADP
ejpam-6513	74	9	metric	metric	ADJ
ejpam-6513	74	10	linear	linear	ADJ
ejpam-6513	74	11	spaces	space	NOUN
ejpam-6513	74	12	,	,	PUNCT
ejpam-6513	74	13	which	which	PRON
ejpam-6513	74	14	shares	share	VERB
ejpam-6513	74	15	structural	structural	ADJ
ejpam-6513	74	16	similarities	similarity	NOUN
ejpam-6513	74	17	with	with	ADP
ejpam-6513	74	18	compactness	compactness	NOUN
ejpam-6513	74	19	properties	property	NOUN
ejpam-6513	74	20	in	in	ADP
ejpam-6513	74	21	terms	term	NOUN
ejpam-6513	74	22	of	of	ADP
ejpam-6513	74	23	covering	covering	NOUN
ejpam-6513	74	24	and	and	CCONJ
ejpam-6513	74	25	separation	separation	NOUN
ejpam-6513	74	26	conditions	condition	NOUN
ejpam-6513	74	27	.	.	PUNCT
ejpam-6513	75	1	oudetallah	oudetallah	PROPN
ejpam-6513	76	1	[	[	X
ejpam-6513	76	2	36	36	NUM
ejpam-6513	76	3	]	]	PUNCT
ejpam-6513	76	4	recently	recently	ADV
ejpam-6513	76	5	studied	study	VERB
ejpam-6513	76	6	novel	novel	ADJ
ejpam-6513	76	7	results	result	NOUN
ejpam-6513	76	8	on	on	ADP
ejpam-6513	76	9	near	near	ADP
ejpam-6513	76	10	lindelöfness	lindelöfness	NOUN
ejpam-6513	76	11	in	in	ADP
ejpam-6513	76	12	topological	topological	ADJ
ejpam-6513	76	13	spaces	space	NOUN
ejpam-6513	76	14	,	,	PUNCT
ejpam-6513	76	15	which	which	PRON
ejpam-6513	76	16	provides	provide	VERB
ejpam-6513	76	17	relevant	relevant	ADJ
ejpam-6513	76	18	insights	insight	NOUN
ejpam-6513	76	19	for	for	ADP
ejpam-6513	76	20	extending	extend	VERB
ejpam-6513	76	21	covering	covering	NOUN
ejpam-6513	76	22	properties	property	NOUN
ejpam-6513	76	23	to	to	ADP
ejpam-6513	76	24	soft	soft	ADJ
ejpam-6513	76	25	settings	setting	NOUN
ejpam-6513	76	26	.	.	PUNCT
ejpam-6513	77	1	recent	recent	ADJ
ejpam-6513	77	2	developments	development	NOUN
ejpam-6513	77	3	in	in	ADP
ejpam-6513	77	4	approximation	approximation	NOUN
ejpam-6513	77	5	spaces	space	NOUN
ejpam-6513	77	6	and	and	CCONJ
ejpam-6513	77	7	their	their	PRON
ejpam-6513	77	8	applications	application	NOUN
ejpam-6513	77	9	have	have	AUX
ejpam-6513	77	10	shown	show	VERB
ejpam-6513	77	11	promising	promising	ADJ
ejpam-6513	77	12	connections	connection	NOUN
ejpam-6513	77	13	to	to	ADP
ejpam-6513	77	14	soft	soft	ADJ
ejpam-6513	77	15	topological	topological	ADJ
ejpam-6513	77	16	methods	method	NOUN
ejpam-6513	77	17	.	.	PUNCT
ejpam-6513	78	1	studies	study	NOUN
ejpam-6513	78	2	on	on	ADP
ejpam-6513	78	3	κ	κ	NOUN
ejpam-6513	78	4	-	-	NOUN
ejpam-6513	78	5	neighborhoods	neighborhood	NOUN
ejpam-6513	78	6	[	[	X
ejpam-6513	78	7	38	38	NUM
ejpam-6513	78	8	]	]	PUNCT
ejpam-6513	78	9	,	,	PUNCT
ejpam-6513	78	10	innovative	innovative	ADJ
ejpam-6513	78	11	rough	rough	ADJ
ejpam-6513	78	12	set	set	NOUN
ejpam-6513	78	13	approaches	approach	NOUN
ejpam-6513	78	14	for	for	ADP
ejpam-6513	78	15	medical	medical	ADJ
ejpam-6513	78	16	diagnosis	diagnosis	NOUN
ejpam-6513	78	17	of	of	ADP
ejpam-6513	78	18	covid-19	covid-19	PROPN
ejpam-6513	78	19	variants	variant	NOUN
ejpam-6513	78	20	using	use	VERB
ejpam-6513	78	21	novel	novel	ADJ
ejpam-6513	78	22	initialneighborhood	initialneighborhood	NOUN
ejpam-6513	78	23	systems	system	NOUN
ejpam-6513	78	24	[	[	X
ejpam-6513	78	25	37	37	NUM
ejpam-6513	78	26	]	]	PUNCT
ejpam-6513	78	27	,	,	PUNCT
ejpam-6513	78	28	accurate	accurate	ADJ
ejpam-6513	78	29	diagnosis	diagnosis	NOUN
ejpam-6513	78	30	for	for	ADP
ejpam-6513	78	31	covid-19	covid-19	PROPN
ejpam-6513	78	32	variants	variant	NOUN
ejpam-6513	78	33	using	use	VERB
ejpam-6513	78	34	nearly	nearly	ADV
ejpam-6513	78	35	initialrough	initialrough	NOUN
ejpam-6513	78	36	sets	set	NOUN
ejpam-6513	78	37	[	[	X
ejpam-6513	78	38	38	38	NUM
ejpam-6513	78	39	]	]	PUNCT
ejpam-6513	78	40	,	,	PUNCT
ejpam-6513	78	41	enhancing	enhance	VERB
ejpam-6513	78	42	rheumatic	rheumatic	ADJ
ejpam-6513	78	43	fever	fever	NOUN
ejpam-6513	78	44	analysis	analysis	NOUN
ejpam-6513	78	45	via	via	ADP
ejpam-6513	78	46	tritopological	tritopological	ADJ
ejpam-6513	78	47	approximation	approximation	NOUN
ejpam-6513	78	48	spaces	space	NOUN
ejpam-6513	78	49	[	[	X
ejpam-6513	78	50	39	39	NUM
ejpam-6513	78	51	]	]	PUNCT
ejpam-6513	78	52	,	,	PUNCT
ejpam-6513	78	53	and	and	CCONJ
ejpam-6513	78	54	exploring	explore	VERB
ejpam-6513	78	55	β	β	NOUN
ejpam-6513	78	56	-	-	ADJ
ejpam-6513	78	57	basic	basic	ADJ
ejpam-6513	78	58	rough	rough	ADJ
ejpam-6513	78	59	sets	set	NOUN
ejpam-6513	78	60	and	and	CCONJ
ejpam-6513	78	61	their	their	PRON
ejpam-6513	78	62	applications	application	NOUN
ejpam-6513	78	63	in	in	ADP
ejpam-6513	78	64	medicine	medicine	NOUN
ejpam-6513	78	65	[	[	X
ejpam-6513	78	66	40	40	NUM
ejpam-6513	78	67	]	]	PUNCT
ejpam-6513	78	68	have	have	AUX
ejpam-6513	78	69	demonstrated	demonstrate	VERB
ejpam-6513	78	70	the	the	DET
ejpam-6513	78	71	practical	practical	ADJ
ejpam-6513	78	72	relevance	relevance	NOUN
ejpam-6513	78	73	of	of	ADP
ejpam-6513	78	74	these	these	DET
ejpam-6513	78	75	theoretical	theoretical	ADJ
ejpam-6513	78	76	frameworks	framework	NOUN
ejpam-6513	78	77	in	in	ADP
ejpam-6513	78	78	real	real	ADJ
ejpam-6513	78	79	-	-	PUNCT
ejpam-6513	78	80	world	world	NOUN
ejpam-6513	78	81	medical	medical	PROPN
ejpam-6513	78	82	apj	apj	PROPN
ejpam-6513	78	83	.	.	PUNCT
ejpam-6513	79	1	oudetallah	oudetallah	PROPN
ejpam-6513	79	2	et	et	PROPN
ejpam-6513	79	3	al	al	PROPN
ejpam-6513	79	4	.	.	PUNCT
ejpam-6513	79	5	/	/	SYM
ejpam-6513	79	6	eur	eur	PROPN
ejpam-6513	79	7	.	.	PUNCT
ejpam-6513	80	1	j.	j.	PROPN
ejpam-6513	80	2	pure	pure	PROPN
ejpam-6513	80	3	appl	appl	PROPN
ejpam-6513	80	4	.	.	PROPN
ejpam-6513	80	5	math	math	PROPN
ejpam-6513	80	6	,	,	PUNCT
ejpam-6513	80	7	18	18	NUM
ejpam-6513	80	8	(	(	PUNCT
ejpam-6513	80	9	3	3	NUM
ejpam-6513	80	10	)	)	PUNCT
ejpam-6513	80	11	(	(	PUNCT
ejpam-6513	80	12	2025	2025	NUM
ejpam-6513	80	13	)	)	PUNCT
ejpam-6513	80	14	,	,	PUNCT
ejpam-6513	80	15	6513	6513	NUM
ejpam-6513	80	16	4	4	NUM
ejpam-6513	80	17	of	of	ADP
ejpam-6513	80	18	14	14	NUM
ejpam-6513	80	19	plications	plication	NOUN
ejpam-6513	80	20	.	.	PUNCT
ejpam-6513	81	1	this	this	DET
ejpam-6513	81	2	study	study	NOUN
ejpam-6513	81	3	aims	aim	VERB
ejpam-6513	81	4	to	to	PART
ejpam-6513	81	5	introduce	introduce	VERB
ejpam-6513	81	6	and	and	CCONJ
ejpam-6513	81	7	investigate	investigate	VERB
ejpam-6513	81	8	d	d	ADJ
ejpam-6513	81	9	-	-	ADJ
ejpam-6513	81	10	soft	soft	ADJ
ejpam-6513	81	11	compact	compact	ADJ
ejpam-6513	81	12	spaces	space	NOUN
ejpam-6513	81	13	,	,	PUNCT
ejpam-6513	81	14	a	a	DET
ejpam-6513	81	15	new	new	ADJ
ejpam-6513	81	16	class	class	NOUN
ejpam-6513	81	17	of	of	ADP
ejpam-6513	81	18	soft	soft	ADJ
ejpam-6513	81	19	topological	topological	ADJ
ejpam-6513	81	20	spaces	space	NOUN
ejpam-6513	81	21	that	that	PRON
ejpam-6513	81	22	generalizes	generalize	VERB
ejpam-6513	81	23	both	both	DET
ejpam-6513	81	24	soft	soft	ADJ
ejpam-6513	81	25	compactness	compactness	NOUN
ejpam-6513	81	26	and	and	CCONJ
ejpam-6513	81	27	d	d	NOUN
ejpam-6513	81	28	-	-	NOUN
ejpam-6513	81	29	compactness	compactness	NOUN
ejpam-6513	81	30	.	.	PUNCT
ejpam-6513	82	1	by	by	ADP
ejpam-6513	82	2	introducing	introduce	VERB
ejpam-6513	82	3	d	d	ADJ
ejpam-6513	82	4	-	-	ADJ
ejpam-6513	82	5	soft	soft	ADJ
ejpam-6513	82	6	covers	cover	NOUN
ejpam-6513	82	7	—	—	PUNCT
ejpam-6513	82	8	a	a	DET
ejpam-6513	82	9	novel	novel	ADJ
ejpam-6513	82	10	type	type	NOUN
ejpam-6513	82	11	of	of	ADP
ejpam-6513	82	12	covering	covering	NOUN
ejpam-6513	82	13	in	in	ADP
ejpam-6513	82	14	soft	soft	ADJ
ejpam-6513	82	15	topology	topology	NOUN
ejpam-6513	82	16	—	—	PUNCT
ejpam-6513	82	17	we	we	PRON
ejpam-6513	82	18	provide	provide	VERB
ejpam-6513	82	19	a	a	DET
ejpam-6513	82	20	fresh	fresh	ADJ
ejpam-6513	82	21	perspective	perspective	NOUN
ejpam-6513	82	22	on	on	ADP
ejpam-6513	82	23	compactness	compactness	NOUN
ejpam-6513	82	24	conditions	condition	NOUN
ejpam-6513	82	25	.	.	PUNCT
ejpam-6513	83	1	our	our	PRON
ejpam-6513	83	2	approach	approach	NOUN
ejpam-6513	83	3	builds	build	VERB
ejpam-6513	83	4	upon	upon	SCONJ
ejpam-6513	83	5	the	the	DET
ejpam-6513	83	6	extensive	extensive	ADJ
ejpam-6513	83	7	work	work	NOUN
ejpam-6513	83	8	on	on	ADP
ejpam-6513	83	9	d	d	NOUN
ejpam-6513	83	10	-	-	PUNCT
ejpam-6513	83	11	sets	set	NOUN
ejpam-6513	83	12	and	and	CCONJ
ejpam-6513	83	13	related	related	ADJ
ejpam-6513	83	14	concepts	concept	NOUN
ejpam-6513	83	15	by	by	ADP
ejpam-6513	83	16	oudetallah	oudetallah	PROPN
ejpam-6513	83	17	and	and	CCONJ
ejpam-6513	83	18	collaborators	collaborator	NOUN
ejpam-6513	83	19	[	[	X
ejpam-6513	83	20	24–27	24–27	NUM
ejpam-6513	83	21	,	,	PUNCT
ejpam-6513	83	22	35	35	NUM
ejpam-6513	83	23	,	,	PUNCT
ejpam-6513	83	24	36	36	NUM
ejpam-6513	83	25	]	]	PUNCT
ejpam-6513	83	26	,	,	PUNCT
ejpam-6513	83	27	adapting	adapt	VERB
ejpam-6513	83	28	these	these	DET
ejpam-6513	83	29	ideas	idea	NOUN
ejpam-6513	83	30	to	to	ADP
ejpam-6513	83	31	the	the	DET
ejpam-6513	83	32	soft	soft	ADJ
ejpam-6513	83	33	topological	topological	ADJ
ejpam-6513	83	34	setting	setting	NOUN
ejpam-6513	83	35	.	.	PUNCT
ejpam-6513	84	1	this	this	DET
ejpam-6513	84	2	addresses	address	VERB
ejpam-6513	84	3	existing	exist	VERB
ejpam-6513	84	4	gaps	gap	NOUN
ejpam-6513	84	5	in	in	ADP
ejpam-6513	84	6	the	the	DET
ejpam-6513	84	7	literature	literature	NOUN
ejpam-6513	84	8	and	and	CCONJ
ejpam-6513	84	9	offers	offer	VERB
ejpam-6513	84	10	a	a	DET
ejpam-6513	84	11	more	more	ADV
ejpam-6513	84	12	nuanced	nuanced	ADJ
ejpam-6513	84	13	understanding	understanding	NOUN
ejpam-6513	84	14	of	of	ADP
ejpam-6513	84	15	covering	cover	VERB
ejpam-6513	84	16	properties	property	NOUN
ejpam-6513	84	17	in	in	ADP
ejpam-6513	84	18	soft	soft	ADJ
ejpam-6513	84	19	topological	topological	ADJ
ejpam-6513	84	20	spaces	space	NOUN
ejpam-6513	84	21	.	.	PUNCT
ejpam-6513	85	1	the	the	DET
ejpam-6513	85	2	significance	significance	NOUN
ejpam-6513	85	3	of	of	ADP
ejpam-6513	85	4	this	this	DET
ejpam-6513	85	5	research	research	NOUN
ejpam-6513	85	6	is	be	AUX
ejpam-6513	85	7	multifaceted	multifaceted	ADJ
ejpam-6513	85	8	.	.	PUNCT
ejpam-6513	86	1	theoretically	theoretically	ADV
ejpam-6513	86	2	,	,	PUNCT
ejpam-6513	86	3	it	it	PRON
ejpam-6513	86	4	extends	extend	VERB
ejpam-6513	86	5	the	the	DET
ejpam-6513	86	6	foundational	foundational	ADJ
ejpam-6513	86	7	understanding	understanding	NOUN
ejpam-6513	86	8	of	of	ADP
ejpam-6513	86	9	compactness	compactness	NOUN
ejpam-6513	86	10	by	by	ADP
ejpam-6513	86	11	introducing	introduce	VERB
ejpam-6513	86	12	adjustable	adjustable	ADJ
ejpam-6513	86	13	d	d	ADJ
ejpam-6513	86	14	-	-	ADJ
ejpam-6513	86	15	soft	soft	ADJ
ejpam-6513	86	16	parameters	parameter	NOUN
ejpam-6513	86	17	that	that	PRON
ejpam-6513	86	18	can	can	AUX
ejpam-6513	86	19	be	be	AUX
ejpam-6513	86	20	tailored	tailor	VERB
ejpam-6513	86	21	to	to	ADP
ejpam-6513	86	22	different	different	ADJ
ejpam-6513	86	23	topological	topological	ADJ
ejpam-6513	86	24	structures	structure	NOUN
ejpam-6513	86	25	.	.	PUNCT
ejpam-6513	87	1	practically	practically	ADV
ejpam-6513	87	2	,	,	PUNCT
ejpam-6513	87	3	it	it	PRON
ejpam-6513	87	4	provides	provide	VERB
ejpam-6513	87	5	tools	tool	NOUN
ejpam-6513	87	6	for	for	ADP
ejpam-6513	87	7	modeling	model	VERB
ejpam-6513	87	8	uncertainty	uncertainty	NOUN
ejpam-6513	87	9	in	in	ADP
ejpam-6513	87	10	complex	complex	ADJ
ejpam-6513	87	11	systems	system	NOUN
ejpam-6513	87	12	where	where	SCONJ
ejpam-6513	87	13	traditional	traditional	ADJ
ejpam-6513	87	14	compactness	compactness	NOUN
ejpam-6513	87	15	conditions	condition	NOUN
ejpam-6513	87	16	may	may	AUX
ejpam-6513	87	17	be	be	AUX
ejpam-6513	87	18	too	too	ADV
ejpam-6513	87	19	restrictive	restrictive	ADJ
ejpam-6513	87	20	.	.	PUNCT
ejpam-6513	88	1	the	the	DET
ejpam-6513	88	2	framework	framework	NOUN
ejpam-6513	88	3	developed	develop	VERB
ejpam-6513	88	4	here	here	ADV
ejpam-6513	88	5	has	have	VERB
ejpam-6513	88	6	potential	potential	ADJ
ejpam-6513	88	7	applications	application	NOUN
ejpam-6513	88	8	in	in	ADP
ejpam-6513	88	9	decision	decision	NOUN
ejpam-6513	88	10	-	-	PUNCT
ejpam-6513	88	11	support	support	NOUN
ejpam-6513	88	12	systems	system	NOUN
ejpam-6513	88	13	,	,	PUNCT
ejpam-6513	88	14	pattern	pattern	NOUN
ejpam-6513	88	15	recognition	recognition	NOUN
ejpam-6513	88	16	,	,	PUNCT
ejpam-6513	88	17	and	and	CCONJ
ejpam-6513	88	18	data	data	VERB
ejpam-6513	88	19	analysis	analysis	NOUN
ejpam-6513	88	20	where	where	SCONJ
ejpam-6513	88	21	soft	soft	ADJ
ejpam-6513	88	22	computing	computing	NOUN
ejpam-6513	88	23	approaches	approach	NOUN
ejpam-6513	88	24	are	be	AUX
ejpam-6513	88	25	beneficial	beneficial	ADJ
ejpam-6513	88	26	,	,	PUNCT
ejpam-6513	88	27	as	as	SCONJ
ejpam-6513	88	28	demonstrated	demonstrate	VERB
ejpam-6513	88	29	by	by	ADP
ejpam-6513	88	30	recent	recent	ADJ
ejpam-6513	88	31	applications	application	NOUN
ejpam-6513	88	32	in	in	ADP
ejpam-6513	88	33	medical	medical	ADJ
ejpam-6513	88	34	diagnosis	diagnosis	NOUN
ejpam-6513	88	35	[	[	X
ejpam-6513	88	36	37–40	37–40	NUM
ejpam-6513	88	37	]	]	PUNCT
ejpam-6513	88	38	.	.	PUNCT
ejpam-6513	89	1	the	the	DET
ejpam-6513	89	2	main	main	ADJ
ejpam-6513	89	3	contributions	contribution	NOUN
ejpam-6513	89	4	of	of	ADP
ejpam-6513	89	5	this	this	DET
ejpam-6513	89	6	paper	paper	NOUN
ejpam-6513	89	7	are	be	AUX
ejpam-6513	89	8	:	:	PUNCT
ejpam-6513	89	9	(	(	PUNCT
ejpam-6513	89	10	i	i	NOUN
ejpam-6513	89	11	)	)	PUNCT
ejpam-6513	89	12	introduction	introduction	NOUN
ejpam-6513	89	13	of	of	ADP
ejpam-6513	89	14	d	d	NOUN
ejpam-6513	89	15	-	-	ADJ
ejpam-6513	89	16	soft	soft	ADJ
ejpam-6513	89	17	covers	cover	NOUN
ejpam-6513	89	18	and	and	CCONJ
ejpam-6513	89	19	d	d	NOUN
ejpam-6513	89	20	-	-	ADJ
ejpam-6513	89	21	soft	soft	ADJ
ejpam-6513	89	22	compact	compact	ADJ
ejpam-6513	89	23	spaces	space	NOUN
ejpam-6513	89	24	with	with	ADP
ejpam-6513	89	25	their	their	PRON
ejpam-6513	89	26	fundamental	fundamental	ADJ
ejpam-6513	89	27	properties	property	NOUN
ejpam-6513	89	28	(	(	PUNCT
ejpam-6513	89	29	ii	ii	NOUN
ejpam-6513	89	30	)	)	PUNCT
ejpam-6513	89	31	establishment	establishment	NOUN
ejpam-6513	89	32	of	of	ADP
ejpam-6513	89	33	relationships	relationship	NOUN
ejpam-6513	89	34	between	between	ADP
ejpam-6513	89	35	d	d	NOUN
ejpam-6513	89	36	-	-	ADJ
ejpam-6513	89	37	soft	soft	ADJ
ejpam-6513	89	38	compactness	compactness	NOUN
ejpam-6513	89	39	and	and	CCONJ
ejpam-6513	89	40	existing	exist	VERB
ejpam-6513	89	41	forms	form	NOUN
ejpam-6513	89	42	of	of	ADP
ejpam-6513	89	43	soft	soft	ADJ
ejpam-6513	89	44	compactness	compactness	NOUN
ejpam-6513	89	45	(	(	PUNCT
ejpam-6513	89	46	iii	iii	NOUN
ejpam-6513	89	47	)	)	PUNCT
ejpam-6513	89	48	characterization	characterization	NOUN
ejpam-6513	89	49	theorems	theorem	NOUN
ejpam-6513	89	50	for	for	ADP
ejpam-6513	89	51	d	d	NOUN
ejpam-6513	89	52	-	-	ADJ
ejpam-6513	89	53	soft	soft	ADJ
ejpam-6513	89	54	compact	compact	ADJ
ejpam-6513	89	55	spaces	space	NOUN
ejpam-6513	89	56	under	under	ADP
ejpam-6513	89	57	various	various	ADJ
ejpam-6513	89	58	conditions	condition	NOUN
ejpam-6513	89	59	(	(	PUNCT
ejpam-6513	89	60	iv	iv	X
ejpam-6513	89	61	)	)	PUNCT
ejpam-6513	89	62	investigation	investigation	NOUN
ejpam-6513	89	63	of	of	ADP
ejpam-6513	89	64	hereditary	hereditary	ADJ
ejpam-6513	89	65	properties	property	NOUN
ejpam-6513	89	66	and	and	CCONJ
ejpam-6513	89	67	preservation	preservation	NOUN
ejpam-6513	89	68	under	under	ADP
ejpam-6513	89	69	mappings	mapping	NOUN
ejpam-6513	89	70	(	(	PUNCT
ejpam-6513	89	71	v	v	NOUN
ejpam-6513	89	72	)	)	PUNCT
ejpam-6513	89	73	illustrative	illustrative	ADJ
ejpam-6513	89	74	examples	example	NOUN
ejpam-6513	89	75	demonstrating	demonstrate	VERB
ejpam-6513	89	76	the	the	DET
ejpam-6513	89	77	distinctions	distinction	NOUN
ejpam-6513	89	78	between	between	ADP
ejpam-6513	89	79	different	different	ADJ
ejpam-6513	89	80	types	type	NOUN
ejpam-6513	89	81	of	of	ADP
ejpam-6513	89	82	soft	soft	ADJ
ejpam-6513	89	83	compactness	compactness	NOUN
ejpam-6513	89	84	the	the	DET
ejpam-6513	89	85	organization	organization	NOUN
ejpam-6513	89	86	of	of	ADP
ejpam-6513	89	87	the	the	DET
ejpam-6513	89	88	paper	paper	NOUN
ejpam-6513	89	89	is	be	AUX
ejpam-6513	89	90	as	as	SCONJ
ejpam-6513	89	91	follows	follow	VERB
ejpam-6513	89	92	:	:	PUNCT
ejpam-6513	89	93	in	in	ADP
ejpam-6513	89	94	section	section	NOUN
ejpam-6513	89	95	2	2	NUM
ejpam-6513	89	96	,	,	PUNCT
ejpam-6513	89	97	we	we	PRON
ejpam-6513	89	98	review	review	VERB
ejpam-6513	89	99	essential	essential	ADJ
ejpam-6513	89	100	concepts	concept	NOUN
ejpam-6513	89	101	from	from	ADP
ejpam-6513	89	102	soft	soft	ADJ
ejpam-6513	89	103	set	set	NOUN
ejpam-6513	89	104	theory	theory	NOUN
ejpam-6513	89	105	and	and	CCONJ
ejpam-6513	89	106	soft	soft	ADJ
ejpam-6513	89	107	topology	topology	NOUN
ejpam-6513	89	108	,	,	PUNCT
ejpam-6513	89	109	providing	provide	VERB
ejpam-6513	89	110	the	the	DET
ejpam-6513	89	111	foundation	foundation	NOUN
ejpam-6513	89	112	for	for	ADP
ejpam-6513	89	113	our	our	PRON
ejpam-6513	89	114	work	work	NOUN
ejpam-6513	89	115	.	.	PUNCT
ejpam-6513	90	1	in	in	ADP
ejpam-6513	90	2	section	section	NOUN
ejpam-6513	90	3	3	3	NUM
ejpam-6513	90	4	,	,	PUNCT
ejpam-6513	90	5	we	we	PRON
ejpam-6513	90	6	present	present	VERB
ejpam-6513	90	7	the	the	DET
ejpam-6513	90	8	main	main	ADJ
ejpam-6513	90	9	definitions	definition	NOUN
ejpam-6513	90	10	of	of	ADP
ejpam-6513	90	11	d	d	NOUN
ejpam-6513	90	12	-	-	ADJ
ejpam-6513	90	13	soft	soft	ADJ
ejpam-6513	90	14	covers	cover	NOUN
ejpam-6513	90	15	and	and	CCONJ
ejpam-6513	90	16	d	d	NOUN
ejpam-6513	90	17	-	-	ADJ
ejpam-6513	90	18	soft	soft	ADJ
ejpam-6513	90	19	compactness	compactness	NOUN
ejpam-6513	90	20	concepts	concept	NOUN
ejpam-6513	90	21	;	;	PUNCT
ejpam-6513	90	22	we	we	PRON
ejpam-6513	90	23	then	then	ADV
ejpam-6513	90	24	develop	develop	VERB
ejpam-6513	90	25	the	the	DET
ejpam-6513	90	26	theory	theory	NOUN
ejpam-6513	90	27	through	through	ADP
ejpam-6513	90	28	several	several	ADJ
ejpam-6513	90	29	theorems	theorem	NOUN
ejpam-6513	90	30	and	and	CCONJ
ejpam-6513	90	31	results	result	NOUN
ejpam-6513	90	32	,	,	PUNCT
ejpam-6513	90	33	supported	support	VERB
ejpam-6513	90	34	by	by	ADP
ejpam-6513	90	35	illustrative	illustrative	ADJ
ejpam-6513	90	36	figures	figure	NOUN
ejpam-6513	90	37	and	and	CCONJ
ejpam-6513	90	38	examples	example	NOUN
ejpam-6513	90	39	.	.	PUNCT
ejpam-6513	91	1	section	section	NOUN
ejpam-6513	91	2	4	4	NUM
ejpam-6513	91	3	concludes	conclude	VERB
ejpam-6513	91	4	the	the	DET
ejpam-6513	91	5	paper	paper	NOUN
ejpam-6513	91	6	with	with	ADP
ejpam-6513	91	7	a	a	DET
ejpam-6513	91	8	summary	summary	NOUN
ejpam-6513	91	9	of	of	ADP
ejpam-6513	91	10	our	our	PRON
ejpam-6513	91	11	findings	finding	NOUN
ejpam-6513	91	12	and	and	CCONJ
ejpam-6513	91	13	directions	direction	NOUN
ejpam-6513	91	14	for	for	ADP
ejpam-6513	91	15	future	future	ADJ
ejpam-6513	91	16	research	research	NOUN
ejpam-6513	91	17	.	.	PUNCT
ejpam-6513	92	1	2	2	X
ejpam-6513	92	2	.	.	NUM
ejpam-6513	92	3	basic	basic	ADJ
ejpam-6513	92	4	principles	principle	NOUN
ejpam-6513	92	5	and	and	CCONJ
ejpam-6513	92	6	primary	primary	ADJ
ejpam-6513	92	7	notions	notion	NOUN
ejpam-6513	92	8	in	in	ADP
ejpam-6513	92	9	this	this	DET
ejpam-6513	92	10	section	section	NOUN
ejpam-6513	92	11	,	,	PUNCT
ejpam-6513	92	12	we	we	PRON
ejpam-6513	92	13	present	present	VERB
ejpam-6513	92	14	the	the	DET
ejpam-6513	92	15	main	main	ADJ
ejpam-6513	92	16	concepts	concept	NOUN
ejpam-6513	92	17	and	and	CCONJ
ejpam-6513	92	18	results	result	NOUN
ejpam-6513	92	19	that	that	PRON
ejpam-6513	92	20	we	we	PRON
ejpam-6513	92	21	employed	employ	VERB
ejpam-6513	92	22	in	in	ADP
ejpam-6513	92	23	our	our	PRON
ejpam-6513	92	24	study	study	NOUN
ejpam-6513	92	25	in	in	ADP
ejpam-6513	92	26	the	the	DET
ejpam-6513	92	27	theory	theory	NOUN
ejpam-6513	92	28	of	of	ADP
ejpam-6513	92	29	soft	soft	ADJ
ejpam-6513	92	30	sets	set	NOUN
ejpam-6513	92	31	in	in	ADP
ejpam-6513	92	32	soft	soft	ADJ
ejpam-6513	92	33	topological	topological	ADJ
ejpam-6513	92	34	spaces	space	NOUN
ejpam-6513	92	35	.	.	PUNCT
ejpam-6513	93	1	definition	definition	NOUN
ejpam-6513	93	2	1	1	NUM
ejpam-6513	93	3	.	.	PUNCT
ejpam-6513	94	1	[	[	X
ejpam-6513	94	2	1	1	X
ejpam-6513	94	3	]	]	PUNCT
ejpam-6513	94	4	let	let	VERB
ejpam-6513	94	5	s	s	PRON
ejpam-6513	94	6	be	be	AUX
ejpam-6513	94	7	a	a	DET
ejpam-6513	94	8	universe	universe	NOUN
ejpam-6513	94	9	set	set	NOUN
ejpam-6513	94	10	and	and	CCONJ
ejpam-6513	94	11	a	a	DET
ejpam-6513	94	12	be	be	AUX
ejpam-6513	94	13	a	a	DET
ejpam-6513	94	14	set	set	NOUN
ejpam-6513	94	15	of	of	ADP
ejpam-6513	94	16	parameters	parameter	NOUN
ejpam-6513	94	17	.	.	PUNCT
ejpam-6513	95	1	suppose	suppose	VERB
ejpam-6513	95	2	that	that	SCONJ
ejpam-6513	95	3	the	the	DET
ejpam-6513	95	4	power	power	NOUN
ejpam-6513	95	5	set	set	NOUN
ejpam-6513	95	6	of	of	ADP
ejpam-6513	95	7	s	s	PROPN
ejpam-6513	95	8	is	be	AUX
ejpam-6513	95	9	represented	represent	VERB
ejpam-6513	95	10	by	by	ADP
ejpam-6513	95	11	p	p	PROPN
ejpam-6513	95	12	(	(	PUNCT
ejpam-6513	95	13	s	s	NOUN
ejpam-6513	95	14	)	)	PUNCT
ejpam-6513	95	15	and	and	CCONJ
ejpam-6513	95	16	e	e	X
ejpam-6513	95	17	⊂	⊂	PROPN
ejpam-6513	95	18	a.	a.	NOUN
ejpam-6513	95	19	a	a	DET
ejpam-6513	95	20	pair	pair	NOUN
ejpam-6513	95	21	(	(	PUNCT
ejpam-6513	95	22	t	t	PROPN
ejpam-6513	95	23	,	,	PUNCT
ejpam-6513	95	24	e	e	NOUN
ejpam-6513	95	25	)	)	PUNCT
ejpam-6513	95	26	is	be	AUX
ejpam-6513	95	27	called	call	VERB
ejpam-6513	95	28	a	a	DET
ejpam-6513	95	29	soft	soft	ADJ
ejpam-6513	95	30	set	set	NOUN
ejpam-6513	95	31	over	over	ADP
ejpam-6513	95	32	s	s	PRON
ejpam-6513	95	33	if	if	SCONJ
ejpam-6513	95	34	t	t	NOUN
ejpam-6513	95	35	:	:	PUNCT
ejpam-6513	95	36	e	e	X
ejpam-6513	95	37	−→	−→	NOUN
ejpam-6513	95	38	p	p	X
ejpam-6513	95	39	(	(	PUNCT
ejpam-6513	95	40	s	s	NOUN
ejpam-6513	95	41	)	)	PUNCT
ejpam-6513	95	42	;	;	PUNCT
ejpam-6513	95	43	for	for	ADP
ejpam-6513	95	44	any	any	DET
ejpam-6513	95	45	e	e	PROPN
ejpam-6513	95	46	∈	∈	PROPN
ejpam-6513	95	47	e	e	NOUN
ejpam-6513	95	48	,	,	PUNCT
ejpam-6513	95	49	we	we	PRON
ejpam-6513	95	50	have	have	VERB
ejpam-6513	95	51	t	t	NOUN
ejpam-6513	95	52	(	(	PUNCT
ejpam-6513	95	53	e	e	NOUN
ejpam-6513	95	54	)	)	PUNCT
ejpam-6513	95	55	∈	∈	PROPN
ejpam-6513	95	56	p	p	X
ejpam-6513	95	57	(	(	PUNCT
ejpam-6513	95	58	s	s	NOUN
ejpam-6513	95	59	)	)	PUNCT
ejpam-6513	95	60	.	.	PUNCT
ejpam-6513	96	1	j.	j.	PROPN
ejpam-6513	96	2	oudetallah	oudetallah	PROPN
ejpam-6513	96	3	et	et	PROPN
ejpam-6513	96	4	al	al	PROPN
ejpam-6513	96	5	.	.	PUNCT
ejpam-6513	96	6	/	/	SYM
ejpam-6513	96	7	eur	eur	PROPN
ejpam-6513	96	8	.	.	PUNCT
ejpam-6513	97	1	j.	j.	PROPN
ejpam-6513	97	2	pure	pure	PROPN
ejpam-6513	97	3	appl	appl	PROPN
ejpam-6513	97	4	.	.	PROPN
ejpam-6513	97	5	math	math	PROPN
ejpam-6513	97	6	,	,	PUNCT
ejpam-6513	97	7	18	18	NUM
ejpam-6513	97	8	(	(	PUNCT
ejpam-6513	97	9	3	3	NUM
ejpam-6513	97	10	)	)	PUNCT
ejpam-6513	97	11	(	(	PUNCT
ejpam-6513	97	12	2025	2025	NUM
ejpam-6513	97	13	)	)	PUNCT
ejpam-6513	97	14	,	,	PUNCT
ejpam-6513	97	15	6513	6513	NUM
ejpam-6513	97	16	5	5	NUM
ejpam-6513	97	17	of	of	ADP
ejpam-6513	97	18	14	14	NUM
ejpam-6513	97	19	definition	definition	NOUN
ejpam-6513	97	20	2	2	NUM
ejpam-6513	97	21	.	.	PUNCT
ejpam-6513	98	1	[	[	X
ejpam-6513	98	2	15	15	NUM
ejpam-6513	98	3	]	]	X
ejpam-6513	98	4	a	a	DET
ejpam-6513	98	5	soft	soft	ADJ
ejpam-6513	98	6	topological	topological	ADJ
ejpam-6513	98	7	space	space	NOUN
ejpam-6513	98	8	is	be	AUX
ejpam-6513	98	9	a	a	DET
ejpam-6513	98	10	triplet	triplet	NOUN
ejpam-6513	98	11	(	(	PUNCT
ejpam-6513	98	12	s	s	PROPN
ejpam-6513	98	13	,	,	PUNCT
ejpam-6513	98	14	υ	υ	NOUN
ejpam-6513	98	15	,	,	PUNCT
ejpam-6513	98	16	a	a	NOUN
ejpam-6513	98	17	)	)	PUNCT
ejpam-6513	98	18	where	where	SCONJ
ejpam-6513	98	19	s	s	NOUN
ejpam-6513	98	20	is	be	AUX
ejpam-6513	98	21	a	a	DET
ejpam-6513	98	22	nonempty	nonempty	ADV
ejpam-6513	98	23	set	set	VERB
ejpam-6513	98	24	and	and	CCONJ
ejpam-6513	98	25	υ	υ	NOUN
ejpam-6513	98	26	is	be	AUX
ejpam-6513	98	27	a	a	DET
ejpam-6513	98	28	collection	collection	NOUN
ejpam-6513	98	29	of	of	ADP
ejpam-6513	98	30	soft	soft	ADJ
ejpam-6513	98	31	sets	set	NOUN
ejpam-6513	98	32	over	over	ADP
ejpam-6513	98	33	s	s	PROPN
ejpam-6513	98	34	with	with	ADP
ejpam-6513	98	35	parameter	parameter	NOUN
ejpam-6513	98	36	set	set	VERB
ejpam-6513	98	37	a	a	DET
ejpam-6513	98	38	such	such	ADJ
ejpam-6513	98	39	that	that	SCONJ
ejpam-6513	98	40	υ	υ	PROPN
ejpam-6513	98	41	satisfies	satisfy	VERB
ejpam-6513	98	42	the	the	DET
ejpam-6513	98	43	following	follow	VERB
ejpam-6513	98	44	axioms	axiom	NOUN
ejpam-6513	98	45	:	:	PUNCT
ejpam-6513	98	46	(	(	PUNCT
ejpam-6513	98	47	i	i	NOUN
ejpam-6513	98	48	)	)	PUNCT
ejpam-6513	99	1	both	both	PRON
ejpam-6513	99	2	s	s	PART
ejpam-6513	99	3	and	and	CCONJ
ejpam-6513	99	4	∅	∅	NOUN
ejpam-6513	99	5	belong	belong	VERB
ejpam-6513	99	6	to	to	ADP
ejpam-6513	99	7	υ	υ	PROPN
ejpam-6513	99	8	.	.	PUNCT
ejpam-6513	100	1	(	(	PUNCT
ejpam-6513	100	2	ii	ii	NOUN
ejpam-6513	100	3	)	)	PUNCT
ejpam-6513	100	4	any	any	DET
ejpam-6513	100	5	union	union	NOUN
ejpam-6513	100	6	of	of	ADP
ejpam-6513	100	7	soft	soft	ADJ
ejpam-6513	100	8	sets	set	NOUN
ejpam-6513	100	9	in	in	ADP
ejpam-6513	100	10	υ	υ	PROPN
ejpam-6513	100	11	belongs	belong	VERB
ejpam-6513	100	12	to	to	ADP
ejpam-6513	100	13	υ	υ	PROPN
ejpam-6513	100	14	.	.	PUNCT
ejpam-6513	101	1	(	(	PUNCT
ejpam-6513	101	2	iii	iii	X
ejpam-6513	101	3	)	)	PUNCT
ejpam-6513	101	4	any	any	DET
ejpam-6513	101	5	finite	finite	ADJ
ejpam-6513	101	6	intersection	intersection	NOUN
ejpam-6513	101	7	of	of	ADP
ejpam-6513	101	8	soft	soft	ADJ
ejpam-6513	101	9	sets	set	NOUN
ejpam-6513	101	10	in	in	ADP
ejpam-6513	101	11	υ	υ	PROPN
ejpam-6513	101	12	belongs	belong	VERB
ejpam-6513	101	13	to	to	ADP
ejpam-6513	101	14	υ	υ	PROPN
ejpam-6513	101	15	.	.	PUNCT
ejpam-6513	102	1	the	the	DET
ejpam-6513	102	2	soft	soft	ADJ
ejpam-6513	102	3	topological	topological	ADJ
ejpam-6513	102	4	space	space	NOUN
ejpam-6513	102	5	is	be	AUX
ejpam-6513	102	6	denoted	denote	VERB
ejpam-6513	102	7	by	by	ADP
ejpam-6513	102	8	(	(	PUNCT
ejpam-6513	102	9	s	s	PROPN
ejpam-6513	102	10	,	,	PUNCT
ejpam-6513	102	11	υ	υ	NOUN
ejpam-6513	102	12	,	,	PUNCT
ejpam-6513	102	13	a	a	NOUN
ejpam-6513	102	14	)	)	PUNCT
ejpam-6513	102	15	where	where	SCONJ
ejpam-6513	102	16	a	a	PRON
ejpam-6513	102	17	is	be	AUX
ejpam-6513	102	18	a	a	DET
ejpam-6513	102	19	parameter	parameter	NOUN
ejpam-6513	102	20	set	set	NOUN
ejpam-6513	102	21	and	and	CCONJ
ejpam-6513	102	22	such	such	DET
ejpam-6513	102	23	a	a	DET
ejpam-6513	102	24	collection	collection	NOUN
ejpam-6513	102	25	,	,	PUNCT
ejpam-6513	102	26	υ	υ	NOUN
ejpam-6513	102	27	,	,	PUNCT
ejpam-6513	102	28	over	over	ADP
ejpam-6513	102	29	s	s	NOUN
ejpam-6513	102	30	is	be	AUX
ejpam-6513	102	31	called	call	VERB
ejpam-6513	102	32	a	a	DET
ejpam-6513	102	33	soft	soft	ADJ
ejpam-6513	102	34	topology	topology	NOUN
ejpam-6513	102	35	.	.	PUNCT
ejpam-6513	103	1	the	the	DET
ejpam-6513	103	2	elements	element	NOUN
ejpam-6513	103	3	of	of	ADP
ejpam-6513	103	4	υ	υ	NOUN
ejpam-6513	103	5	are	be	AUX
ejpam-6513	103	6	called	call	VERB
ejpam-6513	103	7	soft	soft	ADJ
ejpam-6513	103	8	open	open	ADJ
ejpam-6513	103	9	sets	set	NOUN
ejpam-6513	103	10	,	,	PUNCT
ejpam-6513	103	11	and	and	CCONJ
ejpam-6513	103	12	their	their	PRON
ejpam-6513	103	13	complements	complement	NOUN
ejpam-6513	103	14	are	be	AUX
ejpam-6513	103	15	called	call	VERB
ejpam-6513	103	16	soft	soft	ADJ
ejpam-6513	103	17	closed	closed	ADJ
ejpam-6513	103	18	sets	set	NOUN
ejpam-6513	103	19	.	.	PUNCT
ejpam-6513	104	1	table	table	NOUN
ejpam-6513	104	2	1	1	NUM
ejpam-6513	104	3	:	:	PUNCT
ejpam-6513	104	4	comparison	comparison	NOUN
ejpam-6513	104	5	between	between	ADP
ejpam-6513	104	6	classical	classical	ADJ
ejpam-6513	104	7	and	and	CCONJ
ejpam-6513	104	8	soft	soft	ADJ
ejpam-6513	104	9	topological	topological	ADJ
ejpam-6513	104	10	concepts	concept	NOUN
ejpam-6513	104	11	classical	classical	ADJ
