id	sid	tid	token	lemma	pos
iajs-317	1	1	microsoft	microsoft	PROPN
iajs-317	1	2	word	word	NOUN
iajs-317	1	3	33	33	NUM
iajs-317	1	4	523	523	NUM
iajs-317	1	5	|	|	NOUN
iajs-317	1	6	mathematics	mathematic	NOUN
iajs-317	1	7	2014	2014	NUM
iajs-317	1	8	)	)	PUNCT
iajs-317	1	9	عام	عام	ADP
iajs-317	1	10	3(العدد	3(العدد	NUM
iajs-317	1	11	27المجلد	27المجلد	NUM
iajs-317	1	12	مجلة	مجلة	VERB
iajs-317	1	13	إبن	إبن	NOUN
iajs-317	1	14	الھيثم	الھيثم	NOUN
iajs-317	1	15	للعلوم	للعلوم	NOUN
iajs-317	1	16	الصرفة	الصرفة	NOUN
iajs-317	2	1	و	و	PRON
iajs-317	2	2	التطبيقية	التطبيقية	ADJ
iajs-317	2	3	ibn	ibn	PROPN
iajs-317	2	4	al	al	PROPN
iajs-317	2	5	-	-	PUNCT
iajs-317	2	6	haitham	haitham	PROPN
iajs-317	2	7	jour	jour	X
iajs-317	2	8	.	.	PROPN
iajs-317	2	9	for	for	ADP
iajs-317	2	10	pure	pure	ADJ
iajs-317	2	11	&	&	CCONJ
iajs-317	2	12	appl	appl	PROPN
iajs-317	2	13	.	.	PUNCT
iajs-317	3	1	sci	sci	PROPN
iajs-317	3	2	.	.	PUNCT
iajs-317	3	3	vol	vol	NOUN
iajs-317	3	4	.	.	PROPN
iajs-317	4	1	27	27	NUM
iajs-317	4	2	(	(	PUNCT
iajs-317	4	3	3	3	NUM
iajs-317	4	4	)	)	PUNCT
iajs-317	4	5	2014	2014	NUM
iajs-317	4	6	on	on	ADP
iajs-317	4	7	bg**connected	bg**connecte	VERB
iajs-317	4	8	spaces	space	NOUN
iajs-317	4	9	afrahm	afrahm	NOUN
iajs-317	4	10	.	.	PUNCT
iajs-317	5	1	ibraheem	ibraheem	PROPN
iajs-317	5	2	department	department	PROPN
iajs-317	5	3	of	of	ADP
iajs-317	5	4	mathematics/	mathematics/	PROPN
iajs-317	5	5	college	college	NOUN
iajs-317	5	6	of	of	ADP
iajs-317	5	7	education/	education/	PROPN
iajs-317	5	8	university	university	PROPN
iajs-317	5	9	of	of	ADP
iajs-317	5	10	al	al	PROPN
iajs-317	5	11	-	-	PUNCT
iajs-317	5	12	mustansiriyah	mustansiriyah	NOUN
iajs-317	5	13	receved	receve	VERB
iajs-317	5	14	in	in	ADP
iajs-317	5	15	:	:	PUNCT
iajs-317	5	16	29	29	NUM
iajs-317	5	17	january	january	PROPN
iajs-317	5	18	2014	2014	NUM
iajs-317	5	19	,	,	PUNCT
iajs-317	5	20	acceptde	acceptde	VERB
iajs-317	5	21	in	in	ADP
iajs-317	5	22	:	:	PUNCT
iajs-317	5	23	8	8	NUM
iajs-317	5	24	july	july	PROPN
iajs-317	5	25	2014	2014	NUM
iajs-317	5	26	abstract	abstract	NOUN
iajs-317	5	27	in	in	ADP
iajs-317	5	28	this	this	DET
iajs-317	5	29	paper	paper	NOUN
iajs-317	5	30	,	,	PUNCT
iajs-317	5	31	we	we	PRON
iajs-317	5	32	define	define	VERB
iajs-317	5	33	the	the	DET
iajs-317	5	34	bg**-connected	bg**-connecte	VERB
iajs-317	5	35	space	space	NOUN
iajs-317	5	36	and	and	CCONJ
iajs-317	5	37	study	study	VERB
iajs-317	5	38	the	the	DET
iajs-317	5	39	relation	relation	NOUN
iajs-317	5	40	between	between	ADP
iajs-317	5	41	this	this	DET
iajs-317	5	42	space	space	NOUN
iajs-317	5	43	and	and	CCONJ
iajs-317	5	44	other	other	ADJ
iajs-317	5	45	kinds	kind	NOUN
iajs-317	5	46	of	of	ADP
iajs-317	5	47	connected	connected	ADJ
iajs-317	5	48	spaces	space	NOUN
iajs-317	5	49	.also	.also	PUNCT
iajs-317	5	50	we	we	PRON
iajs-317	5	51	study	study	VERB
iajs-317	5	52	some	some	DET
iajs-317	5	53	types	type	NOUN
iajs-317	5	54	of	of	ADP
iajs-317	5	55	continuous	continuous	ADJ
iajs-317	5	56	functions	function	NOUN
iajs-317	5	57	and	and	CCONJ
iajs-317	5	58	study	study	VERB
iajs-317	5	59	the	the	DET
iajs-317	5	60	relation	relation	NOUN
iajs-317	5	61	among	among	ADP
iajs-317	5	62	(	(	PUNCT
iajs-317	5	63	connected	connected	ADJ
iajs-317	5	64	space	space	NOUN
iajs-317	5	65	,	,	PUNCT
iajs-317	5	66	b	b	X
iajs-317	5	67	-	-	PUNCT
iajs-317	5	68	connected	connect	VERB
iajs-317	5	69	space	space	NOUN
iajs-317	5	70	,	,	PUNCT
iajs-317	5	71	bg	bg	NOUN
iajs-317	5	72	-	-	PUNCT
iajs-317	5	73	connected	connect	VERB
iajs-317	5	74	space	space	NOUN
iajs-317	5	75	and	and	CCONJ
iajs-317	5	76	bg**-connected	bg**-connecte	VERB
iajs-317	5	77	space	space	NOUN
iajs-317	5	78	)	)	PUNCT
iajs-317	5	79	under	under	ADP
iajs-317	5	80	these	these	DET
iajs-317	5	81	types	type	NOUN
iajs-317	5	82	of	of	ADP
iajs-317	5	83	continuous	continuous	ADJ
iajs-317	5	84	functions	function	NOUN
iajs-317	5	85	.	.	PUNCT
iajs-317	6	1	key	key	ADJ
iajs-317	6	2	words	word	NOUN
iajs-317	6	3	:	:	PUNCT
iajs-317	6	4	bg**-closed	bg**-closed	ADJ
iajs-317	6	5	set	set	NOUN
iajs-317	6	6	,	,	PUNCT
iajs-317	6	7	bg**-connected	bg**-connecte	VERB
iajs-317	6	8	space	space	NOUN
iajs-317	6	9	.	.	PUNCT
iajs-317	7	1	524	524	NUM
iajs-317	8	1	|	|	ADV
iajs-317	8	2	mathematics	mathematic	NOUN
iajs-317	8	3	2014	2014	NUM
iajs-317	8	4	)	)	PUNCT
iajs-317	8	5	عام	عام	ADP
iajs-317	8	6	3(العدد	3(العدد	NUM
iajs-317	8	7	27المجلد	27المجلد	NUM
iajs-317	9	1	مجلة	مجلة	VERB
iajs-317	9	2	إبن	إبن	NOUN
iajs-317	9	3	الھيثم	الھيثم	NOUN
iajs-317	9	4	للعلوم	للعلوم	NOUN
iajs-317	9	5	الصرفة	الصرفة	NOUN
iajs-317	10	1	و	و	PRON
iajs-317	10	2	التطبيقية	التطبيقية	ADJ
iajs-317	10	3	ibn	ibn	PROPN
iajs-317	10	4	al	al	PROPN
iajs-317	10	5	-	-	PUNCT
iajs-317	10	6	haitham	haitham	PROPN
iajs-317	10	7	jour	jour	X
iajs-317	10	8	.	.	PROPN
iajs-317	10	9	for	for	ADP
iajs-317	10	10	pure	pure	ADJ
iajs-317	10	11	&	&	CCONJ
iajs-317	10	12	appl	appl	PROPN
iajs-317	10	13	.	.	PUNCT
iajs-317	11	1	sci	sci	PROPN
iajs-317	11	2	.	.	PUNCT
iajs-317	11	3	vol	vol	NOUN
iajs-317	11	4	.	.	PROPN
iajs-317	12	1	27	27	NUM
iajs-317	12	2	(	(	PUNCT
iajs-317	12	3	3	3	NUM
iajs-317	12	4	)	)	PUNCT
iajs-317	12	5	2014	2014	NUM
iajs-317	12	6	1.introduction	1.introduction	NUM
iajs-317	12	7	the	the	DET
iajs-317	12	8	notion	notion	NOUN
iajs-317	12	9	of	of	ADP
iajs-317	12	10	b	b	NOUN
iajs-317	12	11	-	-	PUNCT
iajs-317	12	12	open	open	ADJ
iajs-317	12	13	set	set	NOUN
iajs-317	12	14	was	be	AUX
iajs-317	12	15	introduced	introduce	VERB
iajs-317	12	16	in	in	ADP
iajs-317	12	17	1996	1996	NUM
iajs-317	12	18	[	[	X
iajs-317	12	19	1	1	NUM
iajs-317	12	20	]	]	PUNCT
iajs-317	12	21	,	,	PUNCT
iajs-317	12	22	since	since	SCONJ
iajs-317	12	23	then	then	ADV
iajs-317	12	24	it	it	PRON
iajs-317	12	25	has	have	AUX
iajs-317	12	26	been	be	AUX
iajs-317	12	27	widely	widely	ADV
iajs-317	12	28	investigated	investigate	VERB
iajs-317	12	29	in	in	ADP
iajs-317	12	30	the	the	DET
iajs-317	12	31	literature	literature	NOUN
iajs-317	12	32	(	(	PUNCT
iajs-317	12	33	see	see	VERB
iajs-317	12	34	[	[	X
iajs-317	12	35	1	1	NUM
iajs-317	12	36	]	]	PUNCT
iajs-317	12	37	,	,	PUNCT
iajs-317	13	1	[	[	X
iajs-317	13	2	8	8	NUM
iajs-317	13	3	]	]	PUNCT
iajs-317	13	4	)	)	PUNCT
iajs-317	13	5	.a.m	.a.m	PUNCT
iajs-317	13	6	.	.	PUNCT
iajs-317	14	1	[	[	X
iajs-317	14	2	7	7	X
iajs-317	14	3	]	]	PUNCT
iajs-317	14	4	introduce	introduce	VERB
iajs-317	14	5	the	the	DET
iajs-317	14	6	concepts	concept	NOUN
iajs-317	14	7	(	(	PUNCT
iajs-317	14	8	bg**-open	bg**-open	ADJ
iajs-317	14	9	set	set	NOUN
iajs-317	14	10	,	,	PUNCT
iajs-317	14	11	bg**-continuous	bg**-continuous	ADJ
iajs-317	14	12	function	function	NOUN
iajs-317	14	13	and	and	CCONJ
iajs-317	14	14	bg**-irresolute	bg**-irresolute	NOUN
iajs-317	14	15	function	function	NOUN
iajs-317	14	16	)	)	PUNCT
iajs-317	14	17	.	.	PUNCT
iajs-317	15	1	the	the	DET
iajs-317	15	2	concepts	concept	NOUN
iajs-317	15	3	(	(	PUNCT
iajs-317	15	4	b	b	X
iajs-317	15	5	-	-	PUNCT
iajs-317	15	6	connected	connect	VERB
iajs-317	15	7	space	space	NOUN
iajs-317	15	8	and	and	CCONJ
iajs-317	15	9	bg	bg	NOUN
iajs-317	15	10	-	-	PUNCT
iajs-317	15	11	connected	connect	VERB
iajs-317	15	12	space	space	NOUN
iajs-317	15	13	)	)	PUNCT
iajs-317	15	14	were	be	AUX
iajs-317	15	15	introduced	introduce	VERB
iajs-317	15	16	in	in	ADP
iajs-317	15	17	[	[	X
iajs-317	15	18	9	9	NUM
iajs-317	15	19	]	]	PUNCT
iajs-317	15	20	and	and	CCONJ
iajs-317	15	21	[	[	X
iajs-317	15	22	6	6	NUM
iajs-317	15	23	]	]	PUNCT
iajs-317	15	24	respectively	respectively	ADV
iajs-317	15	25	.	.	PUNCT
iajs-317	16	1	in	in	ADP
iajs-317	16	2	this	this	DET
iajs-317	16	3	work	work	NOUN
iajs-317	16	4	,	,	PUNCT
iajs-317	16	5	we	we	PRON
iajs-317	16	6	introduce	introduce	VERB
iajs-317	16	7	the	the	DET
iajs-317	16	8	concept	concept	NOUN
iajs-317	16	9	of	of	ADP
iajs-317	16	10	bg**-connected	bg**-connecte	VERB
iajs-317	16	11	space	space	NOUN
iajs-317	16	12	and	and	CCONJ
iajs-317	16	13	study	study	VERB
iajs-317	16	14	its	its	PRON
iajs-317	16	15	relations	relation	NOUN
iajs-317	16	16	with	with	ADP
iajs-317	16	17	(	(	PUNCT
iajs-317	16	18	b	b	X
iajs-317	16	19	-	-	PUNCT
iajs-317	16	20	connected	connect	VERB
iajs-317	16	21	and	and	CCONJ
iajs-317	16	22	bg	bg	NOUN
iajs-317	16	23	-	-	PUNCT
iajs-317	16	24	connected	connect	VERB
iajs-317	16	25	space	space	NOUN
iajs-317	16	26	)	)	PUNCT
iajs-317	16	27	.also	.also	PUNCT
iajs-317	16	28	we	we	PRON
iajs-317	16	29	study	study	VERB
iajs-317	16	30	some	some	DET
iajs-317	16	31	types	type	NOUN
iajs-317	16	32	of	of	ADP
iajs-317	16	33	continuous	continuous	ADJ
iajs-317	16	34	function	function	NOUN
iajs-317	16	35	which	which	PRON
iajs-317	16	36	are	be	AUX
iajs-317	16	37	:	:	PUNCT
iajs-317	16	38	(	(	PUNCT
iajs-317	16	39	b	b	X
iajs-317	16	40	-	-	PUNCT
iajs-317	16	41	continuous	continuous	ADJ
iajs-317	16	42	function	function	NOUN
iajs-317	16	43	,	,	PUNCT
iajs-317	16	44	bg	bg	NOUN
iajs-317	16	45	-	-	ADJ
iajs-317	16	46	continuous	continuous	ADJ
iajs-317	16	47	function	function	NOUN
iajs-317	16	48	and	and	CCONJ
iajs-317	16	49	bg**-continuous	bg**-continuous	ADJ
iajs-317	16	50	function	function	NOUN
iajs-317	16	51	)	)	PUNCT
iajs-317	16	52	,	,	PUNCT
iajs-317	16	53	and	and	CCONJ
iajs-317	16	54	study	study	VERB
iajs-317	16	55	the	the	DET
iajs-317	16	56	image	image	NOUN
iajs-317	16	57	of	of	ADP
iajs-317	16	58	(	(	PUNCT
iajs-317	16	59	connected	connected	ADJ
iajs-317	16	60	space	space	NOUN
iajs-317	16	61	,	,	PUNCT
iajs-317	16	62	b	b	X
iajs-317	16	63	-	-	PUNCT
iajs-317	16	64	connected	connect	VERB
iajs-317	16	65	space	space	NOUN
iajs-317	16	66	,	,	PUNCT
iajs-317	16	67	bg	bg	NOUN
iajs-317	16	68	-	-	PUNCT
iajs-317	16	69	connected	connect	VERB
iajs-317	16	70	space	space	NOUN
iajs-317	16	71	and	and	CCONJ
iajs-317	16	72	bg**-connected	bg**-connecte	VERB
iajs-317	16	73	space	space	NOUN
iajs-317	16	74	)	)	PUNCT
iajs-317	16	75	under	under	ADP
iajs-317	16	76	these	these	DET
iajs-317	16	77	types	type	NOUN
iajs-317	16	78	of	of	ADP
iajs-317	16	79	functions	function	NOUN
iajs-317	16	80	.	.	PUNCT
iajs-317	17	1	2	2	X
iajs-317	17	2	.	.	NUM
iajs-317	17	3	preliminaries	preliminary	NOUN
iajs-317	17	4	throughout	throughout	ADP
iajs-317	17	5	the	the	DET
iajs-317	17	6	paper	paper	NOUN
iajs-317	17	7	x	x	PUNCT
iajs-317	17	8	and	and	CCONJ
iajs-317	17	9	y	y	PROPN
iajs-317	17	10	represent	represent	VERB
iajs-317	17	11	topological	topological	ADJ
iajs-317	17	12	spaces	space	NOUN
iajs-317	17	13	on	on	ADP
iajs-317	17	14	which	which	PRON
iajs-317	17	15	no	no	DET
iajs-317	17	16	separation	separation	NOUN
iajs-317	17	17	axioms	axiom	NOUN
iajs-317	17	18	are	be	AUX
iajs-317	17	19	assumed	assume	VERB
iajs-317	17	20	unless	unless	SCONJ
iajs-317	17	21	otherwise	otherwise	ADV
iajs-317	17	22	mentioned	mention	VERB
iajs-317	17	23	.	.	PUNCT
iajs-317	18	1	we	we	PRON
iajs-317	18	2	recall	recall	VERB
iajs-317	18	3	the	the	DET
iajs-317	18	4	following	follow	VERB
iajs-317	18	5	definitions	definition	NOUN
iajs-317	18	6	,	,	PUNCT
iajs-317	18	7	which	which	PRON
iajs-317	18	8	are	be	AUX
iajs-317	18	9	useful	useful	ADJ
iajs-317	18	10	in	in	ADP
iajs-317	18	11	the	the	DET
iajs-317	18	12	sequel	sequel	NOUN
iajs-317	18	13	.	.	PUNCT
iajs-317	19	1	definition	definition	NOUN
iajs-317	19	2	2.1	2.1	NUM
iajs-317	19	3	:	:	PUNCT
iajs-317	20	1	[	[	X
iajs-317	20	2	1	1	X
iajs-317	20	3	]	]	PUNCT
iajs-317	20	4	a	a	DET
iajs-317	20	5	subset	subset	NOUN
iajs-317	20	6	a	a	PRON
iajs-317	20	7	of	of	ADP
iajs-317	20	8	a	a	DET
iajs-317	20	9	topological	topological	ADJ
iajs-317	20	10	space	space	NOUN
iajs-317	20	11	x	x	PRON
iajs-317	20	12	is	be	AUX
iajs-317	20	13	said	say	VERB
iajs-317	20	14	to	to	PART
iajs-317	20	15	be	be	AUX
iajs-317	20	16	b	b	NOUN
iajs-317	20	17	-	-	PUNCT
iajs-317	20	18	open	open	ADJ
iajs-317	20	19	if	if	SCONJ
iajs-317	20	20	a⊆cl(int	a⊆cl(int	PROPN
iajs-317	20	21	(	(	PUNCT
iajs-317	20	22	a	a	NOUN
iajs-317	20	23	)	)	PUNCT
iajs-317	20	24	)	)	PUNCT
iajs-317	20	25	u	u	PROPN
iajs-317	20	26	int(cl(a	int(cl(a	PROPN
iajs-317	20	27	)	)	PUNCT
iajs-317	20	28	)	)	PUNCT
