id	sid	tid	token	lemma	pos
iajs-684	1	1	مجلة	مجلة	VERB
iajs-684	1	2	إبن	إبن	VERB
iajs-684	1	3	الھیثم	الھیثم	NOUN
iajs-684	1	4	للعلوم	للعلوم	NOUN
iajs-684	1	5	الصرفة	الصرفة	NOUN
iajs-684	1	6	و	و	PRON
iajs-684	1	7	التطبیقیة	التطبیقیة	PROPN
iajs-684	1	8	2012	2012	NUM
iajs-684	1	9	السنة	السنة	NOUN
iajs-684	1	10	25	25	NUM
iajs-684	1	11	المجلد	المجلد	NOUN
iajs-684	1	12	1	1	NUM
iajs-684	1	13	العدد	العدد	PROPN
iajs-684	1	14	ibn	ibn	PROPN
iajs-684	1	15	al	al	PROPN
iajs-684	1	16	-	-	PUNCT
iajs-684	1	17	haitham	haitham	PROPN
iajs-684	1	18	journal	journal	PROPN
iajs-684	1	19	for	for	ADP
iajs-684	1	20	pure	pure	ADJ
iajs-684	1	21	and	and	CCONJ
iajs-684	1	22	applied	apply	VERB
iajs-684	1	23	science	science	NOUN
iajs-684	1	24	no	no	NOUN
iajs-684	1	25	.	.	NOUN
iajs-684	1	26	1	1	NUM
iajs-684	1	27	vol	vol	NOUN
iajs-684	1	28	.	.	PUNCT
iajs-684	2	1	25	25	NUM
iajs-684	2	2	year	year	NOUN
iajs-684	2	3	2012	2012	NUM
iajs-684	2	4	مجموعات	مجموعات	ADJ
iajs-684	2	5	مفتوحة	مفتوحة	NOUN
iajs-684	2	6	من	من	ADP
iajs-684	2	7	النوع	النوع	PROPN
iajs-684	2	8	l	l	NOUN
iajs-684	2	9	-	-	ADJ
iajs-684	2	10	pre	pre	ADJ
iajs-684	2	11	and	and	CCONJ
iajs-684	2	12	l	l	NOUN
iajs-684	2	13	-	-	PUNCT
iajs-684	2	14	semi	semi	ADJ
iajs-684	2	15	-	-	ADJ
iajs-684	2	16	p	p	ADJ
iajs-684	2	17	جاسم	جاسم	NOUN
iajs-684	2	18	سعاد	سعاد	NOUN
iajs-684	2	19	جدعان	جدعان	NOUN
iajs-684	2	20	د	د	PROPN
iajs-684	2	21	،	،	NOUN
iajs-684	2	22	إبن	إبن	VERB
iajs-684	2	23	الهیثم	الهیثم	ADJ
iajs-684	2	24	-	-	PUNCT
iajs-684	2	25	كلیة	كلیة	ADJ
iajs-684	2	26	التربیة	التربیة	NOUN
iajs-684	2	27	،	،	NOUN
iajs-684	2	28	قسم	قسم	PROPN
iajs-684	2	29	الریاضیات	الریاضیات	PROPN
iajs-684	2	30	جامعة	جامعة	PROPN
iajs-684	2	31	بغدا	بغدا	PROPN
iajs-684	2	32	2011	2011	NUM
iajs-684	2	33	آب	آب	ADP
iajs-684	2	34	8	8	NUM
iajs-684	2	35	:	:	PUNCT
iajs-684	2	36	قبل	قبل	NOUN
iajs-684	2	37	البحث	البحث	NOUN
iajs-684	2	38	في	في	ADP
iajs-684	2	39	2010	2010	NUM
iajs-684	2	40	تشرین	تشرین	NOUN
iajs-684	2	41	الثاني	الثاني	PROPN
iajs-684	2	42	24	24	NUM
iajs-684	2	43	:	:	PUNCT
iajs-684	2	44	استلم	استلم	PROPN
iajs-684	2	45	البحث	البحث	VERB
iajs-684	2	46	في	في	ADP
iajs-684	2	47	الخالصة	الخالصة	PROPN
iajs-684	2	48	.	.	PUNCT
iajs-684	3	1	لمفتوحة	لمفتوحة	VERB
iajs-684	4	1	في	في	DET
iajs-684	4	2	الفضاءات	الفضاءات	PROPN
iajs-684	4	3	التبولوجیة	التبولوجیة	PROPN