ejpam-6513	104	12	topology	topology	NOUN
ejpam-6513	104	13	soft	soft	ADJ
ejpam-6513	104	14	topology	topology	NOUN
ejpam-6513	104	15	set	set	VERB
ejpam-6513	104	16	x	x	PUNCT
ejpam-6513	104	17	soft	soft	ADJ
ejpam-6513	104	18	set	set	NOUN
ejpam-6513	104	19	(	(	PUNCT
ejpam-6513	104	20	f	f	X
ejpam-6513	104	21	,	,	PUNCT
ejpam-6513	104	22	a	a	PRON
ejpam-6513	104	23	)	)	PUNCT
ejpam-6513	104	24	open	open	ADJ
ejpam-6513	104	25	set	set	VERB
ejpam-6513	104	26	u	u	NOUN
ejpam-6513	104	27	soft	soft	ADJ
ejpam-6513	104	28	open	open	ADJ
ejpam-6513	104	29	set	set	NOUN
ejpam-6513	104	30	(	(	PUNCT
ejpam-6513	104	31	u	u	NOUN
ejpam-6513	104	32	,	,	PUNCT
ejpam-6513	104	33	a	a	PRON
ejpam-6513	104	34	)	)	PUNCT
ejpam-6513	104	35	topology	topology	NOUN
ejpam-6513	104	36	τ	τ	PROPN
ejpam-6513	104	37	soft	soft	ADJ
ejpam-6513	104	38	topology	topology	NOUN
ejpam-6513	104	39	υ	υ	PROPN
ejpam-6513	104	40	open	open	ADJ
ejpam-6513	104	41	cover	cover	VERB
ejpam-6513	104	42	soft	soft	ADJ
ejpam-6513	104	43	open	open	ADJ
ejpam-6513	104	44	cover	cover	NOUN
ejpam-6513	104	45	compact	compact	ADJ
ejpam-6513	104	46	space	space	NOUN
ejpam-6513	104	47	soft	soft	ADJ
ejpam-6513	104	48	compact	compact	ADJ
ejpam-6513	104	49	space	space	NOUN
ejpam-6513	104	50	d	d	NOUN
ejpam-6513	104	51	-	-	PUNCT
ejpam-6513	104	52	set	set	ADJ
ejpam-6513	104	53	d	d	ADJ
ejpam-6513	104	54	-	-	ADJ
ejpam-6513	104	55	soft	soft	ADJ
ejpam-6513	104	56	set	set	NOUN
ejpam-6513	104	57	d	d	NOUN
ejpam-6513	104	58	-	-	NOUN
ejpam-6513	104	59	cover	cover	VERB
ejpam-6513	104	60	d	d	ADJ
ejpam-6513	104	61	-	-	ADJ
ejpam-6513	104	62	soft	soft	ADJ
ejpam-6513	104	63	cover	cover	NOUN
ejpam-6513	105	1	d	d	ADJ
ejpam-6513	105	2	-	-	ADJ
ejpam-6513	105	3	compact	compact	ADJ
ejpam-6513	105	4	d	d	ADJ
ejpam-6513	105	5	-	-	ADJ
ejpam-6513	105	6	soft	soft	ADJ
ejpam-6513	105	7	compact	compact	ADJ
ejpam-6513	105	8	definition	definition	NOUN
ejpam-6513	105	9	3	3	NUM
ejpam-6513	105	10	.	.	PUNCT
ejpam-6513	106	1	[	[	X
ejpam-6513	106	2	18	18	NUM
ejpam-6513	106	3	]	]	PUNCT
ejpam-6513	106	4	the	the	DET
ejpam-6513	106	5	soft	soft	ADV
ejpam-6513	106	6	-	-	PUNCT
ejpam-6513	106	7	set	set	NOUN
ejpam-6513	106	8	(	(	PUNCT
ejpam-6513	106	9	t	t	PROPN
ejpam-6513	106	10	,	,	PUNCT
ejpam-6513	106	11	a	a	PRON
ejpam-6513	106	12	)	)	PUNCT
ejpam-6513	106	13	is	be	AUX
ejpam-6513	106	14	said	say	VERB
ejpam-6513	106	15	to	to	PART
ejpam-6513	106	16	be	be	AUX
ejpam-6513	106	17	covered	cover	VERB
ejpam-6513	106	18	by	by	ADP
ejpam-6513	106	19	a	a	DET
ejpam-6513	106	20	family	family	NOUN
ejpam-6513	106	21	σ	σ	NOUN
ejpam-6513	106	22	of	of	ADP
ejpam-6513	106	23	soft	soft	ADJ
ejpam-6513	106	24	-	-	PUNCT
ejpam-6513	106	25	sets	set	NOUN
ejpam-6513	106	26	if	if	SCONJ
ejpam-6513	106	27	(	(	PUNCT
ejpam-6513	106	28	t	t	PROPN
ejpam-6513	106	29	,	,	PUNCT
ejpam-6513	106	30	a	a	PRON
ejpam-6513	106	31	)	)	PUNCT
ejpam-6513	106	32	⊆	⊆	NUM
ejpam-6513	106	33	∪{(ti	∪{(ti	NOUN
ejpam-6513	106	34	,	,	PUNCT
ejpam-6513	106	35	a	a	PRON
ejpam-6513	106	36	)	)	PUNCT
ejpam-6513	106	37	;	;	PUNCT
ejpam-6513	106	38	(	(	PUNCT
ejpam-6513	106	39	ti	ti	X
ejpam-6513	106	40	,	,	PUNCT
ejpam-6513	106	41	a	a	PRON
ejpam-6513	106	42	)	)	PUNCT
ejpam-6513	106	43	∈	∈	PROPN
ejpam-6513	106	44	σ	σ	PROPN
ejpam-6513	106	45	;	;	PUNCT
ejpam-6513	106	46	i	i	PROPN
ejpam-6513	106	47	∈	∈	PROPN
ejpam-6513	106	48	i	i	PRON
ejpam-6513	106	49	}	}	PUNCT
ejpam-6513	106	50	,	,	PUNCT
ejpam-6513	106	51	where	where	SCONJ
ejpam-6513	106	52	σ	σ	PROPN
ejpam-6513	106	53	is	be	AUX
ejpam-6513	106	54	referred	refer	VERB
ejpam-6513	106	55	to	to	ADP
ejpam-6513	106	56	as	as	ADP
ejpam-6513	106	57	a	a	DET
ejpam-6513	106	58	soft	soft	ADJ
ejpam-6513	106	59	-	-	PUNCT
ejpam-6513	106	60	open	open	ADJ
ejpam-6513	106	61	cover	cover	NOUN
ejpam-6513	106	62	if	if	SCONJ
ejpam-6513	106	63	all	all	PRON
ejpam-6513	106	64	of	of	ADP
ejpam-6513	106	65	its	its	PRON
ejpam-6513	106	66	elements	element	NOUN
ejpam-6513	106	67	are	be	AUX
ejpam-6513	106	68	soft	soft	ADJ
ejpam-6513	106	69	-	-	PUNCT
ejpam-6513	106	70	open	open	ADJ
ejpam-6513	106	71	sets	set	NOUN
ejpam-6513	106	72	.	.	PUNCT
ejpam-6513	107	1	definition	definition	NOUN
ejpam-6513	107	2	4	4	NUM
ejpam-6513	107	3	.	.	PUNCT
ejpam-6513	108	1	[	[	X
ejpam-6513	108	2	3	3	X
ejpam-6513	108	3	]	]	PUNCT
ejpam-6513	108	4	a	a	DET
ejpam-6513	108	5	soft	soft	ADJ
ejpam-6513	108	6	topological	topological	ADJ
ejpam-6513	108	7	space	space	NOUN
ejpam-6513	108	8	(	(	PUNCT
ejpam-6513	108	9	s	s	PROPN
ejpam-6513	108	10	,	,	PUNCT
ejpam-6513	108	11	υ	υ	NOUN
ejpam-6513	108	12	,	,	PUNCT
ejpam-6513	108	13	a	a	PRON
ejpam-6513	108	14	)	)	PUNCT
ejpam-6513	108	15	is	be	AUX
ejpam-6513	108	16	called	call	VERB
ejpam-6513	108	17	soft	soft	ADJ
ejpam-6513	108	18	-	-	PUNCT
ejpam-6513	108	19	compact	compact	ADJ
ejpam-6513	108	20	if	if	SCONJ
ejpam-6513	108	21	every	every	DET
ejpam-6513	108	22	soft	soft	ADJ
ejpam-6513	108	23	-	-	PUNCT
ejpam-6513	108	24	open	open	ADJ
ejpam-6513	108	25	cover	cover	NOUN
ejpam-6513	108	26	has	have	VERB
ejpam-6513	108	27	a	a	DET
ejpam-6513	108	28	finite	finite	ADJ
ejpam-6513	108	29	soft	soft	ADJ
ejpam-6513	108	30	-	-	PUNCT
ejpam-6513	108	31	subcover	subcover	NOUN
ejpam-6513	108	32	.	.	PUNCT
ejpam-6513	109	1	this	this	PRON
ejpam-6513	109	2	generalizes	generalize	VERB
ejpam-6513	109	3	the	the	DET
ejpam-6513	109	4	classical	classical	ADJ
ejpam-6513	109	5	notion	notion	NOUN
ejpam-6513	109	6	of	of	ADP
ejpam-6513	109	7	compactness	compactness	NOUN
ejpam-6513	109	8	to	to	ADP
ejpam-6513	109	9	the	the	DET
ejpam-6513	109	10	soft	soft	ADJ
ejpam-6513	109	11	set	set	NOUN
ejpam-6513	109	12	setting	setting	NOUN
ejpam-6513	109	13	.	.	PUNCT
ejpam-6513	110	1	definition	definition	NOUN
ejpam-6513	110	2	5	5	NUM
ejpam-6513	110	3	.	.	PUNCT
ejpam-6513	111	1	[	[	X
ejpam-6513	111	2	16	16	NUM
ejpam-6513	111	3	,	,	PUNCT
ejpam-6513	111	4	17	17	NUM
ejpam-6513	111	5	]	]	PUNCT
ejpam-6513	111	6	a	a	DET
ejpam-6513	111	7	topological	topological	ADJ
ejpam-6513	111	8	space	space	NOUN
ejpam-6513	111	9	(	(	PUNCT
ejpam-6513	111	10	s	s	X
ejpam-6513	111	11	,	,	PUNCT
ejpam-6513	111	12	υ	υ	NOUN
ejpam-6513	111	13	)	)	PUNCT
ejpam-6513	111	14	is	be	AUX
ejpam-6513	111	15	compact	compact	ADJ
ejpam-6513	111	16	if	if	SCONJ
ejpam-6513	111	17	every	every	DET
ejpam-6513	111	18	open	open	ADJ
ejpam-6513	111	19	cover	cover	NOUN
ejpam-6513	111	20	of	of	ADP
ejpam-6513	111	21	s	s	PROPN
ejpam-6513	111	22	has	have	VERB
ejpam-6513	111	23	a	a	DET
ejpam-6513	111	24	finite	finite	ADJ
ejpam-6513	111	25	subcover	subcover	PROPN
ejpam-6513	111	26	.	.	PUNCT
ejpam-6513	112	1	this	this	PRON
ejpam-6513	112	2	means	mean	VERB
ejpam-6513	112	3	that	that	SCONJ
ejpam-6513	112	4	whenever	whenever	SCONJ
ejpam-6513	112	5	s	s	VERB
ejpam-6513	112	6	=	=	PUNCT
ejpam-6513	112	7	⋃	⋃	PROPN
ejpam-6513	112	8	i∈i	i∈i	ADJ
ejpam-6513	112	9	ui	ui	NOUN
ejpam-6513	112	10	where	where	SCONJ
ejpam-6513	112	11	each	each	DET
ejpam-6513	112	12	ui	ui	NOUN
ejpam-6513	112	13	is	be	AUX
ejpam-6513	112	14	open	open	ADJ
ejpam-6513	112	15	,	,	PUNCT
ejpam-6513	112	16	there	there	PRON
ejpam-6513	112	17	exists	exist	VERB
ejpam-6513	112	18	a	a	DET
ejpam-6513	112	19	finite	finite	NOUN
ejpam-6513	112	20	subset	subset	VERB
ejpam-6513	112	21	j	j	PROPN
ejpam-6513	112	22	⊆	⊆	NUM
ejpam-6513	112	23	i	i	PRON
ejpam-6513	112	24	such	such	ADJ
ejpam-6513	112	25	that	that	DET
ejpam-6513	112	26	s	s	NOUN
ejpam-6513	112	27	=	=	PUNCT
ejpam-6513	112	28	⋃	⋃	NOUN
ejpam-6513	112	29	i∈j	i∈j	NOUN
ejpam-6513	112	30	ui	ui	NOUN
ejpam-6513	112	31	.	.	PUNCT
ejpam-6513	113	1	definition	definition	NOUN
ejpam-6513	113	2	6	6	NUM
ejpam-6513	113	3	.	.	PUNCT
ejpam-6513	114	1	[	[	X
ejpam-6513	114	2	20	20	NUM
ejpam-6513	114	3	]	]	X
ejpam-6513	114	4	let	let	VERB
ejpam-6513	114	5	(	(	PUNCT
ejpam-6513	114	6	s	s	X
ejpam-6513	114	7	,	,	PUNCT
ejpam-6513	114	8	υ	υ	NOUN
ejpam-6513	114	9	)	)	PUNCT
ejpam-6513	114	10	be	be	AUX
ejpam-6513	114	11	a	a	DET
ejpam-6513	114	12	topological	topological	ADJ
ejpam-6513	114	13	space	space	NOUN
ejpam-6513	114	14	.	.	PUNCT
ejpam-6513	115	1	a	a	DET
ejpam-6513	115	2	subset	subset	NOUN
ejpam-6513	115	3	s1	s1	NOUN
ejpam-6513	115	4	⊆	⊆	NUM
ejpam-6513	115	5	s	s	NOUN
ejpam-6513	115	6	is	be	AUX
ejpam-6513	115	7	called	call	VERB
ejpam-6513	115	8	a	a	DET
ejpam-6513	115	9	d	d	NOUN
ejpam-6513	115	10	-	-	PUNCT
ejpam-6513	115	11	set	set	ADJ
ejpam-6513	115	12	if	if	SCONJ
ejpam-6513	115	13	there	there	PRON
ejpam-6513	115	14	exist	exist	VERB
ejpam-6513	115	15	two	two	NUM
ejpam-6513	115	16	open	open	ADJ
ejpam-6513	115	17	sets	set	NOUN
ejpam-6513	115	18	u1	u1	NOUN
ejpam-6513	115	19	and	and	CCONJ
ejpam-6513	115	20	u2	u2	NOUN
ejpam-6513	115	21	in	in	ADP
ejpam-6513	115	22	υ	υ	DET
ejpam-6513	115	23	such	such	ADJ
ejpam-6513	115	24	that	that	DET
ejpam-6513	115	25	u1	u1	NOUN
ejpam-6513	115	26	̸=	̸=	PROPN
ejpam-6513	115	27	s	s	PART
ejpam-6513	115	28	and	and	CCONJ
ejpam-6513	115	29	s1	s1	PROPN
ejpam-6513	115	30	=	=	SYM
ejpam-6513	115	31	u1	u1	PROPN
ejpam-6513	115	32	−	−	PROPN
ejpam-6513	115	33	u2	u2	PROPN
ejpam-6513	115	34	.	.	PUNCT
ejpam-6513	116	1	we	we	PRON
ejpam-6513	116	2	say	say	VERB
ejpam-6513	116	3	that	that	SCONJ
ejpam-6513	116	4	s1	s1	NOUN
ejpam-6513	116	5	is	be	AUX
ejpam-6513	116	6	the	the	DET
ejpam-6513	116	7	d	d	PROPN
ejpam-6513	116	8	-	-	PUNCT
ejpam-6513	116	9	set	set	NOUN
ejpam-6513	116	10	generated	generate	VERB
ejpam-6513	116	11	by	by	ADP
ejpam-6513	116	12	u1	u1	NOUN
ejpam-6513	116	13	and	and	CCONJ
ejpam-6513	116	14	u2	u2	PROPN
ejpam-6513	116	15	.	.	PUNCT
ejpam-6513	117	1	definition	definition	NOUN
ejpam-6513	117	2	7	7	NUM
ejpam-6513	117	3	.	.	PUNCT
ejpam-6513	118	1	[	[	X
ejpam-6513	118	2	23	23	NUM
ejpam-6513	118	3	]	]	PUNCT
ejpam-6513	118	4	a	a	DET
ejpam-6513	118	5	soft	soft	ADJ
ejpam-6513	118	6	subset	subset	NOUN
ejpam-6513	118	7	(	(	PUNCT
ejpam-6513	118	8	f	f	X
ejpam-6513	118	9	,	,	PUNCT
ejpam-6513	118	10	a	a	PRON
ejpam-6513	118	11	)	)	PUNCT
ejpam-6513	118	12	of	of	ADP
ejpam-6513	118	13	a	a	DET
ejpam-6513	118	14	soft	soft	ADJ
ejpam-6513	118	15	topological	topological	ADJ
ejpam-6513	118	16	space	space	NOUN
ejpam-6513	118	17	(	(	PUNCT
ejpam-6513	118	18	s	s	PROPN
ejpam-6513	118	19	,	,	PUNCT
ejpam-6513	118	20	υ	υ	NOUN
ejpam-6513	118	21	,	,	PUNCT
ejpam-6513	118	22	a	a	PRON
ejpam-6513	118	23	)	)	PUNCT
ejpam-6513	118	24	is	be	AUX
ejpam-6513	118	25	called	call	VERB
ejpam-6513	118	26	a	a	DET
ejpam-6513	118	27	d	d	ADJ
ejpam-6513	118	28	-	-	ADJ
ejpam-6513	118	29	soft	soft	ADJ
ejpam-6513	118	30	set	set	NOUN
ejpam-6513	118	31	if	if	SCONJ
ejpam-6513	118	32	there	there	PRON
ejpam-6513	118	33	exist	exist	VERB
ejpam-6513	118	34	two	two	NUM
ejpam-6513	118	35	soft	soft	ADJ
ejpam-6513	118	36	open	open	ADJ
ejpam-6513	118	37	sets	set	NOUN
ejpam-6513	118	38	(	(	PUNCT
ejpam-6513	118	39	u	u	NOUN
ejpam-6513	118	40	,	,	PUNCT
ejpam-6513	118	41	a	a	PRON
ejpam-6513	118	42	)	)	PUNCT
ejpam-6513	118	43	and	and	CCONJ
ejpam-6513	118	44	(	(	PUNCT
ejpam-6513	118	45	v	v	NOUN
ejpam-6513	118	46	,	,	PUNCT
ejpam-6513	118	47	a	a	PRON
ejpam-6513	118	48	)	)	PUNCT
ejpam-6513	118	49	in	in	ADP
ejpam-6513	118	50	υ	υ	PRON
ejpam-6513	118	51	such	such	ADJ
ejpam-6513	118	52	that	that	SCONJ
ejpam-6513	118	53	u	u	PROPN
ejpam-6513	118	54	̸=	̸=	PROPN
ejpam-6513	118	55	s	s	PART
ejpam-6513	118	56	and	and	CCONJ
ejpam-6513	118	57	f	f	PROPN
ejpam-6513	118	58	⊂	⊂	PROPN
ejpam-6513	118	59	(	(	PUNCT
ejpam-6513	118	60	u	u	NOUN
ejpam-6513	118	61	,	,	PUNCT
ejpam-6513	118	62	a)−	a)−	PROPN
ejpam-6513	118	63	(	(	PUNCT
ejpam-6513	118	64	v	v	NOUN
ejpam-6513	118	65	,	,	PUNCT
ejpam-6513	118	66	a	a	PRON
ejpam-6513	118	67	)	)	PUNCT
ejpam-6513	118	68	.	.	PUNCT
ejpam-6513	119	1	j.	j.	PROPN
ejpam-6513	119	2	oudetallah	oudetallah	PROPN
ejpam-6513	119	3	et	et	PROPN
ejpam-6513	119	4	al	al	PROPN
ejpam-6513	119	5	.	.	PUNCT
ejpam-6513	119	6	/	/	SYM
ejpam-6513	119	7	eur	eur	PROPN
ejpam-6513	119	8	.	.	PUNCT
ejpam-6513	120	1	j.	j.	PROPN
ejpam-6513	120	2	pure	pure	PROPN
ejpam-6513	120	3	appl	appl	PROPN
ejpam-6513	120	4	.	.	PROPN
ejpam-6513	120	5	math	math	PROPN
ejpam-6513	120	6	,	,	PUNCT
ejpam-6513	120	7	18	18	NUM
ejpam-6513	120	8	(	(	PUNCT
ejpam-6513	120	9	3	3	NUM
ejpam-6513	120	10	)	)	PUNCT
ejpam-6513	120	11	(	(	PUNCT
ejpam-6513	120	12	2025	2025	NUM
ejpam-6513	120	13	)	)	PUNCT
ejpam-6513	120	14	,	,	PUNCT
ejpam-6513	120	15	6513	6513	NUM
ejpam-6513	120	16	6	6	NUM
ejpam-6513	120	17	of	of	ADP
ejpam-6513	120	18	14	14	NUM
ejpam-6513	120	19	remark	remark	NOUN
ejpam-6513	120	20	1	1	NUM
ejpam-6513	120	21	.	.	PUNCT
ejpam-6513	121	1	[	[	X
ejpam-6513	121	2	23	23	NUM
ejpam-6513	121	3	]	]	PUNCT
ejpam-6513	121	4	every	every	DET
ejpam-6513	121	5	soft	soft	ADJ
ejpam-6513	121	6	-	-	PUNCT
ejpam-6513	121	7	open	open	ADJ
ejpam-6513	121	8	set	set	NOUN
ejpam-6513	121	9	is	be	AUX
ejpam-6513	121	10	a	a	DET
ejpam-6513	121	11	d	d	ADJ
ejpam-6513	121	12	-	-	ADJ
ejpam-6513	121	13	soft	soft	ADJ
ejpam-6513	121	14	set	set	NOUN
ejpam-6513	121	15	.	.	PUNCT
ejpam-6513	122	1	however	however	ADV
ejpam-6513	122	2	,	,	PUNCT
ejpam-6513	122	3	as	as	ADP
ejpam-6513	122	4	the	the	DET
ejpam-6513	122	5	following	follow	VERB
ejpam-6513	122	6	example	example	NOUN
ejpam-6513	122	7	shows	show	VERB
ejpam-6513	122	8	,	,	PUNCT
ejpam-6513	122	9	the	the	DET
ejpam-6513	122	10	converse	converse	NOUN
ejpam-6513	122	11	of	of	ADP
ejpam-6513	122	12	remark	remark	NOUN
ejpam-6513	122	13	2.1	2.1	NUM
ejpam-6513	122	14	is	be	AUX
ejpam-6513	122	15	not	not	PART
ejpam-6513	122	16	true	true	ADJ
ejpam-6513	122	17	in	in	ADP
ejpam-6513	122	18	general	general	ADJ
ejpam-6513	122	19	.	.	PUNCT
ejpam-6513	123	1	definition	definition	NOUN
ejpam-6513	123	2	8	8	NUM
ejpam-6513	123	3	.	.	PUNCT
ejpam-6513	124	1	[	[	X
ejpam-6513	124	2	21	21	NUM
ejpam-6513	124	3	]	]	X
ejpam-6513	124	4	let	let	VERB
ejpam-6513	124	5	(	(	PUNCT
ejpam-6513	124	6	s	s	X
ejpam-6513	124	7	,	,	PUNCT
ejpam-6513	124	8	υ	υ	NOUN
ejpam-6513	124	9	)	)	PUNCT
ejpam-6513	124	10	be	be	AUX
ejpam-6513	124	11	a	a	DET
ejpam-6513	124	12	topological	topological	ADJ
ejpam-6513	124	13	space	space	NOUN
ejpam-6513	124	14	.	.	PUNCT
ejpam-6513	125	1	a	a	DET
ejpam-6513	125	2	cover	cover	NOUN
ejpam-6513	125	3	u	u	NOUN
ejpam-6513	125	4	=	=	PUNCT
ejpam-6513	125	5	{	{	PUNCT
ejpam-6513	125	6	uγ	uγ	ADV
ejpam-6513	125	7	:	:	PUNCT
ejpam-6513	125	8	γ	γ	PROPN
ejpam-6513	125	9	∈	∈	PROPN
ejpam-6513	125	10	γ	γ	X
ejpam-6513	125	11	}	}	PUNCT
ejpam-6513	125	12	of	of	ADP
ejpam-6513	125	13	s	s	PROPN
ejpam-6513	125	14	is	be	AUX
ejpam-6513	125	15	called	call	VERB
ejpam-6513	125	16	a	a	DET
ejpam-6513	125	17	d	d	NOUN
ejpam-6513	125	18	-	-	NOUN
ejpam-6513	125	19	cover	cover	VERB
ejpam-6513	125	20	if	if	SCONJ
ejpam-6513	125	21	every	every	DET
ejpam-6513	125	22	uγ	uγ	NOUN
ejpam-6513	125	23	is	be	AUX
ejpam-6513	125	24	a	a	DET
ejpam-6513	125	25	d	d	NOUN
ejpam-6513	125	26	-	-	PUNCT
ejpam-6513	125	27	set	set	ADJ
ejpam-6513	125	28	for	for	ADP
ejpam-6513	125	29	all	all	DET
ejpam-6513	125	30	γ	γ	PROPN
ejpam-6513	125	31	∈	∈	PROPN
ejpam-6513	125	32	γ	γ	X
ejpam-6513	125	33	.	.	PROPN
ejpam-6513	125	34	definition	definition	NOUN
ejpam-6513	125	35	9	9	NUM
ejpam-6513	125	36	.	.	PUNCT
ejpam-6513	126	1	[	[	X
ejpam-6513	126	2	21	21	NUM
ejpam-6513	126	3	]	]	X
ejpam-6513	126	4	a	a	DET
ejpam-6513	126	5	topological	topological	ADJ
ejpam-6513	126	6	space	space	NOUN
ejpam-6513	126	7	(	(	PUNCT
ejpam-6513	126	8	s	s	X
ejpam-6513	126	9	,	,	PUNCT
ejpam-6513	126	10	υ	υ	NOUN
ejpam-6513	126	11	)	)	PUNCT
ejpam-6513	126	12	is	be	AUX
ejpam-6513	126	13	called	call	VERB
ejpam-6513	126	14	d	d	ADJ
ejpam-6513	126	15	-	-	ADJ
ejpam-6513	126	16	compact	compact	ADJ
ejpam-6513	126	17	if	if	SCONJ
ejpam-6513	126	18	every	every	PRON
ejpam-6513	126	19	d	d	NOUN
ejpam-6513	126	20	-	-	PUNCT
ejpam-6513	126	21	cover	cover	NOUN
ejpam-6513	126	22	has	have	VERB
ejpam-6513	126	23	a	a	DET
ejpam-6513	126	24	finite	finite	ADJ
ejpam-6513	126	25	subcover	subcover	PROPN
ejpam-6513	126	26	.	.	PUNCT
ejpam-6513	127	1	definition	definition	NOUN
ejpam-6513	127	2	10	10	NUM
ejpam-6513	127	3	.	.	PUNCT
ejpam-6513	128	1	[	[	X
ejpam-6513	128	2	22	22	NUM
ejpam-6513	128	3	]	]	PUNCT
ejpam-6513	128	4	the	the	DET
ejpam-6513	128	5	topological	topological	ADJ
ejpam-6513	128	6	space	space	NOUN
ejpam-6513	128	7	(	(	PUNCT
ejpam-6513	128	8	s	s	X
ejpam-6513	128	9	,	,	PUNCT
ejpam-6513	128	10	υ	υ	NOUN
ejpam-6513	128	11	)	)	PUNCT
ejpam-6513	128	12	is	be	AUX
ejpam-6513	128	13	called	call	VERB
ejpam-6513	128	14	locally	locally	ADV
ejpam-6513	128	15	indiscrete	indiscrete	ADJ
ejpam-6513	128	16	if	if	SCONJ
ejpam-6513	128	17	every	every	DET
ejpam-6513	128	18	open	open	ADJ
ejpam-6513	128	19	set	set	NOUN
ejpam-6513	128	20	in	in	ADP
ejpam-6513	128	21	υ	υ	PROPN
ejpam-6513	128	22	is	be	AUX
ejpam-6513	128	23	a	a	DET
ejpam-6513	128	24	clopen	clopen	ADJ
ejpam-6513	128	25	set	set	NOUN
ejpam-6513	128	26	.	.	PUNCT
ejpam-6513	129	1	definition	definition	NOUN
ejpam-6513	129	2	11	11	NUM
ejpam-6513	129	3	.	.	PUNCT
ejpam-6513	130	1	[	[	X
ejpam-6513	130	2	19	19	NUM
ejpam-6513	130	3	]	]	PUNCT
ejpam-6513	130	4	a	a	DET
ejpam-6513	130	5	soft	soft	ADJ
ejpam-6513	130	6	topological	topological	ADJ
ejpam-6513	130	7	space	space	NOUN
ejpam-6513	130	8	(	(	PUNCT
ejpam-6513	130	9	s	s	PROPN
ejpam-6513	130	10	,	,	PUNCT
ejpam-6513	130	11	υ	υ	NOUN
ejpam-6513	130	12	,	,	PUNCT
ejpam-6513	130	13	a	a	PRON
ejpam-6513	130	14	)	)	PUNCT
ejpam-6513	130	15	is	be	AUX
ejpam-6513	130	16	called	call	VERB
ejpam-6513	130	17	soft	soft	ADJ
ejpam-6513	130	18	locally	locally	ADV
ejpam-6513	130	19	indiscrete	indiscrete	ADJ
ejpam-6513	130	20	if	if	SCONJ
ejpam-6513	130	21	every	every	DET
ejpam-6513	130	22	soft	soft	ADJ
ejpam-6513	130	23	open	open	ADJ
ejpam-6513	130	24	set	set	NOUN
ejpam-6513	130	25	in	in	ADP
ejpam-6513	130	26	(	(	PUNCT
ejpam-6513	130	27	υ	υ	NOUN
ejpam-6513	130	28	,	,	PUNCT
ejpam-6513	130	29	a	a	PRON
ejpam-6513	130	30	)	)	PUNCT
ejpam-6513	130	31	is	be	AUX
ejpam-6513	130	32	a	a	DET
ejpam-6513	130	33	soft	soft	ADJ
ejpam-6513	130	34	clopen	clopen	ADJ
ejpam-6513	130	35	set	set	NOUN
ejpam-6513	130	36	.	.	PUNCT
ejpam-6513	131	1	3	3	X
ejpam-6513	131	2	.	.	X
ejpam-6513	131	3	main	main	ADJ
ejpam-6513	131	4	results	result	NOUN
ejpam-6513	131	5	the	the	DET
ejpam-6513	131	6	notion	notion	NOUN
ejpam-6513	131	7	of	of	ADP
ejpam-6513	131	8	d	d	NOUN
ejpam-6513	131	9	-	-	ADJ
ejpam-6513	131	10	soft	soft	ADJ
ejpam-6513	131	11	compactness	compactness	NOUN
ejpam-6513	131	12	in	in	ADP
ejpam-6513	131	13	soft	soft	ADJ
ejpam-6513	131	14	topological	topological	ADJ
ejpam-6513	131	15	spaces	space	NOUN
ejpam-6513	131	16	is	be	AUX
ejpam-6513	131	17	presented	present	VERB
ejpam-6513	131	18	in	in	ADP
ejpam-6513	131	19	this	this	DET
ejpam-6513	131	20	section	section	NOUN
ejpam-6513	131	21	along	along	ADP
ejpam-6513	131	22	with	with	ADP
ejpam-6513	131	23	some	some	PRON
ejpam-6513	131	24	of	of	ADP
ejpam-6513	131	25	its	its	PRON
ejpam-6513	131	26	properties	property	NOUN
ejpam-6513	131	27	and	and	CCONJ
ejpam-6513	131	28	its	its	PRON
ejpam-6513	131	29	relations	relation	NOUN
ejpam-6513	131	30	with	with	ADP
ejpam-6513	131	31	other	other	ADJ
ejpam-6513	131	32	spaces	space	NOUN
ejpam-6513	131	33	.	.	PUNCT
ejpam-6513	132	1	our	our	PRON
ejpam-6513	132	2	approach	approach	NOUN
ejpam-6513	132	3	builds	build	VERB
ejpam-6513	132	4	upon	upon	SCONJ
ejpam-6513	132	5	the	the	DET
ejpam-6513	132	6	extensive	extensive	ADJ
ejpam-6513	132	7	work	work	NOUN
ejpam-6513	132	8	on	on	ADP
ejpam-6513	132	9	d	d	NOUN
ejpam-6513	132	10	-	-	PUNCT
ejpam-6513	132	11	compactness	compactness	NOUN
ejpam-6513	132	12	and	and	CCONJ
ejpam-6513	132	13	related	related	ADJ
ejpam-6513	132	14	concepts	concept	NOUN
ejpam-6513	132	15	in	in	ADP
ejpam-6513	132	16	classical	classical	ADJ
ejpam-6513	132	17	topology	topology	NOUN
ejpam-6513	133	1	[	[	X
ejpam-6513	133	2	24	24	NUM
ejpam-6513	133	3	,	,	PUNCT
ejpam-6513	133	4	25	25	NUM
ejpam-6513	133	5	]	]	PUNCT
ejpam-6513	133	6	,	,	PUNCT
ejpam-6513	133	7	adapting	adapt	VERB
ejpam-6513	133	8	these	these	DET
ejpam-6513	133	9	ideas	idea	NOUN
ejpam-6513	133	10	to	to	ADP
ejpam-6513	133	11	the	the	DET
ejpam-6513	133	12	soft	soft	ADJ
ejpam-6513	133	13	topological	topological	ADJ
ejpam-6513	133	14	framework	framework	NOUN
ejpam-6513	133	15	.	.	PUNCT
ejpam-6513	133	16	example	example	NOUN
ejpam-6513	134	1	1	1	NUM
ejpam-6513	134	2	.	.	PUNCT
ejpam-6513	134	3	let	let	VERB
ejpam-6513	134	4	s	s	VERB
ejpam-6513	134	5	=	=	PUNCT
ejpam-6513	134	6	{	{	PUNCT
ejpam-6513	134	7	4	4	NUM
ejpam-6513	134	8	,	,	PUNCT
ejpam-6513	134	9	5	5	NUM
ejpam-6513	134	10	,	,	PUNCT
ejpam-6513	134	11	7	7	NUM
ejpam-6513	134	12	}	}	PUNCT
ejpam-6513	134	13	and	and	CCONJ
ejpam-6513	134	14	a	a	DET
ejpam-6513	134	15	=	=	X
ejpam-6513	134	16	{	{	PUNCT
ejpam-6513	134	17	a1	a1	PROPN
ejpam-6513	134	18	,	,	PUNCT
ejpam-6513	134	19	a2	a2	PROPN
ejpam-6513	134	20	}	}	PUNCT
ejpam-6513	134	21	such	such	ADJ
ejpam-6513	134	22	that	that	DET
ejpam-6513	134	23	a1	a1	NOUN
ejpam-6513	134	24	=	=	NOUN
ejpam-6513	134	25	“	"	PUNCT
ejpam-6513	134	26	even	even	ADV
ejpam-6513	134	27	number	number	NOUN
ejpam-6513	134	28	”	"	PUNCT
ejpam-6513	134	29	,	,	PUNCT
ejpam-6513	134	30	a2	a2	PROPN
ejpam-6513	134	31	=	=	NOUN
ejpam-6513	134	32	“	"	PUNCT
ejpam-6513	134	33	odd	odd	ADJ
ejpam-6513	134	34	numbers	number	NOUN
ejpam-6513	134	35	”	"	PUNCT
ejpam-6513	134	36	.	.	PUNCT
ejpam-6513	134	37	suppose	suppose	VERB
ejpam-6513	134	38	that	that	SCONJ
ejpam-6513	134	39	t	t	PROPN
ejpam-6513	134	40	(	(	PUNCT
ejpam-6513	134	41	a1	a1	PROPN
ejpam-6513	134	42	)	)	PUNCT
ejpam-6513	134	43	=	=	PUNCT
ejpam-6513	134	44	{	{	PUNCT
ejpam-6513	134	45	4	4	NUM
ejpam-6513	134	46	}	}	PUNCT
ejpam-6513	134	47	,	,	PUNCT
ejpam-6513	134	48	t	t	PROPN
ejpam-6513	134	49	(	(	PUNCT
ejpam-6513	134	50	a2	a2	PROPN
ejpam-6513	134	51	)	)	PUNCT
ejpam-6513	134	52	=	=	PUNCT
ejpam-6513	134	53	{	{	PUNCT
ejpam-6513	134	54	5	5	NUM
ejpam-6513	134	55	,	,	PUNCT
ejpam-6513	134	56	7	7	NUM
ejpam-6513	134	57	}	}	PUNCT
ejpam-6513	134	58	,	,	PUNCT
ejpam-6513	134	59	then	then	ADV
ejpam-6513	134	60	the	the	DET
ejpam-6513	134	61	collection	collection	NOUN
ejpam-6513	134	62	(	(	PUNCT
ejpam-6513	134	63	t	t	PROPN
ejpam-6513	134	64	,	,	PUNCT
ejpam-6513	134	65	e	e	NOUN
ejpam-6513	134	66	)	)	PUNCT
ejpam-6513	134	67	=	=	SYM
ejpam-6513	134	68	{	{	PUNCT
ejpam-6513	134	69	(	(	PUNCT
ejpam-6513	134	70	a1	a1	NOUN
ejpam-6513	134	71	,	,	PUNCT
ejpam-6513	134	72	{	{	PUNCT
ejpam-6513	134	73	4	4	NUM
ejpam-6513	134	74	}	}	PUNCT
ejpam-6513	134	75	)	)	PUNCT
ejpam-6513	134	76	,	,	PUNCT
ejpam-6513	134	77	(	(	PUNCT
ejpam-6513	134	78	a2	a2	PROPN
ejpam-6513	134	79	,	,	PUNCT
ejpam-6513	134	80	{	{	PUNCT
ejpam-6513	134	81	5	5	NUM
ejpam-6513	134	82	,	,	PUNCT
ejpam-6513	134	83	7	7	NUM
ejpam-6513	134	84	}	}	PUNCT
ejpam-6513	134	85	)	)	PUNCT
ejpam-6513	134	86	}	}	PUNCT
ejpam-6513	134	87	is	be	AUX
ejpam-6513	134	88	a	a	DET
ejpam-6513	134	89	soft	soft	ADJ
ejpam-6513	134	90	set	set	NOUN
ejpam-6513	134	91	over	over	ADP
ejpam-6513	134	92	s.	s.	PROPN
ejpam-6513	134	93	example	example	NOUN
ejpam-6513	135	1	2	2	X
ejpam-6513	135	2	.	.	PUNCT
ejpam-6513	135	3	let	let	VERB
ejpam-6513	135	4	s	s	NOUN
ejpam-6513	135	5	=	=	SYM
ejpam-6513	135	6	n	n	CCONJ
ejpam-6513	135	7	,	,	PUNCT
ejpam-6513	135	8	a	a	DET
ejpam-6513	135	9	=	=	X
ejpam-6513	135	10	{	{	PUNCT
ejpam-6513	135	11	a	a	NOUN
ejpam-6513	135	12	}	}	PUNCT
ejpam-6513	135	13	and	and	CCONJ
ejpam-6513	135	14	υ	υ	NOUN
ejpam-6513	135	15	=	=	X
ejpam-6513	135	16	{	{	PUNCT
ejpam-6513	135	17	s	s	PROPN
ejpam-6513	135	18	,	,	PUNCT
ejpam-6513	135	19	ϕ	ϕ	NOUN
ejpam-6513	135	20	,	,	PUNCT
ejpam-6513	135	21	(	(	PUNCT
ejpam-6513	135	22	u	u	NOUN
ejpam-6513	135	23	,	,	PUNCT
ejpam-6513	135	24	a	a	PRON
ejpam-6513	135	25	)	)	PUNCT
ejpam-6513	135	26	}	}	PUNCT
ejpam-6513	135	27	be	be	AUX
ejpam-6513	135	28	a	a	DET
ejpam-6513	135	29	soft	soft	ADJ
ejpam-6513	135	30	topology	topology	NOUN
ejpam-6513	135	31	on	on	ADP
ejpam-6513	135	32	s	s	NOUN
ejpam-6513	135	33	,	,	PUNCT
ejpam-6513	135	34	where	where	SCONJ
ejpam-6513	135	35	the	the	DET
ejpam-6513	135	36	soft	soft	ADJ
ejpam-6513	135	37	set	set	NOUN
ejpam-6513	135	38	(	(	PUNCT
ejpam-6513	135	39	u	u	NOUN
ejpam-6513	135	40	,	,	PUNCT
ejpam-6513	135	41	a	a	PRON
ejpam-6513	135	42	)	)	PUNCT
ejpam-6513	135	43	is	be	AUX
ejpam-6513	135	44	defined	define	VERB
ejpam-6513	135	45	by	by	ADP
ejpam-6513	135	46	u(a	u(a	NOUN
ejpam-6513	135	47	)	)	PUNCT
ejpam-6513	135	48	=	=	PUNCT
ejpam-6513	135	49	{	{	PUNCT
ejpam-6513	135	50	1	1	NUM
ejpam-6513	135	51	}	}	PUNCT
ejpam-6513	135	52	.	.	PUNCT
ejpam-6513	136	1	then	then	ADV
ejpam-6513	136	2	(	(	PUNCT
ejpam-6513	136	3	u	u	NOUN
ejpam-6513	136	4	,	,	PUNCT
ejpam-6513	136	5	a	a	PRON
ejpam-6513	136	6	)	)	PUNCT
ejpam-6513	136	7	is	be	AUX
ejpam-6513	136	8	a	a	DET
ejpam-6513	136	9	d	d	ADJ
ejpam-6513	136	10	-	-	ADJ
ejpam-6513	136	11	soft	soft	ADJ
ejpam-6513	136	12	set	set	NOUN
ejpam-6513	136	13	but	but	CCONJ
ejpam-6513	136	14	not	not	PART
ejpam-6513	136	15	a	a	DET
ejpam-6513	136	16	soft	soft	ADJ
ejpam-6513	136	17	open	open	ADJ
ejpam-6513	136	18	set	set	NOUN
ejpam-6513	136	19	.	.	PUNCT
ejpam-6513	137	1	to	to	PART
ejpam-6513	137	2	see	see	VERB
ejpam-6513	137	3	this	this	PRON
ejpam-6513	137	4	,	,	PUNCT
ejpam-6513	137	5	take	take	VERB
ejpam-6513	137	6	the	the	DET
ejpam-6513	137	7	soft	soft	ADJ
ejpam-6513	137	8	open	open	ADJ
ejpam-6513	137	9	sets	set	NOUN
ejpam-6513	137	10	(	(	PUNCT
ejpam-6513	137	11	w	w	NOUN
ejpam-6513	137	12	,	,	PUNCT
ejpam-6513	137	13	a	a	NOUN
ejpam-6513	137	14	)	)	PUNCT
ejpam-6513	137	15	and	and	CCONJ
ejpam-6513	137	16	(	(	PUNCT
ejpam-6513	137	17	v	v	NOUN
ejpam-6513	137	18	,	,	PUNCT
ejpam-6513	137	19	a	a	NOUN
ejpam-6513	137	20	)	)	PUNCT
ejpam-6513	138	1	where	where	SCONJ
ejpam-6513	138	2	w	w	X
ejpam-6513	138	3	(	(	PUNCT
ejpam-6513	138	4	a	a	NOUN
ejpam-6513	138	5	)	)	PUNCT
ejpam-6513	138	6	=	=	SYM
ejpam-6513	138	7	s	s	PROPN
ejpam-6513	138	8	and	and	CCONJ
ejpam-6513	138	9	v	v	NOUN
ejpam-6513	138	10	(	(	PUNCT
ejpam-6513	138	11	a	a	NOUN
ejpam-6513	138	12	)	)	PUNCT
ejpam-6513	138	13	=	=	SYM
ejpam-6513	138	14	s	s	PART
ejpam-6513	138	15	−	−	NOUN
ejpam-6513	138	16	{	{	PUNCT
ejpam-6513	138	17	1	1	NUM
ejpam-6513	138	18	}	}	PUNCT
ejpam-6513	138	19	.	.	PUNCT
ejpam-6513	139	1	then	then	ADV
ejpam-6513	139	2	(	(	PUNCT
ejpam-6513	139	3	u	u	NOUN
ejpam-6513	139	4	,	,	PUNCT
ejpam-6513	139	5	a	a	PRON
ejpam-6513	139	6	)	)	PUNCT
ejpam-6513	139	7	=	=	SYM
ejpam-6513	139	8	(	(	PUNCT
ejpam-6513	139	9	w	w	PROPN
ejpam-6513	139	10	,	,	PUNCT
ejpam-6513	139	11	a	a	NOUN
ejpam-6513	139	12	)	)	PUNCT
ejpam-6513	139	13	−	−	PROPN
ejpam-6513	139	14	(	(	PUNCT
ejpam-6513	139	15	v	v	NOUN
ejpam-6513	139	16	,	,	PUNCT
ejpam-6513	139	17	a	a	PRON
ejpam-6513	139	18	)	)	PUNCT
ejpam-6513	139	19	,	,	PUNCT
ejpam-6513	139	20	showing	show	VERB
ejpam-6513	139	21	it	it	PRON
ejpam-6513	139	22	is	be	AUX
ejpam-6513	139	23	a	a	DET
ejpam-6513	139	24	d	d	ADJ
ejpam-6513	139	25	-	-	ADJ
ejpam-6513	139	26	soft	soft	ADJ
ejpam-6513	139	27	set	set	NOUN
ejpam-6513	139	28	.	.	PUNCT
ejpam-6513	140	1	however	however	ADV
ejpam-6513	140	2	,	,	PUNCT
ejpam-6513	140	3	(	(	PUNCT
ejpam-6513	140	4	u	u	NOUN
ejpam-6513	140	5	,	,	PUNCT
ejpam-6513	140	6	a	a	PRON
ejpam-6513	140	7	)	)	PUNCT
ejpam-6513	140	8	/∈	/∈	PUNCT
ejpam-6513	141	1	υ	υ	INTJ
ejpam-6513	141	2	,	,	PUNCT
ejpam-6513	141	3	so	so	SCONJ
ejpam-6513	141	4	it	it	PRON
ejpam-6513	141	5	is	be	AUX
ejpam-6513	141	6	not	not	PART
ejpam-6513	141	7	soft	soft	ADJ
ejpam-6513	141	8	open	open	ADJ
ejpam-6513	141	9	.	.	PUNCT
ejpam-6513	142	1	definition	definition	NOUN
ejpam-6513	142	2	12	12	NUM
ejpam-6513	142	3	.	.	PUNCT
ejpam-6513	143	1	a	a	DET
ejpam-6513	143	2	soft	soft	ADJ
