id	sid	tid	token	lemma	pos
ejpam-1975	1	1	european	european	PROPN
ejpam-1975	1	2	journal	journal	PROPN
ejpam-1975	1	3	of	of	ADP
ejpam-1975	1	4	pure	pure	ADJ
ejpam-1975	1	5	and	and	CCONJ
ejpam-1975	1	6	applied	apply	VERB
ejpam-1975	1	7	mathematics	mathematic	NOUN
ejpam-1975	1	8	vol	vol	NOUN
ejpam-1975	1	9	.	.	PUNCT
ejpam-1975	2	1	7	7	NUM
ejpam-1975	2	2	,	,	PUNCT
ejpam-1975	2	3	no	no	INTJ
ejpam-1975	2	4	.	.	NOUN
ejpam-1975	2	5	1	1	NUM
ejpam-1975	2	6	,	,	PUNCT
ejpam-1975	2	7	2014	2014	NUM
ejpam-1975	2	8	,	,	PUNCT
ejpam-1975	2	9	97	97	NUM
ejpam-1975	2	10	-	-	SYM
ejpam-1975	2	11	108	108	NUM
ejpam-1975	2	12	issn	issn	PROPN
ejpam-1975	2	13	1307	1307	NUM
ejpam-1975	2	14	-	-	SYM
ejpam-1975	2	15	5543	5543	NUM
ejpam-1975	2	16	–	–	PUNCT
ejpam-1975	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-1975	2	18	compact	compact	ADJ
ejpam-1975	2	19	soft	soft	ADJ
ejpam-1975	2	20	multi	multi	ADJ
ejpam-1975	2	21	spaces	space	NOUN
ejpam-1975	2	22	i̇smail	i̇smail	ADJ
ejpam-1975	2	23	osmanoğlu	osmanoğlu	PROPN
ejpam-1975	2	24	and	and	CCONJ
ejpam-1975	2	25	deniz	deniz	PROPN
ejpam-1975	2	26	tokat∗	tokat∗	PROPN
ejpam-1975	2	27	department	department	PROPN
ejpam-1975	2	28	of	of	ADP
ejpam-1975	2	29	mathematics	mathematic	NOUN
ejpam-1975	2	30	,	,	PUNCT
ejpam-1975	2	31	faculty	faculty	NOUN
ejpam-1975	2	32	of	of	ADP
ejpam-1975	2	33	arts	art	NOUN
ejpam-1975	2	34	and	and	CCONJ
ejpam-1975	2	35	sciences	science	NOUN
ejpam-1975	2	36	,	,	PUNCT
ejpam-1975	2	37	nevşehir	nevşehir	PROPN
ejpam-1975	2	38	hacı	hacı	VERB
ejpam-1975	2	39	bektaş	bektaş	PROPN
ejpam-1975	2	40	veli	veli	PROPN
ejpam-1975	2	41	university	university	PROPN
ejpam-1975	2	42	,	,	PUNCT
ejpam-1975	2	43	50300	50300	NUM
ejpam-1975	2	44	nevşehir	nevşehir	NOUN
ejpam-1975	2	45	,	,	PUNCT
ejpam-1975	2	46	turkey	turkey	NOUN
ejpam-1975	2	47	abstract	abstract	NOUN
ejpam-1975	2	48	.	.	PUNCT
ejpam-1975	3	1	in	in	ADP
ejpam-1975	3	2	this	this	DET
ejpam-1975	3	3	work	work	NOUN
ejpam-1975	3	4	,	,	PUNCT
ejpam-1975	3	5	first	first	ADV
ejpam-1975	3	6	we	we	PRON
ejpam-1975	3	7	recall	recall	VERB
ejpam-1975	3	8	the	the	DET
ejpam-1975	3	9	concepts	concept	NOUN
ejpam-1975	3	10	of	of	ADP
ejpam-1975	3	11	soft	soft	ADJ
ejpam-1975	3	12	multiset	multiset	ADJ
ejpam-1975	3	13	and	and	CCONJ
ejpam-1975	3	14	soft	soft	ADJ
ejpam-1975	3	15	multi	multi	ADJ
ejpam-1975	3	16	topology	topology	NOUN
ejpam-1975	3	17	.	.	PUNCT
ejpam-1975	4	1	then	then	ADV
ejpam-1975	4	2	we	we	PRON
ejpam-1975	4	3	will	will	AUX
ejpam-1975	4	4	examine	examine	VERB
ejpam-1975	4	5	the	the	DET
ejpam-1975	4	6	concept	concept	NOUN
ejpam-1975	4	7	of	of	ADP
ejpam-1975	4	8	soft	soft	ADJ
ejpam-1975	4	9	multi	multi	ADJ
ejpam-1975	4	10	function	function	NOUN
ejpam-1975	4	11	which	which	PRON
ejpam-1975	4	12	is	be	AUX
ejpam-1975	4	13	defined	define	VERB
ejpam-1975	4	14	between	between	ADP
ejpam-1975	4	15	two	two	NUM
ejpam-1975	4	16	soft	soft	ADJ
ejpam-1975	4	17	multi	multi	ADJ
ejpam-1975	4	18	class	class	NOUN
ejpam-1975	4	19	.	.	PUNCT
ejpam-1975	5	1	finally	finally	ADV
ejpam-1975	5	2	we	we	PRON
ejpam-1975	5	3	will	will	AUX
ejpam-1975	5	4	introduce	introduce	VERB
ejpam-1975	5	5	soft	soft	ADJ
ejpam-1975	5	6	multi	multi	ADJ
ejpam-1975	5	7	compactness	compactness	NOUN
ejpam-1975	5	8	on	on	ADP
ejpam-1975	5	9	soft	soft	ADJ
ejpam-1975	5	10	multi	multi	ADJ
ejpam-1975	5	11	topological	topological	ADJ
ejpam-1975	5	12	space	space	NOUN
ejpam-1975	5	13	and	and	CCONJ
ejpam-1975	5	14	give	give	VERB
ejpam-1975	5	15	basic	basic	ADJ
ejpam-1975	5	16	definitions	definition	NOUN
ejpam-1975	5	17	and	and	CCONJ
ejpam-1975	5	18	theorems	theorem	NOUN
ejpam-1975	5	19	about	about	ADP
ejpam-1975	5	20	it	it	PRON
ejpam-1975	5	21	.	.	PUNCT
ejpam-1975	6	1	2010	2010	NUM
ejpam-1975	6	2	mathematics	mathematic	NOUN
ejpam-1975	6	3	subject	subject	NOUN
ejpam-1975	6	4	classifications	classification	NOUN
ejpam-1975	6	5	:	:	PUNCT
ejpam-1975	6	6	03e70	03e70	NUM
ejpam-1975	6	7	,	,	PUNCT
ejpam-1975	6	8	54a99	54a99	NUM
ejpam-1975	6	9	,	,	PUNCT
ejpam-1975	6	10	54d30	54d30	NOUN
ejpam-1975	6	11	.	.	PUNCT
ejpam-1975	7	1	key	key	ADJ
ejpam-1975	7	2	words	word	NOUN
ejpam-1975	7	3	and	and	CCONJ
ejpam-1975	7	4	phrases	phrase	NOUN
ejpam-1975	7	5	:	:	PUNCT
ejpam-1975	7	6	soft	soft	ADJ
ejpam-1975	7	7	multiset	multiset	VERB
ejpam-1975	7	8	,	,	PUNCT
ejpam-1975	7	9	soft	soft	ADJ
ejpam-1975	7	10	multi	multi	ADJ
ejpam-1975	7	11	function	function	NOUN
ejpam-1975	7	12	,	,	PUNCT
ejpam-1975	7	13	soft	soft	ADJ
ejpam-1975	7	14	multi	multi	NOUN
ejpam-1975	7	15	topology	topology	NOUN
ejpam-1975	7	16	,	,	PUNCT
ejpam-1975	7	17	soft	soft	ADJ
ejpam-1975	7	18	multi	multi	ADJ
ejpam-1975	7	19	compactness	compactness	NOUN
ejpam-1975	7	20	.	.	PUNCT
ejpam-1975	8	1	1	1	X
ejpam-1975	8	2	.	.	X
ejpam-1975	8	3	introduction	introduction	NOUN
ejpam-1975	8	4	classical	classical	ADJ
ejpam-1975	8	5	mathematical	mathematical	ADJ
ejpam-1975	8	6	methods	method	NOUN
ejpam-1975	8	7	are	be	AUX
ejpam-1975	8	8	not	not	PART
ejpam-1975	8	9	enough	enough	ADJ
ejpam-1975	8	10	to	to	PART
ejpam-1975	8	11	solve	solve	VERB
ejpam-1975	8	12	the	the	DET
ejpam-1975	8	13	problems	problem	NOUN
ejpam-1975	8	14	of	of	ADP
ejpam-1975	8	15	daily	daily	ADJ
ejpam-1975	8	16	life	life	NOUN
ejpam-1975	8	17	and	and	CCONJ
ejpam-1975	8	18	also	also	ADV
ejpam-1975	8	19	are	be	AUX
ejpam-1975	8	20	not	not	PART
ejpam-1975	8	21	enough	enough	ADJ
ejpam-1975	8	22	to	to	PART
ejpam-1975	8	23	meet	meet	VERB
ejpam-1975	8	24	the	the	DET
ejpam-1975	8	25	new	new	ADJ
ejpam-1975	8	26	requirements	requirement	NOUN
ejpam-1975	8	27	.	.	PUNCT
ejpam-1975	9	1	therefore	therefore	ADV
ejpam-1975	9	2	,	,	PUNCT
ejpam-1975	9	3	some	some	DET
ejpam-1975	9	4	theories	theory	NOUN
ejpam-1975	9	5	such	such	ADJ
ejpam-1975	9	6	as	as	ADP
ejpam-1975	9	7	fuzzy	fuzzy	ADJ
ejpam-1975	9	8	set	set	NOUN
ejpam-1975	9	9	theory	theory	NOUN
ejpam-1975	9	10	[	[	X
ejpam-1975	9	11	17	17	NUM
ejpam-1975	9	12	]	]	PUNCT
ejpam-1975	9	13	,	,	PUNCT
ejpam-1975	9	14	rough	rough	ADJ
ejpam-1975	9	15	set	set	NOUN
ejpam-1975	9	16	theory	theory	NOUN
ejpam-1975	9	17	[	[	X
ejpam-1975	9	18	9	9	NUM
ejpam-1975	9	19	]	]	PUNCT
ejpam-1975	9	20	,	,	PUNCT
ejpam-1975	9	21	soft	soft	ADJ
ejpam-1975	9	22	set	set	ADJ
ejpam-1975	9	23	theory	theory	NOUN
ejpam-1975	9	24	[	[	X
ejpam-1975	9	25	8	8	NUM
ejpam-1975	9	26	]	]	PUNCT
ejpam-1975	9	27	and	and	CCONJ
ejpam-1975	9	28	multiset	multiset	VERB
ejpam-1975	9	29	(	(	PUNCT
ejpam-1975	9	30	or	or	CCONJ
ejpam-1975	9	31	bag	bag	NOUN
ejpam-1975	9	32	)	)	PUNCT
ejpam-1975	9	33	theory	theory	NOUN
ejpam-1975	9	34	[	[	X
ejpam-1975	9	35	16	16	NUM
ejpam-1975	9	36	]	]	PUNCT
ejpam-1975	9	37	have	have	AUX
ejpam-1975	9	38	been	be	AUX
ejpam-1975	9	39	developed	develop	VERB
ejpam-1975	9	40	to	to	PART
ejpam-1975	9	41	solve	solve	VERB
ejpam-1975	9	42	these	these	DET
ejpam-1975	9	43	problems	problem	NOUN
ejpam-1975	9	44	.	.	PUNCT
ejpam-1975	10	1	applications	application	NOUN
ejpam-1975	10	2	of	of	ADP
ejpam-1975	10	3	these	these	DET
ejpam-1975	10	4	theories	theory	NOUN
ejpam-1975	10	5	have	have	AUX
ejpam-1975	10	6	been	be	AUX
ejpam-1975	10	7	many	many	ADJ
ejpam-1975	10	8	areas	area	NOUN
ejpam-1975	10	9	of	of	ADP
ejpam-1975	10	10	mathematics	mathematic	NOUN
ejpam-1975	10	11	.	.	PUNCT
ejpam-1975	11	1	shabir	shabir	PROPN
ejpam-1975	11	2	and	and	CCONJ
ejpam-1975	11	3	naz	naz	PROPN
ejpam-1975	12	1	[	[	X
ejpam-1975	12	2	11	11	NUM
ejpam-1975	12	3	]	]	PUNCT
ejpam-1975	12	4	defined	define	VERB
ejpam-1975	12	5	the	the	DET
ejpam-1975	12	6	soft	soft	ADJ
ejpam-1975	12	7	topological	topological	ADJ
ejpam-1975	12	8	space	space	NOUN
ejpam-1975	12	9	and	and	CCONJ
ejpam-1975	12	10	studied	study	VERB
ejpam-1975	12	11	the	the	DET
ejpam-1975	12	12	concepts	concept	NOUN
ejpam-1975	12	13	of	of	ADP
ejpam-1975	12	14	soft	soft	ADJ
ejpam-1975	12	15	open	open	ADJ
ejpam-1975	12	16	set	set	NOUN
ejpam-1975	12	17	,	,	PUNCT
ejpam-1975	12	18	soft	soft	ADJ
ejpam-1975	12	19	multi	multi	ADJ
ejpam-1975	12	20	interior	interior	ADJ
ejpam-1975	12	21	point	point	NOUN
ejpam-1975	12	22	,	,	PUNCT
ejpam-1975	12	23	soft	soft	ADJ
ejpam-1975	12	24	neighborhood	neighborhood	NOUN
ejpam-1975	12	25	of	of	ADP
ejpam-1975	12	26	a	a	DET
ejpam-1975	12	27	point	point	NOUN
ejpam-1975	12	28	,	,	PUNCT
ejpam-1975	12	29	soft	soft	ADJ
ejpam-1975	12	30	separation	separation	NOUN
ejpam-1975	12	31	axioms	axiom	NOUN
ejpam-1975	12	32	,	,	PUNCT
ejpam-1975	12	33	and	and	CCONJ
ejpam-1975	12	34	subspace	subspace	NOUN
ejpam-1975	12	35	of	of	ADP
ejpam-1975	12	36	a	a	DET
ejpam-1975	12	37	soft	soft	ADJ
ejpam-1975	12	38	topological	topological	ADJ
ejpam-1975	12	39	space	space	NOUN
ejpam-1975	12	40	.	.	PUNCT
ejpam-1975	13	1	aygunoglu	aygunoglu	PROPN
ejpam-1975	13	2	and	and	CCONJ
ejpam-1975	13	3	aygun	aygun	VERB
ejpam-1975	14	1	[	[	X
ejpam-1975	14	2	2	2	X
ejpam-1975	14	3	]	]	PUNCT
ejpam-1975	14	4	introduced	introduce	VERB
ejpam-1975	14	5	the	the	DET
ejpam-1975	14	6	soft	soft	ADJ
ejpam-1975	14	7	continuity	continuity	NOUN
ejpam-1975	14	8	of	of	ADP
ejpam-1975	14	9	soft	soft	ADJ
ejpam-1975	14	10	mapping	mapping	NOUN
ejpam-1975	14	11	,	,	PUNCT
ejpam-1975	14	12	soft	soft	ADJ
ejpam-1975	14	13	product	product	NOUN
ejpam-1975	14	14	topology	topology	NOUN
ejpam-1975	14	15	and	and	CCONJ
ejpam-1975	14	16	studied	study	VERB
ejpam-1975	14	17	soft	soft	ADJ
ejpam-1975	14	18	compactness	compactness	NOUN
ejpam-1975	14	19	and	and	CCONJ
ejpam-1975	14	20	generalized	generalized	ADJ
ejpam-1975	14	21	tychono	tychono	NOUN
ejpam-1975	14	22	theorem	theorem	VERB
ejpam-1975	14	23	to	to	ADP
ejpam-1975	14	24	the	the	DET
ejpam-1975	14	25	soft	soft	ADJ
ejpam-1975	14	26	topological	topological	ADJ
ejpam-1975	14	27	space	space	NOUN
ejpam-1975	14	28	.	.	PUNCT
ejpam-1975	15	1	min	min	NOUN
ejpam-1975	16	1	[	[	X
ejpam-1975	16	2	7	7	NUM
ejpam-1975	16	3	]	]	PUNCT
ejpam-1975	16	4	gave	give	VERB
ejpam-1975	16	5	some	some	DET
ejpam-1975	16	6	results	result	NOUN
ejpam-1975	16	7	on	on	ADP
ejpam-1975	16	8	soft	soft	ADJ
ejpam-1975	16	9	topological	topological	ADJ
ejpam-1975	16	10	spaces	space	NOUN
ejpam-1975	16	11	.	.	PUNCT
ejpam-1975	17	1	zorlutuna	zorlutuna	INTJ
ejpam-1975	17	2	et	et	PROPN
ejpam-1975	17	3	al	al	PROPN
ejpam-1975	17	4	.	.	PUNCT
ejpam-1975	18	1	[	[	X
ejpam-1975	18	2	18	18	NUM
ejpam-1975	18	3	]	]	PUNCT
ejpam-1975	18	4	also	also	ADV
ejpam-1975	18	5	investigated	investigate	VERB
ejpam-1975	18	6	soft	soft	ADJ
ejpam-1975	18	7	interior	interior	ADJ
ejpam-1975	18	8	point	point	NOUN
ejpam-1975	18	9	and	and	CCONJ
ejpam-1975	18	10	soft	soft	ADJ
ejpam-1975	18	11	neighborhood	neighborhood	NOUN
ejpam-1975	18	12	.	.	PUNCT
ejpam-1975	19	1	there	there	PRON
ejpam-1975	19	2	are	be	VERB
ejpam-1975	19	3	some	some	DET
ejpam-1975	19	4	other	other	ADJ
ejpam-1975	19	5	studies	study	NOUN
ejpam-1975	19	6	on	on	ADP
ejpam-1975	19	7	the	the	DET
ejpam-1975	19	8	structure	structure	NOUN
ejpam-1975	19	9	of	of	ADP
ejpam-1975	19	10	soft	soft	ADJ
ejpam-1975	19	11	topological	topological	ADJ
ejpam-1975	19	12	spaces	space	NOUN
ejpam-1975	19	13	[	[	X
ejpam-1975	19	14	3	3	NUM
ejpam-1975	19	15	,	,	PUNCT
ejpam-1975	19	16	15	15	NUM
ejpam-1975	19	17	]	]	PUNCT
ejpam-1975	19	18	.	.	PUNCT
ejpam-1975	20	1	maji	maji	PROPN
ejpam-1975	20	2	et	et	PROPN
ejpam-1975	20	3	al	al	PROPN
ejpam-1975	20	4	.	.	PUNCT
ejpam-1975	21	1	[	[	X
ejpam-1975	21	2	6	6	NUM
ejpam-1975	21	3	]	]	PUNCT
ejpam-1975	21	4	also	also	ADV
ejpam-1975	21	5	initiated	initiate	VERB
ejpam-1975	21	6	the	the	DET
ejpam-1975	21	7	more	more	ADV
ejpam-1975	21	8	generalized	generalized	ADJ
ejpam-1975	21	9	concept	concept	NOUN
ejpam-1975	21	10	of	of	ADP
ejpam-1975	21	11	fuzzy	fuzzy	ADJ
ejpam-1975	21	12	soft	soft	ADJ
ejpam-1975	21	13	sets	set	NOUN
ejpam-1975	21	14	which	which	PRON
ejpam-1975	21	15	is	be	AUX
ejpam-1975	21	16	a	a	DET
ejpam-1975	21	17	combination	combination	NOUN
ejpam-1975	21	18	of	of	ADP
ejpam-1975	21	19	fuzzy	fuzzy	ADJ
ejpam-1975	21	20	set	set	VERB
ejpam-1975	21	21	and	and	CCONJ
ejpam-1975	21	22	soft	soft	ADJ
ejpam-1975	21	23	set	set	NOUN
ejpam-1975	21	24	.	.	PUNCT
ejpam-1975	22	1	tanay	tanay	PROPN
ejpam-1975	22	2	and	and	CCONJ
ejpam-1975	22	3	kandemir	kandemir	VERB
ejpam-1975	22	4	introduced	introduce	VERB
ejpam-1975	22	5	topological	topological	ADJ
ejpam-1975	22	6	structure	structure	NOUN
ejpam-1975	22	7	of	of	ADP
ejpam-1975	22	8	fuzzy	fuzzy	ADJ
ejpam-1975	22	9	soft	soft	ADJ
ejpam-1975	22	10	set	set	NOUN
ejpam-1975	22	11	in	in	ADP
ejpam-1975	22	12	[	[	X
ejpam-1975	22	13	12	12	NUM
ejpam-1975	22	14	]	]	PUNCT
ejpam-1975	22	15	and	and	CCONJ
ejpam-1975	22	16	gave	give	VERB
ejpam-1975	22	17	a	a	DET
ejpam-1975	22	18	introductory	introductory	ADJ
ejpam-1975	22	19	theoretical	theoretical	ADJ
ejpam-1975	22	20	base	base	NOUN
ejpam-1975	22	21	to	to	PART
ejpam-1975	22	22	carry	carry	VERB
ejpam-1975	22	23	further	further	ADJ
ejpam-1975	22	24	study	study	NOUN
ejpam-1975	22	25	on	on	ADP
ejpam-1975	22	26	this	this	DET
ejpam-1975	22	27	concept	concept	NOUN
ejpam-1975	22	28	.	.	PUNCT
ejpam-1975	23	1	following	follow	VERB
ejpam-1975	23	2	this	this	DET
ejpam-1975	23	3	study	study	NOUN
ejpam-1975	23	4	,	,	PUNCT
ejpam-1975	23	5	some	some	DET
ejpam-1975	23	6	others	other	NOUN
ejpam-1975	24	1	[	[	X
ejpam-1975	24	2	1	1	NUM
ejpam-1975	24	3	,	,	PUNCT
ejpam-1975	24	4	5	5	NUM
ejpam-1975	24	5	,	,	PUNCT
ejpam-1975	24	6	10	10	NUM
ejpam-1975	24	7	,	,	PUNCT
ejpam-1975	24	8	14	14	NUM
ejpam-1975	24	9	]	]	PUNCT
ejpam-1975	24	10	studied	study	VERB
ejpam-1975	24	11	on	on	ADP
ejpam-1975	24	12	the	the	DET
ejpam-1975	24	13	concept	concept	NOUN
ejpam-1975	24	14	of	of	ADP
ejpam-1975	24	15	fuzzy	fuzzy	ADJ
ejpam-1975	24	16	soft	soft	ADJ
ejpam-1975	24	17	topological	topological	ADJ
ejpam-1975	24	18	spaces	space	NOUN
ejpam-1975	24	19	.	.	PUNCT
ejpam-1975	25	1	∗corresponding	∗corresponde	VERB
ejpam-1975	25	2	author	author	NOUN
ejpam-1975	25	3	.	.	PUNCT
ejpam-1975	26	1	email	email	NOUN
ejpam-1975	26	2	addresses	address	NOUN
ejpam-1975	26	3	:	:	PUNCT
ejpam-1975	26	4	ismailosmanoglu@yahoo.com	ismailosmanoglu@yahoo.com	X
ejpam-1975	26	5	(	(	PUNCT
ejpam-1975	26	6	̇i	̇i	ADJ
ejpam-1975	26	7	.	.	PUNCT
ejpam-1975	27	1	osmanoğlu	osmanoğlu	PROPN
ejpam-1975	27	2	)	)	PUNCT
ejpam-1975	27	3	,	,	PUNCT
ejpam-1975	27	4	dtokat@nevsehir.edu.tr	dtokat@nevsehir.edu.tr	X
ejpam-1975	27	5	(	(	PUNCT
ejpam-1975	27	6	d.	d.	PROPN
ejpam-1975	27	7	tokat	tokat	PROPN
ejpam-1975	27	8	)	)	PUNCT
ejpam-1975	27	9	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-1975	27	10	97	97	NUM
ejpam-1975	28	1	c	c	X
ejpam-1975	28	2	©	©	PROPN
ejpam-1975	28	3	2014	2014	NUM
ejpam-1975	28	4	ejpam	ejpam	NOUN
ejpam-1975	28	5	all	all	DET
ejpam-1975	28	6	rights	right	NOUN
ejpam-1975	28	7	reserved	reserve	VERB
ejpam-1975	28	8	.	.	PUNCT
ejpam-1975	29	1	i̇.	i̇.	PROPN
ejpam-1975	29	2	osmanoğlu	osmanoğlu	PROPN
ejpam-1975	29	3	,	,	PUNCT
ejpam-1975	29	4	d.	d.	PROPN
ejpam-1975	29	5	tokat	tokat	PROPN
ejpam-1975	29	6	/	/	SYM
ejpam-1975	29	7	eur	eur	PROPN
ejpam-1975	29	8	.	.	PUNCT
ejpam-1975	30	1	j.	j.	PROPN
ejpam-1975	30	2	pure	pure	PROPN
ejpam-1975	30	3	appl	appl	PROPN
ejpam-1975	30	4	.	.	PROPN
ejpam-1975	30	5	math	math	PROPN
ejpam-1975	30	6	,	,	PUNCT
ejpam-1975	30	7	7	7	NUM
ejpam-1975	30	8	(	(	PUNCT
ejpam-1975	30	9	2014	2014	NUM
ejpam-1975	30	10	)	)	PUNCT
ejpam-1975	30	11	,	,	PUNCT
ejpam-1975	30	12	97	97	NUM
ejpam-1975	30	13	-	-	SYM
ejpam-1975	30	14	108	108	NUM
ejpam-1975	30	15	98	98	NUM
ejpam-1975	30	16	the	the	DET
ejpam-1975	30	17	concept	concept	NOUN
ejpam-1975	30	18	of	of	ADP
ejpam-1975	30	19	soft	soft	ADJ
ejpam-1975	30	20	multisets	multiset	NOUN
ejpam-1975	30	21	which	which	PRON
ejpam-1975	30	22	is	be	AUX
ejpam-1975	30	23	combining	combine	VERB
ejpam-1975	30	24	soft	soft	ADJ
ejpam-1975	30	25	sets	set	NOUN
ejpam-1975	30	26	and	and	CCONJ
ejpam-1975	30	27	multisets	multiset	NOUN
ejpam-1975	30	28	can	can	AUX
ejpam-1975	30	29	be	be	AUX
ejpam-1975	30	30	used	use	VERB
ejpam-1975	30	31	to	to	PART
ejpam-1975	30	32	solve	solve	VERB
ejpam-1975	30	33	some	some	DET
ejpam-1975	30	34	real	real	ADJ
ejpam-1975	30	35	life	life	NOUN
ejpam-1975	30	36	problems	problem	NOUN
ejpam-1975	30	37	.	.	PUNCT
ejpam-1975	31	1	also	also	ADV
ejpam-1975	31	2	this	this	DET
ejpam-1975	31	3	concept	concept	NOUN
ejpam-1975	31	4	can	can	AUX
ejpam-1975	31	5	be	be	AUX
ejpam-1975	31	6	used	use	VERB
ejpam-1975	31	7	in	in	ADP
ejpam-1975	31	8	many	many	ADJ
ejpam-1975	31	9	areas	area	NOUN
ejpam-1975	31	10	,	,	PUNCT
ejpam-1975	31	11	such	such	ADJ
ejpam-1975	31	12	as	as	ADP
ejpam-1975	31	13	data	data	NOUN
ejpam-1975	31	14	storage	storage	NOUN
ejpam-1975	31	15	,	,	PUNCT
ejpam-1975	31	16	computer	computer	NOUN
ejpam-1975	31	17	science	science	NOUN
ejpam-1975	31	18	,	,	PUNCT
ejpam-1975	31	19	information	information	NOUN
ejpam-1975	31	20	science	science	NOUN
ejpam-1975	31	21	,	,	PUNCT
ejpam-1975	31	22	medicine	medicine	NOUN
ejpam-1975	31	23	,	,	PUNCT
ejpam-1975	31	24	engineering	engineering	NOUN
ejpam-1975	31	25	,	,	PUNCT
ejpam-1975	31	26	etc	etc	X
ejpam-1975	31	27	.	.	X
ejpam-1975	32	1	the	the	DET
ejpam-1975	32	2	concept	concept	NOUN
ejpam-1975	32	3	of	of	ADP
ejpam-1975	32	4	soft	soft	ADJ
ejpam-1975	32	5	multisets	multiset	NOUN
ejpam-1975	32	6	was	be	AUX
ejpam-1975	32	7	introduced	introduce	VERB
ejpam-1975	32	8	in	in	ADP
ejpam-1975	32	9	[	[	X
ejpam-1975	32	10	13	13	NUM
ejpam-1975	32	11	]	]	PUNCT
ejpam-1975	32	12	.	.	PUNCT
ejpam-1975	33	1	moreover	moreover	ADV
ejpam-1975	33	2	,	,	PUNCT
ejpam-1975	33	3	in	in	ADP
ejpam-1975	33	4	[	[	PUNCT
ejpam-1975	33	5	13	13	NUM
ejpam-1975	33	6	]	]	X
ejpam-1975	33	7	soft	soft	ADJ
ejpam-1975	33	8	multi	multi	ADJ
ejpam-1975	33	9	topology	topology	NOUN
ejpam-1975	33	10	and	and	CCONJ
ejpam-1975	33	11	its	its	PRON
ejpam-1975	33	12	some	some	DET
ejpam-1975	33	13	properties	property	NOUN
ejpam-1975	33	14	was	be	AUX
ejpam-1975	33	15	given	give	VERB
ejpam-1975	33	16	.	.	PUNCT
ejpam-1975	34	1	also	also	ADV
ejpam-1975	34	2	[	[	X
ejpam-1975	34	3	13	13	NUM
ejpam-1975	34	4	]	]	X
ejpam-1975	34	5	soft	soft	ADJ
ejpam-1975	34	6	multi	multi	ADJ
ejpam-1975	34	7	connectedness	connectedness	NOUN
ejpam-1975	34	8	was	be	AUX
ejpam-1975	34	9	given	give	VERB
ejpam-1975	34	10	.	.	PUNCT
ejpam-1975	35	1	in	in	ADP
ejpam-1975	35	2	this	this	DET
ejpam-1975	35	3	work	work	NOUN
ejpam-1975	35	4	we	we	PRON
ejpam-1975	35	5	will	will	AUX
ejpam-1975	35	6	defined	define	VERB
ejpam-1975	35	7	soft	soft	ADJ
ejpam-1975	35	8	multi	multi	ADJ
ejpam-1975	35	9	function	function	NOUN
ejpam-1975	35	10	between	between	ADP
ejpam-1975	35	11	two	two	NUM
ejpam-1975	35	12	soft	soft	ADJ
ejpam-1975	35	13	multiset	multiset	NOUN
ejpam-1975	35	14	.	.	PUNCT
ejpam-1975	36	1	after	after	SCONJ
ejpam-1975	36	2	we	we	PRON
ejpam-1975	36	3	will	will	AUX
ejpam-1975	36	4	introduce	introduce	VERB
ejpam-1975	36	5	soft	soft	ADJ
ejpam-1975	36	6	multi	multi	ADJ
ejpam-1975	36	7	compactness	compactness	NOUN
ejpam-1975	36	8	on	on	ADP
ejpam-1975	36	9	soft	soft	ADJ
ejpam-1975	36	10	multi	multi	ADJ
ejpam-1975	36	11	topological	topological	ADJ
ejpam-1975	36	12	space	space	NOUN
ejpam-1975	36	13	and	and	CCONJ
ejpam-1975	36	14	will	will	AUX
ejpam-1975	36	15	give	give	VERB
ejpam-1975	36	16	basic	basic	ADJ
ejpam-1975	36	17	definitions	definition	NOUN
ejpam-1975	36	18	and	and	CCONJ
ejpam-1975	36	19	theorems	theorem	NOUN
ejpam-1975	36	20	of	of	ADP
ejpam-1975	36	21	soft	soft	ADJ
ejpam-1975	36	22	multi	multi	ADJ
ejpam-1975	36	23	compactness	compactness	NOUN
ejpam-1975	36	24	.	.	PUNCT
ejpam-1975	37	1	2	2	X
ejpam-1975	37	2	.	.	NUM
ejpam-1975	37	3	preliminaries	preliminary	NOUN
ejpam-1975	37	4	2.1	2.1	NUM
ejpam-1975	37	5	.	.	PUNCT
ejpam-1975	37	6	soft	soft	ADJ
ejpam-1975	37	7	set	set	NOUN
ejpam-1975	37	8	,	,	PUNCT
ejpam-1975	37	9	multiset	multiset	ADJ
ejpam-1975	37	10	and	and	CCONJ
ejpam-1975	37	11	soft	soft	ADJ
ejpam-1975	37	12	multiset	multiset	NOUN
ejpam-1975	37	13	in	in	ADP
ejpam-1975	37	14	this	this	DET
ejpam-1975	37	15	section	section	NOUN
ejpam-1975	37	16	,	,	PUNCT
ejpam-1975	37	17	we	we	PRON
ejpam-1975	37	18	present	present	VERB
ejpam-1975	37	19	the	the	DET
ejpam-1975	37	20	basic	basic	ADJ
ejpam-1975	37	21	definitions	definition	NOUN
ejpam-1975	37	22	of	of	ADP
ejpam-1975	37	23	soft	soft	ADJ
ejpam-1975	37	24	set	set	NOUN
ejpam-1975	37	25	,	,	PUNCT
ejpam-1975	37	26	multiset	multiset	ADJ
ejpam-1975	37	27	and	and	CCONJ
ejpam-1975	37	28	soft	soft	ADJ
ejpam-1975	37	29	multiset	multiset	NOUN
ejpam-1975	37	30	which	which	PRON
ejpam-1975	37	31	may	may	AUX
ejpam-1975	37	32	be	be	AUX
ejpam-1975	37	33	found	find	VERB
ejpam-1975	37	34	in	in	ADP
ejpam-1975	37	35	earlier	early	ADJ
ejpam-1975	37	36	studies	study	NOUN
ejpam-1975	37	37	[	[	X
ejpam-1975	37	38	4	4	NUM
ejpam-1975	37	39	,	,	PUNCT
ejpam-1975	37	40	8	8	NUM
ejpam-1975	37	41	,	,	PUNCT
ejpam-1975	37	42	13	13	NUM
ejpam-1975	37	43	]	]	PUNCT
ejpam-1975	37	44	.	.	PUNCT
ejpam-1975	38	1	definition	definition	NOUN
ejpam-1975	38	2	1	1	NUM
ejpam-1975	38	3	(	(	PUNCT
ejpam-1975	38	4	soft	soft	ADJ
ejpam-1975	38	5	set	set	NOUN
ejpam-1975	38	6	)	)	PUNCT
ejpam-1975	38	7	.	.	PUNCT
ejpam-1975	39	1	let	let	VERB
ejpam-1975	39	2	u	u	PRON
ejpam-1975	39	3	be	be	AUX
ejpam-1975	39	4	an	an	DET
ejpam-1975	39	5	initial	initial	ADJ
ejpam-1975	39	6	universe	universe	NOUN
ejpam-1975	39	7	set	set	VERB
ejpam-1975	39	8	and	and	CCONJ
ejpam-1975	39	9	e	e	NOUN
ejpam-1975	39	10	be	be	AUX
ejpam-1975	39	11	set	set	VERB
ejpam-1975	39	12	of	of	ADP
ejpam-1975	39	13	parameters	parameter	NOUN
ejpam-1975	39	14	.	.	PUNCT
ejpam-1975	40	1	let	let	VERB
ejpam-1975	40	2	p	p	NOUN
ejpam-1975	40	3	(	(	PUNCT
ejpam-1975	40	4	u	u	NOUN
ejpam-1975	40	5	)	)	PUNCT
ejpam-1975	40	6	denotes	denote	VERB
ejpam-1975	40	7	the	the	DET
ejpam-1975	40	8	power	power	NOUN
ejpam-1975	40	9	set	set	NOUN
ejpam-1975	40	10	of	of	ADP
ejpam-1975	40	11	u	u	PROPN
ejpam-1975	40	12	and	and	CCONJ
ejpam-1975	40	13	a	a	DET
ejpam-1975	40	14	⊆	⊆	NUM
ejpam-1975	40	15	u.	u.	NOUN
ejpam-1975	40	16	a	a	DET
ejpam-1975	40	17	pair	pair	NOUN
ejpam-1975	40	18	(	(	PUNCT
ejpam-1975	40	19	f	f	X
ejpam-1975	40	20	,	,	PUNCT
ejpam-1975	40	21	a	a	PRON
ejpam-1975	40	22	)	)	PUNCT
ejpam-1975	40	23	is	be	AUX
ejpam-1975	40	24	called	call	VERB
ejpam-1975	40	25	a	a	DET
ejpam-1975	40	26	soft	soft	ADJ
ejpam-1975	40	27	set	set	NOUN
ejpam-1975	40	28	over	over	ADP
ejpam-1975	40	29	u	u	NOUN
ejpam-1975	40	30	,	,	PUNCT
ejpam-1975	40	31	where	where	SCONJ
ejpam-1975	40	32	f	f	PROPN
ejpam-1975	40	33	is	be	AUX
ejpam-1975	40	34	a	a	DET
ejpam-1975	40	35	mapping	mapping	NOUN
ejpam-1975	40	36	given	give	VERB
ejpam-1975	40	37	by	by	ADP
ejpam-1975	40	38	f	f	PROPN
ejpam-1975	40	39	:	:	PUNCT
ejpam-1975	40	40	a→	a→	X
ejpam-1975	40	41	p(u	p(u	NOUN
ejpam-1975	40	42	)	)	PUNCT
ejpam-1975	40	43	.	.	PUNCT
ejpam-1975	41	1	definition	definition	NOUN
ejpam-1975	41	2	2	2	NUM
ejpam-1975	41	3	(	(	PUNCT
ejpam-1975	41	4	multiset	multiset	NOUN
ejpam-1975	41	5	)	)	PUNCT
ejpam-1975	41	6	.	.	PUNCT
ejpam-1975	42	1	an	an	DET
ejpam-1975	42	2	mset	mset	NOUN
ejpam-1975	42	3	m	m	AUX
ejpam-1975	42	4	drawn	draw	VERB
ejpam-1975	42	5	from	from	ADP
ejpam-1975	42	6	the	the	DET
ejpam-1975	42	7	set	set	NOUN
ejpam-1975	42	8	x	x	PUNCT
ejpam-1975	42	9	is	be	AUX
ejpam-1975	42	10	represented	represent	VERB
ejpam-1975	42	11	by	by	ADP
ejpam-1975	42	12	a	a	DET
ejpam-1975	42	13	function	function	NOUN
ejpam-1975	42	14	count	count	NOUN
ejpam-1975	42	15	m	m	VERB
ejpam-1975	42	16	or	or	CCONJ
ejpam-1975	42	17	cm	cm	NOUN
ejpam-1975	42	18	defined	define	VERB
ejpam-1975	42	19	as	as	ADP
ejpam-1975	42	20	cm	cm	NOUN
ejpam-1975	42	21	:	:	PUNCT
ejpam-1975	42	22	x	x	X
ejpam-1975	42	23	→	→	PUNCT
ejpam-1975	42	24	n	n	CCONJ
ejpam-1975	42	25	where	where	SCONJ
ejpam-1975	42	26	n	n	PRON
ejpam-1975	42	27	represented	represent	VERB
ejpam-1975	42	28	the	the	DET
ejpam-1975	42	29	set	set	NOUN
ejpam-1975	42	30	of	of	ADP
ejpam-1975	42	31	non	non	ADJ
ejpam-1975	42	32	negative	negative	ADJ
ejpam-1975	42	33	integers	integer	NOUN
ejpam-1975	42	34	.	.	PUNCT
ejpam-1975	43	1	the	the	DET
ejpam-1975	43	2	word	word	NOUN
ejpam-1975	43	3	“	"	PUNCT
ejpam-1975	43	4	multiset	multiset	VERB
ejpam-1975	43	5	”	"	PUNCT
ejpam-1975	43	6	is	be	AUX
ejpam-1975	43	7	often	often	ADV
ejpam-1975	43	8	shortened	shorten	VERB
ejpam-1975	43	9	to	to	ADP
ejpam-1975	43	10	“	"	PUNCT
ejpam-1975	43	11	mset	mset	PROPN
ejpam-1975	43	12	”	"	PUNCT
ejpam-1975	43	13	.	.	PUNCT
ejpam-1975	44	1	let	let	VERB
ejpam-1975	44	2	m	m	PRON
ejpam-1975	44	3	be	be	AUX
ejpam-1975	44	4	an	an	DET
ejpam-1975	44	5	mset	mset	NOUN
ejpam-1975	44	6	from	from	ADP
ejpam-1975	44	7	x	x	PUNCT
ejpam-1975	44	8	with	with	ADP
ejpam-1975	44	9	x	x	PUNCT
ejpam-1975	44	10	appearing	appear	VERB
ejpam-1975	45	1	n	n	DET
ejpam-1975	45	2	times	time	NOUN
ejpam-1975	45	3	in	in	ADP
ejpam-1975	45	4	m	m	PROPN
ejpam-1975	46	1	.	.	PUNCT
ejpam-1975	47	1	it	it	PRON
ejpam-1975	47	2	is	be	AUX
ejpam-1975	47	3	denoted	denote	VERB
ejpam-1975	47	4	by	by	ADP
ejpam-1975	47	5	x	x	SYM
ejpam-1975	47	6	∈n	∈n	NOUN
ejpam-1975	47	7	m	m	VERB
ejpam-1975	47	8	.	.	PUNCT
ejpam-1975	48	1	m	m	VERB
ejpam-1975	48	2	=	=	SYM
ejpam-1975	48	3	{	{	PUNCT
ejpam-1975	48	4	k1	k1	PROPN
ejpam-1975	48	5	/	/	SYM
ejpam-1975	48	6	x1	x1	PROPN
ejpam-1975	48	7	,	,	PUNCT
ejpam-1975	48	8	k2	k2	PROPN
ejpam-1975	48	9	/	/	SYM
ejpam-1975	48	10	x2	x2	PROPN
ejpam-1975	48	11	,	,	PUNCT
ejpam-1975	48	12	.	.	PUNCT
ejpam-1975	48	13	.	.	PUNCT
ejpam-1975	48	14	.	.	PUNCT
ejpam-1975	49	1	,	,	PUNCT
ejpam-1975	49	2	kn	kn	PROPN
ejpam-1975	49	3	/	/	SYM
ejpam-1975	49	4	xn	xn	PROPN
ejpam-1975	49	5	}	}	PUNCT
ejpam-1975	49	6	where	where	SCONJ
ejpam-1975	49	7	m	m	NOUN
ejpam-1975	49	8	is	be	AUX
ejpam-1975	49	9	an	an	DET
ejpam-1975	49	10	mset	mset	NOUN
ejpam-1975	49	11	with	with	ADP
ejpam-1975	49	12	x1	x1	PROPN
ejpam-1975	49	13	appearing	appear	VERB
ejpam-1975	49	14	k1	k1	PROPN
ejpam-1975	49	15	times	time	NOUN
ejpam-1975	49	16	,	,	PUNCT
ejpam-1975	49	17	x2	x2	PROPN
ejpam-1975	49	18	appearing	appear	VERB
ejpam-1975	49	19	k2	k2	PROPN
ejpam-1975	49	20	times	time	NOUN
ejpam-1975	49	21	and	and	CCONJ
ejpam-1975	49	22	so	so	ADV
ejpam-1975	49	23	on	on	ADV
ejpam-1975	49	24	.	.	PUNCT
ejpam-1975	50	1	definition	definition	NOUN
ejpam-1975	50	2	3	3	NUM
ejpam-1975	50	3	.	.	PUNCT
ejpam-1975	51	1	let	let	VERB
ejpam-1975	51	2	m	m	PRON
ejpam-1975	51	3	be	be	AUX
ejpam-1975	51	4	an	an	DET
ejpam-1975	51	5	mset	mset	NOUN
ejpam-1975	51	6	drawn	draw	VERB
ejpam-1975	51	7	from	from	ADP
ejpam-1975	51	8	a	a	DET
ejpam-1975	51	9	set	set	NOUN
ejpam-1975	51	10	x	x	NOUN
ejpam-1975	51	11	.	.	PUNCT
ejpam-1975	52	1	the	the	DET
ejpam-1975	52	2	support	support	NOUN
ejpam-1975	52	3	set	set	NOUN
ejpam-1975	52	4	of	of	ADP
ejpam-1975	52	5	m	m	PRON
ejpam-1975	52	6	denoted	denote	VERB
ejpam-1975	52	7	by	by	ADP
ejpam-1975	52	8	m∗	m∗	NOUN
ejpam-1975	52	9	is	be	AUX
ejpam-1975	52	10	a	a	DET
ejpam-1975	52	11	subset	subset	NOUN
ejpam-1975	52	12	of	of	ADP
ejpam-1975	52	13	x	x	X
ejpam-1975	52	14	and	and	CCONJ
ejpam-1975	52	15	m∗	m∗	NOUN
ejpam-1975	52	16	=	=	SYM
ejpam-1975	52	17	{	{	PUNCT
ejpam-1975	52	18	x	x	SYM
ejpam-1975	52	19	∈	∈	PROPN
ejpam-1975	52	20	x	x	X
ejpam-1975	52	21	:	:	PUNCT
ejpam-1975	52	22	cm	cm	NOUN
ejpam-1975	52	23	(	(	PUNCT
ejpam-1975	52	24	x	x	X
ejpam-1975	52	25	)	)	PUNCT
ejpam-1975	52	26	>	>	X
ejpam-1975	52	27	0	0	NUM
ejpam-1975	52	28	}	}	PUNCT
ejpam-1975	52	29	.	.	PUNCT
ejpam-1975	53	1	i.e.	i.e.	X
ejpam-1975	53	2	,	,	PUNCT
ejpam-1975	53	3	m∗	m∗	PROPN
ejpam-1975	53	4	is	be	AUX
ejpam-1975	53	5	an	an	DET
ejpam-1975	53	6	ordinary	ordinary	ADJ
ejpam-1975	53	7	set	set	NOUN
ejpam-1975	53	8	and	and	CCONJ
ejpam-1975	53	9	it	it	PRON
ejpam-1975	53	10	is	be	AUX
ejpam-1975	53	11	also	also	ADV
ejpam-1975	53	12	called	call	VERB
ejpam-1975	53	13	root	root	NOUN
ejpam-1975	53	14	set	set	NOUN
ejpam-1975	53	15	.	.	PUNCT
ejpam-1975	54	1	the	the	DET
ejpam-1975	54	2	power	power	NOUN
ejpam-1975	54	3	set	set	NOUN
ejpam-1975	54	4	of	of	ADP
ejpam-1975	54	5	an	an	DET
ejpam-1975	54	6	mset	mset	NOUN