iajs-684	4	4	الثنائیة	الثنائیة	PROPN
iajs-684	4	5	الغرض	الغرض	PROPN
iajs-684	4	6	من	من	PROPN
iajs-684	4	7	هذا	هذا	PROPN
iajs-684	4	8	البحث	البحث	PROPN
iajs-684	4	9	دراسة	دراسة	PROPN
iajs-684	4	10	انواع	انواع	PROPN
iajs-684	5	1	جدیدة	جدیدة	PROPN
iajs-684	5	2	من	من	PROPN
iajs-684	5	3	المجموعات	المجموعات	PROPN
iajs-684	5	4	ا	ا	PRON
iajs-684	5	5	مجلة	مجلة	PROPN
iajs-684	5	6	إبن	إبن	NOUN
iajs-684	5	7	الھیثم	الھیثم	NOUN
iajs-684	5	8	للعلوم	للعلوم	NOUN
iajs-684	5	9	الصرفة	الصرفة	NOUN
iajs-684	5	10	و	و	PRON
iajs-684	5	11	التطبیقیة	التطبیقیة	PROPN
iajs-684	5	12	2012	2012	NUM
iajs-684	5	13	السنة	السنة	NOUN
iajs-684	6	1	25	25	NUM
iajs-684	6	2	المجلد	المجلد	NOUN
iajs-684	6	3	1	1	NUM
iajs-684	6	4	العدد	العدد	PROPN
iajs-684	6	5	ibn	ibn	PROPN
iajs-684	6	6	al	al	PROPN
iajs-684	6	7	-	-	PUNCT
iajs-684	6	8	haitham	haitham	PROPN
iajs-684	6	9	journal	journal	PROPN
iajs-684	6	10	for	for	ADP
iajs-684	6	11	pure	pure	ADJ
iajs-684	6	12	and	and	CCONJ
iajs-684	6	13	applied	apply	VERB
iajs-684	6	14	science	science	NOUN
iajs-684	6	15	no	no	NOUN
iajs-684	6	16	.	.	NOUN
iajs-684	6	17	1	1	NUM
iajs-684	6	18	vol	vol	NOUN
iajs-684	6	19	.	.	PUNCT
iajs-684	7	1	25	25	NUM
iajs-684	7	2	year	year	NOUN
iajs-684	7	3	2012	2012	NUM
iajs-684	7	4	lpre	lpre	ADJ
iajs-684	7	5	-	-	ADJ
iajs-684	7	6	open	open	ADJ
iajs-684	7	7	and	and	CCONJ
iajs-684	7	8	l	l	NOUN
iajs-684	7	9	-	-	PUNCT
iajs-684	7	10	semi	semi	ADJ
iajs-684	7	11	-	-	ADJ
iajs-684	7	12	p	p	ADJ
iajs-684	7	13	-	-	PUNCT
iajs-684	7	14	open	open	ADJ
iajs-684	7	15	sets	set	NOUN
iajs-684	7	16	s.	s.	PROPN
iajs-684	7	17	g.	g.	PROPN
iajs-684	7	18	gasim	gasim	PROPN
iajs-684	7	19	department	department	PROPN
iajs-684	7	20	of	of	ADP
iajs-684	7	21	mathematics	mathematics	PROPN
iajs-684	7	22	,	,	PUNCT
iajs-684	7	23	college	college	NOUN
iajs-684	7	24	of	of	ADP
iajs-684	7	25	education	education	PROPN
iajs-684	7	26	ibn	ibn	PROPN
iajs-684	7	27	-	-	PUNCT
iajs-684	7	28	al	al	PROPN
iajs-684	7	29	-	-	PUNCT
iajs-684	7	30	haitham	haitham	PROPN
iajs-684	7	31	,	,	PUNCT
iajs-684	7	32	university	university	PROPN
iajs-684	7	33	of	of	ADP
iajs-684	7	34	baghdad	baghdad	PROPN
iajs-684	7	35	received	receive	VERB
iajs-684	7	36	in	in	ADP
iajs-684	7	37	:	:	PUNCT
iajs-684	7	38	24	24	NUM
iajs-684	7	39	november	november	PROPN
iajs-684	7	40	2010	2010	NUM
iajs-684	7	41	accepted	accept	VERB