ejpam-6513	143	3	cover	cover	NOUN
ejpam-6513	143	4	(	(	PUNCT
ejpam-6513	143	5	u	u	NOUN
ejpam-6513	143	6	,	,	PUNCT
ejpam-6513	143	7	a	a	PRON
ejpam-6513	143	8	)	)	PUNCT
ejpam-6513	143	9	=	=	SYM
ejpam-6513	143	10	{	{	PUNCT
ejpam-6513	143	11	(	(	PUNCT
ejpam-6513	143	12	uγ	uγ	ADV
ejpam-6513	143	13	,	,	PUNCT
ejpam-6513	143	14	a	a	PRON
ejpam-6513	143	15	)	)	PUNCT
ejpam-6513	143	16	:	:	PUNCT
ejpam-6513	143	17	γ	γ	PROPN
ejpam-6513	143	18	∈	∈	PROPN
ejpam-6513	143	19	γ	γ	X
ejpam-6513	143	20	}	}	PUNCT
ejpam-6513	143	21	of	of	ADP
ejpam-6513	143	22	a	a	DET
ejpam-6513	143	23	soft	soft	ADJ
ejpam-6513	143	24	topological	topological	ADJ
ejpam-6513	143	25	space	space	NOUN
ejpam-6513	143	26	(	(	PUNCT
ejpam-6513	143	27	s	s	PROPN
ejpam-6513	143	28	,	,	PUNCT
ejpam-6513	143	29	υ	υ	NOUN
ejpam-6513	143	30	,	,	PUNCT
ejpam-6513	143	31	a	a	PRON
ejpam-6513	143	32	)	)	PUNCT
ejpam-6513	143	33	is	be	AUX
ejpam-6513	143	34	called	call	VERB
ejpam-6513	143	35	a	a	DET
ejpam-6513	143	36	d	d	ADJ
ejpam-6513	143	37	-	-	ADJ
ejpam-6513	143	38	soft	soft	ADJ
ejpam-6513	143	39	cover	cover	NOUN
ejpam-6513	143	40	if	if	SCONJ
ejpam-6513	143	41	(	(	PUNCT
ejpam-6513	143	42	uγ	uγ	INTJ
ejpam-6513	143	43	,	,	PUNCT
ejpam-6513	143	44	a	a	PRON
ejpam-6513	143	45	)	)	PUNCT
ejpam-6513	143	46	is	be	AUX
ejpam-6513	143	47	a	a	DET
ejpam-6513	143	48	d	d	ADJ
ejpam-6513	143	49	-	-	ADJ
ejpam-6513	143	50	soft	soft	ADJ
ejpam-6513	143	51	set	set	NOUN
ejpam-6513	143	52	for	for	ADP
ejpam-6513	143	53	every	every	DET
ejpam-6513	143	54	γ	γ	PROPN
ejpam-6513	143	55	∈	∈	PROPN
ejpam-6513	143	56	γ	γ	X
ejpam-6513	143	57	.	.	PUNCT
ejpam-6513	144	1	every	every	DET
ejpam-6513	144	2	soft	soft	ADJ
ejpam-6513	144	3	-	-	PUNCT
ejpam-6513	144	4	open	open	ADJ
ejpam-6513	144	5	cover	cover	NOUN
ejpam-6513	144	6	is	be	AUX
ejpam-6513	144	7	clearly	clearly	ADV
ejpam-6513	144	8	a	a	DET
ejpam-6513	144	9	d	d	ADJ
ejpam-6513	144	10	-	-	ADJ
ejpam-6513	144	11	soft	soft	ADJ
ejpam-6513	144	12	cover	cover	NOUN
ejpam-6513	144	13	,	,	PUNCT
ejpam-6513	144	14	but	but	CCONJ
ejpam-6513	144	15	the	the	DET
ejpam-6513	144	16	converse	converse	NOUN
ejpam-6513	144	17	is	be	AUX
ejpam-6513	144	18	not	not	PART
ejpam-6513	144	19	true	true	ADJ
ejpam-6513	144	20	in	in	ADP
ejpam-6513	144	21	general	general	ADJ
ejpam-6513	144	22	.	.	PUNCT
ejpam-6513	145	1	for	for	ADP
ejpam-6513	145	2	example	example	NOUN
ejpam-6513	145	3	,	,	PUNCT
ejpam-6513	145	4	in	in	ADP
ejpam-6513	145	5	the	the	DET
ejpam-6513	145	6	soft	soft	ADJ
ejpam-6513	145	7	topological	topological	ADJ
ejpam-6513	145	8	space	space	NOUN
ejpam-6513	145	9	(	(	PUNCT
ejpam-6513	145	10	r	r	NOUN
ejpam-6513	145	11	,	,	PUNCT
ejpam-6513	145	12	υcof	υcof	NOUN
ejpam-6513	145	13	,	,	PUNCT
ejpam-6513	145	14	a	a	PRON
ejpam-6513	145	15	=	=	X
ejpam-6513	145	16	{	{	PUNCT
ejpam-6513	145	17	a	a	NOUN
ejpam-6513	145	18	}	}	PUNCT
ejpam-6513	145	19	)	)	PUNCT
ejpam-6513	145	20	,	,	PUNCT
ejpam-6513	145	21	the	the	DET
ejpam-6513	145	22	collection	collection	NOUN
ejpam-6513	145	23	(	(	PUNCT
ejpam-6513	145	24	u	u	NOUN
ejpam-6513	145	25	,	,	PUNCT
ejpam-6513	145	26	a	a	PRON
ejpam-6513	145	27	)	)	PUNCT
ejpam-6513	145	28	=	=	SYM
ejpam-6513	145	29	{	{	PUNCT
ejpam-6513	145	30	(	(	PUNCT
ejpam-6513	145	31	a	a	PRON
ejpam-6513	145	32	,	,	PUNCT
ejpam-6513	145	33	{	{	PUNCT
ejpam-6513	145	34	n	n	CCONJ
ejpam-6513	145	35	}	}	PUNCT
ejpam-6513	145	36	)	)	PUNCT
ejpam-6513	145	37	:	:	PUNCT
ejpam-6513	145	38	n	n	X
ejpam-6513	145	39	∈	∈	NOUN
ejpam-6513	145	40	r	r	NOUN
ejpam-6513	145	41	}	}	PUNCT
ejpam-6513	145	42	is	be	AUX
ejpam-6513	145	43	a	a	DET
ejpam-6513	145	44	d	d	ADJ
ejpam-6513	145	45	-	-	ADJ
ejpam-6513	145	46	soft	soft	ADJ
ejpam-6513	145	47	cover	cover	NOUN
ejpam-6513	145	48	that	that	PRON
ejpam-6513	145	49	is	be	AUX
ejpam-6513	145	50	not	not	PART
ejpam-6513	145	51	a	a	DET
ejpam-6513	145	52	soft	soft	ADJ
ejpam-6513	145	53	open	open	ADJ
ejpam-6513	145	54	cover	cover	NOUN
ejpam-6513	145	55	.	.	PUNCT
ejpam-6513	146	1	definition	definition	NOUN
ejpam-6513	146	2	13	13	NUM
ejpam-6513	146	3	.	.	PUNCT
ejpam-6513	147	1	the	the	DET
ejpam-6513	147	2	soft	soft	ADJ
ejpam-6513	147	3	topological	topological	ADJ
ejpam-6513	147	4	space	space	NOUN
ejpam-6513	147	5	(	(	PUNCT
ejpam-6513	147	6	s	s	PROPN
ejpam-6513	147	7	,	,	PUNCT
ejpam-6513	147	8	υ	υ	NOUN
ejpam-6513	147	9	,	,	PUNCT
ejpam-6513	147	10	a	a	PRON
ejpam-6513	147	11	)	)	PUNCT
ejpam-6513	147	12	is	be	AUX
ejpam-6513	147	13	called	call	VERB
ejpam-6513	147	14	d	d	ADJ
ejpam-6513	147	15	-	-	ADJ
ejpam-6513	147	16	soft	soft	ADJ
ejpam-6513	147	17	compact	compact	NOUN
ejpam-6513	147	18	if	if	SCONJ
ejpam-6513	147	19	every	every	DET
ejpam-6513	147	20	d	d	ADJ
ejpam-6513	147	21	-	-	ADJ
ejpam-6513	147	22	soft	soft	ADJ
ejpam-6513	147	23	cover	cover	NOUN
ejpam-6513	147	24	of	of	ADP
ejpam-6513	147	25	s	s	PROPN
ejpam-6513	147	26	has	have	VERB
ejpam-6513	147	27	a	a	DET
ejpam-6513	147	28	finite	finite	ADJ
ejpam-6513	147	29	soft	soft	ADJ
ejpam-6513	147	30	-	-	PUNCT
ejpam-6513	147	31	subcover	subcover	NOUN
ejpam-6513	147	32	.	.	PUNCT
ejpam-6513	148	1	j.	j.	PROPN
ejpam-6513	148	2	oudetallah	oudetallah	PROPN
ejpam-6513	148	3	et	et	PROPN
ejpam-6513	148	4	al	al	PROPN
ejpam-6513	148	5	.	.	PUNCT
ejpam-6513	148	6	/	/	SYM
ejpam-6513	148	7	eur	eur	PROPN
ejpam-6513	148	8	.	.	PUNCT
ejpam-6513	149	1	j.	j.	PROPN
ejpam-6513	149	2	pure	pure	PROPN
ejpam-6513	149	3	appl	appl	PROPN
ejpam-6513	149	4	.	.	PROPN
ejpam-6513	149	5	math	math	PROPN
ejpam-6513	149	6	,	,	PUNCT
ejpam-6513	149	7	18	18	NUM
ejpam-6513	149	8	(	(	PUNCT
ejpam-6513	149	9	3	3	NUM
ejpam-6513	149	10	)	)	PUNCT
ejpam-6513	149	11	(	(	PUNCT
ejpam-6513	149	12	2025	2025	NUM
ejpam-6513	149	13	)	)	PUNCT
ejpam-6513	149	14	,	,	PUNCT
ejpam-6513	149	15	6513	6513	NUM
ejpam-6513	149	16	7	7	NUM
ejpam-6513	149	17	of	of	ADP
ejpam-6513	149	18	14	14	NUM
ejpam-6513	149	19	figure	figure	NOUN
ejpam-6513	149	20	1	1	NUM
ejpam-6513	149	21	:	:	PUNCT
ejpam-6513	149	22	the	the	DET
ejpam-6513	149	23	space	space	NOUN
ejpam-6513	149	24	of	of	ADP
ejpam-6513	149	25	d	d	NOUN
ejpam-6513	149	26	-	-	ADJ
ejpam-6513	149	27	soft	soft	ADJ
ejpam-6513	149	28	compact	compact	ADJ
ejpam-6513	149	29	.	.	PUNCT
ejpam-6513	150	1	figure	figure	NOUN
ejpam-6513	150	2	1	1	NUM
ejpam-6513	150	3	shows	show	VERB
ejpam-6513	150	4	the	the	DET
ejpam-6513	150	5	d	d	ADJ
ejpam-6513	150	6	-	-	ADJ
ejpam-6513	150	7	soft	soft	ADJ
ejpam-6513	150	8	compact	compact	ADJ
ejpam-6513	150	9	space	space	NOUN
ejpam-6513	150	10	for	for	ADP
ejpam-6513	150	11	which	which	PRON
ejpam-6513	150	12	(	(	PUNCT
ejpam-6513	150	13	u	u	NOUN
ejpam-6513	150	14	,	,	PUNCT
ejpam-6513	150	15	a	a	PRON
ejpam-6513	150	16	)	)	PUNCT
ejpam-6513	150	17	=	=	SYM
ejpam-6513	150	18	{	{	PUNCT
ejpam-6513	150	19	(	(	PUNCT
ejpam-6513	150	20	uγ	uγ	ADV
ejpam-6513	150	21	,	,	PUNCT
ejpam-6513	150	22	a	a	PRON
ejpam-6513	150	23	)	)	PUNCT
ejpam-6513	150	24	:	:	PUNCT
ejpam-6513	150	25	γ	γ	PROPN
ejpam-6513	150	26	∈	∈	PROPN
ejpam-6513	150	27	γ	γ	X
ejpam-6513	150	28	}	}	PUNCT
ejpam-6513	150	29	is	be	AUX
ejpam-6513	150	30	d	d	ADJ
ejpam-6513	150	31	-	-	ADJ
ejpam-6513	150	32	soft	soft	ADJ
ejpam-6513	150	33	cover	cover	NOUN
ejpam-6513	150	34	of	of	ADP
ejpam-6513	150	35	the	the	DET
ejpam-6513	150	36	soft	soft	ADJ
ejpam-6513	150	37	topological	topological	ADJ
ejpam-6513	150	38	space	space	NOUN
ejpam-6513	150	39	(	(	PUNCT
ejpam-6513	150	40	s	s	PROPN
ejpam-6513	150	41	,	,	PUNCT
ejpam-6513	150	42	υ	υ	NOUN
ejpam-6513	150	43	,	,	PUNCT
ejpam-6513	150	44	a	a	PRON
ejpam-6513	150	45	)	)	PUNCT
ejpam-6513	150	46	possesses	possess	VERB
ejpam-6513	150	47	a	a	DET
ejpam-6513	150	48	finite	finite	ADJ
ejpam-6513	150	49	soft	soft	ADJ
ejpam-6513	150	50	-	-	PUNCT
ejpam-6513	150	51	subcovers	subcover	NOUN
ejpam-6513	150	52	{	{	PUNCT
ejpam-6513	150	53	(	(	PUNCT
ejpam-6513	150	54	uγ1	uγ1	ADJ
ejpam-6513	150	55	,	,	PUNCT
ejpam-6513	150	56	a1	a1	PROPN
ejpam-6513	150	57	)	)	PUNCT
ejpam-6513	150	58	,	,	PUNCT
ejpam-6513	150	59	(	(	PUNCT
ejpam-6513	150	60	uγ2	uγ2	PROPN
ejpam-6513	150	61	,	,	PUNCT
ejpam-6513	150	62	a2	a2	PROPN
ejpam-6513	150	63	)	)	PUNCT
ejpam-6513	150	64	,	,	PUNCT
ejpam-6513	150	65	.	.	PUNCT
ejpam-6513	150	66	.	.	PUNCT
ejpam-6513	151	1	.	.	PUNCT
ejpam-6513	152	1	,	,	PUNCT
ejpam-6513	152	2	(	(	PUNCT
ejpam-6513	152	3	uγn	uγn	INTJ
ejpam-6513	152	4	,	,	PUNCT
ejpam-6513	152	5	an	an	PRON
ejpam-6513	152	6	)	)	PUNCT
ejpam-6513	152	7	}	}	PUNCT
ejpam-6513	152	8	,	,	PUNCT
ejpam-6513	152	9	in	in	ADP
ejpam-6513	152	10	which	which	PRON
ejpam-6513	152	11	each	each	PRON
ejpam-6513	152	12	(	(	PUNCT
ejpam-6513	152	13	uγ	uγ	PROPN
ejpam-6513	152	14	,	,	PUNCT
ejpam-6513	152	15	a	a	PRON
ejpam-6513	152	16	)	)	PUNCT
ejpam-6513	152	17	is	be	AUX
ejpam-6513	152	18	a	a	DET
ejpam-6513	152	19	d	d	ADJ
ejpam-6513	152	20	-	-	ADJ
ejpam-6513	152	21	soft	soft	ADJ
ejpam-6513	152	22	set	set	NOUN
ejpam-6513	152	23	for	for	ADP
ejpam-6513	152	24	all	all	DET
ejpam-6513	152	25	γ	γ	PROPN
ejpam-6513	152	26	∈	∈	PROPN
ejpam-6513	152	27	γ	γ	PROPN
ejpam-6513	152	28	.	.	PROPN
ejpam-6513	152	29	example	example	NOUN
ejpam-6513	152	30	3	3	NUM
ejpam-6513	152	31	.	.	PUNCT
ejpam-6513	152	32	consider	consider	VERB
ejpam-6513	152	33	the	the	DET
ejpam-6513	152	34	following	follow	VERB
ejpam-6513	152	35	examples	example	NOUN
ejpam-6513	152	36	of	of	ADP
ejpam-6513	152	37	d	d	NOUN
ejpam-6513	152	38	-	-	ADJ
ejpam-6513	152	39	soft	soft	ADJ
ejpam-6513	152	40	compact	compact	ADJ
ejpam-6513	152	41	and	and	CCONJ
ejpam-6513	152	42	non	non	ADJ
ejpam-6513	152	43	-	-	ADJ
ejpam-6513	152	44	d	d	ADJ
ejpam-6513	152	45	-	-	PUNCT
ejpam-6513	152	46	soft	soft	ADJ
ejpam-6513	152	47	compact	compact	ADJ
ejpam-6513	152	48	spaces	space	NOUN
ejpam-6513	152	49	:	:	PUNCT
ejpam-6513	152	50	•	•	ADV
ejpam-6513	152	51	let	let	VERB
ejpam-6513	152	52	s	s	AUX
ejpam-6513	152	53	=	=	VERB
ejpam-6513	152	54	{	{	PUNCT
ejpam-6513	152	55	1	1	NUM
ejpam-6513	152	56	,	,	PUNCT
ejpam-6513	152	57	2	2	NUM
ejpam-6513	152	58	,	,	PUNCT
ejpam-6513	152	59	3	3	NUM
ejpam-6513	152	60	}	}	PUNCT
ejpam-6513	152	61	,	,	PUNCT
ejpam-6513	152	62	a	a	DET
ejpam-6513	152	63	=	=	X
ejpam-6513	152	64	{	{	PUNCT
ejpam-6513	152	65	a1	a1	PROPN
ejpam-6513	152	66	,	,	PUNCT
ejpam-6513	152	67	a2	a2	PROPN
ejpam-6513	152	68	,	,	PUNCT
ejpam-6513	152	69	a3	a3	NOUN
ejpam-6513	152	70	}	}	PUNCT
ejpam-6513	152	71	,	,	PUNCT
ejpam-6513	152	72	and	and	CCONJ
ejpam-6513	152	73	υ	υ	NOUN
ejpam-6513	152	74	=	=	PRON
ejpam-6513	152	75	{	{	PUNCT
ejpam-6513	152	76	ϕ	ϕ	PROPN
ejpam-6513	152	77	,	,	PUNCT
ejpam-6513	152	78	s	s	X
ejpam-6513	152	79	,	,	PUNCT
ejpam-6513	152	80	(	(	PUNCT
ejpam-6513	152	81	u1	u1	PROPN
ejpam-6513	152	82	,	,	PUNCT
ejpam-6513	152	83	a	a	PRON
ejpam-6513	152	84	)	)	PUNCT
ejpam-6513	152	85	,	,	PUNCT
ejpam-6513	152	86	(	(	PUNCT
ejpam-6513	152	87	u2	u2	NOUN
ejpam-6513	152	88	,	,	PUNCT
ejpam-6513	152	89	a	a	NOUN
ejpam-6513	152	90	)	)	PUNCT
ejpam-6513	152	91	}	}	PUNCT
ejpam-6513	152	92	where	where	SCONJ
ejpam-6513	152	93	(	(	PUNCT
ejpam-6513	152	94	u1	u1	NOUN
ejpam-6513	152	95	,	,	PUNCT
ejpam-6513	152	96	a	a	PRON
ejpam-6513	152	97	)	)	PUNCT
ejpam-6513	152	98	is	be	AUX
ejpam-6513	152	99	defined	define	VERB
ejpam-6513	152	100	by	by	ADP
ejpam-6513	152	101	u1(ai	u1(ai	NUM
ejpam-6513	152	102	)	)	PUNCT
ejpam-6513	152	103	=	=	PRON
ejpam-6513	152	104	{	{	PUNCT
ejpam-6513	152	105	1	1	NUM
ejpam-6513	152	106	,	,	PUNCT
ejpam-6513	152	107	2	2	NUM
ejpam-6513	152	108	}	}	PUNCT
ejpam-6513	152	109	for	for	ADP
ejpam-6513	152	110	all	all	DET
ejpam-6513	152	111	i	i	PRON
ejpam-6513	152	112	,	,	PUNCT
ejpam-6513	152	113	and	and	CCONJ
ejpam-6513	152	114	(	(	PUNCT
ejpam-6513	152	115	u2	u2	PROPN
ejpam-6513	152	116	,	,	PUNCT
ejpam-6513	152	117	a	a	PRON
ejpam-6513	152	118	)	)	PUNCT
ejpam-6513	152	119	is	be	AUX
ejpam-6513	152	120	defined	define	VERB
ejpam-6513	152	121	by	by	ADP
ejpam-6513	152	122	u2(ai	u2(ai	PROPN
ejpam-6513	152	123	)	)	PUNCT
ejpam-6513	152	124	=	=	PUNCT
ejpam-6513	152	125	{	{	PUNCT
ejpam-6513	152	126	2	2	NUM
ejpam-6513	152	127	,	,	PUNCT
ejpam-6513	152	128	3	3	NUM
ejpam-6513	152	129	}	}	PUNCT
ejpam-6513	152	130	for	for	ADP
ejpam-6513	152	131	all	all	DET
ejpam-6513	152	132	i.	i.	NOUN
ejpam-6513	152	133	then	then	ADV
ejpam-6513	152	134	(	(	PUNCT
ejpam-6513	152	135	s	s	X
ejpam-6513	152	136	,	,	PUNCT
ejpam-6513	152	137	υ	υ	NOUN
ejpam-6513	152	138	,	,	PUNCT
ejpam-6513	152	139	a	a	PRON
ejpam-6513	152	140	)	)	PUNCT
ejpam-6513	152	141	is	be	AUX
ejpam-6513	152	142	d	d	ADJ
ejpam-6513	152	143	-	-	ADJ
ejpam-6513	152	144	soft	soft	ADJ
ejpam-6513	152	145	compact	compact	NOUN
ejpam-6513	152	146	because	because	SCONJ
ejpam-6513	152	147	s	s	NOUN
ejpam-6513	152	148	is	be	AUX
ejpam-6513	152	149	finite	finite	ADJ
ejpam-6513	152	150	.	.	PUNCT
ejpam-6513	153	1	•	•	NUM
ejpam-6513	153	2	let	let	VERB
ejpam-6513	153	3	a	a	PRON
ejpam-6513	153	4	=	=	X
ejpam-6513	153	5	{	{	PUNCT
ejpam-6513	153	6	a	a	NOUN
ejpam-6513	153	7	}	}	PUNCT
ejpam-6513	153	8	and	and	CCONJ
ejpam-6513	153	9	(	(	PUNCT
ejpam-6513	153	10	r	r	NOUN
ejpam-6513	153	11	,	,	PUNCT
ejpam-6513	153	12	υ	υ	NOUN
ejpam-6513	153	13	,	,	PUNCT
ejpam-6513	153	14	a	a	PRON
ejpam-6513	153	15	)	)	PUNCT
ejpam-6513	153	16	be	be	AUX
ejpam-6513	153	17	the	the	DET
ejpam-6513	153	18	soft	soft	ADJ
ejpam-6513	153	19	usual	usual	ADJ
ejpam-6513	153	20	topological	topological	ADJ
ejpam-6513	153	21	space	space	NOUN
ejpam-6513	153	22	.	.	PUNCT
ejpam-6513	154	1	then	then	ADV
ejpam-6513	154	2	(	(	PUNCT
ejpam-6513	154	3	r	r	NOUN
ejpam-6513	154	4	,	,	PUNCT
ejpam-6513	154	5	υ	υ	NOUN
ejpam-6513	154	6	,	,	PUNCT
ejpam-6513	154	7	a	a	PRON
ejpam-6513	154	8	)	)	PUNCT
ejpam-6513	154	9	is	be	AUX
ejpam-6513	154	10	not	not	PART
ejpam-6513	154	11	d	d	ADJ
ejpam-6513	154	12	-	-	ADJ
ejpam-6513	154	13	soft	soft	ADJ
ejpam-6513	154	14	compact	compact	NOUN
ejpam-6513	154	15	.	.	PUNCT
ejpam-6513	155	1	to	to	PART
ejpam-6513	155	2	see	see	VERB
ejpam-6513	155	3	this	this	PRON
ejpam-6513	155	4	,	,	PUNCT
ejpam-6513	155	5	consider	consider	VERB
ejpam-6513	155	6	the	the	DET
ejpam-6513	155	7	d	d	ADJ
ejpam-6513	155	8	-	-	ADJ
ejpam-6513	155	9	soft	soft	ADJ
ejpam-6513	155	10	cover	cover	NOUN
ejpam-6513	155	11	(	(	PUNCT
ejpam-6513	155	12	u	u	NOUN
ejpam-6513	155	13	,	,	PUNCT
ejpam-6513	155	14	a	a	PRON
ejpam-6513	155	15	)	)	PUNCT
ejpam-6513	155	16	=	=	SYM
ejpam-6513	155	17	{	{	PUNCT
ejpam-6513	155	18	(	(	PUNCT
ejpam-6513	155	19	(	(	PUNCT
ejpam-6513	155	20	n−	n−	NOUN
ejpam-6513	155	21	1	1	NUM
ejpam-6513	155	22	,	,	PUNCT
ejpam-6513	155	23	n+1	n+1	PROPN
ejpam-6513	155	24	)	)	PUNCT
ejpam-6513	155	25	,	,	PUNCT
ejpam-6513	155	26	a	a	X
ejpam-6513	155	27	)	)	PUNCT
ejpam-6513	155	28	:	:	PUNCT
ejpam-6513	155	29	n	n	X
ejpam-6513	155	30	∈	∈	PROPN
ejpam-6513	155	31	z	z	NOUN
ejpam-6513	155	32	}	}	PUNCT
ejpam-6513	155	33	.	.	PUNCT
ejpam-6513	156	1	this	this	DET
ejpam-6513	156	2	cover	cover	NOUN
ejpam-6513	156	3	has	have	VERB
ejpam-6513	156	4	no	no	DET
ejpam-6513	156	5	finite	finite	PROPN
ejpam-6513	156	6	subcover	subcover	PROPN
ejpam-6513	156	7	,	,	PUNCT
ejpam-6513	156	8	hence	hence	ADV
ejpam-6513	156	9	(	(	PUNCT
ejpam-6513	156	10	r	r	NOUN
ejpam-6513	156	11	,	,	PUNCT
ejpam-6513	156	12	υ	υ	NOUN
ejpam-6513	156	13	,	,	PUNCT
ejpam-6513	156	14	a	a	PRON
ejpam-6513	156	15	)	)	PUNCT
ejpam-6513	156	16	is	be	AUX
ejpam-6513	156	17	not	not	PART
ejpam-6513	156	18	d	d	ADJ
ejpam-6513	156	19	-	-	ADJ
ejpam-6513	156	20	soft	soft	ADJ
ejpam-6513	156	21	compact	compact	NOUN
ejpam-6513	156	22	.	.	PUNCT
ejpam-6513	157	1	lemma	lemma	PROPN
ejpam-6513	157	2	1	1	NUM
ejpam-6513	157	3	.	.	PUNCT
ejpam-6513	158	1	in	in	ADP
ejpam-6513	158	2	a	a	DET
ejpam-6513	158	3	soft	soft	ADJ
ejpam-6513	158	4	locally	locally	ADV
ejpam-6513	158	5	indiscrete	indiscrete	ADJ
ejpam-6513	158	6	space	space	NOUN
ejpam-6513	158	7	(	(	PUNCT
ejpam-6513	158	8	s	s	X
ejpam-6513	158	9	,	,	PUNCT
ejpam-6513	158	10	υ	υ	NOUN
ejpam-6513	158	11	,	,	PUNCT
ejpam-6513	158	12	a	a	NOUN
ejpam-6513	158	13	)	)	PUNCT
ejpam-6513	158	14	,	,	PUNCT
ejpam-6513	158	15	the	the	DET
ejpam-6513	158	16	union	union	NOUN
ejpam-6513	158	17	of	of	ADP
ejpam-6513	158	18	any	any	DET
ejpam-6513	158	19	collection	collection	NOUN
ejpam-6513	158	20	of	of	ADP
ejpam-6513	158	21	d	d	ADJ
ejpam-6513	158	22	-	-	ADJ
ejpam-6513	158	23	soft	soft	ADJ
ejpam-6513	158	24	sets	set	NOUN
ejpam-6513	158	25	is	be	AUX
ejpam-6513	158	26	a	a	DET
ejpam-6513	158	27	d	d	ADJ
ejpam-6513	158	28	-	-	ADJ
ejpam-6513	158	29	soft	soft	ADJ
ejpam-6513	158	30	set	set	NOUN
ejpam-6513	158	31	.	.	PUNCT
ejpam-6513	159	1	proof	proof	NOUN
ejpam-6513	159	2	.	.	PUNCT
ejpam-6513	160	1	let	let	VERB
ejpam-6513	160	2	{	{	PUNCT
ejpam-6513	160	3	(	(	PUNCT
ejpam-6513	160	4	fi	fi	NOUN
ejpam-6513	160	5	,	,	PUNCT
ejpam-6513	160	6	a	a	NOUN
ejpam-6513	160	7	)	)	PUNCT
ejpam-6513	160	8	:	:	PUNCT
ejpam-6513	161	1	i	i	PRON
ejpam-6513	161	2	∈	∈	VERB
ejpam-6513	161	3	i	i	PRON
ejpam-6513	161	4	}	}	PUNCT
ejpam-6513	161	5	be	be	VERB
ejpam-6513	161	6	a	a	DET
ejpam-6513	161	7	collection	collection	NOUN
ejpam-6513	161	8	of	of	ADP
ejpam-6513	161	9	d	d	NOUN
ejpam-6513	161	10	-	-	ADJ
ejpam-6513	161	11	soft	soft	ADJ
ejpam-6513	161	12	sets	set	NOUN
ejpam-6513	161	13	in	in	ADP
ejpam-6513	161	14	a	a	DET
ejpam-6513	161	15	soft	soft	ADJ
ejpam-6513	161	16	locally	locally	ADV
ejpam-6513	161	17	indiscrete	indiscrete	ADJ
ejpam-6513	161	18	space	space	NOUN
ejpam-6513	161	19	.	.	PUNCT
ejpam-6513	162	1	for	for	ADP
ejpam-6513	162	2	each	each	DET
ejpam-6513	162	3	i	i	PRON
ejpam-6513	162	4	,	,	PUNCT
ejpam-6513	162	5	there	there	PRON
ejpam-6513	162	6	exist	exist	VERB
ejpam-6513	162	7	soft	soft	ADJ
ejpam-6513	162	8	open	open	ADJ
ejpam-6513	162	9	sets	set	NOUN
ejpam-6513	162	10	(	(	PUNCT
ejpam-6513	162	11	ui	ui	NOUN
ejpam-6513	162	12	,	,	PUNCT
ejpam-6513	162	13	a	a	PRON
ejpam-6513	162	14	)	)	PUNCT
ejpam-6513	162	15	and	and	CCONJ
ejpam-6513	162	16	(	(	PUNCT
ejpam-6513	162	17	vi	vi	PROPN
ejpam-6513	162	18	,	,	PUNCT
ejpam-6513	162	19	a	a	NOUN
ejpam-6513	162	20	)	)	PUNCT
ejpam-6513	162	21	such	such	ADJ
ejpam-6513	162	22	that	that	SCONJ
ejpam-6513	162	23	ui	ui	PROPN
ejpam-6513	162	24	̸=	̸=	PROPN
ejpam-6513	162	25	s	s	PART
ejpam-6513	162	26	and	and	CCONJ
ejpam-6513	162	27	(	(	PUNCT
ejpam-6513	162	28	fi	fi	NOUN
ejpam-6513	162	29	,	,	PUNCT
ejpam-6513	162	30	a	a	PRON
ejpam-6513	162	31	)	)	PUNCT
ejpam-6513	162	32	⊆	⊆	NUM
ejpam-6513	162	33	(	(	PUNCT
ejpam-6513	162	34	ui	ui	NOUN
ejpam-6513	162	35	,	,	PUNCT
ejpam-6513	162	36	a)−	a)−	PROPN
ejpam-6513	162	37	(	(	PUNCT
ejpam-6513	162	38	vi	vi	PROPN
ejpam-6513	162	39	,	,	PUNCT
ejpam-6513	162	40	a	a	PRON
ejpam-6513	162	41	)	)	PUNCT
ejpam-6513	162	42	.	.	PUNCT
ejpam-6513	163	1	since	since	SCONJ
ejpam-6513	163	2	the	the	DET
ejpam-6513	163	3	space	space	NOUN
ejpam-6513	163	4	is	be	AUX
ejpam-6513	163	5	soft	soft	ADJ
ejpam-6513	163	6	locally	locally	ADV
ejpam-6513	163	7	indiscrete	indiscrete	ADJ
ejpam-6513	163	8	,	,	PUNCT
ejpam-6513	163	9	all	all	DET
ejpam-6513	163	10	soft	soft	ADJ
ejpam-6513	163	11	open	open	ADJ
ejpam-6513	163	12	sets	set	NOUN
ejpam-6513	163	13	are	be	AUX
ejpam-6513	163	14	soft	soft	ADJ
ejpam-6513	163	15	clopen	clopen	ADJ
ejpam-6513	163	16	.	.	PUNCT
ejpam-6513	164	1	let	let	VERB
ejpam-6513	164	2	(	(	PUNCT
ejpam-6513	164	3	u	u	NOUN
ejpam-6513	164	4	,	,	PUNCT
ejpam-6513	164	5	a	a	NOUN
ejpam-6513	164	6	)	)	PUNCT
ejpam-6513	164	7	=	=	SYM
ejpam-6513	164	8	⋃	⋃	NOUN
ejpam-6513	164	9	i∈i(ui	i∈i(ui	NOUN
ejpam-6513	164	10	,	,	PUNCT
ejpam-6513	164	11	a	a	NOUN
ejpam-6513	164	12	)	)	PUNCT
ejpam-6513	164	13	and	and	CCONJ
ejpam-6513	164	14	(	(	PUNCT
ejpam-6513	164	15	v	v	NOUN
ejpam-6513	164	16	,	,	PUNCT
ejpam-6513	164	17	a	a	PRON
ejpam-6513	164	18	)	)	PUNCT
ejpam-6513	165	1	=	=	SYM
ejpam-6513	165	2	⋃	⋃	NOUN
ejpam-6513	165	3	i∈i(vi	i∈i(vi	NOUN
ejpam-6513	165	4	,	,	PUNCT
ejpam-6513	165	5	a	a	NOUN
ejpam-6513	165	6	)	)	PUNCT
ejpam-6513	165	7	.	.	PUNCT
ejpam-6513	166	1	then	then	ADV
ejpam-6513	166	2	(	(	PUNCT
ejpam-6513	166	3	u	u	NOUN
ejpam-6513	166	4	,	,	PUNCT
ejpam-6513	166	5	a	a	PRON
ejpam-6513	166	6	)	)	PUNCT
ejpam-6513	166	7	and	and	CCONJ
ejpam-6513	166	8	(	(	PUNCT
ejpam-6513	166	9	v	v	NOUN
ejpam-6513	166	10	,	,	PUNCT
ejpam-6513	166	11	a	a	PRON
ejpam-6513	166	12	)	)	PUNCT
ejpam-6513	166	13	are	be	AUX
ejpam-6513	166	14	soft	soft	ADJ
ejpam-6513	166	15	open	open	ADJ
ejpam-6513	166	16	(	(	PUNCT
ejpam-6513	166	17	hence	hence	ADV
ejpam-6513	166	18	soft	soft	ADJ
ejpam-6513	166	19	clopen	clopen	ADJ
ejpam-6513	166	20	)	)	PUNCT
ejpam-6513	166	21	,	,	PUNCT
ejpam-6513	166	22	and	and	CCONJ
ejpam-6513	166	23	⋃	⋃	PROPN
ejpam-6513	166	24	i∈i(fi	i∈i(fi	PROPN
ejpam-6513	166	25	,	,	PUNCT
ejpam-6513	166	26	a	a	PRON
ejpam-6513	166	27	)	)	PUNCT
ejpam-6513	166	28	⊆	⊆	NUM
ejpam-6513	166	29	(	(	PUNCT
ejpam-6513	166	30	u	u	NOUN
ejpam-6513	166	31	,	,	PUNCT
ejpam-6513	166	32	a	a	NOUN
ejpam-6513	166	33	)	)	PUNCT
ejpam-6513	166	34	−	−	PROPN
ejpam-6513	166	35	(	(	PUNCT
ejpam-6513	166	36	v	v	NOUN
ejpam-6513	166	37	,	,	PUNCT
ejpam-6513	166	38	a	a	PRON
ejpam-6513	166	39	)	)	PUNCT
ejpam-6513	166	40	.	.	PUNCT
ejpam-6513	167	1	since	since	SCONJ
ejpam-6513	167	2	at	at	ADV
ejpam-6513	167	3	least	least	ADV
ejpam-6513	167	4	one	one	NUM
ejpam-6513	167	5	ui	ui	NOUN
ejpam-6513	167	6	̸=	̸=	PROPN
ejpam-6513	167	7	s	s	PART
ejpam-6513	167	8	,	,	PUNCT
ejpam-6513	167	9	we	we	PRON
ejpam-6513	167	10	have	have	VERB
ejpam-6513	167	11	u	u	NOUN
ejpam-6513	167	12	̸=	̸=	PROPN
ejpam-6513	167	13	s	s	PART
ejpam-6513	167	14	(	(	PUNCT
ejpam-6513	167	15	as	as	SCONJ
ejpam-6513	167	16	s	s	NOUN
ejpam-6513	167	17	is	be	AUX
ejpam-6513	167	18	soft	soft	ADJ
ejpam-6513	167	19	clopen	clopen	ADJ
ejpam-6513	167	20	)	)	PUNCT
ejpam-6513	167	21	.	.	PUNCT
ejpam-6513	168	1	therefore	therefore	ADV
ejpam-6513	168	2	,	,	PUNCT
ejpam-6513	168	3	⋃	⋃	PROPN
ejpam-6513	168	4	i∈i(fi	i∈i(fi	PROPN
ejpam-6513	168	5	,	,	PUNCT
ejpam-6513	168	6	a	a	PRON
ejpam-6513	168	7	)	)	PUNCT
ejpam-6513	168	8	is	be	AUX
ejpam-6513	168	9	a	a	DET
ejpam-6513	168	10	d	d	ADJ
ejpam-6513	168	11	-	-	ADJ
ejpam-6513	168	12	soft	soft	ADJ
ejpam-6513	168	13	set	set	NOUN
ejpam-6513	168	14	.	.	PUNCT
ejpam-6513	169	1	theorem	theorem	NOUN
ejpam-6513	169	2	1	1	NUM
ejpam-6513	169	3	.	.	PUNCT
ejpam-6513	170	1	for	for	ADP
ejpam-6513	170	2	every	every	DET
ejpam-6513	170	3	soft	soft	ADJ
ejpam-6513	170	4	topology	topology	NOUN
ejpam-6513	170	5	on	on	ADP
ejpam-6513	170	6	s	s	PROPN
ejpam-6513	170	7	,	,	PUNCT
ejpam-6513	170	8	the	the	DET
ejpam-6513	170	9	space	space	NOUN
ejpam-6513	170	10	(	(	PUNCT
ejpam-6513	170	11	s	s	PROPN
ejpam-6513	170	12	,	,	PUNCT
ejpam-6513	170	13	υ	υ	NOUN
ejpam-6513	170	14	,	,	PUNCT
ejpam-6513	170	15	a	a	PRON
ejpam-6513	170	16	)	)	PUNCT
ejpam-6513	170	17	is	be	AUX
ejpam-6513	170	18	d	d	ADJ
ejpam-6513	170	19	-	-	ADJ
ejpam-6513	170	20	soft	soft	ADJ
ejpam-6513	170	21	compact	compact	NOUN
ejpam-6513	170	22	if	if	SCONJ
ejpam-6513	170	23	s	s	VERB
ejpam-6513	170	24	is	be	AUX
ejpam-6513	170	25	a	a	DET
ejpam-6513	170	26	nonempty	nonempty	ADJ
ejpam-6513	170	27	finite	finite	ADJ
ejpam-6513	170	28	set	set	NOUN
ejpam-6513	170	29	.	.	PUNCT
ejpam-6513	171	1	proof	proof	NOUN
ejpam-6513	171	2	.	.	PUNCT
ejpam-6513	172	1	suppose	suppose	VERB
ejpam-6513	172	2	s	s	VERB
ejpam-6513	172	3	=	=	PUNCT
ejpam-6513	172	4	{	{	PUNCT
ejpam-6513	172	5	s1	s1	NOUN
ejpam-6513	172	6	,	,	PUNCT
ejpam-6513	172	7	s2	s2	NOUN
ejpam-6513	172	8	,	,	PUNCT
ejpam-6513	172	9	.	.	PUNCT
ejpam-6513	172	10	.	.	PUNCT
ejpam-6513	173	1	.	.	PUNCT
ejpam-6513	174	1	,	,	PUNCT
ejpam-6513	174	2	sn	sn	PROPN
ejpam-6513	174	3	}	}	PUNCT
ejpam-6513	174	4	is	be	AUX
ejpam-6513	174	5	a	a	DET
ejpam-6513	174	6	finite	finite	NOUN
ejpam-6513	174	7	set	set	VERB
ejpam-6513	174	8	and	and	CCONJ
ejpam-6513	174	9	(	(	PUNCT
ejpam-6513	174	10	u	u	NOUN
ejpam-6513	174	11	,	,	PUNCT
ejpam-6513	174	12	a	a	PRON
ejpam-6513	174	13	)	)	PUNCT
ejpam-6513	174	14	=	=	SYM
ejpam-6513	174	15	{	{	PUNCT
ejpam-6513	174	16	(	(	PUNCT
ejpam-6513	174	17	uγ	uγ	ADV
ejpam-6513	174	18	,	,	PUNCT
ejpam-6513	174	19	a	a	PRON
ejpam-6513	174	20	)	)	PUNCT
ejpam-6513	174	21	:	:	PUNCT
ejpam-6513	174	22	γ	γ	PROPN
ejpam-6513	174	23	∈	∈	PROPN
ejpam-6513	174	24	γ	γ	X
ejpam-6513	174	25	}	}	PUNCT
ejpam-6513	174	26	is	be	AUX
ejpam-6513	174	27	a	a	DET
ejpam-6513	174	28	d	d	ADJ
ejpam-6513	174	29	-	-	ADJ
ejpam-6513	174	30	soft	soft	ADJ
ejpam-6513	174	31	cover	cover	NOUN
ejpam-6513	174	32	of	of	ADP
ejpam-6513	174	33	s.	s.	PROPN
ejpam-6513	174	34	since	since	SCONJ
ejpam-6513	174	35	(	(	PUNCT
ejpam-6513	174	36	u	u	NOUN
ejpam-6513	174	37	,	,	PUNCT
ejpam-6513	174	38	a	a	PRON
ejpam-6513	174	39	)	)	PUNCT
ejpam-6513	174	40	covers	cover	VERB
ejpam-6513	174	41	s	s	PROPN
ejpam-6513	174	42	,	,	PUNCT
ejpam-6513	174	43	for	for	ADP
ejpam-6513	174	44	each	each	DET
ejpam-6513	174	45	si	si	PROPN
ejpam-6513	174	46	∈	∈	PROPN
ejpam-6513	174	47	s	s	PART
ejpam-6513	174	48	there	there	PRON
ejpam-6513	174	49	exists	exist	VERB
ejpam-6513	174	50	some	some	PRON
ejpam-6513	174	51	γi	γi	ADP
ejpam-6513	174	52	∈	∈	PROPN
ejpam-6513	174	53	γ	γ	NOUN
ejpam-6513	174	54	such	such	ADJ
ejpam-6513	174	55	that	that	SCONJ
ejpam-6513	174	56	si	si	PROPN
ejpam-6513	174	57	∈	∈	PROPN
ejpam-6513	174	58	(	(	PUNCT
ejpam-6513	174	59	uγi	uγi	PROPN
ejpam-6513	174	60	,	,	PUNCT
ejpam-6513	174	61	a	a	PRON
ejpam-6513	174	62	)	)	PUNCT
ejpam-6513	174	63	.	.	PUNCT
ejpam-6513	175	1	therefore	therefore	ADV
ejpam-6513	175	2	,	,	PUNCT
ejpam-6513	175	3	the	the	DET
ejpam-6513	175	4	collection	collection	NOUN
ejpam-6513	175	5	(	(	PUNCT
ejpam-6513	175	6	u	u	NOUN
ejpam-6513	175	7	,	,	PUNCT
ejpam-6513	175	8	a)∗	a)∗	PROPN
ejpam-6513	175	9	=	=	PRON
ejpam-6513	175	10	{	{	PUNCT
ejpam-6513	175	11	(	(	PUNCT
ejpam-6513	175	12	uγ1	uγ1	PROPN
ejpam-6513	175	13	,	,	PUNCT
ejpam-6513	175	14	a	a	NOUN
ejpam-6513	175	15	)	)	PUNCT
ejpam-6513	175	16	,	,	PUNCT
ejpam-6513	175	17	(	(	PUNCT
ejpam-6513	175	18	uγ2	uγ2	PROPN
ejpam-6513	175	19	,	,	PUNCT
ejpam-6513	175	20	a	a	NOUN
ejpam-6513	175	21	)	)	PUNCT
ejpam-6513	175	22	,	,	PUNCT
ejpam-6513	175	23	.	.	PUNCT
ejpam-6513	175	24	.	.	PUNCT
ejpam-6513	175	25	.	.	PUNCT
ejpam-6513	176	1	,	,	PUNCT
ejpam-6513	176	2	(	(	PUNCT
ejpam-6513	176	3	uγn	uγn	INTJ
ejpam-6513	176	4	,	,	PUNCT
ejpam-6513	176	5	a	a	PRON
ejpam-6513	176	6	)	)	PUNCT
ejpam-6513	176	7	}	}	PUNCT
ejpam-6513	176	8	is	be	AUX
ejpam-6513	176	9	a	a	DET
ejpam-6513	176	10	finite	finite	ADJ
ejpam-6513	176	11	soft	soft	ADJ
ejpam-6513	176	12	subcover	subcover	NOUN
ejpam-6513	176	13	of	of	ADP
ejpam-6513	176	14	(	(	PUNCT
ejpam-6513	176	15	u	u	NOUN
ejpam-6513	176	16	,	,	PUNCT
ejpam-6513	176	17	a	a	PRON
ejpam-6513	176	18	)	)	PUNCT
ejpam-6513	176	19	for	for	ADP
ejpam-6513	176	20	s.	s.	PROPN
ejpam-6513	176	21	thus	thus	ADV
ejpam-6513	176	22	,	,	PUNCT
ejpam-6513	176	23	(	(	PUNCT
ejpam-6513	176	24	s	s	X
ejpam-6513	176	25	,	,	PUNCT
ejpam-6513	176	26	υ	υ	NOUN
ejpam-6513	176	27	,	,	PUNCT
ejpam-6513	176	28	a	a	PRON
ejpam-6513	176	29	)	)	PUNCT
ejpam-6513	176	30	is	be	AUX
ejpam-6513	176	31	a	a	DET
ejpam-6513	176	32	d	d	ADJ
ejpam-6513	176	33	-	-	ADJ
ejpam-6513	176	34	soft	soft	ADJ
ejpam-6513	176	35	compact	compact	ADJ
ejpam-6513	176	36	space	space	NOUN
ejpam-6513	176	37	.	.	PUNCT
ejpam-6513	177	1	j.	j.	PROPN
ejpam-6513	177	2	oudetallah	oudetallah	PROPN
ejpam-6513	177	3	et	et	PROPN
ejpam-6513	177	4	al	al	PROPN
ejpam-6513	177	5	.	.	PUNCT
ejpam-6513	177	6	/	/	SYM
ejpam-6513	177	7	eur	eur	PROPN
ejpam-6513	177	8	.	.	PUNCT
ejpam-6513	178	1	j.	j.	PROPN
ejpam-6513	178	2	pure	pure	PROPN
ejpam-6513	178	3	appl	appl	PROPN
ejpam-6513	178	4	.	.	PROPN
ejpam-6513	178	5	math	math	PROPN
ejpam-6513	178	6	,	,	PUNCT
ejpam-6513	178	7	18	18	NUM
ejpam-6513	178	8	(	(	PUNCT
ejpam-6513	178	9	3	3	NUM