ejpam-1975	54	7	is	be	AUX
ejpam-1975	54	8	the	the	DET
ejpam-1975	54	9	support	support	NOUN
ejpam-1975	54	10	set	set	NOUN
ejpam-1975	54	11	of	of	ADP
ejpam-1975	54	12	the	the	DET
ejpam-1975	54	13	power	power	NOUN
ejpam-1975	54	14	mset	mset	VERB
ejpam-1975	54	15	and	and	CCONJ
ejpam-1975	54	16	is	be	AUX
ejpam-1975	54	17	denoted	denote	VERB
ejpam-1975	54	18	by	by	ADP
ejpam-1975	54	19	p∗	p∗	PROPN
ejpam-1975	54	20	(	(	PUNCT
ejpam-1975	54	21	m	m	NOUN
ejpam-1975	54	22	)	)	PUNCT
ejpam-1975	54	23	.	.	PUNCT
ejpam-1975	55	1	example	example	NOUN
ejpam-1975	56	1	1	1	NUM
ejpam-1975	56	2	.	.	PUNCT
ejpam-1975	56	3	let	let	VERB
ejpam-1975	56	4	m	m	VERB
ejpam-1975	56	5	=	=	VERB
ejpam-1975	56	6	�	�	PROPN
ejpam-1975	56	7	2	2	NUM
ejpam-1975	56	8	/	/	SYM
ejpam-1975	56	9	x	x	PROPN
ejpam-1975	56	10	,	,	PUNCT
ejpam-1975	56	11	3	3	X
ejpam-1975	56	12	/	/	SYM
ejpam-1975	56	13	y	y	PROPN
ejpam-1975	56	14	be	be	AUX
ejpam-1975	56	15	an	an	DET
ejpam-1975	56	16	mset	mset	NOUN
ejpam-1975	56	17	.	.	PUNCT
ejpam-1975	57	1	then	then	ADV
ejpam-1975	57	2	m∗	m∗	VERB
ejpam-1975	57	3	=	=	SYM
ejpam-1975	57	4	�	�	PROPN
ejpam-1975	57	5	x	x	SYM
ejpam-1975	57	6	,	,	PUNCT
ejpam-1975	57	7	y	y	PROPN
ejpam-1975	57	8	is	be	AUX
ejpam-1975	57	9	the	the	DET
ejpam-1975	57	10	support	support	NOUN
ejpam-1975	57	11	set	set	NOUN
ejpam-1975	57	12	of	of	ADP
ejpam-1975	57	13	m	m	PRON
ejpam-1975	57	14	and	and	CCONJ
ejpam-1975	57	15	p∗	p∗	ADJ
ejpam-1975	57	16	(	(	PUNCT
ejpam-1975	57	17	m	m	NOUN
ejpam-1975	57	18	)	)	PUNCT
ejpam-1975	57	19	=	=	SYM
ejpam-1975	57	20	�	�	PROPN
ejpam-1975	57	21	�	�	PROPN
ejpam-1975	57	22	2	2	NUM
ejpam-1975	57	23	/	/	SYM
ejpam-1975	57	24	x	x	SYM
ejpam-1975	57	25	,	,	PUNCT
ejpam-1975	57	26	1	1	X
ejpam-1975	57	27	/	/	SYM
ejpam-1975	57	28	y	y	PROPN
ejpam-1975	57	29	,	,	PUNCT
ejpam-1975	57	30	�	�	PROPN
ejpam-1975	57	31	2	2	NUM
ejpam-1975	57	32	/	/	SYM
ejpam-1975	57	33	x	x	NOUN
ejpam-1975	57	34	,	,	PUNCT
ejpam-1975	57	35	2	2	NUM
ejpam-1975	57	36	/	/	SYM
ejpam-1975	57	37	y	y	PROPN
ejpam-1975	57	38	,	,	PUNCT
ejpam-1975	57	39	�	�	PROPN
ejpam-1975	57	40	1	1	NUM
ejpam-1975	57	41	/	/	SYM
ejpam-1975	57	42	x	x	SYM
ejpam-1975	57	43	,	,	PUNCT
ejpam-1975	57	44	1	1	X
ejpam-1975	57	45	/	/	SYM
ejpam-1975	57	46	y	y	PROPN
ejpam-1975	57	47	,	,	PUNCT
ejpam-1975	57	48	{	{	PUNCT
ejpam-1975	57	49	1	1	NUM
ejpam-1975	57	50	/	/	SYM
ejpam-1975	57	51	x	x	SYM
ejpam-1975	57	52	,	,	PUNCT
ejpam-1975	57	53	2	2	NUM
ejpam-1975	57	54	/	/	SYM
ejpam-1975	57	55	y	y	NOUN
ejpam-1975	57	56	}	}	PUNCT
ejpam-1975	57	57	,	,	PUNCT
ejpam-1975	57	58	�	�	PROPN
ejpam-1975	57	59	1	1	NUM
ejpam-1975	57	60	/	/	SYM
ejpam-1975	57	61	x	x	PROPN
ejpam-1975	57	62	,	,	PUNCT
ejpam-1975	57	63	3	3	X
ejpam-1975	57	64	/	/	SYM
ejpam-1975	57	65	y	y	PROPN
ejpam-1975	57	66	,	,	PUNCT
ejpam-1975	57	67	{	{	PUNCT
ejpam-1975	57	68	2	2	NUM
ejpam-1975	57	69	/	/	SYM
ejpam-1975	57	70	x	x	NOUN
ejpam-1975	57	71	}	}	PUNCT
ejpam-1975	57	72	,	,	PUNCT
ejpam-1975	57	73	{	{	PUNCT
ejpam-1975	57	74	1	1	NUM
ejpam-1975	57	75	/	/	SYM
ejpam-1975	57	76	x	x	NOUN
ejpam-1975	57	77	}	}	PUNCT
ejpam-1975	57	78	,	,	PUNCT
ejpam-1975	57	79	�	�	PROPN
ejpam-1975	57	80	3	3	NUM
ejpam-1975	57	81	/	/	SYM
ejpam-1975	57	82	y	y	PROPN
ejpam-1975	57	83	,	,	PUNCT
ejpam-1975	57	84	�	�	PROPN
ejpam-1975	57	85	2	2	NUM
ejpam-1975	57	86	/	/	SYM
ejpam-1975	57	87	y	y	PROPN
ejpam-1975	57	88	,	,	PUNCT
ejpam-1975	57	89	�	�	PROPN
ejpam-1975	57	90	1	1	NUM
ejpam-1975	57	91	/	/	SYM
ejpam-1975	57	92	y	y	PROPN
ejpam-1975	57	93	is	be	AUX
ejpam-1975	57	94	the	the	DET
ejpam-1975	57	95	support	support	NOUN
ejpam-1975	57	96	set	set	NOUN
ejpam-1975	57	97	of	of	ADP
ejpam-1975	57	98	p	p	PROPN
ejpam-1975	57	99	(	(	PUNCT
ejpam-1975	57	100	m	m	NOUN
ejpam-1975	57	101	)	)	PUNCT
ejpam-1975	57	102	.	.	PUNCT
ejpam-1975	58	1	definition	definition	NOUN
ejpam-1975	58	2	4	4	NUM
ejpam-1975	58	3	(	(	PUNCT
ejpam-1975	58	4	soft	soft	ADJ
ejpam-1975	58	5	multiset	multiset	NOUN
ejpam-1975	58	6	)	)	PUNCT
ejpam-1975	58	7	.	.	PUNCT
ejpam-1975	59	1	let	let	VERB
ejpam-1975	59	2	u	u	PRON
ejpam-1975	59	3	be	be	AUX
ejpam-1975	59	4	an	an	DET
ejpam-1975	59	5	universal	universal	ADJ
ejpam-1975	59	6	multiset	multiset	NOUN
ejpam-1975	59	7	,	,	PUNCT
ejpam-1975	59	8	e	e	X
ejpam-1975	59	9	be	be	AUX
ejpam-1975	59	10	set	set	VERB
ejpam-1975	59	11	of	of	ADP
ejpam-1975	59	12	parameters	parameter	NOUN
ejpam-1975	59	13	and	and	CCONJ
ejpam-1975	59	14	a⊆	a⊆	PROPN
ejpam-1975	59	15	e.	e.	PROPN
ejpam-1975	59	16	then	then	ADV
ejpam-1975	59	17	a	a	DET
ejpam-1975	59	18	pair	pair	NOUN
ejpam-1975	59	19	(	(	PUNCT
ejpam-1975	59	20	f	f	X
ejpam-1975	59	21	,	,	PUNCT
ejpam-1975	59	22	a	a	PRON
ejpam-1975	59	23	)	)	PUNCT
ejpam-1975	59	24	is	be	AUX
ejpam-1975	59	25	called	call	VERB
ejpam-1975	59	26	a	a	DET
ejpam-1975	59	27	soft	soft	ADJ
ejpam-1975	59	28	multiset	multiset	NOUN
ejpam-1975	59	29	where	where	SCONJ
ejpam-1975	59	30	f	f	PROPN
ejpam-1975	59	31	is	be	AUX
ejpam-1975	59	32	a	a	DET
ejpam-1975	59	33	mapping	mapping	NOUN
ejpam-1975	59	34	given	give	VERB
ejpam-1975	59	35	by	by	ADP
ejpam-1975	59	36	f	f	PROPN
ejpam-1975	59	37	:	:	PUNCT
ejpam-1975	59	38	a→	a→	PUNCT
ejpam-1975	59	39	p∗	p∗	PROPN
ejpam-1975	59	40	(	(	PUNCT
ejpam-1975	59	41	u	u	NOUN
ejpam-1975	59	42	)	)	PUNCT
ejpam-1975	59	43	.	.	PUNCT
ejpam-1975	60	1	for	for	ADP
ejpam-1975	60	2	∀e	∀e	PROPN
ejpam-1975	60	3	∈	∈	PROPN
ejpam-1975	60	4	a	a	PRON
ejpam-1975	60	5	,	,	PUNCT
ejpam-1975	60	6	multiset	multiset	ADJ
ejpam-1975	60	7	f	f	X
ejpam-1975	60	8	(	(	PUNCT
ejpam-1975	60	9	e	e	NOUN
ejpam-1975	60	10	)	)	PUNCT
ejpam-1975	60	11	represent	represent	VERB
ejpam-1975	60	12	by	by	ADP
ejpam-1975	60	13	count	count	NOUN
ejpam-1975	60	14	function	function	NOUN
ejpam-1975	60	15	cf(e	cf(e	PUNCT
ejpam-1975	60	16	)	)	PUNCT
ejpam-1975	60	17	:	:	PUNCT
ejpam-1975	61	1	u∗	u∗	ADJ
ejpam-1975	61	2	→	→	SYM
ejpam-1975	61	3	n	n	CCONJ
ejpam-1975	61	4	where	where	SCONJ
ejpam-1975	61	5	n	n	PRON
ejpam-1975	61	6	represents	represent	VERB
ejpam-1975	61	7	the	the	DET
ejpam-1975	61	8	set	set	NOUN
ejpam-1975	61	9	of	of	ADP
ejpam-1975	61	10	non	non	ADJ
ejpam-1975	61	11	negative	negative	ADJ
ejpam-1975	61	12	integers	integer	NOUN
ejpam-1975	61	13	.	.	PUNCT
ejpam-1975	62	1	i̇.	i̇.	PROPN
ejpam-1975	62	2	osmanoğlu	osmanoğlu	PROPN
ejpam-1975	62	3	,	,	PUNCT
ejpam-1975	62	4	d.	d.	PROPN
ejpam-1975	62	5	tokat	tokat	PROPN
ejpam-1975	62	6	/	/	SYM
ejpam-1975	62	7	eur	eur	PROPN
ejpam-1975	62	8	.	.	PUNCT
ejpam-1975	63	1	j.	j.	PROPN
ejpam-1975	63	2	pure	pure	PROPN
ejpam-1975	63	3	appl	appl	PROPN
ejpam-1975	63	4	.	.	PROPN
ejpam-1975	63	5	math	math	PROPN
ejpam-1975	63	6	,	,	PUNCT
ejpam-1975	63	7	7	7	NUM
ejpam-1975	63	8	(	(	PUNCT
ejpam-1975	63	9	2014	2014	NUM
ejpam-1975	63	10	)	)	PUNCT
ejpam-1975	63	11	,	,	PUNCT
ejpam-1975	63	12	97	97	NUM
ejpam-1975	63	13	-	-	SYM
ejpam-1975	63	14	108	108	NUM
ejpam-1975	63	15	99	99	NUM
ejpam-1975	63	16	example	example	NOUN
ejpam-1975	63	17	2	2	NUM
ejpam-1975	63	18	.	.	PUNCT
ejpam-1975	64	1	let	let	VERB
ejpam-1975	64	2	multiset	multiset	NOUN
ejpam-1975	64	3	and	and	CCONJ
ejpam-1975	64	4	the	the	DET
ejpam-1975	64	5	parameter	parameter	NOUN
ejpam-1975	64	6	set	set	NOUN
ejpam-1975	64	7	be	be	AUX
ejpam-1975	64	8	u	u	NOUN
ejpam-1975	64	9	=	=	PUNCT
ejpam-1975	64	10	{	{	PUNCT
ejpam-1975	64	11	1	1	NUM
ejpam-1975	64	12	/	/	SYM
ejpam-1975	64	13	x	x	SYM
ejpam-1975	64	14	,	,	PUNCT
ejpam-1975	64	15	5	5	NUM
ejpam-1975	64	16	/	/	SYM
ejpam-1975	64	17	y	y	PROPN
ejpam-1975	64	18	,	,	PUNCT
ejpam-1975	64	19	3	3	NUM
ejpam-1975	64	20	/	/	SYM
ejpam-1975	64	21	z	z	NOUN
ejpam-1975	64	22	,	,	PUNCT
ejpam-1975	64	23	4	4	NUM
ejpam-1975	64	24	/	/	SYM
ejpam-1975	64	25	w	w	NOUN
ejpam-1975	64	26	}	}	PUNCT
ejpam-1975	64	27	and	and	CCONJ
ejpam-1975	64	28	e	e	X
ejpam-1975	64	29	=	=	PUNCT
ejpam-1975	64	30	�	�	PROPN
ejpam-1975	64	31	p	p	PROPN
ejpam-1975	64	32	,	,	PUNCT
ejpam-1975	64	33	q	q	ADJ
ejpam-1975	64	34	,	,	PUNCT
ejpam-1975	64	35	r	r	NOUN
ejpam-1975	64	36	.	.	PUNCT
ejpam-1975	65	1	define	define	VERB
ejpam-1975	65	2	a	a	DET
ejpam-1975	65	3	mapping	mapping	NOUN
ejpam-1975	65	4	f	f	NOUN
ejpam-1975	65	5	:	:	PUNCT
ejpam-1975	65	6	e→	e→	PROPN
ejpam-1975	65	7	p∗	p∗	PROPN
ejpam-1975	65	8	(	(	PUNCT
ejpam-1975	65	9	u	u	NOUN
ejpam-1975	65	10	)	)	PUNCT
ejpam-1975	65	11	as	as	SCONJ
ejpam-1975	65	12	follows	follow	VERB
ejpam-1975	65	13	:	:	PUNCT
ejpam-1975	65	14	f	f	PROPN
ejpam-1975	65	15	�	�	PROPN
ejpam-1975	65	16	p	p	PROPN
ejpam-1975	65	17	�	�	PROPN
ejpam-1975	65	18	=	=	SYM
ejpam-1975	65	19	�	�	PROPN
ejpam-1975	65	20	1	1	NUM
ejpam-1975	65	21	/	/	SYM
ejpam-1975	65	22	x	x	SYM
ejpam-1975	65	23	,	,	PUNCT
ejpam-1975	65	24	2	2	NUM
ejpam-1975	65	25	/	/	SYM
ejpam-1975	65	26	y	y	PROPN
ejpam-1975	65	27	,	,	PUNCT
ejpam-1975	65	28	3	3	NUM
ejpam-1975	65	29	/	/	SYM
ejpam-1975	65	30	z	z	NOUN
ejpam-1975	65	31	,	,	PUNCT
ejpam-1975	65	32	f	f	PROPN
ejpam-1975	65	33	�	�	PROPN
ejpam-1975	65	34	q	q	PROPN
ejpam-1975	65	35	�	�	PROPN
ejpam-1975	65	36	=	=	SYM
ejpam-1975	65	37	{	{	PUNCT
ejpam-1975	65	38	4	4	NUM
ejpam-1975	65	39	/	/	SYM
ejpam-1975	65	40	w	w	NOUN
ejpam-1975	65	41	}	}	PUNCT
ejpam-1975	65	42	and	and	CCONJ
ejpam-1975	65	43	f	f	PROPN
ejpam-1975	65	44	(	(	PUNCT
ejpam-1975	65	45	r	r	NOUN
ejpam-1975	65	46	)	)	PUNCT
ejpam-1975	65	47	=	=	SYM
ejpam-1975	65	48	�	�	PROPN
ejpam-1975	65	49	3	3	NUM
ejpam-1975	65	50	/	/	SYM
ejpam-1975	65	51	y	y	PROPN
ejpam-1975	65	52	,	,	PUNCT
ejpam-1975	65	53	1	1	NUM
ejpam-1975	65	54	/	/	SYM
ejpam-1975	65	55	z	z	NOUN
ejpam-1975	65	56	,	,	PUNCT
ejpam-1975	65	57	2	2	NUM
ejpam-1975	65	58	/	/	SYM
ejpam-1975	65	59	w	w	NOUN
ejpam-1975	65	60	.	.	PUNCT
ejpam-1975	66	1	then	then	ADV
ejpam-1975	66	2	(	(	PUNCT
ejpam-1975	66	3	f	f	X
ejpam-1975	66	4	,	,	PUNCT
ejpam-1975	66	5	a	a	PRON
ejpam-1975	66	6	)	)	PUNCT
ejpam-1975	66	7	is	be	AUX
ejpam-1975	66	8	a	a	DET
ejpam-1975	66	9	soft	soft	ADJ
ejpam-1975	66	10	multiset	multiset	NOUN
ejpam-1975	66	11	where	where	SCONJ
ejpam-1975	66	12	for	for	ADP
ejpam-1975	66	13	∀e	∀e	PROPN
ejpam-1975	66	14	∈	∈	PROPN
ejpam-1975	66	15	a	a	X
ejpam-1975	66	16	,	,	PUNCT
ejpam-1975	66	17	f	f	PROPN
ejpam-1975	66	18	(	(	PUNCT
ejpam-1975	66	19	e	e	NOUN
ejpam-1975	66	20	)	)	PUNCT
ejpam-1975	66	21	multiset	multiset	VERB
ejpam-1975	66	22	represent	represent	NOUN
ejpam-1975	66	23	by	by	ADP
ejpam-1975	66	24	count	count	NOUN
ejpam-1975	66	25	function	function	NOUN
ejpam-1975	66	26	cf(e	cf(e	PUNCT
ejpam-1975	66	27	)	)	PUNCT
ejpam-1975	66	28	:	:	PUNCT
ejpam-1975	66	29	u∗→	u∗→	PROPN
ejpam-1975	66	30	n	n	CCONJ
ejpam-1975	66	31	,	,	PUNCT
ejpam-1975	66	32	which	which	PRON
ejpam-1975	66	33	are	be	AUX
ejpam-1975	66	34	defined	define	VERB
ejpam-1975	66	35	as	as	ADP
ejpam-1975	66	36	follows	follow	VERB
ejpam-1975	66	37	:	:	PUNCT
ejpam-1975	66	38	cf(p	cf(p	NUM
ejpam-1975	66	39	)	)	PUNCT
ejpam-1975	66	40	(	(	PUNCT
ejpam-1975	66	41	x	x	X
ejpam-1975	66	42	)	)	PUNCT
ejpam-1975	66	43	=	=	SYM
ejpam-1975	66	44	1	1	NUM
ejpam-1975	66	45	,	,	PUNCT
ejpam-1975	66	46	cf(p	cf(p	NOUN
ejpam-1975	66	47	)	)	PUNCT
ejpam-1975	66	48	�	�	PROPN
ejpam-1975	66	49	y	y	PROPN
ejpam-1975	66	50	�	�	PROPN
ejpam-1975	66	51	=	=	SYM
ejpam-1975	66	52	2	2	NUM
ejpam-1975	66	53	,	,	PUNCT
ejpam-1975	66	54	cf(p	cf(p	NOUN
ejpam-1975	66	55	)	)	PUNCT
ejpam-1975	66	56	(	(	PUNCT
ejpam-1975	66	57	z	z	X
ejpam-1975	66	58	)	)	PUNCT
ejpam-1975	66	59	=	=	SYM
ejpam-1975	66	60	3	3	NUM
ejpam-1975	66	61	,	,	PUNCT
ejpam-1975	66	62	cf(p	cf(p	NOUN
ejpam-1975	66	63	)	)	PUNCT
ejpam-1975	66	64	(	(	PUNCT
ejpam-1975	66	65	w	w	NOUN
ejpam-1975	66	66	)	)	PUNCT
ejpam-1975	66	67	=	=	SYM
ejpam-1975	66	68	0	0	NUM
ejpam-1975	66	69	,	,	PUNCT
ejpam-1975	66	70	cf(q	cf(q	NUM
ejpam-1975	66	71	)	)	PUNCT
ejpam-1975	66	72	(	(	PUNCT
ejpam-1975	66	73	x	x	X
ejpam-1975	66	74	)	)	PUNCT
ejpam-1975	66	75	=	=	SYM
ejpam-1975	66	76	0	0	NUM
ejpam-1975	66	77	,	,	PUNCT
ejpam-1975	66	78	cf(q	cf(q	NUM
ejpam-1975	66	79	)	)	PUNCT
ejpam-1975	66	80	�	�	PROPN
ejpam-1975	66	81	y	y	PROPN
ejpam-1975	66	82	�	�	PROPN
ejpam-1975	66	83	=	=	SYM
ejpam-1975	66	84	0	0	NUM
ejpam-1975	66	85	,	,	PUNCT
ejpam-1975	66	86	cf(q	cf(q	NUM
ejpam-1975	66	87	)	)	PUNCT
ejpam-1975	67	1	(	(	PUNCT
ejpam-1975	67	2	z	z	X
ejpam-1975	67	3	)	)	PUNCT
ejpam-1975	67	4	=	=	SYM
ejpam-1975	67	5	0	0	NUM
ejpam-1975	67	6	,	,	PUNCT
ejpam-1975	67	7	cf(q	cf(q	NUM
ejpam-1975	67	8	)	)	PUNCT
ejpam-1975	67	9	(	(	PUNCT
ejpam-1975	67	10	w	w	X
ejpam-1975	67	11	)	)	PUNCT
ejpam-1975	67	12	=	=	SYM
ejpam-1975	67	13	4	4	NUM
ejpam-1975	67	14	,	,	PUNCT
ejpam-1975	67	15	cf(r	cf(r	NUM
ejpam-1975	67	16	)	)	PUNCT
ejpam-1975	67	17	(	(	PUNCT
ejpam-1975	67	18	x	x	X
ejpam-1975	67	19	)	)	PUNCT
ejpam-1975	67	20	=	=	SYM
ejpam-1975	67	21	0	0	NUM
ejpam-1975	67	22	,	,	PUNCT
ejpam-1975	67	23	cf(r	cf(r	NUM
ejpam-1975	67	24	)	)	PUNCT
ejpam-1975	67	25	�	�	PROPN
ejpam-1975	67	26	y	y	PROPN
ejpam-1975	67	27	�	�	PROPN
ejpam-1975	67	28	=	=	SYM
ejpam-1975	67	29	3	3	NUM
ejpam-1975	67	30	,	,	PUNCT
ejpam-1975	67	31	cf(r	cf(r	NUM
ejpam-1975	67	32	)	)	PUNCT
ejpam-1975	67	33	(	(	PUNCT
ejpam-1975	67	34	z	z	X
ejpam-1975	67	35	)	)	PUNCT
ejpam-1975	67	36	=	=	SYM
ejpam-1975	67	37	1	1	NUM
ejpam-1975	67	38	,	,	PUNCT
ejpam-1975	67	39	cf(r	cf(r	NUM
ejpam-1975	67	40	)	)	PUNCT
ejpam-1975	67	41	(	(	PUNCT
ejpam-1975	67	42	w	w	X
ejpam-1975	67	43	)	)	PUNCT
ejpam-1975	67	44	=	=	SYM
ejpam-1975	68	1	2	2	X
ejpam-1975	68	2	.	.	PUNCT
ejpam-1975	68	3	then	then	ADV
ejpam-1975	68	4	(	(	PUNCT
ejpam-1975	68	5	f	f	X
ejpam-1975	68	6	,	,	PUNCT
ejpam-1975	68	7	a	a	PRON
ejpam-1975	68	8	)	)	PUNCT
ejpam-1975	68	9	=	=	SYM
ejpam-1975	68	10	�	�	PROPN
ejpam-1975	68	11	f	f	PROPN
ejpam-1975	68	12	�	�	PROPN
ejpam-1975	68	13	p	p	PROPN
ejpam-1975	68	14	�	�	PROPN
ejpam-1975	68	15	,	,	PUNCT
ejpam-1975	68	16	f	f	PROPN
ejpam-1975	68	17	�	�	PROPN
ejpam-1975	68	18	q	q	PROPN
ejpam-1975	68	19	�	�	PROPN
ejpam-1975	68	20	,	,	PUNCT
ejpam-1975	68	21	f	f	PROPN
ejpam-1975	68	22	(	(	PUNCT
ejpam-1975	68	23	r	r	NOUN
ejpam-1975	68	24	)	)	PUNCT
ejpam-1975	68	25	=	=	SYM
ejpam-1975	68	26	{	{	PUNCT
ejpam-1975	68	27	�	�	PROPN
ejpam-1975	68	28	1	1	NUM
ejpam-1975	68	29	/	/	SYM
ejpam-1975	68	30	x	x	SYM
ejpam-1975	68	31	,	,	PUNCT
ejpam-1975	68	32	2	2	NUM
ejpam-1975	68	33	/	/	SYM
ejpam-1975	68	34	y	y	PROPN
ejpam-1975	68	35	,	,	PUNCT
ejpam-1975	68	36	3	3	NUM
ejpam-1975	68	37	/	/	SYM
ejpam-1975	68	38	z	z	NOUN
ejpam-1975	68	39	,	,	PUNCT
ejpam-1975	68	40	{	{	PUNCT
ejpam-1975	68	41	4	4	NUM
ejpam-1975	68	42	/	/	SYM
ejpam-1975	68	43	w	w	NOUN
ejpam-1975	68	44	}	}	PUNCT
ejpam-1975	68	45	,	,	PUNCT
ejpam-1975	68	46	{	{	PUNCT
ejpam-1975	68	47	3	3	NUM
ejpam-1975	68	48	/	/	SYM
ejpam-1975	68	49	y	y	PROPN
ejpam-1975	68	50	,	,	PUNCT
ejpam-1975	68	51	1	1	NUM
ejpam-1975	68	52	/	/	SYM
ejpam-1975	68	53	z	z	NOUN
ejpam-1975	68	54	,	,	PUNCT
ejpam-1975	68	55	2	2	NUM
ejpam-1975	68	56	/	/	SYM
ejpam-1975	68	57	w	w	NOUN
ejpam-1975	68	58	}	}	PUNCT
ejpam-1975	68	59	}	}	PUNCT
ejpam-1975	68	60	.	.	PUNCT
ejpam-1975	69	1	definition	definition	NOUN
ejpam-1975	69	2	5	5	NUM
ejpam-1975	69	3	.	.	PUNCT
ejpam-1975	70	1	for	for	ADP
ejpam-1975	70	2	two	two	NUM
ejpam-1975	70	3	soft	soft	ADJ
ejpam-1975	70	4	multisets	multiset	NOUN
ejpam-1975	70	5	(	(	PUNCT
ejpam-1975	70	6	f	f	X
ejpam-1975	70	7	,	,	PUNCT
ejpam-1975	70	8	a	a	PRON
ejpam-1975	70	9	)	)	PUNCT
ejpam-1975	70	10	and	and	CCONJ
ejpam-1975	70	11	(	(	PUNCT
ejpam-1975	70	12	g	g	PROPN
ejpam-1975	70	13	,	,	PUNCT
ejpam-1975	70	14	b	b	NOUN
ejpam-1975	70	15	)	)	PUNCT
ejpam-1975	70	16	over	over	ADP
ejpam-1975	70	17	u	u	PROPN
ejpam-1975	70	18	,	,	PUNCT
ejpam-1975	70	19	we	we	PRON
ejpam-1975	70	20	say	say	VERB
ejpam-1975	70	21	that	that	SCONJ
ejpam-1975	70	22	(	(	PUNCT
ejpam-1975	70	23	f	f	X
ejpam-1975	70	24	,	,	PUNCT
ejpam-1975	70	25	a	a	PRON
ejpam-1975	70	26	)	)	PUNCT
ejpam-1975	70	27	is	be	AUX
ejpam-1975	70	28	a	a	DET
ejpam-1975	70	29	soft	soft	ADJ
ejpam-1975	70	30	submultiset	submultiset	NOUN
ejpam-1975	70	31	of	of	ADP
ejpam-1975	70	32	(	(	PUNCT
ejpam-1975	70	33	g	g	PROPN
ejpam-1975	70	34	,	,	PUNCT
ejpam-1975	70	35	b	b	NOUN
ejpam-1975	70	36	)	)	PUNCT
ejpam-1975	70	37	if	if	SCONJ
ejpam-1975	70	38	i.	i.	PROPN
ejpam-1975	70	39	a⊆	a⊆	PROPN
ejpam-1975	70	40	b	b	PROPN
ejpam-1975	70	41	ii	ii	PROPN
ejpam-1975	70	42	.	.	PROPN
ejpam-1975	70	43	cf(e	cf(e	PROPN
ejpam-1975	70	44	)	)	PUNCT
ejpam-1975	70	45	(	(	PUNCT
ejpam-1975	70	46	x)≤	x)≤	ADV
ejpam-1975	70	47	cg(e	cg(e	NUM
ejpam-1975	70	48	)	)	PUNCT
ejpam-1975	70	49	(	(	PUNCT
ejpam-1975	70	50	x	x	X
ejpam-1975	70	51	)	)	PUNCT
ejpam-1975	70	52	,	,	PUNCT
ejpam-1975	70	53	∀x	∀x	X
ejpam-1975	70	54	∈	∈	PROPN
ejpam-1975	70	55	u∗	u∗	NOUN
ejpam-1975	70	56	,	,	PUNCT
ejpam-1975	70	57	∀e	∀e	PROPN
ejpam-1975	70	58	∈	∈	PROPN
ejpam-1975	71	1	a	a	PRON
ejpam-1975	72	1	we	we	PRON
ejpam-1975	72	2	write	write	VERB
ejpam-1975	72	3	(	(	PUNCT
ejpam-1975	72	4	f	f	X
ejpam-1975	72	5	,	,	PUNCT
ejpam-1975	72	6	a)⊂̃(g	a)⊂̃(g	ADP
ejpam-1975	72	7	,	,	PUNCT
ejpam-1975	72	8	b	b	NOUN
ejpam-1975	72	9	)	)	PUNCT
ejpam-1975	72	10	.	.	PUNCT
ejpam-1975	73	1	in	in	ADP
ejpam-1975	73	2	addition	addition	NOUN
ejpam-1975	73	3	to	to	ADP
ejpam-1975	73	4	(	(	PUNCT
ejpam-1975	73	5	f	f	X
ejpam-1975	73	6	,	,	PUNCT
ejpam-1975	73	7	a	a	PRON
ejpam-1975	73	8	)	)	PUNCT
ejpam-1975	73	9	is	be	AUX
ejpam-1975	73	10	a	a	DET
ejpam-1975	73	11	whole	whole	ADJ
ejpam-1975	73	12	soft	soft	ADJ
ejpam-1975	73	13	submultiset	submultiset	NOUN
ejpam-1975	73	14	of	of	ADP
ejpam-1975	73	15	(	(	PUNCT
ejpam-1975	73	16	g	g	PROPN
ejpam-1975	73	17	,	,	PUNCT
ejpam-1975	73	18	b	b	NOUN
ejpam-1975	73	19	)	)	PUNCT
ejpam-1975	73	20	if	if	SCONJ
ejpam-1975	73	21	cf(e	cf(e	ADV
ejpam-1975	73	22	)	)	PUNCT
ejpam-1975	73	23	(	(	PUNCT
ejpam-1975	73	24	x	x	X
ejpam-1975	73	25	)	)	PUNCT
ejpam-1975	73	26	=	=	SYM
ejpam-1975	73	27	cg(e	cg(e	NOUN
ejpam-1975	73	28	)	)	PUNCT
ejpam-1975	73	29	(	(	PUNCT
ejpam-1975	73	30	x	x	X
ejpam-1975	73	31	)	)	PUNCT
ejpam-1975	73	32	,	,	PUNCT
ejpam-1975	73	33	∀x	∀x	X
ejpam-1975	73	34	∈	∈	PROPN
ejpam-1975	73	35	u∗	u∗	NOUN
ejpam-1975	73	36	,	,	PUNCT
ejpam-1975	73	37	∀e	∀e	PROPN
ejpam-1975	73	38	∈	∈	PROPN
ejpam-1975	73	39	a.	a.	NOUN
ejpam-1975	73	40	definition	definition	NOUN
ejpam-1975	73	41	6	6	NUM
ejpam-1975	73	42	.	.	PUNCT
ejpam-1975	74	1	let	let	VERB
ejpam-1975	74	2	(	(	PUNCT
ejpam-1975	74	3	f	f	X
ejpam-1975	74	4	,	,	PUNCT
ejpam-1975	74	5	a	a	PRON
ejpam-1975	74	6	)	)	PUNCT
ejpam-1975	74	7	and	and	CCONJ
ejpam-1975	74	8	(	(	PUNCT
ejpam-1975	74	9	g	g	PROPN
ejpam-1975	74	10	,	,	PUNCT
ejpam-1975	74	11	b	b	NOUN
ejpam-1975	74	12	)	)	PUNCT
ejpam-1975	74	13	be	be	AUX
ejpam-1975	74	14	two	two	NUM
ejpam-1975	74	15	soft	soft	ADJ
ejpam-1975	74	16	multisets	multiset	NOUN
ejpam-1975	74	17	over	over	ADP
ejpam-1975	74	18	u.	u.	NOUN
ejpam-1975	74	19	equal	equal	ADJ
ejpam-1975	74	20	(	(	PUNCT
ejpam-1975	74	21	f	f	X
ejpam-1975	74	22	,	,	PUNCT
ejpam-1975	74	23	a	a	PRON
ejpam-1975	74	24	)	)	PUNCT
ejpam-1975	75	1	=	=	SYM
ejpam-1975	76	1	(	(	PUNCT
ejpam-1975	76	2	g	g	PROPN
ejpam-1975	76	3	,	,	PUNCT
ejpam-1975	76	4	b)⇔	b)⇔	PROPN
ejpam-1975	76	5	(	(	PUNCT
ejpam-1975	76	6	f	f	PROPN
ejpam-1975	76	7	,	,	PUNCT
ejpam-1975	76	8	a	a	DET
ejpam-1975	76	9	)	)	PUNCT
ejpam-1975	76	10	⊆̃	⊆̃	NOUN
ejpam-1975	76	11	(	(	PUNCT
ejpam-1975	76	12	g	g	NOUN
ejpam-1975	76	13	,	,	PUNCT
ejpam-1975	76	14	b	b	NOUN
ejpam-1975	76	15	)	)	PUNCT
ejpam-1975	76	16	and	and	CCONJ
ejpam-1975	76	17	(	(	PUNCT
ejpam-1975	76	18	f	f	X
ejpam-1975	76	19	,	,	PUNCT
ejpam-1975	76	20	a	a	PRON
ejpam-1975	76	21	)	)	PUNCT
ejpam-1975	76	22	⊇̃	⊇̃	PROPN
ejpam-1975	77	1	(	(	PUNCT
ejpam-1975	77	2	g	g	NOUN
ejpam-1975	77	3	,	,	PUNCT
ejpam-1975	77	4	b	b	NOUN
ejpam-1975	77	5	)	)	PUNCT
ejpam-1975	77	6	.	.	PUNCT
ejpam-1975	78	1	union	union	NOUN
ejpam-1975	78	2	(	(	PUNCT
ejpam-1975	78	3	h	h	NOUN
ejpam-1975	78	4	,	,	PUNCT
ejpam-1975	78	5	c	c	NOUN
ejpam-1975	78	6	)	)	PUNCT
ejpam-1975	78	7	=	=	SYM
ejpam-1975	78	8	(	(	PUNCT
ejpam-1975	78	9	f	f	X
ejpam-1975	78	10	,	,	PUNCT
ejpam-1975	78	11	a)∪̃(g	a)∪̃(g	PROPN
ejpam-1975	78	12	,	,	PUNCT
ejpam-1975	78	13	b	b	NOUN
ejpam-1975	78	14	)	)	PUNCT
ejpam-1975	78	15	where	where	SCONJ
ejpam-1975	78	16	c	c	NOUN
ejpam-1975	78	17	=	=	PUNCT
ejpam-1975	78	18	a	a	DET
ejpam-1975	78	19	∪	∪	X
ejpam-1975	78	20	b	b	NOUN
ejpam-1975	78	21	and	and	CCONJ
ejpam-1975	78	22	ch(e	ch(e	NUM
ejpam-1975	78	23	)	)	PUNCT
ejpam-1975	78	24	(	(	PUNCT
ejpam-1975	78	25	x	x	X
ejpam-1975	78	26	)	)	PUNCT
ejpam-1975	78	27	=	=	SYM
ejpam-1975	78	28	max{cf(e	max{cf(e	PROPN
ejpam-1975	78	29	)	)	PUNCT
ejpam-1975	78	30	(	(	PUNCT
ejpam-1975	78	31	x	x	NOUN
ejpam-1975	78	32	)	)	PUNCT
ejpam-1975	78	33	,	,	PUNCT
ejpam-1975	78	34	cg(e	cg(e	NUM
ejpam-1975	78	35	)	)	PUNCT
ejpam-1975	78	36	(	(	PUNCT
ejpam-1975	78	37	x	x	X
ejpam-1975	78	38	)	)	PUNCT
ejpam-1975	78	39	}	}	PUNCT
ejpam-1975	78	40	,	,	PUNCT
ejpam-1975	78	41	∀e	∀e	PROPN
ejpam-1975	78	42	∈	∈	PROPN
ejpam-1975	78	43	a∪	a∪	X
ejpam-1975	78	44	b	b	NOUN
ejpam-1975	78	45	,	,	PUNCT
ejpam-1975	78	46	∀x	∀x	NUM
ejpam-1975	78	47	∈	∈	PROPN
ejpam-1975	78	48	u∗.	u∗.	PROPN
ejpam-1975	78	49	intersection	intersection	NOUN
ejpam-1975	78	50	(	(	PUNCT
ejpam-1975	78	51	h	h	NOUN
ejpam-1975	78	52	,	,	PUNCT
ejpam-1975	78	53	c	c	NOUN
ejpam-1975	78	54	)	)	PUNCT
ejpam-1975	78	55	=	=	SYM
ejpam-1975	78	56	(	(	PUNCT
ejpam-1975	78	57	f	f	X
ejpam-1975	78	58	,	,	PUNCT
ejpam-1975	78	59	a)∩̃(g	a)∩̃(g	PROPN
ejpam-1975	78	60	,	,	PUNCT
ejpam-1975	78	61	b	b	NOUN
ejpam-1975	78	62	)	)	PUNCT
ejpam-1975	78	63	where	where	SCONJ
ejpam-1975	78	64	c	c	NOUN
ejpam-1975	78	65	=	=	SYM
ejpam-1975	78	66	a∩b	a∩b	PROPN
ejpam-1975	78	67	and	and	CCONJ
ejpam-1975	78	68	ch(e	ch(e	NUM
ejpam-1975	78	69	)	)	PUNCT
ejpam-1975	78	70	(	(	PUNCT
ejpam-1975	78	71	x	x	X
ejpam-1975	78	72	)	)	PUNCT
ejpam-1975	78	73	=	=	SYM
ejpam-1975	78	74	min{cf(e	min{cf(e	NOUN
ejpam-1975	78	75	)	)	PUNCT
ejpam-1975	78	76	(	(	PUNCT
ejpam-1975	78	77	x	x	NOUN
ejpam-1975	78	78	)	)	PUNCT
ejpam-1975	78	79	,	,	PUNCT
ejpam-1975	78	80	cg(e	cg(e	NUM
ejpam-1975	78	81	)	)	PUNCT
ejpam-1975	78	82	(	(	PUNCT
ejpam-1975	78	83	x	x	X
ejpam-1975	78	84	)	)	PUNCT
ejpam-1975	78	85	}	}	PUNCT
ejpam-1975	78	86	,	,	PUNCT
ejpam-1975	78	87	∀e	∀e	PROPN
ejpam-1975	78	88	∈	∈	PROPN
ejpam-1975	78	89	a∩	a∩	PROPN
ejpam-1975	78	90	b	b	X
ejpam-1975	78	91	,	,	PUNCT
ejpam-1975	78	92	∀x	∀x	X
ejpam-1975	78	93	∈	∈	PROPN
ejpam-1975	78	94	u∗.	u∗.	X
ejpam-1975	78	95	we	we	PRON
ejpam-1975	78	96	write	write	VERB
ejpam-1975	78	97	(	(	PUNCT
ejpam-1975	78	98	f	f	X
ejpam-1975	78	99	,	,	PUNCT
ejpam-1975	78	100	a)∩̃(g	a)∩̃(g	PROPN
ejpam-1975	78	101	,	,	PUNCT
ejpam-1975	78	102	b	b	NOUN
ejpam-1975	78	103	)	)	PUNCT
ejpam-1975	78	104	.	.	PUNCT
ejpam-1975	79	1	difference	difference	NOUN
ejpam-1975	79	2	(	(	PUNCT
ejpam-1975	79	3	h	h	NOUN
ejpam-1975	79	4	,	,	PUNCT
ejpam-1975	79	5	e	e	NOUN
ejpam-1975	79	6	)	)	PUNCT
ejpam-1975	79	7	=	=	SYM
ejpam-1975	79	8	(	(	PUNCT
ejpam-1975	79	9	f	f	X
ejpam-1975	79	10	,	,	PUNCT
ejpam-1975	79	11	e)\(g	e)\(g	PROPN
ejpam-1975	79	12	,	,	PUNCT
ejpam-1975	79	13	e	e	NOUN
ejpam-1975	79	14	)	)	PUNCT
ejpam-1975	79	15	where	where	SCONJ
ejpam-1975	79	16	ch(e	ch(e	NOUN
ejpam-1975	79	17	)	)	PUNCT
ejpam-1975	79	18	(	(	PUNCT
ejpam-1975	79	19	x	x	X
ejpam-1975	79	20	)	)	PUNCT
ejpam-1975	79	21	=	=	NOUN
ejpam-1975	79	22	max	max	NOUN
ejpam-1975	79	23	¦	¦	PROPN
ejpam-1975	79	24	cf(e	cf(e	PROPN
ejpam-1975	79	25	)	)	PUNCT
ejpam-1975	79	26	(	(	PUNCT
ejpam-1975	79	27	x)−	x)−	PROPN
ejpam-1975	79	28	cg(e	cg(e	NUM
ejpam-1975	79	29	)	)	PUNCT
ejpam-1975	79	30	(	(	PUNCT
ejpam-1975	79	31	x	x	X
ejpam-1975	79	32	)	)	PUNCT
ejpam-1975	79	33	,	,	PUNCT
ejpam-1975	79	34	0	0	PUNCT
ejpam-1975	80	1	©	©	NOUN
ejpam-1975	80	2	,	,	PUNCT
ejpam-1975	80	3	∀x	∀x	X
ejpam-1975	80	4	∈	∈	PROPN
ejpam-1975	80	5	u∗.	u∗.	PROPN
ejpam-1975	80	6	null	null	NOUN
ejpam-1975	80	7	a	a	DET
ejpam-1975	80	8	soft	soft	ADJ
ejpam-1975	80	9	multiset	multiset	NOUN
ejpam-1975	80	10	(	(	PUNCT
ejpam-1975	80	11	f	f	X
ejpam-1975	80	12	,	,	PUNCT
ejpam-1975	80	13	a	a	PRON
ejpam-1975	80	14	)	)	PUNCT
ejpam-1975	80	15	is	be	AUX
ejpam-1975	80	16	said	say	VERB
ejpam-1975	80	17	to	to	PART
ejpam-1975	80	18	be	be	AUX
ejpam-1975	80	19	a	a	DET
ejpam-1975	80	20	null	null	ADJ
ejpam-1975	80	21	soft	soft	ADJ
ejpam-1975	80	22	multiset	multiset	NOUN
ejpam-1975	80	23	denoted	denote	VERB
ejpam-1975	80	24	by	by	ADP
ejpam-1975	80	25	φ	φ	PROPN
ejpam-1975	80	26	if	if	SCONJ
ejpam-1975	80	27	for	for	ADP
ejpam-1975	80	28	all	all	DET
ejpam-1975	80	29	e	e	PROPN
ejpam-1975	80	30	∈	∈	PROPN
ejpam-1975	80	31	a	a	DET
ejpam-1975	80	32	,	,	PUNCT
ejpam-1975	80	33	f(e	f(e	NOUN
ejpam-1975	80	34	)	)	PUNCT
ejpam-1975	80	35	=	=	PUNCT
ejpam-1975	80	36	;	;	PUNCT
ejpam-1975	80	37	.	.	PUNCT
ejpam-1975	81	1	complement	complement	VERB
ejpam-1975	81	2	the	the	DET
ejpam-1975	81	3	complement	complement	NOUN
ejpam-1975	81	4	of	of	ADP
ejpam-1975	81	5	a	a	DET
ejpam-1975	81	6	soft	soft	ADJ
ejpam-1975	81	7	multiset	multiset	NOUN
ejpam-1975	81	8	(	(	PUNCT
ejpam-1975	81	9	f	f	X
ejpam-1975	81	10	,	,	PUNCT
ejpam-1975	81	11	a	a	PRON
ejpam-1975	81	12	)	)	PUNCT
ejpam-1975	81	13	is	be	AUX
ejpam-1975	81	14	denoted	denote	VERB
ejpam-1975	81	15	by	by	ADP
ejpam-1975	81	16	(	(	PUNCT
ejpam-1975	81	17	f	f	X
ejpam-1975	81	18	,	,	PUNCT
ejpam-1975	81	19	a)c	a)c	PUNCT
ejpam-1975	81	20	and	and	CCONJ
ejpam-1975	81	21	is	be	AUX
ejpam-1975	81	22	defined	define	VERB
ejpam-1975	81	23	by	by	ADP
ejpam-1975	81	24	(	(	PUNCT
ejpam-1975	81	25	f	f	X
ejpam-1975	81	26	,	,	PUNCT
ejpam-1975	81	27	a)c	a)c	X
ejpam-1975	81	28	=	=	PUNCT
ejpam-1975	82	1	(	(	PUNCT
ejpam-1975	82	2	f	f	PROPN
ejpam-1975	82	3	c	c	PROPN
ejpam-1975	82	4	,	,	PUNCT
ejpam-1975	82	5	a	a	X
ejpam-1975	82	6	)	)	PUNCT
ejpam-1975	82	7	where	where	SCONJ
ejpam-1975	82	8	f	f	PROPN
ejpam-1975	82	9	c	c	X
ejpam-1975	82	10	:	:	PUNCT
ejpam-1975	82	11	a→	a→	PROPN
ejpam-1975	82	12	p∗(u	p∗(u	NOUN
ejpam-1975	82	13	)	)	PUNCT
ejpam-1975	82	14	is	be	AUX
ejpam-1975	82	15	a	a	DET
ejpam-1975	82	16	mapping	mapping	NOUN
ejpam-1975	82	17	given	give	VERB
ejpam-1975	82	18	by	by	ADP
ejpam-1975	82	19	f	f	PROPN
ejpam-1975	82	20	c(e	c(e	NOUN
ejpam-1975	82	21	)	)	PUNCT
ejpam-1975	82	22	=	=	SYM
ejpam-1975	82	23	u\f(e	u\f(e	NOUN
ejpam-1975	82	24	)	)	PUNCT
ejpam-1975	82	25	for	for	ADP
ejpam-1975	82	26	all	all	DET
ejpam-1975	82	27	e	e	PROPN
ejpam-1975	82	28	∈	∈	PROPN
ejpam-1975	82	29	a	a	DET
ejpam-1975	82	30	where	where	SCONJ
ejpam-1975	82	31	cf	cf	NOUN
ejpam-1975	82	32	c(e	c(e	NOUN
ejpam-1975	82	33	)	)	PUNCT
ejpam-1975	82	34	(	(	PUNCT
ejpam-1975	82	35	x	x	X
ejpam-1975	82	36	)	)	PUNCT
ejpam-1975	82	37	=	=	SYM
ejpam-1975	82	38	cu	cu	PROPN
ejpam-1975	82	39	(	(	PUNCT
ejpam-1975	82	40	x)−	x)−	PROPN
ejpam-1975	82	41	cf(e	cf(e	PROPN
ejpam-1975	82	42	)	)	PUNCT
ejpam-1975	82	43	(	(	PUNCT
ejpam-1975	82	44	x	x	X
ejpam-1975	82	45	)	)	PUNCT
ejpam-1975	82	46	,	,	PUNCT
ejpam-1975	82	47	∀x	∀x	X
ejpam-1975	82	48	∈	∈	PROPN
ejpam-1975	82	49	u∗.	u∗.	PROPN
ejpam-1975	82	50	definition	definition	NOUN
ejpam-1975	82	51	7	7	NUM
ejpam-1975	82	52	.	.	PUNCT
ejpam-1975	83	1	let	let	AUX
ejpam-1975	83	2	(	(	PUNCT
ejpam-1975	83	3	f	f	X
ejpam-1975	83	4	,	,	PUNCT
ejpam-1975	83	5	e	e	NOUN
ejpam-1975	83	6	)	)	PUNCT
ejpam-1975	83	7	be	be	AUX
ejpam-1975	83	8	a	a	DET
ejpam-1975	83	9	soft	soft	ADJ
ejpam-1975	83	10	multiset	multiset	NOUN
ejpam-1975	83	11	over	over	ADP
ejpam-1975	83	12	u	u	NOUN
ejpam-1975	83	13	and	and	CCONJ
ejpam-1975	83	14	a	a	DET
ejpam-1975	83	15	∈	∈	NOUN
ejpam-1975	83	16	u∗.	u∗.	INTJ
ejpam-1975	83	17	we	we	PRON
ejpam-1975	83	18	say	say	VERB
ejpam-1975	83	19	that	that	SCONJ
ejpam-1975	83	20	a	a	DET
ejpam-1975	83	21	∈	∈	NOUN
ejpam-1975	83	22	(	(	PUNCT
ejpam-1975	83	23	f	f	X
ejpam-1975	83	24	,	,	PUNCT
ejpam-1975	83	25	e	e	NOUN
ejpam-1975	83	26	)	)	PUNCT
ejpam-1975	83	27	read	read	NOUN
ejpam-1975	83	28	as	as	ADP
ejpam-1975	83	29	a	a	DET
ejpam-1975	83	30	belongs	belong	NOUN
ejpam-1975	83	31	to	to	ADP
ejpam-1975	83	32	the	the	DET
ejpam-1975	83	33	soft	soft	ADJ
ejpam-1975	83	34	multiset	multiset	NOUN
ejpam-1975	83	35	(	(	PUNCT
ejpam-1975	83	36	f	f	X
ejpam-1975	83	37	,	,	PUNCT