iajs-684	7	42	in	in	ADP
iajs-684	7	43	:	:	PUNCT
iajs-684	7	44	8	8	NUM
iajs-684	7	45	february	february	NOUN
iajs-684	7	46	2011	2011	NUM
iajs-684	7	47	abstract	abstract	NOUN
iajs-684	7	48	the	the	DET
iajs-684	7	49	purpose	purpose	NOUN
iajs-684	7	50	of	of	ADP
iajs-684	7	51	this	this	DET
iajs-684	7	52	paper	paper	NOUN
iajs-684	7	53	is	be	AUX
iajs-684	7	54	to	to	PART
iajs-684	7	55	study	study	VERB
iajs-684	7	56	new	new	ADJ
iajs-684	7	57	types	type	NOUN
iajs-684	7	58	of	of	ADP
iajs-684	7	59	open	open	ADJ
iajs-684	7	60	sets	set	NOUN
iajs-684	7	61	in	in	ADP
iajs-684	7	62	bitopological	bitopological	ADJ
iajs-684	7	63	spaces	space	NOUN
iajs-684	7	64	.	.	PUNCT
iajs-684	8	1	we	we	PRON
iajs-684	8	2	shall	shall	AUX
iajs-684	8	3	introduce	introduce	VERB
iajs-684	8	4	the	the	DET
iajs-684	8	5	concepts	concept	NOUN
iajs-684	8	6	of	of	ADP
iajs-684	8	7	lpre	lpre	ADJ
iajs-684	8	8	-	-	ADJ
iajs-684	8	9	open	open	ADJ
iajs-684	8	10	and	and	CCONJ
iajs-684	8	11	l	l	NOUN
iajs-684	8	12	-	-	PUNCT
iajs-684	8	13	semi	semi	ADJ
iajs-684	8	14	-	-	ADJ
iajs-684	8	15	p	p	ADJ
iajs-684	8	16	-	-	PUNCT
iajs-684	8	17	open	open	ADJ
iajs-684	8	18	sets	set	NOUN
iajs-684	8	19	.	.	PUNCT
iajs-684	9	1	keywords	keyword	NOUN
iajs-684	9	2	:	:	PUNCT
iajs-684	9	3	preopenset	preopenset	VERB
iajs-684	9	4	,	,	PUNCT
iajs-684	9	5	semipopen	semipopen	NOUN
iajs-684	9	6	set	set	NOUN
iajs-684	9	7	,	,	PUNCT
iajs-684	9	8	l	l	NOUN
iajs-684	9	9	-	-	ADJ
iajs-684	9	10	pre	pre	ADJ
iajs-684	9	11	-	-	ADJ
iajs-684	9	12	open	open	ADJ
iajs-684	9	13	,	,	PUNCT
iajs-684	9	14	l	l	NOUN
iajs-684	9	15	-	-	PUNCT
iajs-684	9	16	semi	semi	ADJ
iajs-684	9	17	-	-	ADJ
iajs-684	9	18	p	p	ADJ
iajs-684	9	19	-	-	PUNCT
iajs-684	9	20	open	open	ADJ
iajs-684	9	21	1	1	NUM
iajs-684	9	22	-	-	PUNCT
iajs-684	9	23	introduction	introduction	NOUN
iajs-684	9	24	navalagi	navalagi	ADJ
iajs-684	9	25	[	[	X
iajs-684	9	26	1	1	NUM
iajs-684	9	27	]	]	PUNCT
iajs-684	9	28	introduced	introduce	VERB
iajs-684	9	29	the	the	DET
iajs-684	9	30	concepts	concept	NOUN
iajs-684	9	31	of	of	ADP
iajs-684	9	32	p	p	NOUN
iajs-684	9	33	re	re	VERB
iajs-684	9	34	-	-	ADJ
iajs-684	9	35	open	open	ADJ
iajs-684	9	36	and	and	CCONJ
iajs-684	9	37	semi	semi	ADJ
iajs-684	9	38	-	-	ADJ
iajs-684	9	39	p	p	ADJ
iajs-684	9	40	-	-	PUNCT
iajs-684	9	41	open	open	ADJ
iajs-684	9	42	sets	set	NOUN