ejpam-6513	178	10	)	)	PUNCT
ejpam-6513	178	11	(	(	PUNCT
ejpam-6513	178	12	2025	2025	NUM
ejpam-6513	178	13	)	)	PUNCT
ejpam-6513	178	14	,	,	PUNCT
ejpam-6513	178	15	6513	6513	NUM
ejpam-6513	178	16	8	8	NUM
ejpam-6513	178	17	of	of	ADP
ejpam-6513	178	18	14	14	NUM
ejpam-6513	178	19	corollary	corollary	ADJ
ejpam-6513	178	20	1	1	NUM
ejpam-6513	178	21	.	.	PUNCT
ejpam-6513	179	1	in	in	ADP
ejpam-6513	179	2	a	a	DET
ejpam-6513	179	3	soft	soft	ADJ
ejpam-6513	179	4	locally	locally	ADV
ejpam-6513	179	5	indiscrete	indiscrete	ADJ
ejpam-6513	179	6	space	space	NOUN
ejpam-6513	179	7	,	,	PUNCT
ejpam-6513	179	8	every	every	DET
ejpam-6513	179	9	d	d	ADJ
ejpam-6513	179	10	-	-	ADJ
ejpam-6513	179	11	soft	soft	ADJ
ejpam-6513	179	12	set	set	NOUN
ejpam-6513	179	13	is	be	AUX
ejpam-6513	179	14	soft	soft	ADJ
ejpam-6513	179	15	clopen	clopen	ADJ
ejpam-6513	179	16	.	.	PUNCT
ejpam-6513	180	1	proof	proof	NOUN
ejpam-6513	180	2	.	.	PUNCT
ejpam-6513	181	1	let	let	VERB
ejpam-6513	181	2	(	(	PUNCT
ejpam-6513	181	3	u	u	NOUN
ejpam-6513	181	4	,	,	PUNCT
ejpam-6513	181	5	a	a	PRON
ejpam-6513	181	6	)	)	PUNCT
ejpam-6513	181	7	be	be	AUX
ejpam-6513	181	8	a	a	DET
ejpam-6513	181	9	d	d	ADJ
ejpam-6513	181	10	-	-	ADJ
ejpam-6513	181	11	soft	soft	ADJ
ejpam-6513	181	12	set	set	NOUN
ejpam-6513	181	13	in	in	ADP
ejpam-6513	181	14	a	a	DET
ejpam-6513	181	15	soft	soft	ADJ
ejpam-6513	181	16	locally	locally	ADV
ejpam-6513	181	17	indiscrete	indiscrete	ADJ
ejpam-6513	181	18	space	space	NOUN
ejpam-6513	181	19	.	.	PUNCT
ejpam-6513	182	1	then	then	ADV
ejpam-6513	182	2	(	(	PUNCT
ejpam-6513	182	3	u	u	NOUN
ejpam-6513	182	4	,	,	PUNCT
ejpam-6513	182	5	a	a	PRON
ejpam-6513	182	6	)	)	PUNCT
ejpam-6513	182	7	=	=	SYM
ejpam-6513	182	8	(	(	PUNCT
ejpam-6513	182	9	w	w	NOUN
ejpam-6513	182	10	,	,	PUNCT
ejpam-6513	182	11	a)−	a)−	PROPN
ejpam-6513	182	12	(	(	PUNCT
ejpam-6513	182	13	z	z	NOUN
ejpam-6513	182	14	,	,	PUNCT
ejpam-6513	182	15	a	a	PRON
ejpam-6513	182	16	)	)	PUNCT
ejpam-6513	182	17	for	for	ADP
ejpam-6513	182	18	some	some	DET
ejpam-6513	182	19	soft	soft	ADJ
ejpam-6513	182	20	open	open	ADJ
ejpam-6513	182	21	sets	set	NOUN
ejpam-6513	182	22	(	(	PUNCT
ejpam-6513	182	23	w	w	NOUN
ejpam-6513	182	24	,	,	PUNCT
ejpam-6513	182	25	a	a	NOUN
ejpam-6513	182	26	)	)	PUNCT
ejpam-6513	182	27	and	and	CCONJ
ejpam-6513	182	28	(	(	PUNCT
ejpam-6513	182	29	z	z	NOUN
ejpam-6513	182	30	,	,	PUNCT
ejpam-6513	182	31	a	a	PRON
ejpam-6513	182	32	)	)	PUNCT
ejpam-6513	182	33	.	.	PUNCT
ejpam-6513	183	1	since	since	SCONJ
ejpam-6513	183	2	the	the	DET
ejpam-6513	183	3	space	space	NOUN
ejpam-6513	183	4	is	be	AUX
ejpam-6513	183	5	soft	soft	ADJ
ejpam-6513	183	6	locally	locally	ADV
ejpam-6513	183	7	indiscrete	indiscrete	ADJ
ejpam-6513	183	8	,	,	PUNCT
ejpam-6513	183	9	both	both	PRON
ejpam-6513	183	10	(	(	PUNCT
ejpam-6513	183	11	w	w	PROPN
ejpam-6513	183	12	,	,	PUNCT
ejpam-6513	183	13	a	a	NOUN
ejpam-6513	183	14	)	)	PUNCT
ejpam-6513	183	15	and	and	CCONJ
ejpam-6513	183	16	(	(	PUNCT
ejpam-6513	183	17	z	z	NOUN
ejpam-6513	183	18	,	,	PUNCT
ejpam-6513	183	19	a	a	PRON
ejpam-6513	183	20	)	)	PUNCT
ejpam-6513	183	21	are	be	AUX
ejpam-6513	183	22	soft	soft	ADJ
ejpam-6513	183	23	clopen	clopen	ADJ
ejpam-6513	183	24	.	.	PUNCT
ejpam-6513	184	1	therefore	therefore	ADV
ejpam-6513	184	2	,	,	PUNCT
ejpam-6513	184	3	(	(	PUNCT
ejpam-6513	184	4	u	u	NOUN
ejpam-6513	184	5	,	,	PUNCT
ejpam-6513	184	6	a	a	PRON
ejpam-6513	184	7	)	)	PUNCT
ejpam-6513	184	8	is	be	AUX
ejpam-6513	184	9	the	the	DET
ejpam-6513	184	10	difference	difference	NOUN
ejpam-6513	184	11	of	of	ADP
ejpam-6513	184	12	two	two	NUM
ejpam-6513	184	13	soft	soft	ADJ
ejpam-6513	184	14	clopen	clopen	ADJ
ejpam-6513	184	15	sets	set	NOUN
ejpam-6513	184	16	,	,	PUNCT
ejpam-6513	184	17	which	which	PRON
ejpam-6513	184	18	makes	make	VERB
ejpam-6513	184	19	it	it	PRON
ejpam-6513	184	20	soft	soft	ADJ
ejpam-6513	184	21	clopen	clopen	ADJ
ejpam-6513	184	22	.	.	PUNCT
ejpam-6513	185	1	corollary	corollary	ADJ
ejpam-6513	185	2	2	2	NUM
ejpam-6513	185	3	.	.	PUNCT
ejpam-6513	186	1	in	in	ADP
ejpam-6513	186	2	a	a	DET
ejpam-6513	186	3	soft	soft	ADJ
ejpam-6513	186	4	locally	locally	ADV
ejpam-6513	186	5	indiscrete	indiscrete	ADJ
ejpam-6513	186	6	space	space	NOUN
ejpam-6513	186	7	,	,	PUNCT
ejpam-6513	186	8	the	the	DET
ejpam-6513	186	9	union	union	NOUN
ejpam-6513	186	10	of	of	ADP
ejpam-6513	186	11	any	any	DET
ejpam-6513	186	12	collection	collection	NOUN
ejpam-6513	186	13	of	of	ADP
ejpam-6513	186	14	d	d	ADJ
ejpam-6513	186	15	-	-	ADJ
ejpam-6513	186	16	soft	soft	ADJ
ejpam-6513	186	17	sets	set	NOUN
ejpam-6513	186	18	is	be	AUX
ejpam-6513	186	19	a	a	DET
ejpam-6513	186	20	d	d	ADJ
ejpam-6513	186	21	-	-	ADJ
ejpam-6513	186	22	soft	soft	ADJ
ejpam-6513	186	23	set	set	NOUN
ejpam-6513	186	24	.	.	PUNCT
ejpam-6513	187	1	proof	proof	NOUN
ejpam-6513	187	2	.	.	PUNCT
ejpam-6513	188	1	this	this	PRON
ejpam-6513	188	2	follows	follow	VERB
ejpam-6513	188	3	directly	directly	ADV
ejpam-6513	188	4	from	from	ADP
ejpam-6513	188	5	lemma	lemma	PROPN
ejpam-6513	188	6	3.1	3.1	NUM
ejpam-6513	188	7	.	.	PUNCT
ejpam-6513	189	1	theorem	theorem	NOUN
ejpam-6513	189	2	2	2	NUM
ejpam-6513	189	3	.	.	PUNCT
ejpam-6513	190	1	every	every	DET
ejpam-6513	190	2	d	d	ADJ
ejpam-6513	190	3	-	-	ADJ
ejpam-6513	190	4	soft	soft	ADJ
ejpam-6513	190	5	compact	compact	ADJ
ejpam-6513	190	6	space	space	NOUN
ejpam-6513	190	7	is	be	AUX
ejpam-6513	190	8	soft	soft	ADJ
ejpam-6513	190	9	compact	compact	ADJ
ejpam-6513	190	10	.	.	PUNCT
ejpam-6513	191	1	proof	proof	NOUN
ejpam-6513	191	2	.	.	PUNCT
ejpam-6513	192	1	let	let	VERB
ejpam-6513	192	2	(	(	PUNCT
ejpam-6513	192	3	s	s	X
ejpam-6513	192	4	,	,	PUNCT
ejpam-6513	192	5	υ	υ	NOUN
ejpam-6513	192	6	,	,	PUNCT
ejpam-6513	192	7	a	a	PRON
ejpam-6513	192	8	)	)	PUNCT
ejpam-6513	192	9	be	be	AUX
ejpam-6513	192	10	a	a	DET
ejpam-6513	192	11	d	d	ADJ
ejpam-6513	192	12	-	-	ADJ
ejpam-6513	192	13	soft	soft	ADJ
ejpam-6513	192	14	compact	compact	ADJ
ejpam-6513	192	15	space	space	NOUN
ejpam-6513	192	16	and	and	CCONJ
ejpam-6513	192	17	let	let	VERB
ejpam-6513	192	18	(	(	PUNCT
ejpam-6513	192	19	u	u	NOUN
ejpam-6513	192	20	,	,	PUNCT
ejpam-6513	192	21	a	a	PRON
ejpam-6513	192	22	)	)	PUNCT
ejpam-6513	192	23	=	=	SYM
ejpam-6513	192	24	{	{	PUNCT
ejpam-6513	192	25	(	(	PUNCT
ejpam-6513	192	26	uγ	uγ	ADV
ejpam-6513	192	27	,	,	PUNCT
ejpam-6513	192	28	a	a	PRON
ejpam-6513	192	29	)	)	PUNCT
ejpam-6513	192	30	:	:	PUNCT
ejpam-6513	192	31	γ	γ	PROPN
ejpam-6513	192	32	∈	∈	PROPN
ejpam-6513	192	33	γ	γ	AUX
ejpam-6513	192	34	}	}	PUNCT
ejpam-6513	192	35	be	be	VERB
ejpam-6513	192	36	any	any	DET
ejpam-6513	192	37	soft	soft	ADJ
ejpam-6513	192	38	open	open	ADJ
ejpam-6513	192	39	cover	cover	NOUN
ejpam-6513	192	40	of	of	ADP
ejpam-6513	192	41	s.	s.	PROPN
ejpam-6513	192	42	since	since	SCONJ
ejpam-6513	192	43	every	every	DET
ejpam-6513	192	44	soft	soft	ADJ
ejpam-6513	192	45	open	open	ADJ
ejpam-6513	192	46	set	set	NOUN
ejpam-6513	192	47	is	be	AUX
ejpam-6513	192	48	a	a	DET
ejpam-6513	192	49	d	d	ADJ
ejpam-6513	192	50	-	-	ADJ
ejpam-6513	192	51	soft	soft	ADJ
ejpam-6513	192	52	set	set	NOUN
ejpam-6513	192	53	(	(	PUNCT
ejpam-6513	192	54	remark	remark	NOUN
ejpam-6513	192	55	2.1	2.1	NUM
ejpam-6513	192	56	)	)	PUNCT
ejpam-6513	192	57	,	,	PUNCT
ejpam-6513	192	58	(	(	PUNCT
ejpam-6513	192	59	u	u	NOUN
ejpam-6513	192	60	,	,	PUNCT
ejpam-6513	192	61	a	a	PRON
ejpam-6513	192	62	)	)	PUNCT
ejpam-6513	192	63	is	be	AUX
ejpam-6513	192	64	also	also	ADV
ejpam-6513	192	65	a	a	DET
ejpam-6513	192	66	d	d	ADJ
ejpam-6513	192	67	-	-	ADJ
ejpam-6513	192	68	soft	soft	ADJ
ejpam-6513	192	69	cover	cover	NOUN
ejpam-6513	192	70	.	.	PUNCT
ejpam-6513	193	1	by	by	ADP
ejpam-6513	193	2	d	d	NOUN
ejpam-6513	193	3	-	-	ADJ
ejpam-6513	193	4	soft	soft	ADJ
ejpam-6513	193	5	compactness	compactness	NOUN
ejpam-6513	193	6	,	,	PUNCT
ejpam-6513	193	7	(	(	PUNCT
ejpam-6513	193	8	u	u	NOUN
ejpam-6513	193	9	,	,	PUNCT
ejpam-6513	193	10	a	a	PRON
ejpam-6513	193	11	)	)	PUNCT
ejpam-6513	193	12	has	have	VERB
ejpam-6513	193	13	a	a	DET
ejpam-6513	193	14	finite	finite	ADJ
ejpam-6513	193	15	soft	soft	ADJ
ejpam-6513	193	16	subcover	subcover	PROPN
ejpam-6513	193	17	.	.	PUNCT
ejpam-6513	194	1	therefore	therefore	ADV
ejpam-6513	194	2	,	,	PUNCT
ejpam-6513	194	3	(	(	PUNCT
ejpam-6513	194	4	s	s	X
ejpam-6513	194	5	,	,	PUNCT
ejpam-6513	194	6	υ	υ	NOUN
ejpam-6513	194	7	,	,	PUNCT
ejpam-6513	194	8	a	a	PRON
ejpam-6513	194	9	)	)	PUNCT
ejpam-6513	194	10	is	be	AUX
ejpam-6513	194	11	soft	soft	ADJ
ejpam-6513	194	12	compact	compact	ADJ
ejpam-6513	194	13	.	.	PUNCT
ejpam-6513	195	1	figure	figure	NOUN
ejpam-6513	195	2	2	2	NUM
ejpam-6513	195	3	:	:	PUNCT
ejpam-6513	195	4	the	the	DET
ejpam-6513	195	5	relation	relation	NOUN
ejpam-6513	195	6	of	of	ADP
ejpam-6513	195	7	d	d	NOUN
ejpam-6513	195	8	-	-	ADJ
ejpam-6513	195	9	soft	soft	ADJ
ejpam-6513	195	10	compact	compact	ADJ
ejpam-6513	195	11	and	and	CCONJ
ejpam-6513	195	12	soft	soft	ADJ
ejpam-6513	195	13	compact	compact	ADJ
ejpam-6513	195	14	spaces	space	NOUN
ejpam-6513	195	15	.	.	PUNCT
ejpam-6513	196	1	the	the	DET
ejpam-6513	196	2	primary	primary	ADJ
ejpam-6513	196	3	connection	connection	NOUN
ejpam-6513	196	4	between	between	ADP
ejpam-6513	196	5	d	d	NOUN
ejpam-6513	196	6	-	-	ADJ
ejpam-6513	196	7	soft	soft	ADJ
ejpam-6513	196	8	compact	compact	ADJ
ejpam-6513	196	9	and	and	CCONJ
ejpam-6513	196	10	soft	soft	ADJ
ejpam-6513	196	11	compact	compact	ADJ
ejpam-6513	196	12	spaces	space	NOUN
ejpam-6513	196	13	is	be	AUX
ejpam-6513	196	14	depicted	depict	VERB
ejpam-6513	196	15	in	in	ADP
ejpam-6513	196	16	figure	figure	NOUN
ejpam-6513	196	17	2	2	NUM
ejpam-6513	196	18	.	.	PUNCT
ejpam-6513	197	1	any	any	DET
ejpam-6513	197	2	d	d	ADJ
ejpam-6513	197	3	-	-	ADJ
ejpam-6513	197	4	soft	soft	ADJ
ejpam-6513	197	5	compact	compact	ADJ
ejpam-6513	197	6	space	space	NOUN
ejpam-6513	197	7	should	should	AUX
ejpam-6513	197	8	be	be	AUX
ejpam-6513	197	9	soft	soft	ADJ
ejpam-6513	197	10	compact	compact	ADJ
ejpam-6513	197	11	,	,	PUNCT
ejpam-6513	197	12	according	accord	VERB
ejpam-6513	197	13	to	to	ADP
ejpam-6513	197	14	the	the	DET
ejpam-6513	197	15	important	important	ADJ
ejpam-6513	197	16	claim	claim	NOUN
ejpam-6513	197	17	that	that	SCONJ
ejpam-6513	197	18	(	(	PUNCT
ejpam-6513	197	19	u	u	NOUN
ejpam-6513	197	20	,	,	PUNCT
ejpam-6513	197	21	a	a	PRON
ejpam-6513	197	22	)	)	PUNCT
ejpam-6513	197	23	=	=	SYM
ejpam-6513	197	24	{	{	PUNCT
ejpam-6513	197	25	(	(	PUNCT
ejpam-6513	197	26	uγ	uγ	ADV
ejpam-6513	197	27	,	,	PUNCT
ejpam-6513	197	28	a	a	PRON
ejpam-6513	197	29	)	)	PUNCT
ejpam-6513	197	30	:	:	PUNCT
ejpam-6513	197	31	γ	γ	PROPN
ejpam-6513	197	32	∈	∈	PROPN
ejpam-6513	197	33	γ	γ	X
ejpam-6513	197	34	}	}	PUNCT
ejpam-6513	197	35	is	be	AUX
ejpam-6513	197	36	a	a	DET
ejpam-6513	197	37	d	d	ADJ
ejpam-6513	197	38	-	-	ADJ
ejpam-6513	197	39	soft	soft	ADJ
ejpam-6513	197	40	cover	cover	NOUN
ejpam-6513	197	41	of	of	ADP
ejpam-6513	197	42	the	the	DET
ejpam-6513	197	43	soft	soft	ADJ
ejpam-6513	197	44	topological	topological	ADJ
ejpam-6513	197	45	space	space	NOUN
ejpam-6513	197	46	(	(	PUNCT
ejpam-6513	197	47	s	s	PROPN
ejpam-6513	197	48	,	,	PUNCT
ejpam-6513	197	49	υ	υ	NOUN
ejpam-6513	197	50	,	,	PUNCT
ejpam-6513	197	51	a	a	NOUN
ejpam-6513	197	52	)	)	PUNCT
ejpam-6513	197	53	with	with	ADP
ejpam-6513	197	54	a	a	DET
ejpam-6513	197	55	finite	finite	ADJ
ejpam-6513	197	56	soft	soft	ADJ
ejpam-6513	197	57	-	-	PUNCT
ejpam-6513	197	58	subcover	subcover	NOUN
ejpam-6513	197	59	,	,	PUNCT
ejpam-6513	197	60	and	and	CCONJ
ejpam-6513	197	61	(	(	PUNCT
ejpam-6513	197	62	v	v	NOUN
ejpam-6513	197	63	,	,	PUNCT
ejpam-6513	197	64	b	b	NOUN
ejpam-6513	197	65	)	)	PUNCT
ejpam-6513	197	66	=	=	SYM
ejpam-6513	197	67	{	{	PUNCT
ejpam-6513	197	68	(	(	PUNCT
ejpam-6513	197	69	vγ	vγ	NOUN
ejpam-6513	197	70	,	,	PUNCT
ejpam-6513	197	71	b	b	PROPN
ejpam-6513	197	72	)	)	PUNCT
ejpam-6513	197	73	:	:	PUNCT
ejpam-6513	197	74	γ	γ	PROPN
ejpam-6513	197	75	∈	∈	PROPN
ejpam-6513	197	76	γ	γ	X
ejpam-6513	197	77	}	}	PUNCT
ejpam-6513	197	78	is	be	AUX
ejpam-6513	197	79	a	a	DET
ejpam-6513	197	80	soft	soft	ADJ
ejpam-6513	197	81	-	-	PUNCT
ejpam-6513	197	82	cover	cover	NOUN
ejpam-6513	197	83	of	of	ADP
ejpam-6513	197	84	the	the	DET
ejpam-6513	197	85	soft	soft	ADJ
ejpam-6513	197	86	topological	topological	ADJ
ejpam-6513	197	87	space	space	NOUN
ejpam-6513	197	88	(	(	PUNCT
ejpam-6513	197	89	t	t	PROPN
ejpam-6513	197	90	,	,	PUNCT
ejpam-6513	197	91	θ	θ	PROPN
ejpam-6513	197	92	,	,	PUNCT
ejpam-6513	197	93	a	a	PRON
ejpam-6513	197	94	)	)	PUNCT
ejpam-6513	197	95	.	.	PUNCT
ejpam-6513	198	1	we	we	PRON
ejpam-6513	198	2	demonstrate	demonstrate	VERB
ejpam-6513	198	3	in	in	ADP
ejpam-6513	198	4	the	the	DET
ejpam-6513	198	5	following	following	ADJ
ejpam-6513	198	6	example	example	NOUN
ejpam-6513	198	7	that	that	SCONJ
ejpam-6513	198	8	the	the	DET
ejpam-6513	198	9	opposite	opposite	NOUN
ejpam-6513	198	10	of	of	ADP
ejpam-6513	198	11	theorem	theorem	ADJ
ejpam-6513	198	12	3.2	3.2	NUM
ejpam-6513	198	13	does	do	AUX
ejpam-6513	198	14	not	not	PART
ejpam-6513	198	15	necessarily	necessarily	ADV
ejpam-6513	198	16	have	have	VERB
ejpam-6513	198	17	to	to	PART
ejpam-6513	198	18	be	be	AUX
ejpam-6513	198	19	true	true	ADJ
ejpam-6513	198	20	.	.	PUNCT
ejpam-6513	199	1	example	example	NOUN
ejpam-6513	200	1	4	4	NUM
ejpam-6513	200	2	.	.	PUNCT
ejpam-6513	200	3	the	the	DET
ejpam-6513	200	4	soft	soft	ADJ
ejpam-6513	200	5	-	-	PUNCT
ejpam-6513	200	6	cofinite	cofinite	NOUN
ejpam-6513	200	7	topological	topological	ADJ
ejpam-6513	200	8	space	space	NOUN
ejpam-6513	200	9	(	(	PUNCT
ejpam-6513	200	10	r	r	NOUN
ejpam-6513	200	11	,	,	PUNCT
ejpam-6513	200	12	υ	υ	NOUN
ejpam-6513	200	13	,	,	PUNCT
ejpam-6513	200	14	a	a	NOUN
ejpam-6513	200	15	)	)	PUNCT
ejpam-6513	200	16	,	,	PUNCT
ejpam-6513	200	17	where	where	SCONJ
ejpam-6513	200	18	a	a	DET
ejpam-6513	200	19	=	=	SYM
ejpam-6513	200	20	{	{	PUNCT
ejpam-6513	200	21	a1	a1	PROPN
ejpam-6513	200	22	,	,	PUNCT
ejpam-6513	200	23	a2	a2	PROPN
ejpam-6513	200	24	}	}	PUNCT
ejpam-6513	200	25	,	,	PUNCT
ejpam-6513	200	26	is	be	AUX
ejpam-6513	200	27	softcompact	softcompact	NOUN
ejpam-6513	200	28	but	but	CCONJ
ejpam-6513	200	29	not	not	PART
ejpam-6513	200	30	a	a	DET
ejpam-6513	200	31	d	d	ADJ
ejpam-6513	200	32	-	-	ADJ
ejpam-6513	200	33	soft	soft	ADJ
ejpam-6513	200	34	compact	compact	NOUN
ejpam-6513	200	35	.	.	PUNCT
ejpam-6513	201	1	in	in	ADP
ejpam-6513	201	2	a	a	DET
ejpam-6513	201	3	soft	soft	ADJ
ejpam-6513	201	4	topological	topological	ADJ
ejpam-6513	201	5	space	space	NOUN
ejpam-6513	201	6	(	(	PUNCT
ejpam-6513	201	7	r	r	NOUN
ejpam-6513	201	8	,	,	PUNCT
ejpam-6513	201	9	υ	υ	NOUN
ejpam-6513	201	10	,	,	PUNCT
ejpam-6513	201	11	a	a	NOUN
ejpam-6513	201	12	)	)	PUNCT
ejpam-6513	201	13	,	,	PUNCT
ejpam-6513	201	14	any	any	DET
ejpam-6513	201	15	soft	soft	ADJ
ejpam-6513	201	16	-	-	PUNCT
ejpam-6513	201	17	set	set	NOUN
ejpam-6513	201	18	of	of	ADP
ejpam-6513	201	19	the	the	DET
ejpam-6513	201	20	form	form	NOUN
ejpam-6513	201	21	(	(	PUNCT
ejpam-6513	201	22	a1,r	a1,r	PROPN
ejpam-6513	201	23	−	−	PROPN
ejpam-6513	201	24	{	{	PUNCT
ejpam-6513	201	25	y	y	NOUN
ejpam-6513	201	26	}	}	PUNCT
ejpam-6513	201	27	)	)	PUNCT
ejpam-6513	201	28	or	or	CCONJ
ejpam-6513	201	29	(	(	PUNCT
ejpam-6513	201	30	a2,r	a2,r	PROPN
ejpam-6513	201	31	−	−	PROPN
ejpam-6513	201	32	{	{	PUNCT
ejpam-6513	201	33	y	y	NOUN
ejpam-6513	201	34	}	}	PUNCT
ejpam-6513	201	35	)	)	PUNCT
ejpam-6513	201	36	;	;	PUNCT
ejpam-6513	201	37	y	y	PROPN
ejpam-6513	201	38	∈	∈	PROPN
ejpam-6513	201	39	r	r	NOUN
ejpam-6513	201	40	is	be	AUX
ejpam-6513	201	41	a	a	DET
ejpam-6513	201	42	soft	soft	ADJ
ejpam-6513	201	43	-	-	PUNCT
ejpam-6513	201	44	open	open	NOUN
ejpam-6513	201	45	set	set	NOUN
ejpam-6513	201	46	.	.	PUNCT
ejpam-6513	202	1	let	let	VERB
ejpam-6513	202	2	(	(	PUNCT
ejpam-6513	202	3	w	w	NOUN
ejpam-6513	202	4	,	,	PUNCT
ejpam-6513	202	5	a	a	NOUN
ejpam-6513	202	6	)	)	PUNCT
ejpam-6513	202	7	=	=	SYM
ejpam-6513	202	8	(	(	PUNCT
ejpam-6513	202	9	a1,r	a1,r	PROPN
ejpam-6513	202	10	−	−	PROPN
ejpam-6513	202	11	{	{	PUNCT
ejpam-6513	202	12	y1	y1	NOUN
ejpam-6513	202	13	}	}	PUNCT
ejpam-6513	202	14	)	)	PUNCT
ejpam-6513	203	1	and	and	CCONJ
ejpam-6513	203	2	(	(	PUNCT
ejpam-6513	203	3	z	z	NOUN
ejpam-6513	203	4	,	,	PUNCT
ejpam-6513	203	5	a	a	PRON
ejpam-6513	203	6	)	)	PUNCT
ejpam-6513	203	7	=	=	SYM
ejpam-6513	203	8	(	(	PUNCT
ejpam-6513	203	9	a2,r	a2,r	PROPN
ejpam-6513	203	10	−	−	PROPN
ejpam-6513	203	11	{	{	PUNCT
ejpam-6513	203	12	y2	y2	NOUN
ejpam-6513	203	13	}	}	PUNCT
ejpam-6513	203	14	)	)	PUNCT
ejpam-6513	203	15	stand	stand	VERB
ejpam-6513	203	16	now	now	ADV
ejpam-6513	203	17	.	.	PUNCT
ejpam-6513	204	1	in	in	ADP
ejpam-6513	204	2	such	such	ADJ
ejpam-6513	204	3	case	case	NOUN
ejpam-6513	204	4	,	,	PUNCT
ejpam-6513	204	5	(	(	PUNCT
ejpam-6513	204	6	u	u	NOUN
ejpam-6513	204	7	,	,	PUNCT
ejpam-6513	204	8	a	a	PRON
ejpam-6513	204	9	)	)	PUNCT
ejpam-6513	204	10	=	=	SYM
ejpam-6513	204	11	(	(	PUNCT
ejpam-6513	204	12	w	w	PROPN
ejpam-6513	204	13	,	,	PUNCT
ejpam-6513	204	14	a	a	NOUN
ejpam-6513	204	15	)	)	PUNCT
ejpam-6513	204	16	−	−	PROPN
ejpam-6513	204	17	(	(	PUNCT
ejpam-6513	204	18	z	z	NOUN
ejpam-6513	204	19	,	,	PUNCT
ejpam-6513	204	20	a	a	PRON
ejpam-6513	204	21	)	)	PUNCT
ejpam-6513	204	22	=	=	SYM
ejpam-6513	204	23	j.	j.	PROPN
ejpam-6513	204	24	oudetallah	oudetallah	PROPN
ejpam-6513	204	25	et	et	PROPN
ejpam-6513	204	26	al	al	PROPN
ejpam-6513	204	27	.	.	PUNCT
ejpam-6513	204	28	/	/	SYM
ejpam-6513	204	29	eur	eur	PROPN
ejpam-6513	204	30	.	.	PUNCT
ejpam-6513	205	1	j.	j.	PROPN
ejpam-6513	205	2	pure	pure	PROPN
ejpam-6513	205	3	appl	appl	PROPN
ejpam-6513	205	4	.	.	PROPN
ejpam-6513	205	5	math	math	PROPN
ejpam-6513	205	6	,	,	PUNCT
ejpam-6513	205	7	18	18	NUM
ejpam-6513	205	8	(	(	PUNCT
ejpam-6513	205	9	3	3	NUM
ejpam-6513	205	10	)	)	PUNCT
ejpam-6513	205	11	(	(	PUNCT
ejpam-6513	205	12	2025	2025	NUM
ejpam-6513	205	13	)	)	PUNCT
ejpam-6513	205	14	,	,	PUNCT
ejpam-6513	205	15	6513	6513	NUM
ejpam-6513	205	16	9	9	NUM
ejpam-6513	205	17	of	of	ADP
ejpam-6513	205	18	14	14	NUM
ejpam-6513	205	19	(	(	PUNCT
ejpam-6513	205	20	a1	a1	NOUN
ejpam-6513	205	21	,	,	PUNCT
ejpam-6513	205	22	{	{	PUNCT
ejpam-6513	205	23	y2	y2	NOUN
ejpam-6513	205	24	}	}	PUNCT
ejpam-6513	205	25	)	)	PUNCT
ejpam-6513	205	26	is	be	AUX
ejpam-6513	205	27	an	an	DET
ejpam-6513	205	28	inaccessible	inaccessible	ADJ
ejpam-6513	205	29	d	d	NOUN
ejpam-6513	205	30	-	-	ADJ
ejpam-6513	205	31	soft	soft	ADJ
ejpam-6513	205	32	set	set	NOUN
ejpam-6513	205	33	.	.	PUNCT
ejpam-6513	206	1	with	with	ADP
ejpam-6513	206	2	no	no	DET
ejpam-6513	206	3	finite	finite	ADJ
ejpam-6513	206	4	soft	soft	ADJ
ejpam-6513	206	5	-	-	PUNCT
ejpam-6513	206	6	subcover	subcover	NOUN
ejpam-6513	206	7	,	,	PUNCT
ejpam-6513	206	8	the	the	DET
ejpam-6513	206	9	collection	collection	NOUN
ejpam-6513	206	10	(	(	PUNCT
ejpam-6513	206	11	u	u	NOUN
ejpam-6513	206	12	,	,	PUNCT
ejpam-6513	206	13	a	a	PRON
ejpam-6513	206	14	)	)	PUNCT
ejpam-6513	206	15	=	=	SYM
ejpam-6513	206	16	(	(	PUNCT
ejpam-6513	206	17	ai=1,2	ai=1,2	NOUN
ejpam-6513	206	18	,	,	PUNCT
ejpam-6513	206	19	{	{	PUNCT
ejpam-6513	206	20	y	y	NOUN
ejpam-6513	206	21	}	}	PUNCT
ejpam-6513	206	22	)	)	PUNCT
ejpam-6513	206	23	:	:	PUNCT
ejpam-6513	206	24	y	y	PROPN
ejpam-6513	206	25	∈	∈	PROPN
ejpam-6513	206	26	r	r	X
ejpam-6513	206	27	}	}	PUNCT
ejpam-6513	206	28	is	be	AUX
ejpam-6513	206	29	a	a	DET
ejpam-6513	206	30	d	d	ADJ
ejpam-6513	206	31	-	-	ADJ
ejpam-6513	206	32	soft	soft	ADJ
ejpam-6513	206	33	cover	cover	NOUN
ejpam-6513	206	34	of	of	ADP
ejpam-6513	206	35	(	(	PUNCT
ejpam-6513	206	36	r	r	NOUN
ejpam-6513	206	37	,	,	PUNCT
ejpam-6513	206	38	υ	υ	NOUN
ejpam-6513	206	39	,	,	PUNCT
ejpam-6513	206	40	a	a	NOUN
ejpam-6513	206	41	)	)	PUNCT
ejpam-6513	206	42	.	.	PUNCT
ejpam-6513	207	1	if	if	SCONJ
ejpam-6513	207	2	(	(	PUNCT
ejpam-6513	207	3	u	u	NOUN
ejpam-6513	207	4	,	,	PUNCT
ejpam-6513	207	5	a	a	PRON
ejpam-6513	207	6	)	)	PUNCT
ejpam-6513	207	7	=	=	SYM
ejpam-6513	207	8	{	{	PUNCT
ejpam-6513	207	9	(	(	PUNCT
ejpam-6513	207	10	ai=1,2	ai=1,2	NOUN
ejpam-6513	207	11	,	,	PUNCT
ejpam-6513	207	12	{	{	PUNCT
ejpam-6513	207	13	y	y	NOUN
ejpam-6513	207	14	}	}	PUNCT
ejpam-6513	207	15	)	)	PUNCT
ejpam-6513	207	16	:	:	PUNCT
ejpam-6513	207	17	y	y	PROPN
ejpam-6513	207	18	∈	∈	PROPN
ejpam-6513	207	19	r	r	X
ejpam-6513	207	20	}	}	PUNCT
ejpam-6513	207	21	has	have	VERB
ejpam-6513	207	22	a	a	DET
ejpam-6513	207	23	finite	finite	ADJ
ejpam-6513	207	24	soft	soft	ADJ
ejpam-6513	207	25	-	-	PUNCT
ejpam-6513	207	26	subcover	subcover	NOUN
ejpam-6513	207	27	{	{	PUNCT
ejpam-6513	207	28	(	(	PUNCT
ejpam-6513	207	29	ai=1,2	ai=1,2	NOUN
ejpam-6513	207	30	,	,	PUNCT
ejpam-6513	207	31	{	{	PUNCT
ejpam-6513	207	32	y1	y1	NOUN
ejpam-6513	207	33	}	}	PUNCT
ejpam-6513	207	34	)	)	PUNCT
ejpam-6513	207	35	,	,	PUNCT
ejpam-6513	207	36	(	(	PUNCT
ejpam-6513	207	37	ai=1,2	ai=1,2	X
ejpam-6513	207	38	,	,	PUNCT
ejpam-6513	207	39	{	{	PUNCT
ejpam-6513	207	40	y2	y2	NOUN
ejpam-6513	207	41	}	}	PUNCT
ejpam-6513	207	42	)	)	PUNCT
ejpam-6513	207	43	,	,	PUNCT
ejpam-6513	207	44	.	.	PUNCT
ejpam-6513	207	45	.	.	PUNCT
ejpam-6513	208	1	.	.	PUNCT
ejpam-6513	209	1	,	,	PUNCT
ejpam-6513	209	2	(	(	PUNCT
ejpam-6513	209	3	ai=1,2	ai=1,2	X
ejpam-6513	209	4	,	,	PUNCT
ejpam-6513	209	5	{	{	PUNCT
ejpam-6513	209	6	yn	yn	NOUN
ejpam-6513	209	7	}	}	PUNCT
ejpam-6513	209	8	)	)	PUNCT
ejpam-6513	209	9	}	}	PUNCT
ejpam-6513	209	10	,	,	PUNCT
ejpam-6513	209	11	then	then	ADV
ejpam-6513	209	12	r	r	NOUN
ejpam-6513	209	13	⊆⋃n	⊆⋃n	PROPN
ejpam-6513	209	14	k=1(ai=1,2	k=1(ai=1,2	PROPN
ejpam-6513	209	15	,	,	PUNCT
ejpam-6513	209	16	{	{	PUNCT
ejpam-6513	209	17	yk	yk	NOUN
ejpam-6513	209	18	}	}	PUNCT
ejpam-6513	209	19	)	)	PUNCT
ejpam-6513	209	20	,	,	PUNCT
ejpam-6513	209	21	i.e.	i.e.	X
ejpam-6513	209	22	,	,	PUNCT
ejpam-6513	209	23	r	r	NOUN
ejpam-6513	209	24	is	be	AUX
ejpam-6513	209	25	a	a	DET
ejpam-6513	209	26	finite	finite	ADJ
ejpam-6513	209	27	soft	soft	ADJ
ejpam-6513	209	28	-	-	PUNCT
ejpam-6513	209	29	set	set	NOUN
ejpam-6513	209	30	,	,	PUNCT
ejpam-6513	209	31	which	which	PRON
ejpam-6513	209	32	is	be	AUX
ejpam-6513	209	33	contradictory	contradictory	ADJ
ejpam-6513	209	34	.	.	PUNCT
ejpam-6513	210	1	in	in	ADP
ejpam-6513	210	2	the	the	DET
ejpam-6513	210	3	next	next	ADJ
ejpam-6513	210	4	example	example	NOUN
ejpam-6513	210	5	,	,	PUNCT
ejpam-6513	210	6	we	we	PRON
ejpam-6513	210	7	show	show	VERB
ejpam-6513	210	8	that	that	SCONJ
ejpam-6513	210	9	the	the	DET
ejpam-6513	210	10	contrapositive	contrapositive	NOUN
ejpam-6513	210	11	of	of	ADP
ejpam-6513	210	12	theorem	theorem	NOUN
ejpam-6513	210	13	3.2	3.2	NUM
ejpam-6513	210	14	.	.	PUNCT
ejpam-6513	210	15	is	be	AUX
ejpam-6513	210	16	true	true	ADJ
ejpam-6513	210	17	in	in	ADP
ejpam-6513	210	18	general	general	ADJ
ejpam-6513	210	19	.	.	PUNCT
ejpam-6513	211	1	example	example	NOUN
ejpam-6513	212	1	5	5	NUM
ejpam-6513	212	2	.	.	PUNCT
ejpam-6513	212	3	since	since	SCONJ
ejpam-6513	212	4	a	a	PRON
ejpam-6513	212	5	is	be	AUX
ejpam-6513	212	6	an	an	DET
ejpam-6513	212	7	arbitrary	arbitrary	ADJ
ejpam-6513	212	8	parameter	parameter	NOUN
ejpam-6513	212	9	,	,	PUNCT
ejpam-6513	212	10	the	the	DET
ejpam-6513	212	11	soft	soft	ADJ
ejpam-6513	212	12	topological	topological	ADJ
ejpam-6513	212	13	space	space	NOUN
ejpam-6513	212	14	(	(	PUNCT
ejpam-6513	212	15	r	r	NOUN
ejpam-6513	212	16	,	,	PUNCT
ejpam-6513	212	17	υl.r	υl.r	NUM
ejpam-6513	212	18	,	,	PUNCT
ejpam-6513	212	19	a	a	PRON
ejpam-6513	212	20	)	)	PUNCT
ejpam-6513	212	21	is	be	AUX
ejpam-6513	212	22	not	not	PART
ejpam-6513	212	23	soft	soft	ADJ
ejpam-6513	212	24	-	-	PUNCT
ejpam-6513	212	25	compact	compact	ADJ
ejpam-6513	212	26	and	and	CCONJ
ejpam-6513	212	27	thus	thus	ADV
ejpam-6513	212	28	not	not	PART
ejpam-6513	212	29	d	d	ADJ
ejpam-6513	212	30	-	-	ADJ
ejpam-6513	212	31	soft	soft	ADJ
ejpam-6513	212	32	compact	compact	NOUN
ejpam-6513	212	33	.	.	PUNCT
ejpam-6513	213	1	in	in	ADP
ejpam-6513	213	2	the	the	DET
ejpam-6513	213	3	next	next	ADJ
ejpam-6513	213	4	example	example	NOUN
ejpam-6513	213	5	presents	present	VERB
ejpam-6513	213	6	that	that	SCONJ
ejpam-6513	213	7	the	the	DET
ejpam-6513	213	8	converse	converse	NOUN
ejpam-6513	213	9	of	of	ADP
ejpam-6513	213	10	theorem	theorem	NOUN
ejpam-6513	213	11	3.2	3.2	NUM
ejpam-6513	213	12	.	.	PUNCT
ejpam-6513	213	13	may	may	AUX
ejpam-6513	213	14	be	be	AUX
ejpam-6513	213	15	true	true	ADJ
ejpam-6513	213	16	with	with	ADP
ejpam-6513	213	17	extra	extra	ADJ
ejpam-6513	213	18	conditions	condition	NOUN
ejpam-6513	213	19	.	.	PUNCT
ejpam-6513	214	1	theorem	theorem	NOUN
ejpam-6513	214	2	3	3	NUM
ejpam-6513	214	3	.	.	PUNCT
ejpam-6513	215	1	if	if	SCONJ
ejpam-6513	215	2	the	the	DET
ejpam-6513	215	3	soft	soft	ADJ
ejpam-6513	215	4	compact	compact	ADJ
ejpam-6513	215	5	space	space	NOUN
ejpam-6513	215	6	(	(	PUNCT
ejpam-6513	215	7	s	s	X
ejpam-6513	215	8	,	,	PUNCT
ejpam-6513	215	9	υ	υ	NOUN
ejpam-6513	215	10	,	,	PUNCT
ejpam-6513	215	11	a	a	PRON
ejpam-6513	215	12	)	)	PUNCT
ejpam-6513	215	13	is	be	AUX
ejpam-6513	215	14	a	a	DET
ejpam-6513	215	15	soft	soft	ADJ
ejpam-6513	215	16	locally	locally	ADV
ejpam-6513	215	17	indiscrete	indiscrete	ADJ
ejpam-6513	215	18	,	,	PUNCT
ejpam-6513	215	19	then	then	ADV
ejpam-6513	215	20	it	it	PRON
ejpam-6513	215	21	is	be	AUX
ejpam-6513	215	22	d	d	ADJ
ejpam-6513	215	23	-	-	ADJ
ejpam-6513	215	24	soft	soft	ADJ
ejpam-6513	215	25	compact	compact	ADJ
ejpam-6513	215	26	.	.	PUNCT
ejpam-6513	216	1	proof	proof	NOUN
ejpam-6513	216	2	.	.	PUNCT
ejpam-6513	217	1	the	the	DET
ejpam-6513	217	2	collection	collection	NOUN
ejpam-6513	217	3	(	(	PUNCT
ejpam-6513	217	4	uγ	uγ	ADV
ejpam-6513	217	5	,	,	PUNCT
ejpam-6513	217	6	a	a	PRON
ejpam-6513	217	7	)	)	PUNCT
ejpam-6513	217	8	is	be	AUX
ejpam-6513	217	9	a	a	DET
ejpam-6513	217	10	soft	soft	ADJ
ejpam-6513	217	11	-	-	PUNCT
ejpam-6513	217	12	clopen	clopen	ADJ
ejpam-6513	217	13	set	set	NOUN
ejpam-6513	217	14	for	for	ADP
ejpam-6513	217	15	every	every	DET
ejpam-6513	217	16	γ	γ	PROPN
ejpam-6513	217	17	∈	∈	PROPN
ejpam-6513	217	18	γ	γ	X
ejpam-6513	217	19	.	.	PUNCT
ejpam-6513	218	1	let	let	VERB
ejpam-6513	218	2	(	(	PUNCT
ejpam-6513	218	3	u	u	NOUN
ejpam-6513	218	4	,	,	PUNCT
ejpam-6513	218	5	a	a	PRON
ejpam-6513	218	6	)	)	PUNCT
ejpam-6513	218	7	=	=	SYM
ejpam-6513	218	8	{	{	PUNCT
ejpam-6513	218	9	(	(	PUNCT
ejpam-6513	218	10	uγ	uγ	ADV
ejpam-6513	218	11	,	,	PUNCT
ejpam-6513	218	12	a	a	PRON
ejpam-6513	218	13	)	)	PUNCT
ejpam-6513	218	14	:	:	PUNCT
ejpam-6513	218	15	γ	γ	PROPN
ejpam-6513	218	16	∈	∈	PROPN
ejpam-6513	218	17	γ	γ	AUX
ejpam-6513	218	18	}	}	PUNCT
ejpam-6513	218	19	be	be	AUX
ejpam-6513	218	20	a	a	DET
ejpam-6513	218	21	d	d	ADJ
ejpam-6513	218	22	-	-	ADJ
ejpam-6513	218	23	soft	soft	ADJ
ejpam-6513	218	24	cover	cover	NOUN
ejpam-6513	218	25	of	of	ADP
ejpam-6513	218	26	(	(	PUNCT
ejpam-6513	218	27	s	s	PROPN
ejpam-6513	218	28	,	,	PUNCT
ejpam-6513	218	29	υ	υ	NOUN
ejpam-6513	218	30	,	,	PUNCT
ejpam-6513	218	31	a	a	PRON
ejpam-6513	218	32	)	)	PUNCT
ejpam-6513	218	33	.	.	PUNCT
ejpam-6513	219	1	(	(	PUNCT
ejpam-6513	219	2	u	u	NOUN
ejpam-6513	219	3	,	,	PUNCT
ejpam-6513	219	4	a	a	PRON
ejpam-6513	219	5	)	)	PUNCT
ejpam-6513	219	6	is	be	AUX
ejpam-6513	219	7	a	a	DET
ejpam-6513	219	8	soft	soft	ADJ
ejpam-6513	219	9	-	-	PUNCT
ejpam-6513	219	10	open	open	ADJ
ejpam-6513	219	11	cover	cover	NOUN
ejpam-6513	219	12	of	of	ADP
ejpam-6513	219	13	(	(	PUNCT
ejpam-6513	219	14	s	s	PROPN
ejpam-6513	219	15	,	,	PUNCT
ejpam-6513	219	16	υ	υ	NOUN
ejpam-6513	219	17	,	,	PUNCT
ejpam-6513	219	18	a	a	NOUN
ejpam-6513	219	19	)	)	PUNCT
ejpam-6513	219	20	,	,	PUNCT
ejpam-6513	219	21	in	in	ADP
ejpam-6513	219	22	this	this	DET
ejpam-6513	219	23	case	case	NOUN
ejpam-6513	219	24	.	.	PUNCT
ejpam-6513	220	1	now	now	ADV
ejpam-6513	220	2	,	,	PUNCT
ejpam-6513	220	3	(	(	PUNCT
ejpam-6513	220	4	u	u	NOUN
ejpam-6513	220	5	,	,	PUNCT