ejpam-1975	83	38	e	e	NOUN
ejpam-1975	83	39	)	)	PUNCT
ejpam-1975	83	40	whenever	whenever	SCONJ
ejpam-1975	83	41	a	a	DET
ejpam-1975	83	42	∈	∈	PROPN
ejpam-1975	83	43	f(e	f(e	NOUN
ejpam-1975	83	44	)	)	PUNCT
ejpam-1975	83	45	for	for	ADP
ejpam-1975	83	46	all	all	PRON
ejpam-1975	83	47	e	e	PROPN
ejpam-1975	83	48	∈	∈	PROPN
ejpam-1975	83	49	e.	e.	PROPN
ejpam-1975	83	50	note	note	VERB
ejpam-1975	83	51	that	that	SCONJ
ejpam-1975	83	52	for	for	ADP
ejpam-1975	83	53	any	any	DET
ejpam-1975	83	54	a	a	DET
ejpam-1975	83	55	∈	∈	PROPN
ejpam-1975	83	56	u	u	NOUN
ejpam-1975	83	57	,	,	PUNCT
ejpam-1975	83	58	a	a	PRON
ejpam-1975	83	59	/∈	/∈	PUNCT
ejpam-1975	83	60	(	(	PUNCT
ejpam-1975	83	61	f	f	X
ejpam-1975	83	62	,	,	PUNCT
ejpam-1975	83	63	e	e	NOUN
ejpam-1975	83	64	)	)	PUNCT
ejpam-1975	83	65	,	,	PUNCT
ejpam-1975	83	66	if	if	SCONJ
ejpam-1975	83	67	a	a	DET
ejpam-1975	83	68	/∈	/∈	NOUN
ejpam-1975	83	69	f(e	f(e	NOUN
ejpam-1975	83	70	)	)	PUNCT
ejpam-1975	83	71	for	for	ADP
ejpam-1975	83	72	some	some	DET
ejpam-1975	83	73	e	e	PROPN
ejpam-1975	83	74	∈	∈	PROPN
ejpam-1975	83	75	e.	e.	PROPN
ejpam-1975	83	76	i̇.	i̇.	PROPN
ejpam-1975	83	77	osmanoğlu	osmanoğlu	PROPN
ejpam-1975	83	78	,	,	PUNCT
ejpam-1975	83	79	d.	d.	PROPN
ejpam-1975	83	80	tokat	tokat	PROPN
ejpam-1975	83	81	/	/	SYM
ejpam-1975	83	82	eur	eur	PROPN
ejpam-1975	83	83	.	.	PUNCT
ejpam-1975	84	1	j.	j.	PROPN
ejpam-1975	84	2	pure	pure	PROPN
ejpam-1975	84	3	appl	appl	PROPN
ejpam-1975	84	4	.	.	PROPN
ejpam-1975	84	5	math	math	PROPN
ejpam-1975	84	6	,	,	PUNCT
ejpam-1975	84	7	7	7	NUM
ejpam-1975	84	8	(	(	PUNCT
ejpam-1975	84	9	2014	2014	NUM
ejpam-1975	84	10	)	)	PUNCT
ejpam-1975	84	11	,	,	PUNCT
ejpam-1975	84	12	97	97	NUM
ejpam-1975	84	13	-	-	SYM
ejpam-1975	84	14	108	108	NUM
ejpam-1975	84	15	100	100	NUM
ejpam-1975	84	16	let	let	VERB
ejpam-1975	84	17	(	(	PUNCT
ejpam-1975	84	18	f	f	X
ejpam-1975	84	19	,	,	PUNCT
ejpam-1975	84	20	e	e	NOUN
ejpam-1975	84	21	)	)	PUNCT
ejpam-1975	84	22	be	be	AUX
ejpam-1975	84	23	soft	soft	ADJ
ejpam-1975	84	24	multiset	multiset	VERB
ejpam-1975	84	25	over	over	ADP
ejpam-1975	84	26	u	u	PROPN
ejpam-1975	84	27	.if	.if	PROPN
ejpam-1975	84	28	for	for	ADP
ejpam-1975	84	29	all	all	DET
ejpam-1975	84	30	e	e	NOUN
ejpam-1975	84	31	∈	∈	PROPN
ejpam-1975	84	32	e	e	NOUN
ejpam-1975	84	33	and	and	CCONJ
ejpam-1975	84	34	a	a	DET
ejpam-1975	84	35	∈	∈	PROPN
ejpam-1975	84	36	u∗	u∗	NOUN
ejpam-1975	84	37	,	,	PUNCT
ejpam-1975	84	38	cf(e	cf(e	PROPN
ejpam-1975	84	39	)	)	PUNCT
ejpam-1975	84	40	(	(	PUNCT
ejpam-1975	84	41	a	a	X
ejpam-1975	84	42	)	)	PUNCT
ejpam-1975	84	43	=	=	SYM
ejpam-1975	84	44	n	n	CCONJ
ejpam-1975	84	45	(	(	PUNCT
ejpam-1975	84	46	n≥	n≥	NOUN
ejpam-1975	84	47	1	1	NUM
ejpam-1975	84	48	)	)	PUNCT
ejpam-1975	84	49	then	then	ADV
ejpam-1975	84	50	we	we	PRON
ejpam-1975	84	51	will	will	AUX
ejpam-1975	84	52	write	write	VERB
ejpam-1975	84	53	a	a	DET
ejpam-1975	84	54	∈	∈	PROPN
ejpam-1975	84	55	f	f	X
ejpam-1975	84	56	(	(	PUNCT
ejpam-1975	84	57	e	e	NOUN
ejpam-1975	84	58	)	)	PUNCT
ejpam-1975	84	59	instead	instead	ADV
ejpam-1975	84	60	of	of	ADP
ejpam-1975	84	61	a	a	DET
ejpam-1975	84	62	∈n	∈n	ADJ
ejpam-1975	84	63	f	f	NOUN
ejpam-1975	84	64	(	(	PUNCT
ejpam-1975	84	65	e	e	NOUN
ejpam-1975	84	66	)	)	PUNCT
ejpam-1975	84	67	.	.	PUNCT
ejpam-1975	85	1	definition	definition	NOUN
ejpam-1975	85	2	8	8	NUM
ejpam-1975	85	3	.	.	PUNCT
ejpam-1975	86	1	let	let	VERB
ejpam-1975	86	2	v	v	PART
ejpam-1975	86	3	be	be	AUX
ejpam-1975	86	4	a	a	DET
ejpam-1975	86	5	non	non	ADJ
ejpam-1975	86	6	-	-	ADJ
ejpam-1975	86	7	empty	empty	ADJ
ejpam-1975	86	8	submultiset	submultiset	NOUN
ejpam-1975	86	9	of	of	ADP
ejpam-1975	86	10	u	u	NOUN
ejpam-1975	86	11	,	,	PUNCT
ejpam-1975	86	12	then	then	ADV
ejpam-1975	86	13	ṽ	ṽ	PROPN
ejpam-1975	86	14	denotes	denote	VERB
ejpam-1975	86	15	the	the	DET
ejpam-1975	86	16	soft	soft	ADJ
ejpam-1975	86	17	multiset	multiset	NOUN
ejpam-1975	86	18	(	(	PUNCT
ejpam-1975	86	19	v	v	NOUN
ejpam-1975	86	20	,	,	PUNCT
ejpam-1975	86	21	e	e	NOUN
ejpam-1975	86	22	)	)	PUNCT
ejpam-1975	86	23	over	over	ADP
ejpam-1975	86	24	u	u	NOUN
ejpam-1975	86	25	for	for	ADP
ejpam-1975	86	26	which	which	PRON
ejpam-1975	86	27	v	v	ADP
ejpam-1975	86	28	(	(	PUNCT
ejpam-1975	86	29	e	e	NOUN
ejpam-1975	86	30	)	)	PUNCT
ejpam-1975	86	31	=	=	SYM
ejpam-1975	86	32	v	v	NOUN
ejpam-1975	86	33	,	,	PUNCT
ejpam-1975	86	34	for	for	ADP
ejpam-1975	86	35	all	all	DET
ejpam-1975	86	36	e	e	PROPN
ejpam-1975	86	37	∈	∈	PROPN
ejpam-1975	86	38	e.	e.	PROPN
ejpam-1975	86	39	in	in	ADP
ejpam-1975	86	40	particular	particular	ADJ
ejpam-1975	86	41	,	,	PUNCT
ejpam-1975	86	42	(	(	PUNCT
ejpam-1975	86	43	u	u	NOUN
ejpam-1975	86	44	,	,	PUNCT
ejpam-1975	86	45	e	e	NOUN
ejpam-1975	86	46	)	)	PUNCT
ejpam-1975	86	47	will	will	AUX
ejpam-1975	86	48	be	be	AUX
ejpam-1975	86	49	denoted	denote	VERB
ejpam-1975	86	50	by	by	ADP
ejpam-1975	86	51	ũ	ũ	PROPN
ejpam-1975	86	52	.	.	PUNCT
ejpam-1975	87	1	definition	definition	NOUN
ejpam-1975	87	2	9	9	NUM
ejpam-1975	87	3	.	.	PUNCT
ejpam-1975	88	1	let	let	VERB
ejpam-1975	88	2	a	a	DET
ejpam-1975	88	3	∈	∈	PROPN
ejpam-1975	88	4	u∗	u∗	NOUN
ejpam-1975	88	5	,	,	PUNCT
ejpam-1975	88	6	then	then	ADV
ejpam-1975	88	7	(	(	PUNCT
ejpam-1975	88	8	a	a	DET
ejpam-1975	88	9	,	,	PUNCT
ejpam-1975	88	10	e	e	NOUN
ejpam-1975	88	11	)	)	PUNCT
ejpam-1975	88	12	denotes	denote	VERB
ejpam-1975	88	13	the	the	DET
ejpam-1975	88	14	soft	soft	ADJ
ejpam-1975	88	15	multiset	multiset	NOUN
ejpam-1975	88	16	over	over	ADP
ejpam-1975	88	17	u	u	NOUN
ejpam-1975	88	18	for	for	ADP
ejpam-1975	88	19	which	which	PRON
ejpam-1975	88	20	a(e	a(e	NOUN
ejpam-1975	88	21	)	)	PUNCT
ejpam-1975	88	22	=	=	PRON
ejpam-1975	88	23	{	{	PUNCT
ejpam-1975	88	24	a	a	NOUN
ejpam-1975	88	25	}	}	PUNCT
ejpam-1975	88	26	,	,	PUNCT
ejpam-1975	88	27	for	for	ADP
ejpam-1975	88	28	all	all	DET
ejpam-1975	88	29	e	e	PROPN
ejpam-1975	88	30	∈	∈	PROPN
ejpam-1975	88	31	e.	e.	PROPN
ejpam-1975	88	32	definition	definition	NOUN
ejpam-1975	88	33	10	10	NUM
ejpam-1975	88	34	.	.	PUNCT
ejpam-1975	89	1	let	let	AUX
ejpam-1975	89	2	(	(	PUNCT
ejpam-1975	89	3	f	f	X
ejpam-1975	89	4	,	,	PUNCT
ejpam-1975	89	5	e	e	NOUN
ejpam-1975	89	6	)	)	PUNCT
ejpam-1975	89	7	be	be	AUX
ejpam-1975	89	8	a	a	DET
ejpam-1975	89	9	soft	soft	ADJ
ejpam-1975	89	10	multiset	multiset	NOUN
ejpam-1975	89	11	over	over	ADP
ejpam-1975	89	12	u	u	NOUN
ejpam-1975	89	13	and	and	CCONJ
ejpam-1975	89	14	v	v	NOUN
ejpam-1975	89	15	be	be	AUX
ejpam-1975	89	16	a	a	DET
ejpam-1975	89	17	non	non	ADJ
ejpam-1975	89	18	-	-	ADJ
ejpam-1975	89	19	empty	empty	ADJ
ejpam-1975	89	20	submultiset	submultiset	NOUN
ejpam-1975	89	21	of	of	ADP
ejpam-1975	89	22	u.	u.	NOUN
ejpam-1975	90	1	then	then	ADV
ejpam-1975	90	2	the	the	DET
ejpam-1975	90	3	sub	sub	NOUN
ejpam-1975	90	4	soft	soft	ADJ
ejpam-1975	90	5	multiset	multiset	NOUN
ejpam-1975	90	6	of	of	ADP
ejpam-1975	90	7	(	(	PUNCT
ejpam-1975	90	8	f	f	X
ejpam-1975	90	9	,	,	PUNCT
ejpam-1975	90	10	e	e	NOUN
ejpam-1975	90	11	)	)	PUNCT
ejpam-1975	90	12	over	over	ADP
ejpam-1975	90	13	v	v	NUM
ejpam-1975	90	14	denoted	denote	VERB
ejpam-1975	90	15	by	by	ADP
ejpam-1975	90	16	(	(	PUNCT
ejpam-1975	90	17	v	v	NOUN
ejpam-1975	90	18	f	f	PROPN
ejpam-1975	90	19	,	,	PUNCT
ejpam-1975	90	20	e	e	NOUN
ejpam-1975	90	21	)	)	PUNCT
ejpam-1975	90	22	,	,	PUNCT
ejpam-1975	90	23	is	be	AUX
ejpam-1975	90	24	defined	define	VERB
ejpam-1975	90	25	as	as	SCONJ
ejpam-1975	90	26	follows	follow	VERB
ejpam-1975	90	27	v	v	ADP
ejpam-1975	90	28	f(e	f(e	NOUN
ejpam-1975	90	29	)	)	PUNCT
ejpam-1975	90	30	=	=	SYM
ejpam-1975	90	31	v	v	X
ejpam-1975	90	32	∩	∩	X
ejpam-1975	90	33	f(e	f(e	NOUN
ejpam-1975	90	34	)	)	PUNCT
ejpam-1975	90	35	,	,	PUNCT
ejpam-1975	90	36	for	for	ADP
ejpam-1975	90	37	all	all	DET
ejpam-1975	90	38	e	e	NOUN
ejpam-1975	90	39	∈	∈	PROPN
ejpam-1975	90	40	e	e	X
ejpam-1975	90	41	where	where	SCONJ
ejpam-1975	90	42	cv	cv	PROPN
ejpam-1975	90	43	f(e	f(e	PROPN
ejpam-1975	90	44	)	)	PUNCT
ejpam-1975	90	45	(	(	PUNCT
ejpam-1975	90	46	x	x	X
ejpam-1975	90	47	)	)	PUNCT
ejpam-1975	91	1	=	=	NOUN
ejpam-1975	91	2	min{cv	min{cv	NOUN
ejpam-1975	91	3	(	(	PUNCT
ejpam-1975	91	4	x	x	NOUN
ejpam-1975	91	5	)	)	PUNCT
ejpam-1975	91	6	,	,	PUNCT
ejpam-1975	91	7	cf(e	cf(e	PROPN
ejpam-1975	91	8	)	)	PUNCT
ejpam-1975	91	9	(	(	PUNCT
ejpam-1975	91	10	x)},∀x	x)},∀x	PUNCT
ejpam-1975	91	11	∈	∈	PROPN
ejpam-1975	91	12	u∗	u∗	NOUN
ejpam-1975	91	13	in	in	ADP
ejpam-1975	91	14	other	other	ADJ
ejpam-1975	91	15	words	word	NOUN
ejpam-1975	91	16	(	(	PUNCT
ejpam-1975	91	17	v	v	NOUN
ejpam-1975	91	18	f	f	PROPN
ejpam-1975	91	19	,	,	PUNCT
ejpam-1975	91	20	e	e	NOUN
ejpam-1975	91	21	)	)	PUNCT
ejpam-1975	91	22	=	=	SYM
ejpam-1975	91	23	ṽ	ṽ	PROPN
ejpam-1975	91	24	∩̃(f	∩̃(f	PRON
ejpam-1975	91	25	,	,	PUNCT
ejpam-1975	91	26	e	e	NOUN
ejpam-1975	91	27	)	)	PUNCT
ejpam-1975	91	28	.	.	PUNCT
ejpam-1975	92	1	2.2	2.2	NUM
ejpam-1975	92	2	.	.	PUNCT
ejpam-1975	92	3	soft	soft	ADJ
ejpam-1975	92	4	multi	multi	ADJ
ejpam-1975	92	5	topology	topology	NOUN
ejpam-1975	92	6	in	in	ADP
ejpam-1975	92	7	this	this	DET
ejpam-1975	92	8	section	section	NOUN
ejpam-1975	93	1	,	,	PUNCT
ejpam-1975	93	2	we	we	PRON
ejpam-1975	93	3	recall	recall	VERB
ejpam-1975	93	4	soft	soft	ADJ
ejpam-1975	93	5	multi	multi	ADJ
ejpam-1975	93	6	topology	topology	NOUN
ejpam-1975	93	7	which	which	PRON
ejpam-1975	93	8	given	give	VERB
ejpam-1975	93	9	in	in	ADP
ejpam-1975	93	10	[	[	NOUN
ejpam-1975	93	11	13	13	NUM
ejpam-1975	93	12	]	]	PUNCT
ejpam-1975	93	13	.	.	PUNCT
ejpam-1975	94	1	definition	definition	NOUN
ejpam-1975	94	2	11	11	NUM
ejpam-1975	94	3	.	.	PUNCT
ejpam-1975	95	1	let	let	VERB
ejpam-1975	95	2	x	x	PRON
ejpam-1975	95	3	be	be	AUX
ejpam-1975	95	4	universal	universal	ADJ
ejpam-1975	95	5	multiset	multiset	VERB
ejpam-1975	95	6	and	and	CCONJ
ejpam-1975	95	7	e	e	NOUN
ejpam-1975	95	8	be	be	AUX
ejpam-1975	95	9	set	set	VERB
ejpam-1975	95	10	of	of	ADP
ejpam-1975	95	11	parameters	parameter	NOUN
ejpam-1975	95	12	.	.	PUNCT
ejpam-1975	96	1	then	then	ADV
ejpam-1975	96	2	the	the	DET
ejpam-1975	96	3	collection	collection	NOUN
ejpam-1975	96	4	of	of	ADP
ejpam-1975	96	5	all	all	DET
ejpam-1975	96	6	soft	soft	ADJ
ejpam-1975	96	7	multisets	multiset	NOUN
ejpam-1975	96	8	over	over	ADP
ejpam-1975	96	9	x	x	PUNCT
ejpam-1975	96	10	with	with	ADP
ejpam-1975	96	11	parameters	parameter	NOUN
ejpam-1975	96	12	from	from	ADP
ejpam-1975	96	13	e	e	PROPN
ejpam-1975	96	14	is	be	AUX
ejpam-1975	96	15	called	call	VERB
ejpam-1975	96	16	a	a	DET
ejpam-1975	96	17	soft	soft	ADJ
ejpam-1975	96	18	multi	multi	ADJ
ejpam-1975	96	19	class	class	NOUN
ejpam-1975	96	20	and	and	CCONJ
ejpam-1975	96	21	is	be	AUX
ejpam-1975	96	22	denoted	denote	VERB
ejpam-1975	96	23	as	as	ADP
ejpam-1975	96	24	xe	xe	PROPN
ejpam-1975	96	25	.	.	PUNCT
ejpam-1975	97	1	definition	definition	NOUN
ejpam-1975	97	2	12	12	NUM
ejpam-1975	97	3	.	.	PUNCT
ejpam-1975	98	1	let	let	VERB
ejpam-1975	98	2	τ	τ	PROPN
ejpam-1975	98	3	⊆	⊆	PROPN
ejpam-1975	98	4	xe	xe	PROPN
ejpam-1975	98	5	,	,	PUNCT
ejpam-1975	98	6	then	then	ADV
ejpam-1975	98	7	τ	τ	PROPN
ejpam-1975	98	8	is	be	AUX
ejpam-1975	98	9	said	say	VERB
ejpam-1975	98	10	to	to	PART
ejpam-1975	98	11	be	be	AUX
ejpam-1975	98	12	a	a	DET
ejpam-1975	98	13	soft	soft	ADJ
ejpam-1975	98	14	multi	multi	ADJ
ejpam-1975	98	15	topology	topology	NOUN
ejpam-1975	98	16	on	on	ADP
ejpam-1975	98	17	x	x	SYM
ejpam-1975	98	18	if	if	SCONJ
ejpam-1975	98	19	the	the	DET
ejpam-1975	98	20	following	follow	VERB
ejpam-1975	98	21	conditions	condition	NOUN
ejpam-1975	98	22	hold	hold	VERB
ejpam-1975	98	23	.	.	PUNCT
ejpam-1975	99	1	i.	i.	PROPN
ejpam-1975	99	2	φ	φ	PROPN
ejpam-1975	99	3	,	,	PUNCT
ejpam-1975	99	4	x̃	x̃	PROPN
ejpam-1975	99	5	belong	belong	VERB
ejpam-1975	99	6	to	to	ADP
ejpam-1975	99	7	τ	τ	PROPN
ejpam-1975	99	8	.	.	PUNCT
ejpam-1975	99	9	ii	ii	PROPN
ejpam-1975	99	10	.	.	PUNCT
ejpam-1975	100	1	the	the	DET
ejpam-1975	100	2	union	union	NOUN
ejpam-1975	100	3	of	of	ADP
ejpam-1975	100	4	any	any	DET
ejpam-1975	100	5	number	number	NOUN
ejpam-1975	100	6	of	of	ADP
ejpam-1975	100	7	soft	soft	ADJ
ejpam-1975	100	8	multisets	multiset	NOUN
ejpam-1975	100	9	in	in	ADP
ejpam-1975	100	10	τ	τ	PROPN
ejpam-1975	100	11	belongs	belong	VERB
ejpam-1975	100	12	to	to	ADP
ejpam-1975	100	13	τ	τ	PROPN
ejpam-1975	100	14	.	.	PUNCT
ejpam-1975	100	15	iii	iii	PROPN
ejpam-1975	100	16	.	.	PUNCT
ejpam-1975	101	1	the	the	DET
ejpam-1975	101	2	intersection	intersection	NOUN
ejpam-1975	101	3	of	of	ADP
ejpam-1975	101	4	any	any	DET
ejpam-1975	101	5	two	two	NUM
ejpam-1975	101	6	soft	soft	ADJ
ejpam-1975	101	7	multisets	multiset	NOUN
ejpam-1975	101	8	in	in	ADP
ejpam-1975	101	9	τ	τ	PROPN
ejpam-1975	101	10	belongs	belong	VERB
ejpam-1975	101	11	to	to	ADP
ejpam-1975	101	12	τ	τ	PROPN
ejpam-1975	101	13	.	.	PUNCT
ejpam-1975	102	1	τ	τ	PROPN
ejpam-1975	102	2	is	be	AUX
ejpam-1975	102	3	called	call	VERB
ejpam-1975	102	4	a	a	DET
ejpam-1975	102	5	soft	soft	ADJ
ejpam-1975	102	6	multi	multi	NOUN
ejpam-1975	102	7	topology	topology	NOUN
ejpam-1975	102	8	over	over	ADP
ejpam-1975	102	9	x	x	PUNCT
ejpam-1975	102	10	and	and	CCONJ
ejpam-1975	102	11	the	the	DET
ejpam-1975	102	12	binary	binary	NOUN
ejpam-1975	102	13	(	(	PUNCT
ejpam-1975	102	14	xe	xe	PROPN
ejpam-1975	102	15	,	,	PUNCT
ejpam-1975	102	16	τ	τ	PROPN
ejpam-1975	102	17	)	)	PUNCT
ejpam-1975	102	18	is	be	AUX
ejpam-1975	102	19	called	call	VERB
ejpam-1975	102	20	a	a	DET
ejpam-1975	102	21	soft	soft	ADJ
ejpam-1975	102	22	multi	multi	ADJ
ejpam-1975	102	23	topological	topological	ADJ
ejpam-1975	102	24	space	space	NOUN
ejpam-1975	102	25	over	over	ADP
ejpam-1975	102	26	x	x	PROPN
ejpam-1975	102	27	.	.	PUNCT
ejpam-1975	103	1	the	the	DET
ejpam-1975	103	2	members	member	NOUN
ejpam-1975	103	3	of	of	ADP
ejpam-1975	103	4	τ	τ	PROPN
ejpam-1975	103	5	are	be	AUX
ejpam-1975	103	6	said	say	VERB
ejpam-1975	103	7	to	to	PART
ejpam-1975	103	8	be	be	AUX
ejpam-1975	103	9	soft	soft	ADJ
ejpam-1975	103	10	multi	multi	ADJ
ejpam-1975	103	11	open	open	ADJ
ejpam-1975	103	12	sets	set	NOUN
ejpam-1975	103	13	in	in	ADP
ejpam-1975	103	14	x	x	X
ejpam-1975	103	15	.	.	PUNCT
ejpam-1975	104	1	a	a	DET
ejpam-1975	104	2	soft	soft	ADJ
ejpam-1975	104	3	multiset	multiset	NOUN
ejpam-1975	104	4	(	(	PUNCT
ejpam-1975	104	5	f	f	X
ejpam-1975	104	6	,	,	PUNCT
ejpam-1975	104	7	e	e	NOUN
ejpam-1975	104	8	)	)	PUNCT
ejpam-1975	104	9	over	over	ADV
ejpam-1975	104	10	x	x	VERB
ejpam-1975	104	11	is	be	AUX
ejpam-1975	104	12	said	say	VERB
ejpam-1975	104	13	to	to	PART
ejpam-1975	104	14	be	be	AUX
ejpam-1975	104	15	a	a	DET
ejpam-1975	104	16	soft	soft	ADJ
ejpam-1975	104	17	multi	multi	NOUN
ejpam-1975	104	18	closed	closed	ADJ
ejpam-1975	104	19	set	set	VERB
ejpam-1975	104	20	in	in	ADP
ejpam-1975	104	21	x	x	SYM
ejpam-1975	104	22	,	,	PUNCT
ejpam-1975	104	23	if	if	SCONJ
ejpam-1975	104	24	its	its	PRON
ejpam-1975	104	25	complement	complement	NOUN
ejpam-1975	104	26	(	(	PUNCT
ejpam-1975	104	27	f	f	X
ejpam-1975	104	28	,	,	PUNCT
ejpam-1975	104	29	e)c	e)c	X
ejpam-1975	104	30	belongs	belong	VERB
ejpam-1975	104	31	to	to	ADP
ejpam-1975	104	32	τ	τ	PROPN
ejpam-1975	104	33	.	.	PROPN
ejpam-1975	104	34	example	example	NOUN
ejpam-1975	104	35	3	3	NUM
ejpam-1975	104	36	.	.	X
ejpam-1975	104	37	et	et	NOUN
ejpam-1975	104	38	x	x	X
ejpam-1975	105	1	=	=	PUNCT
ejpam-1975	105	2	{	{	PUNCT
ejpam-1975	105	3	2	2	NUM
ejpam-1975	105	4	/	/	SYM
ejpam-1975	105	5	x	x	NOUN
ejpam-1975	105	6	,	,	PUNCT
ejpam-1975	105	7	3	3	X
ejpam-1975	105	8	/	/	SYM
ejpam-1975	105	9	y	y	PROPN
ejpam-1975	105	10	,	,	PUNCT
ejpam-1975	105	11	4	4	NUM
ejpam-1975	105	12	/	/	SYM
ejpam-1975	105	13	z	z	NOUN
ejpam-1975	105	14	,	,	PUNCT
ejpam-1975	105	15	5	5	NUM
ejpam-1975	105	16	/	/	SYM
ejpam-1975	105	17	w	w	NOUN
ejpam-1975	105	18	}	}	PUNCT
ejpam-1975	105	19	,	,	PUNCT
ejpam-1975	105	20	e	e	X
ejpam-1975	105	21	=	=	PUNCT
ejpam-1975	105	22	{	{	PUNCT
ejpam-1975	105	23	p	p	X
ejpam-1975	105	24	,	,	PUNCT
ejpam-1975	105	25	q	q	NOUN
ejpam-1975	105	26	}	}	PUNCT
ejpam-1975	105	27	and	and	CCONJ
ejpam-1975	105	28	τ	τ	PROPN
ejpam-1975	105	29	=	=	PUNCT
ejpam-1975	105	30	{	{	PUNCT
ejpam-1975	105	31	φ	φ	PROPN
ejpam-1975	105	32	,	,	PUNCT
ejpam-1975	105	33	x̃	x̃	PROPN
ejpam-1975	105	34	,	,	PUNCT
ejpam-1975	105	35	(	(	PUNCT
ejpam-1975	105	36	f1	f1	NOUN
ejpam-1975	105	37	,	,	PUNCT
ejpam-1975	105	38	e	e	NOUN
ejpam-1975	105	39	)	)	PUNCT
ejpam-1975	105	40	,	,	PUNCT
ejpam-1975	105	41	(	(	PUNCT
ejpam-1975	105	42	f2	f2	PROPN
ejpam-1975	105	43	,	,	PUNCT
ejpam-1975	105	44	e	e	NOUN
ejpam-1975	105	45	)	)	PUNCT
ejpam-1975	105	46	,	,	PUNCT
ejpam-1975	105	47	(	(	PUNCT
ejpam-1975	105	48	f3	f3	ADJ
ejpam-1975	105	49	,	,	PUNCT
ejpam-1975	105	50	e	e	NOUN
ejpam-1975	105	51	)	)	PUNCT
ejpam-1975	105	52	}	}	PUNCT
ejpam-1975	105	53	where	where	SCONJ
ejpam-1975	105	54	(	(	PUNCT
ejpam-1975	105	55	f1	f1	NOUN
ejpam-1975	105	56	,	,	PUNCT
ejpam-1975	105	57	e	e	NOUN
ejpam-1975	105	58	)	)	PUNCT
ejpam-1975	105	59	,	,	PUNCT
ejpam-1975	105	60	(	(	PUNCT
ejpam-1975	105	61	f2	f2	PROPN
ejpam-1975	105	62	,	,	PUNCT
ejpam-1975	105	63	e	e	NOUN
ejpam-1975	105	64	)	)	PUNCT
ejpam-1975	105	65	,	,	PUNCT
ejpam-1975	105	66	(	(	PUNCT
ejpam-1975	105	67	f3	f3	ADJ
ejpam-1975	105	68	,	,	PUNCT
ejpam-1975	105	69	e	e	NOUN
ejpam-1975	105	70	)	)	PUNCT
ejpam-1975	105	71	are	be	AUX
ejpam-1975	105	72	soft	soft	ADJ
ejpam-1975	105	73	multisets	multiset	NOUN
ejpam-1975	105	74	over	over	ADP
ejpam-1975	105	75	x	x	PUNCT
ejpam-1975	105	76	,	,	PUNCT
ejpam-1975	105	77	defined	define	VERB
ejpam-1975	105	78	as	as	SCONJ
ejpam-1975	105	79	follows	follow	VERB
ejpam-1975	105	80	f1	f1	PROPN
ejpam-1975	105	81	�	�	PROPN
ejpam-1975	105	82	p	p	PROPN
ejpam-1975	105	83	�	�	PROPN
ejpam-1975	105	84	=	=	SYM
ejpam-1975	105	85	�	�	PROPN
ejpam-1975	105	86	1	1	NUM
ejpam-1975	105	87	/	/	SYM
ejpam-1975	105	88	x	x	SYM
ejpam-1975	105	89	,	,	PUNCT
ejpam-1975	105	90	2	2	NUM
ejpam-1975	105	91	/	/	SYM
ejpam-1975	105	92	y	y	PROPN
ejpam-1975	105	93	,	,	PUNCT
ejpam-1975	105	94	3	3	NUM
ejpam-1975	105	95	/	/	SYM
ejpam-1975	105	96	z	z	NOUN
ejpam-1975	105	97	,	,	PUNCT
ejpam-1975	105	98	f1	f1	PROPN
ejpam-1975	105	99	�	�	PROPN
ejpam-1975	105	100	q	q	PROPN
ejpam-1975	105	101	�	�	PROPN
ejpam-1975	105	102	=	=	SYM
ejpam-1975	105	103	{	{	PUNCT
ejpam-1975	105	104	4	4	NUM
ejpam-1975	105	105	/	/	SYM
ejpam-1975	105	106	w	w	NOUN
ejpam-1975	105	107	}	}	PUNCT
ejpam-1975	105	108	f2	f2	PROPN
ejpam-1975	105	109	�	�	PROPN
ejpam-1975	105	110	p	p	X
ejpam-1975	105	111	�	�	PROPN
ejpam-1975	105	112	=	=	SYM
ejpam-1975	105	113	x	x	SYM
ejpam-1975	105	114	,	,	PUNCT
ejpam-1975	105	115	f2	f2	PROPN
ejpam-1975	105	116	�	�	PROPN
ejpam-1975	105	117	q	q	PROPN
ejpam-1975	105	118	�	�	PROPN
ejpam-1975	105	119	=	=	SYM
ejpam-1975	105	120	�	�	PROPN
ejpam-1975	105	121	1	1	NUM
ejpam-1975	105	122	/	/	SYM
ejpam-1975	105	123	x	x	PROPN
ejpam-1975	105	124	,	,	PUNCT
ejpam-1975	105	125	3	3	X
ejpam-1975	105	126	/	/	SYM
ejpam-1975	105	127	y	y	PROPN
ejpam-1975	105	128	,	,	PUNCT
ejpam-1975	105	129	4	4	NUM
ejpam-1975	105	130	/	/	SYM
ejpam-1975	105	131	z	z	NOUN
ejpam-1975	105	132	,	,	PUNCT
ejpam-1975	105	133	5	5	NUM
ejpam-1975	105	134	/	/	SYM
ejpam-1975	105	135	w	w	PROPN
ejpam-1975	105	136	f3	f3	PROPN
ejpam-1975	105	137	�	�	PROPN
ejpam-1975	105	138	p	p	PROPN
ejpam-1975	105	139	�	�	PROPN
ejpam-1975	105	140	=	=	SYM
ejpam-1975	105	141	�	�	PROPN
ejpam-1975	105	142	2	2	NUM
ejpam-1975	105	143	/	/	SYM
ejpam-1975	105	144	x	x	PROPN
ejpam-1975	105	145	,	,	PUNCT
ejpam-1975	105	146	3	3	X
ejpam-1975	105	147	/	/	SYM
ejpam-1975	105	148	y	y	PROPN
ejpam-1975	105	149	,	,	PUNCT
ejpam-1975	105	150	3	3	NUM
ejpam-1975	105	151	/	/	SYM
ejpam-1975	105	152	z	z	NOUN
ejpam-1975	105	153	,	,	PUNCT
ejpam-1975	105	154	1	1	NUM
ejpam-1975	105	155	/	/	SYM
ejpam-1975	105	156	w	w	NOUN
ejpam-1975	105	157	,	,	PUNCT
ejpam-1975	105	158	f3	f3	PROPN
ejpam-1975	105	159	�	�	PROPN
ejpam-1975	105	160	q	q	PROPN
ejpam-1975	105	161	�	�	PROPN
ejpam-1975	105	162	=	=	SYM
ejpam-1975	105	163	{	{	PUNCT
ejpam-1975	105	164	1	1	NUM
ejpam-1975	105	165	/	/	SYM
ejpam-1975	105	166	x	x	SYM
ejpam-1975	105	167	,	,	PUNCT
ejpam-1975	105	168	4	4	NUM
ejpam-1975	105	169	/	/	SYM
ejpam-1975	105	170	w	w	NOUN
ejpam-1975	105	171	}	}	PUNCT
ejpam-1975	105	172	.	.	PUNCT
ejpam-1975	106	1	then	then	ADV
ejpam-1975	106	2	τ	τ	PROPN
ejpam-1975	106	3	defines	define	VERB
ejpam-1975	106	4	a	a	DET
ejpam-1975	106	5	soft	soft	ADJ
ejpam-1975	106	6	multi	multi	ADJ
ejpam-1975	106	7	topology	topology	NOUN
ejpam-1975	106	8	on	on	ADP
ejpam-1975	106	9	x	x	PUNCT
ejpam-1975	106	10	and	and	CCONJ
ejpam-1975	106	11	hence	hence	ADV
ejpam-1975	106	12	(	(	PUNCT
ejpam-1975	106	13	xe	xe	PROPN
ejpam-1975	106	14	,	,	PUNCT
ejpam-1975	106	15	τ	τ	PROPN
ejpam-1975	106	16	)	)	PUNCT
ejpam-1975	106	17	is	be	AUX
ejpam-1975	106	18	a	a	DET
ejpam-1975	106	19	soft	soft	ADJ
ejpam-1975	106	20	multi	multi	ADJ
ejpam-1975	106	21	topological	topological	ADJ
ejpam-1975	106	22	space	space	NOUN
ejpam-1975	106	23	over	over	ADP
ejpam-1975	106	24	x	x	PROPN
ejpam-1975	106	25	.	.	PUNCT
ejpam-1975	107	1	i̇.	i̇.	PROPN
ejpam-1975	107	2	osmanoğlu	osmanoğlu	PROPN
ejpam-1975	107	3	,	,	PUNCT
ejpam-1975	107	4	d.	d.	PROPN
ejpam-1975	107	5	tokat	tokat	PROPN
ejpam-1975	107	6	/	/	SYM
ejpam-1975	107	7	eur	eur	PROPN
ejpam-1975	107	8	.	.	PUNCT
ejpam-1975	108	1	j.	j.	PROPN
ejpam-1975	108	2	pure	pure	PROPN
ejpam-1975	108	3	appl	appl	PROPN
ejpam-1975	108	4	.	.	PROPN
ejpam-1975	108	5	math	math	PROPN
ejpam-1975	108	6	,	,	PUNCT
ejpam-1975	108	7	7	7	NUM
ejpam-1975	108	8	(	(	PUNCT
ejpam-1975	108	9	2014	2014	NUM
ejpam-1975	108	10	)	)	PUNCT
ejpam-1975	108	11	,	,	PUNCT
ejpam-1975	108	12	97	97	NUM
ejpam-1975	108	13	-	-	SYM
ejpam-1975	108	14	108	108	NUM
ejpam-1975	108	15	101	101	NUM
ejpam-1975	108	16	definition	definition	NOUN
ejpam-1975	108	17	13	13	NUM
ejpam-1975	108	18	.	.	PUNCT
ejpam-1975	109	1	let	let	VERB
ejpam-1975	109	2	(	(	PUNCT
ejpam-1975	109	3	xe	xe	PROPN
ejpam-1975	109	4	,	,	PUNCT
ejpam-1975	109	5	τ1	τ1	PROPN
ejpam-1975	109	6	)	)	PUNCT
ejpam-1975	109	7	and	and	CCONJ
ejpam-1975	109	8	(	(	PUNCT
ejpam-1975	109	9	xe	xe	PROPN
ejpam-1975	109	10	,	,	PUNCT
ejpam-1975	109	11	τ2	τ2	PROPN
ejpam-1975	109	12	)	)	PUNCT
ejpam-1975	109	13	be	be	AUX
ejpam-1975	109	14	soft	soft	ADJ
ejpam-1975	109	15	multi	multi	ADJ
ejpam-1975	109	16	topological	topological	ADJ
ejpam-1975	109	17	spaces	space	NOUN
ejpam-1975	109	18	.	.	PUNCT
ejpam-1975	110	1	then	then	ADV
ejpam-1975	110	2	,	,	PUNCT
ejpam-1975	110	3	the	the	DET
ejpam-1975	110	4	following	follow	VERB
ejpam-1975	110	5	hold	hold	NOUN
ejpam-1975	110	6	.	.	PUNCT
ejpam-1975	111	1	•	•	INTJ
ejpam-1975	111	2	if	if	SCONJ
ejpam-1975	111	3	τ2	τ2	PROPN
ejpam-1975	111	4	⊃	⊃	PROPN
ejpam-1975	111	5	τ1	τ1	NOUN
ejpam-1975	111	6	,	,	PUNCT
ejpam-1975	111	7	then	then	ADV
ejpam-1975	111	8	t2	t2	NOUN
ejpam-1975	111	9	is	be	AUX
ejpam-1975	111	10	soft	soft	ADJ
ejpam-1975	111	11	multi	multi	NOUN
ejpam-1975	111	12	finer	fine	ADJ
ejpam-1975	111	13	than	than	ADP
ejpam-1975	111	14	τ1	τ1	NOUN
ejpam-1975	111	15	.	.	PUNCT
ejpam-1975	112	1	•	•	NOUN
ejpam-1975	112	2	if	if	SCONJ
ejpam-1975	112	3	τ2	τ2	PROPN
ejpam-1975	112	4	⊃	⊃	PROPN
ejpam-1975	112	5	τ1	τ1	NOUN
ejpam-1975	112	6	,	,	PUNCT
ejpam-1975	112	7	then	then	ADV
ejpam-1975	112	8	τ2	τ2	NOUN
ejpam-1975	112	9	is	be	AUX
ejpam-1975	112	10	soft	soft	ADJ
ejpam-1975	112	11	multi	multi	NOUN
ejpam-1975	112	12	strictly	strictly	ADV
ejpam-1975	112	13	finer	fine	ADJ
ejpam-1975	112	14	than	than	ADP
ejpam-1975	112	15	τ1	τ1	NOUN
ejpam-1975	112	16	.	.	PUNCT
ejpam-1975	113	1	•	•	NUM
ejpam-1975	113	2	if	if	SCONJ
ejpam-1975	113	3	either	either	CCONJ
ejpam-1975	113	4	τ2	τ2	ADJ
ejpam-1975	113	5	⊇	⊇	NOUN
ejpam-1975	113	6	τ1	τ1	NOUN
ejpam-1975	113	7	or	or	CCONJ
ejpam-1975	113	8	τ2	τ2	NOUN
ejpam-1975	113	9	⊆	⊆	NUM
ejpam-1975	113	10	τ1	τ1	NOUN
ejpam-1975	113	11	,	,	PUNCT
ejpam-1975	113	12	then	then	ADV
ejpam-1975	113	13	τ1	τ1	NOUN
ejpam-1975	113	14	is	be	AUX
ejpam-1975	113	15	comparable	comparable	ADJ
ejpam-1975	113	16	with	with	ADP
ejpam-1975	113	17	τ2	τ2	PROPN
ejpam-1975	113	18	.	.	PUNCT
ejpam-1975	114	1	definition	definition	NOUN
ejpam-1975	114	2	14	14	NUM
ejpam-1975	114	3	.	.	PUNCT
ejpam-1975	115	1	let	let	VERB
ejpam-1975	115	2	x	x	PRON
ejpam-1975	115	3	be	be	AUX
ejpam-1975	115	4	universal	universal	ADJ
ejpam-1975	115	5	multiset	multiset	VERB
ejpam-1975	115	6	,	,	PUNCT
ejpam-1975	115	7	e	e	X
ejpam-1975	115	8	be	be	VERB
ejpam-1975	115	9	the	the	DET
ejpam-1975	115	10	set	set	NOUN
ejpam-1975	115	11	of	of	ADP
ejpam-1975	115	12	parameters	parameter	NOUN
ejpam-1975	115	13	.	.	PUNCT
ejpam-1975	116	1	•	•	INTJ
ejpam-1975	116	2	let	let	VERB
ejpam-1975	116	3	τ	τ	PROPN
ejpam-1975	116	4	be	be	AUX
ejpam-1975	116	5	the	the	DET
ejpam-1975	116	6	collection	collection	NOUN
ejpam-1975	116	7	of	of	ADP
ejpam-1975	116	8	all	all	DET
ejpam-1975	116	9	soft	soft	ADJ
ejpam-1975	116	10	multisets	multiset	NOUN
ejpam-1975	116	11	which	which	PRON
ejpam-1975	116	12	can	can	AUX
ejpam-1975	116	13	be	be	AUX
ejpam-1975	116	14	defined	define	VERB
ejpam-1975	116	15	over	over	ADP
ejpam-1975	116	16	x	x	X
ejpam-1975	116	17	.	.	PUNCT
ejpam-1975	117	1	then	then	ADV
ejpam-1975	117	2	τ	τ	PROPN
ejpam-1975	117	3	is	be	AUX
ejpam-1975	117	4	called	call	VERB
ejpam-1975	117	5	the	the	DET
ejpam-1975	117	6	soft	soft	ADJ
ejpam-1975	117	7	multi	multi	ADJ
ejpam-1975	117	8	discrete	discrete	ADJ
ejpam-1975	117	9	topology	topology	NOUN
ejpam-1975	117	10	on	on	ADP
ejpam-1975	117	11	x	x	PUNCT
ejpam-1975	117	12	and	and	CCONJ
ejpam-1975	117	13	(	(	PUNCT
ejpam-1975	117	14	xe	xe	PROPN
ejpam-1975	117	15	,	,	PUNCT
ejpam-1975	117	16	τ	τ	PROPN
ejpam-1975	117	17	)	)	PUNCT
ejpam-1975	117	18	is	be	AUX
ejpam-1975	117	19	said	say	VERB
ejpam-1975	117	20	to	to	PART
ejpam-1975	117	21	be	be	AUX
ejpam-1975	117	22	a	a	DET
ejpam-1975	117	23	soft	soft	ADJ
ejpam-1975	117	24	multi	multi	ADJ
ejpam-1975	117	25	discrete	discrete	ADJ
ejpam-1975	117	26	space	space	NOUN
ejpam-1975	117	27	over	over	ADP
ejpam-1975	117	28	x	x	PROPN
ejpam-1975	117	29	.	.	PUNCT
ejpam-1975	118	1	•	•	NUM
ejpam-1975	118	2	τ	τ	X
ejpam-1975	118	3	=	=	SYM
ejpam-1975	118	4	{	{	PUNCT
ejpam-1975	118	5	φ	φ	PROPN
ejpam-1975	118	6	,	,	PUNCT
ejpam-1975	118	7	x̃	x̃	PROPN
ejpam-1975	118	8	}	}	PUNCT
ejpam-1975	118	9	is	be	AUX
ejpam-1975	118	10	called	call	VERB
ejpam-1975	118	11	the	the	DET
ejpam-1975	118	12	soft	soft	ADJ
ejpam-1975	118	13	multi	multi	ADJ
ejpam-1975	118	14	indiscrete	indiscrete	ADJ
ejpam-1975	118	15	topology	topology	NOUN
ejpam-1975	118	16	on	on	ADP
ejpam-1975	118	17	x	x	PUNCT
ejpam-1975	118	18	and	and	CCONJ
ejpam-1975	118	19	(	(	PUNCT
ejpam-1975	118	20	xe	xe	PROPN
ejpam-1975	118	21	,	,	PUNCT
ejpam-1975	118	22	τ	τ	PROPN
ejpam-1975	118	23	)	)	PUNCT
ejpam-1975	118	24	is	be	AUX
ejpam-1975	118	25	said	say	VERB
ejpam-1975	118	26	to	to	PART
ejpam-1975	118	27	be	be	AUX
ejpam-1975	118	28	a	a	DET
ejpam-1975	118	29	soft	soft	ADJ
ejpam-1975	118	30	indiscrete	indiscrete	ADJ
ejpam-1975	118	31	space	space	NOUN
ejpam-1975	118	32	over	over	ADP
ejpam-1975	118	33	x	x	PROPN
ejpam-1975	118	34	.	.	PUNCT
ejpam-1975	119	1	definition	definition	NOUN
ejpam-1975	119	2	15	15	NUM
ejpam-1975	119	3	.	.	PUNCT
ejpam-1975	120	1	let	let	VERB
ejpam-1975	120	2	(	(	PUNCT
ejpam-1975	120	3	xe	xe	PROPN
ejpam-1975	120	4	,	,	PUNCT
ejpam-1975	120	5	τ	τ	PROPN
ejpam-1975	120	6	)	)	PUNCT
ejpam-1975	120	7	be	be	VERB
ejpam-1975	120	8	a	a	DET
ejpam-1975	120	9	soft	soft	ADJ
ejpam-1975	120	10	multi	multi	ADJ
ejpam-1975	120	11	topological	topological	ADJ
ejpam-1975	120	12	space	space	NOUN
ejpam-1975	120	13	over	over	ADP
ejpam-1975	120	14	x	x	PUNCT
ejpam-1975	120	15	and	and	CCONJ
ejpam-1975	120	16	y	y	PROPN
ejpam-1975	120	17	be	be	AUX
ejpam-1975	120	18	a	a	DET
ejpam-1975	120	19	non	non	ADJ
ejpam-1975	120	20	-	-	ADJ
ejpam-1975	120	21	empty	empty	ADJ
ejpam-1975	120	22	subset	subset	NOUN
ejpam-1975	120	23	of	of	ADP
ejpam-1975	120	24	x	x	X
ejpam-1975	120	25	.	.	PUNCT
ejpam-1975	121	1	then	then	ADV
ejpam-1975	121	2	τy	τy	ADV
ejpam-1975	121	3	=	=	SYM
ejpam-1975	121	4	{	{	PUNCT
ejpam-1975	121	5	(	(	PUNCT
ejpam-1975	121	6	y	y	PROPN