iajs-317	20	29	.	.	PUNCT
iajs-317	21	1	and	and	CCONJ
iajs-317	21	2	a	a	PRON
iajs-317	21	3	is	be	AUX
iajs-317	21	4	said	say	VERB
iajs-317	21	5	to	to	PART
iajs-317	21	6	be	be	AUX
iajs-317	21	7	b	b	NOUN
iajs-317	21	8	-	-	PUNCT
iajs-317	21	9	closed	closed	ADJ
iajs-317	21	10	set	set	NOUN
iajs-317	21	11	if	if	SCONJ
iajs-317	21	12	int(cl(a))∩cl(int(a	int(cl(a))∩cl(int(a	PROPN
iajs-317	21	13	)	)	PUNCT
iajs-317	21	14	)	)	PUNCT
iajs-317	21	15	⊆a	⊆a	NOUN
iajs-317	21	16	.	.	PUNCT
iajs-317	22	1	definition	definition	NOUN
iajs-317	22	2	2.2	2.2	NUM
iajs-317	22	3	:	:	PUNCT
iajs-317	23	1	[	[	X
iajs-317	23	2	5	5	X
iajs-317	23	3	]	]	PUNCT
iajs-317	23	4	a	a	DET
iajs-317	23	5	subset	subset	NOUN
iajs-317	23	6	a	a	PRON
iajs-317	23	7	of	of	ADP
iajs-317	23	8	a	a	DET
iajs-317	23	9	topological	topological	ADJ
iajs-317	23	10	space	space	NOUN
iajs-317	23	11	x	x	PRON
iajs-317	23	12	is	be	AUX
iajs-317	23	13	said	say	VERB
iajs-317	23	14	to	to	PART
iajs-317	23	15	be	be	AUX
iajs-317	23	16	bg	bg	NOUN
iajs-317	23	17	-	-	PUNCT
iajs-317	23	18	closed	closed	ADJ
iajs-317	23	19	if	if	SCONJ
iajs-317	23	20	bcl(a	bcl(a	VERB
iajs-317	23	21	)	)	PUNCT
iajs-317	23	22	⊆	⊆	NUM
iajs-317	23	23	u	u	NOUN
iajs-317	23	24	whenever	whenever	SCONJ
iajs-317	23	25	a	a	DET
iajs-317	23	26	⊆u	⊆u	NOUN
iajs-317	23	27	and	and	CCONJ
iajs-317	23	28	u	u	NOUN
iajs-317	23	29	is	be	AUX
iajs-317	23	30	open	open	ADJ
iajs-317	23	31	.	.	PUNCT
iajs-317	24	1	a	a	PRON
iajs-317	24	2	will	will	AUX
iajs-317	24	3	be	be	AUX
iajs-317	24	4	called	call	VERB
iajs-317	24	5	bg	bg	INTJ
iajs-317	24	6	-	-	NOUN
iajs-317	24	7	open	open	ADJ
iajs-317	24	8	if	if	SCONJ
iajs-317	24	9	its	its	PRON
iajs-317	24	10	complement	complement	NOUN
iajs-317	24	11	is	be	AUX
iajs-317	24	12	bg	bg	NOUN
iajs-317	24	13	-	-	PUNCT
iajs-317	24	14	closed	closed	ADJ
iajs-317	24	15	.	.	PUNCT
iajs-317	25	1	definition	definition	NOUN
iajs-317	25	2	2.3	2.3	NUM
iajs-317	25	3	:	:	PUNCT
iajs-317	26	1	[	[	X
iajs-317	26	2	2	2	X
iajs-317	26	3	]	]	PUNCT
iajs-317	26	4	a	a	DET
iajs-317	26	5	subset	subset	NOUN
iajs-317	26	6	a	a	PRON
iajs-317	26	7	of	of	ADP
iajs-317	26	8	a	a	DET
iajs-317	26	9	topological	topological	ADJ
iajs-317	26	10	space	space	NOUN
iajs-317	26	11	x	x	PRON
iajs-317	26	12	is	be	AUX
iajs-317	26	13	said	say	VERB
iajs-317	26	14	to	to	PART
iajs-317	26	15	be	be	AUX
iajs-317	26	16	g**-open	g**-open	ADJ
iajs-317	26	17	if	if	SCONJ
iajs-317	26	18	and	and	CCONJ
iajs-317	26	19	only	only	ADV
iajs-317	26	20	if	if	SCONJ
iajs-317	26	21	there	there	PRON
iajs-317	26	22	exists	exist	VERB
iajs-317	26	23	an	an	DET
iajs-317	26	24	open	open	ADJ
iajs-317	26	25	set	set	NOUN
iajs-317	26	26	u	u	NOUN
iajs-317	26	27	of	of	ADP
iajs-317	26	28	x	x	SYM
iajs-317	26	29	such	such	ADJ
iajs-317	26	30	that	that	SCONJ
iajs-317	26	31	u	u	PROPN
iajs-317	26	32			VERB
iajs-317	26	33	a	a	DET
iajs-317	26	34			PROPN
iajs-317	26	35	cl**(u	cl**(u	PROPN
iajs-317	26	36	)	)	PUNCT
iajs-317	26	37	,	,	PUNCT
iajs-317	26	38	and	and	CCONJ
iajs-317	26	39	a	a	PRON
iajs-317	26	40	is	be	AUX
iajs-317	26	41	said	say	VERB
iajs-317	26	42	to	to	PART
iajs-317	26	43	be	be	AUX
iajs-317	26	44	g**closed	g**close	VERB
iajs-317	26	45	if	if	SCONJ
iajs-317	26	46	its	its	PRON
iajs-317	26	47	complement	complement	NOUN
iajs-317	26	48	is	be	AUX
iajs-317	26	49	g**-open	g**-open	ADJ
iajs-317	26	50	set	set	NOUN
iajs-317	26	51	,	,	PUNCT
iajs-317	26	52	where	where	SCONJ
iajs-317	26	53	cl**(u	cl**(u	PROPN
iajs-317	26	54	)	)	PUNCT
iajs-317	26	55	=	=	PUNCT
iajs-317	26	56			X
iajs-317	26	57	{	{	PUNCT
iajs-317	26	58	f	f	NOUN
iajs-317	26	59	:	:	PUNCT
iajs-317	26	60	f	f	PROPN
iajs-317	26	61	is	be	AUX
iajs-317	26	62	g	g	NOUN
iajs-317	26	63	-	-	PUNCT
iajs-317	26	64	closed	closed	ADJ
iajs-317	26	65	and	and	CCONJ
iajs-317	26	66	u	u	NOUN
iajs-317	26	67			PROPN
iajs-317	26	68	f	f	X
iajs-317	26	69	}	}	PUNCT
iajs-317	26	70	.	.	PUNCT
iajs-317	27	1	definition	definition	NOUN
iajs-317	27	2	2.4	2.4	NUM
iajs-317	27	3	:	:	PUNCT
iajs-317	28	1	[	[	X
iajs-317	28	2	7	7	X
iajs-317	28	3	]	]	X
iajs-317	28	4	a	a	DET
iajs-317	28	5	subset	subset	NOUN
iajs-317	28	6	a	a	PRON
iajs-317	28	7	of	of	ADP
iajs-317	28	8	a	a	DET
iajs-317	28	9	topological	topological	ADJ
iajs-317	28	10	space	space	NOUN
iajs-317	28	11	x	x	PRON
iajs-317	28	12	is	be	AUX
iajs-317	28	13	said	say	VERB
iajs-317	28	14	to	to	PART
iajs-317	28	15	be	be	AUX
iajs-317	28	16	bg**-closed	bg**-close	VERB
iajs-317	28	17	if	if	SCONJ
iajs-317	28	18	bcl(a	bcl(a	VERB
iajs-317	28	19	)	)	PUNCT
iajs-317	28	20	⊆	⊆	NUM
iajs-317	28	21	u	u	NOUN
iajs-317	28	22	whenever	whenever	SCONJ
iajs-317	28	23	a	a	DET
iajs-317	28	24	⊆	⊆	NUM
iajs-317	28	25	u	u	NOUN
iajs-317	28	26	and	and	CCONJ
iajs-317	28	27	u	u	NOUN
iajs-317	28	28	is	be	AUX
iajs-317	28	29	g**-open	g**-open	ADJ
iajs-317	28	30	.	.	PUNCT
iajs-317	29	1	the	the	DET
iajs-317	29	2	set	set	NOUN
iajs-317	29	3	of	of	ADP
iajs-317	29	4	all	all	DET
iajs-317	29	5	bg**-closed	bg**-closed	ADJ
iajs-317	29	6	sets	set	NOUN
iajs-317	29	7	of	of	ADP
iajs-317	29	8	x	x	PUNCT
iajs-317	29	9	denoted	denote	VERB
iajs-317	29	10	by	by	ADP
iajs-317	29	11	bg**c(x	bg**c(x	NOUN
iajs-317	29	12	)	)	PUNCT
iajs-317	29	13	.	.	PUNCT
iajs-317	30	1	a	a	DET
iajs-317	30	2	subset	subset	NOUN
iajs-317	30	3	a	a	PRON
iajs-317	30	4	of	of	ADP
iajs-317	30	5	x	x	PRON
iajs-317	30	6	is	be	AUX
iajs-317	30	7	called	call	VERB
iajs-317	30	8	bg**-open	bg**-open	ADJ
iajs-317	30	9	if	if	SCONJ
iajs-317	30	10	x	x	X
iajs-317	30	11	–	–	PUNCT
iajs-317	30	12	a	a	PRON
iajs-317	30	13	is	be	AUX
iajs-317	30	14	bg**-closed	bg**-close	VERB
iajs-317	30	15	in	in	ADP
iajs-317	30	16	x.	x.	NOUN
iajs-317	30	17	example	example	NOUN
iajs-317	30	18	:	:	PUNCT
iajs-317	30	19	if	if	SCONJ
iajs-317	30	20	x=	x=	X
iajs-317	30	21	{	{	PUNCT
iajs-317	30	22	a	a	DET
iajs-317	30	23	,	,	PUNCT
iajs-317	30	24	b	b	NOUN
iajs-317	30	25	,	,	PUNCT
iajs-317	30	26	c	c	NOUN
iajs-317	30	27	}	}	PUNCT
iajs-317	30	28	,	,	PUNCT
iajs-317	30	29			NOUN
iajs-317	30	30	=	=	NOUN
iajs-317	30	31	{	{	PUNCT
iajs-317	30	32			NOUN
iajs-317	30	33	,	,	PUNCT
iajs-317	30	34	x	x	X
iajs-317	30	35	,	,	PUNCT
iajs-317	30	36	{	{	PUNCT
iajs-317	30	37	a	a	X
iajs-317	30	38	}	}	PUNCT
iajs-317	30	39	}	}	PUNCT
iajs-317	30	40	,	,	PUNCT
iajs-317	30	41	then	then	ADV
iajs-317	30	42	the	the	DET
iajs-317	30	43	set	set	NOUN
iajs-317	30	44	of	of	ADP
iajs-317	30	45	all	all	DET
iajs-317	30	46	bg**-closed	bg**-closed	ADJ
iajs-317	30	47	sets	set	NOUN
iajs-317	30	48	of	of	ADP
iajs-317	30	49	x	x	NOUN
iajs-317	30	50	bg**c(x	bg**c(x	X
iajs-317	30	51	)	)	PUNCT
iajs-317	30	52	are	be	AUX
iajs-317	30	53	{	{	PUNCT
iajs-317	30	54			NOUN
iajs-317	30	55	,	,	PUNCT
iajs-317	30	56	x,{b},{c},{b	x,{b},{c},{b	NUM
iajs-317	30	57	,	,	PUNCT
iajs-317	30	58	c	c	NOUN
iajs-317	30	59	}	}	PUNCT
iajs-317	30	60	}	}	PUNCT
iajs-317	30	61	.	.	PUNCT
iajs-317	31	1	definition	definition	NOUN
iajs-317	31	2	2.5	2.5	NUM
iajs-317	31	3	:	:	PUNCT
iajs-317	31	4	a	a	DET
iajs-317	31	5	map	map	NOUN
iajs-317	31	6	f	f	X
iajs-317	31	7	:	:	PUNCT
iajs-317	31	8	x	x	X
iajs-317	31	9			NOUN
iajs-317	31	10	y	y	NOUN
iajs-317	31	11	from	from	ADP
iajs-317	31	12	a	a	DET
iajs-317	31	13	topological	topological	ADJ
iajs-317	31	14	space	space	NOUN
iajs-317	31	15	x	x	PUNCT
iajs-317	31	16	into	into	ADP
iajs-317	31	17	a	a	DET
iajs-317	31	18	topological	topological	ADJ
iajs-317	31	19	space	space	NOUN
iajs-317	31	20	y	y	PROPN
iajs-317	31	21	is	be	AUX
iajs-317	31	22	called	call	VERB
iajs-317	31	23	:	:	PUNCT
iajs-317	31	24	1	1	NUM
iajs-317	31	25	)	)	PUNCT
iajs-317	31	26	a	a	DET
iajs-317	31	27	b	b	NOUN
iajs-317	31	28	-	-	PUNCT
iajs-317	31	29	continuous	continuous	ADJ
iajs-317	31	30	if	if	SCONJ
iajs-317	31	31	f	f	PROPN
iajs-317	31	32	−1(v	−1(v	PROPN
iajs-317	31	33	)	)	PUNCT
iajs-317	31	34	is	be	AUX
iajs-317	31	35	b	b	NOUN
iajs-317	31	36	-	-	PUNCT
iajs-317	31	37	closed	closed	ADJ
iajs-317	31	38	set	set	NOUN
iajs-317	31	39	in	in	ADP
iajs-317	31	40	x	x	PUNCT
iajs-317	31	41	for	for	ADP
iajs-317	31	42	every	every	DET
iajs-317	31	43	closed	close	VERB
iajs-317	31	44	set	set	VERB
iajs-317	31	45	v	v	NOUN
iajs-317	31	46	of	of	ADP
iajs-317	31	47	y.	y.	PROPN
iajs-317	32	1	[	[	X
iajs-317	32	2	3	3	NUM
iajs-317	32	3	]	]	SYM
iajs-317	32	4	2	2	NUM
iajs-317	32	5	)	)	PUNCT
iajs-317	32	6	a	a	DET
iajs-317	32	7	bg	bg	NOUN
iajs-317	32	8	-	-	ADJ
iajs-317	32	9	continuous	continuous	ADJ
iajs-317	32	10	if	if	SCONJ
iajs-317	32	11	f−1(v	f−1(v	PROPN
iajs-317	32	12	)	)	PUNCT
iajs-317	32	13	is	be	AUX
iajs-317	32	14	bg	bg	NOUN
iajs-317	32	15	-	-	PUNCT
iajs-317	32	16	closed	closed	ADJ
iajs-317	32	17	in	in	ADP
iajs-317	32	18	x	x	PUNCT
iajs-317	32	19	for	for	ADP
iajs-317	32	20	every	every	DET
iajs-317	32	21	closed	close	VERB
iajs-317	32	22	set	set	VERB
iajs-317	32	23	v	v	NOUN
iajs-317	32	24	of	of	ADP
iajs-317	32	25	y	y	PROPN
iajs-317	32	26	.	.	PUNCT
iajs-317	33	1	[	[	X
iajs-317	33	2	6	6	NUM
iajs-317	33	3	]	]	PUNCT
iajs-317	33	4	[	[	X
iajs-317	33	5	7]for	7]for	NUM
iajs-317	33	6	every	every	DET
iajs-317	33	7	closed	close	VERB
iajs-317	33	8	set	set	VERB
iajs-317	33	9	v	v	NOUN
iajs-317	33	10	in	in	ADP
iajs-317	33	11	y.	y.	PROPN
iajs-317	33	12	closed	close	VERB
iajs-317	33	13	set	set	VERB
iajs-317	33	14	in	in	ADP
iajs-317	33	15	x-(v	x-(v	NUM
iajs-317	33	16	)	)	PUNCT
iajs-317	33	17	is	be	AUX
iajs-317	33	18	a	a	DET
iajs-317	33	19	bg**1	bg**1	PROPN
iajs-317	33	20	-	-	PUNCT
iajs-317	33	21	if	if	SCONJ
iajs-317	33	22	f	f	PROPN
iajs-317	33	23	continuous	continuous	ADJ
iajs-317	33	24	-	-	PUNCT
iajs-317	33	25	bg**3	bg**3	NOUN
iajs-317	33	26	)	)	PUNCT
iajs-317	33	27	a	a	PRON
iajs-317	34	1	[	[	X
iajs-317	34	2	7].closed	7].close	VERB
iajs-317	34	3	set	set	VERB
iajs-317	34	4	v	v	NOUN
iajs-317	34	5	in	in	ADP
iajs-317	34	6	y	y	PROPN
iajs-317	34	7	-	-	PUNCT
iajs-317	34	8	for	for	ADP
iajs-317	34	9	every	every	DET
iajs-317	34	10	bg	bg	PROPN
iajs-317	34	11	*	*	PROPN
iajs-317	34	12	*	*	PROPN
iajs-317	34	13	closed	closed	ADJ
iajs-317	34	14	set	set	VERB
iajs-317	34	15	in	in	ADP
iajs-317	34	16	x-(v	x-(v	NUM
iajs-317	34	17	)	)	PUNCT
iajs-317	34	18	is	be	AUX
iajs-317	34	19	a	a	DET
iajs-317	34	20	bg**1	bg**1	PROPN
iajs-317	34	21	-	-	PUNCT
iajs-317	34	22	if	if	SCONJ
iajs-317	34	23	f	f	PROPN
iajs-317	34	24	irresolute	irresolute	ADJ
iajs-317	34	25	-	-	PUNCT
iajs-317	34	26	bg**4	bg**4	NOUN
iajs-317	34	27	)	)	PUNCT
iajs-317	34	28	a	a	PRON
iajs-317	34	29	:	:	PUNCT
iajs-317	34	30	remark	remark	NOUN
iajs-317	34	31	2.6	2.6	NUM
iajs-317	34	32	1every	1every	NUM
iajs-317	34	33	open	open	ADJ
iajs-317	34	34	set	set	NOUN
iajs-317	34	35	is	be	AUX
iajs-317	34	36	b	b	NOUN
iajs-317	34	37	-	-	PUNCT
iajs-317	34	38	open	open	ADJ
iajs-317	34	39	(	(	PUNCT
iajs-317	34	40	bg	bg	NOUN
iajs-317	34	41	-	-	ADJ
iajs-317	34	42	open	open	ADJ
iajs-317	34	43	)	)	PUNCT
iajs-317	35	1	[	[	X
iajs-317	35	2	5	5	NUM
iajs-317	35	3	]	]	X
iajs-317	35	4	.	.	PUNCT
iajs-317	36	1	2every	2every	NUM
iajs-317	36	2	bg	bg	ADJ
iajs-317	36	3	-	-	PUNCT
iajs-317	36	4	open	open	ADJ
iajs-317	36	5	set	set	NOUN
iajs-317	36	6	is	be	AUX
iajs-317	36	7	b	b	NOUN
iajs-317	36	8	-	-	PUNCT
iajs-317	36	9	open	open	ADJ
iajs-317	36	10	[	[	X
iajs-317	36	11	6	6	NUM
iajs-317	36	12	]	]	PUNCT
iajs-317	36	13	.	.	PUNCT
iajs-317	37	1	3every	3every	NUM
iajs-317	37	2	bg	bg	NOUN
iajs-317	37	3	-	-	PUNCT
iajs-317	37	4	open	open	ADJ
iajs-317	37	5	set	set	NOUN
iajs-317	37	6	is	be	AUX
iajs-317	37	7	bg**-open	bg**-open	VERB
iajs-317	37	8	[	[	X
iajs-317	37	9	7	7	NUM
iajs-317	37	10	]	]	PUNCT
iajs-317	37	11	.	.	PUNCT
iajs-317	38	1	4every	4every	NUM
iajs-317	38	2	bg**-open	bg**-open	ADJ
iajs-317	38	3	set	set	NOUN
iajs-317	38	4	is	be	AUX
iajs-317	38	5	b	b	NOUN
iajs-317	38	6	-	-	PUNCT
iajs-317	38	7	open	open	ADJ
iajs-317	38	8	[	[	X
iajs-317	38	9	7	7	NUM
iajs-317	38	10	]	]	PUNCT
iajs-317	38	11	.	.	PUNCT
iajs-317	39	1	525	525	NUM
iajs-317	39	2	|	|	NOUN
iajs-317	39	3	mathematics	mathematic	NOUN
iajs-317	39	4	2014	2014	NUM
iajs-317	39	5	)	)	PUNCT
iajs-317	39	6	عام	عام	ADP
iajs-317	39	7	3(العدد	3(العدد	NUM
iajs-317	39	8	27المجلد	27المجلد	NUM