ejpam-6513	220	6	a	a	PRON
ejpam-6513	220	7	)	)	PUNCT
ejpam-6513	220	8	has	have	VERB
ejpam-6513	220	9	a	a	DET
ejpam-6513	220	10	finite	finite	ADJ
ejpam-6513	220	11	soft	soft	ADJ
ejpam-6513	220	12	-	-	PUNCT
ejpam-6513	220	13	subcover	subcover	NOUN
ejpam-6513	220	14	since	since	SCONJ
ejpam-6513	220	15	the	the	DET
ejpam-6513	220	16	space	space	NOUN
ejpam-6513	220	17	(	(	PUNCT
ejpam-6513	220	18	s	s	X
ejpam-6513	220	19	,	,	PUNCT
ejpam-6513	220	20	υ	υ	NOUN
ejpam-6513	220	21	,	,	PUNCT
ejpam-6513	220	22	a	a	PRON
ejpam-6513	220	23	)	)	PUNCT
ejpam-6513	220	24	is	be	AUX
ejpam-6513	220	25	soft	soft	ADJ
ejpam-6513	220	26	compact	compact	ADJ
ejpam-6513	220	27	.	.	PUNCT
ejpam-6513	221	1	thus	thus	ADV
ejpam-6513	221	2	,	,	PUNCT
ejpam-6513	221	3	we	we	PRON
ejpam-6513	221	4	have	have	VERB
ejpam-6513	221	5	what	what	PRON
ejpam-6513	221	6	is	be	AUX
ejpam-6513	221	7	needed	need	VERB
ejpam-6513	221	8	.	.	PUNCT
ejpam-6513	222	1	figure	figure	VERB
ejpam-6513	222	2	3	3	NUM
ejpam-6513	222	3	:	:	PUNCT
ejpam-6513	222	4	the	the	DET
ejpam-6513	222	5	relation	relation	NOUN
ejpam-6513	222	6	of	of	ADP
ejpam-6513	222	7	d	d	NOUN
ejpam-6513	222	8	-	-	ADJ
ejpam-6513	222	9	soft	soft	ADJ
ejpam-6513	222	10	compact	compact	ADJ
ejpam-6513	222	11	and	and	CCONJ
ejpam-6513	222	12	soft	soft	ADJ
ejpam-6513	222	13	compact	compact	ADJ
ejpam-6513	222	14	spaces	space	NOUN
ejpam-6513	222	15	with	with	ADP
ejpam-6513	222	16	soft	soft	ADJ
ejpam-6513	222	17	locally	locally	ADV
ejpam-6513	222	18	indiscreet	indiscreet	ADJ
ejpam-6513	222	19	condition	condition	NOUN
ejpam-6513	222	20	.	.	PUNCT
ejpam-6513	223	1	figure	figure	NOUN
ejpam-6513	223	2	3	3	NUM
ejpam-6513	223	3	illustrates	illustrate	VERB
ejpam-6513	223	4	the	the	DET
ejpam-6513	223	5	complex	complex	ADJ
ejpam-6513	223	6	relationship	relationship	NOUN
ejpam-6513	223	7	between	between	ADP
ejpam-6513	223	8	d	d	NOUN
ejpam-6513	223	9	-	-	ADJ
ejpam-6513	223	10	soft	soft	ADJ
ejpam-6513	223	11	compact	compact	ADJ
ejpam-6513	223	12	and	and	CCONJ
ejpam-6513	223	13	soft	soft	ADJ
ejpam-6513	223	14	compact	compact	ADJ
ejpam-6513	223	15	spaces	space	NOUN
ejpam-6513	223	16	with	with	ADP
ejpam-6513	223	17	addition	addition	NOUN
ejpam-6513	223	18	condition	condition	NOUN
ejpam-6513	223	19	.	.	PUNCT
ejpam-6513	224	1	it	it	PRON
ejpam-6513	224	2	presents	present	VERB
ejpam-6513	224	3	a	a	DET
ejpam-6513	224	4	curial	curial	ADJ
ejpam-6513	224	5	assertion	assertion	NOUN
ejpam-6513	224	6	that	that	SCONJ
ejpam-6513	224	7	any	any	DET
ejpam-6513	224	8	d	d	ADJ
ejpam-6513	224	9	-	-	ADJ
ejpam-6513	224	10	soft	soft	ADJ
ejpam-6513	224	11	compact	compact	ADJ
ejpam-6513	224	12	space	space	NOUN
ejpam-6513	224	13	should	should	AUX
ejpam-6513	224	14	be	be	AUX
ejpam-6513	224	15	soft	soft	ADJ
ejpam-6513	224	16	compact	compact	ADJ
ejpam-6513	224	17	,	,	PUNCT
ejpam-6513	224	18	while	while	SCONJ
ejpam-6513	224	19	the	the	DET
ejpam-6513	224	20	opposite	opposite	NOUN
ejpam-6513	224	21	is	be	AUX
ejpam-6513	224	22	true	true	ADJ
ejpam-6513	224	23	if	if	SCONJ
ejpam-6513	224	24	the	the	DET
ejpam-6513	224	25	soft	soft	ADJ
ejpam-6513	224	26	compact	compact	ADJ
ejpam-6513	224	27	space	space	NOUN
ejpam-6513	224	28	satisfies	satisfy	VERB
ejpam-6513	224	29	the	the	DET
ejpam-6513	224	30	soft	soft	ADJ
ejpam-6513	224	31	locally	locally	ADV
ejpam-6513	224	32	indiscreet	indiscreet	ADJ
ejpam-6513	224	33	condition	condition	NOUN
ejpam-6513	224	34	,	,	PUNCT
ejpam-6513	224	35	such	such	ADJ
ejpam-6513	224	36	that	that	SCONJ
ejpam-6513	224	37	(	(	PUNCT
ejpam-6513	224	38	u	u	NOUN
ejpam-6513	224	39	,	,	PUNCT
ejpam-6513	224	40	a	a	PRON
ejpam-6513	224	41	)	)	PUNCT
ejpam-6513	224	42	=	=	SYM
ejpam-6513	224	43	{	{	PUNCT
ejpam-6513	224	44	(	(	PUNCT
ejpam-6513	224	45	uγ	uγ	ADV
ejpam-6513	224	46	,	,	PUNCT
ejpam-6513	224	47	a	a	PRON
ejpam-6513	224	48	)	)	PUNCT
ejpam-6513	224	49	:	:	PUNCT
ejpam-6513	224	50	γ	γ	PROPN
ejpam-6513	224	51	∈	∈	PROPN
ejpam-6513	224	52	γ	γ	X
ejpam-6513	224	53	}	}	PUNCT
ejpam-6513	224	54	is	be	AUX
ejpam-6513	224	55	d	d	ADJ
ejpam-6513	224	56	-	-	ADJ
ejpam-6513	224	57	soft	soft	ADJ
ejpam-6513	224	58	cover	cover	NOUN
ejpam-6513	224	59	of	of	ADP
ejpam-6513	224	60	the	the	DET
ejpam-6513	224	61	soft	soft	ADJ
ejpam-6513	224	62	topological	topological	ADJ
ejpam-6513	224	63	space	space	NOUN
ejpam-6513	224	64	(	(	PUNCT
ejpam-6513	224	65	s	s	PROPN
ejpam-6513	224	66	,	,	PUNCT
ejpam-6513	224	67	υ	υ	NOUN
ejpam-6513	224	68	,	,	PUNCT
ejpam-6513	224	69	a	a	PRON
ejpam-6513	224	70	)	)	PUNCT
ejpam-6513	224	71	has	have	VERB
ejpam-6513	224	72	a	a	DET
ejpam-6513	224	73	finite	finite	ADJ
ejpam-6513	224	74	soft	soft	ADJ
ejpam-6513	224	75	-	-	PUNCT
ejpam-6513	224	76	subcover	subcover	NOUN
ejpam-6513	224	77	,	,	PUNCT
ejpam-6513	224	78	and	and	CCONJ
ejpam-6513	224	79	(	(	PUNCT
ejpam-6513	224	80	v	v	NOUN
ejpam-6513	224	81	,	,	PUNCT
ejpam-6513	224	82	b	b	NOUN
ejpam-6513	224	83	)	)	PUNCT
ejpam-6513	224	84	=	=	SYM
ejpam-6513	224	85	{	{	PUNCT
ejpam-6513	224	86	(	(	PUNCT
ejpam-6513	224	87	vγ	vγ	NOUN
ejpam-6513	224	88	,	,	PUNCT
ejpam-6513	224	89	b	b	PROPN
ejpam-6513	224	90	)	)	PUNCT
ejpam-6513	224	91	:	:	PUNCT
ejpam-6513	224	92	γ	γ	PROPN
ejpam-6513	224	93	∈	∈	PROPN
ejpam-6513	224	94	γ	γ	X
ejpam-6513	224	95	}	}	PUNCT
ejpam-6513	224	96	is	be	AUX
ejpam-6513	224	97	soft	soft	ADJ
ejpam-6513	224	98	-	-	PUNCT
ejpam-6513	224	99	cover	cover	NOUN
ejpam-6513	224	100	of	of	ADP
ejpam-6513	224	101	the	the	DET
ejpam-6513	224	102	soft	soft	ADJ
ejpam-6513	224	103	topological	topological	ADJ
ejpam-6513	224	104	space	space	NOUN
ejpam-6513	224	105	(	(	PUNCT
ejpam-6513	224	106	t	t	PROPN
ejpam-6513	224	107	,	,	PUNCT
ejpam-6513	224	108	θ	θ	PROPN
ejpam-6513	224	109	,	,	PUNCT
ejpam-6513	224	110	a	a	PRON
ejpam-6513	224	111	)	)	PUNCT
ejpam-6513	224	112	has	have	VERB
ejpam-6513	224	113	a	a	DET
ejpam-6513	224	114	finite	finite	ADJ
ejpam-6513	224	115	-	-	ADJ
ejpam-6513	224	116	subcover	subcover	NOUN
ejpam-6513	224	117	.	.	PUNCT
ejpam-6513	224	118	example	example	NOUN
ejpam-6513	225	1	6	6	NUM
ejpam-6513	225	2	.	.	PUNCT
ejpam-6513	226	1	(	(	PUNCT
ejpam-6513	226	2	1	1	X
ejpam-6513	226	3	)	)	PUNCT
ejpam-6513	226	4	let	let	VERB
ejpam-6513	226	5	s	s	NOUN
ejpam-6513	226	6	=	=	SYM
ejpam-6513	226	7	r	r	NOUN
ejpam-6513	226	8	,	,	PUNCT
ejpam-6513	226	9	a	a	PRON
ejpam-6513	226	10	=	=	X
ejpam-6513	226	11	{	{	PUNCT
ejpam-6513	226	12	a	a	NOUN
ejpam-6513	226	13	}	}	PUNCT
ejpam-6513	226	14	and	and	CCONJ
ejpam-6513	226	15	υind	υind	ADV
ejpam-6513	226	16	be	be	AUX
ejpam-6513	226	17	a	a	DET
ejpam-6513	226	18	soft	soft	ADJ
ejpam-6513	226	19	indiscrete	indiscrete	ADJ
ejpam-6513	226	20	topology	topology	NOUN
ejpam-6513	226	21	on	on	ADP
ejpam-6513	226	22	s.	s.	PROPN
ejpam-6513	226	23	then	then	ADV
ejpam-6513	226	24	the	the	DET
ejpam-6513	226	25	soft	soft	ADJ
ejpam-6513	226	26	space	space	NOUN
ejpam-6513	226	27	(	(	PUNCT
ejpam-6513	226	28	s	s	X
ejpam-6513	226	29	,	,	PUNCT
ejpam-6513	226	30	υind	υind	ADJ
ejpam-6513	226	31	,	,	PUNCT
ejpam-6513	226	32	a	a	PRON
ejpam-6513	226	33	)	)	PUNCT
ejpam-6513	226	34	is	be	AUX
ejpam-6513	226	35	d	d	ADJ
ejpam-6513	226	36	-	-	ADJ
ejpam-6513	226	37	soft	soft	ADJ
ejpam-6513	226	38	compact	compact	NOUN
ejpam-6513	226	39	,	,	PUNCT
ejpam-6513	226	40	because	because	SCONJ
ejpam-6513	226	41	it	it	PRON
ejpam-6513	226	42	is	be	AUX
ejpam-6513	226	43	locally	locally	ADV
ejpam-6513	226	44	indiscrete	indiscrete	ADJ
ejpam-6513	226	45	and	and	CCONJ
ejpam-6513	226	46	soft	soft	ADJ
ejpam-6513	226	47	compact	compact	ADJ
ejpam-6513	226	48	.	.	PUNCT
ejpam-6513	227	1	(	(	PUNCT
ejpam-6513	227	2	2	2	X
ejpam-6513	227	3	)	)	PUNCT
ejpam-6513	227	4	let	let	AUX
ejpam-6513	227	5	s	s	NOUN
ejpam-6513	227	6	=	=	SYM
ejpam-6513	227	7	r	r	NOUN
ejpam-6513	227	8	,	,	PUNCT
ejpam-6513	227	9	a	a	DET
ejpam-6513	227	10	=	=	X
ejpam-6513	227	11	{	{	PUNCT
ejpam-6513	227	12	a1	a1	PROPN
ejpam-6513	227	13	,	,	PUNCT
ejpam-6513	227	14	a2	a2	PROPN
ejpam-6513	227	15	,	,	PUNCT
ejpam-6513	227	16	a3	a3	NOUN
ejpam-6513	227	17	,	,	PUNCT
ejpam-6513	227	18	a4	a4	PROPN
ejpam-6513	227	19	,	,	PUNCT
ejpam-6513	227	20	a5	a5	NOUN
ejpam-6513	227	21	,	,	PUNCT
ejpam-6513	227	22	a6	a6	NOUN
ejpam-6513	227	23	}	}	PUNCT
ejpam-6513	227	24	and	and	CCONJ
ejpam-6513	227	25	υ	υ	NOUN
ejpam-6513	227	26	=	=	PRON
ejpam-6513	227	27	{	{	PUNCT
ejpam-6513	227	28	ϕ,r	ϕ,r	NOUN
ejpam-6513	227	29	,	,	PUNCT
ejpam-6513	227	30	r	r	NOUN
ejpam-6513	227	31	−	−	NOUN
ejpam-6513	227	32	{	{	PUNCT
ejpam-6513	227	33	7	7	NUM
ejpam-6513	227	34	}	}	PUNCT
ejpam-6513	227	35	,	,	PUNCT
ejpam-6513	227	36	{	{	PUNCT
ejpam-6513	227	37	7	7	NUM
ejpam-6513	227	38	}	}	PUNCT
ejpam-6513	227	39	}	}	PUNCT
ejpam-6513	227	40	be	be	AUX
ejpam-6513	227	41	soft	soft	ADJ
ejpam-6513	227	42	topology	topology	NOUN
ejpam-6513	227	43	on	on	ADP
ejpam-6513	227	44	s.	s.	PROPN
ejpam-6513	227	45	then	then	ADV
ejpam-6513	227	46	the	the	DET
ejpam-6513	227	47	space	space	NOUN
ejpam-6513	227	48	(	(	PUNCT
ejpam-6513	227	49	s	s	PROPN
ejpam-6513	227	50	,	,	PUNCT
ejpam-6513	227	51	υ	υ	NOUN
ejpam-6513	227	52	,	,	PUNCT
ejpam-6513	227	53	a	a	PRON
ejpam-6513	227	54	)	)	PUNCT
ejpam-6513	227	55	is	be	AUX
ejpam-6513	227	56	soft	soft	ADJ
ejpam-6513	227	57	locally	locally	ADV
ejpam-6513	227	58	indiscrete	indiscrete	ADJ
ejpam-6513	227	59	and	and	CCONJ
ejpam-6513	227	60	soft	soft	ADJ
ejpam-6513	227	61	compact	compact	NOUN
ejpam-6513	227	62	,	,	PUNCT
ejpam-6513	227	63	so	so	CCONJ
ejpam-6513	227	64	it	it	PRON
ejpam-6513	227	65	is	be	AUX
ejpam-6513	227	66	d	d	ADJ
ejpam-6513	227	67	-	-	ADJ
ejpam-6513	227	68	soft	soft	ADJ
ejpam-6513	227	69	compact	compact	NOUN
ejpam-6513	227	70	.	.	PUNCT
ejpam-6513	228	1	j.	j.	PROPN
ejpam-6513	228	2	oudetallah	oudetallah	PROPN
ejpam-6513	228	3	et	et	PROPN
ejpam-6513	228	4	al	al	PROPN
ejpam-6513	228	5	.	.	PUNCT
ejpam-6513	228	6	/	/	SYM
ejpam-6513	228	7	eur	eur	PROPN
ejpam-6513	228	8	.	.	PUNCT
ejpam-6513	229	1	j.	j.	PROPN
ejpam-6513	229	2	pure	pure	PROPN
ejpam-6513	229	3	appl	appl	PROPN
ejpam-6513	229	4	.	.	PROPN
ejpam-6513	229	5	math	math	PROPN
ejpam-6513	229	6	,	,	PUNCT
ejpam-6513	229	7	18	18	NUM
ejpam-6513	229	8	(	(	PUNCT
ejpam-6513	229	9	3	3	NUM
ejpam-6513	229	10	)	)	PUNCT
ejpam-6513	229	11	(	(	PUNCT
ejpam-6513	229	12	2025	2025	NUM
ejpam-6513	229	13	)	)	PUNCT
ejpam-6513	229	14	,	,	PUNCT
ejpam-6513	229	15	6513	6513	NUM
ejpam-6513	229	16	10	10	NUM
ejpam-6513	229	17	of	of	ADP
ejpam-6513	229	18	14	14	NUM
ejpam-6513	229	19	theorem	theorem	NOUN
ejpam-6513	229	20	4	4	NUM
ejpam-6513	229	21	.	.	PUNCT
ejpam-6513	230	1	let	let	VERB
ejpam-6513	230	2	(	(	PUNCT
ejpam-6513	230	3	s	s	X
ejpam-6513	230	4	,	,	PUNCT
ejpam-6513	230	5	υs	υs	ADP
ejpam-6513	230	6	,	,	PUNCT
ejpam-6513	230	7	as	as	SCONJ
ejpam-6513	230	8	)	)	PUNCT
ejpam-6513	230	9	be	be	AUX
ejpam-6513	230	10	a	a	DET
ejpam-6513	230	11	soft	soft	ADJ
ejpam-6513	230	12	topological	topological	ADJ
ejpam-6513	230	13	space	space	NOUN
ejpam-6513	230	14	and	and	CCONJ
ejpam-6513	230	15	q	q	NOUN
ejpam-6513	230	16	⊆	⊆	NUM
ejpam-6513	230	17	s	s	NOUN
ejpam-6513	230	18	,	,	PUNCT
ejpam-6513	230	19	then	then	ADV
ejpam-6513	230	20	(	(	PUNCT
ejpam-6513	230	21	q	q	X
ejpam-6513	230	22	,	,	PUNCT
ejpam-6513	230	23	υq	υq	PROPN
ejpam-6513	230	24	,	,	PUNCT
ejpam-6513	230	25	aq	aq	X
ejpam-6513	230	26	)	)	PUNCT
ejpam-6513	230	27	is	be	AUX
ejpam-6513	230	28	d	d	ADJ
ejpam-6513	230	29	-	-	ADJ
ejpam-6513	230	30	soft	soft	ADJ
ejpam-6513	230	31	compact	compact	ADJ
ejpam-6513	230	32	iff	iff	NOUN
ejpam-6513	230	33	every	every	DET
ejpam-6513	230	34	each	each	DET
ejpam-6513	230	35	soft	soft	ADJ
ejpam-6513	230	36	-	-	PUNCT
ejpam-6513	230	37	cover	cover	NOUN
ejpam-6513	230	38	of	of	ADP
ejpam-6513	230	39	q	q	NOUN
ejpam-6513	230	40	by	by	ADP
ejpam-6513	230	41	d	d	ADJ
ejpam-6513	230	42	-	-	ADJ
ejpam-6513	230	43	soft	soft	ADJ
ejpam-6513	230	44	sets	set	NOUN
ejpam-6513	230	45	in	in	ADP
ejpam-6513	230	46	s	s	PROPN
ejpam-6513	230	47	has	have	VERB
ejpam-6513	230	48	a	a	DET
ejpam-6513	230	49	finite	finite	ADJ
ejpam-6513	230	50	soft	soft	ADJ
ejpam-6513	230	51	-	-	PUNCT
ejpam-6513	230	52	subcover	subcover	NOUN
ejpam-6513	230	53	.	.	PUNCT
ejpam-6513	231	1	proof	proof	NOUN
ejpam-6513	231	2	.	.	PUNCT
ejpam-6513	232	1	=	=	VERB
ejpam-6513	232	2	⇒	⇒	NOUN
ejpam-6513	232	3	)	)	PUNCT
ejpam-6513	232	4	let	let	VERB
ejpam-6513	232	5	(	(	PUNCT
ejpam-6513	232	6	q	q	X
ejpam-6513	232	7	,	,	PUNCT
ejpam-6513	232	8	υq	υq	PROPN
ejpam-6513	232	9	,	,	PUNCT
ejpam-6513	232	10	aq	aq	AUX
ejpam-6513	232	11	)	)	PUNCT
ejpam-6513	232	12	be	be	VERB
ejpam-6513	232	13	d	d	ADJ
ejpam-6513	232	14	-	-	ADJ
ejpam-6513	232	15	soft	soft	ADJ
ejpam-6513	232	16	compact	compact	ADJ
ejpam-6513	232	17	and	and	CCONJ
ejpam-6513	232	18	(	(	PUNCT
ejpam-6513	232	19	u	u	NOUN
ejpam-6513	232	20	,	,	PUNCT
ejpam-6513	232	21	as	as	ADP
ejpam-6513	232	22	)	)	PUNCT
ejpam-6513	232	23	=	=	PRON
ejpam-6513	232	24	{	{	PUNCT
ejpam-6513	232	25	(	(	PUNCT
ejpam-6513	232	26	uγ	uγ	ADV
ejpam-6513	232	27	,	,	PUNCT
ejpam-6513	232	28	as	as	ADP
ejpam-6513	232	29	)	)	PUNCT
ejpam-6513	232	30	:	:	PUNCT
ejpam-6513	232	31	γ	γ	PROPN
ejpam-6513	232	32	∈	∈	PROPN
ejpam-6513	232	33	γ	γ	AUX
ejpam-6513	232	34	}	}	PUNCT
ejpam-6513	232	35	be	be	VERB
ejpam-6513	232	36	d	d	ADJ
ejpam-6513	232	37	-	-	ADJ
ejpam-6513	232	38	soft	soft	ADJ
ejpam-6513	232	39	cover	cover	NOUN
ejpam-6513	232	40	of	of	ADP
ejpam-6513	232	41	q	q	NOUN
ejpam-6513	232	42	by	by	ADP
ejpam-6513	232	43	d	d	ADJ
ejpam-6513	232	44	-	-	ADJ
ejpam-6513	232	45	soft	soft	ADJ
ejpam-6513	232	46	sets	set	NOUN
ejpam-6513	232	47	in	in	ADP
ejpam-6513	232	48	s.	s.	PROPN
ejpam-6513	232	49	now	now	ADV
ejpam-6513	232	50	,	,	PUNCT
ejpam-6513	232	51	for	for	ADP
ejpam-6513	232	52	all	all	DET
ejpam-6513	232	53	γ	γ	PROPN
ejpam-6513	232	54	∈	∈	PROPN
ejpam-6513	232	55	γ	γ	NOUN
ejpam-6513	232	56	we	we	PRON
ejpam-6513	232	57	have	have	VERB
ejpam-6513	232	58	that	that	SCONJ
ejpam-6513	232	59	the	the	DET
ejpam-6513	232	60	collection	collection	NOUN
ejpam-6513	232	61	(	(	PUNCT
ejpam-6513	232	62	u∗	u∗	PROPN
ejpam-6513	232	63	γ	γ	X
ejpam-6513	232	64	,	,	PUNCT
ejpam-6513	232	65	a	a	DET
ejpam-6513	232	66	∗	∗	NOUN
ejpam-6513	232	67	q	q	NOUN
ejpam-6513	232	68	)	)	PUNCT
ejpam-6513	232	69	=	=	SYM
ejpam-6513	232	70	(	(	PUNCT
ejpam-6513	232	71	uγ	uγ	ADV
ejpam-6513	232	72	,	,	PUNCT
ejpam-6513	232	73	as	as	ADP
ejpam-6513	232	74	)	)	PUNCT
ejpam-6513	232	75	∩	∩	NOUN
ejpam-6513	232	76	q	q	X
ejpam-6513	232	77	is	be	AUX
ejpam-6513	232	78	a	a	DET
ejpam-6513	232	79	d	d	ADJ
ejpam-6513	232	80	-	-	ADJ
ejpam-6513	232	81	soft	soft	ADJ
ejpam-6513	232	82	sets	set	NOUN
ejpam-6513	232	83	in	in	ADP
ejpam-6513	232	84	q.	q.	PROPN
ejpam-6513	232	85	then	then	ADV
ejpam-6513	232	86	(	(	PUNCT
ejpam-6513	232	87	u∗	u∗	PROPN
ejpam-6513	232	88	,	,	PUNCT
ejpam-6513	232	89	a∗	a∗	PROPN
ejpam-6513	232	90	q	q	NOUN
ejpam-6513	232	91	)	)	PUNCT
ejpam-6513	232	92	=	=	PRON
ejpam-6513	232	93	{	{	PUNCT
ejpam-6513	232	94	(	(	PUNCT
ejpam-6513	232	95	u∗	u∗	PROPN
ejpam-6513	232	96	γ	γ	X
ejpam-6513	232	97	,	,	PUNCT
ejpam-6513	232	98	a	a	DET
ejpam-6513	232	99	∗	∗	NOUN
ejpam-6513	232	100	q	q	NOUN
ejpam-6513	232	101	)	)	PUNCT
ejpam-6513	232	102	:	:	PUNCT
ejpam-6513	232	103	γ	γ	PROPN
ejpam-6513	232	104	∈	∈	PROPN
ejpam-6513	232	105	γ	γ	X
ejpam-6513	232	106	}	}	PUNCT
ejpam-6513	232	107	is	be	AUX
ejpam-6513	232	108	d	d	ADJ
ejpam-6513	232	109	-	-	ADJ
ejpam-6513	232	110	soft	soft	ADJ
ejpam-6513	232	111	cover	cover	NOUN
ejpam-6513	232	112	of	of	ADP
ejpam-6513	232	113	q	q	NOUN
ejpam-6513	232	114	by	by	ADP
ejpam-6513	232	115	d	d	ADJ
ejpam-6513	232	116	-	-	ADJ
ejpam-6513	232	117	soft	soft	ADJ
ejpam-6513	232	118	sets	set	NOUN
ejpam-6513	232	119	in	in	ADP
ejpam-6513	232	120	q.	q.	NOUN
ejpam-6513	232	121	since	since	SCONJ
ejpam-6513	232	122	the	the	DET
ejpam-6513	232	123	space	space	NOUN
ejpam-6513	232	124	(	(	PUNCT
ejpam-6513	232	125	q	q	X
ejpam-6513	232	126	,	,	PUNCT
ejpam-6513	232	127	υq	υq	PROPN
ejpam-6513	232	128	,	,	PUNCT
ejpam-6513	232	129	aq	aq	X
ejpam-6513	232	130	)	)	PUNCT
ejpam-6513	232	131	is	be	AUX
ejpam-6513	232	132	a	a	DET
ejpam-6513	232	133	is	be	AUX
ejpam-6513	232	134	d	d	ADJ
ejpam-6513	232	135	-	-	ADJ
ejpam-6513	232	136	soft	soft	ADJ
ejpam-6513	232	137	compact	compact	NOUN
ejpam-6513	232	138	,	,	PUNCT
ejpam-6513	232	139	then	then	ADV
ejpam-6513	232	140	(	(	PUNCT
ejpam-6513	232	141	u∗	u∗	PROPN
ejpam-6513	232	142	,	,	PUNCT
ejpam-6513	232	143	a∗	a∗	PROPN
ejpam-6513	232	144	q	q	NOUN
ejpam-6513	232	145	)	)	PUNCT
ejpam-6513	232	146	has	have	VERB
ejpam-6513	232	147	a	a	DET
ejpam-6513	232	148	finite	finite	ADJ
ejpam-6513	232	149	soft	soft	ADJ
ejpam-6513	232	150	-	-	PUNCT
ejpam-6513	232	151	subcover	subcover	NOUN
ejpam-6513	232	152	{	{	PUNCT
ejpam-6513	232	153	(	(	PUNCT
ejpam-6513	232	154	u∗	u∗	PROPN
ejpam-6513	232	155	γ1	γ1	PROPN
ejpam-6513	232	156	,	,	PUNCT
ejpam-6513	232	157	a	a	DET
ejpam-6513	232	158	∗	∗	NOUN
ejpam-6513	232	159	q1	q1	NOUN
ejpam-6513	232	160	)	)	PUNCT
ejpam-6513	232	161	,	,	PUNCT
ejpam-6513	232	162	(	(	PUNCT
ejpam-6513	232	163	u	u	NOUN
ejpam-6513	232	164	∗	∗	NOUN
ejpam-6513	232	165	γ2	γ2	PROPN
ejpam-6513	232	166	,	,	PUNCT
ejpam-6513	232	167	a	a	DET
ejpam-6513	232	168	∗	∗	NOUN
ejpam-6513	232	169	q2	q2	NOUN
ejpam-6513	232	170	)	)	PUNCT
ejpam-6513	232	171	,	,	PUNCT
ejpam-6513	232	172	.	.	PUNCT
ejpam-6513	232	173	.	.	PUNCT
ejpam-6513	232	174	.	.	PUNCT
ejpam-6513	233	1	,	,	PUNCT
ejpam-6513	233	2	(	(	PUNCT
ejpam-6513	233	3	u	u	NOUN
ejpam-6513	233	4	∗	∗	NOUN
ejpam-6513	233	5	γn	γn	NOUN
ejpam-6513	233	6	,	,	PUNCT
ejpam-6513	233	7	a	a	DET
ejpam-6513	233	8	∗	∗	NOUN
ejpam-6513	233	9	qn	qn	NOUN
ejpam-6513	233	10	)	)	PUNCT
ejpam-6513	233	11	}	}	PUNCT
ejpam-6513	233	12	for	for	ADP
ejpam-6513	233	13	q.	q.	NOUN
ejpam-6513	233	14	hence	hence	ADV
ejpam-6513	233	15	we	we	PRON
ejpam-6513	233	16	get	get	VERB
ejpam-6513	233	17	that	that	SCONJ
ejpam-6513	233	18	the	the	DET
ejpam-6513	233	19	family	family	NOUN
ejpam-6513	233	20	{	{	PUNCT
ejpam-6513	233	21	(	(	PUNCT
ejpam-6513	233	22	uγ1	uγ1	PROPN
ejpam-6513	233	23	,	,	PUNCT
ejpam-6513	233	24	as1	as1	NOUN
ejpam-6513	233	25	)	)	PUNCT
ejpam-6513	233	26	,	,	PUNCT
ejpam-6513	233	27	(	(	PUNCT
ejpam-6513	233	28	uγ2	uγ2	PROPN
ejpam-6513	233	29	,	,	PUNCT
ejpam-6513	233	30	as2	as2	PROPN
ejpam-6513	233	31	)	)	PUNCT
ejpam-6513	233	32	,	,	PUNCT
ejpam-6513	233	33	.	.	PUNCT
ejpam-6513	233	34	.	.	PUNCT
ejpam-6513	234	1	.	.	PUNCT
ejpam-6513	235	1	,	,	PUNCT
ejpam-6513	235	2	(	(	PUNCT
ejpam-6513	235	3	uγn	uγn	INTJ
ejpam-6513	235	4	,	,	PUNCT
ejpam-6513	235	5	asn	asn	PROPN
ejpam-6513	235	6	)	)	PUNCT
ejpam-6513	235	7	}	}	PUNCT
ejpam-6513	235	8	is	be	AUX
ejpam-6513	235	9	a	a	DET
ejpam-6513	235	10	finite	finite	ADJ
ejpam-6513	235	11	soft	soft	ADJ
ejpam-6513	235	12	-	-	PUNCT
ejpam-6513	235	13	subcover	subcover	NOUN
ejpam-6513	235	14	of	of	ADP
ejpam-6513	235	15	(	(	PUNCT
ejpam-6513	235	16	u	u	NOUN
ejpam-6513	235	17	,	,	PUNCT
ejpam-6513	235	18	as	as	ADP
ejpam-6513	235	19	)	)	PUNCT
ejpam-6513	235	20	in	in	ADP
ejpam-6513	235	21	s	s	PRON
ejpam-6513	235	22	for	for	ADP
ejpam-6513	235	23	q	q	NOUN
ejpam-6513	235	24	,	,	PUNCT
ejpam-6513	235	25	where	where	SCONJ
ejpam-6513	235	26	(	(	PUNCT
ejpam-6513	235	27	u∗	u∗	NOUN
ejpam-6513	235	28	γi	γi	PROPN
ejpam-6513	235	29	,	,	PUNCT
ejpam-6513	235	30	a	a	DET
ejpam-6513	235	31	∗	∗	NOUN
ejpam-6513	235	32	qi	qi	NOUN
ejpam-6513	235	33	)	)	PUNCT
ejpam-6513	235	34	=	=	SYM
ejpam-6513	235	35	(	(	PUNCT
ejpam-6513	235	36	uγi	uγi	X
ejpam-6513	235	37	,	,	PUNCT
ejpam-6513	235	38	asi	asi	NOUN
ejpam-6513	235	39	)	)	PUNCT
ejpam-6513	235	40	∩q	∩q	PROPN
ejpam-6513	235	41	for	for	ADP
ejpam-6513	235	42	all	all	DET
ejpam-6513	235	43	i	i	PRON
ejpam-6513	235	44	=	=	NOUN
ejpam-6513	235	45	1	1	NUM
ejpam-6513	235	46	,	,	PUNCT
ejpam-6513	235	47	2	2	NUM
ejpam-6513	235	48	,	,	PUNCT
ejpam-6513	235	49	.	.	PUNCT
ejpam-6513	235	50	.	.	PUNCT
ejpam-6513	236	1	.	.	PUNCT
ejpam-6513	237	1	,	,	PUNCT
ejpam-6513	238	1	n	n	PROPN
ejpam-6513	238	2	and	and	CCONJ
ejpam-6513	238	3	γ	γ	PROPN
ejpam-6513	238	4	∈	∈	PROPN
ejpam-6513	238	5	γ	γ	X
ejpam-6513	238	6	.	.	PROPN
ejpam-6513	239	1	hence	hence	ADV
ejpam-6513	239	2	we	we	PRON
ejpam-6513	239	3	have	have	VERB
ejpam-6513	239	4	the	the	DET
ejpam-6513	239	5	required	require	VERB
ejpam-6513	239	6	.	.	PUNCT
ejpam-6513	240	1	⇐	⇐	ADJ
ejpam-6513	240	2	=)	=)	PROPN
ejpam-6513	240	3	let	let	VERB
ejpam-6513	240	4	q	q	NOUN
ejpam-6513	240	5	have	have	VERB
ejpam-6513	240	6	a	a	DET
ejpam-6513	240	7	finite	finite	ADJ
ejpam-6513	240	8	soft	soft	ADJ
ejpam-6513	240	9	-	-	PUNCT
ejpam-6513	240	10	subcover	subcover	NOUN
ejpam-6513	240	11	for	for	ADP
ejpam-6513	240	12	every	every	DET
ejpam-6513	240	13	d	d	ADJ
ejpam-6513	240	14	-	-	ADJ
ejpam-6513	240	15	soft	soft	ADJ
ejpam-6513	240	16	cover	cover	NOUN
ejpam-6513	240	17	of	of	ADP
ejpam-6513	240	18	q	q	NOUN
ejpam-6513	240	19	by	by	ADP
ejpam-6513	240	20	d	d	ADJ
ejpam-6513	240	21	-	-	ADJ
ejpam-6513	240	22	soft	soft	ADJ
ejpam-6513	240	23	sets	set	NOUN
ejpam-6513	240	24	in	in	ADP
ejpam-6513	240	25	s.	s.	PROPN
ejpam-6513	240	26	it	it	PRON
ejpam-6513	240	27	is	be	AUX
ejpam-6513	240	28	assumed	assume	VERB
ejpam-6513	240	29	that	that	SCONJ
ejpam-6513	240	30	(	(	PUNCT
ejpam-6513	240	31	v	v	NOUN
ejpam-6513	240	32	,	,	PUNCT
ejpam-6513	240	33	aq	aq	NOUN
ejpam-6513	240	34	)	)	PUNCT
ejpam-6513	240	35	=	=	PRON
ejpam-6513	240	36	{	{	PUNCT
ejpam-6513	240	37	(	(	PUNCT
ejpam-6513	240	38	vγ	vγ	NOUN
ejpam-6513	240	39	,	,	PUNCT
ejpam-6513	240	40	aq	aq	PROPN
ejpam-6513	240	41	)	)	PUNCT
ejpam-6513	240	42	:	:	PUNCT
ejpam-6513	240	43	γ	γ	PROPN
ejpam-6513	240	44	∈	∈	PROPN
ejpam-6513	240	45	γ	γ	X
ejpam-6513	240	46	}	}	PUNCT
ejpam-6513	240	47	is	be	AUX
ejpam-6513	240	48	a	a	DET
ejpam-6513	240	49	d	d	ADJ
ejpam-6513	240	50	-	-	ADJ
ejpam-6513	240	51	soft	soft	ADJ
ejpam-6513	240	52	cover	cover	NOUN
ejpam-6513	240	53	of	of	ADP
ejpam-6513	240	54	q	q	NOUN
ejpam-6513	240	55	by	by	ADP
ejpam-6513	240	56	dsoft	dsoft	ADJ
ejpam-6513	240	57	sets	set	NOUN
ejpam-6513	240	58	in	in	ADP
ejpam-6513	240	59	q.	q.	PROPN
ejpam-6513	240	60	then	then	ADV
ejpam-6513	240	61	,	,	PUNCT
ejpam-6513	240	62	for	for	ADP
ejpam-6513	240	63	any	any	DET
ejpam-6513	240	64	γ	γ	PROPN
ejpam-6513	240	65	∈	∈	PROPN
ejpam-6513	240	66	γ	γ	X
ejpam-6513	240	67	,	,	PUNCT
ejpam-6513	240	68	there	there	PRON
ejpam-6513	240	69	are	be	VERB
ejpam-6513	240	70	d	d	ADJ
ejpam-6513	240	71	-	-	ADJ
ejpam-6513	240	72	soft	soft	ADJ
ejpam-6513	240	73	sets	set	NOUN
ejpam-6513	240	74	(	(	PUNCT
ejpam-6513	240	75	uγ	uγ	ADV
ejpam-6513	240	76	,	,	PUNCT
ejpam-6513	240	77	as	as	ADP
ejpam-6513	240	78	)	)	PUNCT
ejpam-6513	240	79	in	in	ADP
ejpam-6513	240	80	s	s	PRON
ejpam-6513	240	81	such	such	ADJ
ejpam-6513	240	82	that	that	SCONJ
ejpam-6513	240	83	(	(	PUNCT
ejpam-6513	240	84	vγ	vγ	NOUN
ejpam-6513	240	85	,	,	PUNCT
ejpam-6513	240	86	aq	aq	PROPN
ejpam-6513	240	87	)	)	PUNCT
ejpam-6513	240	88	=	=	SYM
ejpam-6513	240	89	(	(	PUNCT
ejpam-6513	240	90	uγ	uγ	ADV
ejpam-6513	240	91	,	,	PUNCT
ejpam-6513	240	92	as)∩q	as)∩q	ADJ
ejpam-6513	240	93	.	.	PUNCT
ejpam-6513	241	1	as	as	SCONJ
ejpam-6513	241	2	we	we	PRON
ejpam-6513	241	3	now	now	ADV
ejpam-6513	241	4	know	know	VERB
ejpam-6513	241	5	,	,	PUNCT
ejpam-6513	241	6	(	(	PUNCT
ejpam-6513	241	7	u	u	NOUN
ejpam-6513	241	8	,	,	PUNCT
ejpam-6513	241	9	as	as	ADP
ejpam-6513	241	10	)	)	PUNCT
ejpam-6513	241	11	=	=	PRON
ejpam-6513	241	12	{	{	PUNCT
ejpam-6513	241	13	(	(	PUNCT
ejpam-6513	241	14	uγ	uγ	ADV
ejpam-6513	241	15	,	,	PUNCT
ejpam-6513	241	16	as	as	ADP
ejpam-6513	241	17	)	)	PUNCT
ejpam-6513	241	18	:	:	PUNCT
ejpam-6513	241	19	γ	γ	PROPN
ejpam-6513	241	20	∈	∈	PROPN
ejpam-6513	241	21	γ	γ	X
ejpam-6513	241	22	}	}	PUNCT
ejpam-6513	241	23	is	be	AUX
ejpam-6513	241	24	the	the	DET
ejpam-6513	241	25	d	d	ADJ
ejpam-6513	241	26	-	-	ADJ
ejpam-6513	241	27	soft	soft	ADJ
ejpam-6513	241	28	cover	cover	NOUN
ejpam-6513	241	29	of	of	ADP
ejpam-6513	241	30	q	q	NOUN
ejpam-6513	241	31	by	by	ADP
ejpam-6513	241	32	d	d	ADJ
ejpam-6513	241	33	-	-	ADJ
ejpam-6513	241	34	soft	soft	ADJ
ejpam-6513	241	35	sets	set	NOUN
ejpam-6513	241	36	in	in	ADP
ejpam-6513	241	37	s.	s.	PROPN
ejpam-6513	241	38	then	then	ADV
ejpam-6513	241	39	by	by	ADP
ejpam-6513	241	40	assumption	assumption	NOUN
ejpam-6513	241	41	the	the	DET
ejpam-6513	241	42	collection	collection	NOUN
ejpam-6513	241	43	(	(	PUNCT
ejpam-6513	241	44	u	u	NOUN
ejpam-6513	241	45	,	,	PUNCT
ejpam-6513	241	46	as	as	ADP
ejpam-6513	241	47	)	)	PUNCT
ejpam-6513	241	48	has	have	VERB
ejpam-6513	241	49	a	a	DET
ejpam-6513	241	50	finite	finite	ADJ
ejpam-6513	241	51	-	-	ADJ
ejpam-6513	241	52	subcover	subcover	NOUN
ejpam-6513	241	53	{	{	PUNCT
ejpam-6513	241	54	(	(	PUNCT
ejpam-6513	241	55	uγ1	uγ1	PROPN
ejpam-6513	241	56	,	,	PUNCT
ejpam-6513	241	57	as1	as1	NOUN
ejpam-6513	241	58	)	)	PUNCT
ejpam-6513	241	59	,	,	PUNCT
ejpam-6513	241	60	(	(	PUNCT
ejpam-6513	241	61	uγ2	uγ2	PROPN
ejpam-6513	241	62	,	,	PUNCT
ejpam-6513	241	63	as2	as2	PROPN
ejpam-6513	241	64	)	)	PUNCT
ejpam-6513	241	65	,	,	PUNCT
ejpam-6513	241	66	.	.	PUNCT
ejpam-6513	241	67	.	.	PUNCT
ejpam-6513	242	1	.	.	PUNCT
ejpam-6513	243	1	,	,	PUNCT
ejpam-6513	243	2	(	(	PUNCT
ejpam-6513	243	3	uγn	uγn	INTJ
ejpam-6513	243	4	,	,	PUNCT
ejpam-6513	243	5	asn	asn	PROPN
ejpam-6513	243	6	)	)	PUNCT
ejpam-6513	243	7	}	}	PUNCT
ejpam-6513	243	8	.	.	PUNCT
ejpam-6513	244	1	hence	hence	ADV
ejpam-6513	244	2	we	we	PRON
ejpam-6513	244	3	get	get	VERB
ejpam-6513	244	4	that	that	SCONJ
ejpam-6513	244	5	the	the	DET
ejpam-6513	244	6	family	family	NOUN
ejpam-6513	244	7	{	{	PUNCT
ejpam-6513	244	8	(	(	PUNCT
ejpam-6513	244	9	vγ1	vγ1	PROPN
ejpam-6513	244	10	,	,	PUNCT
ejpam-6513	244	11	aq1	aq1	PROPN
ejpam-6513	244	12	)	)	PUNCT
ejpam-6513	244	13	,	,	PUNCT
ejpam-6513	244	14	(	(	PUNCT
ejpam-6513	244	15	vγ2	vγ2	NOUN
ejpam-6513	244	16	,	,	PUNCT
ejpam-6513	244	17	aq2	aq2	PROPN
ejpam-6513	244	18	)	)	PUNCT
ejpam-6513	244	19	,	,	PUNCT
ejpam-6513	244	20	.	.	PUNCT
ejpam-6513	244	21	.	.	PUNCT
ejpam-6513	244	22	.	.	PUNCT
ejpam-6513	245	1	,	,	PUNCT
ejpam-6513	245	2	(	(	PUNCT
ejpam-6513	245	3	vγn	vγn	NOUN
ejpam-6513	245	4	,	,	PUNCT
ejpam-6513	245	5	aqn	aqn	NOUN
ejpam-6513	245	6	)	)	PUNCT
ejpam-6513	245	7	}	}	PUNCT
ejpam-6513	245	8	is	be	AUX
ejpam-6513	245	9	a	a	DET
ejpam-6513	245	10	finite	finite	ADJ
ejpam-6513	245	11	soft	soft	ADJ
ejpam-6513	245	12	-	-	PUNCT
ejpam-6513	245	13	subcover	subcover	NOUN
ejpam-6513	245	14	of	of	ADP
ejpam-6513	245	15	(	(	PUNCT
ejpam-6513	245	16	v	v	NOUN
ejpam-6513	245	17	,	,	PUNCT
ejpam-6513	245	18	aq	aq	NOUN
ejpam-6513	245	19	)	)	PUNCT
ejpam-6513	245	20	for	for	ADP
ejpam-6513	245	21	q	q	NOUN
ejpam-6513	245	22	,	,	PUNCT
ejpam-6513	245	23	because	because	SCONJ
ejpam-6513	245	24	vγi	vγi	ADV
ejpam-6513	245	25	⊆	⊆	NUM
ejpam-6513	245	26	uγi	uγi	PROPN
ejpam-6513	245	27	,	,	PUNCT
ejpam-6513	245	28	for	for	ADP
ejpam-6513	245	29	all	all	DET
ejpam-6513	245	30	γ	γ	PROPN
ejpam-6513	245	31	∈	∈	PROPN
ejpam-6513	245	32	γ	γ	NOUN
ejpam-6513	245	33	and	and	CCONJ
ejpam-6513	245	34	i	i	NOUN
ejpam-6513	245	35	=	=	NOUN
ejpam-6513	245	36	1	1	NUM
ejpam-6513	245	37	,	,	PUNCT
ejpam-6513	245	38	2	2	NUM
ejpam-6513	245	39	,	,	PUNCT
ejpam-6513	245	40	.	.	PUNCT
ejpam-6513	245	41	.	.	PUNCT
ejpam-6513	246	1	.	.	PUNCT
ejpam-6513	247	1	,	,	PUNCT
ejpam-6513	247	2	n.	n.	PROPN
ejpam-6513	247	3	hence	hence	ADV
ejpam-6513	247	4	we	we	PRON
ejpam-6513	247	5	have	have	VERB
ejpam-6513	247	6	the	the	DET
ejpam-6513	247	7	required	require	VERB
ejpam-6513	247	8	.	.	PUNCT
ejpam-6513	248	1	figure	figure	NOUN
ejpam-6513	248	2	4	4	NUM
ejpam-6513	248	3	:	:	PUNCT
ejpam-6513	248	4	the	the	DET
ejpam-6513	248	5	soft	soft	ADJ
ejpam-6513	248	6	subspace	subspace	NOUN
ejpam-6513	248	7	topology	topology	NOUN