ejpam-1975	121	7	f	f	PROPN
ejpam-1975	121	8	,	,	PUNCT
ejpam-1975	121	9	e	e	NOUN
ejpam-1975	121	10	)	)	PUNCT
ejpam-1975	121	11	:	:	PUNCT
ejpam-1975	121	12	(	(	PUNCT
ejpam-1975	121	13	f	f	X
ejpam-1975	121	14	,	,	PUNCT
ejpam-1975	121	15	e	e	NOUN
ejpam-1975	121	16	)	)	PUNCT
ejpam-1975	121	17	∈	∈	PROPN
ejpam-1975	121	18	τ	τ	PROPN
ejpam-1975	121	19	}	}	PUNCT
ejpam-1975	121	20	is	be	AUX
ejpam-1975	121	21	said	say	VERB
ejpam-1975	121	22	to	to	PART
ejpam-1975	121	23	be	be	AUX
ejpam-1975	121	24	the	the	DET
ejpam-1975	121	25	soft	soft	ADJ
ejpam-1975	121	26	multi	multi	ADJ
ejpam-1975	121	27	topology	topology	NOUN
ejpam-1975	121	28	on	on	ADP
ejpam-1975	121	29	y	y	PROPN
ejpam-1975	121	30	and	and	CCONJ
ejpam-1975	121	31	(	(	PUNCT
ejpam-1975	121	32	ye	ye	INTJ
ejpam-1975	121	33	,	,	PUNCT
ejpam-1975	121	34	τy	τy	X
ejpam-1975	121	35	)	)	PUNCT
ejpam-1975	121	36	is	be	AUX
ejpam-1975	121	37	called	call	VERB
ejpam-1975	121	38	a	a	DET
ejpam-1975	121	39	soft	soft	ADJ
ejpam-1975	121	40	multi	multi	ADJ
ejpam-1975	121	41	subspace	subspace	NOUN
ejpam-1975	121	42	of	of	ADP
ejpam-1975	121	43	(	(	PUNCT
ejpam-1975	121	44	xe	xe	PROPN
ejpam-1975	121	45	,	,	PUNCT
ejpam-1975	121	46	τ	τ	PROPN
ejpam-1975	121	47	)	)	PUNCT
ejpam-1975	121	48	.	.	PUNCT
ejpam-1975	122	1	we	we	PRON
ejpam-1975	122	2	can	can	AUX
ejpam-1975	122	3	easily	easily	ADV
ejpam-1975	122	4	verify	verify	VERB
ejpam-1975	122	5	that	that	SCONJ
ejpam-1975	122	6	τy	τy	VERB
ejpam-1975	122	7	is	be	AUX
ejpam-1975	122	8	,	,	PUNCT
ejpam-1975	122	9	in	in	ADP
ejpam-1975	122	10	fact	fact	NOUN
ejpam-1975	122	11	,	,	PUNCT
ejpam-1975	122	12	a	a	DET
ejpam-1975	122	13	soft	soft	ADJ
ejpam-1975	122	14	multi	multi	ADJ
ejpam-1975	122	15	topology	topology	NOUN
ejpam-1975	122	16	on	on	ADP
ejpam-1975	122	17	y	y	PROPN
ejpam-1975	122	18	.	.	PUNCT
ejpam-1975	123	1	3	3	X
ejpam-1975	123	2	.	.	X
ejpam-1975	123	3	soft	soft	ADJ
ejpam-1975	123	4	multi	multi	ADJ
ejpam-1975	123	5	function	function	NOUN
ejpam-1975	123	6	in	in	ADP
ejpam-1975	123	7	this	this	DET
ejpam-1975	123	8	section	section	NOUN
ejpam-1975	123	9	,	,	PUNCT
ejpam-1975	123	10	we	we	PRON
ejpam-1975	123	11	defined	define	VERB
ejpam-1975	123	12	soft	soft	ADJ
ejpam-1975	123	13	multi	multi	ADJ
ejpam-1975	123	14	function	function	NOUN
ejpam-1975	123	15	and	and	CCONJ
ejpam-1975	123	16	examined	examine	VERB
ejpam-1975	123	17	its	its	PRON
ejpam-1975	123	18	basic	basic	ADJ
ejpam-1975	123	19	theorems	theorem	NOUN
ejpam-1975	123	20	.	.	PUNCT
ejpam-1975	124	1	definition	definition	NOUN
ejpam-1975	124	2	16	16	NUM
ejpam-1975	124	3	.	.	PUNCT
ejpam-1975	125	1	let	let	VERB
ejpam-1975	125	2	xe	xe	PROPN
ejpam-1975	125	3	and	and	CCONJ
ejpam-1975	125	4	yk	yk	PROPN
ejpam-1975	125	5	be	be	AUX
ejpam-1975	125	6	two	two	NUM
ejpam-1975	125	7	soft	soft	ADJ
ejpam-1975	125	8	multi	multi	ADJ
ejpam-1975	125	9	class	class	NOUN
ejpam-1975	125	10	.	.	PUNCT
ejpam-1975	126	1	let	let	VERB
ejpam-1975	126	2	ϕ	ϕ	NOUN
ejpam-1975	126	3	:	:	PUNCT
ejpam-1975	126	4	x	x	SYM
ejpam-1975	126	5	∗	∗	NOUN
ejpam-1975	126	6	→	→	SYM
ejpam-1975	126	7	y	y	PROPN
ejpam-1975	126	8	∗	∗	NOUN
ejpam-1975	126	9	and	and	CCONJ
ejpam-1975	126	10	ψ	ψ	X
ejpam-1975	126	11	:	:	PUNCT
ejpam-1975	126	12	e	e	X
ejpam-1975	126	13	→	→	SYM
ejpam-1975	126	14	k	k	X
ejpam-1975	126	15	be	be	AUX
ejpam-1975	126	16	two	two	NUM
ejpam-1975	126	17	functions	function	NOUN
ejpam-1975	126	18	.	.	PUNCT
ejpam-1975	127	1	then	then	ADV
ejpam-1975	127	2	the	the	DET
ejpam-1975	127	3	pair	pair	NOUN
ejpam-1975	127	4	(	(	PUNCT
ejpam-1975	127	5	ϕ,ψ	ϕ,ψ	NOUN
ejpam-1975	127	6	)	)	PUNCT
ejpam-1975	127	7	is	be	AUX
ejpam-1975	127	8	called	call	VERB
ejpam-1975	127	9	a	a	DET
ejpam-1975	127	10	soft	soft	ADJ
ejpam-1975	127	11	multi	multi	ADJ
ejpam-1975	127	12	function	function	NOUN
ejpam-1975	127	13	and	and	CCONJ
ejpam-1975	127	14	denoted	denote	VERB
ejpam-1975	127	15	by	by	ADP
ejpam-1975	127	16	f	f	PROPN
ejpam-1975	127	17	=	=	SYM
ejpam-1975	127	18	(	(	PUNCT
ejpam-1975	127	19	ϕ,ψ	ϕ,ψ	PROPN
ejpam-1975	127	20	)	)	PUNCT
ejpam-1975	127	21	:	:	PUNCT
ejpam-1975	127	22	xe	xe	PROPN
ejpam-1975	127	23	→	→	SYM
ejpam-1975	127	24	yk	yk	PROPN
ejpam-1975	127	25	is	be	AUX
ejpam-1975	127	26	defined	define	VERB
ejpam-1975	127	27	as	as	SCONJ
ejpam-1975	127	28	follows	follow	VERB
ejpam-1975	127	29	:	:	PUNCT
ejpam-1975	127	30	let	let	VERB
ejpam-1975	127	31	(	(	PUNCT
ejpam-1975	127	32	f	f	X
ejpam-1975	127	33	,	,	PUNCT
ejpam-1975	127	34	e	e	NOUN
ejpam-1975	127	35	)	)	PUNCT
ejpam-1975	127	36	be	be	AUX
ejpam-1975	127	37	a	a	DET
ejpam-1975	127	38	soft	soft	ADJ
ejpam-1975	127	39	multiset	multiset	NOUN
ejpam-1975	127	40	in	in	ADP
ejpam-1975	127	41	xe	xe	PROPN
ejpam-1975	127	42	.	.	PUNCT
ejpam-1975	128	1	then	then	ADV
ejpam-1975	128	2	the	the	DET
ejpam-1975	128	3	image	image	NOUN
ejpam-1975	128	4	of	of	ADP
ejpam-1975	128	5	(	(	PUNCT
ejpam-1975	128	6	f	f	X
ejpam-1975	128	7	,	,	PUNCT
ejpam-1975	128	8	e	e	NOUN
ejpam-1975	128	9	)	)	PUNCT
ejpam-1975	128	10	under	under	ADP
ejpam-1975	128	11	soft	soft	ADJ
ejpam-1975	128	12	multi	multi	ADJ
ejpam-1975	128	13	function	function	NOUN
ejpam-1975	128	14	f	f	PROPN
ejpam-1975	128	15	is	be	AUX
ejpam-1975	128	16	soft	soft	ADJ
ejpam-1975	128	17	multiset	multiset	VERB
ejpam-1975	128	18	in	in	ADP
ejpam-1975	128	19	yk	yk	NOUN
ejpam-1975	128	20	defined	define	VERB
ejpam-1975	128	21	by	by	ADP
ejpam-1975	128	22	f	f	PROPN
ejpam-1975	128	23	(	(	PUNCT
ejpam-1975	128	24	f	f	X
ejpam-1975	128	25	,	,	PUNCT
ejpam-1975	128	26	e	e	NOUN
ejpam-1975	128	27	)	)	PUNCT
ejpam-1975	128	28	,	,	PUNCT
ejpam-1975	128	29	where	where	SCONJ
ejpam-1975	128	30	for	for	ADP
ejpam-1975	128	31	k	k	PROPN
ejpam-1975	128	32	∈ψ(e)⊆	∈ψ(e)⊆	PROPN
ejpam-1975	128	33	k	k	PROPN
ejpam-1975	128	34	and	and	CCONJ
ejpam-1975	128	35	y	y	PROPN
ejpam-1975	128	36	∈	∈	PROPN
ejpam-1975	128	37	y	y	PROPN
ejpam-1975	128	38	∗	∗	NOUN
ejpam-1975	128	39	,	,	PUNCT
ejpam-1975	128	40	c	c	PROPN
ejpam-1975	128	41	f	f	PROPN
ejpam-1975	128	42	(	(	PUNCT
ejpam-1975	128	43	f	f	X
ejpam-1975	128	44	,	,	PUNCT
ejpam-1975	128	45	e)(k)(y	e)(k)(y	PROPN
ejpam-1975	128	46	)	)	PUNCT
ejpam-1975	128	47	=	=	PUNCT
ejpam-1975	129	1			NOUN
ejpam-1975	129	2			PRON
ejpam-1975	129	3			ADJ
ejpam-1975	129	4	sup	sup	NOUN
ejpam-1975	129	5	e∈ψ−1(k)∩e	e∈ψ−1(k)∩e	PROPN
ejpam-1975	129	6	,	,	PUNCT
ejpam-1975	129	7	x∈ϕ−1(y	x∈ϕ−1(y	PROPN
ejpam-1975	129	8	)	)	PUNCT
ejpam-1975	129	9	cf(e	cf(e	PROPN
ejpam-1975	129	10	)	)	PUNCT
ejpam-1975	129	11	(	(	PUNCT
ejpam-1975	129	12	x	x	X
ejpam-1975	129	13	)	)	PUNCT
ejpam-1975	129	14	,	,	PUNCT
ejpam-1975	129	15	if	if	SCONJ
ejpam-1975	129	16	ψ−1(k	ψ−1(k	NOUN
ejpam-1975	129	17	)	)	PUNCT
ejpam-1975	129	18	6=	6=	PUNCT
ejpam-1975	129	19	;	;	PUNCT
ejpam-1975	129	20	,	,	PUNCT
ejpam-1975	129	21	ϕ−1(y	ϕ−1(y	PROPN
ejpam-1975	129	22	)	)	PUNCT
ejpam-1975	129	23	6=	6=	NUM
ejpam-1975	129	24	;	;	PUNCT
ejpam-1975	129	25	;	;	PUNCT
ejpam-1975	129	26	0	0	X
ejpam-1975	129	27	,	,	PUNCT
ejpam-1975	129	28	otherwise	otherwise	ADV
ejpam-1975	129	29	.	.	PUNCT
ejpam-1975	130	1	let	let	AUX
ejpam-1975	130	2	(	(	PUNCT
ejpam-1975	130	3	g	g	NOUN
ejpam-1975	130	4	,	,	PUNCT
ejpam-1975	130	5	k	k	NOUN
ejpam-1975	130	6	)	)	PUNCT
ejpam-1975	130	7	be	be	AUX
ejpam-1975	130	8	a	a	DET
ejpam-1975	130	9	soft	soft	ADJ
ejpam-1975	130	10	multiset	multiset	NOUN
ejpam-1975	130	11	in	in	ADP
ejpam-1975	130	12	yk	yk	PROPN
ejpam-1975	130	13	.	.	PUNCT
ejpam-1975	131	1	then	then	ADV
ejpam-1975	131	2	the	the	DET
ejpam-1975	131	3	inverse	inverse	ADJ
ejpam-1975	131	4	image	image	NOUN
ejpam-1975	131	5	of	of	ADP
ejpam-1975	131	6	(	(	PUNCT
ejpam-1975	131	7	g	g	PROPN
ejpam-1975	131	8	,	,	PUNCT
ejpam-1975	131	9	k	k	NOUN
ejpam-1975	131	10	)	)	PUNCT
ejpam-1975	131	11	under	under	ADP
ejpam-1975	131	12	soft	soft	ADJ
ejpam-1975	131	13	multi	multi	ADJ
ejpam-1975	131	14	function	function	NOUN
ejpam-1975	131	15	f	f	PROPN
ejpam-1975	131	16	is	be	AUX
ejpam-1975	131	17	soft	soft	ADJ
ejpam-1975	131	18	multiset	multiset	VERB
ejpam-1975	131	19	in	in	ADP
ejpam-1975	131	20	xe	xe	PROPN
ejpam-1975	131	21	defined	define	VERB
ejpam-1975	131	22	by	by	ADP
ejpam-1975	131	23	f	f	PROPN
ejpam-1975	131	24	−1	−1	NOUN
ejpam-1975	131	25	(	(	PUNCT
ejpam-1975	131	26	g	g	PROPN
ejpam-1975	131	27	,	,	PUNCT
ejpam-1975	131	28	k	k	NOUN
ejpam-1975	131	29	)	)	PUNCT
ejpam-1975	131	30	,	,	PUNCT
ejpam-1975	131	31	where	where	SCONJ
ejpam-1975	131	32	for	for	ADP
ejpam-1975	131	33	e	e	PROPN
ejpam-1975	131	34	∈ψ−1(k)⊆	∈ψ−1(k)⊆	PROPN
ejpam-1975	131	35	e	e	PROPN
ejpam-1975	131	36	and	and	CCONJ
ejpam-1975	131	37	x	x	SYM
ejpam-1975	131	38	∈	∈	NOUN
ejpam-1975	131	39	x	x	PUNCT
ejpam-1975	131	40	∗	∗	NOUN
ejpam-1975	131	41	,	,	PUNCT
ejpam-1975	131	42	c	c	PROPN
ejpam-1975	131	43	f	f	PROPN
ejpam-1975	131	44	−1(g	−1(g	PROPN
ejpam-1975	131	45	,	,	PUNCT
ejpam-1975	131	46	k)(e)(x	k)(e)(x	PROPN
ejpam-1975	131	47	)	)	PUNCT
ejpam-1975	131	48	=	=	SYM
ejpam-1975	131	49	cg(ψ(e	cg(ψ(e	NOUN
ejpam-1975	131	50	)	)	PUNCT
ejpam-1975	131	51	)	)	PUNCT
ejpam-1975	131	52	�	�	PROPN
ejpam-1975	131	53	ϕ(x	ϕ(x	PROPN
ejpam-1975	131	54	)	)	PUNCT
ejpam-1975	131	55	�	�	PROPN
ejpam-1975	131	56	.	.	PUNCT
ejpam-1975	132	1	i̇.	i̇.	PROPN
ejpam-1975	132	2	osmanoğlu	osmanoğlu	PROPN
ejpam-1975	132	3	,	,	PUNCT
ejpam-1975	132	4	d.	d.	PROPN
ejpam-1975	132	5	tokat	tokat	PROPN
ejpam-1975	132	6	/	/	SYM
ejpam-1975	132	7	eur	eur	PROPN
ejpam-1975	132	8	.	.	PUNCT
ejpam-1975	133	1	j.	j.	PROPN
ejpam-1975	133	2	pure	pure	PROPN
ejpam-1975	133	3	appl	appl	PROPN
ejpam-1975	133	4	.	.	PROPN
ejpam-1975	133	5	math	math	PROPN
ejpam-1975	133	6	,	,	PUNCT
ejpam-1975	133	7	7	7	NUM
ejpam-1975	133	8	(	(	PUNCT
ejpam-1975	133	9	2014	2014	NUM
ejpam-1975	133	10	)	)	PUNCT
ejpam-1975	133	11	,	,	PUNCT
ejpam-1975	133	12	97	97	NUM
ejpam-1975	133	13	-	-	SYM
ejpam-1975	133	14	108	108	NUM
ejpam-1975	133	15	102	102	NUM
ejpam-1975	133	16	example	example	NOUN
ejpam-1975	133	17	4	4	NUM
ejpam-1975	133	18	.	.	PUNCT
ejpam-1975	134	1	let	let	VERB
ejpam-1975	134	2	x	x	PUNCT
ejpam-1975	134	3	=	=	PUNCT
ejpam-1975	134	4	{	{	PUNCT
ejpam-1975	134	5	2	2	NUM
ejpam-1975	134	6	/	/	SYM
ejpam-1975	134	7	a	a	PRON
ejpam-1975	134	8	,	,	PUNCT
ejpam-1975	134	9	3	3	NUM
ejpam-1975	134	10	/	/	SYM
ejpam-1975	134	11	b	b	NOUN
ejpam-1975	134	12	,	,	PUNCT
ejpam-1975	134	13	4	4	NUM
ejpam-1975	134	14	/	/	SYM
ejpam-1975	134	15	c	c	NOUN
ejpam-1975	134	16	,	,	PUNCT
ejpam-1975	134	17	5	5	NUM
ejpam-1975	134	18	/	/	SYM
ejpam-1975	134	19	d	d	NOUN
ejpam-1975	134	20	}	}	PUNCT
ejpam-1975	134	21	,	,	PUNCT
ejpam-1975	134	22	y	y	PROPN
ejpam-1975	134	23	=	=	SYM
ejpam-1975	134	24	�	�	PROPN
ejpam-1975	134	25	5	5	NUM
ejpam-1975	134	26	/	/	SYM
ejpam-1975	134	27	x	x	NOUN
ejpam-1975	134	28	,	,	PUNCT
ejpam-1975	134	29	4	4	NUM
ejpam-1975	134	30	/	/	SYM
ejpam-1975	134	31	y	y	PROPN
ejpam-1975	134	32	,	,	PUNCT
ejpam-1975	134	33	3	3	NUM
ejpam-1975	134	34	/	/	SYM
ejpam-1975	134	35	z	z	NOUN
ejpam-1975	134	36	,	,	PUNCT
ejpam-1975	134	37	2	2	NUM
ejpam-1975	134	38	/	/	SYM
ejpam-1975	134	39	w	w	NOUN
ejpam-1975	134	40	,	,	PUNCT
ejpam-1975	134	41	e	e	X
ejpam-1975	134	42	=	=	SYM
ejpam-1975	134	43	�	�	PROPN
ejpam-1975	134	44	e1	e1	PROPN
ejpam-1975	134	45	,	,	PUNCT
ejpam-1975	134	46	e2	e2	PROPN
ejpam-1975	134	47	,	,	PUNCT
ejpam-1975	134	48	e3	e3	NOUN
ejpam-1975	134	49	,	,	PUNCT
ejpam-1975	134	50	e4	e4	PROPN
ejpam-1975	134	51	,	,	PUNCT
ejpam-1975	134	52	k	k	PROPN
ejpam-1975	134	53	=	=	SYM
ejpam-1975	134	54	�	�	PROPN
ejpam-1975	134	55	k1	k1	PROPN
ejpam-1975	134	56	,	,	PUNCT
ejpam-1975	134	57	k2	k2	NOUN
ejpam-1975	134	58	,	,	PUNCT
ejpam-1975	134	59	k3	k3	VERB
ejpam-1975	134	60	and	and	CCONJ
ejpam-1975	134	61	xe	xe	PROPN
ejpam-1975	134	62	,	,	PUNCT
ejpam-1975	134	63	yk	yk	PROPN
ejpam-1975	134	64	,	,	PUNCT
ejpam-1975	134	65	classes	class	NOUN
ejpam-1975	134	66	of	of	ADP
ejpam-1975	134	67	soft	soft	ADJ
ejpam-1975	134	68	multisets	multiset	NOUN
ejpam-1975	134	69	.	.	PUNCT
ejpam-1975	135	1	let	let	VERB
ejpam-1975	135	2	ϕ	ϕ	NOUN
ejpam-1975	135	3	:	:	PUNCT
ejpam-1975	135	4	x	x	SYM
ejpam-1975	135	5	∗	∗	NOUN
ejpam-1975	135	6	→	→	SYM
ejpam-1975	135	7	y	y	PROPN
ejpam-1975	135	8	∗	∗	NOUN
ejpam-1975	135	9	and	and	CCONJ
ejpam-1975	135	10	ψ	ψ	X
ejpam-1975	135	11	:	:	PUNCT
ejpam-1975	135	12	e	e	X
ejpam-1975	135	13	→	→	SYM
ejpam-1975	135	14	k	k	X
ejpam-1975	135	15	be	be	AUX
ejpam-1975	135	16	two	two	NUM
ejpam-1975	135	17	function	function	NOUN
ejpam-1975	135	18	defined	define	VERB
ejpam-1975	135	19	as	as	ADP
ejpam-1975	135	20	ϕ(a	ϕ(a	NOUN
ejpam-1975	135	21	)	)	PUNCT
ejpam-1975	136	1	=	=	SYM
ejpam-1975	136	2	z	z	X
ejpam-1975	136	3	,	,	PUNCT
ejpam-1975	136	4	ϕ(b	ϕ(b	PROPN
ejpam-1975	136	5	)	)	PUNCT
ejpam-1975	136	6	=	=	SYM
ejpam-1975	136	7	y	y	PROPN
ejpam-1975	136	8	,	,	PUNCT
ejpam-1975	136	9	ϕ(c	ϕ(c	PROPN
ejpam-1975	136	10	)	)	PUNCT
ejpam-1975	136	11	=	=	SYM
ejpam-1975	136	12	y	y	PROPN
ejpam-1975	136	13	,	,	PUNCT
ejpam-1975	136	14	ϕ(d	ϕ(d	PUNCT
ejpam-1975	136	15	)	)	PUNCT
ejpam-1975	136	16	=	=	SYM
ejpam-1975	136	17	x	x	X
ejpam-1975	136	18	,	,	PUNCT
ejpam-1975	136	19	ψ(e1	ψ(e1	NOUN
ejpam-1975	136	20	)	)	PUNCT
ejpam-1975	136	21	=	=	SYM
ejpam-1975	136	22	k1	k1	X
ejpam-1975	136	23	,	,	PUNCT
ejpam-1975	136	24	ψ(e2	ψ(e2	NOUN
ejpam-1975	136	25	)	)	PUNCT
ejpam-1975	137	1	=	=	PRON
ejpam-1975	137	2	k3	k3	PROPN
ejpam-1975	137	3	,	,	PUNCT
ejpam-1975	137	4	ψ(e3	ψ(e3	ADJ
ejpam-1975	137	5	)	)	PUNCT
ejpam-1975	137	6	=	=	SYM
ejpam-1975	137	7	k2	k2	ADJ
ejpam-1975	137	8	,	,	PUNCT
ejpam-1975	137	9	ψ(e4	ψ(e4	NOUN
ejpam-1975	137	10	)	)	PUNCT
ejpam-1975	137	11	=	=	SYM
ejpam-1975	137	12	k1	k1	PROPN
ejpam-1975	137	13	.	.	PUNCT
ejpam-1975	138	1	choose	choose	VERB
ejpam-1975	138	2	two	two	NUM
ejpam-1975	138	3	soft	soft	ADJ
ejpam-1975	138	4	multisets	multiset	NOUN
ejpam-1975	138	5	in	in	ADP
ejpam-1975	138	6	xe	xe	PROPN
ejpam-1975	138	7	and	and	CCONJ
ejpam-1975	138	8	yk	yk	PROPN
ejpam-1975	138	9	,	,	PUNCT
ejpam-1975	138	10	respectively	respectively	ADV
ejpam-1975	138	11	,	,	PUNCT
ejpam-1975	138	12	as	as	ADP
ejpam-1975	138	13	(	(	PUNCT
ejpam-1975	138	14	f	f	X
ejpam-1975	138	15	,	,	PUNCT
ejpam-1975	138	16	a	a	X
ejpam-1975	138	17	)	)	PUNCT
ejpam-1975	138	18	=	=	NOUN
ejpam-1975	138	19	{	{	PUNCT
ejpam-1975	138	20	e1	e1	NOUN
ejpam-1975	138	21	=	=	SYM
ejpam-1975	138	22	{	{	PUNCT
ejpam-1975	138	23	1	1	NUM
ejpam-1975	138	24	/	/	SYM
ejpam-1975	138	25	a	a	PRON
ejpam-1975	138	26	,	,	PUNCT
ejpam-1975	138	27	2	2	NUM
ejpam-1975	138	28	/	/	SYM
ejpam-1975	138	29	b	b	NOUN
ejpam-1975	138	30	,	,	PUNCT
ejpam-1975	138	31	1	1	NUM
ejpam-1975	138	32	/	/	SYM
ejpam-1975	138	33	d	d	NOUN
ejpam-1975	138	34	}	}	PUNCT
ejpam-1975	138	35	,	,	PUNCT
ejpam-1975	138	36	e3	e3	NOUN
ejpam-1975	138	37	=	=	SYM
ejpam-1975	138	38	{	{	PUNCT
ejpam-1975	138	39	3	3	NUM
ejpam-1975	138	40	/	/	SYM
ejpam-1975	138	41	b	b	NOUN
ejpam-1975	138	42	,	,	PUNCT
ejpam-1975	138	43	2	2	NUM
ejpam-1975	138	44	/	/	SYM
ejpam-1975	138	45	c	c	NOUN
ejpam-1975	138	46	,	,	PUNCT
ejpam-1975	138	47	1	1	NUM
ejpam-1975	138	48	/	/	SYM
ejpam-1975	138	49	d	d	NOUN
ejpam-1975	138	50	}	}	PUNCT
ejpam-1975	138	51	,	,	PUNCT
ejpam-1975	138	52	e4	e4	PROPN
ejpam-1975	138	53	=	=	SYM
ejpam-1975	138	54	{	{	PUNCT
ejpam-1975	138	55	2	2	NUM
ejpam-1975	138	56	/	/	SYM
ejpam-1975	138	57	a	a	PRON
ejpam-1975	138	58	,	,	PUNCT
ejpam-1975	138	59	5	5	NUM
ejpam-1975	138	60	/	/	SYM
ejpam-1975	138	61	d	d	NOUN
ejpam-1975	138	62	}	}	PUNCT
ejpam-1975	138	63	}	}	PUNCT
ejpam-1975	138	64	,	,	PUNCT
ejpam-1975	138	65	(	(	PUNCT
ejpam-1975	138	66	g	g	NOUN
ejpam-1975	138	67	,	,	PUNCT
ejpam-1975	138	68	b	b	NOUN
ejpam-1975	138	69	)	)	PUNCT
ejpam-1975	138	70	=	=	NOUN
ejpam-1975	138	71	{	{	PUNCT
ejpam-1975	138	72	k1	k1	NOUN
ejpam-1975	138	73	=	=	SYM
ejpam-1975	138	74	{	{	PUNCT
ejpam-1975	138	75	4	4	NUM
ejpam-1975	138	76	/	/	SYM
ejpam-1975	138	77	x	x	SYM
ejpam-1975	138	78	,	,	PUNCT
ejpam-1975	138	79	2	2	NUM
ejpam-1975	138	80	/	/	SYM
ejpam-1975	138	81	w	w	NOUN
ejpam-1975	138	82	}	}	PUNCT
ejpam-1975	138	83	,	,	PUNCT
ejpam-1975	138	84	k2	k2	NOUN
ejpam-1975	138	85	=	=	PUNCT
ejpam-1975	138	86	{	{	PUNCT
ejpam-1975	138	87	1	1	NUM
ejpam-1975	138	88	/	/	SYM
ejpam-1975	138	89	x	x	SYM
ejpam-1975	138	90	,	,	PUNCT
ejpam-1975	138	91	1	1	NUM
ejpam-1975	138	92	/	/	SYM
ejpam-1975	138	93	y	y	PROPN
ejpam-1975	138	94	,	,	PUNCT
ejpam-1975	138	95	2	2	NUM
ejpam-1975	138	96	/	/	SYM
ejpam-1975	138	97	z	z	NOUN
ejpam-1975	138	98	,	,	PUNCT
ejpam-1975	138	99	2	2	NUM
ejpam-1975	138	100	/	/	SYM
ejpam-1975	138	101	w	w	NOUN
ejpam-1975	138	102	}	}	PUNCT
ejpam-1975	138	103	}	}	PUNCT
ejpam-1975	138	104	then	then	ADV
ejpam-1975	138	105	soft	soft	ADJ
ejpam-1975	138	106	multiset	multiset	ADJ
ejpam-1975	138	107	image	image	NOUN
ejpam-1975	138	108	of	of	ADP
ejpam-1975	138	109	(	(	PUNCT
ejpam-1975	138	110	f	f	X
ejpam-1975	138	111	,	,	PUNCT
ejpam-1975	138	112	a	a	NOUN
ejpam-1975	138	113	)	)	PUNCT
ejpam-1975	138	114	under	under	ADP
ejpam-1975	138	115	f	f	PROPN
ejpam-1975	138	116	:	:	PUNCT
ejpam-1975	138	117	xe	xe	PROPN
ejpam-1975	138	118	→	→	SYM
ejpam-1975	138	119	yk	yk	PROPN
ejpam-1975	138	120	is	be	AUX
ejpam-1975	138	121	obtained	obtain	VERB
ejpam-1975	138	122	as	as	ADP
ejpam-1975	138	123	c	c	PROPN
ejpam-1975	138	124	f	f	PROPN
ejpam-1975	138	125	(	(	PUNCT
ejpam-1975	138	126	f	f	PROPN
ejpam-1975	138	127	,	,	PUNCT
ejpam-1975	138	128	a)(k1)(x	a)(k1)(x	NOUN
ejpam-1975	138	129	)	)	PUNCT
ejpam-1975	138	130	=	=	PUNCT
ejpam-1975	139	1			NOUN
ejpam-1975	139	2			PRON
ejpam-1975	139	3			ADJ
ejpam-1975	139	4	sup	sup	NOUN
ejpam-1975	139	5	e∈ψ−1(k1)∩a	e∈ψ−1(k1)∩a	NOUN
ejpam-1975	139	6	,	,	PUNCT
ejpam-1975	139	7	a∈ϕ−1(x	a∈ϕ−1(x	NOUN
ejpam-1975	139	8	)	)	PUNCT
ejpam-1975	139	9	cf(e	cf(e	X
ejpam-1975	139	10	)	)	PUNCT
ejpam-1975	139	11	(	(	PUNCT
ejpam-1975	139	12	a	a	X
ejpam-1975	139	13	)	)	PUNCT
ejpam-1975	139	14	,	,	PUNCT
ejpam-1975	139	15	if	if	SCONJ
ejpam-1975	139	16	ψ−1(k1	ψ−1(k1	PRON
ejpam-1975	139	17	)	)	PUNCT
ejpam-1975	139	18	6=	6=	NUM
ejpam-1975	139	19	;	;	PUNCT
ejpam-1975	139	20	,	,	PUNCT
ejpam-1975	139	21	ϕ−1(x	ϕ−1(x	PROPN
ejpam-1975	139	22	)	)	PUNCT
ejpam-1975	139	23	6=	6=	NUM
ejpam-1975	139	24	;	;	PUNCT
ejpam-1975	139	25	;	;	PUNCT
ejpam-1975	139	26	0	0	X
ejpam-1975	139	27	,	,	PUNCT
ejpam-1975	139	28	otherwise	otherwise	ADV
ejpam-1975	139	29	.	.	PUNCT
ejpam-1975	140	1	=	=	PUNCT
ejpam-1975	140	2			PROPN
ejpam-1975	140	3			PRON
ejpam-1975	140	4			ADJ
ejpam-1975	140	5	sup	sup	NOUN
ejpam-1975	140	6	e∈{e1,e4},a∈{d	e∈{e1,e4},a∈{d	NOUN
ejpam-1975	140	7	}	}	PUNCT
ejpam-1975	140	8	cf(e	cf(e	X
ejpam-1975	140	9	)	)	PUNCT
ejpam-1975	140	10	(	(	PUNCT
ejpam-1975	140	11	a	a	X
ejpam-1975	140	12	)	)	PUNCT
ejpam-1975	140	13	,	,	PUNCT
ejpam-1975	140	14	if	if	SCONJ
ejpam-1975	140	15	ψ−1(k1	ψ−1(k1	PRON
ejpam-1975	140	16	)	)	PUNCT
ejpam-1975	140	17	6=	6=	NUM
ejpam-1975	140	18	;	;	PUNCT
ejpam-1975	140	19	,	,	PUNCT
ejpam-1975	140	20	ϕ−1(x	ϕ−1(x	PROPN
ejpam-1975	140	21	)	)	PUNCT
ejpam-1975	140	22	6=	6=	NUM
ejpam-1975	140	23	;	;	PUNCT
ejpam-1975	140	24	;	;	PUNCT
ejpam-1975	140	25	0	0	X
ejpam-1975	140	26	,	,	PUNCT
ejpam-1975	140	27	otherwise	otherwise	ADV
ejpam-1975	140	28	.	.	PUNCT
ejpam-1975	141	1	=	=	SYM
ejpam-1975	141	2	sup	sup	NOUN
ejpam-1975	141	3	¦	¦	NOUN
ejpam-1975	141	4	cf(e1	cf(e1	NOUN
ejpam-1975	141	5	)	)	PUNCT
ejpam-1975	141	6	(	(	PUNCT
ejpam-1975	141	7	d	d	X
ejpam-1975	141	8	)	)	PUNCT
ejpam-1975	141	9	,	,	PUNCT
ejpam-1975	141	10	cf(e4	cf(e4	NOUN
ejpam-1975	141	11	)	)	PUNCT
ejpam-1975	141	12	(	(	PUNCT
ejpam-1975	141	13	d	d	X
ejpam-1975	141	14	)	)	PUNCT
ejpam-1975	142	1	©	©	PROPN
ejpam-1975	142	2	=	=	SYM
ejpam-1975	142	3	5	5	NUM
ejpam-1975	142	4	c	c	NOUN
ejpam-1975	142	5	f	f	X
ejpam-1975	142	6	(	(	PUNCT
ejpam-1975	142	7	f	f	PROPN
ejpam-1975	142	8	,	,	PUNCT
ejpam-1975	142	9	a)(k1)(y	a)(k1)(y	PROPN
ejpam-1975	142	10	)	)	PUNCT
ejpam-1975	142	11	=	=	SYM
ejpam-1975	142	12	sup	sup	NOUN
ejpam-1975	142	13	¦	¦	NOUN
ejpam-1975	142	14	cf(e1	cf(e1	NOUN
ejpam-1975	142	15	)	)	PUNCT
ejpam-1975	142	16	(	(	PUNCT
ejpam-1975	142	17	b	b	NOUN
ejpam-1975	142	18	)	)	PUNCT
ejpam-1975	142	19	,	,	PUNCT
ejpam-1975	142	20	cf(e4	cf(e4	NOUN
ejpam-1975	142	21	)	)	PUNCT
ejpam-1975	142	22	(	(	PUNCT
ejpam-1975	142	23	b	b	NOUN
ejpam-1975	142	24	)	)	PUNCT
ejpam-1975	142	25	,	,	PUNCT
ejpam-1975	142	26	cf(e1	cf(e1	NUM
ejpam-1975	142	27	)	)	PUNCT
ejpam-1975	142	28	(	(	PUNCT
ejpam-1975	143	1	c	c	NOUN
ejpam-1975	143	2	)	)	PUNCT
ejpam-1975	143	3	,	,	PUNCT
ejpam-1975	143	4	cf(e4	cf(e4	NOUN
ejpam-1975	143	5	)	)	PUNCT
ejpam-1975	143	6	(	(	PUNCT
ejpam-1975	143	7	c	c	X
ejpam-1975	143	8	)	)	PUNCT
ejpam-1975	143	9	©	©	NOUN
ejpam-1975	143	10	=	=	SYM
ejpam-1975	143	11	2	2	NUM
ejpam-1975	143	12	,	,	PUNCT
ejpam-1975	143	13	c	c	PROPN
ejpam-1975	143	14	f	f	X
ejpam-1975	143	15	(	(	PUNCT
ejpam-1975	143	16	f	f	X
ejpam-1975	143	17	,	,	PUNCT
ejpam-1975	143	18	a)(k1)(z	a)(k1)(z	ADJ
ejpam-1975	143	19	)	)	PUNCT
ejpam-1975	143	20	=	=	SYM
ejpam-1975	143	21	sup	sup	NOUN
ejpam-1975	143	22	¦	¦	NOUN
ejpam-1975	143	23	cf(e1	cf(e1	NOUN
ejpam-1975	143	24	)	)	PUNCT
ejpam-1975	143	25	(	(	PUNCT
ejpam-1975	143	26	a	a	X
ejpam-1975	143	27	)	)	PUNCT
ejpam-1975	143	28	,	,	PUNCT
ejpam-1975	143	29	cf(e4	cf(e4	NOUN
ejpam-1975	143	30	)	)	PUNCT
ejpam-1975	143	31	(	(	PUNCT
ejpam-1975	143	32	a	a	X
ejpam-1975	143	33	)	)	PUNCT
ejpam-1975	143	34	©	©	NOUN
ejpam-1975	143	35	=	=	SYM
ejpam-1975	143	36	2	2	NUM
ejpam-1975	143	37	,	,	PUNCT
ejpam-1975	143	38	c	c	PROPN
ejpam-1975	143	39	f	f	X
ejpam-1975	143	40	(	(	PUNCT
ejpam-1975	143	41	f	f	PROPN
ejpam-1975	143	42	,	,	PUNCT
ejpam-1975	143	43	a)(k1)(w	a)(k1)(w	PROPN
ejpam-1975	143	44	)	)	PUNCT
ejpam-1975	144	1	=	=	NOUN
ejpam-1975	144	2	0	0	NUM
ejpam-1975	144	3	(	(	PUNCT
ejpam-1975	144	4	since	since	SCONJ
ejpam-1975	144	5	ϕ−1(w	ϕ−1(w	NOUN
ejpam-1975	144	6	)	)	PUNCT
ejpam-1975	144	7	=	=	PUNCT
ejpam-1975	145	1	;)	;)	PUNCT
ejpam-1975	145	2	,	,	PUNCT
ejpam-1975	145	3	c	c	PROPN
ejpam-1975	145	4	f	f	PROPN
ejpam-1975	145	5	(	(	PUNCT
ejpam-1975	145	6	f	f	X
ejpam-1975	145	7	,	,	PUNCT
ejpam-1975	145	8	a)(k2)(x	a)(k2)(x	PROPN
ejpam-1975	145	9	)	)	PUNCT
ejpam-1975	145	10	=	=	PUNCT
ejpam-1975	145	11			NOUN
ejpam-1975	145	12			PRON
ejpam-1975	145	13			ADJ
ejpam-1975	145	14	sup	sup	ADJ
ejpam-1975	145	15	e∈ψ−1(k2)∩a	e∈ψ−1(k2)∩a	NOUN
ejpam-1975	145	16	,	,	PUNCT
ejpam-1975	145	17	a∈ϕ−1(x	a∈ϕ−1(x	NOUN
ejpam-1975	145	18	)	)	PUNCT
ejpam-1975	145	19	cf(e	cf(e	X
ejpam-1975	145	20	)	)	PUNCT
ejpam-1975	145	21	(	(	PUNCT
ejpam-1975	145	22	a	a	X
ejpam-1975	145	23	)	)	PUNCT
ejpam-1975	145	24	,	,	PUNCT
ejpam-1975	145	25	if	if	SCONJ
ejpam-1975	145	26	ψ−1(k2	ψ−1(k2	NOUN
ejpam-1975	145	27	)	)	PUNCT
ejpam-1975	145	28	6=	6=	NUM
ejpam-1975	145	29	;	;	PUNCT
ejpam-1975	145	30	,	,	PUNCT
ejpam-1975	145	31	ϕ−1(x	ϕ−1(x	PROPN
ejpam-1975	145	32	)	)	PUNCT
ejpam-1975	145	33	6=	6=	NUM
ejpam-1975	145	34	;	;	PUNCT
ejpam-1975	145	35	;	;	PUNCT
ejpam-1975	145	36	0	0	X
ejpam-1975	145	37	,	,	PUNCT
ejpam-1975	145	38	otherwise	otherwise	ADV
ejpam-1975	145	39	.	.	PUNCT
ejpam-1975	146	1	=	=	PUNCT
ejpam-1975	146	2			PROPN
ejpam-1975	146	3			PRON
ejpam-1975	146	4			ADJ
ejpam-1975	146	5	sup	sup	NOUN
ejpam-1975	146	6	e∈{e3},a∈{d	e∈{e3},a∈{d	NOUN
ejpam-1975	146	7	}	}	PUNCT
ejpam-1975	146	8	cf(e	cf(e	PROPN
ejpam-1975	146	9	)	)	PUNCT
ejpam-1975	146	10	(	(	PUNCT
ejpam-1975	146	11	a	a	X
ejpam-1975	146	12	)	)	PUNCT
ejpam-1975	146	13	,	,	PUNCT
ejpam-1975	146	14	if	if	SCONJ
ejpam-1975	146	15	ψ−1(k2	ψ−1(k2	NOUN
ejpam-1975	146	16	)	)	PUNCT
ejpam-1975	146	17	6=	6=	NUM
ejpam-1975	146	18	;	;	PUNCT
ejpam-1975	146	19	,	,	PUNCT
ejpam-1975	146	20	ϕ−1(x	ϕ−1(x	PROPN
ejpam-1975	146	21	)	)	PUNCT
ejpam-1975	146	22	6=	6=	NUM
ejpam-1975	146	23	;	;	PUNCT
ejpam-1975	146	24	;	;	PUNCT
ejpam-1975	146	25	0	0	X
ejpam-1975	146	26	,	,	PUNCT
ejpam-1975	146	27	otherwise	otherwise	ADV
ejpam-1975	146	28	.	.	PUNCT
ejpam-1975	147	1	=	=	NOUN
ejpam-1975	147	2	sup	sup	NOUN
ejpam-1975	147	3	¦	¦	NOUN
ejpam-1975	147	4	cf(e3	cf(e3	PROPN
ejpam-1975	147	5	)	)	PUNCT
ejpam-1975	147	6	(	(	PUNCT
ejpam-1975	147	7	d	d	X
ejpam-1975	147	8	)	)	PUNCT
ejpam-1975	147	9	©	©	PROPN
ejpam-1975	147	10	=	=	NOUN
ejpam-1975	147	11	1	1	NUM
ejpam-1975	147	12	,	,	PUNCT
ejpam-1975	147	13	c	c	PROPN
ejpam-1975	147	14	f	f	X
ejpam-1975	147	15	(	(	PUNCT
ejpam-1975	147	16	f	f	PROPN
ejpam-1975	147	17	,	,	PUNCT
ejpam-1975	147	18	a)(k2)(y	a)(k2)(y	PROPN
ejpam-1975	147	19	)	)	PUNCT
ejpam-1975	147	20	=	=	SYM
ejpam-1975	147	21	sup	sup	NOUN
ejpam-1975	147	22	¦	¦	NOUN
ejpam-1975	147	23	cf(e3	cf(e3	PROPN
ejpam-1975	147	24	)	)	PUNCT
ejpam-1975	147	25	(	(	PUNCT
ejpam-1975	147	26	b	b	NOUN
ejpam-1975	147	27	)	)	PUNCT
ejpam-1975	147	28	,	,	PUNCT
ejpam-1975	147	29	cf(e3	cf(e3	PROPN
ejpam-1975	147	30	)	)	PUNCT
ejpam-1975	147	31	(	(	PUNCT
ejpam-1975	147	32	c	c	X
ejpam-1975	147	33	)	)	PUNCT
ejpam-1975	147	34	©	©	NOUN
ejpam-1975	147	35	=	=	SYM
ejpam-1975	147	36	3	3	NUM
ejpam-1975	147	37	,	,	PUNCT
ejpam-1975	147	38	c	c	PROPN
ejpam-1975	147	39	f	f	X
ejpam-1975	147	40	(	(	PUNCT
ejpam-1975	147	41	f	f	PROPN
ejpam-1975	147	42	,	,	PUNCT
ejpam-1975	147	43	a)(k2)(z	a)(k2)(z	NOUN
ejpam-1975	147	44	)	)	PUNCT
ejpam-1975	147	45	=	=	SYM
ejpam-1975	147	46	sup	sup	NOUN
ejpam-1975	147	47	¦	¦	NOUN
ejpam-1975	147	48	cf(e3	cf(e3	PROPN
ejpam-1975	147	49	)	)	PUNCT
ejpam-1975	147	50	(	(	PUNCT
ejpam-1975	147	51	a	a	X
ejpam-1975	147	52	)	)	PUNCT
ejpam-1975	147	53	©	©	PROPN
ejpam-1975	147	54	=	=	SYM
ejpam-1975	147	55	0	0	NUM
ejpam-1975	147	56	,	,	PUNCT
ejpam-1975	147	57	c	c	PROPN
ejpam-1975	147	58	f	f	PROPN
ejpam-1975	147	59	(	(	PUNCT
ejpam-1975	147	60	f	f	PROPN
ejpam-1975	147	61	,	,	PUNCT
ejpam-1975	147	62	a)(k2)(w	a)(k2)(w	ADJ
ejpam-1975	147	63	)	)	PUNCT
ejpam-1975	148	1	=	=	SYM
ejpam-1975	148	2	0	0	NUM
ejpam-1975	148	3	(	(	PUNCT
ejpam-1975	148	4	since	since	SCONJ
ejpam-1975	148	5	ϕ−1(w	ϕ−1(w	NOUN
ejpam-1975	148	6	)	)	PUNCT
ejpam-1975	148	7	=	=	PUNCT
ejpam-1975	148	8	;)	;)	PUNCT
ejpam-1975	148	9	.	.	PROPN
ejpam-1975	148	10	i̇.	i̇.	PROPN
ejpam-1975	148	11	osmanoğlu	osmanoğlu	PROPN
ejpam-1975	148	12	,	,	PUNCT
ejpam-1975	148	13	d.	d.	PROPN
ejpam-1975	148	14	tokat	tokat	PROPN
ejpam-1975	148	15	/	/	SYM
ejpam-1975	148	16	eur	eur	PROPN
ejpam-1975	148	17	.	.	PUNCT
ejpam-1975	149	1	j.	j.	PROPN
ejpam-1975	149	2	pure	pure	PROPN
ejpam-1975	149	3	appl	appl	PROPN
ejpam-1975	149	4	.	.	PROPN
ejpam-1975	149	5	math	math	PROPN
ejpam-1975	149	6	,	,	PUNCT
ejpam-1975	149	7	7	7	NUM
ejpam-1975	149	8	(	(	PUNCT
ejpam-1975	149	9	2014	2014	NUM
ejpam-1975	149	10	)	)	PUNCT
ejpam-1975	149	11	,	,	PUNCT
ejpam-1975	149	12	97	97	NUM
ejpam-1975	149	13	-	-	SYM
ejpam-1975	149	14	108	108	NUM
ejpam-1975	149	15	103	103	NUM
ejpam-1975	149	16	consequently	consequently	ADV
ejpam-1975	149	17	,	,	PUNCT
ejpam-1975	149	18	we	we	PRON
ejpam-1975	149	19	have	have	VERB
ejpam-1975	149	20	(	(	PUNCT
ejpam-1975	149	21	f	f	X
ejpam-1975	149	22	(	(	PUNCT
ejpam-1975	149	23	f	f	PROPN
ejpam-1975	149	24	,	,	PUNCT
ejpam-1975	149	25	a	a	NOUN
ejpam-1975	149	26	)	)	PUNCT
ejpam-1975	149	27	,	,	PUNCT
ejpam-1975	149	28	b	b	X
ejpam-1975	149	29	)	)	PUNCT
ejpam-1975	149	30	=	=	SYM
ejpam-1975	149	31	{	{	PUNCT
ejpam-1975	149	32	k1	k1	NOUN
ejpam-1975	149	33	=	=	SYM
ejpam-1975	149	34	{	{	PUNCT
ejpam-1975	149	35	5	5	NUM
ejpam-1975	149	36	/	/	SYM
ejpam-1975	149	37	x	x	NOUN
ejpam-1975	149	38	,	,	PUNCT
ejpam-1975	149	39	2	2	NUM
ejpam-1975	149	40	/	/	SYM
ejpam-1975	149	41	y	y	PROPN
ejpam-1975	149	42	,	,	PUNCT
ejpam-1975	149	43	2	2	NUM
ejpam-1975	149	44	/	/	SYM
ejpam-1975	149	45	z	z	NOUN
ejpam-1975	149	46	}	}	PUNCT
ejpam-1975	149	47	,	,	PUNCT
ejpam-1975	149	48	k2	k2	PROPN
ejpam-1975	149	49	=	=	PUNCT
ejpam-1975	149	50	{	{	PUNCT
ejpam-1975	149	51	1	1	NUM
ejpam-1975	149	52	/	/	SYM
ejpam-1975	149	53	x	x	SYM
ejpam-1975	149	54	,	,	PUNCT
ejpam-1975	149	55	3	3	X
ejpam-1975	149	56	/	/	SYM
ejpam-1975	149	57	y	y	NOUN
ejpam-1975	149	58	}	}	PUNCT
ejpam-1975	149	59	}	}	PUNCT
ejpam-1975	149	60	.	.	PUNCT
ejpam-1975	150	1	soft	soft	ADJ
ejpam-1975	150	2	multiset	multiset	ADJ
ejpam-1975	150	3	inverse	inverse	NOUN
ejpam-1975	150	4	image	image	NOUN