iajs-684	9	43	.	.	PUNCT
iajs-684	10	1	a	a	DET
iajs-684	10	2	subset	subset	NOUN
iajs-684	10	3	a	a	PRON
iajs-684	10	4	of	of	ADP
iajs-684	10	5	a	a	DET
iajs-684	10	6	topological	topological	ADJ
iajs-684	10	7	space	space	NOUN
iajs-684	10	8			NOUN
iajs-684	10	9	,x	,x	X
iajs-684	10	10	is	be	AUX
iajs-684	10	11	said	say	VERB
iajs-684	10	12	to	to	PART
iajs-684	10	13	be	be	AUX
iajs-684	10	14	“	"	PUNCT
iajs-684	10	15	pre	pre	ADJ
iajs-684	10	16	-	-	ADJ
iajs-684	10	17	open	open	ADJ
iajs-684	10	18	”	"	PUNCT
iajs-684	10	19	set	set	VERB
iajs-684	10	20	if	if	SCONJ
iajs-684	10	21	and	and	CCONJ
iajs-684	10	22	only	only	ADV
iajs-684	10	23	if	if	SCONJ
iajs-684	10	24			NOUN
iajs-684	10	25	acla	acla	NOUN
iajs-684	10	26	int	int	PROPN
iajs-684	10	27	,	,	PUNCT
iajs-684	10	28	the	the	DET
iajs-684	10	29	family	family	NOUN
iajs-684	10	30	of	of	ADP
iajs-684	10	31	all	all	PRON
iajs-684	10	32	pre	pre	VERB
iajs-684	10	33	open	open	ADJ
iajs-684	10	34	subsets	subset	NOUN
iajs-684	10	35	of	of	ADP
iajs-684	10	36	x	x	PROPN
iajs-684	10	37	is	be	AUX
iajs-684	10	38	denoted	denote	VERB
iajs-684	10	39	by	by	ADP
iajs-684	10	40	po(x).the	po(x).the	DET
iajs-684	10	41	complement	complement	NOUN
iajs-684	10	42	of	of	ADP
iajs-684	10	43	a	a	DET
iajs-684	10	44	pre	pre	ADJ
iajs-684	10	45	-	-	ADJ
iajs-684	10	46	open	open	ADJ
iajs-684	10	47	set	set	NOUN
iajs-684	10	48	is	be	AUX
iajs-684	10	49	called	call	VERB
iajs-684	10	50	pre	pre	ADJ
iajs-684	10	51	-	-	ADJ
iajs-684	10	52	closed	closed	ADJ
iajs-684	10	53	set	set	NOUN
iajs-684	10	54	,	,	PUNCT
iajs-684	10	55	the	the	DET
iajs-684	10	56	family	family	NOUN
iajs-684	10	57	of	of	ADP
iajs-684	10	58	all	all	DET
iajs-684	10	59	preclosed	preclose	VERB
iajs-684	10	60	subsets	subset	NOUN
iajs-684	10	61	of	of	ADP
iajs-684	10	62	x	x	PROPN
iajs-684	10	63	is	be	AUX
iajs-684	10	64	denoted	denote	VERB
iajs-684	10	65	by	by	ADP
iajs-684	10	66	pc(x	pc(x	NOUN
iajs-684	10	67	)	)	PUNCT
iajs-684	11	1	[	[	X
iajs-684	11	2	1].the	1].the	DET
iajs-684	11	3	smallest	small	ADJ
iajs-684	11	4	preclosed	preclose	VERB
iajs-684	11	5	subset	subset	NOUN
iajs-684	11	6	of	of	ADP
iajs-684	11	7	x	x	PUNCT
iajs-684	11	8	containing	contain	VERB
iajs-684	11	9	a	a	PRON
iajs-684	11	10	is	be	AUX
iajs-684	11	11	called	call	VERB
iajs-684	11	12	“	"	PUNCT
iajs-684	11	13	pre	pre	NOUN
iajs-684	11	14	-	-	NOUN