ejpam-6513	248	8	of	of	ADP
ejpam-6513	248	9	d	d	NOUN
ejpam-6513	248	10	-	-	ADJ
ejpam-6513	248	11	soft	soft	ADJ
ejpam-6513	248	12	compact	compact	ADJ
ejpam-6513	248	13	space	space	NOUN
ejpam-6513	248	14	.	.	PUNCT
ejpam-6513	249	1	a	a	DET
ejpam-6513	249	2	key	key	ADJ
ejpam-6513	249	3	distinction	distinction	NOUN
ejpam-6513	249	4	between	between	ADP
ejpam-6513	249	5	the	the	DET
ejpam-6513	249	6	soft	soft	ADJ
ejpam-6513	249	7	topological	topological	ADJ
ejpam-6513	249	8	space	space	NOUN
ejpam-6513	249	9	and	and	CCONJ
ejpam-6513	249	10	its	its	PRON
ejpam-6513	249	11	soft	soft	ADJ
ejpam-6513	249	12	subspace	subspace	NOUN
ejpam-6513	249	13	is	be	AUX
ejpam-6513	249	14	depicted	depict	VERB
ejpam-6513	249	15	in	in	ADP
ejpam-6513	249	16	figure	figure	NOUN
ejpam-6513	249	17	4	4	NUM
ejpam-6513	249	18	,	,	PUNCT
ejpam-6513	249	19	in	in	ADP
ejpam-6513	249	20	which	which	PRON
ejpam-6513	249	21	the	the	DET
ejpam-6513	249	22	soft	soft	ADJ
ejpam-6513	249	23	topological	topological	ADJ
ejpam-6513	249	24	subspace	subspace	NOUN
ejpam-6513	249	25	(	(	PUNCT
ejpam-6513	249	26	q	q	X
ejpam-6513	249	27	,	,	PUNCT
ejpam-6513	249	28	υq	υq	PROPN
ejpam-6513	249	29	,	,	PUNCT
ejpam-6513	249	30	aq	aq	NOUN
ejpam-6513	249	31	)	)	PUNCT
ejpam-6513	249	32	of	of	ADP
ejpam-6513	249	33	the	the	DET
ejpam-6513	249	34	d	d	ADJ
ejpam-6513	249	35	-	-	ADJ
ejpam-6513	249	36	soft	soft	ADJ
ejpam-6513	249	37	compact	compact	ADJ
ejpam-6513	249	38	space	space	NOUN
ejpam-6513	249	39	(	(	PUNCT
ejpam-6513	249	40	s	s	NOUN
ejpam-6513	249	41	,	,	PUNCT
ejpam-6513	249	42	υs	υs	ADP
ejpam-6513	249	43	,	,	PUNCT
ejpam-6513	249	44	as	as	ADP
ejpam-6513	249	45	)	)	PUNCT
ejpam-6513	249	46	must	must	AUX
ejpam-6513	249	47	be	be	AUX
ejpam-6513	249	48	d	d	ADJ
ejpam-6513	249	49	-	-	ADJ
ejpam-6513	249	50	soft	soft	ADJ
ejpam-6513	249	51	compact	compact	ADJ
ejpam-6513	249	52	space	space	NOUN
ejpam-6513	249	53	such	such	ADJ
ejpam-6513	249	54	that	that	SCONJ
ejpam-6513	249	55	(	(	PUNCT
ejpam-6513	249	56	u	u	NOUN
ejpam-6513	249	57	,	,	PUNCT
ejpam-6513	249	58	a	a	PRON
ejpam-6513	249	59	)	)	PUNCT
ejpam-6513	249	60	is	be	AUX
ejpam-6513	249	61	d	d	ADJ
ejpam-6513	249	62	-	-	ADJ
ejpam-6513	249	63	soft	soft	ADJ
ejpam-6513	249	64	cover	cover	NOUN
ejpam-6513	249	65	of	of	ADP
ejpam-6513	249	66	the	the	DET
ejpam-6513	249	67	soft	soft	ADJ
ejpam-6513	249	68	topological	topological	ADJ
ejpam-6513	249	69	subspace	subspace	NOUN
ejpam-6513	249	70	(	(	PUNCT
ejpam-6513	249	71	q	q	X
ejpam-6513	249	72	,	,	PUNCT
ejpam-6513	249	73	υq	υq	PROPN
ejpam-6513	249	74	,	,	PUNCT
ejpam-6513	249	75	aq	aq	X
ejpam-6513	249	76	)	)	PUNCT
ejpam-6513	249	77	has	have	VERB
ejpam-6513	249	78	a	a	DET
ejpam-6513	249	79	finite	finite	ADJ
ejpam-6513	249	80	soft	soft	ADJ
ejpam-6513	249	81	-	-	PUNCT
ejpam-6513	249	82	subcover	subcover	NOUN
ejpam-6513	249	83	,	,	PUNCT
ejpam-6513	249	84	for	for	ADP
ejpam-6513	249	85	any	any	DET
ejpam-6513	249	86	d	d	ADJ
ejpam-6513	249	87	-	-	ADJ
ejpam-6513	249	88	soft	soft	ADJ
ejpam-6513	249	89	sets	set	NOUN
ejpam-6513	249	90	in	in	ADP
ejpam-6513	249	91	the	the	DET
ejpam-6513	249	92	space	space	NOUN
ejpam-6513	249	93	(	(	PUNCT
ejpam-6513	249	94	s	s	NOUN
ejpam-6513	249	95	,	,	PUNCT
ejpam-6513	249	96	υs	υs	ADP
ejpam-6513	249	97	,	,	PUNCT
ejpam-6513	249	98	as	as	ADP
ejpam-6513	249	99	)	)	PUNCT
ejpam-6513	249	100	.	.	PUNCT
ejpam-6513	250	1	corollary	corollary	ADJ
ejpam-6513	250	2	3	3	X
ejpam-6513	250	3	.	.	PUNCT
ejpam-6513	251	1	if	if	SCONJ
ejpam-6513	251	2	(	(	PUNCT
ejpam-6513	251	3	q	q	X
ejpam-6513	251	4	,	,	PUNCT
ejpam-6513	251	5	υq	υq	PROPN
ejpam-6513	251	6	,	,	PUNCT
ejpam-6513	251	7	aq	aq	X
ejpam-6513	251	8	)	)	PUNCT
ejpam-6513	251	9	is	be	AUX
ejpam-6513	251	10	a	a	DET
ejpam-6513	251	11	d	d	ADJ
ejpam-6513	251	12	-	-	ADJ
ejpam-6513	251	13	soft	soft	ADJ
ejpam-6513	251	14	compact	compact	ADJ
ejpam-6513	251	15	space	space	NOUN
ejpam-6513	251	16	,	,	PUNCT
ejpam-6513	251	17	then	then	ADV
ejpam-6513	251	18	any	any	DET
ejpam-6513	251	19	soft	soft	ADJ
ejpam-6513	251	20	-	-	PUNCT
ejpam-6513	251	21	open	open	ADJ
ejpam-6513	251	22	cover	cover	NOUN
ejpam-6513	251	23	of	of	ADP
ejpam-6513	251	24	q	q	NOUN
ejpam-6513	251	25	by	by	ADP
ejpam-6513	251	26	soft	soft	ADJ
ejpam-6513	251	27	-	-	PUNCT
ejpam-6513	251	28	open	open	ADJ
ejpam-6513	251	29	sets	set	NOUN
ejpam-6513	251	30	in	in	ADP
ejpam-6513	251	31	s	s	PROPN
ejpam-6513	251	32	has	have	VERB
ejpam-6513	251	33	a	a	DET
ejpam-6513	251	34	finite	finite	ADJ
ejpam-6513	251	35	soft	soft	ADJ
ejpam-6513	251	36	-	-	PUNCT
ejpam-6513	251	37	subcover	subcover	NOUN
ejpam-6513	251	38	.	.	PUNCT
ejpam-6513	252	1	theorem	theorem	VERB
ejpam-6513	252	2	5	5	NUM
ejpam-6513	252	3	.	.	PUNCT
ejpam-6513	253	1	let	let	VERB
ejpam-6513	253	2	(	(	PUNCT
ejpam-6513	253	3	s	s	X
ejpam-6513	253	4	,	,	PUNCT
ejpam-6513	253	5	υ1	υ1	ADJ
ejpam-6513	253	6	,	,	PUNCT
ejpam-6513	253	7	a1	a1	NOUN
ejpam-6513	253	8	)	)	PUNCT
ejpam-6513	253	9	and	and	CCONJ
ejpam-6513	253	10	(	(	PUNCT
ejpam-6513	253	11	s	s	X
ejpam-6513	253	12	,	,	PUNCT
ejpam-6513	253	13	υ2	υ2	NOUN
ejpam-6513	253	14	,	,	PUNCT
ejpam-6513	253	15	a2	a2	PROPN
ejpam-6513	253	16	)	)	PUNCT
ejpam-6513	253	17	be	be	VERB
ejpam-6513	253	18	two	two	NUM
ejpam-6513	253	19	soft	soft	ADJ
ejpam-6513	253	20	topological	topological	ADJ
ejpam-6513	253	21	spaces	space	NOUN
ejpam-6513	253	22	.	.	PUNCT
ejpam-6513	254	1	if	if	SCONJ
ejpam-6513	254	2	(	(	PUNCT
ejpam-6513	254	3	s	s	X
ejpam-6513	254	4	,	,	PUNCT
ejpam-6513	254	5	υ2	υ2	NOUN
ejpam-6513	254	6	,	,	PUNCT
ejpam-6513	254	7	a2	a2	PROPN
ejpam-6513	254	8	)	)	PUNCT
ejpam-6513	254	9	is	be	AUX
ejpam-6513	254	10	d	d	ADJ
ejpam-6513	254	11	-	-	ADJ
ejpam-6513	254	12	soft	soft	ADJ
ejpam-6513	254	13	compact	compact	ADJ
ejpam-6513	254	14	and	and	CCONJ
ejpam-6513	254	15	(	(	PUNCT
ejpam-6513	254	16	υ1	υ1	PROPN
ejpam-6513	254	17	,	,	PUNCT
ejpam-6513	254	18	a1	a1	PROPN
ejpam-6513	254	19	)	)	PUNCT
ejpam-6513	254	20	⊆	⊆	NUM
ejpam-6513	254	21	(	(	PUNCT
ejpam-6513	254	22	υ2	υ2	NOUN
ejpam-6513	254	23	,	,	PUNCT
ejpam-6513	254	24	a2	a2	PROPN
ejpam-6513	254	25	)	)	PUNCT
ejpam-6513	254	26	,	,	PUNCT
ejpam-6513	254	27	then	then	ADV
ejpam-6513	254	28	(	(	PUNCT
ejpam-6513	254	29	s	s	X
ejpam-6513	254	30	,	,	PUNCT
ejpam-6513	254	31	υ1	υ1	ADJ
ejpam-6513	254	32	,	,	PUNCT
ejpam-6513	254	33	a1	a1	NOUN
ejpam-6513	254	34	)	)	PUNCT
ejpam-6513	254	35	is	be	AUX
ejpam-6513	254	36	a	a	DET
ejpam-6513	254	37	d	d	ADJ
ejpam-6513	254	38	-	-	ADJ
ejpam-6513	254	39	soft	soft	ADJ
ejpam-6513	254	40	compact	compact	ADJ
ejpam-6513	254	41	space	space	NOUN
ejpam-6513	254	42	.	.	PUNCT
ejpam-6513	255	1	j.	j.	PROPN
ejpam-6513	255	2	oudetallah	oudetallah	PROPN
ejpam-6513	255	3	et	et	PROPN
ejpam-6513	255	4	al	al	PROPN
ejpam-6513	255	5	.	.	PUNCT
ejpam-6513	255	6	/	/	SYM
ejpam-6513	255	7	eur	eur	PROPN
ejpam-6513	255	8	.	.	PUNCT
ejpam-6513	256	1	j.	j.	PROPN
ejpam-6513	256	2	pure	pure	PROPN
ejpam-6513	256	3	appl	appl	PROPN
ejpam-6513	256	4	.	.	PROPN
ejpam-6513	256	5	math	math	PROPN
ejpam-6513	256	6	,	,	PUNCT
ejpam-6513	256	7	18	18	NUM
ejpam-6513	256	8	(	(	PUNCT
ejpam-6513	256	9	3	3	NUM
ejpam-6513	256	10	)	)	PUNCT
ejpam-6513	256	11	(	(	PUNCT
ejpam-6513	256	12	2025	2025	NUM
ejpam-6513	256	13	)	)	PUNCT
ejpam-6513	256	14	,	,	PUNCT
ejpam-6513	256	15	6513	6513	NUM
ejpam-6513	256	16	11	11	NUM
ejpam-6513	256	17	of	of	ADP
ejpam-6513	256	18	14	14	NUM
ejpam-6513	256	19	proof	proof	NOUN
ejpam-6513	256	20	.	.	PUNCT
ejpam-6513	257	1	let	let	VERB
ejpam-6513	257	2	(	(	PUNCT
ejpam-6513	257	3	u	u	NOUN
ejpam-6513	257	4	,	,	PUNCT
ejpam-6513	257	5	a1	a1	NOUN
ejpam-6513	257	6	)	)	PUNCT
ejpam-6513	257	7	=	=	PRON
ejpam-6513	257	8	{	{	PUNCT
ejpam-6513	257	9	(	(	PUNCT
ejpam-6513	257	10	uγ	uγ	ADV
ejpam-6513	257	11	,	,	PUNCT
ejpam-6513	257	12	a1	a1	PROPN
ejpam-6513	257	13	)	)	PUNCT
ejpam-6513	257	14	:	:	PUNCT
ejpam-6513	257	15	γ	γ	PROPN
ejpam-6513	257	16	∈	∈	PROPN
ejpam-6513	257	17	γ	γ	AUX
ejpam-6513	257	18	}	}	PUNCT
ejpam-6513	257	19	be	be	AUX
ejpam-6513	257	20	a	a	DET
ejpam-6513	257	21	d	d	ADJ
ejpam-6513	257	22	-	-	ADJ
ejpam-6513	257	23	soft	soft	ADJ
ejpam-6513	257	24	cover	cover	NOUN
ejpam-6513	257	25	of	of	ADP
ejpam-6513	257	26	(	(	PUNCT
ejpam-6513	257	27	s	s	X
ejpam-6513	257	28	,	,	PUNCT
ejpam-6513	257	29	υ1	υ1	ADJ
ejpam-6513	257	30	,	,	PUNCT
ejpam-6513	257	31	a1	a1	NOUN
ejpam-6513	257	32	)	)	PUNCT
ejpam-6513	257	33	.	.	PUNCT
ejpam-6513	258	1	then	then	ADV
ejpam-6513	258	2	we	we	PRON
ejpam-6513	258	3	get	get	VERB
ejpam-6513	258	4	that	that	PRON
ejpam-6513	258	5	(	(	PUNCT
ejpam-6513	258	6	u	u	NOUN
ejpam-6513	258	7	,	,	PUNCT
ejpam-6513	258	8	a1	a1	NOUN
ejpam-6513	258	9	)	)	PUNCT
ejpam-6513	258	10	is	be	AUX
ejpam-6513	258	11	also	also	ADV
ejpam-6513	258	12	d	d	ADJ
ejpam-6513	258	13	-	-	PUNCT
ejpam-6513	258	14	soft	soft	ADJ
ejpam-6513	258	15	cover	cover	NOUN
ejpam-6513	258	16	of	of	ADP
ejpam-6513	258	17	(	(	PUNCT
ejpam-6513	258	18	s	s	X
ejpam-6513	258	19	,	,	PUNCT
ejpam-6513	258	20	υ2	υ2	NOUN
ejpam-6513	258	21	,	,	PUNCT
ejpam-6513	258	22	a2	a2	PROPN
ejpam-6513	258	23	)	)	PUNCT
ejpam-6513	258	24	,	,	PUNCT
ejpam-6513	258	25	because	because	SCONJ
ejpam-6513	258	26	(	(	PUNCT
ejpam-6513	258	27	υ1	υ1	PROPN
ejpam-6513	258	28	,	,	PUNCT
ejpam-6513	258	29	a1	a1	PROPN
ejpam-6513	258	30	)	)	PUNCT
ejpam-6513	258	31	⊆	⊆	NUM
ejpam-6513	258	32	(	(	PUNCT
ejpam-6513	258	33	υ2	υ2	NOUN
ejpam-6513	258	34	,	,	PUNCT
ejpam-6513	258	35	a2	a2	PROPN
ejpam-6513	258	36	)	)	PUNCT
ejpam-6513	258	37	,	,	PUNCT
ejpam-6513	258	38	so	so	CCONJ
ejpam-6513	258	39	it	it	PRON
ejpam-6513	258	40	has	have	AUX
ejpam-6513	258	41	finite	finite	VERB
ejpam-6513	258	42	soft	soft	ADJ
ejpam-6513	258	43	-	-	PUNCT
ejpam-6513	258	44	subcover	subcover	NOUN
ejpam-6513	258	45	,	,	PUNCT
ejpam-6513	258	46	hence	hence	ADV
ejpam-6513	258	47	we	we	PRON
ejpam-6513	258	48	have	have	VERB
ejpam-6513	258	49	the	the	DET
ejpam-6513	258	50	required	require	VERB
ejpam-6513	258	51	that	that	SCONJ
ejpam-6513	258	52	the	the	DET
ejpam-6513	258	53	space	space	NOUN
ejpam-6513	258	54	(	(	PUNCT
ejpam-6513	258	55	s	s	X
ejpam-6513	258	56	,	,	PUNCT
ejpam-6513	258	57	υ1	υ1	ADJ
ejpam-6513	258	58	,	,	PUNCT
ejpam-6513	258	59	a1	a1	NOUN
ejpam-6513	258	60	)	)	PUNCT
ejpam-6513	258	61	is	be	AUX
ejpam-6513	258	62	d	d	ADJ
ejpam-6513	258	63	-	-	ADJ
ejpam-6513	258	64	soft	soft	ADJ
ejpam-6513	258	65	compact	compact	ADJ
ejpam-6513	258	66	.	.	PUNCT
ejpam-6513	259	1	theorem	theorem	VERB
ejpam-6513	259	2	6	6	NUM
ejpam-6513	259	3	.	.	PUNCT
ejpam-6513	260	1	all	all	PRON
ejpam-6513	260	2	of	of	ADP
ejpam-6513	260	3	the	the	DET
ejpam-6513	260	4	d	d	ADJ
ejpam-6513	260	5	-	-	ADJ
ejpam-6513	260	6	soft	soft	ADJ
ejpam-6513	260	7	compact	compact	ADJ
ejpam-6513	260	8	subspaces	subspace	NOUN
ejpam-6513	260	9	are	be	AUX
ejpam-6513	260	10	closed	close	VERB
ejpam-6513	260	11	soft	soft	ADJ
ejpam-6513	260	12	spaces	space	NOUN
ejpam-6513	260	13	of	of	ADP
ejpam-6513	260	14	d	d	NOUN
ejpam-6513	260	15	-	-	ADJ
ejpam-6513	260	16	soft	soft	ADJ
ejpam-6513	260	17	compact	compact	ADJ
ejpam-6513	260	18	spaces	space	NOUN
ejpam-6513	260	19	.	.	PUNCT
ejpam-6513	261	1	proof	proof	NOUN
ejpam-6513	261	2	.	.	PUNCT
ejpam-6513	262	1	assume	assume	VERB
ejpam-6513	262	2	that	that	SCONJ
ejpam-6513	262	3	s	s	VERB
ejpam-6513	262	4	is	be	AUX
ejpam-6513	262	5	a	a	DET
ejpam-6513	262	6	d	d	ADJ
ejpam-6513	262	7	-	-	ADJ
ejpam-6513	262	8	soft	soft	ADJ
ejpam-6513	262	9	compact	compact	ADJ
ejpam-6513	262	10	space	space	NOUN
ejpam-6513	262	11	and	and	CCONJ
ejpam-6513	263	1	q	q	PROPN
ejpam-6513	263	2	⊂	⊂	PROPN
ejpam-6513	263	3	s	s	X
ejpam-6513	263	4	is	be	AUX
ejpam-6513	263	5	a	a	DET
ejpam-6513	263	6	closed	closed	ADJ
ejpam-6513	263	7	set	set	NOUN
ejpam-6513	263	8	.	.	PUNCT
ejpam-6513	264	1	let	let	VERB
ejpam-6513	264	2	(	(	PUNCT
ejpam-6513	264	3	u	u	NOUN
ejpam-6513	264	4	,	,	PUNCT
ejpam-6513	264	5	a	a	PRON
ejpam-6513	264	6	)	)	PUNCT
ejpam-6513	264	7	=	=	SYM
ejpam-6513	264	8	(	(	PUNCT
ejpam-6513	264	9	(	(	PUNCT
ejpam-6513	264	10	aγ	aγ	INTJ
ejpam-6513	264	11	,	,	PUNCT
ejpam-6513	264	12	a	a	X
ejpam-6513	264	13	)	)	PUNCT
ejpam-6513	264	14	:	:	PUNCT
ejpam-6513	265	1	γ	γ	PROPN
ejpam-6513	265	2	∈	∈	PROPN
ejpam-6513	265	3	γ	γ	X
ejpam-6513	265	4	)	)	PUNCT
ejpam-6513	265	5	.	.	PUNCT
ejpam-6513	266	1	given	give	VERB
ejpam-6513	266	2	a	a	DET
ejpam-6513	266	3	d	d	ADJ
ejpam-6513	266	4	-	-	ADJ
ejpam-6513	266	5	soft	soft	ADJ
ejpam-6513	266	6	cover	cover	NOUN
ejpam-6513	266	7	of	of	ADP
ejpam-6513	266	8	q	q	NOUN
ejpam-6513	266	9	by	by	ADP
ejpam-6513	266	10	d	d	ADJ
ejpam-6513	266	11	-	-	ADJ
ejpam-6513	266	12	soft	soft	ADJ
ejpam-6513	266	13	sets	set	NOUN
ejpam-6513	266	14	of	of	ADP
ejpam-6513	266	15	s.	s.	PROPN
ejpam-6513	266	16	when	when	SCONJ
ejpam-6513	266	17	s	s	NOUN
ejpam-6513	266	18	is	be	AUX
ejpam-6513	266	19	d	d	PRON
ejpam-6513	266	20	soft	soft	ADJ
ejpam-6513	266	21	compact	compact	NOUN
ejpam-6513	266	22	(	(	PUNCT
ejpam-6513	266	23	which	which	PRON
ejpam-6513	266	24	we	we	PRON
ejpam-6513	266	25	denote	denote	VERB
ejpam-6513	266	26	by	by	ADP
ejpam-6513	266	27	writing	write	VERB
ejpam-6513	266	28	sc	sc	PROPN
ejpam-6513	266	29	as	as	ADP
ejpam-6513	266	30	a	a	DET
ejpam-6513	266	31	d	d	PROPN
ejpam-6513	266	32	soft	soft	ADJ
ejpam-6513	266	33	cover	cover	NOUN
ejpam-6513	266	34	)	)	PUNCT
ejpam-6513	266	35	,	,	PUNCT
ejpam-6513	266	36	so	so	ADV
ejpam-6513	266	37	is	be	AUX
ejpam-6513	266	38	its	its	PRON
ejpam-6513	266	39	collection	collection	NOUN
ejpam-6513	266	40	(	(	PUNCT
ejpam-6513	266	41	u	u	NOUN
ejpam-6513	266	42	,	,	PUNCT
ejpam-6513	266	43	a)∩{s−q	a)∩{s−q	X
ejpam-6513	266	44	}	}	PUNCT
ejpam-6513	266	45	,	,	PUNCT
ejpam-6513	266	46	and	and	CCONJ
ejpam-6513	266	47	we	we	PRON
ejpam-6513	266	48	will	will	AUX
ejpam-6513	266	49	have	have	VERB
ejpam-6513	266	50	a	a	DET
ejpam-6513	266	51	finite	finite	ADJ
ejpam-6513	266	52	soft	soft	ADJ
ejpam-6513	266	53	sub	sub	NOUN
ejpam-6513	266	54	cover	cover	NOUN
ejpam-6513	266	55	of	of	ADP
ejpam-6513	266	56	that	that	DET
ejpam-6513	266	57	family	family	NOUN
ejpam-6513	266	58	,	,	PUNCT
ejpam-6513	266	59	or	or	CCONJ
ejpam-6513	266	60	,	,	PUNCT
ejpam-6513	266	61	we	we	PRON
ejpam-6513	266	62	have	have	VERB
ejpam-6513	266	63	a	a	DET
ejpam-6513	266	64	d	d	ADV
ejpam-6513	266	65	soft	soft	ADJ
ejpam-6513	266	66	cover	cover	NOUN
ejpam-6513	266	67	to	to	ADP
ejpam-6513	266	68	the	the	DET
ejpam-6513	266	69	problem	problem	NOUN
ejpam-6513	266	70	,	,	PUNCT
ejpam-6513	266	71	that	that	ADV
ejpam-6513	266	72	is	is	ADV
ejpam-6513	266	73	(	(	PUNCT
ejpam-6513	266	74	u	u	NOUN
ejpam-6513	266	75	,	,	PUNCT
ejpam-6513	266	76	a)∗	a)∗	PROPN
ejpam-6513	266	77	,	,	PUNCT
ejpam-6513	266	78	of	of	ADP
ejpam-6513	266	79	finite	finite	ADJ
ejpam-6513	266	80	size	size	NOUN
ejpam-6513	266	81	.	.	PUNCT
ejpam-6513	267	1	now	now	ADV
ejpam-6513	267	2	the	the	DET
ejpam-6513	267	3	collection	collection	NOUN
ejpam-6513	267	4	(	(	PUNCT
ejpam-6513	267	5	u	u	NOUN
ejpam-6513	267	6	,	,	PUNCT
ejpam-6513	267	7	a)∗	a)∗	PROPN
ejpam-6513	267	8	−	−	PROPN
ejpam-6513	268	1	{	{	PUNCT
ejpam-6513	268	2	s	s	NOUN
ejpam-6513	268	3	−q	−q	NOUN
ejpam-6513	268	4	}	}	PUNCT
ejpam-6513	268	5	is	be	AUX
ejpam-6513	268	6	a	a	DET
ejpam-6513	268	7	finite	finite	ADJ
ejpam-6513	268	8	soft	soft	ADJ
ejpam-6513	268	9	subcover	subcover	NOUN
ejpam-6513	268	10	of	of	ADP
ejpam-6513	268	11	(	(	PUNCT
ejpam-6513	268	12	u	u	NOUN
ejpam-6513	268	13	,	,	PUNCT
ejpam-6513	268	14	a	a	PRON
ejpam-6513	268	15	)	)	PUNCT
ejpam-6513	268	16	for	for	ADP
ejpam-6513	268	17	q.	q.	PROPN
ejpam-6513	268	18	thus	thus	ADV
ejpam-6513	268	19	,	,	PUNCT
ejpam-6513	268	20	we	we	PRON
ejpam-6513	268	21	have	have	VERB
ejpam-6513	268	22	what	what	PRON
ejpam-6513	268	23	is	be	AUX
ejpam-6513	268	24	needed	need	VERB
ejpam-6513	268	25	.	.	PUNCT
ejpam-6513	269	1	4	4	X
ejpam-6513	269	2	.	.	X
ejpam-6513	269	3	conclusion	conclusion	NOUN
ejpam-6513	269	4	in	in	ADP
ejpam-6513	269	5	this	this	DET
ejpam-6513	269	6	paper	paper	NOUN
ejpam-6513	269	7	,	,	PUNCT
ejpam-6513	269	8	we	we	PRON
ejpam-6513	269	9	have	have	AUX
ejpam-6513	269	10	introduced	introduce	VERB
ejpam-6513	269	11	and	and	CCONJ
ejpam-6513	269	12	investigated	investigate	VERB
ejpam-6513	269	13	the	the	DET
ejpam-6513	269	14	concept	concept	NOUN
ejpam-6513	269	15	of	of	ADP
ejpam-6513	269	16	d	d	NOUN
ejpam-6513	269	17	-	-	ADJ
ejpam-6513	269	18	soft	soft	ADJ
ejpam-6513	269	19	compact	compact	ADJ
ejpam-6513	269	20	spaces	space	NOUN
ejpam-6513	269	21	,	,	PUNCT
ejpam-6513	269	22	providing	provide	VERB
ejpam-6513	269	23	a	a	DET
ejpam-6513	269	24	new	new	ADJ
ejpam-6513	269	25	perspective	perspective	NOUN
ejpam-6513	269	26	on	on	ADP
ejpam-6513	269	27	compactness	compactness	NOUN
ejpam-6513	269	28	in	in	ADP
ejpam-6513	269	29	soft	soft	ADJ
ejpam-6513	269	30	topological	topological	ADJ
ejpam-6513	269	31	spaces	space	NOUN
ejpam-6513	269	32	.	.	PUNCT
ejpam-6513	270	1	using	use	VERB
ejpam-6513	270	2	the	the	DET
ejpam-6513	270	3	novel	novel	ADJ
ejpam-6513	270	4	concept	concept	NOUN
ejpam-6513	270	5	of	of	ADP
ejpam-6513	270	6	d	d	NOUN
ejpam-6513	270	7	-	-	ADJ
ejpam-6513	270	8	soft	soft	ADJ
ejpam-6513	270	9	cover	cover	NOUN
ejpam-6513	270	10	,	,	PUNCT
ejpam-6513	270	11	we	we	PRON
ejpam-6513	270	12	have	have	AUX
ejpam-6513	270	13	established	establish	VERB
ejpam-6513	270	14	a	a	DET
ejpam-6513	270	15	framework	framework	NOUN
ejpam-6513	270	16	that	that	PRON
ejpam-6513	270	17	generalizes	generalize	VERB
ejpam-6513	270	18	classical	classical	ADJ
ejpam-6513	270	19	compactness	compactness	NOUN
ejpam-6513	270	20	while	while	SCONJ
ejpam-6513	270	21	addressing	address	VERB
ejpam-6513	270	22	limitations	limitation	NOUN
ejpam-6513	270	23	in	in	ADP
ejpam-6513	270	24	existing	exist	VERB
ejpam-6513	270	25	soft	soft	ADJ
ejpam-6513	270	26	topology	topology	NOUN
ejpam-6513	270	27	literature	literature	NOUN
ejpam-6513	270	28	.	.	PUNCT
ejpam-6513	271	1	our	our	PRON
ejpam-6513	271	2	main	main	ADJ
ejpam-6513	271	3	contributions	contribution	NOUN
ejpam-6513	271	4	include	include	VERB
ejpam-6513	271	5	:	:	PUNCT
ejpam-6513	271	6	•	•	ADP
ejpam-6513	271	7	the	the	DET
ejpam-6513	271	8	introduction	introduction	NOUN
ejpam-6513	271	9	of	of	ADP
ejpam-6513	271	10	d	d	NOUN
ejpam-6513	271	11	-	-	ADJ
ejpam-6513	271	12	soft	soft	ADJ
ejpam-6513	271	13	covers	cover	NOUN
ejpam-6513	271	14	as	as	ADP
ejpam-6513	271	15	a	a	DET
ejpam-6513	271	16	new	new	ADJ
ejpam-6513	271	17	type	type	NOUN
ejpam-6513	271	18	of	of	ADP
ejpam-6513	271	19	covering	covering	NOUN
ejpam-6513	271	20	in	in	ADP
ejpam-6513	271	21	soft	soft	ADJ
ejpam-6513	271	22	topology	topology	NOUN
ejpam-6513	271	23	•	•	ADP
ejpam-6513	271	24	the	the	DET
ejpam-6513	271	25	definition	definition	NOUN
ejpam-6513	271	26	and	and	CCONJ
ejpam-6513	271	27	characterization	characterization	NOUN
ejpam-6513	271	28	of	of	ADP
ejpam-6513	271	29	d	d	NOUN
ejpam-6513	271	30	-	-	ADJ
ejpam-6513	271	31	soft	soft	ADJ
ejpam-6513	271	32	compact	compact	ADJ
ejpam-6513	271	33	spaces	space	NOUN
ejpam-6513	271	34	•	•	NOUN
ejpam-6513	271	35	proof	proof	NOUN
ejpam-6513	271	36	that	that	SCONJ
ejpam-6513	271	37	d	d	X
ejpam-6513	271	38	-	-	PUNCT
ejpam-6513	271	39	soft	soft	ADJ
ejpam-6513	271	40	compactness	compactness	NOUN
ejpam-6513	271	41	implies	imply	VERB
ejpam-6513	271	42	soft	soft	ADJ
ejpam-6513	271	43	compactness	compactness	NOUN
ejpam-6513	271	44	,	,	PUNCT
ejpam-6513	271	45	with	with	ADP
ejpam-6513	271	46	the	the	DET
ejpam-6513	271	47	converse	converse	NOUN
ejpam-6513	271	48	holding	holding	NOUN
ejpam-6513	271	49	in	in	ADP
ejpam-6513	271	50	soft	soft	ADJ
ejpam-6513	271	51	locally	locally	ADV
ejpam-6513	271	52	indiscrete	indiscrete	ADJ
ejpam-6513	271	53	spaces	space	NOUN
ejpam-6513	271	54	•	•	PRON
ejpam-6513	271	55	investigation	investigation	NOUN
ejpam-6513	271	56	of	of	ADP
ejpam-6513	271	57	hereditary	hereditary	ADJ
ejpam-6513	271	58	properties	property	NOUN
ejpam-6513	271	59	and	and	CCONJ
ejpam-6513	271	60	behavior	behavior	NOUN
ejpam-6513	271	61	under	under	ADP
ejpam-6513	271	62	continuous	continuous	ADJ
ejpam-6513	271	63	mappings	mapping	NOUN
ejpam-6513	271	64	•	•	ADP
ejpam-6513	271	65	illustrative	illustrative	ADJ
ejpam-6513	271	66	examples	example	NOUN
ejpam-6513	271	67	distinguishing	distinguish	VERB
ejpam-6513	271	68	d	d	NOUN
ejpam-6513	271	69	-	-	ADJ
ejpam-6513	271	70	soft	soft	ADJ
ejpam-6513	271	71	compactness	compactness	NOUN
ejpam-6513	271	72	from	from	ADP
ejpam-6513	271	73	soft	soft	ADJ
ejpam-6513	271	74	compactness	compactness	NOUN
ejpam-6513	271	75	the	the	DET
ejpam-6513	271	76	results	result	NOUN
ejpam-6513	271	77	obtained	obtain	VERB
ejpam-6513	271	78	show	show	VERB
ejpam-6513	271	79	that	that	SCONJ
ejpam-6513	271	80	d	d	ADJ
ejpam-6513	271	81	-	-	ADJ
ejpam-6513	271	82	soft	soft	ADJ
ejpam-6513	271	83	compact	compact	ADJ
ejpam-6513	271	84	spaces	space	NOUN
ejpam-6513	271	85	not	not	PART
ejpam-6513	271	86	only	only	ADV
ejpam-6513	271	87	enhance	enhance	VERB
ejpam-6513	271	88	the	the	DET
ejpam-6513	271	89	theoretical	theoretical	ADJ
ejpam-6513	271	90	foundation	foundation	NOUN
ejpam-6513	271	91	of	of	ADP
ejpam-6513	271	92	soft	soft	ADJ
ejpam-6513	271	93	set	set	NOUN
ejpam-6513	271	94	theory	theory	NOUN
ejpam-6513	271	95	but	but	CCONJ
ejpam-6513	271	96	also	also	ADV
ejpam-6513	271	97	open	open	VERB
ejpam-6513	271	98	new	new	ADJ
ejpam-6513	271	99	avenues	avenue	NOUN
ejpam-6513	271	100	for	for	ADP
ejpam-6513	271	101	applications	application	NOUN
ejpam-6513	271	102	in	in	ADP
ejpam-6513	271	103	fields	field	NOUN
ejpam-6513	271	104	requiring	require	VERB
ejpam-6513	271	105	uncertainty	uncertainty	NOUN
ejpam-6513	271	106	modeling	modeling	NOUN
ejpam-6513	271	107	,	,	PUNCT
ejpam-6513	271	108	such	such	ADJ
ejpam-6513	271	109	as	as	ADP
ejpam-6513	271	110	computer	computer	NOUN
ejpam-6513	271	111	science	science	NOUN
ejpam-6513	271	112	and	and	CCONJ
ejpam-6513	271	113	decision	decision	NOUN
ejpam-6513	271	114	-	-	PUNCT
ejpam-6513	271	115	support	support	NOUN
ejpam-6513	271	116	systems	system	NOUN
ejpam-6513	271	117	.	.	PUNCT
ejpam-6513	272	1	the	the	DET
ejpam-6513	272	2	framework	framework	NOUN
ejpam-6513	272	3	developed	develop	VERB
ejpam-6513	272	4	here	here	ADV
ejpam-6513	272	5	provides	provide	VERB
ejpam-6513	272	6	an	an	DET
ejpam-6513	272	7	efficient	efficient	ADJ
ejpam-6513	272	8	and	and	CCONJ
ejpam-6513	272	9	innovative	innovative	ADJ
ejpam-6513	272	10	contribution	contribution	NOUN
ejpam-6513	272	11	to	to	ADP
ejpam-6513	272	12	the	the	DET
ejpam-6513	272	13	evolving	evolve	VERB
ejpam-6513	272	14	field	field	NOUN
ejpam-6513	272	15	of	of	ADP
ejpam-6513	272	16	soft	soft	ADJ
ejpam-6513	272	17	topology	topology	NOUN
ejpam-6513	272	18	and	and	CCONJ
ejpam-6513	272	19	encourages	encourage	VERB
ejpam-6513	272	20	further	further	ADJ
ejpam-6513	272	21	research	research	NOUN
ejpam-6513	272	22	into	into	ADP
ejpam-6513	272	23	the	the	DET
ejpam-6513	272	24	structural	structural	ADJ
ejpam-6513	272	25	characteristics	characteristic	NOUN
ejpam-6513	272	26	and	and	CCONJ
ejpam-6513	272	27	interrelationships	interrelationship	NOUN
ejpam-6513	272	28	of	of	ADP
ejpam-6513	272	29	soft	soft	ADJ
ejpam-6513	272	30	compact	compact	ADJ
ejpam-6513	272	31	spaces	space	NOUN
ejpam-6513	272	32	.	.	PUNCT
ejpam-6513	273	1	the	the	DET
ejpam-6513	273	2	study	study	NOUN
ejpam-6513	273	3	of	of	ADP
ejpam-6513	273	4	d	d	ADJ
ejpam-6513	273	5	-	-	ADJ
ejpam-6513	273	6	soft	soft	ADJ
ejpam-6513	273	7	compact	compact	ADJ
ejpam-6513	273	8	spaces	space	NOUN
ejpam-6513	273	9	opens	open	VERB
ejpam-6513	273	10	several	several	ADJ
ejpam-6513	273	11	promising	promising	ADJ
ejpam-6513	273	12	research	research	NOUN
ejpam-6513	273	13	directions	direction	NOUN
ejpam-6513	273	14	:	:	PUNCT
ejpam-6513	273	15	(	(	PUNCT
ejpam-6513	273	16	i	i	NOUN
ejpam-6513	273	17	)	)	PUNCT
ejpam-6513	273	18	extension	extension	NOUN
ejpam-6513	273	19	to	to	ADP
ejpam-6513	273	20	other	other	ADJ
ejpam-6513	273	21	covering	cover	VERB
ejpam-6513	273	22	properties	property	NOUN
ejpam-6513	273	23	:	:	PUNCT
ejpam-6513	273	24	future	future	ADJ
ejpam-6513	273	25	studies	study	NOUN
ejpam-6513	273	26	could	could	AUX
ejpam-6513	273	27	focus	focus	VERB
ejpam-6513	273	28	on	on	ADP
ejpam-6513	273	29	expanding	expand	VERB
ejpam-6513	273	30	d	d	NOUN
ejpam-6513	273	31	-	-	ADJ
ejpam-6513	273	32	soft	soft	ADJ
ejpam-6513	273	33	compactness	compactness	NOUN
ejpam-6513	273	34	into	into	ADP
ejpam-6513	273	35	more	more	ADV
ejpam-6513	273	36	complex	complex	ADJ
ejpam-6513	273	37	soft	soft	ADJ
ejpam-6513	273	38	topological	topological	ADJ
ejpam-6513	273	39	frameworks	framework	NOUN
ejpam-6513	273	40	,	,	PUNCT
ejpam-6513	273	41	such	such	ADJ
ejpam-6513	273	42	as	as	ADP
ejpam-6513	273	43	d	d	NOUN
ejpam-6513	273	44	-	-	ADJ
ejpam-6513	273	45	soft	soft	ADJ
ejpam-6513	273	46	lindelofness	lindelofness	NOUN
ejpam-6513	273	47	and	and	CCONJ
ejpam-6513	273	48	d	d	NOUN
ejpam-6513	273	49	-	-	ADJ
ejpam-6513	273	50	soft	soft	ADJ
ejpam-6513	273	51	metacompactness	metacompactness	NOUN
ejpam-6513	273	52	,	,	PUNCT
ejpam-6513	273	53	building	build	VERB
ejpam-6513	273	54	upon	upon	SCONJ
ejpam-6513	273	55	the	the	DET
ejpam-6513	273	56	work	work	NOUN
ejpam-6513	273	57	on	on	ADP
ejpam-6513	273	58	near	near	ADP
ejpam-6513	273	59	lindelofness	lindelofness	NOUN
ejpam-6513	273	60	[	[	X
ejpam-6513	273	61	36	36	NUM
ejpam-6513	273	62	]	]	PUNCT
ejpam-6513	273	63	and	and	CCONJ
ejpam-6513	273	64	d	d	NOUN
ejpam-6513	273	65	-	-	NOUN
ejpam-6513	273	66	metacompactness	metacompactness	NOUN
ejpam-6513	273	67	[	[	X
ejpam-6513	273	68	24	24	NUM
ejpam-6513	273	69	]	]	PUNCT
ejpam-6513	273	70	.	.	PUNCT
ejpam-6513	274	1	j.	j.	PROPN
ejpam-6513	274	2	oudetallah	oudetallah	PROPN
ejpam-6513	274	3	et	et	PROPN
ejpam-6513	274	4	al	al	PROPN
ejpam-6513	274	5	.	.	PUNCT
ejpam-6513	274	6	/	/	SYM
ejpam-6513	274	7	eur	eur	PROPN
ejpam-6513	274	8	.	.	PUNCT
ejpam-6513	275	1	j.	j.	PROPN
ejpam-6513	275	2	pure	pure	PROPN
ejpam-6513	275	3	appl	appl	PROPN
ejpam-6513	275	4	.	.	PROPN
ejpam-6513	275	5	math	math	PROPN
ejpam-6513	275	6	,	,	PUNCT
ejpam-6513	275	7	18	18	NUM
ejpam-6513	275	8	(	(	PUNCT
ejpam-6513	275	9	3	3	NUM
ejpam-6513	275	10	)	)	PUNCT
ejpam-6513	275	11	(	(	PUNCT
ejpam-6513	275	12	2025	2025	NUM
ejpam-6513	275	13	)	)	PUNCT
ejpam-6513	275	14	,	,	PUNCT
ejpam-6513	275	15	6513	6513	NUM
ejpam-6513	275	16	12	12	NUM
ejpam-6513	275	17	of	of	ADP
ejpam-6513	275	18	14	14	NUM
ejpam-6513	275	19	(	(	PUNCT
ejpam-6513	275	20	ii	ii	NOUN
ejpam-6513	275	21	)	)	PUNCT
ejpam-6513	275	22	bitopological	bitopological	ADJ
ejpam-6513	275	23	generalizations	generalization	NOUN
ejpam-6513	275	24	:	:	PUNCT
ejpam-6513	275	25	the	the	DET
ejpam-6513	275	26	concepts	concept	NOUN
ejpam-6513	275	27	developed	develop	VERB
ejpam-6513	275	28	here	here	ADV
ejpam-6513	275	29	could	could	AUX
ejpam-6513	275	30	be	be	AUX
ejpam-6513	275	31	extended	extend	VERB
ejpam-6513	275	32	to	to	ADP
ejpam-6513	275	33	soft	soft	ADJ
ejpam-6513	275	34	bitopological	bitopological	ADJ
ejpam-6513	275	35	spaces	space	NOUN
ejpam-6513	275	36	,	,	PUNCT
ejpam-6513	275	37	following	follow	VERB
ejpam-6513	275	38	the	the	DET
ejpam-6513	275	39	approach	approach	NOUN
ejpam-6513	275	40	used	use	VERB
ejpam-6513	275	41	for	for	ADP
ejpam-6513	275	42	nearly	nearly	ADV
ejpam-6513	275	43	metacompact	metacompact	ADJ
ejpam-6513	275	44	spaces	space	NOUN
ejpam-6513	275	45	[	[	X
ejpam-6513	275	46	26	26	NUM
ejpam-6513	275	47	]	]	PUNCT
ejpam-6513	275	48	and	and	CCONJ
ejpam-6513	275	49	pairwise	pairwise	NOUN
ejpam-6513	275	50	expandable	expandable	ADJ
ejpam-6513	275	51	spaces	space	NOUN
ejpam-6513	275	52	[	[	X
ejpam-6513	275	53	27	27	NUM
ejpam-6513	275	54	]	]	PUNCT