ejpam-1975	150	5	of	of	ADP
ejpam-1975	150	6	(	(	PUNCT
ejpam-1975	150	7	g	g	PROPN
ejpam-1975	150	8	,	,	PUNCT
ejpam-1975	150	9	b	b	NOUN
ejpam-1975	150	10	)	)	PUNCT
ejpam-1975	150	11	under	under	ADP
ejpam-1975	150	12	f	f	PROPN
ejpam-1975	150	13	:	:	PUNCT
ejpam-1975	150	14	xe	xe	PROPN
ejpam-1975	150	15	→	→	SYM
ejpam-1975	150	16	yk	yk	PROPN
ejpam-1975	150	17	is	be	AUX
ejpam-1975	150	18	obtained	obtain	VERB
ejpam-1975	150	19	as	as	ADP
ejpam-1975	150	20	c	c	PROPN
ejpam-1975	150	21	f	f	PROPN
ejpam-1975	150	22	−1(g	−1(g	PROPN
ejpam-1975	150	23	,	,	PUNCT
ejpam-1975	150	24	b)(e3)(a	b)(e3)(a	NUM
ejpam-1975	150	25	)	)	PUNCT
ejpam-1975	151	1	=	=	SYM
ejpam-1975	151	2	cg(ψ(e3	cg(ψ(e3	ADJ
ejpam-1975	151	3	)	)	PUNCT
ejpam-1975	151	4	)	)	PUNCT
ejpam-1975	152	1	�	�	PROPN
ejpam-1975	152	2	ϕ(a	ϕ(a	PROPN
ejpam-1975	152	3	)	)	PUNCT
ejpam-1975	152	4	�	�	NOUN
ejpam-1975	152	5	=	=	SYM
ejpam-1975	152	6	cg(k2	cg(k2	NOUN
ejpam-1975	152	7	)	)	PUNCT
ejpam-1975	152	8	(	(	PUNCT
ejpam-1975	152	9	z	z	NOUN
ejpam-1975	152	10	)	)	PUNCT
ejpam-1975	152	11	=	=	SYM
ejpam-1975	152	12	2	2	NUM
ejpam-1975	152	13	,	,	PUNCT
ejpam-1975	152	14	c	c	PROPN
ejpam-1975	152	15	f	f	PROPN
ejpam-1975	152	16	−1(g	−1(g	PROPN
ejpam-1975	152	17	,	,	PUNCT
ejpam-1975	152	18	b)(e3)(b	b)(e3)(b	NOUN
ejpam-1975	152	19	)	)	PUNCT
ejpam-1975	152	20	=	=	SYM
ejpam-1975	152	21	cg(ψ(e3	cg(ψ(e3	ADJ
ejpam-1975	152	22	)	)	PUNCT
ejpam-1975	152	23	)	)	PUNCT
ejpam-1975	152	24	�	�	PROPN
ejpam-1975	152	25	ϕ(b	ϕ(b	PROPN
ejpam-1975	152	26	)	)	PUNCT
ejpam-1975	152	27	�	�	PROPN
ejpam-1975	152	28	=	=	SYM
ejpam-1975	152	29	cg(k2	cg(k2	NOUN
ejpam-1975	152	30	)	)	PUNCT
ejpam-1975	152	31	�	�	PROPN
ejpam-1975	152	32	y	y	PROPN
ejpam-1975	152	33	�	�	PROPN
ejpam-1975	152	34	=	=	SYM
ejpam-1975	152	35	1	1	NUM
ejpam-1975	152	36	,	,	PUNCT
ejpam-1975	152	37	c	c	PROPN
ejpam-1975	152	38	f	f	PROPN
ejpam-1975	152	39	−1(g	−1(g	PROPN
ejpam-1975	152	40	,	,	PUNCT
ejpam-1975	152	41	b)(e3)(c	b)(e3)(c	NOUN
ejpam-1975	152	42	)	)	PUNCT
ejpam-1975	152	43	=	=	SYM
ejpam-1975	152	44	cg(ψ(e3	cg(ψ(e3	ADJ
ejpam-1975	152	45	)	)	PUNCT
ejpam-1975	152	46	)	)	PUNCT
ejpam-1975	152	47	�	�	PROPN
ejpam-1975	152	48	ϕ(c	ϕ(c	PROPN
ejpam-1975	152	49	)	)	PUNCT
ejpam-1975	152	50	�	�	PROPN
ejpam-1975	152	51	=	=	SYM
ejpam-1975	152	52	cg(k2	cg(k2	NOUN
ejpam-1975	152	53	)	)	PUNCT
ejpam-1975	152	54	�	�	PROPN
ejpam-1975	152	55	y	y	PROPN
ejpam-1975	152	56	�	�	PROPN
ejpam-1975	152	57	=	=	SYM
ejpam-1975	152	58	1	1	NUM
ejpam-1975	152	59	,	,	PUNCT
ejpam-1975	152	60	c	c	PROPN
ejpam-1975	152	61	f	f	PROPN
ejpam-1975	152	62	−1(g	−1(g	PROPN
ejpam-1975	152	63	,	,	PUNCT
ejpam-1975	152	64	b)(e3)(d	b)(e3)(d	NUM
ejpam-1975	152	65	)	)	PUNCT
ejpam-1975	153	1	=	=	SYM
ejpam-1975	153	2	cg(ψ(e3	cg(ψ(e3	ADJ
ejpam-1975	153	3	)	)	PUNCT
ejpam-1975	153	4	)	)	PUNCT
ejpam-1975	154	1	�	�	PROPN
ejpam-1975	154	2	ϕ(d	ϕ(d	PROPN
ejpam-1975	154	3	)	)	PUNCT
ejpam-1975	154	4	�	�	PROPN
ejpam-1975	154	5	=	=	SYM
ejpam-1975	154	6	cg(k2	cg(k2	PROPN
ejpam-1975	154	7	)	)	PUNCT
ejpam-1975	154	8	(	(	PUNCT
ejpam-1975	154	9	x	x	X
ejpam-1975	154	10	)	)	PUNCT
ejpam-1975	154	11	=	=	SYM
ejpam-1975	154	12	1	1	NUM
ejpam-1975	154	13	,	,	PUNCT
ejpam-1975	154	14	c	c	PROPN
ejpam-1975	154	15	f	f	PROPN
ejpam-1975	154	16	−1(g	−1(g	PROPN
ejpam-1975	154	17	,	,	PUNCT
ejpam-1975	154	18	b)(e4)(a	b)(e4)(a	PROPN
ejpam-1975	154	19	)	)	PUNCT
ejpam-1975	155	1	=	=	SYM
ejpam-1975	155	2	cg(ψ(e4	cg(ψ(e4	NOUN
ejpam-1975	155	3	)	)	PUNCT
ejpam-1975	155	4	)	)	PUNCT
ejpam-1975	155	5	�	�	PROPN
ejpam-1975	155	6	ϕ(a	ϕ(a	PROPN
ejpam-1975	155	7	)	)	PUNCT
ejpam-1975	155	8	�	�	PROPN
ejpam-1975	155	9	=	=	SYM
ejpam-1975	155	10	cg(k1	cg(k1	PROPN
ejpam-1975	155	11	)	)	PUNCT
ejpam-1975	155	12	(	(	PUNCT
ejpam-1975	155	13	z	z	NOUN
ejpam-1975	155	14	)	)	PUNCT
ejpam-1975	155	15	=	=	SYM
ejpam-1975	155	16	0	0	NUM
ejpam-1975	155	17	,	,	PUNCT
ejpam-1975	155	18	c	c	PROPN
ejpam-1975	155	19	f	f	PROPN
ejpam-1975	155	20	−1(g	−1(g	PROPN
ejpam-1975	155	21	,	,	PUNCT
ejpam-1975	155	22	b)(e4)(b	b)(e4)(b	PROPN
ejpam-1975	155	23	)	)	PUNCT
ejpam-1975	155	24	=	=	SYM
ejpam-1975	155	25	cg(ψ(e4	cg(ψ(e4	NOUN
ejpam-1975	155	26	)	)	PUNCT
ejpam-1975	155	27	)	)	PUNCT
ejpam-1975	155	28	�	�	PROPN
ejpam-1975	155	29	ϕ(b	ϕ(b	PROPN
ejpam-1975	155	30	)	)	PUNCT
ejpam-1975	155	31	�	�	PROPN
ejpam-1975	155	32	=	=	SYM
ejpam-1975	155	33	cg(k1	cg(k1	PROPN
ejpam-1975	155	34	)	)	PUNCT
ejpam-1975	155	35	�	�	PROPN
ejpam-1975	155	36	y	y	PROPN
ejpam-1975	155	37	�	�	PROPN
ejpam-1975	155	38	=	=	SYM
ejpam-1975	155	39	0	0	PROPN
ejpam-1975	155	40	,	,	PUNCT
ejpam-1975	155	41	c	c	PROPN
ejpam-1975	155	42	f	f	PROPN
ejpam-1975	155	43	−1(g	−1(g	NOUN
ejpam-1975	155	44	,	,	PUNCT
ejpam-1975	155	45	b)(e4)(c	b)(e4)(c	NOUN
ejpam-1975	155	46	)	)	PUNCT
ejpam-1975	155	47	=	=	SYM
ejpam-1975	155	48	cg(ψ(e4	cg(ψ(e4	NOUN
ejpam-1975	155	49	)	)	PUNCT
ejpam-1975	155	50	)	)	PUNCT
ejpam-1975	155	51	�	�	PROPN
ejpam-1975	155	52	ϕ(c	ϕ(c	PROPN
ejpam-1975	155	53	)	)	PUNCT
ejpam-1975	155	54	�	�	PROPN
ejpam-1975	155	55	=	=	SYM
ejpam-1975	155	56	cg(k1	cg(k1	PROPN
ejpam-1975	155	57	)	)	PUNCT
ejpam-1975	155	58	�	�	PROPN
ejpam-1975	155	59	y	y	PROPN
ejpam-1975	155	60	�	�	PROPN
ejpam-1975	155	61	=	=	SYM
ejpam-1975	155	62	0	0	PROPN
ejpam-1975	155	63	,	,	PUNCT
ejpam-1975	155	64	c	c	PROPN
ejpam-1975	155	65	f	f	PROPN
ejpam-1975	155	66	−1(g	−1(g	PROPN
ejpam-1975	155	67	,	,	PUNCT
ejpam-1975	155	68	b)(e4)(d	b)(e4)(d	PROPN
ejpam-1975	155	69	)	)	PUNCT
ejpam-1975	156	1	=	=	SYM
ejpam-1975	156	2	cg(ψ(e4	cg(ψ(e4	NOUN
ejpam-1975	156	3	)	)	PUNCT
ejpam-1975	156	4	)	)	PUNCT
ejpam-1975	156	5	�	�	PROPN
ejpam-1975	156	6	ϕ(d	ϕ(d	PROPN
ejpam-1975	156	7	)	)	PUNCT
ejpam-1975	156	8	�	�	PROPN
ejpam-1975	156	9	=	=	SYM
ejpam-1975	156	10	cg(k1	cg(k1	PROPN
ejpam-1975	156	11	)	)	PUNCT
ejpam-1975	156	12	(	(	PUNCT
ejpam-1975	156	13	x	x	X
ejpam-1975	156	14	)	)	PUNCT
ejpam-1975	156	15	=	=	SYM
ejpam-1975	156	16	4	4	X
ejpam-1975	156	17	.	.	PUNCT
ejpam-1975	157	1	consequently	consequently	ADV
ejpam-1975	157	2	,	,	PUNCT
ejpam-1975	157	3	we	we	PRON
ejpam-1975	157	4	have	have	VERB
ejpam-1975	157	5	(	(	PUNCT
ejpam-1975	157	6	f	f	PROPN
ejpam-1975	157	7	−1(g	−1(g	PROPN
ejpam-1975	157	8	,	,	PUNCT
ejpam-1975	157	9	b	b	NOUN
ejpam-1975	157	10	)	)	PUNCT
ejpam-1975	157	11	,	,	PUNCT
ejpam-1975	157	12	d	d	X
ejpam-1975	157	13	)	)	PUNCT
ejpam-1975	157	14	=	=	SYM
ejpam-1975	157	15	{	{	PUNCT
ejpam-1975	157	16	e3	e3	X
ejpam-1975	157	17	=	=	SYM
ejpam-1975	157	18	{	{	PUNCT
ejpam-1975	157	19	2	2	NUM
ejpam-1975	157	20	/	/	SYM
ejpam-1975	157	21	a	a	PRON
ejpam-1975	157	22	,	,	PUNCT
ejpam-1975	157	23	1	1	NUM
ejpam-1975	157	24	/	/	SYM
ejpam-1975	157	25	b	b	NOUN
ejpam-1975	157	26	,	,	PUNCT
ejpam-1975	157	27	1	1	NUM
ejpam-1975	157	28	/	/	SYM
ejpam-1975	157	29	c	c	NOUN
ejpam-1975	157	30	,	,	PUNCT
ejpam-1975	157	31	1	1	NUM
ejpam-1975	157	32	/	/	SYM
ejpam-1975	157	33	d	d	NOUN
ejpam-1975	157	34	}	}	PUNCT
ejpam-1975	157	35	,	,	PUNCT
ejpam-1975	157	36	e4	e4	PROPN
ejpam-1975	157	37	=	=	SYM
ejpam-1975	157	38	{	{	PUNCT
ejpam-1975	157	39	4	4	NUM
ejpam-1975	157	40	/	/	SYM
ejpam-1975	157	41	d	d	NOUN
ejpam-1975	157	42	}	}	PUNCT
ejpam-1975	157	43	}	}	PUNCT
ejpam-1975	157	44	.	.	PUNCT
ejpam-1975	158	1	theorem	theorem	NOUN
ejpam-1975	158	2	1	1	NUM
ejpam-1975	158	3	.	.	PUNCT
ejpam-1975	159	1	let	let	VERB
ejpam-1975	159	2	f	f	PROPN
ejpam-1975	159	3	:	:	PUNCT
ejpam-1975	159	4	xe	xe	PROPN
ejpam-1975	159	5	→	→	SYM
ejpam-1975	159	6	yk	yk	PROPN
ejpam-1975	159	7	be	be	AUX
ejpam-1975	159	8	a	a	DET
ejpam-1975	159	9	soft	soft	ADJ
ejpam-1975	159	10	multi	multi	ADJ
ejpam-1975	159	11	function	function	NOUN
ejpam-1975	159	12	,	,	PUNCT
ejpam-1975	159	13	(	(	PUNCT
ejpam-1975	159	14	f	f	X
ejpam-1975	159	15	,	,	PUNCT
ejpam-1975	159	16	a	a	NOUN
ejpam-1975	159	17	)	)	PUNCT
ejpam-1975	159	18	,	,	PUNCT
ejpam-1975	159	19	(	(	PUNCT
ejpam-1975	159	20	fi	fi	NOUN
ejpam-1975	159	21	,	,	PUNCT
ejpam-1975	159	22	a	a	PRON
ejpam-1975	159	23	)	)	PUNCT
ejpam-1975	159	24	soft	soft	ADJ
ejpam-1975	159	25	multisets	multiset	NOUN
ejpam-1975	159	26	in	in	ADP
ejpam-1975	159	27	xe	xe	PROPN
ejpam-1975	159	28	and	and	CCONJ
ejpam-1975	159	29	(	(	PUNCT
ejpam-1975	159	30	g	g	PROPN
ejpam-1975	159	31	,	,	PUNCT
ejpam-1975	159	32	b	b	NOUN
ejpam-1975	159	33	)	)	PUNCT
ejpam-1975	159	34	,	,	PUNCT
ejpam-1975	159	35	(	(	PUNCT
ejpam-1975	159	36	gi	gi	INTJ
ejpam-1975	159	37	,	,	PUNCT
ejpam-1975	159	38	b	b	NOUN
ejpam-1975	159	39	)	)	PUNCT
ejpam-1975	159	40	soft	soft	ADJ
ejpam-1975	159	41	multisets	multiset	NOUN
ejpam-1975	159	42	in	in	ADP
ejpam-1975	159	43	yk	yk	PROPN
ejpam-1975	159	44	.	.	PUNCT
ejpam-1975	160	1	(	(	PUNCT
ejpam-1975	160	2	1	1	X
ejpam-1975	160	3	)	)	PUNCT
ejpam-1975	160	4	f	f	PROPN
ejpam-1975	160	5	(	(	PUNCT
ejpam-1975	160	6	φ	φ	NOUN
ejpam-1975	160	7	)	)	PUNCT
ejpam-1975	160	8	=	=	SYM
ejpam-1975	160	9	φ	φ	PROPN
ejpam-1975	160	10	,	,	PUNCT
ejpam-1975	160	11	f	f	PROPN
ejpam-1975	160	12	(	(	PUNCT
ejpam-1975	160	13	x̃	x̃	PROPN
ejpam-1975	160	14	)	)	PUNCT
ejpam-1975	160	15	⊆̃ỹ	⊆̃ỹ	VERB
ejpam-1975	160	16	,	,	PUNCT
ejpam-1975	160	17	(	(	PUNCT
ejpam-1975	160	18	2	2	NUM
ejpam-1975	160	19	)	)	PUNCT
ejpam-1975	160	20	f	f	NOUN
ejpam-1975	160	21	−1(φ	−1(φ	NOUN
ejpam-1975	160	22	)	)	PUNCT
ejpam-1975	160	23	=	=	SYM
ejpam-1975	161	1	φ	φ	PROPN
ejpam-1975	161	2	,	,	PUNCT
ejpam-1975	161	3	f	f	PROPN
ejpam-1975	161	4	−1(ỹ	−1(ỹ	NOUN
ejpam-1975	161	5	)	)	PUNCT
ejpam-1975	162	1	=	=	PUNCT
ejpam-1975	162	2	x̃	x̃	PROPN
ejpam-1975	162	3	,	,	PUNCT
ejpam-1975	162	4	(	(	PUNCT
ejpam-1975	162	5	3	3	X
ejpam-1975	162	6	)	)	PUNCT
ejpam-1975	162	7	f	f	NOUN
ejpam-1975	162	8	(	(	PUNCT
ejpam-1975	162	9	(	(	PUNCT
ejpam-1975	162	10	f1	f1	NOUN
ejpam-1975	162	11	,	,	PUNCT
ejpam-1975	162	12	a1)∪̃(f2	a1)∪̃(f2	PROPN
ejpam-1975	162	13	,	,	PUNCT
ejpam-1975	162	14	a2	a2	PROPN
ejpam-1975	162	15	)	)	PUNCT
ejpam-1975	162	16	)	)	PUNCT
ejpam-1975	163	1	=	=	SYM
ejpam-1975	163	2	f	f	PROPN
ejpam-1975	163	3	(	(	PUNCT
ejpam-1975	163	4	f1	f1	PROPN
ejpam-1975	163	5	,	,	PUNCT
ejpam-1975	163	6	a1)∪̃	a1)∪̃	PROPN
ejpam-1975	163	7	f	f	X
ejpam-1975	163	8	(	(	PUNCT
ejpam-1975	163	9	f2	f2	PROPN
ejpam-1975	163	10	,	,	PUNCT
ejpam-1975	163	11	a2	a2	PROPN
ejpam-1975	163	12	)	)	PUNCT
ejpam-1975	163	13	.	.	PUNCT
ejpam-1975	164	1	in	in	ADP
ejpam-1975	164	2	general	general	ADJ
ejpam-1975	164	3	,	,	PUNCT
ejpam-1975	164	4	f	f	PROPN
ejpam-1975	164	5	(	(	PUNCT
ejpam-1975	164	6	∪̃i∈i(fi	∪̃i∈i(fi	INTJ
ejpam-1975	164	7	,	,	PUNCT
ejpam-1975	164	8	ai	ai	NOUN
ejpam-1975	164	9	)	)	PUNCT
ejpam-1975	164	10	)	)	PUNCT
ejpam-1975	165	1	=	=	PUNCT
ejpam-1975	165	2	∪̃i∈i	∪̃i∈i	X
ejpam-1975	165	3	f	f	PROPN
ejpam-1975	165	4	(	(	PUNCT
ejpam-1975	165	5	fi	fi	NOUN
ejpam-1975	165	6	,	,	PUNCT
ejpam-1975	165	7	ai	ai	NOUN
ejpam-1975	165	8	)	)	PUNCT
ejpam-1975	165	9	,	,	PUNCT
ejpam-1975	165	10	(	(	PUNCT
ejpam-1975	165	11	4	4	X
ejpam-1975	165	12	)	)	PUNCT
ejpam-1975	165	13	f	f	NOUN
ejpam-1975	165	14	−1((g1	−1((g1	ADV
ejpam-1975	165	15	,	,	PUNCT
ejpam-1975	165	16	b)∪̃(g2	b)∪̃(g2	PROPN
ejpam-1975	165	17	,	,	PUNCT
ejpam-1975	165	18	b	b	NOUN
ejpam-1975	165	19	)	)	PUNCT
ejpam-1975	165	20	)	)	PUNCT
ejpam-1975	166	1	=	=	PUNCT
ejpam-1975	166	2	f	f	X
ejpam-1975	167	1	−1(g1	−1(g1	NUM
ejpam-1975	167	2	,	,	PUNCT
ejpam-1975	167	3	b)∪̃	b)∪̃	PROPN
ejpam-1975	167	4	f	f	PROPN
ejpam-1975	167	5	−1(g2	−1(g2	NOUN
ejpam-1975	167	6	,	,	PUNCT
ejpam-1975	167	7	b	b	NOUN
ejpam-1975	167	8	)	)	PUNCT
ejpam-1975	167	9	.	.	PUNCT
ejpam-1975	168	1	in	in	ADP
ejpam-1975	168	2	general	general	ADJ
ejpam-1975	168	3	,	,	PUNCT
ejpam-1975	168	4	f	f	PROPN
ejpam-1975	168	5	−1(∪̃i∈i(gi	−1(∪̃i∈i(gi	NOUN
ejpam-1975	168	6	,	,	PUNCT
ejpam-1975	168	7	b	b	NOUN
ejpam-1975	168	8	)	)	PUNCT
ejpam-1975	168	9	)	)	PUNCT
ejpam-1975	169	1	=	=	PUNCT
ejpam-1975	170	1	∪̃i∈i	∪̃i∈i	X
ejpam-1975	170	2	f	f	PROPN
ejpam-1975	170	3	−1(gi	−1(gi	NOUN
ejpam-1975	170	4	,	,	PUNCT
ejpam-1975	170	5	b	b	NOUN
ejpam-1975	170	6	)	)	PUNCT
ejpam-1975	170	7	,	,	PUNCT
ejpam-1975	170	8	(	(	PUNCT
ejpam-1975	170	9	5	5	X
ejpam-1975	170	10	)	)	PUNCT
ejpam-1975	170	11	f	f	NOUN
ejpam-1975	170	12	(	(	PUNCT
ejpam-1975	170	13	(	(	PUNCT
ejpam-1975	170	14	f1	f1	PROPN
ejpam-1975	170	15	,	,	PUNCT
ejpam-1975	170	16	a)∩̃(f2	a)∩̃(f2	PROPN
ejpam-1975	170	17	,	,	PUNCT
ejpam-1975	170	18	a))⊆̃	a))⊆̃	NOUN
ejpam-1975	170	19	f	f	X
ejpam-1975	170	20	(	(	PUNCT
ejpam-1975	170	21	f1	f1	PROPN
ejpam-1975	170	22	,	,	PUNCT
ejpam-1975	170	23	a)∩̃	a)∩̃	PROPN
ejpam-1975	170	24	f	f	PROPN
ejpam-1975	170	25	(	(	PUNCT
ejpam-1975	170	26	f2	f2	PROPN
ejpam-1975	170	27	,	,	PUNCT
ejpam-1975	170	28	a	a	PRON
ejpam-1975	170	29	)	)	PUNCT
ejpam-1975	170	30	.	.	PUNCT
ejpam-1975	171	1	in	in	ADP
ejpam-1975	171	2	general	general	ADJ
ejpam-1975	171	3	,	,	PUNCT
ejpam-1975	171	4	f	f	PROPN
ejpam-1975	171	5	(	(	PUNCT
ejpam-1975	171	6	∩̃i∈i(fi	∩̃i∈i(fi	NOUN
ejpam-1975	171	7	,	,	PUNCT
ejpam-1975	171	8	a))⊆̃∩̃i∈i	a))⊆̃∩̃i∈i	ADJ
ejpam-1975	171	9	f	f	X
ejpam-1975	171	10	(	(	PUNCT
ejpam-1975	171	11	fi	fi	NOUN
ejpam-1975	171	12	,	,	PUNCT
ejpam-1975	171	13	a	a	PRON
ejpam-1975	171	14	)	)	PUNCT
ejpam-1975	171	15	,	,	PUNCT
ejpam-1975	171	16	(	(	PUNCT
ejpam-1975	171	17	6	6	NUM
ejpam-1975	171	18	)	)	PUNCT
ejpam-1975	171	19	f	f	NOUN
ejpam-1975	171	20	−1((g1	−1((g1	ADV
ejpam-1975	171	21	,	,	PUNCT
ejpam-1975	171	22	b)∩̃(g2	b)∩̃(g2	ADV
ejpam-1975	171	23	,	,	PUNCT
ejpam-1975	171	24	b	b	NOUN
ejpam-1975	171	25	)	)	PUNCT
ejpam-1975	171	26	)	)	PUNCT
ejpam-1975	172	1	=	=	PUNCT
ejpam-1975	172	2	f	f	X
ejpam-1975	173	1	−1(g1	−1(g1	PROPN
ejpam-1975	173	2	,	,	PUNCT
ejpam-1975	173	3	b)∩̃	b)∩̃	PROPN
ejpam-1975	173	4	f	f	PROPN
ejpam-1975	173	5	−1(g2	−1(g2	PROPN
ejpam-1975	173	6	,	,	PUNCT
ejpam-1975	173	7	b	b	NOUN
ejpam-1975	173	8	)	)	PUNCT
ejpam-1975	173	9	.	.	PUNCT
ejpam-1975	174	1	in	in	ADP
ejpam-1975	174	2	general	general	ADJ
ejpam-1975	174	3	,	,	PUNCT
ejpam-1975	174	4	f	f	PROPN
ejpam-1975	174	5	−1(∩̃i∈i(gi	−1(∩̃i∈i(gi	PROPN
ejpam-1975	174	6	,	,	PUNCT
ejpam-1975	174	7	b	b	NOUN
ejpam-1975	174	8	)	)	PUNCT
ejpam-1975	174	9	)	)	PUNCT
ejpam-1975	175	1	=	=	PUNCT
ejpam-1975	176	1	∩̃i∈i	∩̃i∈i	NUM
ejpam-1975	176	2	f	f	PROPN
ejpam-1975	176	3	−1(gi	−1(gi	NOUN
ejpam-1975	176	4	,	,	PUNCT
ejpam-1975	176	5	b	b	NOUN
ejpam-1975	176	6	)	)	PUNCT
ejpam-1975	176	7	,	,	PUNCT
ejpam-1975	176	8	(	(	PUNCT
ejpam-1975	176	9	7	7	X
ejpam-1975	176	10	)	)	PUNCT
ejpam-1975	176	11	if	if	SCONJ
ejpam-1975	176	12	(	(	PUNCT
ejpam-1975	176	13	f1	f1	NOUN
ejpam-1975	176	14	,	,	PUNCT
ejpam-1975	176	15	a)⊆̃(f2	a)⊆̃(f2	PROPN
ejpam-1975	176	16	,	,	PUNCT
ejpam-1975	176	17	a	a	PRON
ejpam-1975	176	18	)	)	PUNCT
ejpam-1975	176	19	,	,	PUNCT
ejpam-1975	176	20	then	then	ADV
ejpam-1975	176	21	f	f	PROPN
ejpam-1975	176	22	(	(	PUNCT
ejpam-1975	176	23	f1	f1	PROPN
ejpam-1975	176	24	,	,	PUNCT
ejpam-1975	176	25	a)⊆̃	a)⊆̃	PUNCT
ejpam-1975	176	26	f	f	X
ejpam-1975	176	27	(	(	PUNCT
ejpam-1975	176	28	f2	f2	PROPN
ejpam-1975	176	29	,	,	PUNCT
ejpam-1975	176	30	a	a	PRON
ejpam-1975	176	31	)	)	PUNCT
ejpam-1975	176	32	,	,	PUNCT
ejpam-1975	176	33	(	(	PUNCT
ejpam-1975	176	34	8)	8)	NUM
ejpam-1975	176	35	if	if	SCONJ
ejpam-1975	176	36	(	(	PUNCT
ejpam-1975	176	37	g1	g1	PROPN
ejpam-1975	176	38	,	,	PUNCT
ejpam-1975	176	39	b)⊆̃(g2	b)⊆̃(g2	PROPN
ejpam-1975	176	40	,	,	PUNCT
ejpam-1975	176	41	b	b	NOUN
ejpam-1975	176	42	)	)	PUNCT
ejpam-1975	176	43	,	,	PUNCT
ejpam-1975	176	44	then	then	ADV
ejpam-1975	176	45	f	f	PROPN
ejpam-1975	176	46	−1(g1	−1(g1	PROPN
ejpam-1975	176	47	,	,	PUNCT
ejpam-1975	176	48	b)⊆̃	b)⊆̃	PROPN
ejpam-1975	176	49	f	f	PROPN
ejpam-1975	177	1	−1(g2	−1(g2	PROPN
ejpam-1975	177	2	,	,	PUNCT
ejpam-1975	177	3	b	b	NOUN
ejpam-1975	177	4	)	)	PUNCT
ejpam-1975	177	5	.	.	PUNCT
ejpam-1975	178	1	proof	proof	NOUN
ejpam-1975	178	2	.	.	PUNCT
ejpam-1975	179	1	by	by	ADP
ejpam-1975	179	2	using	use	VERB
ejpam-1975	179	3	definition	definition	NOUN
ejpam-1975	179	4	16	16	NUM
ejpam-1975	179	5	,	,	PUNCT
ejpam-1975	179	6	we	we	PRON
ejpam-1975	179	7	only	only	ADV
ejpam-1975	179	8	prove	prove	VERB
ejpam-1975	179	9	(	(	PUNCT
ejpam-1975	179	10	3)−	3)−	PROPN
ejpam-1975	179	11	(	(	PUNCT
ejpam-1975	179	12	8)	8)	NUM
ejpam-1975	179	13	i̇.	i̇.	NOUN
ejpam-1975	179	14	osmanoğlu	osmanoğlu	NOUN
ejpam-1975	179	15	,	,	PUNCT
ejpam-1975	179	16	d.	d.	PROPN
ejpam-1975	179	17	tokat	tokat	PROPN
ejpam-1975	179	18	/	/	SYM
ejpam-1975	179	19	eur	eur	PROPN
ejpam-1975	179	20	.	.	PUNCT
ejpam-1975	180	1	j.	j.	PROPN
ejpam-1975	180	2	pure	pure	PROPN
ejpam-1975	180	3	appl	appl	PROPN
ejpam-1975	180	4	.	.	PROPN
ejpam-1975	180	5	math	math	PROPN
ejpam-1975	180	6	,	,	PUNCT
ejpam-1975	180	7	7	7	NUM
ejpam-1975	180	8	(	(	PUNCT
ejpam-1975	180	9	2014	2014	NUM
ejpam-1975	180	10	)	)	PUNCT
ejpam-1975	180	11	,	,	PUNCT
ejpam-1975	180	12	97	97	NUM
ejpam-1975	180	13	-	-	SYM
ejpam-1975	180	14	108	108	NUM
ejpam-1975	180	15	104	104	NUM
ejpam-1975	180	16	(	(	PUNCT
ejpam-1975	180	17	3	3	X
ejpam-1975	180	18	)	)	PUNCT
ejpam-1975	180	19	suppose	suppose	VERB
ejpam-1975	180	20	that	that	SCONJ
ejpam-1975	180	21	(	(	PUNCT
ejpam-1975	180	22	f	f	X
ejpam-1975	180	23	,	,	PUNCT
ejpam-1975	180	24	a	a	PRON
ejpam-1975	180	25	)	)	PUNCT
ejpam-1975	180	26	=	=	SYM
ejpam-1975	180	27	(	(	PUNCT
ejpam-1975	180	28	f1	f1	NOUN
ejpam-1975	180	29	,	,	PUNCT
ejpam-1975	180	30	a1)∪̃(f2	a1)∪̃(f2	PROPN
ejpam-1975	180	31	,	,	PUNCT
ejpam-1975	180	32	a1	a1	PROPN
ejpam-1975	180	33	)	)	PUNCT
ejpam-1975	180	34	.	.	PUNCT
ejpam-1975	181	1	we	we	PRON
ejpam-1975	181	2	we	we	PRON
ejpam-1975	181	3	should	should	AUX
ejpam-1975	181	4	show	show	VERB
ejpam-1975	181	5	that	that	SCONJ
ejpam-1975	181	6	f	f	PROPN
ejpam-1975	181	7	(	(	PUNCT
ejpam-1975	181	8	f	f	X
ejpam-1975	181	9	,	,	PUNCT
ejpam-1975	181	10	a	a	X
ejpam-1975	181	11	)	)	PUNCT
ejpam-1975	181	12	=	=	SYM
ejpam-1975	181	13	f	f	PROPN
ejpam-1975	181	14	(	(	PUNCT
ejpam-1975	181	15	f1	f1	PROPN
ejpam-1975	181	16	,	,	PUNCT
ejpam-1975	181	17	a1)∪̃	a1)∪̃	PROPN
ejpam-1975	181	18	f	f	X
ejpam-1975	181	19	(	(	PUNCT
ejpam-1975	181	20	f2	f2	PROPN
ejpam-1975	181	21	,	,	PUNCT
ejpam-1975	181	22	a2	a2	PROPN
ejpam-1975	181	23	)	)	PUNCT
ejpam-1975	181	24	.	.	PUNCT
ejpam-1975	182	1	then	then	ADV
ejpam-1975	182	2	for	for	SCONJ
ejpam-1975	182	3	k	k	PROPN
ejpam-1975	182	4	∈	∈	PROPN
ejpam-1975	182	5	k	k	PROPN
ejpam-1975	182	6	and	and	CCONJ
ejpam-1975	182	7	y	y	PROPN
ejpam-1975	182	8	∈	∈	PROPN
ejpam-1975	182	9	y	y	PROPN
ejpam-1975	182	10	∗	∗	NOUN
ejpam-1975	182	11	,	,	PUNCT
ejpam-1975	182	12	c	c	PROPN
ejpam-1975	182	13	f	f	PROPN
ejpam-1975	182	14	(	(	PUNCT
ejpam-1975	182	15	f	f	PROPN
ejpam-1975	182	16	,	,	PUNCT
ejpam-1975	182	17	a)(k)(y	a)(k)(y	PROPN
ejpam-1975	182	18	)	)	PUNCT
ejpam-1975	182	19	=	=	SYM
ejpam-1975	182	20	sup	sup	NOUN
ejpam-1975	182	21	e∈ψ−1(k)∩a	e∈ψ−1(k)∩a	PROPN
ejpam-1975	182	22	,	,	PUNCT
ejpam-1975	182	23	x∈ϕ−1(y	x∈ϕ−1(y	PROPN
ejpam-1975	182	24	)	)	PUNCT
ejpam-1975	182	25	cf(e	cf(e	PROPN
ejpam-1975	182	26	)	)	PUNCT
ejpam-1975	182	27	(	(	PUNCT
ejpam-1975	182	28	x	x	X
ejpam-1975	182	29	)	)	PUNCT
ejpam-1975	182	30	=	=	SYM
ejpam-1975	182	31	sup	sup	NOUN
ejpam-1975	182	32	e∈ψ−1(k)∩a	e∈ψ−1(k)∩a	PROPN
ejpam-1975	182	33	,	,	PUNCT
ejpam-1975	182	34	x∈ϕ−1(y	x∈ϕ−1(y	PROPN
ejpam-1975	182	35	)	)	PUNCT
ejpam-1975	182	36	max{cf1(e	max{cf1(e	NOUN
ejpam-1975	182	37	)	)	PUNCT
ejpam-1975	182	38	(	(	PUNCT
ejpam-1975	182	39	x	x	X
ejpam-1975	182	40	)	)	PUNCT
ejpam-1975	182	41	,	,	PUNCT
ejpam-1975	182	42	cf2(e	cf2(e	PROPN
ejpam-1975	182	43	)	)	PUNCT
ejpam-1975	182	44	(	(	PUNCT
ejpam-1975	182	45	x	x	X
ejpam-1975	182	46	)	)	PUNCT
ejpam-1975	182	47	}	}	PUNCT
ejpam-1975	182	48	=	=	SYM
ejpam-1975	182	49	max	max	X
ejpam-1975	182	50	{	{	PUNCT
ejpam-1975	182	51	sup	sup	NOUN
ejpam-1975	182	52	e∈ψ−1(k)∩a	e∈ψ−1(k)∩a	PROPN
ejpam-1975	182	53	,	,	PUNCT
ejpam-1975	182	54	x∈ϕ−1(y	x∈ϕ−1(y	PROPN
ejpam-1975	182	55	)	)	PUNCT
ejpam-1975	182	56	cf1(e	cf1(e	PROPN
ejpam-1975	182	57	)	)	PUNCT
ejpam-1975	182	58	(	(	PUNCT
ejpam-1975	182	59	x	x	X
ejpam-1975	182	60	)	)	PUNCT
ejpam-1975	182	61	,	,	PUNCT
ejpam-1975	182	62	sup	sup	NOUN
ejpam-1975	182	63	e∈ψ−1(k)∩a	e∈ψ−1(k)∩a	PROPN
ejpam-1975	182	64	,	,	PUNCT
ejpam-1975	182	65	x∈ϕ−1(y	x∈ϕ−1(y	PRON
ejpam-1975	182	66	)	)	PUNCT
ejpam-1975	182	67	cf2(e	cf2(e	NOUN
ejpam-1975	182	68	)	)	PUNCT
ejpam-1975	182	69	(	(	PUNCT
ejpam-1975	182	70	x	x	X
ejpam-1975	182	71	)	)	PUNCT
ejpam-1975	182	72	}	}	PUNCT
ejpam-1975	183	1	=	=	NOUN
ejpam-1975	183	2	max{c	max{c	NOUN
ejpam-1975	183	3	f	f	PROPN
ejpam-1975	183	4	(	(	PUNCT
ejpam-1975	183	5	f1,a1)(k)(y	f1,a1)(k)(y	PROPN
ejpam-1975	183	6	)	)	PUNCT
ejpam-1975	183	7	,	,	PUNCT
ejpam-1975	183	8	c	c	PROPN
ejpam-1975	183	9	f	f	X
ejpam-1975	183	10	(	(	PUNCT
ejpam-1975	183	11	f2,a2)(k)(y	f2,a2)(k)(y	PROPN
ejpam-1975	183	12	)	)	PUNCT
ejpam-1975	183	13	}	}	PUNCT
ejpam-1975	183	14	.	.	PUNCT
ejpam-1975	184	1	therefore	therefore	ADV
ejpam-1975	184	2	f	f	X
ejpam-1975	184	3	(	(	PUNCT
ejpam-1975	184	4	f	f	X
ejpam-1975	184	5	,	,	PUNCT
ejpam-1975	184	6	a	a	X
ejpam-1975	184	7	)	)	PUNCT
ejpam-1975	184	8	=	=	SYM
ejpam-1975	184	9	f	f	PROPN
ejpam-1975	184	10	(	(	PUNCT
ejpam-1975	184	11	f1	f1	PROPN
ejpam-1975	184	12	,	,	PUNCT
ejpam-1975	184	13	a1)∪̃	a1)∪̃	PROPN
ejpam-1975	184	14	f	f	X
ejpam-1975	184	15	(	(	PUNCT
ejpam-1975	184	16	f2	f2	PROPN
ejpam-1975	184	17	,	,	PUNCT
ejpam-1975	184	18	a2	a2	PROPN
ejpam-1975	184	19	)	)	PUNCT
ejpam-1975	184	20	.	.	PUNCT
ejpam-1975	185	1	hence	hence	ADV
ejpam-1975	185	2	f	f	PROPN
ejpam-1975	185	3	(	(	PUNCT
ejpam-1975	185	4	(	(	PUNCT
ejpam-1975	185	5	f1	f1	NOUN
ejpam-1975	185	6	,	,	PUNCT
ejpam-1975	185	7	a1)∪̃(f2	a1)∪̃(f2	PROPN
ejpam-1975	185	8	,	,	PUNCT
ejpam-1975	185	9	a2	a2	PROPN
ejpam-1975	185	10	)	)	PUNCT
ejpam-1975	185	11	)	)	PUNCT
ejpam-1975	186	1	=	=	SYM
ejpam-1975	186	2	f	f	PROPN
ejpam-1975	186	3	(	(	PUNCT
ejpam-1975	186	4	f1	f1	PROPN
ejpam-1975	186	5	,	,	PUNCT
ejpam-1975	186	6	a1)∪̃	a1)∪̃	PROPN
ejpam-1975	186	7	f	f	X
ejpam-1975	186	8	(	(	PUNCT
ejpam-1975	186	9	f2	f2	PROPN
ejpam-1975	186	10	,	,	PUNCT
ejpam-1975	186	11	a2	a2	PROPN
ejpam-1975	186	12	)	)	PUNCT
ejpam-1975	186	13	.	.	PUNCT
ejpam-1975	187	1	similarly	similarly	ADV
ejpam-1975	187	2	,	,	PUNCT
ejpam-1975	187	3	f	f	PROPN
ejpam-1975	187	4	(	(	PUNCT
ejpam-1975	187	5	∪̃i∈i(fi	∪̃i∈i(fi	INTJ
ejpam-1975	187	6	,	,	PUNCT
ejpam-1975	187	7	ai	ai	NOUN
ejpam-1975	187	8	)	)	PUNCT
ejpam-1975	187	9	)	)	PUNCT
ejpam-1975	187	10	=	=	PUNCT
ejpam-1975	187	11	∪̃i∈i	∪̃i∈i	X
ejpam-1975	187	12	f	f	PROPN
ejpam-1975	187	13	(	(	PUNCT
ejpam-1975	187	14	fi	fi	NOUN
ejpam-1975	187	15	,	,	PUNCT
ejpam-1975	187	16	ai	ai	NOUN
ejpam-1975	187	17	)	)	PUNCT
ejpam-1975	187	18	.	.	PUNCT
ejpam-1975	188	1	(	(	PUNCT
ejpam-1975	188	2	4	4	X
ejpam-1975	188	3	)	)	PUNCT
ejpam-1975	188	4	suppose	suppose	VERB
ejpam-1975	188	5	that	that	SCONJ
ejpam-1975	188	6	(	(	PUNCT
ejpam-1975	188	7	g	g	NOUN
ejpam-1975	188	8	,	,	PUNCT
ejpam-1975	188	9	b	b	NOUN
ejpam-1975	188	10	)	)	PUNCT
ejpam-1975	188	11	=	=	SYM
ejpam-1975	188	12	(	(	PUNCT
ejpam-1975	188	13	g1	g1	PROPN
ejpam-1975	188	14	,	,	PUNCT
ejpam-1975	188	15	b)∪̃(g2	b)∪̃(g2	PROPN
ejpam-1975	188	16	,	,	PUNCT
ejpam-1975	188	17	b	b	NOUN
ejpam-1975	188	18	)	)	PUNCT
ejpam-1975	188	19	.	.	PUNCT
ejpam-1975	189	1	we	we	PRON
ejpam-1975	189	2	we	we	PRON
ejpam-1975	189	3	should	should	AUX
ejpam-1975	189	4	show	show	VERB
ejpam-1975	189	5	that	that	SCONJ
ejpam-1975	189	6	f	f	PROPN
ejpam-1975	189	7	−1(g	−1(g	PROPN
ejpam-1975	189	8	,	,	PUNCT
ejpam-1975	189	9	b	b	NOUN
ejpam-1975	189	10	)	)	PUNCT
ejpam-1975	190	1	=	=	PUNCT
ejpam-1975	190	2	f	f	X
ejpam-1975	190	3	−1(g1	−1(g1	NUM
ejpam-1975	190	4	,	,	PUNCT
ejpam-1975	190	5	b)∪̃	b)∪̃	PROPN
ejpam-1975	190	6	f	f	PROPN
ejpam-1975	190	7	−1(g2	−1(g2	NOUN
ejpam-1975	190	8	,	,	PUNCT
ejpam-1975	190	9	b	b	NOUN
ejpam-1975	190	10	)	)	PUNCT
ejpam-1975	190	11	.	.	PUNCT
ejpam-1975	191	1	then	then	ADV
ejpam-1975	191	2	for	for	ADP
ejpam-1975	191	3	e	e	PROPN
ejpam-1975	191	4	∈	∈	PROPN
ejpam-1975	191	5	e	e	X
ejpam-1975	191	6	and	and	CCONJ
ejpam-1975	191	7	x	x	SYM
ejpam-1975	191	8	∈	∈	NOUN
ejpam-1975	191	9	x	x	PUNCT
ejpam-1975	191	10	∗	∗	NOUN
ejpam-1975	191	11	,	,	PUNCT
ejpam-1975	191	12	c	c	PROPN
ejpam-1975	191	13	f	f	PROPN
ejpam-1975	191	14	−1(g	−1(g	PROPN
ejpam-1975	191	15	,	,	PUNCT
ejpam-1975	191	16	b)(e)(x	b)(e)(x	PROPN
ejpam-1975	191	17	)	)	PUNCT
ejpam-1975	191	18	=	=	NOUN
ejpam-1975	191	19	cg(ψ(e))(ϕ(x	cg(ψ(e))(ϕ(x	X
ejpam-1975	191	20	)	)	PUNCT
ejpam-1975	191	21	)	)	PUNCT
ejpam-1975	192	1	=	=	SYM
ejpam-1975	192	2	max{cg1(ψ(e))(ϕ(x	max{cg1(ψ(e))(ϕ(x	NOUN
ejpam-1975	192	3	)	)	PUNCT
ejpam-1975	192	4	)	)	PUNCT
ejpam-1975	192	5	,	,	PUNCT
ejpam-1975	192	6	cg2(ψ(e))(ϕ(x	cg2(ψ(e))(ϕ(x	NOUN
ejpam-1975	192	7	)	)	PUNCT
ejpam-1975	192	8	)	)	PUNCT
ejpam-1975	192	9	}	}	PUNCT
ejpam-1975	193	1	=	=	NUM
ejpam-1975	193	2	max{c	max{c	NOUN
ejpam-1975	193	3	f	f	PROPN
ejpam-1975	193	4	−1(g1,b1)(e)(x	−1(g1,b1)(e)(x	PROPN
ejpam-1975	193	5	)	)	PUNCT
ejpam-1975	193	6	,	,	PUNCT
ejpam-1975	193	7	c	c	PROPN
ejpam-1975	193	8	f	f	PROPN
ejpam-1975	193	9	−1(g2,b2)(e)(x	−1(g2,b2)(e)(x	PROPN
ejpam-1975	193	10	)	)	PUNCT
ejpam-1975	193	11	}	}	PUNCT
ejpam-1975	193	12	.	.	PUNCT
ejpam-1975	194	1	therefore	therefore	ADV
ejpam-1975	194	2	f	f	X
ejpam-1975	194	3	−1((g1	−1((g1	ADV
ejpam-1975	194	4	,	,	PUNCT
ejpam-1975	194	5	b)∪̃(g2	b)∪̃(g2	PROPN
ejpam-1975	194	6	,	,	PUNCT
ejpam-1975	194	7	b	b	NOUN
ejpam-1975	194	8	)	)	PUNCT
ejpam-1975	194	9	)	)	PUNCT
ejpam-1975	195	1	=	=	PUNCT
ejpam-1975	195	2	f	f	X
ejpam-1975	196	1	−1(g1	−1(g1	NUM
ejpam-1975	196	2	,	,	PUNCT
ejpam-1975	196	3	b)∪̃	b)∪̃	PROPN
ejpam-1975	196	4	f	f	PROPN
ejpam-1975	196	5	−1(g2	−1(g2	NOUN
ejpam-1975	196	6	,	,	PUNCT
ejpam-1975	196	7	b	b	NOUN
ejpam-1975	196	8	)	)	PUNCT
ejpam-1975	196	9	.	.	PUNCT
ejpam-1975	197	1	similarly	similarly	ADV
ejpam-1975	197	2	,	,	PUNCT
ejpam-1975	197	3	f	f	PROPN
ejpam-1975	197	4	−1(∪̃i∈i(gi	−1(∪̃i∈i(gi	NOUN
ejpam-1975	197	5	,	,	PUNCT
ejpam-1975	197	6	b	b	NOUN
ejpam-1975	197	7	)	)	PUNCT
ejpam-1975	197	8	)	)	PUNCT
ejpam-1975	198	1	=	=	PUNCT
ejpam-1975	199	1	∪̃i∈i	∪̃i∈i	X
ejpam-1975	199	2	f	f	PROPN
ejpam-1975	199	3	−1(gi	−1(gi	NOUN
ejpam-1975	199	4	,	,	PUNCT
ejpam-1975	199	5	b	b	NOUN
ejpam-1975	199	6	)	)	PUNCT
ejpam-1975	199	7	.	.	PUNCT
ejpam-1975	200	1	(	(	PUNCT
ejpam-1975	200	2	5	5	X
ejpam-1975	200	3	)	)	PUNCT
ejpam-1975	200	4	suppose	suppose	VERB
ejpam-1975	200	5	that	that	SCONJ
ejpam-1975	200	6	(	(	PUNCT
ejpam-1975	200	7	f	f	X
ejpam-1975	200	8	,	,	PUNCT
ejpam-1975	200	9	a	a	PRON
ejpam-1975	200	10	)	)	PUNCT
ejpam-1975	200	11	=	=	SYM
ejpam-1975	200	12	(	(	PUNCT
ejpam-1975	200	13	f1	f1	PROPN
ejpam-1975	200	14	,	,	PUNCT
ejpam-1975	200	15	a1)∩̃(f2	a1)∩̃(f2	PROPN
ejpam-1975	200	16	,	,	PUNCT
ejpam-1975	200	17	a2	a2	PROPN
ejpam-1975	200	18	)	)	PUNCT
ejpam-1975	200	19	.	.	PUNCT
ejpam-1975	201	1	then	then	ADV
ejpam-1975	201	2	for	for	SCONJ
ejpam-1975	201	3	k	k	PROPN
ejpam-1975	201	4	∈	∈	PROPN
ejpam-1975	201	5	k	k	PROPN
ejpam-1975	201	6	and	and	CCONJ
ejpam-1975	201	7	y	y	PROPN
ejpam-1975	201	8	∈	∈	PROPN
ejpam-1975	201	9	y	y	PROPN
ejpam-1975	201	10	∗	∗	NOUN
ejpam-1975	201	11	,	,	PUNCT
ejpam-1975	201	12	c	c	PROPN
ejpam-1975	201	13	f	f	PROPN
ejpam-1975	201	14	(	(	PUNCT
ejpam-1975	201	15	f	f	PROPN
ejpam-1975	201	16	,	,	PUNCT
ejpam-1975	201	17	a)(k)(y	a)(k)(y	PROPN
ejpam-1975	201	18	)	)	PUNCT
ejpam-1975	201	19	=	=	SYM
ejpam-1975	201	20	sup	sup	NOUN
ejpam-1975	201	21	e∈ψ−1(k)∩(a1∩a2),x∈ϕ−1(y	e∈ψ−1(k)∩(a1∩a2),x∈ϕ−1(y	PROPN
ejpam-1975	201	22	)	)	PUNCT
ejpam-1975	201	23	cf(e	cf(e	PROPN
ejpam-1975	201	24	)	)	PUNCT
ejpam-1975	201	25	(	(	PUNCT
ejpam-1975	201	26	x	x	X
ejpam-1975	201	27	)	)	PUNCT
ejpam-1975	201	28	=	=	SYM
ejpam-1975	202	1	sup	sup	NOUN
ejpam-1975	202	2	e∈ψ−1(k)∩(a1∩a2),x∈ϕ−1(y	e∈ψ−1(k)∩(a1∩a2),x∈ϕ−1(y	PROPN
ejpam-1975	202	3	)	)	PUNCT
ejpam-1975	202	4	min{cf1(e	min{cf1(e	PROPN
ejpam-1975	202	5	)	)	PUNCT
ejpam-1975	202	6	(	(	PUNCT
ejpam-1975	202	7	x	x	X
ejpam-1975	202	8	)	)	PUNCT
ejpam-1975	202	9	,	,	PUNCT
ejpam-1975	202	10	cf2(e	cf2(e	PROPN
ejpam-1975	202	11	)	)	PUNCT
ejpam-1975	202	12	(	(	PUNCT
ejpam-1975	202	13	x	x	X