iajs-317	39	9	مجلة	مجلة	VERB
iajs-317	39	10	إبن	إبن	NOUN
iajs-317	39	11	الھيثم	الھيثم	NOUN
iajs-317	39	12	للعلوم	للعلوم	NOUN
iajs-317	39	13	الصرفة	الصرفة	NOUN
iajs-317	40	1	و	و	PRON
iajs-317	40	2	التطبيقية	التطبيقية	ADJ
iajs-317	40	3	ibn	ibn	PROPN
iajs-317	40	4	al	al	PROPN
iajs-317	40	5	-	-	PUNCT
iajs-317	40	6	haitham	haitham	PROPN
iajs-317	40	7	jour	jour	X
iajs-317	40	8	.	.	PROPN
iajs-317	40	9	for	for	ADP
iajs-317	40	10	pure	pure	ADJ
iajs-317	40	11	&	&	CCONJ
iajs-317	40	12	appl	appl	PROPN
iajs-317	40	13	.	.	PUNCT
iajs-317	41	1	sci	sci	PROPN
iajs-317	41	2	.	.	PUNCT
iajs-317	41	3	vol	vol	NOUN
iajs-317	41	4	.	.	PROPN
iajs-317	42	1	27	27	NUM
iajs-317	42	2	(	(	PUNCT
iajs-317	42	3	3	3	NUM
iajs-317	42	4	)	)	PUNCT
iajs-317	42	5	2014	2014	NUM
iajs-317	42	6			NOUN
iajs-317	42	7	3	3	NUM
iajs-317	42	8	.	.	PUNCT
iajs-317	42	9	on	on	ADP
iajs-317	42	10	bg**connected	bg**connecte	VERB
iajs-317	42	11	space	space	NOUN
iajs-317	42	12	in	in	ADP
iajs-317	42	13	this	this	DET
iajs-317	42	14	section	section	NOUN
iajs-317	42	15	we	we	PRON
iajs-317	42	16	introduce	introduce	VERB
iajs-317	42	17	the	the	DET
iajs-317	42	18	concept	concept	NOUN
iajs-317	42	19	of	of	ADP
iajs-317	42	20	bg**-connected	bg**-connecte	VERB
iajs-317	42	21	space	space	NOUN
iajs-317	42	22	,	,	PUNCT
iajs-317	42	23	and	and	CCONJ
iajs-317	42	24	study	study	VERB
iajs-317	42	25	some	some	PRON
iajs-317	42	26	of	of	ADP
iajs-317	42	27	their	their	PRON
iajs-317	42	28	properties	property	NOUN
iajs-317	42	29	.also	.also	PUNCT
iajs-317	42	30	we	we	PRON
iajs-317	42	31	study	study	VERB
iajs-317	42	32	the	the	DET
iajs-317	42	33	relation	relation	NOUN
iajs-317	42	34	between	between	ADP
iajs-317	42	35	it	it	PRON
iajs-317	42	36	and	and	CCONJ
iajs-317	42	37	(	(	PUNCT
iajs-317	42	38	b	b	X
iajs-317	42	39	-	-	PUNCT
iajs-317	42	40	connected	connect	VERB
iajs-317	42	41	and	and	CCONJ
iajs-317	42	42	bg	bg	NOUN
iajs-317	42	43	-	-	PUNCT
iajs-317	42	44	connected	connect	VERB
iajs-317	42	45	space	space	NOUN
iajs-317	42	46	)	)	PUNCT
iajs-317	42	47	.	.	PUNCT
iajs-317	43	1	if	if	SCONJ
iajs-317	43	2	x	x	PRON
iajs-317	43	3	can	can	AUX
iajs-317	43	4	not	not	PART
iajs-317	43	5	be	be	AUX
iajs-317	43	6	connected	connect	VERB
iajs-317	43	7	-b[1	-b[1	ADP
iajs-317	43	8	]	]	X
iajs-317	43	9	a	a	DET
iajs-317	43	10	topological	topological	ADJ
iajs-317	43	11	space	space	NOUN
iajs-317	43	12	x	x	PRON
iajs-317	43	13	is	be	AUX
iajs-317	43	14	said	say	VERB
iajs-317	43	15	to	to	PART
iajs-317	43	16	be	be	AUX
iajs-317	43	17	definition	definition	NOUN
iajs-317	43	18	3.1	3.1	NUM
iajs-317	43	19	:	:	PUNCT
iajs-317	43	20	expressed	express	VERB
iajs-317	43	21	as	as	ADP
iajs-317	43	22	a	a	DET
iajs-317	43	23	disjoint	disjoint	NOUN
iajs-317	43	24	union	union	NOUN
iajs-317	43	25	of	of	ADP
iajs-317	43	26	two	two	NUM
iajs-317	43	27	non	non	ADJ
iajs-317	43	28	-	-	ADJ
iajs-317	43	29	empty	empty	ADJ
iajs-317	43	30	b	b	ADJ
iajs-317	43	31	-	-	PUNCT
iajs-317	43	32	open	open	ADJ
iajs-317	43	33	sets	set	NOUN
iajs-317	43	34	.	.	PUNCT
iajs-317	44	1	a	a	DET
iajs-317	44	2	subset	subset	NOUN
iajs-317	44	3	of	of	ADP
iajs-317	44	4	x	x	PUNCT
iajs-317	44	5	is	be	AUX
iajs-317	44	6	b	b	NOUN
iajs-317	44	7	-	-	PUNCT
iajs-317	44	8	connected	connected	ADJ
iajs-317	44	9	if	if	SCONJ
iajs-317	44	10	it	it	PRON
iajs-317	44	11	is	be	AUX
iajs-317	44	12	b	b	NOUN
iajs-317	44	13	-	-	PUNCT
iajs-317	44	14	connected	connect	VERB
iajs-317	44	15	as	as	ADP
iajs-317	44	16	a	a	DET
iajs-317	44	17	subspace	subspace	NOUN
iajs-317	44	18	.	.	PUNCT
iajs-317	45	1	if	if	SCONJ
iajs-317	45	2	x	x	PRON
iajs-317	45	3	can	can	AUX
iajs-317	45	4	not	not	PART
iajs-317	45	5	be	be	AUX
iajs-317	45	6	connected	connect	VERB
iajs-317	45	7	-	-	PUNCT
iajs-317	45	8	bg[6	bg[6	X
iajs-317	45	9	]	]	X
iajs-317	45	10	a	a	DET
iajs-317	45	11	topological	topological	ADJ
iajs-317	45	12	space	space	NOUN
iajs-317	45	13	x	x	PRON
iajs-317	45	14	is	be	AUX
iajs-317	45	15	said	say	VERB
iajs-317	45	16	to	to	PART
iajs-317	45	17	be	be	AUX
iajs-317	45	18	:	:	PUNCT
iajs-317	45	19	definition	definition	NOUN
iajs-317	45	20	3.2	3.2	NUM
iajs-317	45	21	expressed	express	VERB
iajs-317	45	22	as	as	ADP
iajs-317	45	23	a	a	DET
iajs-317	45	24	disjoint	disjoint	NOUN
iajs-317	45	25	union	union	NOUN
iajs-317	45	26	of	of	ADP
iajs-317	45	27	two	two	NUM
iajs-317	45	28	non	non	ADJ
iajs-317	45	29	-	-	ADJ
iajs-317	45	30	empty	empty	ADJ
iajs-317	45	31	bg	bg	ADJ
iajs-317	45	32	-	-	PUNCT
iajs-317	45	33	open	open	ADJ
iajs-317	45	34	sets	set	NOUN
iajs-317	45	35	.	.	PUNCT
iajs-317	46	1	a	a	DET
iajs-317	46	2	subset	subset	NOUN
iajs-317	46	3	of	of	ADP
iajs-317	46	4	x	x	PUNCT
iajs-317	46	5	is	be	AUX
iajs-317	46	6	bg	bg	NOUN
iajs-317	46	7	-	-	PUNCT
iajs-317	46	8	connected	connect	VERB
iajs-317	46	9	if	if	SCONJ
iajs-317	46	10	it	it	PRON
iajs-317	46	11	is	be	AUX
iajs-317	46	12	bg	bg	NOUN
iajs-317	46	13	-	-	PUNCT
iajs-317	46	14	connected	connect	VERB
iajs-317	46	15	as	as	ADP
iajs-317	46	16	a	a	DET
iajs-317	46	17	subspace	subspace	NOUN
iajs-317	46	18	.	.	PUNCT
iajs-317	47	1	if	if	SCONJ
iajs-317	47	2	x	x	PRON
iajs-317	47	3	can	can	AUX
iajs-317	47	4	not	not	PART
iajs-317	47	5	be	be	AUX
iajs-317	47	6	connected	connect	VERB
iajs-317	47	7	-	-	PUNCT
iajs-317	47	8	bg**a	bg**a	NOUN
iajs-317	47	9	topological	topological	ADJ
iajs-317	47	10	space	space	NOUN
iajs-317	47	11	x	x	PRON
iajs-317	47	12	is	be	AUX
iajs-317	47	13	said	say	VERB
iajs-317	47	14	to	to	PART
iajs-317	47	15	be	be	AUX
iajs-317	47	16	:	:	PUNCT
iajs-317	47	17	definition	definition	NOUN
iajs-317	47	18	3.3	3.3	NUM
iajs-317	47	19	expressed	express	VERB
iajs-317	47	20	as	as	ADP
iajs-317	47	21	a	a	DET
iajs-317	47	22	disjoint	disjoint	NOUN
iajs-317	47	23	union	union	NOUN
iajs-317	47	24	of	of	ADP
iajs-317	47	25	two	two	NUM
iajs-317	47	26	non	non	ADJ
iajs-317	47	27	-	-	ADJ
iajs-317	47	28	empty	empty	ADJ
iajs-317	47	29	bg**-open	bg**-open	ADJ
iajs-317	47	30	sets	set	NOUN
iajs-317	47	31	,	,	PUNCT
iajs-317	47	32	otherwise	otherwise	ADV
iajs-317	47	33	x	x	VERB
iajs-317	47	34	is	be	AUX
iajs-317	47	35	called	call	VERB
iajs-317	47	36	(	(	PUNCT
iajs-317	47	37	bg**-disconnected	bg**-disconnecte	VERB
iajs-317	47	38	space	space	NOUN
iajs-317	47	39	)	)	PUNCT
iajs-317	47	40	.	.	PUNCT
iajs-317	48	1	a	a	DET
iajs-317	48	2	subset	subset	NOUN
iajs-317	48	3	of	of	ADP
iajs-317	48	4	x	x	PUNCT
iajs-317	48	5	is	be	AUX
iajs-317	48	6	bg**-connected	bg**-connecte	VERB
iajs-317	48	7	if	if	SCONJ
iajs-317	48	8	it	it	PRON
iajs-317	48	9	is	be	AUX
iajs-317	48	10	bg**-connected	bg**-connecte	VERB
iajs-317	48	11	as	as	ADP
iajs-317	48	12	a	a	DET
iajs-317	48	13	subspace	subspace	NOUN
iajs-317	48	14	.	.	PUNCT
iajs-317	49	1	connected.-	connected.-	PROPN
iajs-317	49	2	.	.	PUNCT
iajs-317	50	1	then	then	ADV
iajs-317	50	2	x	x	X
iajs-317	50	3	is	be	AUX
iajs-317	50	4	bg**}}a{x	bg**}}a{x	PROPN
iajs-317	50	5	,	,	PUNCT
iajs-317	50	6	φ	φ	NOUN
iajs-317	50	7	,	,	PUNCT
iajs-317	50	8	{	{	PUNCT
iajs-317	50	9	=	=	PUNCT
iajs-317	50	10	and	and	CCONJ
iajs-317	50	11	let	let	VERB
iajs-317	50	12	τ	τ	PROPN
iajs-317	50	13	,	,	PUNCT
iajs-317	50	14	c	c	NOUN
iajs-317	50	15	}	}	PUNCT
iajs-317	50	16	a	a	PRON
iajs-317	50	17	,	,	PUNCT
iajs-317	50	18	b{=	b{=	NOUN
iajs-317	50	19	:	:	PUNCT
iajs-317	50	20	let	let	VERB
iajs-317	50	21	x	x	PRON
iajs-317	50	22	example	example	NOUN
iajs-317	50	23	remark	remark	NOUN
iajs-317	50	24	3.4	3.4	NUM
iajs-317	50	25	:	:	PUNCT
iajs-317	50	26	1every	1every	NUM
iajs-317	50	27	b	b	X
iajs-317	50	28	-	-	PUNCT
iajs-317	50	29	connected	connect	VERB
iajs-317	50	30	space	space	NOUN
iajs-317	50	31	is	be	AUX
iajs-317	50	32	connected	connect	VERB
iajs-317	50	33	.	.	PUNCT
iajs-317	51	1	2every	2every	NUM
iajs-317	51	2	bg	bg	ADJ
iajs-317	51	3	-	-	PUNCT
iajs-317	51	4	connected	connect	VERB
iajs-317	51	5	space	space	NOUN
iajs-317	51	6	is	be	AUX
iajs-317	51	7	connected	connect	VERB
iajs-317	51	8	.	.	PUNCT
iajs-317	52	1	proof	proof	NOUN
iajs-317	52	2	:	:	PUNCT
iajs-317	52	3	by	by	ADP
iajs-317	52	4	remark	remark	NOUN
iajs-317	52	5	2.6	2.6	NUM
iajs-317	52	6	.	.	PUNCT
iajs-317	53	1	m	m	PROPN
iajs-317	53	2	3.5	3.5	NUM
iajs-317	53	3	:	:	PUNCT
iajs-317	53	4	theore	theore	NOUN
iajs-317	53	5	(	(	PUNCT
iajs-317	53	6	i	i	NOUN
iajs-317	53	7	)	)	PUNCT
iajs-317	53	8	every	every	DET
iajs-317	53	9	b	b	X
iajs-317	53	10	-	-	PUNCT
iajs-317	53	11	connected	connect	VERB
iajs-317	53	12	space	space	NOUN
iajs-317	53	13	is	be	AUX
iajs-317	53	14	bg**-connected	bg**-connecte	VERB
iajs-317	53	15	.	.	PUNCT
iajs-317	54	1	(	(	PUNCT
iajs-317	54	2	ii	ii	NOUN
iajs-317	54	3	)	)	PUNCT
iajs-317	54	4	every	every	DET
iajs-317	54	5	bg**-connected	bg**-connecte	VERB
iajs-317	54	6	space	space	NOUN
iajs-317	54	7	is	be	AUX
iajs-317	54	8	bg	bg	NOUN
iajs-317	54	9	-	-	PUNCT
iajs-317	54	10	connected	connect	VERB
iajs-317	54	11	.	.	PUNCT
iajs-317	55	1	proof	proof	NOUN
iajs-317	55	2	:	:	PUNCT
iajs-317	55	3	(	(	PUNCT
iajs-317	55	4	i	i	NOUN
iajs-317	55	5	)	)	PUNCT
iajs-317	55	6	let	let	VERB
iajs-317	55	7	x	x	PRON
iajs-317	55	8	be	be	AUX
iajs-317	55	9	b	b	NOUN
iajs-317	55	10	-	-	PUNCT
iajs-317	55	11	connected	connect	VERB
iajs-317	55	12	space	space	NOUN
iajs-317	55	13	.suppose	.suppose	PUNCT
iajs-317	55	14	that	that	PRON
iajs-317	55	15	x	x	PRON
iajs-317	55	16	is	be	AUX
iajs-317	55	17	not	not	PART
iajs-317	55	18	bg**-connected	bg**-connecte	VERB
iajs-317	55	19	.	.	PUNCT
iajs-317	56	1	then	then	ADV
iajs-317	56	2	there	there	PRON
iajs-317	56	3	exist	exist	VERB
iajs-317	56	4	disjoint	disjoint	ADJ
iajs-317	56	5	non	non	ADJ
iajs-317	56	6	-	-	ADJ
iajs-317	56	7	empty	empty	ADJ
iajs-317	56	8	bg**-open	bg**-open	ADJ
iajs-317	56	9	sets	set	NOUN
iajs-317	56	10	a	a	DET
iajs-317	56	11	and	and	CCONJ
iajs-317	56	12	b	b	NOUN
iajs-317	56	13	such	such	ADJ
iajs-317	56	14	that	that	PRON
iajs-317	56	15	x=	x=	PROPN
iajs-317	57	1	a	a	DET
iajs-317	57	2	b	b	NOUN
iajs-317	57	3	.	.	PUNCT
iajs-317	58	1	by	by	ADP
iajs-317	58	2	remark	remark	NOUN
iajs-317	58	3	2.6(4	2.6(4	NUM
iajs-317	58	4	)	)	PUNCT
iajs-317	58	5	,	,	PUNCT
iajs-317	58	6	a	a	PRON
iajs-317	58	7	and	and	CCONJ
iajs-317	58	8	b	b	NOUN
iajs-317	58	9	are	be	AUX
iajs-317	58	10	b	b	NOUN
iajs-317	58	11	-	-	PUNCT
iajs-317	58	12	open	open	ADJ
iajs-317	58	13	sets	set	NOUN
iajs-317	58	14	.	.	PUNCT
iajs-317	59	1	this	this	PRON
iajs-317	59	2	is	be	AUX
iajs-317	59	3	a	a	DET
iajs-317	59	4	contradiction	contradiction	NOUN
iajs-317	59	5	with	with	ADP
iajs-317	59	6	x	x	X
iajs-317	59	7	is	be	AUX
iajs-317	59	8	b	b	NOUN
iajs-317	59	9	-	-	PUNCT
iajs-317	59	10	connected	connect	VERB
iajs-317	59	11	.therefore	.therefore	NOUN
iajs-317	59	12	x	x	VERB
iajs-317	59	13	is	be	AUX
iajs-317	59	14	bg**connected	bg**connecte	VERB
iajs-317	59	15	.	.	PUNCT
iajs-317	60	1	(	(	PUNCT
iajs-317	60	2	ii	ii	X
iajs-317	60	3	)	)	PUNCT
iajs-317	60	4	its	its	PRON
iajs-317	60	5	clear	clear	ADJ
iajs-317	60	6	from	from	ADP
iajs-317	60	7	remark	remark	NOUN
iajs-317	60	8	2.6(3	2.6(3	NUM
iajs-317	60	9	)	)	PUNCT
iajs-317	60	10	,	,	PUNCT
iajs-317	60	11	and	and	CCONJ
iajs-317	60	12	by	by	ADP
iajs-317	60	13	the	the	DET
iajs-317	60	14	same	same	ADJ
iajs-317	60	15	way	way	NOUN
iajs-317	60	16	of	of	ADP
iajs-317	60	17	proof	proof	NOUN
iajs-317	60	18	(	(	PUNCT
iajs-317	60	19	i	i	NOUN
iajs-317	60	20	)	)	PUNCT
iajs-317	60	21	.	.	PUNCT
iajs-317	61	1	from	from	ADP
iajs-317	61	2	theorems	theorems	PROPN
iajs-317	61	3	3.5	3.5	NUM
iajs-317	61	4	and	and	CCONJ
iajs-317	61	5	remarks	remark	VERB
iajs-317	61	6	3.4	3.4	NUM
iajs-317	61	7	,	,	PUNCT
iajs-317	61	8	we	we	PRON
iajs-317	61	9	have	have	VERB
iajs-317	61	10	diagram	diagram	NOUN
iajs-317	61	11	(	(	PUNCT
iajs-317	61	12	1	1	NUM
iajs-317	61	13	)	)	PUNCT
iajs-317	61	14	.	.	PUNCT
iajs-317	62	1	remark	remark	VERB
iajs-317	62	2	3.6	3.6	NUM
iajs-317	62	3	.	.	PUNCT
iajs-317	63	1	connected	connect	VERB
iajs-317	63	2	space	space	NOUN
iajs-317	63	3	b	b	NOUN
iajs-317	63	4	-	-	PUNCT
iajs-317	63	5	connected	connect	VERB
iajs-317	63	6	space	space	NOUN
iajs-317	63	7	bg	bg	NOUN
iajs-317	63	8	-	-	PUNCT