iajs-684	11	15	closure	closure	NOUN
iajs-684	11	16	of	of	ADP
iajs-684	11	17	a	a	PRON
iajs-684	11	18	”	"	PUNCT
iajs-684	11	19	and	and	CCONJ
iajs-684	11	20	is	be	AUX
iajs-684	11	21	denoted	denote	VERB
iajs-684	11	22	by	by	ADP
iajs-684	11	23	pre	pre	NOUN
iajs-684	11	24	-	-	NOUN
iajs-684	11	25	cl(a)[2	cl(a)[2	X
iajs-684	11	26	]	]	PUNCT
iajs-684	11	27	.	.	PUNCT
iajs-684	12	1	let	let	VERB
iajs-684	12	2			NOUN
iajs-684	12	3	,x	,x	X
iajs-684	12	4	be	be	AUX
iajs-684	12	5	a	a	DET
iajs-684	12	6	topological	topological	ADJ
iajs-684	12	7	space	space	NOUN
iajs-684	12	8	,	,	PUNCT
iajs-684	12	9	a	a	DET
iajs-684	12	10	subset	subset	NOUN
iajs-684	12	11	a	a	PRON
iajs-684	12	12	of	of	ADP
iajs-684	12	13	x	x	SYM
iajs-684	12	14	is	be	AUX
iajs-684	12	15	said	say	VERB
iajs-684	12	16	to	to	PART
iajs-684	12	17	be	be	AUX
iajs-684	12	18	“	"	PUNCT
iajs-684	12	19	semi	semi	ADJ
iajs-684	12	20	-	-	ADJ
iajs-684	12	21	p	p	ADJ
iajs-684	12	22	-	-	PUNCT
iajs-684	12	23	open	open	ADJ
iajs-684	12	24	”	"	PUNCT
iajs-684	12	25	set	set	VERB
iajs-684	12	26	if	if	SCONJ
iajs-684	12	27	and	and	CCONJ
iajs-684	12	28	only	only	ADV
iajs-684	12	29	if	if	SCONJ
iajs-684	12	30	there	there	PRON
iajs-684	12	31	exists	exist	VERB
iajs-684	12	32	a	a	DET
iajs-684	12	33	pre	pre	ADJ
iajs-684	12	34	-	-	ADJ
iajs-684	12	35	open	open	ADJ
iajs-684	12	36	subset	subset	ADJ
iajs-684	12	37	u	u	NOUN
iajs-684	12	38	of	of	ADP
iajs-684	12	39	x	x	SYM
iajs-684	12	40	such	such	ADJ
iajs-684	12	41	that	that	DET
iajs-684	12	42			ADJ
iajs-684	12	43	uclpreau	uclpreau	VERB
iajs-684	12	44			NUM
iajs-684	12	45	,	,	PUNCT
iajs-684	12	46	the	the	DET
iajs-684	12	47	family	family	NOUN
iajs-684	12	48	of	of	ADP
iajs-684	12	49	all	all	DET
iajs-684	12	50	semi	semi	ADJ
iajs-684	12	51	–	–	PUNCT
iajs-684	12	52	p	p	ADJ
iajs-684	12	53	-	-	PUNCT
iajs-684	12	54	open	open	ADJ
iajs-684	12	55	subsets	subset	NOUN
iajs-684	12	56	of	of	ADP
iajs-684	12	57	x	x	PROPN
iajs-684	12	58	is	be	AUX
iajs-684	12	59	denoted	denote	VERB
iajs-684	12	60	by	by	ADP
iajs-684	12	61	spo(x).the	spo(x).the	DET
iajs-684	12	62	complement	complement	NOUN
iajs-684	12	63	of	of	ADP
iajs-684	12	64	a	a	DET
iajs-684	12	65	semi	semi	ADJ
iajs-684	12	66	-	-	ADJ
iajs-684	12	67	p	p	ADJ
iajs-684	12	68	-	-	PUNCT
iajs-684	12	69	open	open	ADJ
iajs-684	12	70	set	set	NOUN
iajs-684	12	71	is	be	AUX