ejpam-6513	275	55	.	.	PUNCT
ejpam-6513	276	1	(	(	PUNCT
ejpam-6513	276	2	iii	iii	X
ejpam-6513	276	3	)	)	PUNCT
ejpam-6513	276	4	connections	connection	NOUN
ejpam-6513	276	5	with	with	ADP
ejpam-6513	276	6	approximation	approximation	NOUN
ejpam-6513	276	7	spaces	space	NOUN
ejpam-6513	276	8	:	:	PUNCT
ejpam-6513	276	9	building	build	VERB
ejpam-6513	276	10	on	on	ADP
ejpam-6513	276	11	the	the	DET
ejpam-6513	276	12	work	work	NOUN
ejpam-6513	276	13	of	of	ADP
ejpam-6513	276	14	nawar	nawar	NOUN
ejpam-6513	276	15	et	et	PROPN
ejpam-6513	276	16	al	al	PROPN
ejpam-6513	276	17	.	.	PROPN
ejpam-6513	276	18	(	(	PUNCT
ejpam-6513	276	19	2022	2022	NUM
ejpam-6513	276	20	)	)	PUNCT
ejpam-6513	276	21	on	on	ADP
ejpam-6513	276	22	θβ	θβ	NOUN
ejpam-6513	276	23	-	-	PUNCT
ejpam-6513	276	24	approximation	approximation	NOUN
ejpam-6513	276	25	spaces	space	NOUN
ejpam-6513	276	26	and	and	CCONJ
ejpam-6513	276	27	el	el	NOUN
ejpam-6513	276	28	-	-	ADJ
ejpam-6513	276	29	bably	bably	PROPN
ejpam-6513	276	30	et	et	PROPN
ejpam-6513	276	31	al	al	PROPN
ejpam-6513	276	32	.	.	PROPN
ejpam-6513	277	1	(	(	PUNCT
ejpam-6513	277	2	2025	2025	NUM
ejpam-6513	277	3	)	)	PUNCT
ejpam-6513	277	4	on	on	ADP
ejpam-6513	277	5	their	their	PRON
ejpam-6513	277	6	theoretical	theoretical	ADJ
ejpam-6513	277	7	refinements	refinement	NOUN
ejpam-6513	277	8	,	,	PUNCT
ejpam-6513	277	9	there	there	PRON
ejpam-6513	277	10	is	be	VERB
ejpam-6513	277	11	potential	potential	ADJ
ejpam-6513	277	12	for	for	ADP
ejpam-6513	277	13	integrating	integrate	VERB
ejpam-6513	277	14	d	d	ADJ
ejpam-6513	277	15	-	-	ADJ
ejpam-6513	277	16	soft	soft	ADJ
ejpam-6513	277	17	compactness	compactness	NOUN
ejpam-6513	277	18	with	with	ADP
ejpam-6513	277	19	ideal	ideal	ADV
ejpam-6513	277	20	-	-	PUNCT
ejpam-6513	277	21	related	relate	VERB
ejpam-6513	277	22	topological	topological	ADJ
ejpam-6513	277	23	frameworks	framework	NOUN
ejpam-6513	277	24	.	.	PUNCT
ejpam-6513	278	1	these	these	DET
ejpam-6513	278	2	connections	connection	NOUN
ejpam-6513	278	3	could	could	AUX
ejpam-6513	278	4	enhance	enhance	VERB
ejpam-6513	278	5	both	both	PRON
ejpam-6513	278	6	theoretical	theoretical	ADJ
ejpam-6513	278	7	understanding	understanding	NOUN
ejpam-6513	278	8	and	and	CCONJ
ejpam-6513	278	9	practical	practical	ADJ
ejpam-6513	278	10	applications	application	NOUN
ejpam-6513	278	11	.	.	PUNCT
ejpam-6513	279	1	(	(	PUNCT
ejpam-6513	279	2	iv	iv	X
ejpam-6513	279	3	)	)	PUNCT
ejpam-6513	279	4	applications	application	NOUN
ejpam-6513	279	5	in	in	ADP
ejpam-6513	279	6	decision	decision	NOUN
ejpam-6513	279	7	-	-	PUNCT
ejpam-6513	279	8	making	making	NOUN
ejpam-6513	279	9	:	:	PUNCT
ejpam-6513	279	10	the	the	DET
ejpam-6513	279	11	framework	framework	NOUN
ejpam-6513	279	12	developed	develop	VERB
ejpam-6513	279	13	here	here	ADV
ejpam-6513	279	14	could	could	AUX
ejpam-6513	279	15	be	be	AUX
ejpam-6513	279	16	applied	apply	VERB
ejpam-6513	279	17	to	to	ADP
ejpam-6513	279	18	real	real	ADJ
ejpam-6513	279	19	-	-	PUNCT
ejpam-6513	279	20	world	world	NOUN
ejpam-6513	279	21	problems	problem	NOUN
ejpam-6513	279	22	in	in	ADP
ejpam-6513	279	23	medical	medical	ADJ
ejpam-6513	279	24	diagnosis	diagnosis	NOUN
ejpam-6513	279	25	,	,	PUNCT
ejpam-6513	279	26	pattern	pattern	NOUN
ejpam-6513	279	27	recognition	recognition	NOUN
ejpam-6513	279	28	,	,	PUNCT
ejpam-6513	279	29	and	and	CCONJ
ejpam-6513	279	30	data	datum	NOUN
ejpam-6513	279	31	analysis	analysis	NOUN
ejpam-6513	279	32	,	,	PUNCT
ejpam-6513	279	33	following	follow	VERB
ejpam-6513	279	34	the	the	DET
ejpam-6513	279	35	successful	successful	ADJ
ejpam-6513	279	36	applications	application	NOUN
ejpam-6513	279	37	of	of	ADP
ejpam-6513	279	38	rough	rough	ADJ
ejpam-6513	279	39	set	set	NOUN
ejpam-6513	279	40	approaches	approach	NOUN
ejpam-6513	279	41	demonstrated	demonstrate	VERB
ejpam-6513	279	42	in	in	ADP
ejpam-6513	279	43	recent	recent	ADJ
ejpam-6513	279	44	literature	literature	NOUN
ejpam-6513	279	45	.	.	PUNCT
ejpam-6513	280	1	(	(	PUNCT
ejpam-6513	280	2	v	v	NOUN
ejpam-6513	280	3	)	)	PUNCT
ejpam-6513	280	4	relationships	relationship	NOUN
ejpam-6513	280	5	with	with	ADP
ejpam-6513	280	6	fuzzy	fuzzy	ADJ
ejpam-6513	280	7	and	and	CCONJ
ejpam-6513	280	8	rough	rough	ADJ
ejpam-6513	280	9	set	set	NOUN
ejpam-6513	280	10	theories	theory	NOUN
ejpam-6513	280	11	:	:	PUNCT
ejpam-6513	280	12	investigating	investigate	VERB
ejpam-6513	280	13	how	how	SCONJ
ejpam-6513	280	14	d	d	ADJ
ejpam-6513	280	15	-	-	ADJ
ejpam-6513	280	16	soft	soft	ADJ
ejpam-6513	280	17	compact	compact	ADJ
ejpam-6513	280	18	spaces	space	NOUN
ejpam-6513	280	19	connect	connect	VERB
ejpam-6513	280	20	with	with	ADP
ejpam-6513	280	21	fuzzy	fuzzy	ADJ
ejpam-6513	280	22	topological	topological	ADJ
ejpam-6513	280	23	spaces	space	NOUN
ejpam-6513	280	24	and	and	CCONJ
ejpam-6513	280	25	rough	rough	ADJ
ejpam-6513	280	26	set	set	NOUN
ejpam-6513	280	27	models	model	NOUN
ejpam-6513	280	28	could	could	AUX
ejpam-6513	280	29	yield	yield	VERB
ejpam-6513	280	30	new	new	ADJ
ejpam-6513	280	31	hybrid	hybrid	ADJ
ejpam-6513	280	32	approaches	approach	NOUN
ejpam-6513	280	33	for	for	ADP
ejpam-6513	280	34	handling	handle	VERB
ejpam-6513	280	35	uncertainty	uncertainty	NOUN
ejpam-6513	280	36	.	.	PUNCT
ejpam-6513	281	1	(	(	PUNCT
ejpam-6513	281	2	vi	vi	NOUN
ejpam-6513	281	3	)	)	PUNCT
ejpam-6513	281	4	geometric	geometric	ADJ
ejpam-6513	281	5	connections	connection	NOUN
ejpam-6513	281	6	:	:	PUNCT
ejpam-6513	281	7	the	the	DET
ejpam-6513	281	8	relationship	relationship	NOUN
ejpam-6513	281	9	between	between	ADP
ejpam-6513	281	10	d	d	NOUN
ejpam-6513	281	11	-	-	ADJ
ejpam-6513	281	12	soft	soft	ADJ
ejpam-6513	281	13	compactness	compactness	NOUN
ejpam-6513	281	14	and	and	CCONJ
ejpam-6513	281	15	convexity	convexity	NOUN
ejpam-6513	281	16	properties	property	NOUN
ejpam-6513	281	17	in	in	ADP
ejpam-6513	281	18	soft	soft	ADJ
ejpam-6513	281	19	settings	setting	NOUN
ejpam-6513	281	20	,	,	PUNCT
ejpam-6513	281	21	inspired	inspire	VERB
ejpam-6513	281	22	by	by	ADP
ejpam-6513	281	23	work	work	NOUN
ejpam-6513	281	24	on	on	ADP
ejpam-6513	281	25	h	h	NOUN
ejpam-6513	281	26	-	-	PUNCT
ejpam-6513	281	27	convexity	convexity	NOUN
ejpam-6513	281	28	[	[	X
ejpam-6513	281	29	35	35	NUM
ejpam-6513	281	30	]	]	PUNCT
ejpam-6513	281	31	,	,	PUNCT
ejpam-6513	281	32	presents	present	VERB
ejpam-6513	281	33	an	an	DET
ejpam-6513	281	34	intriguing	intriguing	ADJ
ejpam-6513	281	35	avenue	avenue	NOUN
ejpam-6513	281	36	for	for	ADP
ejpam-6513	281	37	future	future	ADJ
ejpam-6513	281	38	research	research	NOUN
ejpam-6513	281	39	.	.	PUNCT
ejpam-6513	282	1	we	we	PRON
ejpam-6513	282	2	emphasize	emphasize	VERB
ejpam-6513	282	3	that	that	SCONJ
ejpam-6513	282	4	any	any	DET
ejpam-6513	282	5	extensions	extension	NOUN
ejpam-6513	282	6	should	should	AUX
ejpam-6513	282	7	maintain	maintain	VERB
ejpam-6513	282	8	fidelity	fidelity	NOUN
ejpam-6513	282	9	to	to	ADP
ejpam-6513	282	10	the	the	DET
ejpam-6513	282	11	original	original	ADJ
ejpam-6513	282	12	formulations	formulation	NOUN
ejpam-6513	282	13	,	,	PUNCT
ejpam-6513	282	14	particularly	particularly	ADV
ejpam-6513	282	15	regarding	regard	VERB
ejpam-6513	282	16	the	the	DET
ejpam-6513	282	17	θβ	θβ	NOUN
ejpam-6513	282	18	-	-	PUNCT
ejpam-6513	282	19	concepts	concept	NOUN
ejpam-6513	282	20	established	establish	VERB
ejpam-6513	282	21	by	by	ADP
ejpam-6513	282	22	nawar	nawar	PROPN
ejpam-6513	282	23	et	et	PROPN
ejpam-6513	282	24	al	al	PROPN
ejpam-6513	282	25	.	.	PROPN
ejpam-6513	283	1	(	(	PUNCT
ejpam-6513	283	2	2022	2022	NUM
ejpam-6513	283	3	)	)	PUNCT
ejpam-6513	283	4	and	and	CCONJ
ejpam-6513	283	5	refined	refine	VERB
ejpam-6513	283	6	by	by	ADP
ejpam-6513	283	7	el	el	PROPN
ejpam-6513	283	8	-	-	PROPN
ejpam-6513	283	9	bably	bably	PROPN
ejpam-6513	283	10	et	et	PROPN
ejpam-6513	283	11	al	al	PROPN
ejpam-6513	283	12	.	.	PROPN
ejpam-6513	284	1	(	(	PUNCT
ejpam-6513	284	2	2025	2025	NUM
ejpam-6513	284	3	)	)	PUNCT
ejpam-6513	284	4	,	,	PUNCT
ejpam-6513	284	5	as	as	SCONJ
ejpam-6513	284	6	these	these	PRON
ejpam-6513	284	7	provide	provide	VERB
ejpam-6513	284	8	the	the	DET
ejpam-6513	284	9	accurate	accurate	ADJ
ejpam-6513	284	10	foundation	foundation	NOUN
ejpam-6513	284	11	for	for	ADP
ejpam-6513	284	12	ideal	ideal	ADV
ejpam-6513	284	13	-	-	PUNCT
ejpam-6513	284	14	related	relate	VERB
ejpam-6513	284	15	topological	topological	ADJ
ejpam-6513	284	16	structures	structure	NOUN
ejpam-6513	284	17	.	.	PUNCT
ejpam-6513	285	1	we	we	PRON
ejpam-6513	285	2	hope	hope	VERB
ejpam-6513	285	3	that	that	SCONJ
ejpam-6513	285	4	this	this	DET
ejpam-6513	285	5	study	study	NOUN
ejpam-6513	285	6	will	will	AUX
ejpam-6513	285	7	encourage	encourage	VERB
ejpam-6513	285	8	researchers	researcher	NOUN
ejpam-6513	285	9	to	to	PART
ejpam-6513	285	10	explore	explore	VERB
ejpam-6513	285	11	this	this	DET
ejpam-6513	285	12	field	field	NOUN
ejpam-6513	285	13	and	and	CCONJ
ejpam-6513	285	14	discover	discover	VERB
ejpam-6513	285	15	additional	additional	ADJ
ejpam-6513	285	16	connections	connection	NOUN
ejpam-6513	285	17	with	with	ADP
ejpam-6513	285	18	other	other	ADJ
ejpam-6513	285	19	areas	area	NOUN
ejpam-6513	285	20	.	.	PUNCT
ejpam-6513	286	1	acknowledgements	acknowledgement	NOUN
ejpam-6513	286	2	we	we	PRON
ejpam-6513	286	3	appreciate	appreciate	VERB
ejpam-6513	286	4	the	the	DET
ejpam-6513	286	5	reviewer	reviewer	NOUN
ejpam-6513	286	6	’s	’s	PART
ejpam-6513	286	7	useful	useful	ADJ
ejpam-6513	286	8	suggestions	suggestion	NOUN
ejpam-6513	286	9	,	,	PUNCT
ejpam-6513	286	10	which	which	PRON
ejpam-6513	286	11	helped	help	VERB
ejpam-6513	286	12	make	make	VERB
ejpam-6513	286	13	the	the	DET
ejpam-6513	286	14	paper	paper	NOUN
ejpam-6513	286	15	more	more	ADV
ejpam-6513	286	16	successful	successful	ADJ
ejpam-6513	286	17	.	.	PUNCT
ejpam-6513	287	1	references	reference	NOUN
ejpam-6513	287	2	[	[	X
ejpam-6513	287	3	1	1	NUM
ejpam-6513	287	4	]	]	X
ejpam-6513	287	5	dmitriy	dmitriy	PROPN
ejpam-6513	287	6	molodtsov	molodtsov	PROPN
ejpam-6513	287	7	.	.	PUNCT
ejpam-6513	288	1	soft	soft	ADJ
ejpam-6513	288	2	set	set	VERB
ejpam-6513	288	3	theory	theory	NOUN
ejpam-6513	288	4	—	—	PUNCT
ejpam-6513	288	5	first	first	ADJ
ejpam-6513	288	6	results	result	NOUN
ejpam-6513	288	7	.	.	PUNCT
ejpam-6513	289	1	computers	computer	NOUN
ejpam-6513	289	2	&	&	CCONJ
ejpam-6513	289	3	mathematics	mathematics	PROPN
ejpam-6513	289	4	with	with	ADP
ejpam-6513	289	5	applications	application	NOUN
ejpam-6513	289	6	,	,	PUNCT
ejpam-6513	289	7	37(4	37(4	PROPN
ejpam-6513	289	8	-	-	PUNCT
ejpam-6513	289	9	5):19–31	5):19–31	NUM
ejpam-6513	289	10	,	,	PUNCT
ejpam-6513	289	11	1999	1999	NUM
ejpam-6513	289	12	.	.	PUNCT
ejpam-6513	290	1	[	[	X
ejpam-6513	290	2	2	2	NUM
ejpam-6513	290	3	]	]	PUNCT
ejpam-6513	290	4	pradip	pradip	NOUN
ejpam-6513	290	5	kumar	kumar	PROPN
ejpam-6513	290	6	maji	maji	PROPN
ejpam-6513	290	7	,	,	PUNCT
ejpam-6513	290	8	ranjit	ranjit	PROPN
ejpam-6513	290	9	biswas	biswas	PROPN
ejpam-6513	290	10	,	,	PUNCT
ejpam-6513	290	11	and	and	CCONJ
ejpam-6513	290	12	a.	a.	PROPN
ejpam-6513	290	13	ranjan	ranjan	PROPN
ejpam-6513	290	14	roy	roy	PROPN
ejpam-6513	290	15	.	.	PROPN
ejpam-6513	290	16	soft	soft	ADJ
ejpam-6513	290	17	set	set	NOUN
ejpam-6513	290	18	theory	theory	NOUN
ejpam-6513	290	19	.	.	PUNCT
ejpam-6513	291	1	computers	computer	NOUN
ejpam-6513	291	2	&	&	CCONJ
ejpam-6513	291	3	mathematics	mathematics	PROPN
ejpam-6513	291	4	with	with	ADP
ejpam-6513	291	5	applications	application	NOUN
ejpam-6513	291	6	,	,	PUNCT
ejpam-6513	291	7	45(4	45(4	NOUN
ejpam-6513	291	8	-	-	PUNCT
ejpam-6513	291	9	5):555–562	5):555–562	NUM
ejpam-6513	291	10	,	,	PUNCT
ejpam-6513	291	11	2003	2003	NUM
ejpam-6513	291	12	.	.	PUNCT
ejpam-6513	292	1	[	[	X
ejpam-6513	292	2	3	3	X
ejpam-6513	292	3	]	]	X
ejpam-6513	292	4	naim	naim	PROPN
ejpam-6513	292	5	çağman	çağman	PROPN
ejpam-6513	292	6	and	and	CCONJ
ejpam-6513	292	7	serdar	serdar	PROPN
ejpam-6513	292	8	enginoğlu	enginoğlu	PROPN
ejpam-6513	292	9	.	.	PUNCT
ejpam-6513	292	10	soft	soft	ADJ
ejpam-6513	292	11	set	set	NOUN
ejpam-6513	292	12	theory	theory	NOUN
ejpam-6513	292	13	and	and	CCONJ
ejpam-6513	292	14	uni	uni	ADJ
ejpam-6513	292	15	–	–	PUNCT
ejpam-6513	292	16	int	int	NOUN
ejpam-6513	292	17	decision	decision	NOUN
ejpam-6513	292	18	making	making	NOUN
ejpam-6513	292	19	.	.	PUNCT
ejpam-6513	293	1	european	european	ADJ
ejpam-6513	293	2	journal	journal	PROPN
ejpam-6513	293	3	of	of	ADP
ejpam-6513	293	4	operational	operational	ADJ
ejpam-6513	293	5	research	research	NOUN
ejpam-6513	293	6	,	,	PUNCT
ejpam-6513	293	7	207(2):848–855	207(2):848–855	PROPN
ejpam-6513	293	8	,	,	PUNCT
ejpam-6513	293	9	2010	2010	NUM
ejpam-6513	293	10	.	.	PUNCT
ejpam-6513	294	1	[	[	X
ejpam-6513	294	2	4	4	X
ejpam-6513	294	3	]	]	PUNCT
ejpam-6513	294	4	naim	naim	PROPN
ejpam-6513	294	5	çağman	çağman	PROPN
ejpam-6513	294	6	and	and	CCONJ
ejpam-6513	294	7	serdar	serdar	PROPN
ejpam-6513	294	8	enginoğlu	enginoğlu	PROPN
ejpam-6513	294	9	.	.	PUNCT
ejpam-6513	294	10	soft	soft	ADJ
ejpam-6513	294	11	matrix	matrix	NOUN
ejpam-6513	294	12	theory	theory	NOUN
ejpam-6513	294	13	and	and	CCONJ
ejpam-6513	294	14	its	its	PRON
ejpam-6513	294	15	decision	decision	NOUN
ejpam-6513	294	16	making	making	NOUN
ejpam-6513	294	17	.	.	PUNCT
ejpam-6513	295	1	computers	computer	NOUN
ejpam-6513	295	2	&	&	CCONJ
ejpam-6513	295	3	mathematics	mathematics	PROPN
ejpam-6513	295	4	with	with	ADP
ejpam-6513	295	5	applications	application	NOUN
ejpam-6513	295	6	,	,	PUNCT
ejpam-6513	295	7	59(10):3308–3314	59(10):3308–3314	PROPN
ejpam-6513	295	8	,	,	PUNCT
ejpam-6513	295	9	2010	2010	NUM
ejpam-6513	295	10	.	.	PUNCT
ejpam-6513	296	1	j.	j.	PROPN
ejpam-6513	296	2	oudetallah	oudetallah	PROPN
ejpam-6513	296	3	et	et	PROPN
ejpam-6513	296	4	al	al	PROPN
ejpam-6513	296	5	.	.	PUNCT
ejpam-6513	296	6	/	/	SYM
ejpam-6513	296	7	eur	eur	PROPN
ejpam-6513	296	8	.	.	PUNCT
ejpam-6513	297	1	j.	j.	PROPN
ejpam-6513	297	2	pure	pure	PROPN
ejpam-6513	297	3	appl	appl	PROPN
ejpam-6513	297	4	.	.	PROPN
ejpam-6513	297	5	math	math	PROPN
ejpam-6513	297	6	,	,	PUNCT
ejpam-6513	297	7	18	18	NUM
ejpam-6513	297	8	(	(	PUNCT
ejpam-6513	297	9	3	3	NUM
ejpam-6513	297	10	)	)	PUNCT
ejpam-6513	297	11	(	(	PUNCT
ejpam-6513	297	12	2025	2025	NUM
ejpam-6513	297	13	)	)	PUNCT
ejpam-6513	297	14	,	,	PUNCT
ejpam-6513	297	15	6513	6513	NUM
ejpam-6513	297	16	13	13	NUM
ejpam-6513	297	17	of	of	ADP
ejpam-6513	297	18	14	14	NUM
ejpam-6513	297	19	[	[	SYM
ejpam-6513	297	20	5	5	NUM
ejpam-6513	297	21	]	]	PUNCT
ejpam-6513	297	22	hacı	hacı	NOUN
ejpam-6513	297	23	aktaş	aktaş	ADV
ejpam-6513	297	24	and	and	CCONJ
ejpam-6513	297	25	naim	naim	PROPN
ejpam-6513	297	26	çağman	çağman	PROPN
ejpam-6513	297	27	.	.	PUNCT
ejpam-6513	297	28	soft	soft	ADJ
ejpam-6513	297	29	sets	set	NOUN
ejpam-6513	297	30	and	and	CCONJ
ejpam-6513	297	31	soft	soft	ADJ
ejpam-6513	297	32	groups	group	NOUN
ejpam-6513	297	33	.	.	PUNCT
ejpam-6513	298	1	information	information	NOUN
ejpam-6513	298	2	sciences	sciences	PROPN
ejpam-6513	298	3	,	,	PUNCT
ejpam-6513	298	4	177(13):2726–2735	177(13):2726–2735	NUM
ejpam-6513	298	5	,	,	PUNCT
ejpam-6513	298	6	2007	2007	NUM
ejpam-6513	298	7	.	.	PUNCT
ejpam-6513	299	1	[	[	X
ejpam-6513	299	2	6	6	NUM
ejpam-6513	299	3	]	]	PUNCT
ejpam-6513	299	4	mujahid	mujahid	NOUN
ejpam-6513	299	5	abbas	abbas	PROPN
ejpam-6513	299	6	,	,	PUNCT
ejpam-6513	299	7	muhammad	muhammad	PROPN
ejpam-6513	299	8	irfan	irfan	PROPN
ejpam-6513	299	9	ali	ali	PROPN
ejpam-6513	299	10	,	,	PUNCT
ejpam-6513	299	11	and	and	CCONJ
ejpam-6513	299	12	salvador	salvador	PROPN
ejpam-6513	299	13	romaguera	romaguera	PROPN
ejpam-6513	299	14	.	.	PUNCT
ejpam-6513	300	1	generalized	generalized	ADJ
ejpam-6513	300	2	operations	operation	NOUN
ejpam-6513	300	3	in	in	ADP
ejpam-6513	300	4	soft	soft	ADJ
ejpam-6513	300	5	set	set	NOUN
ejpam-6513	300	6	theory	theory	NOUN
ejpam-6513	300	7	via	via	ADP
ejpam-6513	300	8	relaxed	relaxed	ADJ
ejpam-6513	300	9	conditions	condition	NOUN
ejpam-6513	300	10	on	on	ADP
ejpam-6513	300	11	parameters	parameter	NOUN
ejpam-6513	300	12	.	.	PUNCT
ejpam-6513	301	1	filomat	filomat	PROPN
ejpam-6513	301	2	,	,	PUNCT
ejpam-6513	301	3	31(19):5955	31(19):5955	NUM
ejpam-6513	301	4	–	–	PUNCT
ejpam-6513	301	5	5964	5964	NUM
ejpam-6513	301	6	,	,	PUNCT
ejpam-6513	301	7	2017	2017	NUM
ejpam-6513	301	8	.	.	PUNCT
ejpam-6513	302	1	[	[	X
ejpam-6513	302	2	7	7	X
ejpam-6513	302	3	]	]	X
ejpam-6513	302	4	faisal	faisal	PROPN
ejpam-6513	302	5	al	al	PROPN
ejpam-6513	302	6	-	-	PUNCT
ejpam-6513	302	7	sharqi	sharqi	PROPN
ejpam-6513	302	8	,	,	PUNCT
ejpam-6513	302	9	abd	abd	PROPN
ejpam-6513	302	10	ghafur	ghafur	NOUN
ejpam-6513	302	11	ahmad	ahmad	PROPN
ejpam-6513	302	12	,	,	PUNCT
ejpam-6513	302	13	and	and	CCONJ
ejpam-6513	302	14	ashraf	ashraf	PROPN
ejpam-6513	302	15	al	al	PROPN
ejpam-6513	302	16	-	-	PUNCT
ejpam-6513	302	17	quran	quran	PROPN
ejpam-6513	302	18	.	.	PUNCT
ejpam-6513	303	1	mapping	mapping	NOUN
ejpam-6513	303	2	on	on	ADP
ejpam-6513	303	3	interval	interval	NOUN
ejpam-6513	303	4	complex	complex	ADJ
ejpam-6513	303	5	neutrosophic	neutrosophic	ADJ
ejpam-6513	303	6	soft	soft	ADJ
ejpam-6513	303	7	sets	set	NOUN
ejpam-6513	303	8	.	.	PUNCT
ejpam-6513	304	1	international	international	ADJ
ejpam-6513	304	2	journal	journal	PROPN
ejpam-6513	304	3	of	of	ADP
ejpam-6513	304	4	neutrosophic	neutrosophic	ADJ
ejpam-6513	304	5	science	science	NOUN
ejpam-6513	304	6	,	,	PUNCT
ejpam-6513	304	7	19(4):77–85	19(4):77–85	NUM
ejpam-6513	304	8	,	,	PUNCT
ejpam-6513	304	9	2022	2022	NUM
ejpam-6513	304	10	.	.	PUNCT
ejpam-6513	305	1	[	[	X
ejpam-6513	305	2	8	8	X
ejpam-6513	305	3	]	]	X
ejpam-6513	305	4	muhammad	muhammad	PROPN
ejpam-6513	305	5	gulistan	gulistan	PROPN
ejpam-6513	305	6	,	,	PUNCT
ejpam-6513	305	7	ismat	ismat	ADJ
ejpam-6513	305	8	beg	beg	NOUN
ejpam-6513	305	9	,	,	PUNCT
ejpam-6513	305	10	and	and	CCONJ
ejpam-6513	305	11	naveed	naveed	PROPN
ejpam-6513	305	12	yaqoob	yaqoob	VERB
ejpam-6513	305	13	.	.	PUNCT
ejpam-6513	306	1	a	a	DET
ejpam-6513	306	2	new	new	ADJ
ejpam-6513	306	3	approach	approach	NOUN
ejpam-6513	306	4	in	in	ADP
ejpam-6513	306	5	decision	decision	NOUN
ejpam-6513	306	6	making	make	VERB
ejpam-6513	306	7	problems	problem	NOUN
ejpam-6513	306	8	under	under	ADP
ejpam-6513	306	9	the	the	DET
ejpam-6513	306	10	environment	environment	NOUN
ejpam-6513	306	11	of	of	ADP
ejpam-6513	306	12	neutrosophic	neutrosophic	ADJ
ejpam-6513	306	13	cubic	cubic	ADJ
ejpam-6513	306	14	soft	soft	ADJ
ejpam-6513	306	15	matrices	matrix	NOUN
ejpam-6513	306	16	.	.	PUNCT
ejpam-6513	307	1	journal	journal	NOUN
ejpam-6513	307	2	of	of	ADP
ejpam-6513	307	3	intelligent	intelligent	ADJ
ejpam-6513	307	4	&	&	CCONJ
ejpam-6513	307	5	fuzzy	fuzzy	ADJ
ejpam-6513	307	6	systems	system	NOUN
ejpam-6513	307	7	,	,	PUNCT
ejpam-6513	307	8	36(1):295–307	36(1):295–307	PROPN
ejpam-6513	307	9	,	,	PUNCT
ejpam-6513	307	10	2019	2019	NUM
ejpam-6513	307	11	.	.	PUNCT
ejpam-6513	308	1	[	[	X
ejpam-6513	308	2	9	9	NUM
ejpam-6513	308	3	]	]	PUNCT
ejpam-6513	308	4	abid	abid	PROPN
ejpam-6513	308	5	khan	khan	PROPN
ejpam-6513	308	6	and	and	CCONJ
ejpam-6513	308	7	yuanguo	yuanguo	PROPN
ejpam-6513	308	8	zhu	zhu	PROPN
ejpam-6513	308	9	.	.	PUNCT
ejpam-6513	309	1	new	new	ADJ
ejpam-6513	309	2	algorithms	algorithm	NOUN
ejpam-6513	309	3	for	for	ADP
ejpam-6513	309	4	parameter	parameter	NOUN
ejpam-6513	309	5	reduction	reduction	NOUN
ejpam-6513	309	6	of	of	ADP
ejpam-6513	309	7	intuitionistic	intuitionistic	ADJ
ejpam-6513	309	8	fuzzy	fuzzy	ADJ
ejpam-6513	309	9	soft	soft	ADJ
ejpam-6513	309	10	sets	set	NOUN
ejpam-6513	309	11	.	.	PUNCT
ejpam-6513	310	1	computational	computational	ADJ
ejpam-6513	310	2	and	and	CCONJ
ejpam-6513	310	3	applied	applied	ADJ
ejpam-6513	310	4	mathematics	mathematic	NOUN
ejpam-6513	310	5	,	,	PUNCT
ejpam-6513	310	6	39(3):232	39(3):232	NUM
ejpam-6513	310	7	,	,	PUNCT
ejpam-6513	310	8	2020	2020	NUM
ejpam-6513	310	9	.	.	PUNCT
ejpam-6513	311	1	[	[	X
ejpam-6513	311	2	10	10	NUM
ejpam-6513	311	3	]	]	X
ejpam-6513	311	4	g.	g.	PROPN
ejpam-6513	311	5	muhiuddin	muhiuddin	PROPN
ejpam-6513	311	6	,	,	PUNCT
ejpam-6513	311	7	deena	deena	PROPN
ejpam-6513	311	8	al	al	PROPN
ejpam-6513	311	9	-	-	PUNCT
ejpam-6513	311	10	kadi	kadi	PROPN
ejpam-6513	311	11	,	,	PUNCT
ejpam-6513	311	12	k.	k.	PROPN
ejpam-6513	312	1	p.	p.	PROPN
ejpam-6513	312	2	shum	shum	PROPN
ejpam-6513	312	3	,	,	PUNCT
ejpam-6513	312	4	and	and	CCONJ
ejpam-6513	312	5	abdulaziz	abdulaziz	PROPN
ejpam-6513	312	6	mohammed	mohammed	PROPN
ejpam-6513	312	7	alanazi	alanazi	PROPN
ejpam-6513	312	8	.	.	PUNCT
ejpam-6513	313	1	generalized	generalized	ADJ
ejpam-6513	313	2	ideals	ideal	NOUN
ejpam-6513	313	3	of	of	ADP
ejpam-6513	313	4	bck	bck	PROPN
ejpam-6513	313	5	/	/	SYM
ejpam-6513	313	6	bci	bci	NOUN
ejpam-6513	313	7	-	-	PUNCT
ejpam-6513	313	8	algebras	algebras	PROPN
ejpam-6513	313	9	based	base	VERB
ejpam-6513	313	10	on	on	ADP
ejpam-6513	313	11	fuzzy	fuzzy	ADJ
ejpam-6513	313	12	soft	soft	ADJ
ejpam-6513	313	13	set	set	NOUN
ejpam-6513	313	14	theory	theory	NOUN
ejpam-6513	313	15	.	.	PUNCT
ejpam-6513	314	1	advances	advance	NOUN
ejpam-6513	314	2	in	in	ADP
ejpam-6513	314	3	fuzzy	fuzzy	ADJ
ejpam-6513	314	4	systems	system	NOUN
ejpam-6513	314	5	,	,	PUNCT
ejpam-6513	314	6	2021(1):8869931	2021(1):8869931	ADV
ejpam-6513	314	7	,	,	PUNCT
ejpam-6513	314	8	2021	2021	NUM
ejpam-6513	314	9	.	.	PUNCT
ejpam-6513	315	1	[	[	X
ejpam-6513	315	2	11	11	NUM
ejpam-6513	315	3	]	]	PUNCT
ejpam-6513	315	4	vakkas	vakkas	NOUN
ejpam-6513	315	5	ulucay	ulucay	NOUN
ejpam-6513	315	6	.	.	PUNCT
ejpam-6513	315	7	soft	soft	ADJ
ejpam-6513	315	8	representation	representation	NOUN
ejpam-6513	315	9	of	of	ADP
ejpam-6513	315	10	soft	soft	ADJ
ejpam-6513	315	11	groups	group	NOUN
ejpam-6513	315	12	.	.	PUNCT
ejpam-6513	316	1	new	new	ADJ
ejpam-6513	316	2	trends	trend	NOUN
ejpam-6513	316	3	in	in	ADP
ejpam-6513	316	4	mathematical	mathematical	ADJ
ejpam-6513	316	5	sciences	science	NOUN
ejpam-6513	316	6	,	,	PUNCT
ejpam-6513	316	7	4(2):23–29	4(2):23–29	NUM
ejpam-6513	316	8	,	,	PUNCT
ejpam-6513	316	9	2016	2016	NUM
ejpam-6513	316	10	.	.	PUNCT
ejpam-6513	317	1	[	[	X
ejpam-6513	317	2	12	12	NUM
ejpam-6513	317	3	]	]	X
ejpam-6513	317	4	fuyuan	fuyuan	PROPN
ejpam-6513	317	5	xiao	xiao	PROPN
ejpam-6513	317	6	.	.	PUNCT
ejpam-6513	318	1	a	a	DET
ejpam-6513	318	2	hybrid	hybrid	ADJ
ejpam-6513	318	3	fuzzy	fuzzy	ADJ
ejpam-6513	318	4	soft	soft	ADJ
ejpam-6513	318	5	sets	set	NOUN
ejpam-6513	318	6	decision	decision	NOUN
ejpam-6513	318	7	making	make	VERB
ejpam-6513	318	8	method	method	NOUN
ejpam-6513	318	9	in	in	ADP
ejpam-6513	318	10	medical	medical	ADJ
ejpam-6513	318	11	diagnosis	diagnosis	NOUN
ejpam-6513	318	12	.	.	PUNCT
ejpam-6513	319	1	ieee	ieee	NOUN
ejpam-6513	319	2	access	access	NOUN
ejpam-6513	319	3	,	,	PUNCT
ejpam-6513	319	4	6:25300–25312	6:25300–25312	NUM
ejpam-6513	319	5	,	,	PUNCT
ejpam-6513	319	6	2018	2018	NUM
ejpam-6513	319	7	.	.	PUNCT
ejpam-6513	320	1	[	[	X
ejpam-6513	320	2	13	13	NUM
ejpam-6513	320	3	]	]	X
ejpam-6513	320	4	michael	michael	PROPN
ejpam-6513	320	5	gr	gr	PROPN
ejpam-6513	320	6	.	.	PROPN
ejpam-6513	320	7	voskoglou	voskoglou	PROPN
ejpam-6513	320	8	.	.	PUNCT
ejpam-6513	321	1	a	a	DET
ejpam-6513	321	2	hybrid	hybrid	ADJ
ejpam-6513	321	3	model	model	NOUN
ejpam-6513	321	4	for	for	ADP
ejpam-6513	321	5	decision	decision	NOUN
ejpam-6513	321	6	making	make	VERB
ejpam-6513	321	7	utilizing	utilize	VERB
ejpam-6513	321	8	tfns	tfns	NOUN
ejpam-6513	321	9	and	and	CCONJ
ejpam-6513	321	10	soft	soft	ADJ
ejpam-6513	321	11	sets	set	NOUN
ejpam-6513	321	12	as	as	ADP
ejpam-6513	321	13	tools	tool	NOUN
ejpam-6513	321	14	.	.	PUNCT
ejpam-6513	322	1	equations	equation	NOUN
ejpam-6513	322	2	,	,	PUNCT
ejpam-6513	322	3	2:65–69	2:65–69	NUM
ejpam-6513	322	4	,	,	PUNCT
ejpam-6513	322	5	2022	2022	NUM
ejpam-6513	322	6	.	.	PUNCT
ejpam-6513	323	1	[	[	X
ejpam-6513	323	2	14	14	NUM
ejpam-6513	323	3	]	]	X
ejpam-6513	323	4	di	di	X
ejpam-6513	323	5	zhang	zhang	PROPN
ejpam-6513	323	6	,	,	PUNCT
ejpam-6513	323	7	pi	pi	PROPN
ejpam-6513	323	8	-	-	PUNCT
ejpam-6513	323	9	yu	yu	PROPN
ejpam-6513	323	10	li	li	PROPN
ejpam-6513	323	11	,	,	PUNCT
ejpam-6513	323	12	and	and	CCONJ
ejpam-6513	323	13	shuang	shuang	PROPN
ejpam-6513	323	14	an	an	PROPN
ejpam-6513	323	15	.	.	PROPN
ejpam-6513	323	16	n	n	CCONJ
ejpam-6513	323	17	-	-	PUNCT
ejpam-6513	323	18	soft	soft	ADJ
ejpam-6513	323	19	rough	rough	ADJ
ejpam-6513	323	20	sets	set	NOUN
ejpam-6513	323	21	and	and	CCONJ
ejpam-6513	323	22	its	its	PRON
ejpam-6513	323	23	applications	application	NOUN
ejpam-6513	323	24	.	.	PUNCT
ejpam-6513	324	1	journal	journal	NOUN
ejpam-6513	324	2	of	of	ADP
ejpam-6513	324	3	intelligent	intelligent	ADJ
ejpam-6513	324	4	&	&	CCONJ
ejpam-6513	324	5	fuzzy	fuzzy	ADJ
ejpam-6513	324	6	systems	system	NOUN
ejpam-6513	324	7	,	,	PUNCT
ejpam-6513	324	8	40(1):565–573	40(1):565–573	NOUN
ejpam-6513	324	9	,	,	PUNCT
ejpam-6513	324	10	2021	2021	NUM
ejpam-6513	324	11	.	.	PUNCT
ejpam-6513	325	1	[	[	X
ejpam-6513	325	2	15	15	X
ejpam-6513	325	3	]	]	X
ejpam-6513	325	4	muhammad	muhammad	PROPN
ejpam-6513	325	5	shabir	shabir	PROPN
ejpam-6513	325	6	and	and	CCONJ
ejpam-6513	325	7	munazza	munazza	PROPN
ejpam-6513	325	8	naz	naz	PROPN
ejpam-6513	325	9	.	.	PUNCT
ejpam-6513	326	1	on	on	ADP
ejpam-6513	326	2	soft	soft	ADJ
ejpam-6513	326	3	topological	topological	ADJ
ejpam-6513	326	4	spaces	space	NOUN
ejpam-6513	326	5	.	.	PUNCT
ejpam-6513	327	1	computers	computer	NOUN
ejpam-6513	327	2	&	&	CCONJ
ejpam-6513	327	3	mathematics	mathematics	PROPN
ejpam-6513	327	4	with	with	ADP
ejpam-6513	327	5	applications	application	NOUN
ejpam-6513	327	6	,	,	PUNCT
ejpam-6513	327	7	61(7):1786–1799	61(7):1786–1799	NUM
ejpam-6513	327	8	,	,	PUNCT
ejpam-6513	327	9	2011	2011	NUM
ejpam-6513	327	10	.	.	PUNCT
ejpam-6513	328	1	[	[	X
ejpam-6513	328	2	16	16	NUM
ejpam-6513	328	3	]	]	X
ejpam-6513	328	4	stephen	stephen	PROPN
ejpam-6513	328	5	willard	willard	PROPN
ejpam-6513	328	6	.	.	PUNCT
ejpam-6513	328	7	general	general	ADJ
ejpam-6513	328	8	topology	topology	PROPN
ejpam-6513	328	9	.	.	PUNCT
ejpam-6513	329	1	addison	addison	PROPN
ejpam-6513	329	2	wesley	wesley	PROPN
ejpam-6513	329	3	pub	pub	PROPN
ejpam-6513	329	4	.	.	PUNCT
ejpam-6513	330	1	co	co	NOUN
ejpam-6513	330	2	,	,	PUNCT
ejpam-6513	330	3	reading	reading	NOUN
ejpam-6513	330	4	,	,	PUNCT
ejpam-6513	330	5	ma	ma	PROPN
ejpam-6513	330	6	,	,	PUNCT
ejpam-6513	330	7	1970	1970	NUM
ejpam-6513	330	8	.	.	PUNCT
ejpam-6513	331	1	[	[	X
ejpam-6513	331	2	17	17	NUM
ejpam-6513	331	3	]	]	PUNCT
ejpam-6513	331	4	ryszard	ryszard	NOUN
ejpam-6513	331	5	engelking	engelke	VERB
ejpam-6513	331	6	.	.	PUNCT
ejpam-6513	332	1	general	general	ADJ
ejpam-6513	332	2	topology	topology	NOUN
ejpam-6513	332	3	,	,	PUNCT
ejpam-6513	332	4	volume	volume	NOUN
ejpam-6513	332	5	529	529	NUM
ejpam-6513	332	6	.	.	PUNCT
ejpam-6513	333	1	heldermann	heldermann	PROPN
ejpam-6513	333	2	,	,	PUNCT
ejpam-6513	333	3	berlin	berlin	PROPN
ejpam-6513	333	4	,	,	PUNCT
ejpam-6513	333	5	1989	1989	NUM
ejpam-6513	333	6	.	.	PUNCT
ejpam-6513	334	1	mr1039321	mr1039321	PROPN
ejpam-6513	334	2	(	(	PUNCT
ejpam-6513	334	3	91c:54001	91c:54001	NUM
ejpam-6513	334	4	)	)	PUNCT
ejpam-6513	334	5	.	.	PUNCT
ejpam-6513	335	1	[	[	X
ejpam-6513	335	2	18	18	NUM
ejpam-6513	335	3	]	]	PUNCT
ejpam-6513	335	4	abdülkadir	abdülkadir	NOUN
ejpam-6513	335	5	aygünoğlu	aygünoğlu	PROPN
ejpam-6513	335	6	and	and	CCONJ
ejpam-6513	335	7	halis	halis	ADJ
ejpam-6513	335	8	aygün	aygün	NOUN
ejpam-6513	335	9	.	.	PUNCT
ejpam-6513	336	1	some	some	DET
ejpam-6513	336	2	notes	note	NOUN
ejpam-6513	336	3	on	on	ADP
ejpam-6513	336	4	soft	soft	ADJ
ejpam-6513	336	5	topological	topological	ADJ
ejpam-6513	336	6	spaces	space	NOUN
ejpam-6513	336	7	.	.	PUNCT
ejpam-6513	337	1	neural	neural	ADJ
ejpam-6513	337	2	computing	computing	NOUN