iajs-317	63	9	connected	connect	VERB
iajs-317	63	10	space	space	NOUN
iajs-317	63	11	bg**-connected	bg**-connecte	VERB
iajs-317	63	12	space	space	NOUN
iajs-317	63	13	diagram	diagram	NOUN
iajs-317	63	14	(	(	PUNCT
iajs-317	63	15	1	1	NUM
iajs-317	63	16	):	):	PUNCT
iajs-317	63	17	the	the	DET
iajs-317	63	18	relationships	relationship	NOUN
iajs-317	63	19	between	between	ADP
iajs-317	63	20	connected	connected	ADJ
iajs-317	63	21	space	space	NOUN
iajs-317	63	22	,	,	PUNCT
iajs-317	63	23	b	b	X
iajs-317	63	24	-	-	PUNCT
iajs-317	63	25	connected	connect	VERB
iajs-317	63	26	space	space	NOUN
iajs-317	63	27	,	,	PUNCT
iajs-317	63	28	bg	bg	NOUN
iajs-317	63	29	-	-	PUNCT
iajs-317	63	30	connected	connect	VERB
iajs-317	63	31	space	space	NOUN
iajs-317	63	32	and	and	CCONJ
iajs-317	63	33	bg**-connected	bg**-connecte	VERB
iajs-317	63	34	space	space	NOUN
iajs-317	63	35	.	.	PUNCT
iajs-317	64	1	for	for	ADP
iajs-317	64	2	a	a	DET
iajs-317	64	3	topological	topological	ADJ
iajs-317	64	4	space	space	NOUN
iajs-317	64	5	x	x	NOUN
iajs-317	64	6	,	,	PUNCT
iajs-317	64	7	the	the	DET
iajs-317	64	8	following	following	ADJ
iajs-317	64	9	statements	statement	NOUN
iajs-317	64	10	are	be	AUX
iajs-317	64	11	equivalent	equivalent	ADJ
iajs-317	64	12	.	.	PUNCT
iajs-317	65	1	theorem	theorem	VERB
iajs-317	65	2	3.7	3.7	NUM
iajs-317	65	3	:	:	PUNCT
iajs-317	65	4	1x	1x	NUM
iajs-317	65	5	is	be	AUX
iajs-317	65	6	bg**-connected	bg**-connecte	VERB
iajs-317	65	7	2the	2the	NUM
iajs-317	65	8	only	only	ADJ
iajs-317	65	9	subsets	subset	NOUN
iajs-317	65	10	of	of	ADP
iajs-317	65	11	x	x	PUNCT
iajs-317	65	12	which	which	PRON
iajs-317	65	13	are	be	AUX
iajs-317	65	14	both	both	CCONJ
iajs-317	65	15	bg**-open	bg**-open	ADJ
iajs-317	65	16	and	and	CCONJ
iajs-317	65	17	bg**-closed	bg**-closed	ADJ
iajs-317	65	18	are	be	AUX
iajs-317	65	19	the	the	DET
iajs-317	65	20	empty	empty	ADJ
iajs-317	65	21	set	set	NOUN
iajs-317	65	22	and	and	CCONJ
iajs-317	65	23	x.	x.	NOUN
iajs-317	66	1	3each	3each	NUM
iajs-317	66	2	bg**-continuous	bg**-continuous	ADJ
iajs-317	66	3	map	map	NOUN
iajs-317	66	4	of	of	ADP
iajs-317	66	5	x	x	PUNCT
iajs-317	66	6	into	into	ADP
iajs-317	66	7	a	a	DET
iajs-317	66	8	discrete	discrete	ADJ
iajs-317	66	9	space	space	NOUN
iajs-317	66	10	y	y	NOUN
iajs-317	66	11	with	with	ADP
iajs-317	66	12	at	at	ADV
iajs-317	66	13	least	least	ADV
iajs-317	66	14	two	two	NUM
iajs-317	66	15	points	point	NOUN
iajs-317	66	16	is	be	AUX
iajs-317	66	17	a	a	DET
iajs-317	66	18	constant	constant	ADJ
iajs-317	66	19	map	map	NOUN
iajs-317	66	20	526	526	NUM
iajs-317	67	1	|	|	NOUN
iajs-317	67	2	mathematics	mathematic	NOUN
iajs-317	67	3	2014	2014	NUM
iajs-317	67	4	)	)	PUNCT
iajs-317	67	5	عام	عام	ADP
iajs-317	67	6	3(العدد	3(العدد	NUM
iajs-317	67	7	27المجلد	27المجلد	NUM
iajs-317	67	8	مجلة	مجلة	VERB
iajs-317	67	9	إبن	إبن	NOUN
iajs-317	67	10	الھيثم	الھيثم	NOUN
iajs-317	67	11	للعلوم	للعلوم	NOUN
iajs-317	67	12	الصرفة	الصرفة	NOUN
iajs-317	68	1	و	و	PRON
iajs-317	68	2	التطبيقية	التطبيقية	ADJ
iajs-317	68	3	ibn	ibn	PROPN
iajs-317	68	4	al	al	PROPN
iajs-317	68	5	-	-	PUNCT
iajs-317	68	6	haitham	haitham	PROPN
iajs-317	68	7	jour	jour	X
iajs-317	68	8	.	.	PROPN
iajs-317	68	9	for	for	ADP
iajs-317	68	10	pure	pure	ADJ
iajs-317	68	11	&	&	CCONJ
iajs-317	68	12	appl	appl	PROPN
iajs-317	68	13	.	.	PUNCT
iajs-317	69	1	sci	sci	PROPN
iajs-317	69	2	.	.	PUNCT
iajs-317	69	3	vol	vol	NOUN
iajs-317	69	4	.	.	PROPN
iajs-317	70	1	27	27	NUM
iajs-317	70	2	(	(	PUNCT
iajs-317	70	3	3	3	NUM
iajs-317	70	4	)	)	PUNCT
iajs-317	70	5	2014	2014	NUM
iajs-317	70	6	proof	proof	NOUN
iajs-317	70	7	:	:	PUNCT
iajs-317	70	8	(	(	PUNCT
iajs-317	70	9	1)	1)	NUM
iajs-317	70	10	(	(	PUNCT
iajs-317	70	11	2	2	NUM
iajs-317	70	12	)	)	PUNCT
iajs-317	70	13	let	let	VERB
iajs-317	70	14	u	u	PRON
iajs-317	70	15	be	be	AUX
iajs-317	70	16	a	a	DET
iajs-317	70	17	bg	bg	PROPN
iajs-317	70	18	*	*	NOUN
iajs-317	70	19	*	*	PUNCT
iajs-317	70	20	-open	-open	PROPN
iajs-317	70	21	and	and	CCONJ
iajs-317	70	22	bg	bg	PROPN
iajs-317	70	23	*	*	PROPN
iajs-317	70	24	*	*	PROPN
iajs-317	70	25	closed	closed	ADJ
iajs-317	70	26	subset	subset	NOUN
iajs-317	70	27	of	of	ADP
iajs-317	70	28	x.	x.	NOUN
iajs-317	70	29	then	then	ADV
iajs-317	70	30	xu	xu	PROPN
iajs-317	70	31	is	be	AUX
iajs-317	70	32	both	both	PRON
iajs-317	70	33	bg	bg	PROPN
iajs-317	70	34	*	*	PROPN
iajs-317	70	35	*	*	PUNCT
iajs-317	70	36	-open	-open	PROPN
iajs-317	70	37	and	and	CCONJ
iajs-317	70	38	bg	bg	PROPN
iajs-317	70	39	*	*	PROPN
iajs-317	70	40	*	*	PUNCT
iajs-317	70	41	-closed	-closed	ADJ
iajs-317	70	42	.	.	PUNCT
iajs-317	71	1	since	since	SCONJ
iajs-317	71	2	x	x	PRON
iajs-317	71	3	is	be	AUX
iajs-317	71	4	the	the	DET
iajs-317	71	5	disjoint	disjoint	PROPN
iajs-317	71	6	union	union	NOUN
iajs-317	71	7	of	of	ADP
iajs-317	71	8	bg	bg	PROPN
iajs-317	71	9	*	*	PROPN
iajs-317	71	10	*	*	PROPN
iajs-317	71	11	open	open	ADJ
iajs-317	71	12	sets	set	VERB
iajs-317	71	13	u	u	NOUN
iajs-317	71	14	and	and	CCONJ
iajs-317	71	15	x	x	NOUN
iajs-317	71	16	-	-	PUNCT
iajs-317	71	17	u	u	NOUN
iajs-317	71	18	,	,	PUNCT
iajs-317	71	19	then	then	ADV
iajs-317	71	20	one	one	NUM
iajs-317	71	21	of	of	ADP
iajs-317	71	22	these	these	PRON
iajs-317	71	23	must	must	AUX
iajs-317	71	24	be	be	AUX
iajs-317	71	25	empty	empty	ADJ
iajs-317	71	26	,	,	PUNCT
iajs-317	71	27	that	that	PRON
iajs-317	71	28	is	be	AUX
iajs-317	71	29	u	u	NOUN
iajs-317	71	30	=	=	NOUN
iajs-317	71	31			NOUN
iajs-317	71	32	or	or	CCONJ
iajs-317	71	33	x	x	SYM
iajs-317	71	34	–	–	PUNCT
iajs-317	71	35	u	u	NOUN
iajs-317	71	36	=	=	SYM
iajs-317	71	37	.	.	X
iajs-317	71	38	(	(	PUNCT
iajs-317	71	39	2)	2)	NUM
iajs-317	71	40	(	(	PUNCT
iajs-317	71	41	1	1	NUM
iajs-317	71	42	)	)	PUNCT
iajs-317	71	43	suppose	suppose	VERB
iajs-317	71	44	that	that	SCONJ
iajs-317	71	45	x	x	PROPN
iajs-317	71	46	=	=	X
iajs-317	71	47	a	a	PROPN
iajs-317	71	48	b	b	NOUN
iajs-317	71	49	where	where	SCONJ
iajs-317	71	50	a	a	PRON
iajs-317	71	51	and	and	CCONJ
iajs-317	71	52	b	b	NOUN
iajs-317	71	53	are	be	AUX
iajs-317	71	54	disjoint	disjoint	X
iajs-317	71	55	non	non	ADJ
iajs-317	71	56	empty	empty	ADJ
iajs-317	71	57	bg	bg	PROPN
iajs-317	71	58	*	*	PROPN
iajs-317	71	59	*	*	ADJ
iajs-317	71	60	open	open	ADJ
iajs-317	71	61	sets	set	NOUN
iajs-317	71	62	of	of	ADP
iajs-317	71	63	x	x	NOUN
iajs-317	71	64	,	,	PUNCT
iajs-317	71	65	then	then	ADV
iajs-317	71	66	a	a	PRON
iajs-317	71	67	is	be	AUX
iajs-317	71	68	both	both	CCONJ
iajs-317	71	69	bg**-open	bg**-open	ADJ
iajs-317	71	70	and	and	CCONJ
iajs-317	71	71	bg**-closed	bg**-closed	ADJ
iajs-317	71	72	subset	subset	NOUN
iajs-317	71	73	of	of	ADP
iajs-317	71	74	x.	x.	NOUN
iajs-317	71	75	by	by	ADP
iajs-317	71	76	assumption	assumption	NOUN
iajs-317	71	77	,	,	PUNCT
iajs-317	71	78	a=	a=	NOUN
iajs-317	71	79	or	or	CCONJ
iajs-317	71	80	a	a	DET
iajs-317	71	81	=	=	NOUN
iajs-317	71	82	x.	x.	NOUN
iajs-317	71	83	this	this	PRON
iajs-317	71	84	implies	imply	VERB
iajs-317	71	85	x	x	PUNCT
iajs-317	71	86	is	be	AUX
iajs-317	71	87	bg**-connected	bg**-connecte	VERB
iajs-317	71	88	.	.	PUNCT
iajs-317	72	1	(	(	PUNCT
iajs-317	72	2	2)(3)let	2)(3)let	NUM
iajs-317	72	3	f	f	X
iajs-317	72	4	:x	:x	PUNCT
iajs-317	72	5			NOUN
iajs-317	73	1	y	y	NOUN
iajs-317	73	2	be	be	AUX
iajs-317	73	3	a	a	DET
iajs-317	73	4	bg**-continuous	bg**-continuous	ADJ
iajs-317	73	5	map	map	NOUN
iajs-317	73	6	,	,	PUNCT
iajs-317	73	7	then	then	ADV
iajs-317	73	8	x	x	PUNCT
iajs-317	73	9	is	be	AUX
iajs-317	73	10	covered	cover	VERB
iajs-317	73	11	by	by	ADP
iajs-317	73	12	bg**-open	bg**-open	ADJ
iajs-317	73	13	and	and	CCONJ
iajs-317	73	14	bg	bg	NOUN
iajs-317	73	15	*	*	PROPN
iajs-317	73	16	*	*	PROPN
iajs-317	73	17	–	–	PUNCT
iajs-317	73	18	closed	closed	ADJ
iajs-317	73	19	covering	covering	NOUN
iajs-317	73	20	{	{	PUNCT
iajs-317	73	21	f-1(y):yy	f-1(y):yy	NOUN
iajs-317	73	22	}	}	PUNCT
iajs-317	73	23	.	.	PUNCT
iajs-317	74	1	by	by	ADP
iajs-317	74	2	assumption	assumption	NOUN
iajs-317	74	3	f-1(y	f-1(y	NOUN
iajs-317	74	4	)	)	PUNCT
iajs-317	74	5	=	=	NOUN
iajs-317	74	6			NOUN
iajs-317	74	7	then	then	ADV
iajs-317	74	8	f	f	PROPN
iajs-317	74	9	fails	fail	VERB
iajs-317	74	10	to	to	PART
iajs-317	74	11	be	be	AUX
iajs-317	74	12	bg**-continuous	bg**-continuous	ADJ
iajs-317	74	13	.	.	PUNCT
iajs-317	75	1	therefore	therefore	ADV
iajs-317	75	2	f-1(y	f-1(y	NOUN
iajs-317	75	3	)	)	PUNCT
iajs-317	76	1	=	=	SYM
iajs-317	77	1	x	x	X
iajs-317	77	2	.	.	PUNCT
iajs-317	78	1	this	this	PRON
iajs-317	78	2	implies	imply	VERB
iajs-317	78	3	f	f	PROPN
iajs-317	78	4	is	be	AUX
iajs-317	78	5	a	a	DET
iajs-317	78	6	constant	constant	ADJ
iajs-317	78	7	map	map	NOUN
iajs-317	78	8	.	.	PUNCT
iajs-317	79	1	(	(	PUNCT
iajs-317	79	2	3)	3)	NUM
iajs-317	79	3	(	(	PUNCT
iajs-317	79	4	2	2	NUM
iajs-317	79	5	)	)	PUNCT
iajs-317	79	6	let	let	VERB
iajs-317	79	7	u	u	PRON
iajs-317	79	8	be	be	AUX
iajs-317	79	9	both	both	CCONJ
iajs-317	79	10	bg**-open	bg**-open	ADJ
iajs-317	79	11	and	and	CCONJ
iajs-317	79	12	bg**-closed	bg**-close	VERB
iajs-317	79	13	in	in	ADP
iajs-317	79	14	x.	x.	NOUN
iajs-317	79	15	suppose	suppose	VERB
iajs-317	79	16	u	u	PRON
iajs-317	79	17			NOUN
iajs-317	79	18			NOUN
iajs-317	79	19	.let	.let	PUNCT
iajs-317	80	1	f	f	X
iajs-317	80	2	:	:	PUNCT
iajs-317	80	3	x	x	X
iajs-317	80	4			NOUN
iajs-317	80	5	y	y	PRON
iajs-317	80	6	be	be	AUX
iajs-317	80	7	bg**-continuous	bg**-continuous	ADJ
iajs-317	80	8	map	map	NOUN
iajs-317	80	9	defined	define	VERB
iajs-317	80	10	by	by	ADP
iajs-317	80	11	f(u	f(u	PROPN
iajs-317	80	12	)	)	PUNCT
iajs-317	80	13	=	=	PRON
iajs-317	81	1	{	{	PUNCT
iajs-317	81	2	y	y	NOUN
iajs-317	81	3	}	}	PUNCT
iajs-317	81	4	and	and	CCONJ
iajs-317	81	5	f(x	f(x	PROPN
iajs-317	81	6	-	-	PUNCT
iajs-317	81	7	u	u	NOUN
iajs-317	81	8	)	)	PUNCT
iajs-317	81	9	=	=	SYM
iajs-317	81	10	{	{	PUNCT
iajs-317	81	11	w	w	NOUN
iajs-317	81	12	}	}	PUNCT
iajs-317	81	13	for	for	ADP
iajs-317	81	14	some	some	DET
iajs-317	81	15	distinct	distinct	ADJ
iajs-317	81	16	points	point	NOUN
iajs-317	81	17	y	y	PROPN
iajs-317	81	18	and	and	CCONJ
iajs-317	81	19	w	w	NOUN
iajs-317	81	20	in	in	ADP
iajs-317	81	21	y.	y.	NOUN
iajs-317	81	22	by	by	ADP
iajs-317	81	23	assumption	assumption	NOUN
iajs-317	81	24	,	,	PUNCT
iajs-317	81	25	f	f	PROPN
iajs-317	81	26	is	be	AUX
iajs-317	81	27	a	a	DET
iajs-317	81	28	constant	constant	ADJ
iajs-317	81	29	map	map	NOUN
iajs-317	81	30	.	.	PUNCT
iajs-317	82	1	therefore	therefore	ADV
iajs-317	82	2	we	we	PRON
iajs-317	82	3	have	have	VERB
iajs-317	82	4	u	u	NOUN
iajs-317	82	5	=	=	NOUN
iajs-317	82	6	x	x	SYM
iajs-317	82	7	theorem	theorem	VERB
iajs-317	82	8	3.8	3.8	NUM
iajs-317	82	9	:	:	PUNCT
iajs-317	82	10	(	(	PUNCT
iajs-317	82	11	i)if	i)if	PROPN
iajs-317	82	12	f	f	PROPN
iajs-317	82	13	:	:	PUNCT
iajs-317	82	14	xy	xy	X
iajs-317	82	15	is	be	AUX
iajs-317	82	16	a	a	DET
iajs-317	82	17	bg**-continuous	bg**-continuous	ADJ
iajs-317	82	18	surjection	surjection	NOUN
iajs-317	82	19	map	map	NOUN
iajs-317	82	20	and	and	CCONJ
iajs-317	82	21	x	x	X
iajs-317	82	22	is	be	AUX
iajs-317	82	23	bg**-connected	bg**-connecte	VERB
iajs-317	82	24	,	,	PUNCT
iajs-317	82	25	then	then	ADV
iajs-317	82	26	y	y	PROPN
iajs-317	82	27	is	be	AUX
iajs-317	82	28	connected	connect	VERB
iajs-317	82	29	.	.	PUNCT
iajs-317	83	1	(	(	PUNCT
iajs-317	83	2	ii)if	ii)if	PROPN
iajs-317	83	3	f	f	X
iajs-317	83	4	:	:	PUNCT
iajs-317	83	5	x	x	NUM
iajs-317	83	6	y	y	PROPN
iajs-317	83	7	is	be	AUX
iajs-317	83	8	a	a	DET
iajs-317	83	9	bg**-irresolute	bg**-irresolute	NOUN
iajs-317	83	10	surjection	surjection	NOUN
iajs-317	83	11	map	map	NOUN
iajs-317	83	12	and	and	CCONJ
iajs-317	83	13	x	x	X
iajs-317	83	14	is	be	AUX
iajs-317	83	15	bg**-connected	bg**-connecte	VERB
iajs-317	83	16	,	,	PUNCT
iajs-317	83	17	then	then	ADV
iajs-317	83	18	y	y	PROPN
iajs-317	83	19	is	be	AUX
iajs-317	83	20	bg**–connected	bg**–connecte	VERB
iajs-317	83	21	.	.	PUNCT
iajs-317	83	22	proof:(i	proof:(i	NOUN
iajs-317	83	23	)	)	PUNCT
iajs-317	83	24	suppose	suppose	VERB
iajs-317	83	25	that	that	SCONJ
iajs-317	83	26	y	y	PROPN
iajs-317	83	27	is	be	AUX
iajs-317	83	28	not	not	PART
iajs-317	83	29	connected	connect	VERB