ejpam-1975	202	14	)	)	PUNCT
ejpam-1975	202	15	}	}	PUNCT
ejpam-1975	203	1	=	=	NOUN
ejpam-1975	203	2	min	min	NOUN
ejpam-1975	203	3	{	{	PUNCT
ejpam-1975	203	4	sup	sup	NOUN
ejpam-1975	203	5	e∈ψ−1(k)∩(a1∩a2),x∈ϕ−1(y	e∈ψ−1(k)∩(a1∩a2),x∈ϕ−1(y	PROPN
ejpam-1975	203	6	)	)	PUNCT
ejpam-1975	203	7	cf1(e	cf1(e	PROPN
ejpam-1975	203	8	)	)	PUNCT
ejpam-1975	203	9	(	(	PUNCT
ejpam-1975	203	10	x	x	X
ejpam-1975	203	11	)	)	PUNCT
ejpam-1975	203	12	,	,	PUNCT
ejpam-1975	203	13	sup	sup	NOUN
ejpam-1975	203	14	e∈ψ−1(k)∩(a1∩a2),x∈ϕ−1(y	e∈ψ−1(k)∩(a1∩a2),x∈ϕ−1(y	PROPN
ejpam-1975	203	15	)	)	PUNCT
ejpam-1975	203	16	cf2(e	cf2(e	NOUN
ejpam-1975	203	17	)	)	PUNCT
ejpam-1975	203	18	(	(	PUNCT
ejpam-1975	203	19	x	x	NOUN
ejpam-1975	203	20	)	)	PUNCT
ejpam-1975	203	21	}	}	PUNCT
ejpam-1975	203	22	≤min	≤min	NUM
ejpam-1975	203	23	{	{	PUNCT
ejpam-1975	203	24	sup	sup	PROPN
ejpam-1975	203	25	e∈ψ−1(k)∩a1,x∈ϕ−1(y	e∈ψ−1(k)∩a1,x∈ϕ−1(y	PROPN
ejpam-1975	203	26	)	)	PUNCT
ejpam-1975	203	27	cf1(e	cf1(e	PROPN
ejpam-1975	203	28	)	)	PUNCT
ejpam-1975	203	29	(	(	PUNCT
ejpam-1975	203	30	x	x	X
ejpam-1975	203	31	)	)	PUNCT
ejpam-1975	203	32	,	,	PUNCT
ejpam-1975	203	33	sup	sup	NOUN
ejpam-1975	203	34	e∈ψ−1(k)∩a2,x∈ϕ−1(y	e∈ψ−1(k)∩a2,x∈ϕ−1(y	NOUN
ejpam-1975	203	35	)	)	PUNCT
ejpam-1975	203	36	cf2(e	cf2(e	NOUN
ejpam-1975	203	37	)	)	PUNCT
ejpam-1975	203	38	(	(	PUNCT
ejpam-1975	203	39	x	x	X
ejpam-1975	203	40	)	)	PUNCT
ejpam-1975	203	41	}	}	PUNCT
ejpam-1975	204	1	=	=	NOUN
ejpam-1975	204	2	min{c	min{c	X
ejpam-1975	204	3	f	f	X
ejpam-1975	204	4	(	(	PUNCT
ejpam-1975	204	5	f1,a1)(k)(y	f1,a1)(k)(y	PROPN
ejpam-1975	204	6	)	)	PUNCT
ejpam-1975	204	7	,	,	PUNCT
ejpam-1975	204	8	c	c	PROPN
ejpam-1975	204	9	f	f	X
ejpam-1975	204	10	(	(	PUNCT
ejpam-1975	204	11	f2,a2)(k)(y	f2,a2)(k)(y	PROPN
ejpam-1975	204	12	)	)	PUNCT
ejpam-1975	204	13	}	}	PUNCT
ejpam-1975	204	14	.	.	PUNCT
ejpam-1975	205	1	therefore	therefore	ADV
ejpam-1975	205	2	f	f	X
ejpam-1975	205	3	(	(	PUNCT
ejpam-1975	205	4	(	(	PUNCT
ejpam-1975	205	5	f1	f1	NOUN
ejpam-1975	205	6	,	,	PUNCT
ejpam-1975	205	7	a1)∩̃(f2	a1)∩̃(f2	PROPN
ejpam-1975	205	8	,	,	PUNCT
ejpam-1975	205	9	a2))⊆̃	a2))⊆̃	PROPN
ejpam-1975	205	10	f	f	PROPN
ejpam-1975	205	11	(	(	PUNCT
ejpam-1975	205	12	f1	f1	PROPN
ejpam-1975	205	13	,	,	PUNCT
ejpam-1975	205	14	a1)∩̃	a1)∩̃	NOUN
ejpam-1975	205	15	f	f	PROPN
ejpam-1975	205	16	(	(	PUNCT
ejpam-1975	205	17	f2	f2	PROPN
ejpam-1975	205	18	,	,	PUNCT
ejpam-1975	205	19	a2	a2	PROPN
ejpam-1975	205	20	)	)	PUNCT
ejpam-1975	205	21	.	.	PUNCT
ejpam-1975	206	1	similarly	similarly	ADV
ejpam-1975	206	2	,	,	PUNCT
ejpam-1975	206	3	f	f	PROPN
ejpam-1975	206	4	(	(	PUNCT
ejpam-1975	206	5	∪̃i∈i(fi	∪̃i∈i(fi	INTJ
ejpam-1975	206	6	,	,	PUNCT
ejpam-1975	206	7	ai))⊆̃∪̃i∈i	ai))⊆̃∪̃i∈i	ADJ
ejpam-1975	206	8	f	f	X
ejpam-1975	206	9	(	(	PUNCT
ejpam-1975	206	10	fi	fi	NOUN
ejpam-1975	206	11	,	,	PUNCT
ejpam-1975	206	12	ai	ai	NOUN
ejpam-1975	206	13	)	)	PUNCT
ejpam-1975	206	14	.	.	PUNCT
ejpam-1975	207	1	(	(	PUNCT
ejpam-1975	207	2	6	6	X
ejpam-1975	207	3	)	)	PUNCT
ejpam-1975	207	4	suppose	suppose	VERB
ejpam-1975	207	5	that	that	SCONJ
ejpam-1975	207	6	(	(	PUNCT
ejpam-1975	207	7	g	g	NOUN
ejpam-1975	207	8	,	,	PUNCT
ejpam-1975	207	9	b	b	NOUN
ejpam-1975	207	10	)	)	PUNCT
ejpam-1975	207	11	=	=	SYM
ejpam-1975	207	12	(	(	PUNCT
ejpam-1975	207	13	g1	g1	PROPN
ejpam-1975	207	14	,	,	PUNCT
ejpam-1975	207	15	b)∩̃(g2	b)∩̃(g2	ADV
ejpam-1975	207	16	,	,	PUNCT
ejpam-1975	207	17	b	b	NOUN
ejpam-1975	207	18	)	)	PUNCT
ejpam-1975	207	19	.	.	PUNCT
ejpam-1975	208	1	we	we	PRON
ejpam-1975	208	2	we	we	PRON
ejpam-1975	208	3	should	should	AUX
ejpam-1975	208	4	show	show	VERB
ejpam-1975	208	5	that	that	SCONJ
ejpam-1975	208	6	f	f	PROPN
ejpam-1975	208	7	−1(g	−1(g	PROPN
ejpam-1975	208	8	,	,	PUNCT
ejpam-1975	208	9	b	b	NOUN
ejpam-1975	208	10	)	)	PUNCT
ejpam-1975	208	11	=	=	PUNCT
ejpam-1975	209	1	f	f	X
ejpam-1975	209	2	−1(g1	−1(g1	PROPN
ejpam-1975	209	3	,	,	PUNCT
ejpam-1975	209	4	b)∩̃	b)∩̃	PROPN
ejpam-1975	209	5	f	f	PROPN
ejpam-1975	209	6	−1(g2	−1(g2	PROPN
ejpam-1975	209	7	,	,	PUNCT
ejpam-1975	209	8	b	b	NOUN
ejpam-1975	209	9	)	)	PUNCT
ejpam-1975	209	10	.	.	PUNCT
ejpam-1975	210	1	then	then	ADV
ejpam-1975	210	2	for	for	ADP
ejpam-1975	210	3	e	e	PROPN
ejpam-1975	210	4	∈	∈	PROPN
ejpam-1975	210	5	e	e	X
ejpam-1975	210	6	and	and	CCONJ
ejpam-1975	210	7	x	x	SYM
ejpam-1975	210	8	∈	∈	NOUN
ejpam-1975	210	9	x	x	PUNCT
ejpam-1975	210	10	∗	∗	NOUN
ejpam-1975	210	11	,	,	PUNCT
ejpam-1975	210	12	c	c	PROPN
ejpam-1975	210	13	f	f	PROPN
ejpam-1975	210	14	−1(g	−1(g	PROPN
ejpam-1975	210	15	,	,	PUNCT
ejpam-1975	210	16	b)(e)(x	b)(e)(x	PROPN
ejpam-1975	210	17	)	)	PUNCT
ejpam-1975	210	18	=	=	NOUN
ejpam-1975	210	19	cg(ψ(e))(ϕ(x	cg(ψ(e))(ϕ(x	X
ejpam-1975	210	20	)	)	PUNCT
ejpam-1975	210	21	)	)	PUNCT
ejpam-1975	211	1	=	=	SYM
ejpam-1975	211	2	min{cg1(ψ(e))(ϕ(x	min{cg1(ψ(e))(ϕ(x	X
ejpam-1975	211	3	)	)	PUNCT
ejpam-1975	211	4	)	)	PUNCT
ejpam-1975	211	5	,	,	PUNCT
ejpam-1975	211	6	cg2(ψ(e))(ϕ(x	cg2(ψ(e))(ϕ(x	NOUN
ejpam-1975	211	7	)	)	PUNCT
ejpam-1975	211	8	)	)	PUNCT
ejpam-1975	211	9	}	}	PUNCT
ejpam-1975	212	1	=	=	NOUN
ejpam-1975	212	2	min{c	min{c	X
ejpam-1975	212	3	f	f	PROPN
ejpam-1975	212	4	−1(g1,b1)(e)(x	−1(g1,b1)(e)(x	PROPN
ejpam-1975	212	5	)	)	PUNCT
ejpam-1975	212	6	,	,	PUNCT
ejpam-1975	212	7	c	c	PROPN
ejpam-1975	212	8	f	f	PROPN
ejpam-1975	212	9	−1(g2,b2)(e)(x	−1(g2,b2)(e)(x	PROPN
ejpam-1975	212	10	)	)	PUNCT
ejpam-1975	212	11	}	}	PUNCT
ejpam-1975	212	12	.	.	PUNCT
ejpam-1975	213	1	therefore	therefore	ADV
ejpam-1975	213	2	f	f	X
ejpam-1975	213	3	−1((g1	−1((g1	ADV
ejpam-1975	213	4	,	,	PUNCT
ejpam-1975	213	5	b)∩̃(g2	b)∩̃(g2	ADV
ejpam-1975	213	6	,	,	PUNCT
ejpam-1975	213	7	b	b	NOUN
ejpam-1975	213	8	)	)	PUNCT
ejpam-1975	213	9	)	)	PUNCT
ejpam-1975	214	1	=	=	PUNCT
ejpam-1975	214	2	f	f	X
ejpam-1975	215	1	−1(g1	−1(g1	PROPN
ejpam-1975	215	2	,	,	PUNCT
ejpam-1975	215	3	b)∩̃	b)∩̃	PROPN
ejpam-1975	215	4	f	f	PROPN
ejpam-1975	215	5	−1(g2	−1(g2	PROPN
ejpam-1975	215	6	,	,	PUNCT
ejpam-1975	215	7	b	b	NOUN
ejpam-1975	215	8	)	)	PUNCT
ejpam-1975	215	9	.	.	PUNCT
ejpam-1975	216	1	similarly	similarly	ADV
ejpam-1975	216	2	,	,	PUNCT
ejpam-1975	216	3	f	f	PROPN
ejpam-1975	216	4	−1(∩̃i∈i(gi	−1(∩̃i∈i(gi	PROPN
ejpam-1975	216	5	,	,	PUNCT
ejpam-1975	216	6	b	b	NOUN
ejpam-1975	216	7	)	)	PUNCT
ejpam-1975	216	8	)	)	PUNCT
ejpam-1975	217	1	=	=	PUNCT
ejpam-1975	218	1	∩̃i∈i	∩̃i∈i	NUM
ejpam-1975	218	2	f	f	PROPN
ejpam-1975	218	3	−1(gi	−1(gi	NOUN
ejpam-1975	218	4	,	,	PUNCT
ejpam-1975	218	5	b	b	NOUN
ejpam-1975	218	6	)	)	PUNCT
ejpam-1975	218	7	.	.	PUNCT
ejpam-1975	219	1	i̇.	i̇.	PROPN
ejpam-1975	219	2	osmanoğlu	osmanoğlu	PROPN
ejpam-1975	219	3	,	,	PUNCT
ejpam-1975	219	4	d.	d.	PROPN
ejpam-1975	219	5	tokat	tokat	PROPN
ejpam-1975	219	6	/	/	SYM
ejpam-1975	219	7	eur	eur	PROPN
ejpam-1975	219	8	.	.	PUNCT
ejpam-1975	220	1	j.	j.	PROPN
ejpam-1975	220	2	pure	pure	PROPN
ejpam-1975	220	3	appl	appl	PROPN
ejpam-1975	220	4	.	.	PROPN
ejpam-1975	220	5	math	math	PROPN
ejpam-1975	220	6	,	,	PUNCT
ejpam-1975	220	7	7	7	NUM
ejpam-1975	220	8	(	(	PUNCT
ejpam-1975	220	9	2014	2014	NUM
ejpam-1975	220	10	)	)	PUNCT
ejpam-1975	220	11	,	,	PUNCT
ejpam-1975	220	12	97	97	NUM
ejpam-1975	220	13	-	-	SYM
ejpam-1975	220	14	108	108	NUM
ejpam-1975	220	15	105	105	NUM
ejpam-1975	220	16	(	(	PUNCT
ejpam-1975	220	17	7	7	NUM
ejpam-1975	220	18	)	)	PUNCT
ejpam-1975	220	19	suppose	suppose	VERB
ejpam-1975	220	20	that	that	SCONJ
ejpam-1975	220	21	(	(	PUNCT
ejpam-1975	220	22	f1	f1	NOUN
ejpam-1975	220	23	,	,	PUNCT
ejpam-1975	220	24	a1)⊆̃(f2	a1)⊆̃(f2	PROPN
ejpam-1975	220	25	,	,	PUNCT
ejpam-1975	220	26	a2	a2	PROPN
ejpam-1975	220	27	)	)	PUNCT
ejpam-1975	220	28	.	.	PUNCT
ejpam-1975	221	1	then	then	ADV
ejpam-1975	221	2	for	for	ADP
ejpam-1975	221	3	all	all	DET
ejpam-1975	221	4	e	e	NOUN
ejpam-1975	221	5	∈	∈	PROPN
ejpam-1975	221	6	e	e	NOUN
ejpam-1975	221	7	and	and	CCONJ
ejpam-1975	221	8	x	x	SYM
ejpam-1975	221	9	∈	∈	NOUN
ejpam-1975	221	10	x	x	SYM
ejpam-1975	221	11	∗	∗	NOUN
ejpam-1975	221	12	,	,	PUNCT
ejpam-1975	221	13	cf1(e	cf1(e	PROPN
ejpam-1975	221	14	)	)	PUNCT
ejpam-1975	221	15	(	(	PUNCT
ejpam-1975	221	16	x	x	X
ejpam-1975	221	17	)	)	PUNCT
ejpam-1975	221	18	≤	≤	NOUN
ejpam-1975	221	19	cf2(e	cf2(e	NOUN
ejpam-1975	221	20	)	)	PUNCT
ejpam-1975	221	21	(	(	PUNCT
ejpam-1975	221	22	x	x	NOUN
ejpam-1975	221	23	)	)	PUNCT
ejpam-1975	221	24	.	.	PUNCT
ejpam-1975	222	1	hence	hence	ADV
ejpam-1975	222	2	for	for	ADP
ejpam-1975	222	3	k	k	PROPN
ejpam-1975	222	4	∈	∈	PROPN
ejpam-1975	222	5	k	k	PROPN
ejpam-1975	222	6	and	and	CCONJ
ejpam-1975	222	7	y	y	PROPN
ejpam-1975	222	8	∈	∈	PROPN
ejpam-1975	222	9	y	y	PROPN
ejpam-1975	222	10	∗	∗	NOUN
ejpam-1975	222	11	,	,	PUNCT
ejpam-1975	222	12	c	c	PROPN
ejpam-1975	222	13	f	f	X
ejpam-1975	222	14	(	(	PUNCT
ejpam-1975	222	15	f1,a1)(k)(y	f1,a1)(k)(y	PROPN
ejpam-1975	222	16	)	)	PUNCT
ejpam-1975	223	1	=	=	SYM
ejpam-1975	223	2	sup	sup	NOUN
ejpam-1975	223	3	e∈ψ−1(k)∩a1,x∈ϕ−1(y	e∈ψ−1(k)∩a1,x∈ϕ−1(y	PROPN
ejpam-1975	223	4	)	)	PUNCT
ejpam-1975	223	5	cf1(e	cf1(e	PROPN
ejpam-1975	223	6	)	)	PUNCT
ejpam-1975	223	7	(	(	PUNCT
ejpam-1975	223	8	x	x	X
ejpam-1975	223	9	)	)	PUNCT
ejpam-1975	223	10	≤	≤	NUM
ejpam-1975	223	11	sup	sup	NOUN
ejpam-1975	223	12	e∈ψ−1(k)∩a2,x∈ϕ−1(y	e∈ψ−1(k)∩a2,x∈ϕ−1(y	PROPN
ejpam-1975	223	13	)	)	PUNCT
ejpam-1975	223	14	cf2(e	cf2(e	NOUN
ejpam-1975	223	15	)	)	PUNCT
ejpam-1975	223	16	(	(	PUNCT
ejpam-1975	223	17	x	x	X
ejpam-1975	223	18	)	)	PUNCT
ejpam-1975	224	1	=	=	NOUN
ejpam-1975	224	2	c	c	NOUN
ejpam-1975	224	3	f	f	X
ejpam-1975	224	4	(	(	PUNCT
ejpam-1975	224	5	f2,a2)(k)(y	f2,a2)(k)(y	PROPN
ejpam-1975	224	6	)	)	PUNCT
ejpam-1975	224	7	.	.	PUNCT
ejpam-1975	225	1	this	this	PRON
ejpam-1975	225	2	show	show	VERB
ejpam-1975	225	3	that	that	SCONJ
ejpam-1975	225	4	f	f	PROPN
ejpam-1975	225	5	(	(	PUNCT
ejpam-1975	225	6	f1	f1	PROPN
ejpam-1975	225	7	,	,	PUNCT
ejpam-1975	225	8	a1)⊆̃	a1)⊆̃	PROPN
ejpam-1975	225	9	f	f	PROPN
ejpam-1975	225	10	(	(	PUNCT
ejpam-1975	225	11	f2	f2	PROPN
ejpam-1975	225	12	,	,	PUNCT
ejpam-1975	225	13	a2	a2	PROPN
ejpam-1975	225	14	)	)	PUNCT
ejpam-1975	225	15	.	.	PUNCT
ejpam-1975	226	1	(	(	PUNCT
ejpam-1975	226	2	8)	8)	NUM
ejpam-1975	226	3	suppose	suppose	VERB
ejpam-1975	226	4	that	that	SCONJ
ejpam-1975	226	5	(	(	PUNCT
ejpam-1975	226	6	g1	g1	PROPN
ejpam-1975	226	7	,	,	PUNCT
ejpam-1975	226	8	b1)⊆̃(g2	b1)⊆̃(g2	PROPN
ejpam-1975	226	9	,	,	PUNCT
ejpam-1975	226	10	b2	b2	NOUN
ejpam-1975	226	11	)	)	PUNCT
ejpam-1975	226	12	.	.	PUNCT
ejpam-1975	227	1	then	then	ADV
ejpam-1975	227	2	for	for	ADP
ejpam-1975	227	3	all	all	DET
ejpam-1975	227	4	k	k	PROPN
ejpam-1975	227	5	∈	∈	PROPN
ejpam-1975	227	6	k	k	PROPN
ejpam-1975	227	7	and	and	CCONJ
ejpam-1975	227	8	y	y	PROPN
ejpam-1975	227	9	∈	∈	PROPN
ejpam-1975	227	10	y	y	PROPN
ejpam-1975	227	11	∗	∗	NOUN
ejpam-1975	227	12	,	,	PUNCT
ejpam-1975	227	13	cg1(k	cg1(k	PROPN
ejpam-1975	227	14	)	)	PUNCT
ejpam-1975	227	15	�	�	PROPN
ejpam-1975	227	16	y	y	PROPN
ejpam-1975	227	17	�	�	PROPN
ejpam-1975	227	18	≤	≤	PROPN
ejpam-1975	227	19	cg2(k	cg2(k	PROPN
ejpam-1975	227	20	)	)	PUNCT
ejpam-1975	227	21	�	�	PROPN
ejpam-1975	227	22	y	y	PROPN
ejpam-1975	227	23	�	�	PROPN
ejpam-1975	227	24	.	.	PUNCT
ejpam-1975	228	1	hence	hence	ADV
ejpam-1975	228	2	for	for	ADP
ejpam-1975	228	3	e	e	PROPN
ejpam-1975	228	4	∈	∈	PROPN
ejpam-1975	228	5	e	e	X
ejpam-1975	228	6	and	and	CCONJ
ejpam-1975	228	7	x	x	SYM
ejpam-1975	228	8	∈	∈	NOUN
ejpam-1975	228	9	x	x	PUNCT
ejpam-1975	228	10	∗	∗	NOUN
ejpam-1975	228	11	,	,	PUNCT
ejpam-1975	228	12	c	c	PROPN
ejpam-1975	228	13	f	f	PROPN
ejpam-1975	228	14	−1(g1,b1)(e)(x	−1(g1,b1)(e)(x	PROPN
ejpam-1975	228	15	)	)	PUNCT
ejpam-1975	228	16	=	=	SYM
ejpam-1975	228	17	cg1(ψ(e))(ϕ(x	cg1(ψ(e))(ϕ(x	NOUN
ejpam-1975	228	18	)	)	PUNCT
ejpam-1975	228	19	)	)	PUNCT
ejpam-1975	228	20	≤cg2(ψ(e))(ϕ(x	≤cg2(ψ(e))(ϕ(x	PROPN
ejpam-1975	228	21	)	)	PUNCT
ejpam-1975	228	22	)	)	PUNCT
ejpam-1975	229	1	=	=	PUNCT
ejpam-1975	229	2	c	c	X
ejpam-1975	229	3	f	f	X
ejpam-1975	229	4	−1(g2,b2)(e)(x	−1(g2,b2)(e)(x	NOUN
ejpam-1975	229	5	)	)	PUNCT
ejpam-1975	229	6	where	where	SCONJ
ejpam-1975	229	7	ψ(e	ψ(e	PROPN
ejpam-1975	229	8	)	)	PUNCT
ejpam-1975	229	9	∈	∈	PROPN
ejpam-1975	229	10	k	k	PROPN
ejpam-1975	229	11	and	and	CCONJ
ejpam-1975	229	12	ϕ(x	ϕ(x	NOUN
ejpam-1975	229	13	)	)	PUNCT
ejpam-1975	229	14	∈	∈	PROPN
ejpam-1975	230	1	y	y	NOUN
ejpam-1975	230	2	∗.	∗.	PROPN
ejpam-1975	230	3	this	this	PRON
ejpam-1975	230	4	show	show	VERB
ejpam-1975	230	5	that	that	SCONJ
ejpam-1975	230	6	f	f	PROPN
ejpam-1975	230	7	−1(g1	−1(g1	PROPN
ejpam-1975	230	8	,	,	PUNCT
ejpam-1975	230	9	b1)⊆̃	b1)⊆̃	PROPN
ejpam-1975	230	10	f	f	PROPN
ejpam-1975	230	11	−1(g2	−1(g2	PROPN
ejpam-1975	230	12	,	,	PUNCT
ejpam-1975	230	13	b2	b2	NOUN
ejpam-1975	230	14	)	)	PUNCT
ejpam-1975	230	15	.	.	PUNCT
ejpam-1975	231	1	4	4	X
ejpam-1975	231	2	.	.	X
ejpam-1975	231	3	compact	compact	ADJ
ejpam-1975	231	4	soft	soft	ADJ
ejpam-1975	231	5	multi	multi	ADJ
ejpam-1975	231	6	spaces	space	NOUN
ejpam-1975	231	7	in	in	ADP
ejpam-1975	231	8	this	this	DET
ejpam-1975	231	9	section	section	NOUN
ejpam-1975	231	10	,	,	PUNCT
ejpam-1975	231	11	we	we	PRON
ejpam-1975	231	12	introduced	introduce	VERB
ejpam-1975	231	13	soft	soft	ADJ
ejpam-1975	231	14	multi	multi	ADJ
ejpam-1975	231	15	compactness	compactness	NOUN
ejpam-1975	231	16	on	on	ADP
ejpam-1975	231	17	soft	soft	ADJ
ejpam-1975	231	18	multi	multi	ADJ
ejpam-1975	231	19	topological	topological	ADJ
ejpam-1975	231	20	space	space	NOUN
ejpam-1975	231	21	and	and	CCONJ
ejpam-1975	231	22	give	give	VERB
ejpam-1975	231	23	basic	basic	ADJ
ejpam-1975	231	24	definitions	definition	NOUN
ejpam-1975	231	25	and	and	CCONJ
ejpam-1975	231	26	theorems	theorem	NOUN
ejpam-1975	231	27	about	about	ADP
ejpam-1975	231	28	it	it	PRON
ejpam-1975	231	29	.	.	PUNCT
ejpam-1975	232	1	definition	definition	NOUN
ejpam-1975	232	2	17	17	NUM
ejpam-1975	232	3	.	.	PUNCT
ejpam-1975	233	1	let	let	VERB
ejpam-1975	233	2	�	�	PROPN
ejpam-1975	233	3	xe	xe	PROPN
ejpam-1975	233	4	,	,	PUNCT
ejpam-1975	233	5	τ	τ	PROPN
ejpam-1975	233	6	�	�	PROPN
ejpam-1975	233	7	and	and	CCONJ
ejpam-1975	233	8	�	�	PROPN
ejpam-1975	233	9	yk	yk	PROPN
ejpam-1975	233	10	,	,	PUNCT
ejpam-1975	233	11	σ	σ	PROPN
ejpam-1975	233	12	�	�	PROPN
ejpam-1975	233	13	be	be	AUX
ejpam-1975	233	14	two	two	NUM
ejpam-1975	233	15	soft	soft	ADJ
ejpam-1975	233	16	multi	multi	ADJ
ejpam-1975	233	17	topological	topological	ADJ
ejpam-1975	233	18	spaces	space	NOUN
ejpam-1975	233	19	.	.	PUNCT
ejpam-1975	234	1	(	(	PUNCT
ejpam-1975	234	2	1	1	X
ejpam-1975	234	3	)	)	PUNCT
ejpam-1975	234	4	a	a	DET
ejpam-1975	234	5	soft	soft	ADJ
ejpam-1975	234	6	multi	multi	NOUN
ejpam-1975	234	7	function	function	NOUN
ejpam-1975	234	8	f	f	PROPN
ejpam-1975	234	9	:	:	PUNCT
ejpam-1975	234	10	�	�	PROPN
ejpam-1975	234	11	xe	xe	PROPN
ejpam-1975	234	12	,	,	PUNCT
ejpam-1975	234	13	τ	τ	PROPN
ejpam-1975	234	14	�	�	PROPN
ejpam-1975	234	15	→	→	SYM
ejpam-1975	234	16	�	�	PROPN
ejpam-1975	234	17	yk	yk	PROPN
ejpam-1975	234	18	,	,	PUNCT
ejpam-1975	234	19	σ	σ	PROPN
ejpam-1975	234	20	�	�	PROPN
ejpam-1975	234	21	is	be	AUX
ejpam-1975	234	22	called	call	VERB
ejpam-1975	234	23	soft	soft	ADJ
ejpam-1975	234	24	multi	multi	NOUN
ejpam-1975	234	25	continuous	continuous	ADJ
ejpam-1975	234	26	if	if	SCONJ
ejpam-1975	234	27	for	for	ADP
ejpam-1975	234	28	all	all	DET
ejpam-1975	234	29	(	(	PUNCT
ejpam-1975	234	30	g	g	PROPN
ejpam-1975	234	31	,	,	PUNCT
ejpam-1975	234	32	b	b	NOUN
ejpam-1975	234	33	)	)	PUNCT
ejpam-1975	234	34	∈	∈	PROPN
ejpam-1975	234	35	σ	σ	PROPN
ejpam-1975	234	36	,	,	PUNCT
ejpam-1975	234	37	f	f	PROPN
ejpam-1975	234	38	−1(g	−1(g	PROPN
ejpam-1975	234	39	,	,	PUNCT
ejpam-1975	234	40	b	b	X
ejpam-1975	234	41	)	)	PUNCT
ejpam-1975	234	42	∈	∈	PROPN
ejpam-1975	234	43	τ	τ	PROPN
ejpam-1975	234	44	.	.	PUNCT
ejpam-1975	235	1	(	(	PUNCT
ejpam-1975	235	2	2	2	X
ejpam-1975	235	3	)	)	PUNCT
ejpam-1975	235	4	a	a	DET
ejpam-1975	235	5	soft	soft	ADJ
ejpam-1975	235	6	multi	multi	NOUN
ejpam-1975	235	7	function	function	NOUN
ejpam-1975	235	8	f	f	PROPN
ejpam-1975	235	9	:	:	PUNCT
ejpam-1975	235	10	�	�	PROPN
ejpam-1975	235	11	xe	xe	PROPN
ejpam-1975	235	12	,	,	PUNCT
ejpam-1975	235	13	τ	τ	PROPN
ejpam-1975	235	14	�	�	PROPN
ejpam-1975	235	15	→	→	SYM
ejpam-1975	235	16	�	�	PROPN
ejpam-1975	235	17	yk	yk	PROPN
ejpam-1975	235	18	,	,	PUNCT
ejpam-1975	235	19	σ	σ	PROPN
ejpam-1975	235	20	�	�	PROPN
ejpam-1975	235	21	is	be	AUX
ejpam-1975	235	22	called	call	VERB
ejpam-1975	235	23	soft	soft	ADJ
ejpam-1975	235	24	multi	multi	NOUN
ejpam-1975	235	25	open	open	ADJ
ejpam-1975	235	26	if	if	SCONJ
ejpam-1975	235	27	for	for	ADP
ejpam-1975	235	28	all	all	DET
ejpam-1975	235	29	(	(	PUNCT
ejpam-1975	235	30	f	f	X
ejpam-1975	235	31	,	,	PUNCT
ejpam-1975	235	32	a	a	PRON
ejpam-1975	235	33	)	)	PUNCT
ejpam-1975	235	34	∈	∈	PROPN
ejpam-1975	235	35	τ	τ	PROPN
ejpam-1975	235	36	,	,	PUNCT
ejpam-1975	235	37	f	f	PROPN
ejpam-1975	235	38	(	(	PUNCT
ejpam-1975	235	39	f	f	PROPN
ejpam-1975	235	40	,	,	PUNCT
ejpam-1975	235	41	a	a	PRON
ejpam-1975	235	42	)	)	PUNCT
ejpam-1975	235	43	∈	∈	PROPN
ejpam-1975	235	44	σ	σ	PROPN
ejpam-1975	235	45	.	.	PUNCT
ejpam-1975	235	46	definition	definition	NOUN
ejpam-1975	235	47	18	18	NUM
ejpam-1975	235	48	.	.	PUNCT
ejpam-1975	236	1	a	a	DET
ejpam-1975	236	2	family	family	NOUN
ejpam-1975	236	3	ψ	ψ	X
ejpam-1975	236	4	of	of	ADP
ejpam-1975	236	5	soft	soft	ADJ
ejpam-1975	236	6	multisets	multiset	NOUN
ejpam-1975	236	7	is	be	AUX
ejpam-1975	236	8	a	a	DET
ejpam-1975	236	9	cover	cover	NOUN
ejpam-1975	236	10	of	of	ADP
ejpam-1975	236	11	a	a	DET
ejpam-1975	236	12	soft	soft	ADJ
ejpam-1975	236	13	multiset	multiset	NOUN
ejpam-1975	236	14	(	(	PUNCT
ejpam-1975	236	15	f	f	X
ejpam-1975	236	16	,	,	PUNCT
ejpam-1975	236	17	a	a	PRON
ejpam-1975	236	18	)	)	PUNCT
ejpam-1975	236	19	if	if	SCONJ
ejpam-1975	236	20	(	(	PUNCT
ejpam-1975	236	21	f	f	X
ejpam-1975	236	22	,	,	PUNCT
ejpam-1975	236	23	a)⊆	a)⊆	X
ejpam-1975	236	24	∪	∪	ADP
ejpam-1975	236	25	�	�	PROPN
ejpam-1975	236	26	�	�	PROPN
ejpam-1975	236	27	fi	fi	NOUN
ejpam-1975	236	28	,	,	PUNCT
ejpam-1975	236	29	a	a	DET
ejpam-1975	236	30	�	�	PROPN
ejpam-1975	236	31	:	:	PUNCT
ejpam-1975	236	32	�	�	PROPN
ejpam-1975	236	33	fi	fi	PROPN
ejpam-1975	236	34	,	,	PUNCT
ejpam-1975	236	35	a	a	DET
ejpam-1975	236	36	�	�	PROPN
ejpam-1975	236	37	∈ψ	∈ψ	PROPN
ejpam-1975	236	38	,	,	PUNCT
ejpam-1975	236	39	i	i	PRON
ejpam-1975	236	40	∈	∈	VERB
ejpam-1975	236	41	i	i	PRON
ejpam-1975	236	42	.	.	PUNCT
ejpam-1975	237	1	it	it	PRON
ejpam-1975	237	2	is	be	AUX
ejpam-1975	237	3	a	a	DET
ejpam-1975	237	4	soft	soft	ADJ
ejpam-1975	237	5	multi	multi	ADJ
ejpam-1975	237	6	open	open	ADJ
ejpam-1975	237	7	cover	cover	NOUN
ejpam-1975	237	8	if	if	SCONJ
ejpam-1975	237	9	each	each	DET
ejpam-1975	237	10	member	member	NOUN
ejpam-1975	237	11	of	of	ADP
ejpam-1975	237	12	ψ	ψ	PROPN
ejpam-1975	237	13	is	be	AUX
ejpam-1975	237	14	a	a	DET
ejpam-1975	237	15	soft	soft	ADJ
ejpam-1975	237	16	multi	multi	ADJ
ejpam-1975	237	17	open	open	ADJ
ejpam-1975	237	18	set	set	NOUN
ejpam-1975	237	19	.	.	PUNCT
ejpam-1975	238	1	a	a	DET
ejpam-1975	238	2	subcover	subcover	NOUN
ejpam-1975	238	3	of	of	ADP
ejpam-1975	238	4	ψ	ψ	PROPN
ejpam-1975	238	5	is	be	AUX
ejpam-1975	238	6	a	a	DET
ejpam-1975	238	7	subfamily	subfamily	NOUN
ejpam-1975	238	8	of	of	ADP
ejpam-1975	238	9	ψ	ψ	PRON
ejpam-1975	238	10	which	which	PRON
ejpam-1975	238	11	is	be	AUX
ejpam-1975	238	12	also	also	ADV
ejpam-1975	238	13	a	a	DET
ejpam-1975	238	14	cover	cover	NOUN
ejpam-1975	238	15	.	.	PUNCT
ejpam-1975	239	1	definition	definition	NOUN
ejpam-1975	239	2	19	19	NUM
ejpam-1975	239	3	.	.	PUNCT
ejpam-1975	240	1	let	let	VERB
ejpam-1975	240	2	(	(	PUNCT
ejpam-1975	240	3	xe	xe	PROPN
ejpam-1975	240	4	,	,	PUNCT
ejpam-1975	240	5	τ	τ	PROPN
ejpam-1975	240	6	)	)	PUNCT
ejpam-1975	240	7	be	be	AUX
ejpam-1975	240	8	soft	soft	ADJ
ejpam-1975	240	9	multi	multi	ADJ
ejpam-1975	240	10	topological	topological	ADJ
ejpam-1975	240	11	space	space	NOUN
ejpam-1975	240	12	and	and	CCONJ
ejpam-1975	240	13	(	(	PUNCT
ejpam-1975	240	14	f	f	X
ejpam-1975	240	15	,	,	PUNCT
ejpam-1975	240	16	a	a	PRON
ejpam-1975	240	17	)	)	PUNCT
ejpam-1975	240	18	∈	∈	PROPN
ejpam-1975	240	19	fs(x	fs(x	NOUN
ejpam-1975	240	20	,	,	PUNCT
ejpam-1975	240	21	e	e	NOUN
ejpam-1975	240	22	)	)	PUNCT
ejpam-1975	240	23	.	.	PUNCT
ejpam-1975	241	1	soft	soft	ADJ
ejpam-1975	241	2	multiset	multiset	NOUN
ejpam-1975	241	3	(	(	PUNCT
ejpam-1975	241	4	f	f	X
ejpam-1975	241	5	,	,	PUNCT
ejpam-1975	241	6	a	a	PRON
ejpam-1975	241	7	)	)	PUNCT
ejpam-1975	241	8	is	be	AUX
ejpam-1975	241	9	called	call	VERB
ejpam-1975	241	10	compact	compact	ADJ
ejpam-1975	241	11	if	if	SCONJ
ejpam-1975	241	12	each	each	DET
ejpam-1975	241	13	soft	soft	ADJ
ejpam-1975	241	14	multi	multi	ADJ
ejpam-1975	241	15	open	open	ADJ
ejpam-1975	241	16	cover	cover	NOUN
ejpam-1975	241	17	of	of	ADP
ejpam-1975	241	18	(	(	PUNCT
ejpam-1975	241	19	f	f	X
ejpam-1975	241	20	,	,	PUNCT
ejpam-1975	241	21	a	a	PRON
ejpam-1975	241	22	)	)	PUNCT
ejpam-1975	241	23	has	have	VERB
ejpam-1975	241	24	a	a	DET
ejpam-1975	241	25	finite	finite	ADJ
ejpam-1975	241	26	subcover	subcover	PROPN
ejpam-1975	241	27	.	.	PUNCT
ejpam-1975	242	1	also	also	ADV
ejpam-1975	242	2	soft	soft	ADJ
ejpam-1975	242	3	multi	multi	ADJ
ejpam-1975	242	4	topological	topological	ADJ
ejpam-1975	242	5	space	space	NOUN
ejpam-1975	242	6	(	(	PUNCT
ejpam-1975	242	7	xe	xe	PROPN
ejpam-1975	242	8	,	,	PUNCT
ejpam-1975	242	9	τ	τ	PROPN
ejpam-1975	242	10	)	)	PUNCT
ejpam-1975	242	11	is	be	AUX
ejpam-1975	242	12	called	call	VERB
ejpam-1975	242	13	compact	compact	ADJ
ejpam-1975	242	14	if	if	SCONJ
ejpam-1975	242	15	each	each	DET
ejpam-1975	242	16	soft	soft	ADJ
ejpam-1975	242	17	multi	multi	ADJ
ejpam-1975	242	18	open	open	ADJ
ejpam-1975	242	19	cover	cover	NOUN
ejpam-1975	242	20	of	of	ADP
ejpam-1975	242	21	x̃	x̃	PROPN
ejpam-1975	242	22	has	have	VERB
ejpam-1975	242	23	a	a	DET
ejpam-1975	242	24	finite	finite	ADJ
ejpam-1975	242	25	subcover	subcover	PROPN
ejpam-1975	242	26	.	.	PUNCT
ejpam-1975	243	1	i̇.	i̇.	PROPN
ejpam-1975	243	2	osmanoğlu	osmanoğlu	PROPN
ejpam-1975	243	3	,	,	PUNCT
ejpam-1975	243	4	d.	d.	PROPN
ejpam-1975	243	5	tokat	tokat	PROPN
ejpam-1975	243	6	/	/	SYM
ejpam-1975	243	7	eur	eur	PROPN
ejpam-1975	243	8	.	.	PUNCT
ejpam-1975	244	1	j.	j.	PROPN
ejpam-1975	244	2	pure	pure	PROPN
ejpam-1975	244	3	appl	appl	PROPN
ejpam-1975	244	4	.	.	PROPN
ejpam-1975	244	5	math	math	PROPN
ejpam-1975	244	6	,	,	PUNCT
ejpam-1975	244	7	7	7	NUM
ejpam-1975	244	8	(	(	PUNCT
ejpam-1975	244	9	2014	2014	NUM
ejpam-1975	244	10	)	)	PUNCT
ejpam-1975	244	11	,	,	PUNCT
ejpam-1975	244	12	97	97	NUM
ejpam-1975	244	13	-	-	SYM
ejpam-1975	244	14	108	108	NUM
ejpam-1975	244	15	106	106	NUM
ejpam-1975	244	16	example	example	NOUN
ejpam-1975	244	17	5	5	NUM
ejpam-1975	244	18	.	.	PUNCT
ejpam-1975	244	19	a	a	DET
ejpam-1975	244	20	soft	soft	ADJ
ejpam-1975	244	21	multi	multi	ADJ
ejpam-1975	244	22	topological	topological	ADJ
ejpam-1975	244	23	space	space	NOUN
ejpam-1975	244	24	(	(	PUNCT
ejpam-1975	244	25	xe	xe	PROPN
ejpam-1975	244	26	,	,	PUNCT
ejpam-1975	244	27	τ	τ	PROPN
ejpam-1975	244	28	)	)	PUNCT
ejpam-1975	244	29	is	be	AUX
ejpam-1975	244	30	compact	compact	ADJ
ejpam-1975	244	31	if	if	SCONJ
ejpam-1975	244	32	x	x	PRON
ejpam-1975	244	33	is	be	AUX
ejpam-1975	244	34	finite	finite	PROPN
ejpam-1975	244	35	.	.	PUNCT
ejpam-1975	244	36	example	example	NOUN
ejpam-1975	245	1	6	6	NUM
ejpam-1975	245	2	.	.	PUNCT
ejpam-1975	246	1	let	let	VERB
ejpam-1975	246	2	(	(	PUNCT
ejpam-1975	246	3	xe	xe	PROPN
ejpam-1975	246	4	,	,	PUNCT
ejpam-1975	246	5	τ	τ	PROPN
ejpam-1975	246	6	)	)	PUNCT
ejpam-1975	246	7	and	and	CCONJ
ejpam-1975	246	8	(	(	PUNCT
ejpam-1975	246	9	yk	yk	PROPN
ejpam-1975	246	10	,	,	PUNCT
ejpam-1975	246	11	σ	σ	PROPN
ejpam-1975	246	12	)	)	PUNCT
ejpam-1975	246	13	be	be	VERB
ejpam-1975	246	14	two	two	NUM
ejpam-1975	246	15	soft	soft	ADJ
ejpam-1975	246	16	multi	multi	ADJ
ejpam-1975	246	17	topological	topological	ADJ
ejpam-1975	246	18	spaces	space	NOUN
ejpam-1975	246	19	and	and	CCONJ
ejpam-1975	247	1	τ	τ	PROPN
ejpam-1975	247	2	⊂	⊂	PROPN
ejpam-1975	247	3	σ	σ	PROPN
ejpam-1975	247	4	.	.	PUNCT
ejpam-1975	248	1	then	then	ADV
ejpam-1975	248	2	,	,	PUNCT
ejpam-1975	248	3	soft	soft	ADJ
ejpam-1975	248	4	multi	multi	ADJ
ejpam-1975	248	5	topological	topological	ADJ
ejpam-1975	248	6	space	space	NOUN
ejpam-1975	248	7	(	(	PUNCT
ejpam-1975	248	8	xe	xe	PROPN
ejpam-1975	248	9	,	,	PUNCT
ejpam-1975	248	10	τ	τ	PROPN
ejpam-1975	248	11	)	)	PUNCT
ejpam-1975	248	12	is	be	AUX
ejpam-1975	248	13	compact	compact	ADJ
ejpam-1975	248	14	if	if	SCONJ
ejpam-1975	248	15	(	(	PUNCT
ejpam-1975	248	16	yk	yk	PROPN
ejpam-1975	248	17	,	,	PUNCT
ejpam-1975	248	18	σ	σ	PROPN
ejpam-1975	248	19	)	)	PUNCT
ejpam-1975	248	20	is	be	AUX
ejpam-1975	248	21	compact	compact	ADJ
ejpam-1975	248	22	.	.	PUNCT
ejpam-1975	249	1	proposition	proposition	NOUN
ejpam-1975	249	2	1	1	NUM
ejpam-1975	249	3	.	.	PUNCT
ejpam-1975	250	1	let	let	AUX
ejpam-1975	250	2	(	(	PUNCT
ejpam-1975	250	3	g	g	NOUN
ejpam-1975	250	4	,	,	PUNCT
ejpam-1975	250	5	b	b	NOUN
ejpam-1975	250	6	)	)	PUNCT
ejpam-1975	250	7	be	be	AUX
ejpam-1975	250	8	a	a	DET
ejpam-1975	250	9	whole	whole	ADJ
ejpam-1975	250	10	soft	soft	ADJ
ejpam-1975	250	11	multi	multi	NOUN
ejpam-1975	250	12	closed	closed	ADJ
ejpam-1975	250	13	set	set	VERB
ejpam-1975	250	14	in	in	ADP
ejpam-1975	250	15	soft	soft	ADJ
ejpam-1975	250	16	multi	multi	ADJ
ejpam-1975	250	17	compact	compact	ADJ
ejpam-1975	250	18	space	space	NOUN
ejpam-1975	250	19	(	(	PUNCT
ejpam-1975	250	20	xe	xe	PROPN
ejpam-1975	250	21	,	,	PUNCT
ejpam-1975	250	22	τ	τ	PROPN
ejpam-1975	250	23	)	)	PUNCT
ejpam-1975	250	24	.	.	PUNCT
ejpam-1975	251	1	then	then	ADV
ejpam-1975	251	2	(	(	PUNCT
ejpam-1975	251	3	g	g	NOUN
ejpam-1975	251	4	,	,	PUNCT
ejpam-1975	251	5	b	b	NOUN
ejpam-1975	251	6	)	)	PUNCT
ejpam-1975	251	7	is	be	AUX
ejpam-1975	251	8	also	also	ADV
ejpam-1975	251	9	compact	compact	ADJ
ejpam-1975	251	10	.	.	PUNCT
ejpam-1975	252	1	proof	proof	NOUN
ejpam-1975	252	2	.	.	PUNCT
ejpam-1975	253	1	let	let	VERB
ejpam-1975	253	2	�	�	PROPN
ejpam-1975	253	3	fi	fi	PROPN
ejpam-1975	253	4	,	,	PUNCT
ejpam-1975	253	5	a	a	DET
ejpam-1975	253	6	�	�	NOUN
ejpam-1975	253	7	be	be	AUX
ejpam-1975	253	8	any	any	DET
ejpam-1975	253	9	open	open	ADJ
ejpam-1975	253	10	covering	covering	NOUN
ejpam-1975	253	11	of	of	ADP
ejpam-1975	253	12	(	(	PUNCT
ejpam-1975	253	13	g	g	PROPN
ejpam-1975	253	14	,	,	PUNCT
ejpam-1975	253	15	b	b	NOUN
ejpam-1975	253	16	)	)	PUNCT
ejpam-1975	253	17	.	.	PUNCT
ejpam-1975	254	1	then	then	ADV
ejpam-1975	254	2	x̃	x̃	PROPN
ejpam-1975	254	3	⊆	⊆	NUM
ejpam-1975	254	4	�	�	PROPN
ejpam-1975	254	5	∪i∈i	∪i∈i	NUM
ejpam-1975	254	6	�	�	PROPN
ejpam-1975	254	7	fi	fi	NOUN
ejpam-1975	254	8	,	,	PUNCT
ejpam-1975	254	9	a	a	DET
ejpam-1975	254	10	�	�	PROPN
ejpam-1975	254	11	�	�	PROPN
ejpam-1975	254	12	∪	∪	X
ejpam-1975	254	13	(	(	PUNCT
ejpam-1975	254	14	g	g	NOUN
ejpam-1975	254	15	,	,	PUNCT
ejpam-1975	254	16	b)c	b)c	X
ejpam-1975	254	17	;	;	PUNCT
ejpam-1975	254	18	that	that	PRON
ejpam-1975	254	19	is	is	ADV
ejpam-1975	254	20	,	,	PUNCT
ejpam-1975	254	21	�	�	PROPN
ejpam-1975	254	22	fi	fi	NOUN
ejpam-1975	254	23	,	,	PUNCT
ejpam-1975	254	24	a	a	DET
ejpam-1975	254	25	�	�	PROPN
ejpam-1975	254	26	together	together	ADV
ejpam-1975	254	27	with	with	ADP
ejpam-1975	254	28	soft	soft	ADJ
ejpam-1975	254	29	multi	multi	ADJ
ejpam-1975	254	30	open	open	ADJ
ejpam-1975	254	31	set	set	NOUN
ejpam-1975	254	32	(	(	PUNCT
ejpam-1975	254	33	g	g	NOUN
ejpam-1975	254	34	,	,	PUNCT
ejpam-1975	254	35	b)c	b)c	X
ejpam-1975	254	36	is	be	AUX
ejpam-1975	254	37	a	a	DET
ejpam-1975	254	38	open	open	ADJ
ejpam-1975	254	39	covering	covering	NOUN
ejpam-1975	254	40	of	of	ADP
ejpam-1975	254	41	x̃	x̃	PROPN
ejpam-1975	254	42	.	.	PUNCT
ejpam-1975	255	1	therefore	therefore	ADV
ejpam-1975	255	2	there	there	PRON
ejpam-1975	255	3	exists	exist	VERB
ejpam-1975	255	4	a	a	DET
ejpam-1975	255	5	finite	finite	NOUN
ejpam-1975	255	6	subcovering	subcovere	VERB
ejpam-1975	255	7	�	�	PROPN
ejpam-1975	255	8	f1	f1	PROPN
ejpam-1975	255	9	,	,	PUNCT
ejpam-1975	255	10	a	a	DET