ejpam-6513	337	3	and	and	CCONJ
ejpam-6513	337	4	applications	application	NOUN
ejpam-6513	337	5	,	,	PUNCT
ejpam-6513	337	6	21(suppl	21(suppl	NUM
ejpam-6513	337	7	1):113–119	1):113–119	NUM
ejpam-6513	337	8	,	,	PUNCT
ejpam-6513	337	9	2012	2012	NUM
ejpam-6513	337	10	.	.	PUNCT
ejpam-6513	338	1	[	[	X
ejpam-6513	338	2	19	19	NUM
ejpam-6513	338	3	]	]	PUNCT
ejpam-6513	338	4	i.	i.	NOUN
ejpam-6513	338	5	arockiarani	arockiarani	PROPN
ejpam-6513	338	6	and	and	CCONJ
ejpam-6513	338	7	a.	a.	PROPN
ejpam-6513	338	8	selvi	selvi	PROPN
ejpam-6513	338	9	.	.	PUNCT
ejpam-6513	339	1	on	on	ADP
ejpam-6513	339	2	soft	soft	ADJ
ejpam-6513	339	3	slightly	slightly	ADV
ejpam-6513	339	4	πg	πg	VERB
ejpam-6513	339	5	-	-	PUNCT
ejpam-6513	339	6	continuous	continuous	ADJ
ejpam-6513	339	7	functions	function	NOUN
ejpam-6513	339	8	.	.	PUNCT
ejpam-6513	340	1	journal	journal	NOUN
ejpam-6513	340	2	of	of	ADP
ejpam-6513	340	3	progressive	progressive	ADJ
ejpam-6513	340	4	research	research	NOUN
ejpam-6513	340	5	in	in	ADP
ejpam-6513	340	6	mathematics	mathematic	NOUN
ejpam-6513	340	7	,	,	PUNCT
ejpam-6513	340	8	3(2):168–174	3(2):168–174	NUM
ejpam-6513	340	9	,	,	PUNCT
ejpam-6513	340	10	2015	2015	NUM
ejpam-6513	340	11	.	.	PUNCT
ejpam-6513	341	1	[	[	X
ejpam-6513	341	2	20	20	NUM
ejpam-6513	341	3	]	]	PUNCT
ejpam-6513	341	4	j.	j.	PROPN
ejpam-6513	341	5	c.	c.	PROPN
ejpam-6513	341	6	tong	tong	PROPN
ejpam-6513	341	7	.	.	PUNCT
ejpam-6513	342	1	a	a	DET
ejpam-6513	342	2	separation	separation	NOUN
ejpam-6513	342	3	axiom	axiom	NOUN
ejpam-6513	342	4	between	between	ADP
ejpam-6513	342	5	t0	t0	PROPN
ejpam-6513	342	6	and	and	CCONJ
ejpam-6513	342	7	t1	t1	NOUN
ejpam-6513	342	8	.	.	PUNCT
ejpam-6513	343	1	annales	annales	PROPN
ejpam-6513	343	2	de	de	ADP
ejpam-6513	343	3	la	la	PROPN
ejpam-6513	343	4	société	société	PROPN
ejpam-6513	343	5	scientifique	scientifique	PROPN
ejpam-6513	343	6	de	de	X
ejpam-6513	343	7	bruxelles	bruxelle	NOUN
ejpam-6513	343	8	,	,	PUNCT
ejpam-6513	343	9	séries	séries	PROPN
ejpam-6513	343	10	1	1	NUM
ejpam-6513	343	11	:	:	PUNCT
ejpam-6513	343	12	sciences	science	NOUN
ejpam-6513	343	13	mathématiques	mathématiques	PROPN
ejpam-6513	343	14	,	,	PUNCT
ejpam-6513	343	15	astronomiques	astronomique	VERB
ejpam-6513	343	16	et	et	NOUN
ejpam-6513	343	17	physiques	physique	NOUN
ejpam-6513	343	18	,	,	PUNCT
ejpam-6513	343	19	96(2):85–90	96(2):85–90	NUM
ejpam-6513	343	20	,	,	PUNCT
ejpam-6513	343	21	1982	1982	NUM
ejpam-6513	343	22	.	.	PUNCT
ejpam-6513	344	1	[	[	X
ejpam-6513	344	2	21	21	NUM
ejpam-6513	344	3	]	]	X
ejpam-6513	344	4	hamza	hamza	PROPN
ejpam-6513	344	5	qoqazeh	qoqazeh	PROPN
ejpam-6513	344	6	,	,	PUNCT
ejpam-6513	344	7	yousef	yousef	PROPN
ejpam-6513	344	8	al	al	PROPN
ejpam-6513	344	9	-	-	PUNCT
ejpam-6513	344	10	qudah	qudah	PROPN
ejpam-6513	344	11	,	,	PUNCT
ejpam-6513	344	12	mohammad	mohammad	PROPN
ejpam-6513	344	13	almousa	almousa	NOUN
ejpam-6513	344	14	,	,	PUNCT
ejpam-6513	344	15	and	and	CCONJ
ejpam-6513	344	16	ali	ali	PROPN
ejpam-6513	344	17	jaradat	jaradat	PROPN
ejpam-6513	344	18	.	.	PUNCT
ejpam-6513	345	1	on	on	ADP
ejpam-6513	345	2	dcompact	dcompact	ADJ
ejpam-6513	345	3	topological	topological	ADJ
ejpam-6513	345	4	spaces	space	NOUN
ejpam-6513	345	5	.	.	PUNCT
ejpam-6513	346	1	journal	journal	NOUN
ejpam-6513	346	2	of	of	ADP
ejpam-6513	346	3	applied	apply	VERB
ejpam-6513	346	4	mathematics	mathematics	PROPN
ejpam-6513	346	5	&	&	CCONJ
ejpam-6513	346	6	informatics	informatic	NOUN
ejpam-6513	346	7	,	,	PUNCT
ejpam-6513	346	8	39(56):883–894	39(56):883–894	NUM
ejpam-6513	346	9	,	,	PUNCT
ejpam-6513	346	10	2021	2021	NUM
ejpam-6513	346	11	.	.	PUNCT
ejpam-6513	347	1	[	[	X
ejpam-6513	347	2	22	22	NUM
ejpam-6513	347	3	]	]	X
ejpam-6513	347	4	jamal	jamal	PROPN
ejpam-6513	347	5	m.	m.	PROPN
ejpam-6513	347	6	mustafa	mustafa	PROPN
ejpam-6513	347	7	and	and	CCONJ
ejpam-6513	347	8	hamzeh	hamzeh	PROPN
ejpam-6513	347	9	a.	a.	PROPN
ejpam-6513	347	10	qoqazeh	qoqazeh	PROPN
ejpam-6513	347	11	.	.	PUNCT
ejpam-6513	348	1	supra	supra	PROPN
ejpam-6513	348	2	d	d	NOUN
ejpam-6513	348	3	-	-	PUNCT
ejpam-6513	348	4	sets	set	NOUN
ejpam-6513	348	5	and	and	CCONJ
ejpam-6513	348	6	associated	associated	ADJ
ejpam-6513	348	7	separation	separation	NOUN
ejpam-6513	348	8	axioms	axiom	NOUN
ejpam-6513	348	9	.	.	PUNCT
ejpam-6513	349	1	international	international	ADJ
ejpam-6513	349	2	journal	journal	NOUN
ejpam-6513	349	3	of	of	ADP
ejpam-6513	349	4	pure	pure	ADJ
ejpam-6513	349	5	and	and	CCONJ
ejpam-6513	349	6	applied	applied	ADJ
ejpam-6513	349	7	mathematics	mathematic	NOUN
ejpam-6513	349	8	,	,	PUNCT
ejpam-6513	349	9	80(5):657–663	80(5):657–663	NUM
ejpam-6513	349	10	,	,	PUNCT
ejpam-6513	349	11	2012	2012	NUM
ejpam-6513	349	12	.	.	PUNCT
ejpam-6513	350	1	[	[	X
ejpam-6513	350	2	23	23	NUM
ejpam-6513	350	3	]	]	X
ejpam-6513	350	4	sabiha	sabiha	PROPN
ejpam-6513	350	5	i.	i.	PROPN
ejpam-6513	350	6	mahmood	mahmood	PROPN
ejpam-6513	350	7	.	.	PUNCT
ejpam-6513	351	1	on	on	ADP
ejpam-6513	351	2	weak	weak	ADJ
ejpam-6513	351	3	soft	soft	ADJ
ejpam-6513	351	4	n	n	CCONJ
ejpam-6513	351	5	-	-	PUNCT
ejpam-6513	351	6	open	open	ADJ
ejpam-6513	351	7	sets	set	NOUN
ejpam-6513	351	8	and	and	CCONJ
ejpam-6513	351	9	weak	weak	ADJ
ejpam-6513	351	10	soft	soft	ADJ
ejpam-6513	351	11	dn	dn	NOUN
ejpam-6513	351	12	-	-	PUNCT
ejpam-6513	351	13	sets	set	NOUN
ejpam-6513	351	14	in	in	ADP
ejpam-6513	351	15	soft	soft	ADJ
ejpam-6513	351	16	topological	topological	ADJ
ejpam-6513	351	17	spaces	space	NOUN
ejpam-6513	351	18	.	.	PUNCT
ejpam-6513	352	1	al	al	PROPN
ejpam-6513	352	2	-	-	PUNCT
ejpam-6513	352	3	nahrain	nahrain	PROPN
ejpam-6513	352	4	journal	journal	NOUN
ejpam-6513	352	5	of	of	ADP
ejpam-6513	352	6	science	science	NOUN
ejpam-6513	352	7	,	,	PUNCT
ejpam-6513	352	8	20(2):131–141	20(2):131–141	NOUN
ejpam-6513	352	9	,	,	PUNCT
ejpam-6513	352	10	2017	2017	NUM
ejpam-6513	352	11	.	.	PUNCT
ejpam-6513	353	1	j.	j.	PROPN
ejpam-6513	353	2	oudetallah	oudetallah	PROPN
ejpam-6513	353	3	et	et	PROPN
ejpam-6513	353	4	al	al	PROPN
ejpam-6513	353	5	.	.	PUNCT
ejpam-6513	353	6	/	/	SYM
ejpam-6513	353	7	eur	eur	PROPN
ejpam-6513	353	8	.	.	PUNCT
ejpam-6513	354	1	j.	j.	PROPN
ejpam-6513	354	2	pure	pure	PROPN
ejpam-6513	354	3	appl	appl	PROPN
ejpam-6513	354	4	.	.	PROPN
ejpam-6513	354	5	math	math	PROPN
ejpam-6513	354	6	,	,	PUNCT
ejpam-6513	354	7	18	18	NUM
ejpam-6513	354	8	(	(	PUNCT
ejpam-6513	354	9	3	3	NUM
ejpam-6513	354	10	)	)	PUNCT
ejpam-6513	354	11	(	(	PUNCT
ejpam-6513	354	12	2025	2025	NUM
ejpam-6513	354	13	)	)	PUNCT
ejpam-6513	354	14	,	,	PUNCT
ejpam-6513	354	15	6513	6513	NUM
ejpam-6513	354	16	14	14	NUM
ejpam-6513	354	17	of	of	ADP
ejpam-6513	354	18	14	14	NUM
ejpam-6513	354	19	[	[	SYM
ejpam-6513	354	20	24	24	NUM
ejpam-6513	354	21	]	]	X
ejpam-6513	354	22	jamal	jamal	PROPN
ejpam-6513	354	23	oudetallah	oudetallah	PROPN
ejpam-6513	354	24	,	,	PUNCT
ejpam-6513	354	25	rehab	rehab	NOUN
ejpam-6513	354	26	alharbi	alharbi	NOUN
ejpam-6513	354	27	,	,	PUNCT
ejpam-6513	354	28	salsabiela	salsabiela	PROPN
ejpam-6513	354	29	rawashdeh	rawashdeh	PROPN
ejpam-6513	354	30	,	,	PUNCT
ejpam-6513	354	31	and	and	CCONJ
ejpam-6513	354	32	ala	ala	PROPN
ejpam-6513	354	33	amourah	amourah	PROPN
ejpam-6513	354	34	.	.	PUNCT
ejpam-6513	355	1	lindelöfness	lindelöfness	X
ejpam-6513	355	2	spaces	space	NOUN
ejpam-6513	355	3	in	in	ADP
ejpam-6513	355	4	nth	nth	PROPN
ejpam-6513	355	5	topological	topological	ADJ
ejpam-6513	355	6	spaces	space	NOUN
ejpam-6513	355	7	.	.	PUNCT
ejpam-6513	356	1	international	international	ADJ
ejpam-6513	356	2	journal	journal	PROPN
ejpam-6513	356	3	of	of	ADP
ejpam-6513	356	4	neutrosophic	neutrosophic	ADJ
ejpam-6513	356	5	science	science	NOUN
ejpam-6513	356	6	(	(	PUNCT
ejpam-6513	356	7	ijns	ijns	PROPN
ejpam-6513	356	8	)	)	PUNCT
ejpam-6513	356	9	,	,	PUNCT
ejpam-6513	356	10	25(3	25(3	NUM
ejpam-6513	356	11	)	)	PUNCT
ejpam-6513	356	12	,	,	PUNCT
ejpam-6513	356	13	2025	2025	NUM
ejpam-6513	356	14	.	.	PUNCT
ejpam-6513	357	1	[	[	X
ejpam-6513	357	2	25	25	NUM
ejpam-6513	357	3	]	]	PUNCT
ejpam-6513	357	4	ala	ala	PROPN
ejpam-6513	357	5	amourah	amourah	PROPN
ejpam-6513	357	6	,	,	PUNCT
ejpam-6513	357	7	jamal	jamal	PROPN
ejpam-6513	357	8	oudetallah	oudetallah	PROPN
ejpam-6513	357	9	,	,	PUNCT
ejpam-6513	357	10	iqbal	iqbal	PROPN
ejpam-6513	357	11	m.	m.	PROPN
ejpam-6513	357	12	batiha	batiha	PROPN
ejpam-6513	357	13	,	,	PUNCT
ejpam-6513	357	14	salsabiela	salsabiela	PROPN
ejpam-6513	357	15	rawashdeh	rawashdeh	PROPN
ejpam-6513	357	16	,	,	PUNCT
ejpam-6513	357	17	sultan	sultan	PROPN
ejpam-6513	357	18	alsaadi	alsaadi	NOUN
ejpam-6513	357	19	,	,	PUNCT
ejpam-6513	357	20	and	and	CCONJ
ejpam-6513	357	21	tala	tala	PROPN
ejpam-6513	357	22	sasa	sasa	PROPN
ejpam-6513	357	23	.	.	PUNCT
ejpam-6513	358	1	some	some	DET
ejpam-6513	358	2	types	type	NOUN
ejpam-6513	358	3	of	of	ADP
ejpam-6513	358	4	tri	tri	ADJ
ejpam-6513	358	5	-	-	ADJ
ejpam-6513	358	6	locally	locally	ADV
ejpam-6513	358	7	compactness	compactness	NOUN
ejpam-6513	358	8	spaces	space	NOUN
ejpam-6513	358	9	.	.	PUNCT
ejpam-6513	359	1	european	european	ADJ
ejpam-6513	359	2	journal	journal	PROPN
ejpam-6513	359	3	of	of	ADP
ejpam-6513	359	4	pure	pure	ADJ
ejpam-6513	359	5	and	and	CCONJ
ejpam-6513	359	6	applied	applied	ADJ
ejpam-6513	359	7	mathematics	mathematic	NOUN
ejpam-6513	359	8	,	,	PUNCT
ejpam-6513	359	9	18(2):5764–5764	18(2):5764–5764	NUM
ejpam-6513	359	10	,	,	PUNCT
ejpam-6513	359	11	2025	2025	NUM
ejpam-6513	359	12	.	.	PUNCT
ejpam-6513	360	1	[	[	X
ejpam-6513	360	2	26	26	NUM
ejpam-6513	360	3	]	]	X
ejpam-6513	360	4	jamal	jamal	PROPN
ejpam-6513	360	5	oudetallah	oudetallah	PROPN
ejpam-6513	360	6	,	,	PUNCT
ejpam-6513	360	7	rehab	rehab	NOUN
ejpam-6513	360	8	alharbi	alharbi	NOUN
ejpam-6513	360	9	,	,	PUNCT
ejpam-6513	360	10	iqbal	iqbal	PROPN
ejpam-6513	360	11	batiha	batiha	PROPN
ejpam-6513	360	12	,	,	PUNCT
ejpam-6513	360	13	salsabiela	salsabiela	PROPN
ejpam-6513	360	14	rawashdeh	rawashdeh	PROPN
ejpam-6513	360	15	,	,	PUNCT
ejpam-6513	360	16	and	and	CCONJ
ejpam-6513	360	17	ala	ala	PROPN
ejpam-6513	360	18	amourah	amourah	PROPN
ejpam-6513	360	19	.	.	PUNCT
ejpam-6513	361	1	some	some	DET
ejpam-6513	361	2	types	type	NOUN
ejpam-6513	361	3	of	of	ADP
ejpam-6513	361	4	tri	tri	ADJ
ejpam-6513	361	5	-	-	ADJ
ejpam-6513	361	6	lindelöfness	lindelöfness	ADJ
ejpam-6513	361	7	spaces	space	NOUN
ejpam-6513	361	8	.	.	PUNCT
ejpam-6513	362	1	european	european	ADJ
ejpam-6513	362	2	journal	journal	PROPN
ejpam-6513	362	3	of	of	ADP
ejpam-6513	362	4	pure	pure	ADJ
ejpam-6513	362	5	and	and	CCONJ
ejpam-6513	362	6	applied	applied	ADJ
ejpam-6513	362	7	mathematics	mathematic	NOUN
ejpam-6513	362	8	,	,	PUNCT
ejpam-6513	362	9	18(2):5578–5578	18(2):5578–5578	NUM
ejpam-6513	362	10	,	,	PUNCT
ejpam-6513	362	11	2025	2025	NUM
ejpam-6513	362	12	.	.	PUNCT
ejpam-6513	363	1	[	[	X
ejpam-6513	363	2	27	27	NUM
ejpam-6513	363	3	]	]	X
ejpam-6513	363	4	ala	ala	PROPN
ejpam-6513	363	5	amourah	amourah	PROPN
ejpam-6513	363	6	,	,	PUNCT
ejpam-6513	363	7	jamal	jamal	PROPN
ejpam-6513	363	8	oudetallah	oudetallah	PROPN
ejpam-6513	363	9	,	,	PUNCT
ejpam-6513	363	10	iqbal	iqbal	PROPN
ejpam-6513	363	11	batiha	batiha	PROPN
ejpam-6513	363	12	,	,	PUNCT
ejpam-6513	363	13	jamal	jamal	PROPN
ejpam-6513	363	14	salah	salah	PROPN
ejpam-6513	363	15	,	,	PUNCT
ejpam-6513	363	16	and	and	CCONJ
ejpam-6513	363	17	mutaz	mutaz	NOUN
ejpam-6513	363	18	shatnawi	shatnawi	ADJ
ejpam-6513	363	19	.	.	PUNCT
ejpam-6513	364	1	σ	σ	NOUN
ejpam-6513	364	2	-	-	ADJ
ejpam-6513	364	3	compact	compact	ADJ
ejpam-6513	364	4	spaces	space	NOUN
ejpam-6513	364	5	in	in	ADP
ejpam-6513	364	6	nth	nth	ADJ
ejpam-6513	364	7	-	-	ADJ
ejpam-6513	364	8	topological	topological	ADJ
ejpam-6513	364	9	space	space	NOUN
ejpam-6513	364	10	.	.	PUNCT
ejpam-6513	365	1	european	european	ADJ
ejpam-6513	365	2	journal	journal	PROPN
ejpam-6513	365	3	of	of	ADP
ejpam-6513	365	4	pure	pure	ADJ
ejpam-6513	365	5	and	and	CCONJ
ejpam-6513	365	6	applied	applied	ADJ
ejpam-6513	365	7	mathematics	mathematic	NOUN
ejpam-6513	365	8	,	,	PUNCT
ejpam-6513	365	9	18(2):5802–5802	18(2):5802–5802	NUM
ejpam-6513	365	10	,	,	PUNCT
ejpam-6513	365	11	2025	2025	NUM
ejpam-6513	365	12	.	.	PUNCT
ejpam-6513	366	1	[	[	X
ejpam-6513	366	2	28	28	NUM
ejpam-6513	366	3	]	]	X
ejpam-6513	366	4	tareq	tareq	PROPN
ejpam-6513	366	5	m.	m.	PROPN
ejpam-6513	366	6	al	al	PROPN
ejpam-6513	366	7	-	-	PUNCT
ejpam-6513	366	8	shami	shami	PROPN
ejpam-6513	366	9	,	,	PUNCT
ejpam-6513	366	10	abdelwaheb	abdelwaheb	PROPN
ejpam-6513	366	11	mhemdi	mhemdi	PROPN
ejpam-6513	366	12	,	,	PUNCT
ejpam-6513	366	13	radwan	radwan	VERB
ejpam-6513	366	14	abu	abu	PROPN
ejpam-6513	366	15	-	-	PUNCT
ejpam-6513	366	16	gdairi	gdairi	PROPN
ejpam-6513	366	17	,	,	PUNCT
ejpam-6513	366	18	and	and	CCONJ
ejpam-6513	366	19	mohammed	mohammed	PROPN
ejpam-6513	366	20	e.	e.	PROPN
ejpam-6513	366	21	el	el	PROPN
ejpam-6513	366	22	-	-	PROPN
ejpam-6513	366	23	shafei	shafei	PROPN
ejpam-6513	366	24	.	.	PUNCT
ejpam-6513	367	1	compactness	compactness	NOUN
ejpam-6513	367	2	and	and	CCONJ
ejpam-6513	367	3	connectedness	connectedness	NOUN
ejpam-6513	367	4	via	via	ADP
ejpam-6513	367	5	the	the	DET
ejpam-6513	367	6	class	class	NOUN
ejpam-6513	367	7	of	of	ADP
ejpam-6513	367	8	soft	soft	ADJ
ejpam-6513	367	9	somewhat	somewhat	ADV
ejpam-6513	367	10	open	open	ADJ
ejpam-6513	367	11	sets	set	NOUN
ejpam-6513	367	12	.	.	PUNCT
ejpam-6513	368	1	aims	aim	VERB
ejpam-6513	368	2	mathematics	mathematic	NOUN
ejpam-6513	368	3	,	,	PUNCT
ejpam-6513	368	4	8(1):815–840	8(1):815–840	NUM
ejpam-6513	368	5	,	,	PUNCT
ejpam-6513	368	6	2023	2023	NUM
ejpam-6513	368	7	.	.	PUNCT
ejpam-6513	369	1	[	[	X
ejpam-6513	369	2	29	29	NUM
ejpam-6513	369	3	]	]	PUNCT
ejpam-6513	369	4	abdelwaheb	abdelwaheb	PROPN
ejpam-6513	369	5	mhemdi	mhemdi	PROPN
ejpam-6513	369	6	.	.	PUNCT
ejpam-6513	370	1	novel	novel	ADJ
ejpam-6513	370	2	types	type	NOUN
ejpam-6513	370	3	of	of	ADP
ejpam-6513	370	4	soft	soft	ADJ
ejpam-6513	370	5	compact	compact	ADJ
ejpam-6513	370	6	and	and	CCONJ
ejpam-6513	370	7	connected	connected	ADJ
ejpam-6513	370	8	spaces	space	NOUN
ejpam-6513	370	9	inspired	inspire	VERB
ejpam-6513	370	10	by	by	ADP
ejpam-6513	370	11	soft	soft	ADJ
ejpam-6513	370	12	q	q	NOUN
ejpam-6513	370	13	-	-	PUNCT
ejpam-6513	370	14	sets	set	NOUN
ejpam-6513	370	15	.	.	PUNCT
ejpam-6513	371	1	filomat	filomat	NOUN
ejpam-6513	371	2	,	,	PUNCT
ejpam-6513	371	3	37(28):9617–9626	37(28):9617–9626	NUM
ejpam-6513	371	4	,	,	PUNCT
ejpam-6513	371	5	2023	2023	NUM
ejpam-6513	371	6	.	.	PUNCT
ejpam-6513	372	1	[	[	X
ejpam-6513	372	2	30	30	NUM
ejpam-6513	372	3	]	]	X
ejpam-6513	372	4	mesfer	mesfer	NOUN
ejpam-6513	372	5	h.	h.	PROPN
ejpam-6513	372	6	alqahtani	alqahtani	PROPN
ejpam-6513	372	7	and	and	CCONJ
ejpam-6513	372	8	zanyar	zanyar	PROPN
ejpam-6513	372	9	a.	a.	NOUN
ejpam-6513	372	10	ameen	ameen	PROPN
ejpam-6513	372	11	.	.	PUNCT
ejpam-6513	373	1	soft	soft	ADJ
ejpam-6513	373	2	nodec	nodec	ADJ
ejpam-6513	373	3	spaces	space	NOUN
ejpam-6513	373	4	.	.	PUNCT
ejpam-6513	374	1	aims	aim	VERB
ejpam-6513	374	2	mathematics	mathematic	NOUN
ejpam-6513	374	3	,	,	PUNCT
ejpam-6513	374	4	9(2):3289–3302	9(2):3289–3302	PROPN
ejpam-6513	374	5	,	,	PUNCT
ejpam-6513	374	6	2024	2024	NUM
ejpam-6513	374	7	.	.	PUNCT
ejpam-6513	375	1	[	[	X
ejpam-6513	375	2	31	31	NUM
ejpam-6513	375	3	]	]	PUNCT
ejpam-6513	375	4	ohud	ohud	PROPN
ejpam-6513	375	5	f.	f.	PROPN
ejpam-6513	375	6	alghamdi	alghamdi	PROPN
ejpam-6513	375	7	,	,	PUNCT
ejpam-6513	375	8	mesfer	mesfer	VERB
ejpam-6513	375	9	h.	h.	PROPN
ejpam-6513	375	10	alqahtani	alqahtani	PROPN
ejpam-6513	375	11	,	,	PUNCT
ejpam-6513	375	12	and	and	CCONJ
ejpam-6513	375	13	zanyar	zanyar	PROPN
ejpam-6513	375	14	a.	a.	NOUN
ejpam-6513	375	15	ameen	ameen	PROPN
ejpam-6513	375	16	.	.	PUNCT
ejpam-6513	376	1	on	on	ADP
ejpam-6513	376	2	soft	soft	ADJ
ejpam-6513	376	3	submaximal	submaximal	ADJ
ejpam-6513	376	4	and	and	CCONJ
ejpam-6513	376	5	soft	soft	ADJ
ejpam-6513	376	6	door	door	NOUN
ejpam-6513	376	7	spaces	space	NOUN
ejpam-6513	376	8	.	.	PUNCT
ejpam-6513	377	1	contemporary	contemporary	ADJ
ejpam-6513	377	2	mathematics	mathematic	NOUN
ejpam-6513	377	3	,	,	PUNCT
ejpam-6513	377	4	pages	page	NOUN
ejpam-6513	377	5	663–675	663–675	NUM
ejpam-6513	377	6	,	,	PUNCT
ejpam-6513	377	7	2025	2025	NUM
ejpam-6513	377	8	.	.	PUNCT
ejpam-6513	378	1	[	[	X
ejpam-6513	378	2	32	32	NUM
ejpam-6513	378	3	]	]	SYM
ejpam-6513	378	4	hind	hind	NOUN
ejpam-6513	378	5	y.	y.	PROPN
ejpam-6513	378	6	saleh	saleh	PROPN
ejpam-6513	378	7	and	and	CCONJ
ejpam-6513	378	8	areen	areen	PROPN
ejpam-6513	378	9	a.	a.	PROPN
ejpam-6513	378	10	salih	salih	PROPN
ejpam-6513	378	11	.	.	PUNCT
ejpam-6513	379	1	c	c	X
ejpam-6513	379	2	-	-	PUNCT
ejpam-6513	379	3	continuity	continuity	NOUN
ejpam-6513	379	4	,	,	PUNCT
ejpam-6513	379	5	c	c	NOUN
ejpam-6513	379	6	-	-	PUNCT
ejpam-6513	379	7	compact	compact	ADJ
ejpam-6513	379	8	and	and	CCONJ
ejpam-6513	379	9	c	c	NOUN
ejpam-6513	379	10	-	-	PUNCT
ejpam-6513	379	11	separation	separation	NOUN
ejpam-6513	379	12	axioms	axiom	NOUN
ejpam-6513	379	13	via	via	ADP
ejpam-6513	379	14	soft	soft	ADJ
ejpam-6513	379	15	sets	set	NOUN
ejpam-6513	379	16	.	.	PUNCT
ejpam-6513	380	1	neutrosophic	neutrosophic	ADJ
ejpam-6513	380	2	sets	set	NOUN
ejpam-6513	380	3	and	and	CCONJ
ejpam-6513	380	4	systems	system	NOUN
ejpam-6513	380	5	,	,	PUNCT
ejpam-6513	380	6	73(1):51	73(1):51	NUM
ejpam-6513	380	7	,	,	PUNCT
ejpam-6513	380	8	2024	2024	NUM
ejpam-6513	380	9	.	.	PUNCT
ejpam-6513	381	1	[	[	X
ejpam-6513	381	2	33	33	NUM
ejpam-6513	381	3	]	]	PUNCT
ejpam-6513	381	4	jawaher	jawaher	PROPN
ejpam-6513	381	5	al	al	PROPN
ejpam-6513	381	6	-	-	PUNCT
ejpam-6513	381	7	mufarrij	mufarrij	PROPN
ejpam-6513	381	8	and	and	CCONJ
ejpam-6513	381	9	samer	samer	PROPN
ejpam-6513	381	10	al	al	PROPN
ejpam-6513	381	11	-	-	PUNCT
ejpam-6513	381	12	ghour	ghour	PROPN
ejpam-6513	381	13	.	.	PUNCT
ejpam-6513	382	1	regular	regular	ADJ
ejpam-6513	382	2	-	-	PUNCT
ejpam-6513	382	3	closed	close	VERB
ejpam-6513	382	4	functions	function	NOUN
ejpam-6513	382	5	between	between	ADP
ejpam-6513	382	6	soft	soft	ADJ
ejpam-6513	382	7	topological	topological	ADJ
ejpam-6513	382	8	spaces	space	NOUN
ejpam-6513	382	9	.	.	PUNCT
ejpam-6513	383	1	international	international	ADJ
ejpam-6513	383	2	journal	journal	PROPN
ejpam-6513	383	3	of	of	ADP
ejpam-6513	383	4	neutrosophic	neutrosophic	ADJ
ejpam-6513	383	5	science	science	NOUN
ejpam-6513	383	6	(	(	PUNCT
ejpam-6513	383	7	ijns	ijns	PROPN
ejpam-6513	383	8	)	)	PUNCT
ejpam-6513	383	9	,	,	PUNCT
ejpam-6513	383	10	25(3	25(3	NUM
ejpam-6513	383	11	)	)	PUNCT
ejpam-6513	383	12	,	,	PUNCT
ejpam-6513	383	13	2025	2025	NUM
ejpam-6513	383	14	.	.	PUNCT
ejpam-6513	384	1	[	[	X
ejpam-6513	384	2	34	34	NUM
ejpam-6513	384	3	]	]	X
ejpam-6513	384	4	ibtesam	ibtesam	PROPN
ejpam-6513	384	5	alshammari	alshammari	PROPN
ejpam-6513	384	6	,	,	PUNCT
ejpam-6513	384	7	osama	osama	PROPN
ejpam-6513	384	8	taha	taha	PROPN
ejpam-6513	384	9	,	,	PUNCT
ejpam-6513	384	10	mostafa	mostafa	PROPN
ejpam-6513	384	11	el	el	PROPN
ejpam-6513	384	12	-	-	PROPN
ejpam-6513	384	13	bably	bably	PROPN
ejpam-6513	384	14	,	,	PUNCT
ejpam-6513	384	15	and	and	CCONJ
ejpam-6513	384	16	islam	islam	PROPN
ejpam-6513	384	17	taha	taha	PROPN
ejpam-6513	384	18	.	.	PUNCT
ejpam-6513	385	1	on	on	ADP
ejpam-6513	385	2	r	r	NOUN
ejpam-6513	385	3	-	-	PUNCT
ejpam-6513	385	4	fuzzy	fuzzy	ADJ
ejpam-6513	385	5	soft	soft	ADJ
ejpam-6513	385	6	δ	δ	NOUN
ejpam-6513	385	7	-	-	ADJ
ejpam-6513	385	8	open	open	ADJ
ejpam-6513	385	9	sets	set	NOUN
ejpam-6513	385	10	with	with	ADP
ejpam-6513	385	11	applications	application	NOUN
ejpam-6513	385	12	in	in	ADP
ejpam-6513	385	13	fuzzy	fuzzy	ADJ
ejpam-6513	385	14	soft	soft	ADJ
ejpam-6513	385	15	topological	topological	ADJ
ejpam-6513	385	16	spaces	space	NOUN
ejpam-6513	385	17	.	.	PUNCT
ejpam-6513	386	1	european	european	ADJ
ejpam-6513	386	2	journal	journal	PROPN
ejpam-6513	386	3	of	of	ADP
ejpam-6513	386	4	pure	pure	ADJ
ejpam-6513	386	5	and	and	CCONJ
ejpam-6513	386	6	applied	applied	ADJ
ejpam-6513	386	7	mathematics	mathematic	NOUN
ejpam-6513	386	8	,	,	PUNCT
ejpam-6513	386	9	18(1):5733–5733	18(1):5733–5733	NUM
ejpam-6513	386	10	,	,	PUNCT
ejpam-6513	386	11	2025	2025	NUM
ejpam-6513	386	12	.	.	PUNCT
ejpam-6513	387	1	[	[	X
ejpam-6513	387	2	35	35	NUM
ejpam-6513	387	3	]	]	X
ejpam-6513	387	4	jamal	jamal	PROPN
ejpam-6513	387	5	a.	a.	PROPN
ejpam-6513	387	6	oudetallah	oudetallah	PROPN
ejpam-6513	387	7	and	and	CCONJ
ejpam-6513	387	8	abualigah	abualigah	PROPN
ejpam-6513	387	9	laith	laith	PROPN
ejpam-6513	387	10	.	.	PUNCT
ejpam-6513	388	1	h	h	NOUN
ejpam-6513	388	2	-	-	PUNCT
ejpam-6513	388	3	convexity	convexity	NOUN
ejpam-6513	388	4	in	in	ADP
ejpam-6513	388	5	metric	metric	ADJ
ejpam-6513	388	6	linear	linear	ADJ
ejpam-6513	388	7	spaces	space	NOUN
ejpam-6513	388	8	.	.	PUNCT
ejpam-6513	389	1	international	international	ADJ
ejpam-6513	389	2	journal	journal	NOUN
ejpam-6513	389	3	,	,	PUNCT
ejpam-6513	389	4	8(6	8(6	NUM
ejpam-6513	389	5	)	)	PUNCT
ejpam-6513	389	6	,	,	PUNCT
ejpam-6513	389	7	2019	2019	NUM
ejpam-6513	389	8	.	.	PUNCT
ejpam-6513	390	1	[	[	X
ejpam-6513	390	2	36	36	NUM
ejpam-6513	390	3	]	]	X
ejpam-6513	390	4	mikhail	mikhail	PROPN
ejpam-6513	390	5	tkachenko	tkachenko	PROPN
ejpam-6513	390	6	.	.	PUNCT
ejpam-6513	391	1	locally	locally	ADV
ejpam-6513	391	2	homeomorphic	homeomorphic	ADJ
ejpam-6513	391	3	infinite	infinite	ADJ
ejpam-6513	391	4	lindelöf	lindelöf	NOUN
ejpam-6513	391	5	p	p	NOUN
ejpam-6513	391	6	-	-	PUNCT
ejpam-6513	391	7	groups	group	NOUN
ejpam-6513	391	8	are	be	AUX
ejpam-6513	391	9	homeomorphic	homeomorphic	ADJ
ejpam-6513	391	10	.	.	PUNCT
ejpam-6513	392	1	topology	topology	NOUN
ejpam-6513	392	2	and	and	CCONJ
ejpam-6513	392	3	its	its	PRON
ejpam-6513	392	4	applications	application	NOUN
ejpam-6513	392	5	,	,	PUNCT
ejpam-6513	392	6	355:109005	355:109005	NUM
ejpam-6513	392	7	,	,	PUNCT
ejpam-6513	392	8	2024	2024	NUM
ejpam-6513	392	9	.	.	PUNCT
ejpam-6513	393	1	[	[	X
ejpam-6513	393	2	37	37	NUM
ejpam-6513	393	3	]	]	X
ejpam-6513	393	4	mostafa	mostafa	PROPN
ejpam-6513	393	5	k.	k.	PROPN
ejpam-6513	393	6	el	el	PROPN
ejpam-6513	393	7	-	-	PROPN
ejpam-6513	393	8	bably	bably	ADV
ejpam-6513	393	9	,	,	PUNCT
ejpam-6513	393	10	rodyna	rodyna	PROPN
ejpam-6513	393	11	a.	a.	PROPN
ejpam-6513	393	12	hosny	hosny	PROPN
ejpam-6513	393	13	,	,	PUNCT
ejpam-6513	393	14	and	and	CCONJ
ejpam-6513	393	15	mostafa	mostafa	PROPN
ejpam-6513	393	16	a.	a.	PROPN
ejpam-6513	393	17	el	el	PROPN
ejpam-6513	393	18	-	-	PROPN
ejpam-6513	393	19	gayar	gayar	NOUN
ejpam-6513	393	20	.	.	PUNCT
ejpam-6513	394	1	innovative	innovative	ADJ
ejpam-6513	394	2	rough	rough	ADJ
ejpam-6513	394	3	set	set	NOUN
ejpam-6513	394	4	approaches	approach	NOUN
ejpam-6513	394	5	using	use	VERB
ejpam-6513	394	6	novel	novel	ADJ
ejpam-6513	394	7	initial	initial	ADJ
ejpam-6513	394	8	-	-	PUNCT
ejpam-6513	394	9	neighborhood	neighborhood	NOUN
ejpam-6513	394	10	systems	system	NOUN
ejpam-6513	394	11	:	:	PUNCT
ejpam-6513	394	12	applications	application	NOUN
ejpam-6513	394	13	in	in	ADP
ejpam-6513	394	14	medical	medical	ADJ
ejpam-6513	394	15	diagnosis	diagnosis	NOUN
ejpam-6513	394	16	of	of	ADP
ejpam-6513	394	17	covid-19	covid-19	PROPN
ejpam-6513	394	18	variants	variant	NOUN
ejpam-6513	394	19	.	.	PUNCT
ejpam-6513	395	1	information	information	NOUN
ejpam-6513	395	2	sciences	science	NOUN
ejpam-6513	395	3	,	,	PUNCT
ejpam-6513	395	4	page	page	NOUN
ejpam-6513	395	5	122044	122044	NUM
ejpam-6513	395	6	,	,	PUNCT
ejpam-6513	395	7	2025	2025	NUM
ejpam-6513	395	8	.	.	PUNCT
ejpam-6513	396	1	[	[	X
ejpam-6513	396	2	38	38	NUM
ejpam-6513	396	3	]	]	PUNCT
ejpam-6513	396	4	radwan	radwan	VERB
ejpam-6513	396	5	abu	abu	PROPN
ejpam-6513	396	6	-	-	PUNCT
ejpam-6513	396	7	gdairi	gdairi	PROPN
ejpam-6513	396	8	and	and	CCONJ
ejpam-6513	396	9	mostafa	mostafa	PROPN
ejpam-6513	396	10	k.	k.	PROPN
ejpam-6513	397	1	el	el	PROPN
ejpam-6513	397	2	-	-	PROPN
ejpam-6513	397	3	bably	bably	ADV
ejpam-6513	397	4	.	.	PUNCT
ejpam-6513	398	1	the	the	DET
ejpam-6513	398	2	accurate	accurate	ADJ
ejpam-6513	398	3	diagnosis	diagnosis	NOUN
ejpam-6513	398	4	for	for	ADP
ejpam-6513	398	5	covid-19	covid-19	PROPN
ejpam-6513	398	6	variants	variant	NOUN
ejpam-6513	398	7	using	use	VERB
ejpam-6513	398	8	nearly	nearly	ADV
ejpam-6513	398	9	initial	initial	ADJ
ejpam-6513	398	10	-	-	PUNCT
ejpam-6513	398	11	rough	rough	ADJ
ejpam-6513	398	12	sets	set	NOUN
ejpam-6513	398	13	.	.	PUNCT
ejpam-6513	399	1	heliyon	heliyon	NOUN
ejpam-6513	399	2	,	,	PUNCT
ejpam-6513	399	3	10(10	10(10	NUM
ejpam-6513	399	4	)	)	PUNCT
ejpam-6513	399	5	,	,	PUNCT
ejpam-6513	399	6	2024	2024	NUM
ejpam-6513	399	7	.	.	PUNCT
ejpam-6513	400	1	[	[	X
ejpam-6513	400	2	39	39	NUM
ejpam-6513	400	3	]	]	PUNCT
ejpam-6513	400	4	a.	a.	NOUN
ejpam-6513	400	5	nawar	nawar	PROPN
ejpam-6513	400	6	,	,	PUNCT
ejpam-6513	400	7	r.	r.	PROPN
ejpam-6513	400	8	abu	abu	PROPN
ejpam-6513	400	9	-	-	PUNCT
ejpam-6513	400	10	gdairi	gdairi	PROPN
ejpam-6513	400	11	,	,	PUNCT
ejpam-6513	400	12	m.	m.	NOUN
ejpam-6513	400	13	el	el	PROPN
ejpam-6513	400	14	-	-	PROPN
ejpam-6513	400	15	bably	bably	ADV
ejpam-6513	400	16	,	,	PUNCT
ejpam-6513	400	17	and	and	CCONJ
ejpam-6513	400	18	h.	h.	PROPN
ejpam-6513	400	19	atallah	atallah	PROPN
ejpam-6513	400	20	.	.	PUNCT
ejpam-6513	401	1	enhancing	enhance	VERB
ejpam-6513	401	2	rheumatic	rheumatic	ADJ
ejpam-6513	401	3	fever	fever	NOUN
ejpam-6513	401	4	analysis	analysis	NOUN
ejpam-6513	401	5	via	via	ADP
ejpam-6513	401	6	tritopological	tritopological	ADJ
ejpam-6513	401	7	approximation	approximation	NOUN
ejpam-6513	401	8	spaces	space	NOUN
ejpam-6513	401	9	for	for	ADP
ejpam-6513	401	10	data	data	NOUN
ejpam-6513	401	11	reduction	reduction	NOUN
ejpam-6513	401	12	.	.	PUNCT
ejpam-6513	402	1	malaysian	malaysian	ADJ
ejpam-6513	402	2	journal	journal	PROPN
ejpam-6513	402	3	of	of	ADP
ejpam-6513	402	4	mathematical	mathematical	ADJ
ejpam-6513	402	5	sciences	science	NOUN
ejpam-6513	402	6	,	,	PUNCT
ejpam-6513	402	7	18(2):321–341	18(2):321–341	NUM
ejpam-6513	402	8	,	,	PUNCT
ejpam-6513	402	9	2024	2024	NUM
ejpam-6513	402	10	.	.	PUNCT
ejpam-6513	403	1	[	[	X
ejpam-6513	403	2	40	40	NUM
ejpam-6513	403	3	]	]	PUNCT
ejpam-6513	403	4	mostafa	mostafa	PROPN
ejpam-6513	403	5	k.	k.	PROPN
ejpam-6513	404	1	el	el	PROPN
ejpam-6513	404	2	-	-	PROPN
ejpam-6513	404	3	bably	bably	ADV
ejpam-6513	404	4	,	,	PUNCT
ejpam-6513	404	5	radwan	radwan	VERB
ejpam-6513	404	6	abu	abu	PROPN
ejpam-6513	404	7	-	-	PUNCT
ejpam-6513	404	8	gdairi	gdairi	PROPN
ejpam-6513	404	9	,	,	PUNCT
ejpam-6513	404	10	k.	k.	PROPN
ejpam-6513	404	11	k.	k.	PROPN
ejpam-6513	404	12	fleifel	fleifel	PROPN
ejpam-6513	404	13	,	,	PUNCT
ejpam-6513	404	14	and	and	CCONJ
ejpam-6513	404	15	mostafa	mostafa	PROPN
ejpam-6513	404	16	a.	a.	PROPN
ejpam-6513	404	17	el	el	PROPN
ejpam-6513	404	18	-	-	PROPN
ejpam-6513	404	19	gayar	gayar	NOUN
ejpam-6513	404	20	.	.	PUNCT
ejpam-6513	405	1	exploring	explore	VERB
ejpam-6513	405	2	β	β	NOUN
ejpam-6513	405	3	-	-	ADJ
ejpam-6513	405	4	basic	basic	ADJ
ejpam-6513	405	5	rough	rough	ADJ
ejpam-6513	405	6	sets	set	NOUN
ejpam-6513	405	7	and	and	CCONJ
ejpam-6513	405	8	their	their	PRON
ejpam-6513	405	9	applications	application	NOUN
ejpam-6513	405	10	in	in	ADP
ejpam-6513	405	11	medicine	medicine	NOUN
ejpam-6513	405	12	.	.	PUNCT
ejpam-6513	406	1	european	european	ADJ
ejpam-6513	406	2	journal	journal	PROPN
ejpam-6513	406	3	of	of	ADP
ejpam-6513	406	4	pure	pure	ADJ
ejpam-6513	406	5	and	and	CCONJ
ejpam-6513	406	6	applied	applied	ADJ
ejpam-6513	406	7	mathematics	mathematic	NOUN
ejpam-6513	406	8	,	,	PUNCT
ejpam-6513	406	9	17(4):3743–3771	17(4):3743–3771	NUM
ejpam-6513	406	10	,	,	PUNCT
ejpam-6513	406	11	2024	2024	NUM
ejpam-6513	406	12	.	.	PUNCT