iajs-317	83	30	,	,	PUNCT
iajs-317	83	31	then	then	ADV
iajs-317	83	32	y=	y=	PRON
iajs-317	83	33	a	a	PROPN
iajs-317	83	34	b	b	PROPN
iajs-317	83	35	where	where	SCONJ
iajs-317	83	36	a	a	PRON
iajs-317	83	37	and	and	CCONJ
iajs-317	83	38	b	b	NOUN
iajs-317	83	39	are	be	AUX
iajs-317	83	40	disjoint	disjoint	X
iajs-317	83	41	nonempty	nonempty	X
iajs-317	83	42	open	open	ADJ
iajs-317	83	43	sets	set	NOUN
iajs-317	83	44	in	in	ADP
iajs-317	83	45	y.	y.	PROPN
iajs-317	83	46	since	since	SCONJ
iajs-317	83	47	f	f	PROPN
iajs-317	83	48	is	be	AUX
iajs-317	83	49	bg**-continuous	bg**-continuous	ADJ
iajs-317	83	50	and	and	CCONJ
iajs-317	83	51	onto	onto	ADP
iajs-317	83	52	,	,	PUNCT
iajs-317	83	53	x	x	PUNCT
iajs-317	83	54	=	=	PUNCT
iajs-317	83	55	f	f	PROPN
iajs-317	83	56	-1(a)f	-1(a)f	PROPN
iajs-317	83	57	-1(b	-1(b	PROPN
iajs-317	83	58	)	)	PUNCT
iajs-317	83	59	where	where	SCONJ
iajs-317	83	60	f	f	PROPN
iajs-317	83	61	-1(a	-1(a	PROPN
iajs-317	83	62	)	)	PUNCT
iajs-317	83	63	and	and	CCONJ
iajs-317	83	64	f	f	PROPN
iajs-317	83	65	-1(b	-1(b	PROPN
iajs-317	83	66	)	)	PUNCT
iajs-317	83	67	are	be	AUX
iajs-317	83	68	disjoint	disjoint	X
iajs-317	83	69	non	non	ADJ
iajs-317	83	70	empty	empty	ADJ
iajs-317	83	71	bg**-open	bg**-open	ADJ
iajs-317	83	72	sets	set	NOUN
iajs-317	83	73	which	which	PRON
iajs-317	83	74	is	be	AUX
iajs-317	83	75	a	a	DET
iajs-317	83	76	contradiction	contradiction	NOUN
iajs-317	83	77	to	to	ADP
iajs-317	83	78	our	our	PRON
iajs-317	83	79	assumption	assumption	NOUN
iajs-317	83	80	that	that	SCONJ
iajs-317	83	81	x	x	PRON
iajs-317	83	82	is	be	AUX
iajs-317	83	83	bg**-connected	bg**-connecte	VERB
iajs-317	83	84	.	.	PUNCT
iajs-317	84	1	hence	hence	ADV
iajs-317	84	2	y	y	PROPN
iajs-317	84	3	is	be	AUX
iajs-317	84	4	connected	connect	VERB
iajs-317	84	5	.	.	PUNCT
iajs-317	85	1	(	(	PUNCT
iajs-317	85	2	ii	ii	X
iajs-317	85	3	)	)	PUNCT
iajs-317	85	4	it	it	PRON
iajs-317	85	5	follows	follow	VERB
iajs-317	85	6	from	from	ADP
iajs-317	85	7	the	the	DET
iajs-317	85	8	definition	definition	NOUN
iajs-317	85	9	of	of	ADP
iajs-317	85	10	bg**-irresolute	bg**-irresolute	NOUN
iajs-317	85	11	map	map	NOUN
iajs-317	85	12	.	.	PUNCT
iajs-317	86	1	4	4	X
iajs-317	86	2	.	.	X
iajs-317	86	3	on	on	ADP
iajs-317	86	4	some	some	DET
iajs-317	86	5	types	type	NOUN
iajs-317	86	6	of	of	ADP
iajs-317	86	7	continuous	continuous	ADJ
iajs-317	86	8	functions	function	NOUN
iajs-317	86	9	&	&	CCONJ
iajs-317	86	10	bg**-connected	bg**-connecte	VERB
iajs-317	86	11	space	space	NOUN
iajs-317	86	12	in	in	ADP
iajs-317	86	13	this	this	DET
iajs-317	86	14	section	section	NOUN
iajs-317	86	15	we	we	PRON
iajs-317	86	16	study	study	VERB
iajs-317	86	17	some	some	DET
iajs-317	86	18	types	type	NOUN
iajs-317	86	19	of	of	ADP
iajs-317	86	20	continuous	continuous	ADJ
iajs-317	86	21	functions	function	NOUN
iajs-317	86	22	,	,	PUNCT
iajs-317	86	23	and	and	CCONJ
iajs-317	86	24	study	study	VERB
iajs-317	86	25	the	the	DET
iajs-317	86	26	relations	relation	NOUN
iajs-317	86	27	between	between	ADP
iajs-317	86	28	(	(	PUNCT
iajs-317	86	29	connected	connected	ADJ
iajs-317	86	30	space	space	NOUN
iajs-317	86	31	,	,	PUNCT
iajs-317	86	32	b	b	X
iajs-317	86	33	-	-	PUNCT
iajs-317	86	34	connected	connect	VERB
iajs-317	86	35	space	space	NOUN
iajs-317	86	36	,	,	PUNCT
iajs-317	86	37	bg	bg	NOUN
iajs-317	86	38	-	-	PUNCT
iajs-317	86	39	connected	connect	VERB
iajs-317	86	40	space	space	NOUN
iajs-317	86	41	and	and	CCONJ
iajs-317	86	42	bg**-connected	bg**-connecte	VERB
iajs-317	86	43	space	space	NOUN
iajs-317	86	44	)	)	PUNCT
iajs-317	86	45	under	under	ADP
iajs-317	86	46	these	these	DET
iajs-317	86	47	types	type	NOUN
iajs-317	86	48	of	of	ADP
iajs-317	86	49	continuous	continuous	ADJ
iajs-317	86	50	functions	function	NOUN
iajs-317	86	51	.	.	PUNCT
iajs-317	87	1	[	[	X
iajs-317	87	2	8	8	NUM
iajs-317	87	3	]	]	X
iajs-317	87	4	continuous	continuous	ADJ
iajs-317	87	5	image	image	NOUN
iajs-317	87	6	of	of	ADP
iajs-317	87	7	connected	connected	ADJ
iajs-317	87	8	space	space	NOUN
iajs-317	87	9	is	be	AUX
iajs-317	87	10	connected	connect	VERB
iajs-317	87	11	.	.	PUNCT
iajs-317	88	1	theorem	theorem	VERB
iajs-317	88	2	4.1	4.1	NUM
iajs-317	88	3	:	:	PUNCT
iajs-317	88	4	:	:	PUNCT
iajs-317	88	5	theorem	theorem	VERB
iajs-317	88	6	4.2	4.2	NUM
iajs-317	88	7	(	(	PUNCT
iajs-317	88	8	i	i	NOUN
iajs-317	88	9	)	)	PUNCT
iajs-317	88	10	continuous	continuous	ADJ
iajs-317	88	11	image	image	NOUN
iajs-317	88	12	of	of	ADP
iajs-317	88	13	b	b	NOUN
iajs-317	88	14	-	-	PUNCT
iajs-317	88	15	connected	connect	VERB
iajs-317	88	16	space	space	NOUN
iajs-317	88	17	is	be	AUX
iajs-317	88	18	connected	connect	VERB
iajs-317	88	19	.	.	PUNCT
iajs-317	89	1	(	(	PUNCT
iajs-317	89	2	ii	ii	NOUN
iajs-317	89	3	)	)	PUNCT
iajs-317	89	4	continuous	continuous	ADJ
iajs-317	89	5	image	image	NOUN
iajs-317	89	6	of	of	ADP
iajs-317	89	7	bg	bg	PROPN
iajs-317	89	8	-	-	PUNCT
iajs-317	89	9	connected	connect	VERB
iajs-317	89	10	space	space	NOUN
iajs-317	89	11	is	be	AUX
iajs-317	89	12	connected	connect	VERB
iajs-317	89	13	.	.	PUNCT
iajs-317	90	1	connected	connected	ADJ
iajs-317	90	2	space	space	NOUN
iajs-317	90	3	.	.	PUNCT
iajs-317	91	1	to	to	PART
iajs-317	91	2	prove	prove	VERB
iajs-317	91	3	y	y	PRON
iajs-317	91	4	-y	-y	PUNCT
iajs-317	91	5	be	be	AUX
iajs-317	91	6	continuous	continuous	ADJ
iajs-317	91	7	function	function	NOUN
iajs-317	91	8	,	,	PUNCT
iajs-317	91	9	and	and	CCONJ
iajs-317	91	10	let	let	VERB
iajs-317	91	11	x	x	PRON
iajs-317	91	12	be	be	AUX
iajs-317	91	13	b	b	NOUN
iajs-317	91	14	f	f	PUNCT
iajs-317	91	15	:	:	PUNCT
iajs-317	91	16	x(i	x(i	X
iajs-317	91	17	)	)	PUNCT
iajs-317	91	18	let	let	VERB
iajs-317	91	19	proof	proof	NOUN
iajs-317	91	20	:	:	PUNCT
iajs-317	91	21	is	be	AUX
iajs-317	91	22	connected.suppose	connected.suppose	NUM
iajs-317	91	23	that	that	SCONJ
iajs-317	91	24	y	y	PROPN
iajs-317	91	25	is	be	AUX
iajs-317	91	26	disconnected	disconnected	ADJ
iajs-317	91	27	space	space	NOUN
iajs-317	91	28	,	,	PUNCT
iajs-317	91	29	then	then	ADV
iajs-317	91	30	y=	y=	NUM
iajs-317	91	31	ab	ab	PROPN
iajs-317	91	32	,	,	PUNCT
iajs-317	91	33	where	where	SCONJ
iajs-317	91	34	a	a	PRON
iajs-317	91	35	and	and	CCONJ
iajs-317	91	36	b	b	NOUN
iajs-317	91	37	are	be	AUX
iajs-317	91	38	disjoint	disjoint	ADJ
iajs-317	91	39	empty	empty	ADJ
iajs-317	91	40	open	open	ADJ
iajs-317	91	41	-(b	-(b	PUNCT
iajs-317	91	42	)	)	PUNCT
iajs-317	91	43	are	be	AUX
iajs-317	91	44	disjoint	disjoint	PROPN
iajs-317	91	45	non1-(a	non1-(a	PROPN
iajs-317	91	46	)	)	PUNCT
iajs-317	91	47	and	and	CCONJ
iajs-317	91	48	f	f	PROPN
iajs-317	91	49	1	1	NUM
iajs-317	91	50	-	-	PUNCT
iajs-317	91	51	empty	empty	ADJ
iajs-317	91	52	open	open	ADJ
iajs-317	91	53	sets	set	NOUN
iajs-317	91	54	in	in	ADP
iajs-317	91	55	y.since	y.since	NOUN
iajs-317	91	56	f	f	PROPN
iajs-317	91	57	is	be	AUX
iajs-317	91	58	continuous	continuous	ADJ
iajs-317	91	59	f	f	NOUN
iajs-317	91	60	-non	-non	X
iajs-317	91	61	(	(	PUNCT
iajs-317	91	62	b	b	NOUN
iajs-317	91	63	)	)	PUNCT
iajs-317	91	64	(	(	PUNCT
iajs-317	91	65	by	by	ADP
iajs-317	91	66	remark	remark	NOUN
iajs-317	91	67	1	1	NUM
iajs-317	91	68	-	-	PUNCT
iajs-317	91	69	f	f	NOUN
iajs-317	91	70	(a)1	(a)1	ADV
iajs-317	91	71	-	-	PUNCT
iajs-317	91	72	open	open	ADJ
iajs-317	91	73	sets	set	NOUN
iajs-317	91	74	in	in	ADP
iajs-317	91	75	x	x	SYM
iajs-317	91	76	such	such	ADJ
iajs-317	91	77	that	that	SCONJ
iajs-317	91	78	x	x	X
iajs-317	91	79	=	=	SYM
iajs-317	91	80	f	f	PROPN
iajs-317	91	81	-(b	-(b	PUNCT
iajs-317	91	82	)	)	PUNCT
iajs-317	91	83	are	be	AUX
iajs-317	91	84	b1-(a	b1-(a	ADJ
iajs-317	91	85	)	)	PUNCT
iajs-317	91	86	and	and	CCONJ
iajs-317	91	87	f	f	PROPN
iajs-317	91	88	1	1	NUM
iajs-317	91	89	-	-	PUNCT
iajs-317	91	90	sets	set	NOUN
iajs-317	91	91	in	in	ADP
iajs-317	91	92	x	x	PUNCT
iajs-317	91	93	,	,	PUNCT
iajs-317	91	94	and	and	CCONJ
iajs-317	91	95	f	f	PROPN
iajs-317	91	96	2.6(1	2.6(1	NUM
iajs-317	91	97	)	)	PUNCT
iajs-317	91	98	)	)	PUNCT
iajs-317	91	99	.	.	PUNCT
iajs-317	92	1	this	this	PRON
iajs-317	92	2	contradicts	contradict	VERB
iajs-317	92	3	the	the	DET
iajs-317	92	4	fact	fact	NOUN
iajs-317	92	5	that	that	SCONJ
iajs-317	92	6	x	x	PRON
iajs-317	92	7	is	be	AUX
iajs-317	92	8	b	b	NOUN
iajs-317	92	9	-	-	PUNCT
iajs-317	92	10	connected	connect	VERB
iajs-317	92	11	.	.	PUNCT
iajs-317	93	1	hence	hence	ADV
iajs-317	93	2	y	y	PROPN
iajs-317	93	3	is	be	AUX
iajs-317	93	4	connected	connect	VERB
iajs-317	93	5	.	.	PUNCT
iajs-317	94	1	(	(	PUNCT
iajs-317	94	2	ii	ii	X
iajs-317	94	3	)	)	PUNCT
iajs-317	94	4	its	its	PRON
iajs-317	94	5	clear	clear	ADJ
iajs-317	94	6	from	from	ADP
iajs-317	94	7	remark	remark	NOUN
iajs-317	94	8	2.6(1	2.6(1	NUM
iajs-317	94	9	)	)	PUNCT
iajs-317	94	10	,	,	PUNCT
iajs-317	94	11	and	and	CCONJ
iajs-317	94	12	by	by	ADP
iajs-317	94	13	the	the	DET
iajs-317	94	14	same	same	ADJ
iajs-317	94	15	way	way	NOUN
iajs-317	94	16	of	of	ADP
iajs-317	94	17	proof	proof	NOUN
iajs-317	94	18	(	(	PUNCT
iajs-317	94	19	i	i	NOUN
iajs-317	94	20	)	)	PUNCT
iajs-317	94	21	.	.	PUNCT
iajs-317	95	1	527	527	NUM
iajs-317	95	2	|	|	NOUN
iajs-317	95	3	mathematics	mathematic	NOUN
iajs-317	95	4	2014	2014	NUM
iajs-317	95	5	)	)	PUNCT
iajs-317	95	6	عام	عام	ADP
iajs-317	95	7	3(العدد	3(العدد	NUM
iajs-317	95	8	27المجلد	27المجلد	NUM
iajs-317	95	9	مجلة	مجلة	VERB
iajs-317	95	10	إبن	إبن	NOUN
iajs-317	95	11	الھيثم	الھيثم	NOUN
iajs-317	95	12	للعلوم	للعلوم	NOUN
iajs-317	95	13	الصرفة	الصرفة	NOUN
iajs-317	96	1	و	و	PRON
iajs-317	96	2	التطبيقية	التطبيقية	ADJ
iajs-317	96	3	ibn	ibn	PROPN
iajs-317	96	4	al	al	PROPN
iajs-317	96	5	-	-	PUNCT
iajs-317	96	6	haitham	haitham	PROPN
iajs-317	96	7	jour	jour	X
iajs-317	96	8	.	.	PROPN
iajs-317	96	9	for	for	ADP
iajs-317	96	10	pure	pure	ADJ
iajs-317	96	11	&	&	CCONJ
iajs-317	96	12	appl	appl	PROPN
iajs-317	96	13	.	.	PUNCT
iajs-317	97	1	sci	sci	PROPN
iajs-317	97	2	.	.	PUNCT
iajs-317	97	3	vol	vol	NOUN
iajs-317	97	4	.	.	PROPN
iajs-317	98	1	27	27	NUM
iajs-317	98	2	(	(	PUNCT
iajs-317	98	3	3	3	NUM
iajs-317	98	4	)	)	PUNCT
iajs-317	98	5	2014	2014	NUM
iajs-317	98	6	connected	connected	ADJ
iajs-317	98	7	space	space	NOUN
iajs-317	98	8	,	,	PUNCT
iajs-317	98	9	diagram	diagram	NOUN
iajs-317	98	10	(	(	PUNCT
iajs-317	98	11	2	2	X
iajs-317	98	12	)	)	PUNCT
iajs-317	98	13	shows	show	VERB
iajs-317	98	14	the	the	DET
iajs-317	98	15	relationships	relationship	NOUN
iajs-317	98	16	between	between	ADP
iajs-317	98	17	(	(	PUNCT
iajs-317	98	18	remark	remark	NOUN
iajs-317	98	19	4.3	4.3	NUM
iajs-317	98	20	:	:	PUNCT
iajs-317	98	21	b	b	X
iajs-317	98	22	-	-	PUNCT
iajs-317	98	23	connected	connect	VERB
iajs-317	98	24	space	space	NOUN
iajs-317	98	25	,	,	PUNCT
iajs-317	98	26	bg	bg	NOUN
iajs-317	98	27	-	-	PUNCT
iajs-317	98	28	connected	connect	VERB
iajs-317	98	29	space	space	NOUN
iajs-317	98	30	and	and	CCONJ
iajs-317	98	31	bg**-connected	bg**-connecte	VERB
iajs-317	98	32	space	space	NOUN
iajs-317	98	33	)	)	PUNCT
iajs-317	98	34	under	under	ADP
iajs-317	98	35	the	the	DET
iajs-317	98	36	continuous	continuous	ADJ
iajs-317	98	37	function	function	NOUN
iajs-317	98	38	.	.	PUNCT
iajs-317	99	1	continuous	continuous	ADJ
iajs-317	99	2	f	f	X
iajs-317	99	3	:	:	PUNCT
iajs-317	99	4	x	x	SYM
iajs-317	99	5	y	y	PROPN
iajs-317	99	6	connected	connect	VERB
iajs-317	99	7			NOUN
iajs-317	99	8	connected	connect	VERB
iajs-317	99	9	bconnected	bconnected	ADJ
iajs-317	99	10			NOUN
iajs-317	99	11	connected	connect	VERB
iajs-317	99	12	bgconnected	bgconnecte	VERB
iajs-317	99	13			NOUN
iajs-317	99	14	connected	connect	VERB
iajs-317	99	15	connected	connected	ADJ
iajs-317	99	16			NOUN
iajs-317	99	17	bconnected	bconnecte	VERB
iajs-317	99	18	connected	connect	VERB
iajs-317	99	19			PROPN
iajs-317	99	20	bgconnected	bgconnecte	VERB
iajs-317	99	21	connected	connect	VERB
iajs-317	99	22	bg**connected	bg**connecte	VERB
iajs-317	99	23	diagram	diagram	NOUN
iajs-317	99	24	(	(	PUNCT
iajs-317	99	25	2):the	2):the	DET
iajs-317	99	26	relationships	relationship	NOUN
iajs-317	99	27	between	between	ADP
iajs-317	99	28	(	(	PUNCT
iajs-317	99	29	connected	connected	ADJ
iajs-317	99	30	space	space	NOUN