ejpam-1975	255	11	�	�	PROPN
ejpam-1975	255	12	,	,	PUNCT
ejpam-1975	255	13	�	�	PROPN
ejpam-1975	255	14	f2	f2	PROPN
ejpam-1975	255	15	,	,	PUNCT
ejpam-1975	255	16	a	a	DET
ejpam-1975	255	17	�	�	PROPN
ejpam-1975	255	18	,	,	PUNCT
ejpam-1975	255	19	.	.	PUNCT
ejpam-1975	255	20	.	.	PUNCT
ejpam-1975	256	1	.	.	PUNCT
ejpam-1975	257	1	,	,	PUNCT
ejpam-1975	257	2	�	�	PROPN
ejpam-1975	257	3	fn	fn	PROPN
ejpam-1975	257	4	,	,	PUNCT
ejpam-1975	257	5	a	a	DET
ejpam-1975	257	6	�	�	PROPN
ejpam-1975	257	7	,	,	PUNCT
ejpam-1975	257	8	(	(	PUNCT
ejpam-1975	257	9	g	g	NOUN
ejpam-1975	257	10	,	,	PUNCT
ejpam-1975	257	11	b)c	b)c	X
ejpam-1975	257	12	.	.	PUNCT
ejpam-1975	258	1	so	so	ADV
ejpam-1975	258	2	x̃	x̃	PROPN
ejpam-1975	258	3	⊆	⊆	NUM
ejpam-1975	258	4	�	�	PROPN
ejpam-1975	258	5	f1	f1	PROPN
ejpam-1975	258	6	,	,	PUNCT
ejpam-1975	258	7	a	a	DET
ejpam-1975	258	8	�	�	PROPN
ejpam-1975	258	9	∪	∪	PROPN
ejpam-1975	258	10	�	�	PROPN
ejpam-1975	258	11	f2	f2	PROPN
ejpam-1975	258	12	,	,	PUNCT
ejpam-1975	258	13	a	a	DET
ejpam-1975	258	14	�	�	PROPN
ejpam-1975	258	15	∪	∪	NOUN
ejpam-1975	258	16	.	.	PUNCT
ejpam-1975	258	17	.	.	PUNCT
ejpam-1975	259	1	.∪	.∪	PROPN
ejpam-1975	259	2	�	�	PROPN
ejpam-1975	259	3	fn	fn	PROPN
ejpam-1975	259	4	,	,	PUNCT
ejpam-1975	259	5	a	a	DET
ejpam-1975	259	6	�	�	PROPN
ejpam-1975	259	7	∪	∪	X
ejpam-1975	259	8	(	(	PUNCT
ejpam-1975	259	9	g	g	NOUN
ejpam-1975	259	10	,	,	PUNCT
ejpam-1975	259	11	b)c	b)c	X
ejpam-1975	259	12	.	.	PUNCT
ejpam-1975	260	1	therefore	therefore	ADV
ejpam-1975	260	2	(	(	PUNCT
ejpam-1975	260	3	g	g	NOUN
ejpam-1975	260	4	,	,	PUNCT
ejpam-1975	260	5	b)⊆	b)⊆	PROPN
ejpam-1975	260	6	�	�	PROPN
ejpam-1975	260	7	f1	f1	PROPN
ejpam-1975	260	8	,	,	PUNCT
ejpam-1975	260	9	a	a	DET
ejpam-1975	260	10	�	�	PROPN
ejpam-1975	260	11	∪	∪	PROPN
ejpam-1975	260	12	�	�	PROPN
ejpam-1975	260	13	f2	f2	PROPN
ejpam-1975	260	14	,	,	PUNCT
ejpam-1975	260	15	a	a	DET
ejpam-1975	260	16	�	�	PROPN
ejpam-1975	260	17	∪	∪	NOUN
ejpam-1975	260	18	.	.	PUNCT
ejpam-1975	260	19	.	.	PUNCT
ejpam-1975	261	1	.∪	.∪	PROPN
ejpam-1975	261	2	�	�	PROPN
ejpam-1975	261	3	fn	fn	PROPN
ejpam-1975	261	4	,	,	PUNCT
ejpam-1975	261	5	a	a	DET
ejpam-1975	261	6	�	�	PROPN
ejpam-1975	261	7	∪	∪	X
ejpam-1975	261	8	(	(	PUNCT
ejpam-1975	261	9	g	g	NOUN
ejpam-1975	261	10	,	,	PUNCT
ejpam-1975	261	11	b)c	b)c	X
ejpam-1975	261	12	which	which	PRON
ejpam-1975	261	13	clearly	clearly	ADV
ejpam-1975	261	14	implies	imply	VERB
ejpam-1975	261	15	(	(	PUNCT
ejpam-1975	261	16	g	g	NOUN
ejpam-1975	261	17	,	,	PUNCT
ejpam-1975	261	18	b)⊆	b)⊆	PROPN
ejpam-1975	261	19	�	�	PROPN
ejpam-1975	261	20	f1	f1	PROPN
ejpam-1975	261	21	,	,	PUNCT
ejpam-1975	261	22	a	a	DET
ejpam-1975	261	23	�	�	PROPN
ejpam-1975	261	24	∪	∪	PROPN
ejpam-1975	261	25	�	�	PROPN
ejpam-1975	261	26	f2	f2	PROPN
ejpam-1975	261	27	,	,	PUNCT
ejpam-1975	261	28	a	a	DET
ejpam-1975	261	29	�	�	PROPN
ejpam-1975	261	30	∪	∪	NOUN
ejpam-1975	261	31	.	.	PUNCT
ejpam-1975	261	32	.	.	PUNCT
ejpam-1975	262	1	.∪	.∪	PROPN
ejpam-1975	262	2	�	�	PROPN
ejpam-1975	262	3	fn	fn	PROPN
ejpam-1975	262	4	,	,	PUNCT
ejpam-1975	262	5	a	a	DET
ejpam-1975	262	6	�	�	PROPN
ejpam-1975	262	7	since	since	SCONJ
ejpam-1975	262	8	(	(	PUNCT
ejpam-1975	262	9	g	g	NOUN
ejpam-1975	262	10	,	,	PUNCT
ejpam-1975	262	11	b)∩	b)∩	PROPN
ejpam-1975	262	12	(	(	PUNCT
ejpam-1975	262	13	g	g	NOUN
ejpam-1975	262	14	,	,	PUNCT
ejpam-1975	262	15	b)c	b)c	X
ejpam-1975	263	1	=	=	SYM
ejpam-1975	263	2	φ	φ	PROPN
ejpam-1975	263	3	.	.	PUNCT
ejpam-1975	264	1	hence	hence	ADV
ejpam-1975	264	2	(	(	PUNCT
ejpam-1975	264	3	g	g	PROPN
ejpam-1975	264	4	,	,	PUNCT
ejpam-1975	264	5	b	b	NOUN
ejpam-1975	264	6	)	)	PUNCT
ejpam-1975	264	7	has	have	VERB
ejpam-1975	264	8	a	a	DET
ejpam-1975	264	9	finite	finite	ADJ
ejpam-1975	264	10	subcovering	subcovering	NOUN
ejpam-1975	264	11	and	and	CCONJ
ejpam-1975	264	12	so	so	ADV
ejpam-1975	264	13	is	be	AUX
ejpam-1975	264	14	compact	compact	ADJ
ejpam-1975	264	15	.	.	PUNCT
ejpam-1975	265	1	definition	definition	NOUN
ejpam-1975	265	2	20	20	NUM
ejpam-1975	265	3	(	(	PUNCT
ejpam-1975	265	4	[	[	X
ejpam-1975	265	5	13	13	NUM
ejpam-1975	265	6	]	]	NUM
ejpam-1975	265	7	)	)	PUNCT
ejpam-1975	265	8	.	.	PUNCT
ejpam-1975	266	1	let	let	VERB
ejpam-1975	266	2	(	(	PUNCT
ejpam-1975	266	3	xe	xe	PROPN
ejpam-1975	266	4	,	,	PUNCT
ejpam-1975	266	5	τ	τ	PROPN
ejpam-1975	266	6	)	)	PUNCT
ejpam-1975	266	7	be	be	VERB
ejpam-1975	266	8	a	a	DET
ejpam-1975	266	9	soft	soft	ADJ
ejpam-1975	266	10	multi	multi	ADJ
ejpam-1975	266	11	topological	topological	ADJ
ejpam-1975	266	12	space	space	NOUN
ejpam-1975	266	13	over	over	ADP
ejpam-1975	266	14	x	x	PUNCT
ejpam-1975	266	15	and	and	CCONJ
ejpam-1975	266	16	x	x	INTJ
ejpam-1975	266	17	,	,	PUNCT
ejpam-1975	266	18	y	y	PROPN
ejpam-1975	266	19	∈	∈	PROPN
ejpam-1975	266	20	x	x	PUNCT
ejpam-1975	266	21	such	such	ADJ
ejpam-1975	266	22	that	that	SCONJ
ejpam-1975	266	23	x	x	PRON
ejpam-1975	266	24	6=	6=	ADP
ejpam-1975	266	25	y.	y.	NOUN
ejpam-1975	266	26	if	if	SCONJ
ejpam-1975	266	27	there	there	PRON
ejpam-1975	266	28	exist	exist	VERB
ejpam-1975	266	29	soft	soft	ADJ
ejpam-1975	266	30	multi	multi	ADJ
ejpam-1975	266	31	open	open	ADJ
ejpam-1975	266	32	sets	set	NOUN
ejpam-1975	266	33	(	(	PUNCT
ejpam-1975	266	34	f	f	X
ejpam-1975	266	35	,	,	PUNCT
ejpam-1975	266	36	a	a	PRON
ejpam-1975	266	37	)	)	PUNCT
ejpam-1975	266	38	and	and	CCONJ
ejpam-1975	266	39	(	(	PUNCT
ejpam-1975	266	40	g	g	NOUN
ejpam-1975	266	41	,	,	PUNCT
ejpam-1975	266	42	a	a	PRON
ejpam-1975	266	43	)	)	PUNCT
ejpam-1975	266	44	such	such	ADJ
ejpam-1975	266	45	that	that	SCONJ
ejpam-1975	266	46	x	x	SYM
ejpam-1975	266	47	∈	∈	PROPN
ejpam-1975	266	48	(	(	PUNCT
ejpam-1975	266	49	f	f	X
ejpam-1975	266	50	,	,	PUNCT
ejpam-1975	266	51	a	a	NOUN
ejpam-1975	266	52	)	)	PUNCT
ejpam-1975	266	53	,	,	PUNCT
ejpam-1975	266	54	y	y	PROPN
ejpam-1975	266	55	∈	∈	PROPN
ejpam-1975	266	56	(	(	PUNCT
ejpam-1975	266	57	g	g	NOUN
ejpam-1975	266	58	,	,	PUNCT
ejpam-1975	266	59	a	a	PRON
ejpam-1975	266	60	)	)	PUNCT
ejpam-1975	266	61	and	and	CCONJ
ejpam-1975	266	62	(	(	PUNCT
ejpam-1975	266	63	f	f	X
ejpam-1975	266	64	,	,	PUNCT
ejpam-1975	266	65	a)∩̃(g	a)∩̃(g	PROPN
ejpam-1975	266	66	,	,	PUNCT
ejpam-1975	266	67	a	a	PRON
ejpam-1975	266	68	)	)	PUNCT
ejpam-1975	266	69	=	=	SYM
ejpam-1975	266	70	φ	φ	PROPN
ejpam-1975	266	71	,	,	PUNCT
ejpam-1975	266	72	then	then	ADV
ejpam-1975	266	73	(	(	PUNCT
ejpam-1975	266	74	xe	xe	PROPN
ejpam-1975	266	75	,	,	PUNCT
ejpam-1975	266	76	τ	τ	PROPN
ejpam-1975	266	77	)	)	PUNCT
ejpam-1975	266	78	is	be	AUX
ejpam-1975	266	79	called	call	VERB
ejpam-1975	266	80	a	a	DET
ejpam-1975	266	81	soft	soft	ADJ
ejpam-1975	266	82	multi	multi	ADJ
ejpam-1975	266	83	hausdorff	hausdorff	NOUN
ejpam-1975	266	84	space	space	NOUN
ejpam-1975	266	85	.	.	PUNCT
ejpam-1975	267	1	proposition	proposition	NOUN
ejpam-1975	267	2	2	2	NUM
ejpam-1975	267	3	.	.	PUNCT
ejpam-1975	268	1	let	let	AUX
ejpam-1975	268	2	(	(	PUNCT
ejpam-1975	268	3	g	g	NOUN
ejpam-1975	268	4	,	,	PUNCT
ejpam-1975	268	5	b	b	NOUN
ejpam-1975	268	6	)	)	PUNCT
ejpam-1975	268	7	be	be	AUX
ejpam-1975	268	8	a	a	DET
ejpam-1975	268	9	whole	whole	ADJ
ejpam-1975	268	10	soft	soft	ADJ
ejpam-1975	268	11	multi	multi	ADJ
ejpam-1975	268	12	compact	compact	ADJ
ejpam-1975	268	13	set	set	VERB
ejpam-1975	268	14	in	in	ADP
ejpam-1975	268	15	soft	soft	ADJ
ejpam-1975	268	16	multi	multi	ADJ
ejpam-1975	268	17	hausdorff	hausdorff	NOUN
ejpam-1975	268	18	space	space	NOUN
ejpam-1975	268	19	(	(	PUNCT
ejpam-1975	268	20	xe	xe	PROPN
ejpam-1975	268	21	,	,	PUNCT
ejpam-1975	268	22	τ	τ	PROPN
ejpam-1975	268	23	)	)	PUNCT
ejpam-1975	268	24	.	.	PUNCT
ejpam-1975	269	1	then	then	ADV
ejpam-1975	269	2	(	(	PUNCT
ejpam-1975	269	3	g	g	NOUN
ejpam-1975	269	4	,	,	PUNCT
ejpam-1975	269	5	b	b	NOUN
ejpam-1975	269	6	)	)	PUNCT
ejpam-1975	269	7	is	be	AUX
ejpam-1975	269	8	closed	closed	ADJ
ejpam-1975	269	9	.	.	PUNCT
ejpam-1975	270	1	proof	proof	NOUN
ejpam-1975	270	2	.	.	PUNCT
ejpam-1975	271	1	let	let	VERB
ejpam-1975	271	2	x	x	X
ejpam-1975	271	3	∈	∈	PROPN
ejpam-1975	271	4	(	(	PUNCT
ejpam-1975	271	5	g	g	NOUN
ejpam-1975	271	6	,	,	PUNCT
ejpam-1975	271	7	b)c	b)c	X
ejpam-1975	271	8	.	.	PUNCT
ejpam-1975	272	1	for	for	ADP
ejpam-1975	272	2	each	each	DET
ejpam-1975	272	3	y	y	PROPN
ejpam-1975	272	4	∈	∈	PROPN
ejpam-1975	272	5	(	(	PUNCT
ejpam-1975	272	6	g	g	PROPN
ejpam-1975	272	7	,	,	PUNCT
ejpam-1975	272	8	b	b	NOUN
ejpam-1975	272	9	)	)	PUNCT
ejpam-1975	272	10	,	,	PUNCT
ejpam-1975	272	11	we	we	PRON
ejpam-1975	272	12	have	have	VERB
ejpam-1975	272	13	x	x	X
ejpam-1975	272	14	6=	6=	ADP
ejpam-1975	272	15	y	y	PROPN
ejpam-1975	272	16	,	,	PUNCT
ejpam-1975	272	17	so	so	SCONJ
ejpam-1975	272	18	there	there	PRON
ejpam-1975	272	19	are	be	VERB
ejpam-1975	272	20	disjoint	disjoint	ADJ
ejpam-1975	272	21	soft	soft	ADJ
ejpam-1975	272	22	multi	multi	ADJ
ejpam-1975	272	23	open	open	ADJ
ejpam-1975	272	24	sets	set	NOUN
ejpam-1975	272	25	�	�	PROPN
ejpam-1975	272	26	fy	fy	PROPN
ejpam-1975	272	27	,	,	PUNCT
ejpam-1975	272	28	a	a	DET
ejpam-1975	272	29	�	�	PROPN
ejpam-1975	272	30	and	and	CCONJ
ejpam-1975	272	31	�	�	PROPN
ejpam-1975	272	32	fy	fy	PROPN
ejpam-1975	272	33	,	,	PUNCT
ejpam-1975	272	34	a	a	DET
ejpam-1975	272	35	�	�	NOUN
ejpam-1975	272	36	so	so	SCONJ
ejpam-1975	272	37	that	that	SCONJ
ejpam-1975	272	38	x	x	SYM
ejpam-1975	272	39	∈	∈	PROPN
ejpam-1975	272	40	�	�	PROPN
ejpam-1975	272	41	fy	fy	PROPN
ejpam-1975	272	42	,	,	PUNCT
ejpam-1975	272	43	a	a	DET
ejpam-1975	272	44	�	�	PROPN
ejpam-1975	272	45	and	and	CCONJ
ejpam-1975	272	46	y	y	PROPN
ejpam-1975	272	47	∈	∈	PROPN
ejpam-1975	272	48	�	�	PROPN
ejpam-1975	272	49	h	h	PROPN
ejpam-1975	272	50	y	y	PROPN
ejpam-1975	272	51	,	,	PUNCT
ejpam-1975	272	52	a	a	DET
ejpam-1975	272	53	�	�	PROPN
ejpam-1975	272	54	.	.	PUNCT
ejpam-1975	273	1	then	then	ADV
ejpam-1975	273	2	{	{	PUNCT
ejpam-1975	273	3	�	�	PROPN
ejpam-1975	273	4	h	h	NOUN
ejpam-1975	273	5	y	y	PROPN
ejpam-1975	273	6	,	,	PUNCT
ejpam-1975	273	7	a	a	DET
ejpam-1975	273	8	�	�	NOUN
ejpam-1975	273	9	:	:	PUNCT
ejpam-1975	273	10	y	y	PROPN
ejpam-1975	273	11	∈	∈	PROPN
ejpam-1975	273	12	(	(	PUNCT
ejpam-1975	273	13	g	g	PROPN
ejpam-1975	273	14	,	,	PUNCT
ejpam-1975	273	15	b	b	NOUN
ejpam-1975	273	16	)	)	PUNCT
ejpam-1975	273	17	}	}	PUNCT
ejpam-1975	273	18	is	be	AUX
ejpam-1975	273	19	an	an	DET
ejpam-1975	273	20	soft	soft	ADJ
ejpam-1975	273	21	multi	multi	ADJ
ejpam-1975	273	22	open	open	ADJ
ejpam-1975	273	23	cover	cover	NOUN
ejpam-1975	273	24	of	of	ADP
ejpam-1975	273	25	(	(	PUNCT
ejpam-1975	273	26	g	g	PROPN
ejpam-1975	273	27	,	,	PUNCT
ejpam-1975	273	28	b	b	NOUN
ejpam-1975	273	29	)	)	PUNCT
ejpam-1975	273	30	let	let	VERB
ejpam-1975	273	31	{	{	PUNCT
ejpam-1975	273	32	�	�	PROPN
ejpam-1975	273	33	h	h	NOUN
ejpam-1975	273	34	y1	y1	PROPN
ejpam-1975	273	35	,	,	PUNCT
ejpam-1975	273	36	a	a	DET
ejpam-1975	273	37	�	�	PROPN
ejpam-1975	273	38	,	,	PUNCT
ejpam-1975	273	39	�	�	PROPN
ejpam-1975	273	40	h	h	NOUN
ejpam-1975	273	41	y2	y2	PROPN
ejpam-1975	273	42	,	,	PUNCT
ejpam-1975	273	43	a	a	DET
ejpam-1975	273	44	�	�	PROPN
ejpam-1975	273	45	,	,	PUNCT
ejpam-1975	273	46	.	.	PUNCT
ejpam-1975	273	47	.	.	PUNCT
ejpam-1975	274	1	.	.	PUNCT
ejpam-1975	275	1	,	,	PUNCT
ejpam-1975	275	2	�	�	PROPN
ejpam-1975	275	3	h	h	PROPN
ejpam-1975	275	4	yn	yn	PROPN
ejpam-1975	275	5	,	,	PUNCT
ejpam-1975	275	6	a	a	DET
ejpam-1975	275	7	�	�	PROPN
ejpam-1975	275	8	}	}	PUNCT
ejpam-1975	275	9	be	be	AUX
ejpam-1975	275	10	a	a	DET
ejpam-1975	275	11	finite	finite	ADJ
ejpam-1975	275	12	subcover	subcover	PROPN
ejpam-1975	275	13	.	.	PUNCT
ejpam-1975	276	1	then	then	ADV
ejpam-1975	276	2	∩n	∩n	PROPN
ejpam-1975	276	3	i=1	i=1	PROPN
ejpam-1975	276	4	�	�	PROPN
ejpam-1975	276	5	fyi	fyi	PROPN
ejpam-1975	276	6	,	,	PUNCT
ejpam-1975	276	7	a	a	DET
ejpam-1975	276	8	�	�	PROPN
ejpam-1975	276	9	is	be	AUX
ejpam-1975	276	10	an	an	DET
ejpam-1975	276	11	open	open	ADJ
ejpam-1975	276	12	set	set	NOUN
ejpam-1975	276	13	containing	contain	VERB
ejpam-1975	276	14	x	x	PUNCT
ejpam-1975	276	15	and	and	CCONJ
ejpam-1975	276	16	contained	contain	VERB
ejpam-1975	276	17	in	in	ADP
ejpam-1975	276	18	(	(	PUNCT
ejpam-1975	276	19	g	g	NOUN
ejpam-1975	276	20	,	,	PUNCT
ejpam-1975	276	21	b)c	b)c	X
ejpam-1975	276	22	.	.	PUNCT
ejpam-1975	277	1	thus	thus	ADV
ejpam-1975	277	2	(	(	PUNCT
ejpam-1975	277	3	g	g	NOUN
ejpam-1975	277	4	,	,	PUNCT
ejpam-1975	277	5	b)c	b)c	X
ejpam-1975	277	6	is	be	AUX
ejpam-1975	277	7	soft	soft	ADJ
ejpam-1975	277	8	multi	multi	ADJ
ejpam-1975	277	9	open	open	ADJ
ejpam-1975	277	10	and	and	CCONJ
ejpam-1975	277	11	(	(	PUNCT
ejpam-1975	277	12	g	g	PROPN
ejpam-1975	277	13	,	,	PUNCT
ejpam-1975	277	14	b	b	NOUN
ejpam-1975	277	15	)	)	PUNCT
ejpam-1975	277	16	is	be	AUX
ejpam-1975	277	17	closed	close	VERB
ejpam-1975	277	18	.	.	PUNCT
ejpam-1975	278	1	theorem	theorem	NOUN
ejpam-1975	278	2	2	2	NUM
ejpam-1975	278	3	.	.	PUNCT
ejpam-1975	279	1	let	let	VERB
ejpam-1975	279	2	(	(	PUNCT
ejpam-1975	279	3	xe	xe	PROPN
ejpam-1975	279	4	,	,	PUNCT
ejpam-1975	279	5	τ	τ	PROPN
ejpam-1975	279	6	)	)	PUNCT
ejpam-1975	279	7	and	and	CCONJ
ejpam-1975	279	8	(	(	PUNCT
ejpam-1975	279	9	yk	yk	PROPN
ejpam-1975	279	10	,	,	PUNCT
ejpam-1975	279	11	σ	σ	PROPN
ejpam-1975	279	12	)	)	PUNCT
ejpam-1975	279	13	be	be	AUX
ejpam-1975	279	14	soft	soft	ADJ
ejpam-1975	279	15	multi	multi	ADJ
ejpam-1975	279	16	topological	topological	ADJ
ejpam-1975	279	17	spaces	space	NOUN
ejpam-1975	279	18	and	and	CCONJ
ejpam-1975	279	19	f	f	X
ejpam-1975	279	20	:	:	PUNCT
ejpam-1975	279	21	(	(	PUNCT
ejpam-1975	279	22	xe	xe	PROPN
ejpam-1975	279	23	,	,	PUNCT
ejpam-1975	279	24	τ)→	τ)→	PROPN
ejpam-1975	279	25	(	(	PUNCT
ejpam-1975	279	26	yk	yk	PROPN
ejpam-1975	279	27	,	,	PUNCT
ejpam-1975	279	28	σ	σ	PROPN
ejpam-1975	279	29	)	)	PUNCT
ejpam-1975	279	30	continuous	continuous	ADJ
ejpam-1975	279	31	and	and	CCONJ
ejpam-1975	279	32	onto	onto	ADP
ejpam-1975	279	33	soft	soft	ADJ
ejpam-1975	279	34	multi	multi	ADJ
ejpam-1975	279	35	function	function	NOUN
ejpam-1975	279	36	.	.	PUNCT
ejpam-1975	280	1	if	if	SCONJ
ejpam-1975	280	2	(	(	PUNCT
ejpam-1975	280	3	xe	xe	PROPN
ejpam-1975	280	4	,	,	PUNCT
ejpam-1975	280	5	τ	τ	PROPN
ejpam-1975	280	6	)	)	PUNCT
ejpam-1975	280	7	is	be	AUX
ejpam-1975	280	8	soft	soft	ADJ
ejpam-1975	280	9	multi	multi	ADJ
ejpam-1975	280	10	compact	compact	NOUN
ejpam-1975	280	11	,	,	PUNCT
ejpam-1975	280	12	then	then	ADV
ejpam-1975	280	13	(	(	PUNCT
ejpam-1975	280	14	yk	yk	PROPN
ejpam-1975	280	15	,	,	PUNCT
ejpam-1975	280	16	σ	σ	PROPN
ejpam-1975	280	17	)	)	PUNCT
ejpam-1975	280	18	is	be	AUX
ejpam-1975	280	19	soft	soft	ADJ
ejpam-1975	280	20	multi	multi	ADJ
ejpam-1975	280	21	compact	compact	ADJ
ejpam-1975	280	22	.	.	PUNCT
ejpam-1975	281	1	proof	proof	NOUN
ejpam-1975	281	2	.	.	PUNCT
ejpam-1975	282	1	we	we	PRON
ejpam-1975	282	2	will	will	AUX
ejpam-1975	282	3	use	use	VERB
ejpam-1975	282	4	theorem	theorem	NOUN
ejpam-1975	282	5	1	1	X
ejpam-1975	282	6	.	.	PUNCT
ejpam-1975	283	1	let	let	VERB
ejpam-1975	283	2	�	�	PROPN
ejpam-1975	283	3	fi	fi	PROPN
ejpam-1975	283	4	,	,	PUNCT
ejpam-1975	283	5	a	a	DET
ejpam-1975	283	6	�	�	NOUN
ejpam-1975	283	7	be	be	AUX
ejpam-1975	283	8	any	any	DET
ejpam-1975	283	9	open	open	ADJ
ejpam-1975	283	10	covering	covering	NOUN
ejpam-1975	283	11	of	of	ADP
ejpam-1975	283	12	ỹ	ỹ	PROPN
ejpam-1975	283	13	;	;	PUNCT
ejpam-1975	284	1	i.e.	i.e.	X
ejpam-1975	284	2	,	,	PUNCT
ejpam-1975	284	3	ỹ	ỹ	PROPN
ejpam-1975	284	4	⊆	⊆	NUM
ejpam-1975	284	5	∪i∈i	∪i∈i	NUM
ejpam-1975	284	6	�	�	PROPN
ejpam-1975	284	7	fi	fi	NOUN
ejpam-1975	284	8	,	,	PUNCT
ejpam-1975	284	9	a	a	DET
ejpam-1975	284	10	�	�	PROPN
ejpam-1975	284	11	.	.	PUNCT
ejpam-1975	285	1	then	then	ADV
ejpam-1975	285	2	f	f	PROPN
ejpam-1975	285	3	−1	−1	NOUN
ejpam-1975	285	4	�	�	PROPN
ejpam-1975	285	5	ỹ	ỹ	PROPN
ejpam-1975	285	6	�	�	PROPN
ejpam-1975	285	7	⊆	⊆	NUM
ejpam-1975	285	8	f	f	PROPN
ejpam-1975	285	9	−1	−1	NOUN
ejpam-1975	285	10	�	�	PROPN
ejpam-1975	285	11	∪i∈i	∪i∈i	NUM
ejpam-1975	285	12	�	�	PROPN
ejpam-1975	285	13	fi	fi	NOUN
ejpam-1975	285	14	,	,	PUNCT
ejpam-1975	285	15	a	a	DET
ejpam-1975	285	16	�	�	PROPN
ejpam-1975	285	17	�	�	PROPN
ejpam-1975	285	18	;	;	PUNCT
ejpam-1975	285	19	and	and	CCONJ
ejpam-1975	285	20	x̃	x̃	PROPN
ejpam-1975	285	21	⊆	⊆	NUM
ejpam-1975	285	22	∪−1	∪−1	PROPN
ejpam-1975	285	23	i∈i	i∈i	ADJ
ejpam-1975	285	24	f	f	PROPN
ejpam-1975	285	25	�	�	PROPN
ejpam-1975	285	26	fi	fi	PROPN
ejpam-1975	285	27	,	,	PUNCT
ejpam-1975	285	28	a	a	DET
ejpam-1975	285	29	�	�	PROPN
ejpam-1975	285	30	.	.	PUNCT
ejpam-1975	286	1	so	so	ADV
ejpam-1975	286	2	f	f	PROPN
ejpam-1975	286	3	−1	−1	PROPN
ejpam-1975	286	4	�	�	PROPN
ejpam-1975	286	5	�	�	PROPN
ejpam-1975	286	6	fi	fi	NOUN
ejpam-1975	286	7	,	,	PUNCT
ejpam-1975	286	8	a	a	DET
ejpam-1975	286	9	�	�	PROPN
ejpam-1975	286	10	�	�	PROPN
ejpam-1975	286	11	is	be	AUX
ejpam-1975	286	12	an	an	DET
ejpam-1975	286	13	open	open	ADJ
ejpam-1975	286	14	covering	covering	NOUN
ejpam-1975	286	15	of	of	ADP
ejpam-1975	286	16	x̃	x̃	PROPN
ejpam-1975	286	17	.	.	PUNCT
ejpam-1975	287	1	as	as	SCONJ
ejpam-1975	287	2	(	(	PUNCT
ejpam-1975	287	3	xe	xe	PROPN
ejpam-1975	287	4	,	,	PUNCT
ejpam-1975	287	5	τ	τ	PROPN
ejpam-1975	287	6	)	)	PUNCT
ejpam-1975	287	7	is	be	AUX
ejpam-1975	287	8	compact	compact	ADJ
ejpam-1975	287	9	,	,	PUNCT
ejpam-1975	287	10	there	there	PRON
ejpam-1975	287	11	are	be	VERB
ejpam-1975	287	12	1,2	1,2	NUM
ejpam-1975	287	13	,	,	PUNCT
ejpam-1975	287	14	.	.	PUNCT
ejpam-1975	287	15	.	.	PUNCT
ejpam-1975	288	1	.	.	PUNCT
ejpam-1975	289	1	,	,	PUNCT
ejpam-1975	289	2	n	n	CCONJ
ejpam-1975	289	3	in	in	ADP
ejpam-1975	289	4	i	i	PRON
ejpam-1975	289	5	such	such	ADJ
ejpam-1975	289	6	that	that	SCONJ
ejpam-1975	289	7	x̃	x̃	PROPN
ejpam-1975	290	1	⊆	⊆	NUM
ejpam-1975	290	2	f	f	PROPN
ejpam-1975	290	3	−1	−1	NOUN
ejpam-1975	290	4	�	�	PROPN
ejpam-1975	290	5	f1	f1	NOUN
ejpam-1975	290	6	,	,	PUNCT
ejpam-1975	290	7	a	a	DET
ejpam-1975	290	8	�	�	PROPN
ejpam-1975	290	9	∪	∪	ADP
ejpam-1975	290	10	f	f	PROPN
ejpam-1975	290	11	−1	−1	NOUN
ejpam-1975	290	12	�	�	PROPN
ejpam-1975	290	13	�	�	PROPN
ejpam-1975	290	14	f2	f2	PROPN
ejpam-1975	290	15	,	,	PUNCT
ejpam-1975	290	16	a	a	DET
ejpam-1975	290	17	�	�	PROPN
ejpam-1975	290	18	�	�	PROPN
ejpam-1975	290	19	∪	∪	NOUN
ejpam-1975	290	20	.	.	PUNCT
ejpam-1975	290	21	.	.	PUNCT
ejpam-1975	291	1	.∪	.∪	PROPN
ejpam-1975	292	1	f	f	PROPN
ejpam-1975	292	2	−1	−1	PROPN
ejpam-1975	292	3	�	�	PROPN
ejpam-1975	292	4	�	�	PROPN
ejpam-1975	292	5	fn	fn	PROPN
ejpam-1975	292	6	,	,	PUNCT
ejpam-1975	292	7	a	a	DET
ejpam-1975	292	8	�	�	PROPN
ejpam-1975	292	9	�	�	PROPN
ejpam-1975	292	10	.	.	PUNCT
ejpam-1975	293	1	references	reference	NOUN
ejpam-1975	293	2	107	107	NUM
ejpam-1975	293	3	since	since	SCONJ
ejpam-1975	293	4	�	�	PROPN
ejpam-1975	293	5	ϕ,ψ	ϕ,ψ	PROPN
ejpam-1975	293	6	�	�	PROPN
ejpam-1975	293	7	is	be	AUX
ejpam-1975	293	8	surjective	surjective	ADJ
ejpam-1975	293	9	,	,	PUNCT
ejpam-1975	293	10	we	we	PRON
ejpam-1975	293	11	have	have	VERB
ejpam-1975	293	12	ỹ	ỹ	PROPN
ejpam-1975	293	13	=	=	SYM
ejpam-1975	293	14	f	f	PROPN
ejpam-1975	293	15	�	�	PROPN
ejpam-1975	293	16	x̃	x̃	PROPN
ejpam-1975	293	17	�	�	PROPN
ejpam-1975	293	18	⊆	⊆	NUM
ejpam-1975	293	19	f	f	PROPN
ejpam-1975	293	20	�	�	PROPN
ejpam-1975	293	21	f	f	PROPN
ejpam-1975	293	22	−1	−1	PROPN
ejpam-1975	293	23	�	�	PROPN
ejpam-1975	293	24	�	�	PROPN
ejpam-1975	293	25	f1	f1	NOUN
ejpam-1975	293	26	,	,	PUNCT
ejpam-1975	293	27	a	a	DET
ejpam-1975	293	28	�	�	PROPN
ejpam-1975	293	29	�	�	PROPN
ejpam-1975	293	30	∪	∪	NOUN
ejpam-1975	293	31	.	.	PUNCT
ejpam-1975	293	32	.	.	PUNCT
ejpam-1975	294	1	.∪	.∪	PROPN
ejpam-1975	295	1	f	f	PROPN
ejpam-1975	295	2	−1	−1	PROPN
ejpam-1975	295	3	�	�	PROPN
ejpam-1975	295	4	�	�	PROPN
ejpam-1975	295	5	fn	fn	PROPN
ejpam-1975	295	6	,	,	PUNCT
ejpam-1975	295	7	a	a	DET
ejpam-1975	295	8	�	�	PROPN
ejpam-1975	295	9	�	�	PROPN
ejpam-1975	295	10	�	�	PROPN
ejpam-1975	295	11	=	=	SYM
ejpam-1975	295	12	f	f	PROPN
ejpam-1975	295	13	�	�	PROPN
ejpam-1975	295	14	f	f	PROPN
ejpam-1975	295	15	−1	−1	PROPN
ejpam-1975	295	16	�	�	PROPN
ejpam-1975	295	17	�	�	PROPN
ejpam-1975	295	18	f1	f1	NOUN
ejpam-1975	295	19	,	,	PUNCT
ejpam-1975	295	20	a	a	DET
ejpam-1975	295	21	�	�	PROPN
ejpam-1975	295	22	�	�	PROPN
ejpam-1975	295	23	�	�	PROPN
ejpam-1975	295	24	∪	∪	VERB
ejpam-1975	295	25	.	.	PUNCT
ejpam-1975	295	26	.	.	PUNCT
ejpam-1975	296	1	.∪	.∪	X
ejpam-1975	297	1	f	f	PROPN
ejpam-1975	297	2	�	�	PROPN
ejpam-1975	297	3	f	f	PROPN
ejpam-1975	297	4	−1	−1	PROPN
ejpam-1975	297	5	�	�	PROPN
ejpam-1975	297	6	�	�	PROPN
ejpam-1975	297	7	fn	fn	PROPN
ejpam-1975	297	8	,	,	PUNCT
ejpam-1975	297	9	a	a	DET
ejpam-1975	297	10	�	�	PROPN
ejpam-1975	297	11	�	�	PROPN
ejpam-1975	297	12	�	�	PROPN
ejpam-1975	297	13	=	=	SYM
ejpam-1975	297	14	�	�	PROPN
ejpam-1975	297	15	f1	f1	NOUN
ejpam-1975	297	16	,	,	PUNCT
ejpam-1975	297	17	a	a	DET
ejpam-1975	297	18	�	�	PROPN
ejpam-1975	297	19	∪	∪	PROPN
ejpam-1975	297	20	�	�	PROPN
ejpam-1975	297	21	f2	f2	PROPN
ejpam-1975	297	22	,	,	PUNCT
ejpam-1975	297	23	a	a	DET
ejpam-1975	297	24	�	�	PROPN
ejpam-1975	297	25	∪	∪	NOUN
ejpam-1975	297	26	.	.	PUNCT
ejpam-1975	297	27	.	.	PUNCT
ejpam-1975	298	1	.∪	.∪	PROPN
ejpam-1975	298	2	�	�	PROPN
ejpam-1975	298	3	fn	fn	PROPN
ejpam-1975	298	4	,	,	PUNCT
ejpam-1975	298	5	a	a	DET
ejpam-1975	298	6	�	�	PROPN
ejpam-1975	298	7	.	.	PUNCT
ejpam-1975	299	1	so	so	ADV
ejpam-1975	299	2	we	we	PRON
ejpam-1975	299	3	have	have	VERB
ejpam-1975	299	4	ỹ	ỹ	PROPN
ejpam-1975	299	5	⊆	⊆	NUM
ejpam-1975	299	6	�	�	PROPN
ejpam-1975	299	7	f1	f1	NOUN
ejpam-1975	299	8	,	,	PUNCT
ejpam-1975	299	9	a	a	DET
ejpam-1975	299	10	�	�	PROPN
ejpam-1975	299	11	∪	∪	PROPN
ejpam-1975	299	12	�	�	PROPN
ejpam-1975	299	13	f2	f2	PROPN
ejpam-1975	299	14	,	,	PUNCT
ejpam-1975	299	15	a	a	DET
ejpam-1975	299	16	�	�	PROPN
ejpam-1975	299	17	∪	∪	NOUN
ejpam-1975	299	18	.	.	PUNCT
ejpam-1975	299	19	.	.	PUNCT
ejpam-1975	299	20	.	.	PUNCT
ejpam-1975	300	1	∪	∪	PROPN
ejpam-1975	300	2	�	�	PROPN
ejpam-1975	300	3	fn	fn	PROPN
ejpam-1975	300	4	,	,	PUNCT
ejpam-1975	300	5	a	a	DET
ejpam-1975	300	6	�	�	PROPN
ejpam-1975	300	7	;	;	PUNCT
ejpam-1975	300	8	i.e.	i.e.	X
ejpam-1975	300	9	,	,	PUNCT
ejpam-1975	300	10	ỹ	ỹ	PROPN
ejpam-1975	300	11	is	be	AUX
ejpam-1975	300	12	covered	cover	VERB
ejpam-1975	300	13	by	by	ADP
ejpam-1975	300	14	a	a	DET
ejpam-1975	300	15	finite	finite	ADJ
ejpam-1975	300	16	number	number	NOUN
ejpam-1975	300	17	of	of	ADP
ejpam-1975	300	18	�	�	PROPN
ejpam-1975	300	19	fi	fi	PROPN
ejpam-1975	300	20	,	,	PUNCT
ejpam-1975	300	21	a	a	DET
ejpam-1975	300	22	�	�	PROPN
ejpam-1975	300	23	.	.	PUNCT
ejpam-1975	301	1	hence	hence	ADV
ejpam-1975	301	2	(	(	PUNCT
ejpam-1975	301	3	yk	yk	PROPN
ejpam-1975	301	4	,	,	PUNCT
ejpam-1975	301	5	σ	σ	PROPN
ejpam-1975	301	6	)	)	PUNCT
ejpam-1975	301	7	is	be	AUX
ejpam-1975	301	8	compact	compact	ADJ
ejpam-1975	301	9	.	.	PUNCT
ejpam-1975	302	1	definition	definition	NOUN
ejpam-1975	302	2	21	21	NUM
ejpam-1975	302	3	.	.	PUNCT
ejpam-1975	303	1	let	let	VERB
ejpam-1975	303	2	(	(	PUNCT
ejpam-1975	303	3	xe	xe	PROPN
ejpam-1975	303	4	,	,	PUNCT
ejpam-1975	303	5	τ	τ	PROPN
ejpam-1975	303	6	)	)	PUNCT
ejpam-1975	303	7	and	and	CCONJ
ejpam-1975	303	8	(	(	PUNCT
ejpam-1975	303	9	yk	yk	PROPN
ejpam-1975	303	10	,	,	PUNCT
ejpam-1975	303	11	σ	σ	PROPN
ejpam-1975	303	12	)	)	PUNCT
ejpam-1975	303	13	be	be	VERB
ejpam-1975	303	14	two	two	NUM
ejpam-1975	303	15	soft	soft	ADJ
ejpam-1975	303	16	multi	multi	ADJ
ejpam-1975	303	17	topological	topological	ADJ
ejpam-1975	303	18	spaces	space	NOUN
ejpam-1975	303	19	.	.	PUNCT
ejpam-1975	304	1	a	a	DET
ejpam-1975	304	2	soft	soft	ADJ
ejpam-1975	304	3	multi	multi	ADJ
ejpam-1975	304	4	function	function	NOUN
ejpam-1975	304	5	f	f	NOUN
ejpam-1975	304	6	:	:	PUNCT
ejpam-1975	304	7	(	(	PUNCT
ejpam-1975	304	8	xe	xe	PROPN
ejpam-1975	304	9	,	,	PUNCT
ejpam-1975	304	10	τ)→	τ)→	PROPN
ejpam-1975	304	11	(	(	PUNCT
ejpam-1975	304	12	yk	yk	PROPN
ejpam-1975	304	13	,	,	PUNCT
ejpam-1975	304	14	σ	σ	PROPN
ejpam-1975	304	15	)	)	PUNCT
ejpam-1975	304	16	is	be	AUX
ejpam-1975	304	17	called	call	VERB
ejpam-1975	304	18	soft	soft	ADJ
ejpam-1975	304	19	multi	multi	NOUN
ejpam-1975	304	20	closed	close	VERB
ejpam-1975	304	21	if	if	SCONJ
ejpam-1975	304	22	f	f	PROPN
ejpam-1975	304	23	(	(	PUNCT
ejpam-1975	304	24	(	(	PUNCT
ejpam-1975	304	25	f	f	X
ejpam-1975	304	26	,	,	PUNCT
ejpam-1975	304	27	a	a	PRON
ejpam-1975	304	28	)	)	PUNCT
ejpam-1975	304	29	)	)	PUNCT
ejpam-1975	304	30	is	be	AUX
ejpam-1975	304	31	soft	soft	ADJ
ejpam-1975	304	32	multi	multi	NOUN
ejpam-1975	304	33	closed	closed	ADJ
ejpam-1975	304	34	set	set	VERB
ejpam-1975	304	35	in	in	ADP
ejpam-1975	304	36	(	(	PUNCT
ejpam-1975	304	37	yk	yk	PROPN
ejpam-1975	304	38	,	,	PUNCT
ejpam-1975	304	39	σ	σ	PROPN
ejpam-1975	304	40	)	)	PUNCT
ejpam-1975	304	41	,	,	PUNCT
ejpam-1975	304	42	for	for	ADP
ejpam-1975	304	43	all	all	DET
ejpam-1975	304	44	soft	soft	ADJ
ejpam-1975	304	45	multi	multi	NOUN
ejpam-1975	304	46	closed	closed	ADJ
ejpam-1975	304	47	set	set	NOUN
ejpam-1975	304	48	(	(	PUNCT
ejpam-1975	304	49	f	f	X
ejpam-1975	304	50	,	,	PUNCT
ejpam-1975	304	51	a	a	PRON
ejpam-1975	304	52	)	)	PUNCT
ejpam-1975	304	53	in	in	ADP
ejpam-1975	304	54	(	(	PUNCT
ejpam-1975	304	55	xe	xe	PROPN
ejpam-1975	304	56	,	,	PUNCT
ejpam-1975	304	57	τ	τ	PROPN
ejpam-1975	304	58	)	)	PUNCT
ejpam-1975	304	59	.	.	PUNCT
ejpam-1975	305	1	theorem	theorem	NOUN
ejpam-1975	305	2	3	3	X
ejpam-1975	305	3	.	.	PUNCT
ejpam-1975	306	1	let	let	VERB
ejpam-1975	306	2	(	(	PUNCT
ejpam-1975	306	3	xe	xe	PROPN
ejpam-1975	306	4	,	,	PUNCT
ejpam-1975	306	5	τ	τ	PROPN
ejpam-1975	306	6	)	)	PUNCT
ejpam-1975	306	7	be	be	VERB
ejpam-1975	306	8	a	a	DET
ejpam-1975	306	9	soft	soft	ADJ
ejpam-1975	306	10	multi	multi	ADJ
ejpam-1975	306	11	topological	topological	ADJ
ejpam-1975	306	12	space	space	NOUN
ejpam-1975	306	13	and	and	CCONJ
ejpam-1975	306	14	(	(	PUNCT
ejpam-1975	306	15	yk	yk	PROPN
ejpam-1975	306	16	,	,	PUNCT
ejpam-1975	306	17	σ	σ	PROPN
ejpam-1975	306	18	)	)	PUNCT
ejpam-1975	306	19	be	be	AUX
ejpam-1975	306	20	a	a	DET
ejpam-1975	306	21	soft	soft	ADJ
ejpam-1975	306	22	multi	multi	ADJ
ejpam-1975	306	23	hausdorff	hausdorff	NOUN
ejpam-1975	306	24	space	space	NOUN
ejpam-1975	306	25	.	.	PUNCT
ejpam-1975	307	1	soft	soft	ADJ
ejpam-1975	307	2	multi	multi	ADJ
ejpam-1975	307	3	function	function	NOUN
ejpam-1975	307	4	f	f	PROPN
ejpam-1975	307	5	is	be	AUX
ejpam-1975	307	6	closed	close	VERB
ejpam-1975	307	7	if	if	SCONJ
ejpam-1975	307	8	soft	soft	ADJ
ejpam-1975	307	9	multi	multi	ADJ
ejpam-1975	307	10	function	function	NOUN
ejpam-1975	307	11	f	f	NOUN
ejpam-1975	307	12	:	:	PUNCT
ejpam-1975	307	13	(	(	PUNCT
ejpam-1975	307	14	xe	xe	PROPN
ejpam-1975	307	15	,	,	PUNCT
ejpam-1975	307	16	τ)→	τ)→	PROPN
ejpam-1975	307	17	(	(	PUNCT
ejpam-1975	307	18	yk	yk	PROPN
ejpam-1975	307	19	,	,	PUNCT
ejpam-1975	307	20	σ	σ	PROPN
ejpam-1975	307	21	)	)	PUNCT
ejpam-1975	307	22	is	be	AUX
ejpam-1975	307	23	continuous	continuous	ADJ
ejpam-1975	307	24	.	.	PUNCT
ejpam-1975	308	1	proof	proof	NOUN
ejpam-1975	308	2	.	.	PUNCT
ejpam-1975	309	1	let	let	VERB
ejpam-1975	309	2	(	(	PUNCT
ejpam-1975	309	3	g	g	NOUN
ejpam-1975	309	4	,	,	PUNCT
ejpam-1975	309	5	b	b	NOUN
ejpam-1975	309	6	)	)	PUNCT
ejpam-1975	309	7	be	be	AUX
ejpam-1975	309	8	any	any	DET
ejpam-1975	309	9	soft	soft	ADJ
ejpam-1975	309	10	multi	multi	NOUN
ejpam-1975	309	11	closed	closed	ADJ
ejpam-1975	309	12	set	set	VERB
ejpam-1975	309	13	in	in	ADP
ejpam-1975	309	14	(	(	PUNCT
ejpam-1975	309	15	xe	xe	PROPN
ejpam-1975	309	16	,	,	PUNCT
ejpam-1975	309	17	τ	τ	PROPN
ejpam-1975	309	18	)	)	PUNCT
ejpam-1975	309	19	.	.	PUNCT
ejpam-1975	310	1	by	by	ADP
ejpam-1975	310	2	proposition	proposition	NOUN
ejpam-1975	310	3	1	1	NUM
ejpam-1975	310	4	we	we	PRON
ejpam-1975	310	5	have	have	AUX
ejpam-1975	310	6	(	(	PUNCT
ejpam-1975	310	7	g	g	NOUN
ejpam-1975	310	8	,	,	PUNCT
ejpam-1975	310	9	b	b	NOUN
ejpam-1975	310	10	)	)	PUNCT
ejpam-1975	310	11	is	be	AUX
ejpam-1975	310	12	compact	compact	ADJ
ejpam-1975	310	13	.	.	PUNCT
ejpam-1975	311	1	since	since	SCONJ
ejpam-1975	311	2	soft	soft	ADJ
ejpam-1975	311	3	multi	multi	ADJ
ejpam-1975	311	4	function	function	NOUN
ejpam-1975	311	5	�	�	PROPN