iajs-317	99	31	,	,	PUNCT
iajs-317	99	32	b	b	X
iajs-317	99	33	-	-	PUNCT
iajs-317	99	34	connected	connect	VERB
iajs-317	99	35	space	space	NOUN
iajs-317	99	36	,	,	PUNCT
iajs-317	99	37	bgconnected	bgconnecte	VERB
iajs-317	99	38	space	space	NOUN
iajs-317	99	39	and	and	CCONJ
iajs-317	99	40	bg**-connected	bg**-connecte	VERB
iajs-317	99	41	space	space	NOUN
iajs-317	99	42	)	)	PUNCT
iajs-317	99	43	under	under	ADP
iajs-317	99	44	the	the	DET
iajs-317	99	45	continuous	continuous	ADJ
iajs-317	99	46	function	function	NOUN
iajs-317	99	47	.	.	PUNCT
iajs-317	100	1	connected	connected	ADJ
iajs-317	100	2	space	space	NOUN
iajs-317	100	3	is	be	AUX
iajs-317	100	4	connected.-continuous	connected.-continuous	ADJ
iajs-317	100	5	image	image	NOUN
iajs-317	100	6	of	of	ADP
iajs-317	100	7	b	b	NOUN
iajs-317	100	8	-	-	PUNCT
iajs-317	100	9	b	b	NOUN
iajs-317	100	10	:	:	PUNCT
iajs-317	100	11	theorem	theorem	NOUN
iajs-317	100	12	4.4	4.4	NUM
iajs-317	100	13	.	.	PUNCT
iajs-317	101	1	connected	connected	ADJ
iajs-317	101	2	space	space	NOUN
iajs-317	101	3	.	.	PUNCT
iajs-317	102	1	to	to	PART
iajs-317	102	2	prove	prove	VERB
iajs-317	102	3	y	y	PROPN
iajs-317	102	4	is	be	AUX
iajs-317	102	5	-continuous	-continuous	ADJ
iajs-317	102	6	function	function	NOUN
iajs-317	102	7	,	,	PUNCT
iajs-317	102	8	and	and	CCONJ
iajs-317	102	9	let	let	VERB
iajs-317	102	10	x	x	PRON
iajs-317	102	11	be	be	AUX
iajs-317	102	12	b	b	X
iajs-317	102	13	-	-	PUNCT
iajs-317	102	14	y	y	NOUN
iajs-317	102	15	be	be	AUX
iajs-317	102	16	b	b	NOUN
iajs-317	102	17	f	f	PUNCT
iajs-317	102	18	:	:	PUNCT
iajs-317	103	1	xlet	xlet	NUM
iajs-317	103	2	proof	proof	NOUN
iajs-317	103	3	:	:	PUNCT
iajs-317	103	4	connected	connect	VERB
iajs-317	103	5	.	.	PUNCT
iajs-317	103	6	suppose	suppose	VERB
iajs-317	103	7	that	that	SCONJ
iajs-317	103	8	y	y	PROPN
iajs-317	103	9	is	be	AUX
iajs-317	103	10	disconnected	disconnected	ADJ
iajs-317	103	11	space	space	NOUN
iajs-317	103	12	,	,	PUNCT
iajs-317	103	13	then	then	ADV
iajs-317	103	14	y=	y=	NUM
iajs-317	103	15	ab	ab	PROPN
iajs-317	103	16	,	,	PUNCT
iajs-317	103	17	where	where	SCONJ
iajs-317	103	18	a	a	PRON
iajs-317	103	19	and	and	CCONJ
iajs-317	103	20	b	b	NOUN
iajs-317	103	21	are	be	AUX
iajs-317	103	22	disjoint	disjoint	ADJ
iajs-317	103	23	-empty	-empty	NOUN
iajs-317	103	24	b-(b	b-(b	NOUN
iajs-317	103	25	)	)	PUNCT
iajs-317	103	26	are	be	AUX
iajs-317	103	27	disjoint	disjoint	PROPN
iajs-317	103	28	non1-(a	non1-(a	PROPN
iajs-317	103	29	)	)	PUNCT
iajs-317	103	30	and	and	CCONJ
iajs-317	103	31	f	f	PROPN
iajs-317	103	32	1	1	NUM
iajs-317	103	33	-	-	PUNCT
iajs-317	103	34	continuous	continuous	ADJ
iajs-317	103	35	f	f	NOUN
iajs-317	103	36	-empty	-empty	NOUN
iajs-317	103	37	open	open	ADJ
iajs-317	103	38	sets	set	NOUN
iajs-317	103	39	in	in	ADP
iajs-317	103	40	y.since	y.since	NOUN
iajs-317	103	41	f	f	PROPN
iajs-317	103	42	is	be	AUX
iajs-317	103	43	b	b	PROPN
iajs-317	103	44	-	-	PUNCT
iajs-317	103	45	non	non	NOUN
iajs-317	103	46	connected	connect	VERB
iajs-317	103	47	.	.	PUNCT
iajs-317	104	1	-this	-this	PROPN
iajs-317	104	2	contradicts	contradict	VERB
iajs-317	104	3	the	the	DET
iajs-317	104	4	fact	fact	NOUN
iajs-317	104	5	that	that	SCONJ
iajs-317	104	6	x	x	PRON
iajs-317	104	7	is	be	AUX
iajs-317	104	8	b	b	X
iajs-317	104	9	(	(	PUNCT
iajs-317	104	10	b	b	NOUN
iajs-317	104	11	)	)	PUNCT
iajs-317	104	12	.1	.1	NOUN
iajs-317	104	13	-	-	PUNCT
iajs-317	104	14	f	f	PROPN
iajs-317	104	15	(a)1	(a)1	ADV
iajs-317	104	16	-	-	PUNCT
iajs-317	104	17	open	open	ADJ
iajs-317	104	18	sets	set	NOUN
iajs-317	104	19	in	in	ADP
iajs-317	104	20	x	x	SYM
iajs-317	104	21	such	such	ADJ
iajs-317	104	22	that	that	SCONJ
iajs-317	104	23	x	x	X
iajs-317	104	24	=	=	SYM
iajs-317	104	25	f	f	PROPN
iajs-317	104	26	hence	hence	ADV
iajs-317	104	27	y	y	PROPN
iajs-317	104	28	is	be	AUX
iajs-317	104	29	connected	connect	VERB
iajs-317	104	30	.	.	PUNCT
iajs-317	105	1	connected	connect	VERB
iajs-317	105	2	-connected	-connected	ADJ
iajs-317	105	3	space	space	NOUN
iajs-317	105	4	,	,	PUNCT
iajs-317	105	5	bdiagram	bdiagram	NOUN
iajs-317	105	6	(	(	PUNCT
iajs-317	105	7	3	3	X
iajs-317	105	8	)	)	PUNCT
iajs-317	105	9	shows	show	VERB
iajs-317	105	10	the	the	DET
iajs-317	105	11	relationships	relationship	NOUN
iajs-317	105	12	between	between	ADP
iajs-317	105	13	(	(	PUNCT
iajs-317	105	14	remark	remark	NOUN
iajs-317	105	15	4.5	4.5	NUM
iajs-317	105	16	:	:	PUNCT
iajs-317	105	17	space	space	NOUN
iajs-317	105	18	,	,	PUNCT
iajs-317	105	19	bg	bg	NOUN
iajs-317	105	20	-	-	PUNCT
iajs-317	105	21	connected	connect	VERB
iajs-317	105	22	space	space	NOUN
iajs-317	105	23	and	and	CCONJ
iajs-317	105	24	bg**-connected	bg**-connecte	VERB
iajs-317	105	25	space	space	NOUN
iajs-317	105	26	)	)	PUNCT
iajs-317	105	27	under	under	ADP
iajs-317	105	28	the	the	DET
iajs-317	105	29	b	b	NOUN
iajs-317	105	30	-	-	PUNCT
iajs-317	105	31	continuous	continuous	ADJ
iajs-317	105	32	function	function	NOUN
iajs-317	105	33	.	.	PUNCT
iajs-317	106	1	b	b	X
iajs-317	106	2	-	-	PUNCT
iajs-317	106	3	continuous	continuous	ADJ
iajs-317	106	4	f	f	NOUN
iajs-317	106	5	:	:	PUNCT
iajs-317	106	6	x	x	SYM
iajs-317	106	7	y	y	PROPN
iajs-317	106	8	connected	connect	VERB
iajs-317	106	9	connected	connect	VERB
iajs-317	106	10	bconnected	bconnecte	VERB
iajs-317	106	11	connected	connect	VERB
iajs-317	106	12	bgconnected	bgconnecte	VERB
iajs-317	106	13	connected	connected	ADJ
iajs-317	106	14	connected	connect	VERB
iajs-317	106	15	bconnected	bconnecte	VERB
iajs-317	106	16	connected	connect	VERB
iajs-317	106	17	bgconnected	bgconnecte	VERB
iajs-317	106	18	connected	connect	VERB
iajs-317	106	19	bg**connected	bg**connecte	VERB
iajs-317	106	20	diagram	diagram	NOUN
iajs-317	106	21	(	(	PUNCT
iajs-317	106	22	3):the	3):the	DET
iajs-317	106	23	relationships	relationship	NOUN
iajs-317	106	24	between	between	ADP
iajs-317	106	25	(	(	PUNCT
iajs-317	106	26	connected	connected	ADJ
iajs-317	106	27	space	space	NOUN
iajs-317	106	28	,	,	PUNCT
iajs-317	106	29	b	b	X
iajs-317	106	30	-	-	PUNCT
iajs-317	106	31	connected	connect	VERB
iajs-317	106	32	space	space	NOUN
iajs-317	106	33	,	,	PUNCT
iajs-317	106	34	bg	bg	NOUN
iajs-317	106	35	connected	connected	ADJ
iajs-317	106	36	space	space	NOUN
iajs-317	106	37	and	and	CCONJ
iajs-317	106	38	bg**-connected	bg**-connecte	VERB
iajs-317	106	39	space	space	NOUN
iajs-317	106	40	)	)	PUNCT
iajs-317	106	41	under	under	ADP
iajs-317	106	42	the	the	DET
iajs-317	106	43	b	b	NOUN
iajs-317	106	44	-	-	PUNCT
iajs-317	106	45	continuous	continuous	ADJ
iajs-317	106	46	function	function	NOUN
iajs-317	106	47	.	.	PUNCT
iajs-317	107	1	528	528	NUM
iajs-317	107	2	|	|	ADV
iajs-317	107	3	mathematics	mathematic	NOUN
iajs-317	107	4	2014	2014	NUM
iajs-317	107	5	)	)	PUNCT
iajs-317	107	6	عام	عام	ADP
iajs-317	107	7	3(العدد	3(العدد	NUM
iajs-317	107	8	27المجلد	27المجلد	NUM
iajs-317	108	1	مجلة	مجلة	VERB
iajs-317	108	2	إبن	إبن	NOUN
iajs-317	108	3	الھيثم	الھيثم	NOUN
iajs-317	108	4	للعلوم	للعلوم	NOUN
iajs-317	108	5	الصرفة	الصرفة	NOUN
iajs-317	109	1	و	و	PRON
iajs-317	109	2	التطبيقية	التطبيقية	ADJ
iajs-317	109	3	ibn	ibn	PROPN
iajs-317	109	4	al	al	PROPN
iajs-317	109	5	-	-	PUNCT
iajs-317	109	6	haitham	haitham	PROPN
iajs-317	109	7	jour	jour	X
iajs-317	109	8	.	.	PROPN
iajs-317	109	9	for	for	ADP
iajs-317	109	10	pure	pure	ADJ
iajs-317	109	11	&	&	CCONJ
iajs-317	109	12	appl	appl	PROPN
iajs-317	109	13	.	.	PUNCT
iajs-317	110	1	sci	sci	PROPN
iajs-317	110	2	.	.	PUNCT
iajs-317	110	3	vol	vol	NOUN
iajs-317	110	4	.	.	PROPN
iajs-317	111	1	27	27	NUM
iajs-317	111	2	(	(	PUNCT
iajs-317	111	3	3	3	NUM
iajs-317	111	4	)	)	PUNCT
iajs-317	111	5	2014	2014	NUM
iajs-317	111	6	6	6	NUM
iajs-317	111	7	:	:	PUNCT
iajs-317	111	8	theorem	theorem	NOUN
iajs-317	111	9	4	4	NUM
iajs-317	111	10	.	.	PUNCT
iajs-317	112	1	(	(	PUNCT
iajs-317	112	2	i	i	NOUN
iajs-317	112	3	)	)	PUNCT
iajs-317	112	4	bg	bg	ADJ
iajs-317	112	5	-	-	ADJ
iajs-317	112	6	continuous	continuous	ADJ
iajs-317	112	7	image	image	NOUN
iajs-317	112	8	of	of	ADP
iajs-317	112	9	b	b	NOUN
iajs-317	112	10	-	-	PUNCT
iajs-317	112	11	connected	connect	VERB
iajs-317	112	12	space	space	NOUN
iajs-317	112	13	is	be	AUX
iajs-317	112	14	connected	connect	VERB
iajs-317	112	15	.	.	PUNCT
iajs-317	113	1	(	(	PUNCT
iajs-317	113	2	ii	ii	NOUN
iajs-317	113	3	)	)	PUNCT
iajs-317	113	4	bg	bg	NOUN
iajs-317	113	5	-	-	ADJ
iajs-317	113	6	continuous	continuous	ADJ
iajs-317	113	7	image	image	NOUN
iajs-317	113	8	of	of	ADP
iajs-317	113	9	bg	bg	PROPN
iajs-317	113	10	-	-	PUNCT
iajs-317	113	11	connected	connect	VERB
iajs-317	113	12	space	space	NOUN
iajs-317	113	13	is	be	AUX
iajs-317	113	14	connected	connect	VERB
iajs-317	113	15	.	.	PUNCT
iajs-317	114	1	(	(	PUNCT
iajs-317	114	2	iii	iii	X
iajs-317	114	3	)	)	PUNCT
iajs-317	114	4	bg	bg	NOUN
iajs-317	114	5	-	-	ADJ
iajs-317	114	6	continuous	continuous	ADJ
iajs-317	114	7	image	image	NOUN
iajs-317	114	8	of	of	ADP
iajs-317	114	9	bg**-connected	bg**-connecte	VERB
iajs-317	114	10	space	space	NOUN
iajs-317	114	11	is	be	AUX
iajs-317	114	12	connected	connect	VERB
iajs-317	114	13	.	.	PUNCT
iajs-317	115	1	connected	connected	ADJ
iajs-317	115	2	space	space	NOUN
iajs-317	115	3	.	.	PUNCT
iajs-317	116	1	to	to	PART
iajs-317	116	2	prove	prove	VERB
iajs-317	116	3	-continuous	-continuous	ADJ
iajs-317	116	4	function	function	NOUN
iajs-317	116	5	,	,	PUNCT
iajs-317	116	6	and	and	CCONJ
iajs-317	116	7	let	let	VERB
iajs-317	116	8	x	x	PRON
iajs-317	116	9	be	be	AUX
iajs-317	116	10	b	b	X
iajs-317	116	11	-	-	PUNCT
iajs-317	116	12	y	y	NOUN
iajs-317	116	13	be	be	AUX
iajs-317	116	14	bg	bg	PROPN
iajs-317	116	15	f	f	PUNCT
iajs-317	116	16	:	:	PUNCT
iajs-317	116	17	x(i	x(i	X
iajs-317	116	18	)	)	PUNCT
iajs-317	116	19	let	let	VERB
iajs-317	116	20	proof	proof	NOUN
iajs-317	116	21	:	:	PUNCT
iajs-317	116	22	y	y	PROPN
iajs-317	116	23	is	be	AUX
iajs-317	116	24	connected.suppose	connected.suppose	NUM
iajs-317	116	25	that	that	SCONJ
iajs-317	116	26	y	y	PROPN
iajs-317	116	27	is	be	AUX
iajs-317	116	28	disconnected	disconnected	ADJ
iajs-317	116	29	space	space	NOUN
iajs-317	116	30	,	,	PUNCT
iajs-317	116	31	then	then	ADV
iajs-317	116	32	y=	y=	NUM
iajs-317	116	33	ab	ab	PROPN
iajs-317	116	34	,	,	PUNCT
iajs-317	116	35	where	where	SCONJ
iajs-317	116	36	a	a	PRON
iajs-317	116	37	and	and	CCONJ
iajs-317	116	38	b	b	NOUN
iajs-317	116	39	are	be	AUX
iajs-317	116	40	-(b	-(b	PUNCT
iajs-317	116	41	)	)	PUNCT
iajs-317	116	42	are	be	AUX
iajs-317	116	43	disjoint	disjoint	PROPN
iajs-317	116	44	non1-(a	non1-(a	PROPN
iajs-317	116	45	)	)	PUNCT
iajs-317	116	46	and	and	CCONJ
iajs-317	116	47	f	f	PROPN
iajs-317	116	48	1	1	NUM
iajs-317	116	49	-	-	PUNCT
iajs-317	116	50	continuous	continuous	ADJ
iajs-317	116	51	f	f	NOUN
iajs-317	116	52	-empty	-empty	NOUN
iajs-317	116	53	open	open	ADJ
iajs-317	116	54	sets	set	NOUN
iajs-317	116	55	in	in	ADP
iajs-317	116	56	y.since	y.since	NOUN
iajs-317	116	57	f	f	PROPN
iajs-317	116	58	is	be	AUX
iajs-317	116	59	bg	bg	PROPN
iajs-317	116	60	-	-	PUNCT
iajs-317	116	61	disjoint	disjoint	ADJ
iajs-317	116	62	non	non	NOUN
iajs-317	116	63	,	,	PUNCT
iajs-317	116	64	such	such	ADJ
iajs-317	116	65	that	that	SCONJ
iajs-317	116	66	by	by	ADP
iajs-317	116	67	remark	remark	NOUN
iajs-317	116	68	2.6(2	2.6(2	NUM
iajs-317	116	69	)	)	PUNCT
iajs-317	116	70	open-(b	open-(b	PROPN
iajs-317	116	71	)	)	PUNCT
iajs-317	116	72	are	be	AUX
iajs-317	116	73	b1-(a	b1-(a	ADJ
iajs-317	116	74	)	)	PUNCT
iajs-317	116	75	and	and	CCONJ
iajs-317	116	76	f	f	PROPN
iajs-317	116	77	1	1	NUM
iajs-317	116	78	-	-	PUNCT
iajs-317	116	79	open	open	ADJ
iajs-317	116	80	sets	set	NOUN
iajs-317	116	81	in	in	ADP
iajs-317	116	82	x	x	PUNCT
iajs-317	116	83	,	,	PUNCT
iajs-317	116	84	and	and	CCONJ
iajs-317	116	85	f	f	PROPN
iajs-317	116	86	-empty	-empty	PROPN
iajs-317	116	87	bg	bg	NOUN
iajs-317	116	88	connected	connect	VERB
iajs-317	116	89	.	.	PUNCT
iajs-317	117	1	connected	connect	VERB
iajs-317	117	2	.	.	PUNCT
iajs-317	118	1	hence	hence	ADV
iajs-317	118	2	y	y	PROPN
iajs-317	118	3	is	be	AUX
iajs-317	118	4	-	-	PUNCT
iajs-317	118	5	hat	hat	NOUN
iajs-317	118	6	x	x	NOUN
iajs-317	118	7	is	be	AUX
iajs-317	118	8	bthis	bthis	PROPN
iajs-317	118	9	contradicts	contradict	VERB
iajs-317	118	10	the	the	DET
iajs-317	118	11	fact	fact	NOUN
iajs-317	118	12	t	t	PROPN
iajs-317	118	13	(	(	PUNCT
iajs-317	118	14	b	b	NOUN
iajs-317	118	15	)	)	PUNCT
iajs-317	118	16	.1	.1	NOUN
iajs-317	118	17	-	-	PUNCT
iajs-317	118	18	f	f	PROPN
iajs-317	118	19	(a)1	(a)1	PROPN
iajs-317	118	20	-	-	PUNCT
iajs-317	118	21	x	x	SYM
iajs-317	118	22	=	=	SYM
iajs-317	118	23	f	f	PROPN
iajs-317	118	24	(	(	PUNCT
iajs-317	118	25	ii	ii	PROPN
iajs-317	118	26	)	)	PUNCT
iajs-317	118	27	and	and	CCONJ
iajs-317	118	28	(	(	PUNCT
iajs-317	118	29	iii	iii	NOUN
iajs-317	118	30	)	)	PUNCT
iajs-317	118	31	by	by	ADP
iajs-317	118	32	the	the	DET
iajs-317	118	33	same	same	ADJ
iajs-317	118	34	way	way	NOUN
iajs-317	118	35	of	of	ADP
iajs-317	118	36	proof	proof	NOUN
iajs-317	118	37	(	(	PUNCT
iajs-317	118	38	i	i	NOUN
iajs-317	118	39	)	)	PUNCT
iajs-317	118	40	,	,	PUNCT
iajs-317	118	41	and	and	CCONJ
iajs-317	118	42	remark	remark	NOUN
iajs-317	118	43	2.6(3	2.6(3	NUM
iajs-317	118	44	)	)	PUNCT
iajs-317	118	45	.	.	PUNCT
iajs-317	119	1	connected	connect	VERB
iajs-317	119	2	-connected	-connected	ADJ
iajs-317	119	3	space	space	NOUN
iajs-317	119	4	,	,	PUNCT
iajs-317	119	5	bdiagram	bdiagram	NOUN
iajs-317	119	6	(	(	PUNCT
iajs-317	119	7	4	4	NUM
iajs-317	119	8	)	)	PUNCT
iajs-317	119	9	shows	show	VERB
iajs-317	119	10	the	the	DET
iajs-317	119	11	relationship	relationship	NOUN
iajs-317	119	12	between	between	ADP
iajs-317	119	13	(	(	PUNCT
iajs-317	119	14	remark	remark	NOUN
iajs-317	119	15	4.7	4.7	NUM
iajs-317	119	16	:	:	PUNCT
iajs-317	119	17	space	space	NOUN
iajs-317	119	18	,	,	PUNCT
iajs-317	119	19	bg	bg	NOUN
iajs-317	119	20	-	-	PUNCT
iajs-317	119	21	connected	connect	VERB
iajs-317	119	22	space	space	NOUN
iajs-317	119	23	and	and	CCONJ
iajs-317	119	24	bg**-connected	bg**-connecte	VERB
iajs-317	119	25	space	space	NOUN
iajs-317	119	26	)	)	PUNCT
iajs-317	119	27	under	under	ADP
iajs-317	119	28	the	the	DET
iajs-317	119	29	bg	bg	NOUN
iajs-317	119	30	-	-	ADJ
iajs-317	119	31	continuous	continuous	ADJ
iajs-317	119	32	function	function	NOUN
iajs-317	119	33	.	.	PUNCT
iajs-317	120	1	bg	bg	NOUN
iajs-317	120	2	-	-	ADJ
iajs-317	120	3	continuous	continuous	ADJ
iajs-317	120	4	f	f	NOUN
iajs-317	120	5	:	:	PUNCT
iajs-317	120	6	x	x	SYM
iajs-317	120	7	y	y	PROPN
iajs-317	120	8	connected	connect	VERB
iajs-317	120	9	connected	connect	VERB
iajs-317	120	10	bconnected	bconnecte	VERB
iajs-317	120	11	connected	connect	VERB
iajs-317	120	12	bgconnected	bgconnecte	VERB
iajs-317	120	13	connected	connect	VERB
iajs-317	120	14	bg**connected	bg**connecte	VERB
iajs-317	120	15	connected	connect	VERB
iajs-317	120	16	connected	connect	VERB
iajs-317	120	17	bconnected	bconnecte	VERB
iajs-317	120	18	connected	connect	VERB
iajs-317	120	19	bgconnected	bgconnecte	VERB
iajs-317	120	20	diagram	diagram	NOUN
iajs-317	120	21	(	(	PUNCT
iajs-317	120	22	4):the	4):the	DET
iajs-317	120	23	relationships	relationship	NOUN
iajs-317	120	24	between	between	ADP
iajs-317	120	25	(	(	PUNCT
iajs-317	120	26	connected	connected	ADJ
iajs-317	120	27	space	space	NOUN
iajs-317	120	28	,	,	PUNCT
iajs-317	120	29	b	b	X
iajs-317	120	30	-	-	PUNCT
iajs-317	120	31	connected	connect	VERB
iajs-317	120	32	space	space	NOUN
iajs-317	120	33	,	,	PUNCT
iajs-317	120	34	bg	bg	NOUN
iajs-317	120	35	connected	connected	ADJ
iajs-317	120	36	space	space	NOUN
iajs-317	120	37	and	and	CCONJ
iajs-317	120	38	bg**-connected	bg**-connecte	VERB
iajs-317	120	39	space	space	NOUN
iajs-317	120	40	)	)	PUNCT
iajs-317	120	41	under	under	ADP
iajs-317	120	42	the	the	DET
iajs-317	120	43	bg	bg	NOUN
iajs-317	120	44	-	-	ADJ
iajs-317	120	45	continuous	continuous	ADJ
iajs-317	120	46	function	function	NOUN
iajs-317	120	47	.	.	PUNCT
iajs-317	121	1	:	:	PUNCT
iajs-317	121	2	theorem	theorem	VERB
iajs-317	121	3	4.8	4.8	NUM
iajs-317	121	4	(	(	PUNCT
iajs-317	121	5	i	i	NOUN
iajs-317	121	6	)	)	PUNCT
iajs-317	121	7	bg**-continuous	bg**-continuous	ADJ
iajs-317	121	8	image	image	NOUN
iajs-317	121	9	of	of	ADP
iajs-317	121	10	b	b	NOUN
iajs-317	121	11	-	-	PUNCT
iajs-317	121	12	connected	connect	VERB
iajs-317	121	13	space	space	NOUN
iajs-317	121	14	is	be	AUX
iajs-317	121	15	connected	connect	VERB
iajs-317	121	16	.	.	PUNCT
iajs-317	122	1	(	(	PUNCT
iajs-317	122	2	ii	ii	NOUN
iajs-317	122	3	)	)	PUNCT
iajs-317	122	4	bg**-continuous	bg**-continuous	ADJ
iajs-317	122	5	image	image	NOUN
iajs-317	122	6	of	of	ADP
iajs-317	122	7	bg**-connected	bg**-connecte	VERB
iajs-317	122	8	space	space	NOUN
iajs-317	122	9	is	be	AUX
iajs-317	122	10	connected	connect	VERB
iajs-317	122	11	.	.	PUNCT
iajs-317	123	1	connected	connected	ADJ
iajs-317	123	2	space	space	NOUN
iajs-317	123	3	.	.	PUNCT
iajs-317	124	1	to	to	PART
iajs-317	124	2	prove	prove	VERB
iajs-317	124	3	y	y	PROPN
iajs-317	124	4	is	be	AUX
iajs-317	124	5	-continuous	-continuous	ADJ
iajs-317	124	6	,	,	PUNCT
iajs-317	124	7	and	and	CCONJ
iajs-317	124	8	let	let	VERB
iajs-317	124	9	x	x	PART
iajs-317	124	10	be	be	AUX
iajs-317	124	11	b-**y	b-**y	NOUN
iajs-317	124	12	be	be	AUX
iajs-317	124	13	bg	bg	PROPN
iajs-317	124	14	f	f	PUNCT
iajs-317	124	15	:	:	PUNCT
iajs-317	124	16	x(i	x(i	X
iajs-317	124	17	)	)	PUNCT
iajs-317	124	18	let	let	VERB
iajs-317	124	19	proof	proof	NOUN
iajs-317	124	20	:	:	PUNCT
iajs-317	124	21	connected	connect	VERB
iajs-317	124	22	.	.	PUNCT
iajs-317	125	1	suppose	suppose	VERB
iajs-317	125	2	that	that	SCONJ
iajs-317	125	3	y	y	PROPN
iajs-317	125	4	is	be	AUX
iajs-317	125	5	disconnected	disconnected	ADJ
iajs-317	125	6	space	space	NOUN
iajs-317	125	7	,	,	PUNCT
iajs-317	125	8	then	then	ADV
iajs-317	125	9	y=	y=	NUM
iajs-317	125	10	ab	ab	PROPN
iajs-317	125	11	,	,	PUNCT
iajs-317	125	12	where	where	SCONJ
iajs-317	125	13	a	a	PRON
iajs-317	125	14	and	and	CCONJ
iajs-317	125	15	b	b	NOUN
iajs-317	125	16	are	be	AUX
iajs-317	125	17	disjoint	disjoint	ADJ
iajs-317	125	18	non	non	ADJ
iajs-317	125	19	-	-	ADJ
iajs-317	125	20	empty	empty	ADJ
iajs-317	125	21	empty	empty	ADJ
iajs-317	125	22	-(b	-(b	PUNCT
iajs-317	125	23	)	)	PUNCT
iajs-317	125	24	are	be	AUX
iajs-317	125	25	disjoint	disjoint	PROPN
iajs-317	125	26	non1-(a	non1-(a	PROPN
iajs-317	125	27	)	)	PUNCT
iajs-317	125	28	and	and	CCONJ
iajs-317	125	29	f	f	PROPN
iajs-317	125	30	1	1	NUM
iajs-317	125	31	-	-	PUNCT
iajs-317	125	32	continuous	continuous	ADJ
iajs-317	125	33	,	,	PUNCT
iajs-317	125	34	f	f	PROPN
iajs-317	125	35	-open	-open	NOUN
iajs-317	125	36	sets	set	NOUN
iajs-317	125	37	in	in	ADP
iajs-317	125	38	y.since	y.since	NOUN
iajs-317	125	39	f	f	PROPN
iajs-317	125	40	is	be	AUX
iajs-317	125	41	bg	bg	PROPN
iajs-317	125	42	*	*	PROPN
iajs-317	125	43	*	*	PROPN
iajs-317	125	44	,	,	PUNCT
iajs-317	125	45	such	such	ADJ
iajs-317	125	46	that	that	SCONJ
iajs-317	125	47	by	by	ADP
iajs-317	125	48	remark	remark	NOUN
iajs-317	125	49	2.6(4	2.6(4	NUM
iajs-317	125	50	)	)	PUNCT
iajs-317	125	51	open-(b	open-(b	PROPN
iajs-317	125	52	)	)	PUNCT
iajs-317	125	53	are	be	AUX
iajs-317	125	54	b1-(a	b1-(a	ADJ
iajs-317	125	55	)	)	PUNCT
iajs-317	125	56	and	and	CCONJ
iajs-317	125	57	f	f	PROPN
iajs-317	125	58	1	1	NUM
iajs-317	125	59	-	-	PUNCT
iajs-317	125	60	n	n	PRON
iajs-317	125	61	sets	set	NOUN
iajs-317	125	62	in	in	ADP
iajs-317	125	63	x	x	NOUN
iajs-317	125	64	,	,	PUNCT
iajs-317	125	65	and	and	CCONJ
iajs-317	125	66	f	f	PROPN
iajs-317	125	67	ope	ope	PROPN
iajs-317	125	68	-	-	PUNCT
iajs-317	125	69	bg	bg	NOUN
iajs-317	125	70	*	*	PROPN
iajs-317	125	71	*	*	PROPN
iajs-317	125	72	connected	connect	VERB
iajs-317	125	73	.	.	PUNCT
iajs-317	126	1	connected	connect	VERB
iajs-317	126	2	.	.	PUNCT
iajs-317	127	1	hence	hence	ADV
iajs-317	127	2	y	y	PROPN
iajs-317	127	3	is	be	AUX
iajs-317	127	4	-	-	PUNCT
iajs-317	127	5	this	this	PRON
iajs-317	127	6	contradicts	contradict	VERB
iajs-317	127	7	the	the	DET
iajs-317	127	8	fact	fact	NOUN
iajs-317	127	9	that	that	SCONJ
iajs-317	127	10	x	x	PRON
iajs-317	127	11	is	be	AUX
iajs-317	127	12	b	b	X
iajs-317	127	13	(	(	PUNCT
iajs-317	127	14	b	b	NOUN
iajs-317	127	15	)	)	PUNCT
iajs-317	127	16	.1	.1	NOUN
iajs-317	127	17	-	-	PUNCT
iajs-317	127	18	f	f	PROPN
iajs-317	127	19	(a)1	(a)1	PROPN
iajs-317	127	20	-	-	PUNCT
iajs-317	127	21	x	x	SYM
iajs-317	127	22	=	=	SYM
iajs-317	127	23	f	f	PROPN
iajs-317	127	24	(	(	PUNCT
iajs-317	127	25	ii	ii	PROPN
iajs-317	127	26	)	)	PUNCT
iajs-317	127	27	by	by	ADP
iajs-317	127	28	theorem	theorem	ADJ
iajs-317	127	29	3.8(i	3.8(i	NUM
iajs-317	127	30	)	)	PUNCT
iajs-317	127	31	.	.	PUNCT
iajs-317	128	1	connected	connect	VERB
iajs-317	128	2	-connected	-connected	ADJ
iajs-317	128	3	space	space	NOUN
iajs-317	128	4	,	,	PUNCT
iajs-317	128	5	bdiagram	bdiagram	NOUN
iajs-317	128	6	(	(	PUNCT
iajs-317	128	7	5	5	NUM
iajs-317	128	8	)	)	PUNCT
iajs-317	128	9	shows	show	VERB
iajs-317	128	10	the	the	DET
iajs-317	128	11	relationships	relationship	NOUN
iajs-317	128	12	between	between	ADP
iajs-317	128	13	(	(	PUNCT
iajs-317	128	14	remark	remark	NOUN
iajs-317	128	15	4.9	4.9	NUM
iajs-317	128	16	:	:	PUNCT
iajs-317	128	17	space	space	NOUN
iajs-317	128	18	,	,	PUNCT
iajs-317	128	19	bg	bg	NOUN
iajs-317	128	20	-	-	PUNCT
iajs-317	128	21	connected	connect	VERB
iajs-317	128	22	space	space	NOUN
iajs-317	128	23	and	and	CCONJ
iajs-317	128	24	bg**-connected	bg**-connecte	VERB
iajs-317	128	25	space	space	NOUN
iajs-317	128	26	)	)	PUNCT
iajs-317	128	27	under	under	ADP
iajs-317	128	28	the	the	DET
iajs-317	128	29	bg**-continuous	bg**-continuous	ADJ
iajs-317	128	30	function	function	NOUN
iajs-317	128	31	.	.	PUNCT
iajs-317	129	1	529	529	NUM
iajs-317	129	2	|	|	ADV
iajs-317	129	3	mathematics	mathematic	NOUN
iajs-317	129	4	2014	2014	NUM
iajs-317	129	5	)	)	PUNCT
iajs-317	129	6	عام	عام	ADP
iajs-317	129	7	3(العدد	3(العدد	NUM
iajs-317	129	8	27المجلد	27المجلد	NUM
iajs-317	129	9	مجلة	مجلة	VERB
iajs-317	129	10	إبن	إبن	NOUN
iajs-317	129	11	الھيثم	الھيثم	NOUN
iajs-317	129	12	للعلوم	للعلوم	NOUN
iajs-317	129	13	الصرفة	الصرفة	NOUN
iajs-317	130	1	و	و	PRON
iajs-317	130	2	التطبيقية	التطبيقية	ADJ
iajs-317	130	3	ibn	ibn	PROPN
iajs-317	130	4	al	al	PROPN
iajs-317	130	5	-	-	PUNCT
iajs-317	130	6	haitham	haitham	PROPN
iajs-317	130	7	jour	jour	X
iajs-317	130	8	.	.	PROPN
iajs-317	130	9	for	for	ADP
iajs-317	130	10	pure	pure	ADJ
iajs-317	130	11	&	&	CCONJ
iajs-317	130	12	appl	appl	PROPN
iajs-317	130	13	.	.	PUNCT
iajs-317	131	1	sci	sci	PROPN
iajs-317	131	2	.	.	PUNCT
iajs-317	131	3	vol	vol	NOUN
iajs-317	131	4	.	.	PROPN
iajs-317	132	1	27	27	NUM
iajs-317	132	2	(	(	PUNCT
iajs-317	132	3	3	3	NUM
iajs-317	132	4	)	)	PUNCT
iajs-317	132	5	2014	2014	NUM
iajs-317	133	1	bg**-continuous	bg**-continuous	ADJ
iajs-317	133	2	f	f	X
iajs-317	133	3	:	:	PUNCT
iajs-317	133	4	x	x	SYM
iajs-317	133	5	y	y	PROPN
iajs-317	133	6	connected	connect	VERB
iajs-317	133	7	connected	connect	VERB
iajs-317	133	8	bconnected	bconnecte	VERB
iajs-317	133	9	connected	connect	VERB
iajs-317	133	10	bgconnected	bgconnecte	VERB
iajs-317	133	11	connected	connect	VERB
iajs-317	133	12	bg**connected	bg**connecte	VERB
iajs-317	133	13	connected	connect	VERB
iajs-317	133	14	connected	connect	VERB
iajs-317	133	15	bconnected	bconnecte	VERB
iajs-317	133	16	connected	connect	VERB
iajs-317	133	17	bgconnected	bgconnecte	VERB
iajs-317	133	18	diagram	diagram	NOUN
iajs-317	133	19	(	(	PUNCT
iajs-317	133	20	5):the	5):the	DET
iajs-317	133	21	relationships	relationship	NOUN
iajs-317	133	22	between	between	ADP
iajs-317	133	23	(	(	PUNCT
iajs-317	133	24	connected	connected	ADJ
iajs-317	133	25	space	space	NOUN
iajs-317	133	26	,	,	PUNCT
iajs-317	133	27	b	b	X
iajs-317	133	28	-	-	PUNCT
iajs-317	133	29	connected	connect	VERB
iajs-317	133	30	space	space	NOUN
iajs-317	133	31	,	,	PUNCT
iajs-317	133	32	bg	bg	PROPN
iajs-317	133	33	continuous	continuous	ADJ
iajs-317	133	34	function.-	function.-	PROPN
iajs-317	133	35	)	)	PUNCT
iajs-317	133	36	under	under	ADP
iajs-317	133	37	the	the	DET
iajs-317	133	38	bg**connected	bg**connecte	VERB
iajs-317	133	39	space	space	NOUN