ejpam-1975	311	6	ϕ,ψ	ϕ,ψ	PROPN
ejpam-1975	311	7	�	�	PROPN
ejpam-1975	311	8	is	be	AUX
ejpam-1975	311	9	continuous	continuous	ADJ
ejpam-1975	311	10	,	,	PUNCT
ejpam-1975	311	11	soft	soft	ADJ
ejpam-1975	311	12	multiset	multiset	VERB
ejpam-1975	311	13	f	f	X
ejpam-1975	311	14	(	(	PUNCT
ejpam-1975	311	15	(	(	PUNCT
ejpam-1975	311	16	g	g	NOUN
ejpam-1975	311	17	,	,	PUNCT
ejpam-1975	311	18	b	b	NOUN
ejpam-1975	311	19	)	)	PUNCT
ejpam-1975	311	20	)	)	PUNCT
ejpam-1975	311	21	is	be	AUX
ejpam-1975	311	22	compact	compact	ADJ
ejpam-1975	311	23	in	in	ADP
ejpam-1975	311	24	(	(	PUNCT
ejpam-1975	311	25	yk	yk	PROPN
ejpam-1975	311	26	,	,	PUNCT
ejpam-1975	311	27	σ	σ	PROPN
ejpam-1975	311	28	)	)	PUNCT
ejpam-1975	311	29	.	.	PUNCT
ejpam-1975	312	1	as	as	SCONJ
ejpam-1975	312	2	(	(	PUNCT
ejpam-1975	312	3	yk	yk	PROPN
ejpam-1975	312	4	,	,	PUNCT
ejpam-1975	312	5	σ	σ	PROPN
ejpam-1975	312	6	)	)	PUNCT
ejpam-1975	312	7	is	be	AUX
ejpam-1975	312	8	soft	soft	ADJ
ejpam-1975	312	9	multi	multi	ADJ
ejpam-1975	312	10	hausdorff	hausdorff	NOUN
ejpam-1975	312	11	space	space	NOUN
ejpam-1975	312	12	,	,	PUNCT
ejpam-1975	312	13	soft	soft	ADJ
ejpam-1975	312	14	multiset	multiset	VERB
ejpam-1975	312	15	f	f	X
ejpam-1975	312	16	(	(	PUNCT
ejpam-1975	312	17	(	(	PUNCT
ejpam-1975	312	18	g	g	NOUN
ejpam-1975	312	19	,	,	PUNCT
ejpam-1975	312	20	b	b	NOUN
ejpam-1975	312	21	)	)	PUNCT
ejpam-1975	312	22	)	)	PUNCT
ejpam-1975	312	23	is	be	AUX
ejpam-1975	312	24	closed	close	VERB
ejpam-1975	312	25	.	.	PUNCT
ejpam-1975	313	1	then	then	ADV
ejpam-1975	313	2	soft	soft	ADJ
ejpam-1975	313	3	multi	multi	ADJ
ejpam-1975	313	4	function	function	NOUN
ejpam-1975	313	5	f	f	PROPN
ejpam-1975	313	6	is	be	AUX
ejpam-1975	313	7	closed	closed	ADJ
ejpam-1975	313	8	.	.	PUNCT
ejpam-1975	314	1	definition	definition	NOUN
ejpam-1975	314	2	22	22	NUM
ejpam-1975	314	3	.	.	PUNCT
ejpam-1975	315	1	a	a	DET
ejpam-1975	315	2	family	family	NOUN
ejpam-1975	315	3	ψ	ψ	X
ejpam-1975	315	4	of	of	ADP
ejpam-1975	315	5	whole	whole	ADJ
ejpam-1975	315	6	soft	soft	ADJ
ejpam-1975	315	7	multisets	multiset	NOUN
ejpam-1975	315	8	has	have	VERB
ejpam-1975	315	9	the	the	DET
ejpam-1975	315	10	finite	finite	ADJ
ejpam-1975	315	11	intersection	intersection	NOUN
ejpam-1975	315	12	property	property	NOUN
ejpam-1975	315	13	if	if	SCONJ
ejpam-1975	315	14	the	the	DET
ejpam-1975	315	15	intersection	intersection	NOUN
ejpam-1975	315	16	of	of	ADP
ejpam-1975	315	17	the	the	DET
ejpam-1975	315	18	members	member	NOUN
ejpam-1975	315	19	of	of	ADP
ejpam-1975	315	20	each	each	DET
ejpam-1975	315	21	finite	finite	NOUN
ejpam-1975	315	22	subfamily	subfamily	ADV
ejpam-1975	315	23	of	of	ADP
ejpam-1975	315	24	ψ	ψ	NOUN
ejpam-1975	315	25	is	be	AUX
ejpam-1975	315	26	not	not	PART
ejpam-1975	315	27	the	the	DET
ejpam-1975	315	28	null	null	ADJ
ejpam-1975	315	29	soft	soft	ADJ
ejpam-1975	315	30	multiset	multiset	NOUN
ejpam-1975	315	31	.	.	PUNCT
ejpam-1975	316	1	theorem	theorem	ADJ
ejpam-1975	316	2	4	4	NUM
ejpam-1975	316	3	.	.	PUNCT
ejpam-1975	317	1	a	a	DET
ejpam-1975	317	2	soft	soft	ADJ
ejpam-1975	317	3	multi	multi	ADJ
ejpam-1975	317	4	topological	topological	ADJ
ejpam-1975	317	5	space	space	NOUN
ejpam-1975	317	6	is	be	AUX
ejpam-1975	317	7	compact	compact	ADJ
ejpam-1975	317	8	if	if	SCONJ
ejpam-1975	318	1	and	and	CCONJ
ejpam-1975	318	2	only	only	ADV
ejpam-1975	318	3	if	if	SCONJ
ejpam-1975	318	4	each	each	DET
ejpam-1975	318	5	family	family	NOUN
ejpam-1975	318	6	of	of	ADP
ejpam-1975	318	7	whole	whole	ADJ
ejpam-1975	318	8	soft	soft	ADJ
ejpam-1975	318	9	multi	multi	ADJ
ejpam-1975	318	10	closed	closed	ADJ
ejpam-1975	318	11	sets	set	NOUN
ejpam-1975	318	12	with	with	ADP
ejpam-1975	318	13	the	the	DET
ejpam-1975	318	14	finite	finite	ADJ
ejpam-1975	318	15	intersection	intersection	NOUN
ejpam-1975	318	16	property	property	NOUN
ejpam-1975	318	17	has	have	VERB
ejpam-1975	318	18	a	a	DET
ejpam-1975	318	19	nonnull	nonnull	NOUN
ejpam-1975	318	20	intersection	intersection	NOUN
ejpam-1975	318	21	.	.	PUNCT
ejpam-1975	319	1	proof	proof	NOUN
ejpam-1975	319	2	.	.	PUNCT
ejpam-1975	320	1	⇒	⇒	NOUN
ejpam-1975	320	2	:	:	PUNCT
ejpam-1975	320	3	let	let	VERB
ejpam-1975	320	4	ψ	ψ	PART
ejpam-1975	320	5	be	be	AUX
ejpam-1975	320	6	any	any	DET
ejpam-1975	320	7	family	family	NOUN
ejpam-1975	320	8	of	of	ADP
ejpam-1975	320	9	whole	whole	ADJ
ejpam-1975	320	10	soft	soft	ADJ
ejpam-1975	320	11	multi	multi	NOUN
ejpam-1975	320	12	closed	closed	ADJ
ejpam-1975	320	13	subset	subset	NOUN
ejpam-1975	320	14	such	such	ADJ
ejpam-1975	320	15	that	that	SCONJ
ejpam-1975	320	16	∩	∩	NOUN
ejpam-1975	320	17	{	{	PUNCT
ejpam-1975	320	18	�	�	PROPN
ejpam-1975	320	19	fi	fi	PROPN
ejpam-1975	320	20	,	,	PUNCT
ejpam-1975	320	21	a	a	DET
ejpam-1975	320	22	�	�	PROPN
ejpam-1975	320	23	:	:	PUNCT
ejpam-1975	320	24	�	�	PROPN
ejpam-1975	320	25	fi	fi	PROPN
ejpam-1975	320	26	,	,	PUNCT
ejpam-1975	320	27	a	a	DET
ejpam-1975	320	28	�	�	PROPN
ejpam-1975	320	29	∈	∈	PROPN
ejpam-1975	320	30	ψ	ψ	NOUN
ejpam-1975	320	31	,	,	PUNCT
ejpam-1975	320	32	i	i	PRON
ejpam-1975	320	33	∈	∈	VERB
ejpam-1975	320	34	i	i	PRON
ejpam-1975	321	1	}	}	PUNCT
ejpam-1975	321	2	=	=	SYM
ejpam-1975	321	3	φ	φ	PROPN
ejpam-1975	321	4	.	.	PUNCT
ejpam-1975	321	5	consider	consider	VERB
ejpam-1975	321	6	ω	ω	NUM
ejpam-1975	321	7	=	=	PRON
ejpam-1975	321	8	{	{	PUNCT
ejpam-1975	321	9	�	�	PROPN
ejpam-1975	321	10	fi	fi	NOUN
ejpam-1975	321	11	,	,	PUNCT
ejpam-1975	321	12	a	a	DET
ejpam-1975	321	13	�	�	NOUN
ejpam-1975	321	14	c	c	NOUN
ejpam-1975	321	15	:	:	PUNCT
ejpam-1975	321	16	�	�	PROPN
ejpam-1975	321	17	fi	fi	PROPN
ejpam-1975	321	18	,	,	PUNCT
ejpam-1975	321	19	a	a	DET
ejpam-1975	321	20	�	�	PROPN
ejpam-1975	321	21	∈	∈	PROPN
ejpam-1975	321	22	ψ	ψ	NOUN
ejpam-1975	321	23	,	,	PUNCT
ejpam-1975	321	24	i	i	PRON
ejpam-1975	321	25	∈	∈	VERB
ejpam-1975	321	26	i	i	X
ejpam-1975	321	27	}	}	PUNCT
ejpam-1975	321	28	.	.	PUNCT
ejpam-1975	322	1	so	so	ADV
ejpam-1975	322	2	ω	ω	PROPN
ejpam-1975	322	3	is	be	AUX
ejpam-1975	322	4	a	a	DET
ejpam-1975	322	5	soft	soft	ADJ
ejpam-1975	322	6	multi	multi	ADJ
ejpam-1975	322	7	open	open	ADJ
ejpam-1975	322	8	cover	cover	NOUN
ejpam-1975	322	9	of	of	ADP
ejpam-1975	322	10	x̃	x̃	PROPN
ejpam-1975	322	11	.	.	PUNCT
ejpam-1975	323	1	as	as	SCONJ
ejpam-1975	323	2	soft	soft	ADJ
ejpam-1975	323	3	multi	multi	ADJ
ejpam-1975	323	4	topological	topological	ADJ
ejpam-1975	323	5	space	space	NOUN
ejpam-1975	323	6	is	be	AUX
ejpam-1975	323	7	compact	compact	ADJ
ejpam-1975	323	8	,	,	PUNCT
ejpam-1975	323	9	there	there	PRON
ejpam-1975	323	10	exists	exist	VERB
ejpam-1975	323	11	a	a	DET
ejpam-1975	323	12	finite	finite	NOUN
ejpam-1975	323	13	subcovering	subcovere	VERB
ejpam-1975	323	14	�	�	PROPN
ejpam-1975	323	15	f1	f1	PROPN
ejpam-1975	323	16	,	,	PUNCT
ejpam-1975	323	17	a	a	DET
ejpam-1975	323	18	�	�	PROPN
ejpam-1975	323	19	c	c	PROPN
ejpam-1975	323	20	,	,	PUNCT
ejpam-1975	323	21	�	�	PROPN
ejpam-1975	323	22	f2	f2	PROPN
ejpam-1975	323	23	,	,	PUNCT
ejpam-1975	323	24	a	a	DET
ejpam-1975	323	25	�	�	NOUN
ejpam-1975	323	26	c	c	NOUN
ejpam-1975	323	27	,	,	PUNCT
ejpam-1975	323	28	.	.	PUNCT
ejpam-1975	323	29	.	.	PUNCT
ejpam-1975	324	1	.	.	PUNCT
ejpam-1975	325	1	,	,	PUNCT
ejpam-1975	325	2	�	�	PROPN
ejpam-1975	325	3	f3	f3	PROPN
ejpam-1975	325	4	,	,	PUNCT
ejpam-1975	325	5	a	a	DET
ejpam-1975	325	6	�	�	NOUN
ejpam-1975	325	7	c	c	NOUN
ejpam-1975	325	8	.	.	PUNCT
ejpam-1975	326	1	then	then	ADV
ejpam-1975	326	2	∩n	∩n	PROPN
ejpam-1975	326	3	i=1	i=1	PROPN
ejpam-1975	326	4	�	�	PROPN
ejpam-1975	326	5	fi	fi	PROPN
ejpam-1975	326	6	,	,	PUNCT
ejpam-1975	326	7	a	a	DET
ejpam-1975	326	8	�	�	PROPN
ejpam-1975	326	9	=	=	SYM
ejpam-1975	326	10	x̃−∪n	x̃−∪n	PROPN
ejpam-1975	326	11	i=1	i=1	PROPN
ejpam-1975	326	12	�	�	PROPN
ejpam-1975	326	13	fi	fi	PROPN
ejpam-1975	326	14	,	,	PUNCT
ejpam-1975	326	15	a	a	DET
ejpam-1975	326	16	�	�	NOUN
ejpam-1975	326	17	c	c	NOUN
ejpam-1975	326	18	=	=	SYM
ejpam-1975	326	19	x̃−x̃	x̃−x̃	NUM
ejpam-1975	327	1	=	=	SYM
ejpam-1975	327	2	φ	φ	PROPN
ejpam-1975	327	3	.	.	PUNCT
ejpam-1975	328	1	thence	thence	NOUN
ejpam-1975	328	2	ψ	ψ	NOUN
ejpam-1975	328	3	can	can	AUX
ejpam-1975	328	4	not	not	PART
ejpam-1975	328	5	have	have	VERB
ejpam-1975	328	6	finite	finite	ADJ
ejpam-1975	328	7	intersection	intersection	NOUN
ejpam-1975	328	8	property	property	NOUN
ejpam-1975	328	9	.	.	PUNCT
ejpam-1975	329	1	⇐	⇐	ADJ
ejpam-1975	329	2	:	:	PUNCT
ejpam-1975	329	3	assume	assume	VERB
ejpam-1975	329	4	that	that	SCONJ
ejpam-1975	329	5	a	a	DET
ejpam-1975	329	6	soft	soft	ADJ
ejpam-1975	329	7	multi	multi	ADJ
ejpam-1975	329	8	topological	topological	ADJ
ejpam-1975	329	9	space	space	NOUN
ejpam-1975	329	10	is	be	AUX
ejpam-1975	329	11	not	not	PART
ejpam-1975	329	12	compact	compact	ADJ
ejpam-1975	329	13	.	.	PUNCT
ejpam-1975	330	1	then	then	ADV
ejpam-1975	330	2	any	any	DET
ejpam-1975	330	3	soft	soft	ADJ
ejpam-1975	330	4	multi	multi	ADJ
ejpam-1975	330	5	open	open	ADJ
ejpam-1975	330	6	cover	cover	NOUN
ejpam-1975	330	7	of	of	ADP
ejpam-1975	330	8	x̃	x̃	PROPN
ejpam-1975	330	9	has	have	VERB
ejpam-1975	330	10	not	not	PART
ejpam-1975	330	11	a	a	DET
ejpam-1975	330	12	finite	finite	ADJ
ejpam-1975	330	13	subcover	subcover	PROPN
ejpam-1975	330	14	.	.	PUNCT
ejpam-1975	331	1	let	let	VERB
ejpam-1975	331	2	{	{	PUNCT
ejpam-1975	331	3	�	�	PROPN
ejpam-1975	331	4	fi	fi	NOUN
ejpam-1975	331	5	,	,	PUNCT
ejpam-1975	331	6	a	a	DET
ejpam-1975	331	7	�	�	NOUN
ejpam-1975	331	8	:	:	PUNCT
ejpam-1975	332	1	i	i	PRON
ejpam-1975	332	2	∈	∈	VERB
ejpam-1975	332	3	i	i	PRON
ejpam-1975	332	4	}	}	PUNCT
ejpam-1975	332	5	be	be	AUX
ejpam-1975	332	6	soft	soft	ADJ
ejpam-1975	332	7	multi	multi	ADJ
ejpam-1975	332	8	open	open	ADJ
ejpam-1975	332	9	cover	cover	NOUN
ejpam-1975	332	10	of	of	ADP
ejpam-1975	332	11	x̃	x̃	PROPN
ejpam-1975	332	12	.	.	PUNCT
ejpam-1975	333	1	so	so	ADV
ejpam-1975	333	2	∪n	∪n	PUNCT
ejpam-1975	333	3	i=1	i=1	PROPN
ejpam-1975	333	4	�	�	PROPN
ejpam-1975	333	5	fi	fi	PROPN
ejpam-1975	333	6	,	,	PUNCT
ejpam-1975	333	7	a	a	DET
ejpam-1975	333	8	�	�	PROPN
ejpam-1975	333	9	6=	6=	NUM
ejpam-1975	333	10	x̃	x̃	PROPN
ejpam-1975	333	11	.	.	PUNCT
ejpam-1975	334	1	therefore	therefore	ADV
ejpam-1975	334	2	∩n	∩n	PROPN
ejpam-1975	334	3	i=1	i=1	PROPN
ejpam-1975	334	4	�	�	PROPN
ejpam-1975	334	5	fi	fi	PROPN
ejpam-1975	334	6	,	,	PUNCT
ejpam-1975	334	7	a	a	DET
ejpam-1975	334	8	�	�	PROPN
ejpam-1975	334	9	c	c	PROPN
ejpam-1975	334	10	6=	6=	PROPN
ejpam-1975	334	11	φ	φ	PROPN
ejpam-1975	334	12	.	.	PUNCT
ejpam-1975	335	1	thus	thus	ADV
ejpam-1975	335	2	,	,	PUNCT
ejpam-1975	335	3	¦	¦	PROPN
ejpam-1975	335	4	�	�	PROPN
ejpam-1975	335	5	fi	fi	PROPN
ejpam-1975	335	6	,	,	PUNCT
ejpam-1975	335	7	a	a	DET
ejpam-1975	335	8	�	�	NOUN
ejpam-1975	335	9	c	c	NOUN
ejpam-1975	335	10	:	:	PUNCT
ejpam-1975	335	11	i	i	NOUN
ejpam-1975	335	12	=	=	NOUN
ejpam-1975	335	13	1	1	NUM
ejpam-1975	335	14	,	,	PUNCT
ejpam-1975	335	15	.	.	PUNCT
ejpam-1975	335	16	.	.	PUNCT
ejpam-1975	335	17	.	.	PUNCT
ejpam-1975	336	1	,	,	PUNCT
ejpam-1975	336	2	n	n	PROPN
ejpam-1975	336	3	©	©	PROPN
ejpam-1975	336	4	have	have	VERB
ejpam-1975	336	5	finite	finite	ADJ
ejpam-1975	336	6	intersection	intersection	NOUN
ejpam-1975	336	7	property	property	NOUN
ejpam-1975	336	8	.	.	PUNCT
ejpam-1975	337	1	by	by	ADP
ejpam-1975	337	2	using	use	VERB
ejpam-1975	337	3	hypothesis	hypothesis	NOUN
ejpam-1975	337	4	,	,	PUNCT
ejpam-1975	337	5	∩	∩	ADJ
ejpam-1975	337	6	�	�	PROPN
ejpam-1975	337	7	fi	fi	NOUN
ejpam-1975	337	8	,	,	PUNCT
ejpam-1975	337	9	a	a	DET
ejpam-1975	337	10	�	�	PROPN
ejpam-1975	337	11	c	c	PROPN
ejpam-1975	337	12	6=	6=	PROPN
ejpam-1975	337	13	φ	φ	PROPN
ejpam-1975	337	14	and	and	CCONJ
ejpam-1975	337	15	so	so	ADV
ejpam-1975	337	16	∪	∪	ADJ
ejpam-1975	337	17	�	�	PROPN
ejpam-1975	337	18	fi	fi	NOUN
ejpam-1975	337	19	,	,	PUNCT
ejpam-1975	337	20	a	a	DET
ejpam-1975	337	21	�	�	PROPN
ejpam-1975	337	22	6=	6=	NUM
ejpam-1975	337	23	x̃	x̃	PROPN
ejpam-1975	337	24	.	.	PUNCT
ejpam-1975	338	1	this	this	PRON
ejpam-1975	338	2	is	be	AUX
ejpam-1975	338	3	a	a	DET
ejpam-1975	338	4	contradiction	contradiction	NOUN
ejpam-1975	338	5	.	.	PUNCT
ejpam-1975	339	1	thus	thus	ADV
ejpam-1975	339	2	soft	soft	ADJ
ejpam-1975	339	3	multi	multi	ADJ
ejpam-1975	339	4	topological	topological	ADJ
ejpam-1975	339	5	space	space	NOUN
ejpam-1975	339	6	is	be	AUX
ejpam-1975	339	7	compact	compact	ADJ
ejpam-1975	339	8	.	.	PUNCT
ejpam-1975	340	1	references	reference	NOUN
ejpam-1975	340	2	[	[	X
ejpam-1975	340	3	1	1	NUM
ejpam-1975	340	4	]	]	PUNCT
ejpam-1975	340	5	s.	s.	PROPN
ejpam-1975	340	6	atmaca	atmaca	PROPN
ejpam-1975	340	7	,	,	PUNCT
ejpam-1975	340	8	i.	i.	PROPN
ejpam-1975	340	9	zorlutuna	zorlutuna	PROPN
ejpam-1975	340	10	.	.	PUNCT
ejpam-1975	341	1	on	on	ADP
ejpam-1975	341	2	fuzzy	fuzzy	ADJ
ejpam-1975	341	3	soft	soft	ADJ
ejpam-1975	341	4	topological	topological	ADJ
ejpam-1975	341	5	spaces	space	NOUN
ejpam-1975	341	6	.	.	PUNCT
ejpam-1975	342	1	annals	annal	NOUN
ejpam-1975	342	2	of	of	ADP
ejpam-1975	342	3	fuzzy	fuzzy	ADJ
ejpam-1975	342	4	mathematics	mathematic	NOUN
ejpam-1975	342	5	and	and	CCONJ
ejpam-1975	342	6	informatics	informatic	NOUN
ejpam-1975	342	7	5	5	NUM
ejpam-1975	342	8	(	(	PUNCT
ejpam-1975	342	9	1	1	NUM
ejpam-1975	342	10	):	):	PUNCT
ejpam-1975	342	11	377–386	377–386	NUM
ejpam-1975	342	12	,	,	PUNCT
ejpam-1975	342	13	2013	2013	NUM
ejpam-1975	342	14	.	.	PUNCT
ejpam-1975	343	1	references	reference	NOUN
ejpam-1975	343	2	108	108	NUM
ejpam-1975	343	3	[	[	X
ejpam-1975	343	4	2	2	NUM
ejpam-1975	343	5	]	]	PUNCT
ejpam-1975	343	6	a.	a.	NOUN
ejpam-1975	343	7	aygunoglu	aygunoglu	PROPN
ejpam-1975	343	8	,	,	PUNCT
ejpam-1975	343	9	h.	h.	PROPN
ejpam-1975	343	10	aygun	aygun	PROPN
ejpam-1975	343	11	.	.	PUNCT
ejpam-1975	344	1	some	some	DET
ejpam-1975	344	2	note	note	NOUN
ejpam-1975	344	3	on	on	ADP
ejpam-1975	344	4	soft	soft	ADJ
ejpam-1975	344	5	topological	topological	ADJ
ejpam-1975	344	6	spaces	space	NOUN
ejpam-1975	344	7	.	.	PUNCT
ejpam-1975	345	1	neural	neural	ADJ
ejpam-1975	345	2	computing	computing	NOUN
ejpam-1975	345	3	and	and	CCONJ
ejpam-1975	345	4	applications	application	NOUN
ejpam-1975	345	5	21	21	NUM
ejpam-1975	345	6	:	:	PUNCT
ejpam-1975	345	7	113–119	113–119	NUM
ejpam-1975	345	8	,	,	PUNCT
ejpam-1975	345	9	2012	2012	NUM
ejpam-1975	345	10	.	.	PUNCT
ejpam-1975	346	1	[	[	X
ejpam-1975	346	2	3	3	X
ejpam-1975	346	3	]	]	X
ejpam-1975	346	4	n.	n.	PROPN
ejpam-1975	346	5	cagman	cagman	PROPN
ejpam-1975	346	6	,	,	PUNCT
ejpam-1975	346	7	s.	s.	PROPN
ejpam-1975	346	8	karatas	karatas	PROPN
ejpam-1975	346	9	,	,	PUNCT
ejpam-1975	346	10	and	and	CCONJ
ejpam-1975	346	11	s.	s.	PROPN
ejpam-1975	346	12	enginoglu	enginoglu	PROPN
ejpam-1975	346	13	.	.	PUNCT
ejpam-1975	346	14	soft	soft	ADJ
ejpam-1975	346	15	topology	topology	NOUN
ejpam-1975	346	16	.	.	PUNCT
ejpam-1975	347	1	computers	computer	NOUN
ejpam-1975	347	2	and	and	CCONJ
ejpam-1975	347	3	mathematics	mathematic	NOUN
ejpam-1975	347	4	with	with	ADP
ejpam-1975	347	5	applications	application	NOUN
ejpam-1975	347	6	62	62	NUM
ejpam-1975	347	7	:	:	PUNCT
ejpam-1975	347	8	351–358	351–358	NUM
ejpam-1975	347	9	,	,	PUNCT
ejpam-1975	347	10	2011	2011	NUM
ejpam-1975	347	11	.	.	PUNCT
ejpam-1975	348	1	[	[	X
ejpam-1975	348	2	4	4	NUM
ejpam-1975	348	3	]	]	X
ejpam-1975	348	4	s.p	s.p	PROPN
ejpam-1975	348	5	.	.	PROPN
ejpam-1975	348	6	jena	jena	PROPN
ejpam-1975	348	7	,	,	PUNCT
ejpam-1975	348	8	s.k	s.k	PROPN
ejpam-1975	348	9	.	.	PROPN
ejpam-1975	348	10	ghosh	ghosh	PROPN
ejpam-1975	348	11	,	,	PUNCT
ejpam-1975	348	12	and	and	CCONJ
ejpam-1975	348	13	b.k	b.k	INTJ
ejpam-1975	348	14	.	.	PROPN
ejpam-1975	348	15	tripathy	tripathy	PROPN
ejpam-1975	348	16	.	.	PUNCT
ejpam-1975	349	1	on	on	ADP
ejpam-1975	349	2	the	the	DET
ejpam-1975	349	3	theory	theory	NOUN
ejpam-1975	349	4	of	of	ADP
ejpam-1975	349	5	bags	bag	NOUN
ejpam-1975	349	6	and	and	CCONJ
ejpam-1975	349	7	lists	list	NOUN
ejpam-1975	349	8	.	.	PUNCT
ejpam-1975	350	1	information	information	NOUN
ejpam-1975	350	2	sciences	science	NOUN
ejpam-1975	350	3	132	132	NUM
ejpam-1975	350	4	:	:	PUNCT
ejpam-1975	350	5	241–254	241–254	NUM
ejpam-1975	350	6	,	,	PUNCT
ejpam-1975	350	7	2001	2001	NUM
ejpam-1975	350	8	.	.	PUNCT
ejpam-1975	351	1	[	[	X
ejpam-1975	351	2	5	5	X
ejpam-1975	351	3	]	]	PUNCT
ejpam-1975	351	4	j.	j.	PROPN
ejpam-1975	351	5	mahanta	mahanta	PROPN
ejpam-1975	351	6	,	,	PUNCT
ejpam-1975	351	7	p.k	p.k	PROPN
ejpam-1975	351	8	.	.	PUNCT
ejpam-1975	351	9	das	das	PROPN
ejpam-1975	351	10	.	.	PROPN
ejpam-1975	351	11	results	result	NOUN
ejpam-1975	351	12	on	on	ADP
ejpam-1975	351	13	fuzzy	fuzzy	ADJ
ejpam-1975	351	14	soft	soft	ADJ
ejpam-1975	351	15	topological	topological	ADJ
ejpam-1975	351	16	spaces	space	NOUN
ejpam-1975	351	17	.	.	PUNCT
ejpam-1975	352	1	arxiv:1203.0634	arxiv:1203.0634	PROPN
ejpam-1975	352	2	,	,	PUNCT
ejpam-1975	352	3	2012	2012	NUM
ejpam-1975	352	4	[	[	X
ejpam-1975	352	5	6	6	NUM
ejpam-1975	352	6	]	]	PUNCT
ejpam-1975	352	7	p.	p.	NOUN
ejpam-1975	352	8	k.	k.	PROPN
ejpam-1975	353	1	maji	maji	PROPN
ejpam-1975	353	2	,	,	PUNCT
ejpam-1975	353	3	r.	r.	PROPN
ejpam-1975	353	4	biswas	biswas	PROPN
ejpam-1975	353	5	,	,	PUNCT
ejpam-1975	353	6	and	and	CCONJ
ejpam-1975	354	1	a.	a.	PROPN
ejpam-1975	354	2	r.	r.	PROPN
ejpam-1975	354	3	roy	roy	PROPN
ejpam-1975	354	4	.	.	PROPN
ejpam-1975	354	5	fuzzy	fuzzy	ADJ
ejpam-1975	354	6	soft	soft	ADJ
ejpam-1975	354	7	sets	set	NOUN
ejpam-1975	354	8	.	.	PUNCT
ejpam-1975	355	1	the	the	DET
ejpam-1975	355	2	journal	journal	NOUN
ejpam-1975	355	3	of	of	ADP
ejpam-1975	355	4	fuzzy	fuzzy	ADJ
ejpam-1975	355	5	mathematics	mathematic	NOUN
ejpam-1975	355	6	203	203	NUM
ejpam-1975	355	7	(	(	PUNCT
ejpam-1975	355	8	2	2	NUM
ejpam-1975	355	9	):	):	PUNCT
ejpam-1975	355	10	589–602	589–602	NUM
ejpam-1975	355	11	,	,	PUNCT
ejpam-1975	355	12	2001	2001	NUM
ejpam-1975	355	13	.	.	PUNCT
ejpam-1975	356	1	[	[	X
ejpam-1975	356	2	7	7	NUM
ejpam-1975	356	3	]	]	X
ejpam-1975	356	4	w.k	w.k	PROPN
ejpam-1975	356	5	.	.	PROPN
ejpam-1975	356	6	min	min	PROPN
ejpam-1975	356	7	.	.	PROPN
ejpam-1975	356	8	a	a	DET
ejpam-1975	356	9	note	note	NOUN
ejpam-1975	356	10	on	on	ADP
ejpam-1975	356	11	soft	soft	ADJ
ejpam-1975	356	12	topological	topological	ADJ
ejpam-1975	356	13	spaces	space	NOUN
ejpam-1975	356	14	.	.	PUNCT
ejpam-1975	357	1	computers	computer	NOUN
ejpam-1975	357	2	and	and	CCONJ
ejpam-1975	357	3	mathematics	mathematic	NOUN
ejpam-1975	357	4	with	with	ADP
ejpam-1975	357	5	applications	application	NOUN
ejpam-1975	357	6	62	62	NUM
ejpam-1975	357	7	:	:	SYM
ejpam-1975	357	8	3524–3528	3524–3528	NUM
ejpam-1975	357	9	,	,	PUNCT
ejpam-1975	357	10	2011	2011	NUM
ejpam-1975	357	11	.	.	PUNCT
ejpam-1975	358	1	[	[	X
ejpam-1975	358	2	8	8	NUM
ejpam-1975	358	3	]	]	X
ejpam-1975	358	4	d.	d.	PROPN
ejpam-1975	358	5	molodtsov	molodtsov	PROPN
ejpam-1975	358	6	.	.	PUNCT
ejpam-1975	359	1	soft	soft	ADJ
ejpam-1975	359	2	set	set	NOUN
ejpam-1975	359	3	theory	theory	NOUN
ejpam-1975	359	4	-	-	PUNCT
ejpam-1975	359	5	first	first	ADJ
ejpam-1975	359	6	results	result	NOUN
ejpam-1975	359	7	.	.	PUNCT
ejpam-1975	360	1	computers	computer	NOUN
ejpam-1975	360	2	and	and	CCONJ
ejpam-1975	360	3	mathematics	mathematic	NOUN
ejpam-1975	360	4	with	with	ADP
ejpam-1975	360	5	applications	application	NOUN
ejpam-1975	360	6	37	37	NUM
ejpam-1975	360	7	(	(	PUNCT
ejpam-1975	360	8	4/5	4/5	NUM
ejpam-1975	360	9	):	):	PUNCT
ejpam-1975	360	10	19–31	19–31	NUM
ejpam-1975	360	11	,	,	PUNCT
ejpam-1975	360	12	1999	1999	NUM
ejpam-1975	360	13	.	.	PUNCT
ejpam-1975	361	1	[	[	X
ejpam-1975	361	2	9	9	NUM
ejpam-1975	361	3	]	]	PUNCT
ejpam-1975	361	4	z.	z.	PROPN
ejpam-1975	361	5	pawlak	pawlak	PROPN
ejpam-1975	361	6	.	.	PUNCT
ejpam-1975	362	1	rough	rough	ADJ
ejpam-1975	362	2	sets	set	NOUN
ejpam-1975	362	3	.	.	PUNCT
ejpam-1975	363	1	international	international	ADJ
ejpam-1975	363	2	journal	journal	NOUN
ejpam-1975	363	3	of	of	ADP
ejpam-1975	363	4	computer	computer	NOUN
ejpam-1975	363	5	and	and	CCONJ
ejpam-1975	363	6	information	information	NOUN
ejpam-1975	363	7	sciences	science	NOUN
ejpam-1975	363	8	11	11	NUM
ejpam-1975	363	9	:	:	PUNCT
ejpam-1975	363	10	341–356	341–356	NUM
ejpam-1975	363	11	,	,	PUNCT
ejpam-1975	363	12	1982	1982	NUM
ejpam-1975	363	13	.	.	PUNCT
ejpam-1975	364	1	[	[	X
ejpam-1975	364	2	10	10	NUM
ejpam-1975	364	3	]	]	X
ejpam-1975	364	4	s.	s.	PROPN
ejpam-1975	364	5	roy	roy	PROPN
ejpam-1975	364	6	,	,	PUNCT
ejpam-1975	364	7	t.	t.	PROPN
ejpam-1975	364	8	k.	k.	PROPN
ejpam-1975	364	9	samanta	samanta	PROPN
ejpam-1975	364	10	.	.	PUNCT
ejpam-1975	365	1	a	a	DET
ejpam-1975	365	2	note	note	NOUN
ejpam-1975	365	3	on	on	ADP
ejpam-1975	365	4	fuzzy	fuzzy	ADJ
ejpam-1975	365	5	soft	soft	ADJ
ejpam-1975	365	6	topological	topological	ADJ
ejpam-1975	365	7	spaces	space	NOUN
ejpam-1975	365	8	.	.	PUNCT
ejpam-1975	366	1	annals	annal	NOUN
ejpam-1975	366	2	of	of	ADP
ejpam-1975	366	3	fuzzy	fuzzy	ADJ
ejpam-1975	366	4	mathematics	mathematic	NOUN
ejpam-1975	366	5	and	and	CCONJ
ejpam-1975	366	6	informatics	informatic	NOUN
ejpam-1975	366	7	3	3	NUM
ejpam-1975	366	8	(	(	PUNCT
ejpam-1975	366	9	2	2	NUM
ejpam-1975	366	10	):	):	PUNCT
ejpam-1975	366	11	305–311	305–311	NUM
ejpam-1975	366	12	,	,	PUNCT
ejpam-1975	366	13	2011	2011	NUM
ejpam-1975	366	14	.	.	PUNCT
ejpam-1975	367	1	[	[	X
ejpam-1975	367	2	11	11	NUM
ejpam-1975	367	3	]	]	PUNCT
ejpam-1975	367	4	m.	m.	NOUN
ejpam-1975	367	5	shabir	shabir	PROPN
ejpam-1975	367	6	,	,	PUNCT
ejpam-1975	367	7	m.	m.	NOUN
ejpam-1975	367	8	naz	naz	PROPN
ejpam-1975	367	9	.	.	PUNCT
ejpam-1975	368	1	on	on	ADP
ejpam-1975	368	2	soft	soft	ADJ
ejpam-1975	368	3	topological	topological	ADJ
ejpam-1975	368	4	spaces	space	NOUN
ejpam-1975	368	5	.	.	PUNCT
ejpam-1975	369	1	computers	computer	NOUN
ejpam-1975	369	2	and	and	CCONJ
ejpam-1975	369	3	mathematics	mathematic	NOUN
ejpam-1975	369	4	with	with	ADP
ejpam-1975	369	5	applications	application	NOUN
ejpam-1975	369	6	61	61	NUM
ejpam-1975	369	7	:	:	PUNCT
ejpam-1975	369	8	1786–1799	1786–1799	NUM
ejpam-1975	369	9	,	,	PUNCT
ejpam-1975	369	10	2011	2011	NUM
ejpam-1975	369	11	.	.	PUNCT
ejpam-1975	370	1	[	[	X
ejpam-1975	370	2	12	12	NUM
ejpam-1975	370	3	]	]	PUNCT
ejpam-1975	370	4	b.	b.	PROPN
ejpam-1975	370	5	tanay	tanay	PROPN
ejpam-1975	370	6	,	,	PUNCT
ejpam-1975	370	7	m.	m.	PROPN
ejpam-1975	370	8	b.	b.	PROPN
ejpam-1975	370	9	kandemir	kandemir	PROPN
ejpam-1975	370	10	.	.	PUNCT
ejpam-1975	371	1	topological	topological	ADJ
ejpam-1975	371	2	structures	structure	NOUN
ejpam-1975	371	3	of	of	ADP
ejpam-1975	371	4	fuzzy	fuzzy	ADJ
ejpam-1975	371	5	soft	soft	ADJ
ejpam-1975	371	6	sets	set	NOUN
ejpam-1975	371	7	.	.	PUNCT
ejpam-1975	372	1	computers	computer	NOUN
ejpam-1975	372	2	and	and	CCONJ
ejpam-1975	372	3	mathematics	mathematic	NOUN
ejpam-1975	372	4	with	with	ADP
ejpam-1975	372	5	applications	application	NOUN
ejpam-1975	372	6	61	61	NUM
ejpam-1975	372	7	:	:	PUNCT
ejpam-1975	372	8	412–418	412–418	NUM
ejpam-1975	372	9	,	,	PUNCT
ejpam-1975	372	10	2011	2011	NUM
ejpam-1975	372	11	.	.	PUNCT
ejpam-1975	373	1	[	[	X
ejpam-1975	373	2	13	13	NUM
ejpam-1975	373	3	]	]	X
ejpam-1975	373	4	d.	d.	PROPN
ejpam-1975	373	5	tokat	tokat	PROPN
ejpam-1975	373	6	,	,	PUNCT
ejpam-1975	373	7	i.	i.	PROPN
ejpam-1975	373	8	osmanoglu	osmanoglu	PROPN
ejpam-1975	373	9	.	.	PUNCT
ejpam-1975	374	1	connectedness	connectedness	NOUN
ejpam-1975	374	2	on	on	ADP
ejpam-1975	374	3	soft	soft	ADJ
ejpam-1975	374	4	multi	multi	ADJ
ejpam-1975	374	5	topological	topological	ADJ
ejpam-1975	374	6	spaces	space	NOUN
ejpam-1975	374	7	.	.	PUNCT
ejpam-1975	375	1	journal	journal	NOUN
ejpam-1975	375	2	of	of	ADP
ejpam-1975	375	3	new	new	ADJ
ejpam-1975	375	4	results	result	NOUN
ejpam-1975	375	5	in	in	ADP
ejpam-1975	375	6	science	science	NOUN
ejpam-1975	375	7	2	2	NUM
ejpam-1975	375	8	:	:	PUNCT
ejpam-1975	375	9	8–18	8–18	NUM
ejpam-1975	375	10	,	,	PUNCT
ejpam-1975	375	11	2013	2013	NUM
ejpam-1975	375	12	.	.	PUNCT
ejpam-1975	376	1	[	[	X
ejpam-1975	376	2	14	14	NUM
ejpam-1975	376	3	]	]	X
ejpam-1975	376	4	b.p	b.p	PROPN
ejpam-1975	376	5	.	.	PROPN
ejpam-1975	376	6	varol	varol	PROPN
ejpam-1975	376	7	,	,	PUNCT
ejpam-1975	376	8	h.	h.	PROPN
ejpam-1975	376	9	aygun	aygun	PROPN
ejpam-1975	376	10	.	.	PUNCT
ejpam-1975	377	1	fuzzy	fuzzy	ADJ
ejpam-1975	377	2	soft	soft	ADJ
ejpam-1975	377	3	topology	topology	NOUN
ejpam-1975	377	4	.	.	PUNCT
ejpam-1975	378	1	hacettepe	hacettepe	PROPN
ejpam-1975	378	2	journal	journal	PROPN
ejpam-1975	378	3	of	of	ADP
ejpam-1975	378	4	mathematics	mathematic	NOUN
ejpam-1975	378	5	and	and	CCONJ
ejpam-1975	378	6	statistics	statistic	NOUN
ejpam-1975	378	7	41(3	41(3	NUM
ejpam-1975	378	8	):	):	PUNCT
ejpam-1975	378	9	407–419	407–419	NUM
ejpam-1975	378	10	,	,	PUNCT
ejpam-1975	378	11	2012	2012	NUM
ejpam-1975	378	12	.	.	PUNCT
ejpam-1975	379	1	[	[	X
ejpam-1975	379	2	15	15	NUM
ejpam-1975	379	3	]	]	X
ejpam-1975	379	4	b.p	b.p	PROPN
ejpam-1975	379	5	.	.	PROPN
ejpam-1975	379	6	varol	varol	PROPN
ejpam-1975	379	7	,	,	PUNCT
ejpam-1975	379	8	h.	h.	PROPN
ejpam-1975	379	9	aygun	aygun	PROPN
ejpam-1975	379	10	.	.	PUNCT
ejpam-1975	380	1	on	on	ADP
ejpam-1975	380	2	soft	soft	ADJ
ejpam-1975	380	3	hausdorff	hausdorff	NOUN
ejpam-1975	380	4	spaces	space	NOUN
ejpam-1975	380	5	.	.	PUNCT
ejpam-1975	381	1	annals	annal	NOUN
ejpam-1975	381	2	of	of	ADP
ejpam-1975	381	3	fuzzy	fuzzy	ADJ
ejpam-1975	381	4	mathematics	mathematic	NOUN
ejpam-1975	381	5	and	and	CCONJ
ejpam-1975	381	6	informatics	informatic	NOUN
ejpam-1975	381	7	5(1	5(1	NUM
ejpam-1975	381	8	):	):	PUNCT
ejpam-1975	381	9	15–24	15–24	NUM
ejpam-1975	381	10	,	,	PUNCT
ejpam-1975	381	11	2012	2012	NUM
ejpam-1975	381	12	.	.	PUNCT
ejpam-1975	382	1	[	[	X
ejpam-1975	382	2	16	16	NUM
ejpam-1975	382	3	]	]	X
ejpam-1975	382	4	r.r	r.r	PROPN
ejpam-1975	382	5	.	.	PROPN
ejpam-1975	382	6	yager	yager	PROPN
ejpam-1975	382	7	.	.	PUNCT
ejpam-1975	383	1	on	on	ADP
ejpam-1975	383	2	the	the	DET
ejpam-1975	383	3	theory	theory	NOUN
ejpam-1975	383	4	of	of	ADP
ejpam-1975	383	5	bags	bag	NOUN
ejpam-1975	383	6	.	.	PUNCT
ejpam-1975	384	1	international	international	ADJ
ejpam-1975	384	2	journal	journal	PROPN
ejpam-1975	384	3	of	of	ADP
ejpam-1975	384	4	general	general	ADJ
ejpam-1975	384	5	systems	system	NOUN
ejpam-1975	384	6	13	13	NUM
ejpam-1975	384	7	:	:	PUNCT
ejpam-1975	384	8	23–37	23–37	NUM
ejpam-1975	384	9	,	,	PUNCT
ejpam-1975	384	10	1981	1981	NUM
ejpam-1975	384	11	.	.	PUNCT
ejpam-1975	385	1	[	[	X
ejpam-1975	385	2	17	17	NUM
ejpam-1975	385	3	]	]	X
ejpam-1975	385	4	l.	l.	PROPN
ejpam-1975	385	5	a.	a.	PROPN
ejpam-1975	385	6	zadeh	zadeh	PROPN
ejpam-1975	385	7	.	.	PUNCT
ejpam-1975	385	8	fuzzy	fuzzy	ADJ
ejpam-1975	385	9	sets	set	NOUN
ejpam-1975	385	10	.	.	PUNCT
ejpam-1975	386	1	information	information	NOUN
ejpam-1975	386	2	and	and	CCONJ
ejpam-1975	386	3	control	control	NOUN
ejpam-1975	386	4	8	8	NUM
ejpam-1975	386	5	:	:	PUNCT
ejpam-1975	386	6	338–353	338–353	NUM
ejpam-1975	386	7	,	,	PUNCT
ejpam-1975	386	8	1965	1965	NUM
ejpam-1975	386	9	.	.	PUNCT
ejpam-1975	387	1	[	[	X
ejpam-1975	387	2	18	18	NUM
ejpam-1975	387	3	]	]	X
ejpam-1975	387	4	i.	i.	PROPN
ejpam-1975	387	5	zorlutuna	zorlutuna	PROPN
ejpam-1975	387	6	,	,	PUNCT
ejpam-1975	387	7	m.	m.	NOUN
ejpam-1975	387	8	akdag	akdag	PROPN
ejpam-1975	387	9	,	,	PUNCT
ejpam-1975	387	10	w.k	w.k	PROPN
ejpam-1975	387	11	.	.	PROPN
ejpam-1975	387	12	min	min	PROPN
ejpam-1975	387	13	,	,	PUNCT
ejpam-1975	387	14	and	and	CCONJ
ejpam-1975	387	15	s.	s.	PROPN
ejpam-1975	387	16	atmaca	atmaca	PROPN
ejpam-1975	387	17	.	.	PUNCT
ejpam-1975	388	1	remarks	remark	NOUN
ejpam-1975	388	2	on	on	ADP
ejpam-1975	388	3	soft	soft	ADJ
ejpam-1975	388	4	topological	topological	ADJ
ejpam-1975	388	5	spaces	space	NOUN
ejpam-1975	388	6	.	.	PUNCT
ejpam-1975	389	1	annals	annal	NOUN
ejpam-1975	389	2	of	of	ADP
ejpam-1975	389	3	fuzzy	fuzzy	ADJ
ejpam-1975	389	4	mathematics	mathematic	NOUN
ejpam-1975	389	5	and	and	CCONJ
ejpam-1975	389	6	informatics	informatic	NOUN
ejpam-1975	389	7	3	3	NUM
ejpam-1975	389	8	(	(	PUNCT
ejpam-1975	389	9	2	2	NUM
ejpam-1975	389	10	):	):	PUNCT
ejpam-1975	389	11	171–185	171–185	NUM
ejpam-1975	389	12	,	,	PUNCT
ejpam-1975	389	13	2012	2012	NUM
ejpam-1975	389	14	.	.	PUNCT