iajs-317	133	40	-	-	PUNCT
iajs-317	133	41	connected	connect	VERB
iajs-317	133	42	space	space	NOUN
iajs-317	133	43	and	and	CCONJ
iajs-317	133	44	bg	bg	PROPN
iajs-317	133	45	*	*	PROPN
iajs-317	133	46	*	*	PROPN
iajs-317	133	47	references	reference	NOUN
iajs-317	133	48	[	[	X
iajs-317	133	49	1	1	NUM
iajs-317	133	50	]	]	PUNCT
iajs-317	133	51	andrijevic	andrijevic	ADJ
iajs-317	133	52	d.	d.	PROPN
iajs-317	133	53	(	(	PUNCT
iajs-317	133	54	1996	1996	NUM
iajs-317	133	55	)	)	PUNCT
iajs-317	133	56	,	,	PUNCT
iajs-317	133	57	on	on	ADP
iajs-317	133	58	b	b	X
iajs-317	133	59	-	-	PUNCT
iajs-317	133	60	open	open	ADJ
iajs-317	133	61	sets	set	NOUN
iajs-317	133	62	,	,	PUNCT
iajs-317	133	63	math	math	NOUN
iajs-317	133	64	.	.	PUNCT
iajs-317	134	1	vesnik	vesnik	PROPN
iajs-317	134	2	,	,	PUNCT
iajs-317	134	3	48	48	NUM
iajs-317	134	4	,	,	PUNCT
iajs-317	134	5	59	59	NUM
iajs-317	134	6	-	-	SYM
iajs-317	134	7	64	64	NUM
iajs-317	134	8	.	.	PUNCT
iajs-317	135	1	[	[	X
iajs-317	135	2	2	2	X
iajs-317	135	3	]	]	X
iajs-317	135	4	dunham	dunham	PROPN
iajs-317	135	5	w.	w.	PROPN
iajs-317	135	6	(	(	PUNCT
iajs-317	135	7	1982),a	1982),a	NUM
iajs-317	135	8	new	new	ADJ
iajs-317	135	9	closure	closure	NOUN
iajs-317	135	10	operator	operator	NOUN
iajs-317	135	11	for	for	ADP
iajs-317	135	12	non	non	PROPN
iajs-317	135	13	t1	t1	PROPN
iajs-317	135	14	topologies	topology	NOUN
iajs-317	135	15	,	,	PUNCT
iajs-317	135	16	kungpook	kungpook	PROPN
iajs-317	135	17	math	math	NOUN
iajs-317	135	18	.	.	PUNCT
iajs-317	136	1	j.	j.	PROPN
iajs-317	136	2	,	,	PUNCT
iajs-317	136	3	22	22	NUM
iajs-317	136	4	,	,	PUNCT
iajs-317	136	5	55	55	NUM
iajs-317	136	6	-	-	SYM
iajs-317	136	7	60	60	NUM
iajs-317	136	8	.	.	PUNCT
iajs-317	137	1	[	[	X
iajs-317	137	2	3	3	X
iajs-317	137	3	]	]	X
iajs-317	137	4	ekici	ekici	PROPN
iajs-317	137	5	e.and	e.and	PROPN
iajs-317	137	6	caldas	caldas	PROPN
iajs-317	137	7	m.	m.	NOUN
iajs-317	137	8	(	(	PUNCT
iajs-317	137	9	2004	2004	NUM
iajs-317	137	10	)	)	PUNCT
iajs-317	137	11	,	,	PUNCT
iajs-317	137	12	slightly	slightly	ADV
iajs-317	137	13	γ	γ	ADJ
iajs-317	137	14	-	-	ADJ
iajs-317	137	15	continuous	continuous	ADJ
iajs-317	137	16	functions	function	NOUN
iajs-317	137	17	,	,	PUNCT
iajs-317	137	18	b0l.soc	b0l.soc	PROPN
iajs-317	137	19	.	.	PUNCT
iajs-317	138	1	parana.mat	parana.mat	X
iajs-317	138	2	.	.	PUNCT
iajs-317	139	1	(	(	PUNCT
iajs-317	139	2	3)22	3)22	NUM
iajs-317	139	3	.2	.2	NUM
iajs-317	139	4	,	,	PUNCT
iajs-317	139	5	63	63	NUM
iajs-317	139	6	-	-	SYM
iajs-317	139	7	74	74	NUM
iajs-317	139	8	.	.	PUNCT
iajs-317	140	1	[	[	X
iajs-317	140	2	4	4	NUM
iajs-317	140	3	]	]	X
iajs-317	140	4	el	el	NOUN
iajs-317	140	5	-	-	PUNCT
iajs-317	140	6	etik	etik	PROPN
iajs-317	140	7	a.a	a.a	PROPN
iajs-317	140	8	.	.	PROPN
iajs-317	140	9	(	(	PUNCT
iajs-317	140	10	1997	1997	NUM
iajs-317	140	11	)	)	PUNCT
iajs-317	140	12	,	,	PUNCT
iajs-317	140	13	a	a	DET
iajs-317	140	14	study	study	NOUN
iajs-317	140	15	of	of	ADP
iajs-317	140	16	some	some	DET
iajs-317	140	17	types	type	NOUN
iajs-317	140	18	of	of	ADP
iajs-317	140	19	mappings	mapping	NOUN
iajs-317	140	20	on	on	ADP
iajs-317	140	21	topological	topological	ADJ
iajs-317	140	22	spaces	space	NOUN
iajs-317	140	23	,	,	PUNCT
iajs-317	140	24	m.sc	m.sc	PROPN
iajs-317	140	25	thesis	thesis	NOUN
iajs-317	140	26	,	,	PUNCT
iajs-317	140	27	tanta	tanta	PROPN
iajs-317	140	28	university	university	PROPN
iajs-317	140	29	,	,	PUNCT
iajs-317	140	30	egypt	egypt	PROPN
iajs-317	140	31	.	.	PUNCT
iajs-317	141	1	[	[	X
iajs-317	141	2	5	5	NUM
iajs-317	141	3	]	]	PUNCT
iajs-317	141	4	fukutake	fukutake	NOUN
iajs-317	141	5	t.	t.	PROPN
iajs-317	141	6	,	,	PUNCT
iajs-317	141	7	nasef	nasef	PROPN
iajs-317	141	8	a.a.and	a.a.and	PROPN
iajs-317	141	9	el	el	PROPN
iajs-317	141	10	-	-	PUNCT
iajs-317	141	11	maghrabi	maghrabi	PROPN
iajs-317	141	12	a.i	a.i	PROPN
iajs-317	141	13	.	.	PROPN
iajs-317	141	14	(	(	PUNCT
iajs-317	141	15	2003	2003	NUM
iajs-317	141	16	)	)	PUNCT
iajs-317	141	17	,	,	PUNCT
iajs-317	141	18	some	some	DET
iajs-317	141	19	topological	topological	ADJ
iajs-317	141	20	concepts	concept	NOUN
iajs-317	141	21	via	via	ADP
iajs-317	141	22	γ	γ	PROPN
iajs-317	141	23	-	-	ADJ
iajs-317	141	24	generalized	generalize	VERB
iajs-317	141	25	closed	closed	ADJ
iajs-317	141	26	sets	set	NOUN
iajs-317	141	27	,	,	PUNCT
iajs-317	141	28	bull.fukuoka	bull.fukuoka	PROPN
iajs-317	141	29	univ	univ	PROPN
iajs-317	141	30	.	.	PUNCT
iajs-317	142	1	edu	edu	PROPN
iajs-317	142	2	.	.	PUNCT
iajs-317	143	1	52(3	52(3	NUM
iajs-317	143	2	)	)	PUNCT
iajs-317	143	3	,	,	PUNCT
iajs-317	143	4	1	1	NUM
iajs-317	143	5	-	-	SYM
iajs-317	143	6	9	9	NUM
iajs-317	143	7	.	.	PUNCT
iajs-317	144	1	[	[	X
iajs-317	144	2	6	6	NUM
iajs-317	144	3	]	]	PUNCT
iajs-317	144	4	ganster	ganster	NOUN
iajs-317	144	5	m.and	m.and	PROPN
iajs-317	144	6	steiner	steiner	PROPN
iajs-317	144	7	m.	m.	NOUN
iajs-317	144	8	(	(	PUNCT
iajs-317	144	9	2007	2007	NUM
iajs-317	144	10	)	)	PUNCT
iajs-317	144	11	,	,	PUNCT
iajs-317	144	12	on	on	ADP
iajs-317	144	13	bτ	bτ	ADV
iajs-317	144	14	-	-	PUNCT
iajs-317	144	15	closed	close	VERB
iajs-317	144	16	sets	set	NOUN
iajs-317	144	17	,	,	PUNCT
iajs-317	144	18	appl	appl	NOUN
iajs-317	144	19	.	.	PUNCT
iajs-317	144	20	gen.topol	gen.topol	NOUN
iajs-317	144	21	.	.	PUNCT
iajs-317	144	22	,8	,8	PUNCT
iajs-317	144	23	.2	.2	NUM
iajs-317	144	24	,	,	PUNCT
iajs-317	144	25	243	243	NUM
iajs-317	144	26	-	-	SYM
iajs-317	144	27	247	247	NUM
iajs-317	144	28	.	.	PUNCT
iajs-317	145	1	[	[	X
iajs-317	145	2	7	7	NUM
iajs-317	145	3	]	]	X
iajs-317	145	4	ibraheem	ibraheem	NOUN
iajs-317	145	5	a.m.(2014	a.m.(2014	PROPN
iajs-317	145	6	)	)	PUNCT
iajs-317	145	7	,	,	PUNCT
iajs-317	145	8	on	on	ADP
iajs-317	145	9	a	a	DET
iajs-317	145	10	new	new	ADJ
iajs-317	145	11	class	class	NOUN
iajs-317	145	12	of	of	ADP
iajs-317	145	13	closed	closed	ADJ
iajs-317	145	14	sets	set	NOUN
iajs-317	145	15	in	in	ADP
iajs-317	145	16	topological	topological	ADJ
iajs-317	145	17	spaces	space	NOUN
iajs-317	145	18	,	,	PUNCT
iajs-317	145	19	journal	journal	NOUN
iajs-317	145	20	of	of	ADP
iajs-317	145	21	college	college	NOUN
iajs-317	145	22	of	of	ADP
iajs-317	145	23	education	education	PROPN
iajs-317	145	24	.1	.1	PROPN
iajs-317	145	25	.	.	PUNCT
iajs-317	146	1	[	[	X
iajs-317	146	2	8	8	NUM
iajs-317	146	3	]	]	X
iajs-317	146	4	mustafa	mustafa	PROPN
iajs-317	146	5	h.l	h.l	PROPN
iajs-317	146	6	.	.	PROPN
iajs-317	146	7	(	(	PUNCT
iajs-317	146	8	2001	2001	NUM
iajs-317	146	9	)	)	PUNCT
iajs-317	146	10	,	,	PUNCT
iajs-317	146	11	on	on	ADP
iajs-317	146	12	connected	connected	ADJ
iajs-317	146	13	functions	function	NOUN
iajs-317	146	14	,	,	PUNCT
iajs-317	146	15	m.sc.thesis	m.sc.thesis	NOUN
iajs-317	146	16	,	,	PUNCT
iajs-317	146	17	university	university	NOUN
iajs-317	146	18	of	of	ADP
iajs-317	146	19	al	al	PROPN
iajs-317	146	20	-	-	PUNCT
iajs-317	146	21	mustansirya	mustansirya	NOUN
iajs-317	146	22	.	.	PUNCT
iajs-317	147	1	[	[	X
iajs-317	147	2	9	9	NUM
iajs-317	147	3	]	]	PUNCT
iajs-317	147	4	park	park	NOUN
iajs-317	147	5	j.	j.	PROPN
iajs-317	147	6	h.	h.	PROPN
iajs-317	147	7	(	(	PUNCT
iajs-317	147	8	2006	2006	NUM
iajs-317	147	9	)	)	PUNCT
iajs-317	147	10	,	,	PUNCT
iajs-317	147	11	strongly	strongly	ADV
iajs-317	147	12	γ	γ	X
iajs-317	147	13	-b	-b	ADJ
iajs-317	147	14	-	-	PUNCT
iajs-317	147	15	continuous	continuous	ADJ
iajs-317	147	16	functions	function	NOUN
iajs-317	147	17	,	,	PUNCT
iajs-317	147	18	acta	acta	PROPN
iajs-317	147	19	math	math	PROPN
iajs-317	147	20	.	.	PUNCT
iajs-317	148	1	hungar	hungar	NOUN
iajs-317	148	2	,	,	PUNCT
iajs-317	148	3	110(4	110(4	NUM
iajs-317	148	4	)	)	PUNCT
iajs-317	148	5	,	,	PUNCT
iajs-317	148	6	.347–359	.347–359	PROPN
iajs-317	148	7	.	.	PUNCT
iajs-317	149	1	530	530	NUM
iajs-317	149	2	|	|	NOUN
iajs-317	149	3	mathematics	mathematic	NOUN
iajs-317	149	4	2014	2014	NUM
iajs-317	149	5	)	)	PUNCT
iajs-317	149	6	عام	عام	ADP
iajs-317	149	7	3(العدد	3(العدد	NUM
iajs-317	149	8	27المجلد	27المجلد	NUM
iajs-317	149	9	مجلة	مجلة	VERB
iajs-317	149	10	إبن	إبن	NOUN
iajs-317	149	11	الھيثم	الھيثم	NOUN
iajs-317	149	12	للعلوم	للعلوم	NOUN
iajs-317	149	13	الصرفة	الصرفة	NOUN
iajs-317	150	1	و	و	PRON
iajs-317	150	2	التطبيقية	التطبيقية	ADJ
iajs-317	150	3	ibn	ibn	PROPN
iajs-317	150	4	al	al	PROPN
iajs-317	150	5	-	-	PUNCT
iajs-317	150	6	haitham	haitham	PROPN
iajs-317	150	7	jour	jour	X
iajs-317	150	8	.	.	PROPN
iajs-317	150	9	for	for	ADP
iajs-317	150	10	pure	pure	ADJ
iajs-317	150	11	&	&	CCONJ
iajs-317	150	12	appl	appl	PROPN
iajs-317	150	13	.	.	PUNCT
iajs-317	151	1	sci	sci	PROPN
iajs-317	151	2	.	.	PUNCT
iajs-317	151	3	vol	vol	NOUN
iajs-317	151	4	.	.	PROPN
iajs-317	152	1	27	27	NUM
iajs-317	152	2	(	(	PUNCT
iajs-317	152	3	3	3	NUM
iajs-317	152	4	)	)	PUNCT
iajs-317	152	5	2014	2014	NUM
iajs-317	153	1	*	*	PUNCT
iajs-317	153	2	*	*	PUNCT
iajs-317	153	3	bg	bg	NOUN
iajs-317	153	4	-	-	PUNCT
iajs-317	153	5	الفضاءات	الفضاءات	PROPN
iajs-317	153	6	المترابطة	المترابطة	PROPN
iajs-317	153	7	افراح	افراح	PROPN
iajs-317	153	8	محمد	محمد	PROPN
iajs-317	153	9	ابراھيم	ابراھيم	INTJ
iajs-317	153	10	الجامعة	الجامعة	NOUN
iajs-317	153	11	المستنصرية/	المستنصرية/	NUM
iajs-317	153	12	كلية	كلية	NOUN
iajs-317	153	13	التربية	التربية	NOUN
iajs-317	153	14	/	/	SYM
iajs-317	153	15	الرياضياتقسم	الرياضياتقسم	PROPN
iajs-317	153	16	2014تموز	2014تموز	NUM
iajs-317	153	17	8	8	NUM
iajs-317	153	18	،	،	NOUN
iajs-317	153	19	قبل	قبل	NOUN
iajs-317	154	1	في	في	X
iajs-317	154	2	:	:	PUNCT
iajs-317	154	3	2014كانون	2014كانون	NUM
iajs-317	154	4	الثاني	الثاني	PROPN
iajs-317	154	5	29استلم	29استلم	PROPN
iajs-317	154	6	البحث	البحث	PROPN
iajs-317	154	7	في	في	PART
iajs-317	154	8	:	:	PUNCT
iajs-317	154	9	الخالصة	الخالصة	PROPN
iajs-317	154	10	،	،	PROPN
iajs-317	154	11	ودرسنا	ودرسنا	PROPN
iajs-317	154	12	العالقة	العالقة	PROPN
iajs-317	154	13	بينه	بينه	PROPN
iajs-317	154	14	وبين	وبين	ADV
iajs-317	154	15	انواع	انواع	PROPN
iajs-317	154	16	اخرى	اخرى	VERB
iajs-317	154	17	من	من	PRON
iajs-317	154	18	الفضاءات	الفضاءات	NOUN
iajs-317	154	19	.	.	PUNCT
iajs-317	155	1	ودرسنا	ودرسنا	X
iajs-317	155	2	*	*	PUNCT
iajs-317	155	3	*	*	PUNCT
iajs-317	155	4	bg	bg	PROPN
iajs-317	155	5	–	–	PUNCT
iajs-317	155	6	في	في	ADP
iajs-317	155	7	ھذا	ھذا	NOUN
iajs-317	155	8	البحث	البحث	PROPN
iajs-317	155	9	قمنا	قمنا	ADV
iajs-317	155	10	بتعريف	بتعريف	PROPN
iajs-317	155	11	الفضاء	الفضاء	PROPN
iajs-317	155	12	المترابط	المترابط	PROPN
iajs-317	155	13	،	،	PROPN
iajs-317	155	14	الفضاءات	الفضاءات	PROPN
iajs-317	155	15	b	b	X
iajs-317	155	16	-	-	PUNCT
iajs-317	155	17	بعض	بعض	NOUN
iajs-317	155	18	االنواع	االنواع	NOUN
iajs-317	155	19	من	من	PRON
iajs-317	155	20	الدوال	الدوال	PROPN
iajs-317	155	21	المستمرة	المستمرة	PROPN
iajs-317	155	22	ايضا	ايضا	PROPN
iajs-317	155	23	ودرسنا	ودرسنا	PROPN
iajs-317	155	24	العالقة	العالقة	PROPN
iajs-317	156	1	بين	بين	VERB
iajs-317	156	2	(	(	PUNCT
iajs-317	156	3	الفضاءات	الفضاءات	PROPN
iajs-317	156	4	المترابطة	المترابطة	PROPN
iajs-317	156	5	،	،	PROPN
iajs-317	156	6	الفضاءات	الفضاءات	PROPN
iajs-317	156	7	المترابطة	المترابطة	PROPN
iajs-317	156	8	)	)	PUNCT
iajs-317	156	9	تحت	تحت	NOUN
iajs-317	156	10	تأثير	تأثير	NOUN
iajs-317	156	11	تلك	تلك	VERB
iajs-317	156	12	االنواع	االنواع	PROPN
iajs-317	156	13	من	من	PRON
iajs-317	156	14	الدوال	الدوال	PROPN
iajs-317	156	15	المستمرة	المستمرة	NOUN
iajs-317	156	16	.	.	PUNCT
iajs-317	157	1	*	*	PUNCT
iajs-317	157	2	*	*	PUNCT
iajs-317	157	3	bg	bg	NOUN
iajs-317	157	4	-	-	PUNCT
iajs-317	157	5	والفضاءات	والفضاءات	NOUN
iajs-317	157	6	المترابطة	المترابطة	PROPN
iajs-317	157	7	bg	bg	PROPN
iajs-317	157	8	المترابطة	المترابطة	PROPN
iajs-317	157	9	.	.	PUNCT
iajs-317	158	1	*	*	PUNCT
iajs-317	158	2	*	*	PUNCT
iajs-317	158	3	bg	bg	NOUN
iajs-317	158	4	-	-	PUNCT
iajs-317	158	5	،	،	NOUN
iajs-317	158	6	الفضاء	الفضاء	NOUN
iajs-317	158	7	المترابط	المترابط	NOUN
iajs-317	158	8	*	*	PROPN
iajs-317	158	9	*	*	NOUN
iajs-317	158	10	bg	bg	PROPN
iajs-317	158	11	-	-	PUNCT
iajs-317	158	12	:	:	PUNCT
iajs-317	158	13	المجموعة	المجموعة	ADJ
iajs-317	158	14	المغلقةالكلمات	المغلقةالكلمات	VERB
iajs-317	158	15	المفتاحية	المفتاحية	NOUN