iajs-684	12	72	called	call	VERB
iajs-684	12	73	“	"	PUNCT
iajs-684	12	74	semi	semi	ADJ
iajs-684	12	75	-	-	ADJ
iajs-684	12	76	p	p	ADJ
iajs-684	12	77	-	-	PUNCT
iajs-684	12	78	closed	closed	ADJ
iajs-684	12	79	”	"	PUNCT
iajs-684	12	80	set	set	NOUN
iajs-684	12	81	,	,	PUNCT
iajs-684	12	82	the	the	DET
iajs-684	12	83	family	family	NOUN
iajs-684	12	84	of	of	ADP
iajs-684	12	85	all	all	DET
iajs-684	12	86	semi	semi	ADJ
iajs-684	12	87	-	-	ADJ
iajs-684	12	88	p	p	ADJ
iajs-684	12	89	-	-	PUNCT
iajs-684	12	90	closed	closed	ADJ
iajs-684	12	91	subsets	subset	NOUN
iajs-684	12	92	of	of	ADP
iajs-684	12	93	x	x	PROPN
iajs-684	12	94	is	be	AUX
iajs-684	12	95	denoted	denote	VERB
iajs-684	12	96	by	by	ADP
iajs-684	12	97	spc(x	spc(x	PROPN
iajs-684	12	98	)	)	PUNCT
iajs-684	12	99	.	.	PUNCT
iajs-684	13	1	the	the	DET
iajs-684	13	2	smallest	small	ADJ
iajs-684	13	3	semi	semi	ADJ
iajs-684	13	4	-	-	ADJ
iajs-684	13	5	p	p	ADJ
iajs-684	13	6	-	-	PUNCT
iajs-684	13	7	closed	close	VERB
iajs-684	13	8	set	set	NOUN
iajs-684	13	9	containing	contain	VERB
iajs-684	13	10	a	a	PRON
iajs-684	13	11	is	be	AUX
iajs-684	13	12	called	call	VERB
iajs-684	13	13	semi	semi	ADJ
iajs-684	13	14	-	-	ADJ
iajs-684	13	15	p	p	ADJ
iajs-684	13	16	-	-	PUNCT
iajs-684	13	17	closure	closure	NOUN
iajs-684	13	18	of	of	ADP
iajs-684	13	19	a	a	DET
iajs-684	13	20	denoted	denote	VERB
iajs-684	13	21	by	by	ADP
iajs-684	13	22	semi	semi	ADJ
iajs-684	13	23	-	-	ADJ
iajs-684	13	24	p	p	ADJ
iajs-684	13	25	-	-	PUNCT
iajs-684	13	26	cl(a)[3].[2]shows	cl(a)[3].[2]show	NOUN
iajs-684	13	27	that	that	SCONJ
iajs-684	13	28	every	every	DET
iajs-684	13	29	open	open	ADJ
iajs-684	13	30	set	set	NOUN
iajs-684	13	31	is	be	AUX
iajs-684	13	32	a	a	DET
iajs-684	13	33	pre	pre	ADJ
iajs-684	13	34	-	-	ADJ
iajs-684	13	35	open	open	ADJ
iajs-684	13	36	and	and	CCONJ
iajs-684	13	37	the	the	DET
iajs-684	13	38	union	union	NOUN
iajs-684	13	39	of	of	ADP
iajs-684	13	40	any	any	DET
iajs-684	13	41	family	family	NOUN
iajs-684	13	42	of	of	ADP
iajs-684	13	43	preopen	preopen	ADJ
iajs-684	13	44	subsets	subset	NOUN
iajs-684	13	45	of	of	ADP
iajs-684	13	46	x	x	X
iajs-684	13	47	is	be	AUX
iajs-684	13	48	a	a	DET
iajs-684	13	49	pre	pre	ADJ
iajs-684	13	50	-	-	ADJ
iajs-684	13	51	open	open	ADJ
iajs-684	13	52	set	set	NOUN
iajs-684	13	53	,	,	PUNCT
iajs-684	13	54	but	but	CCONJ
iajs-684	13	55	the	the	DET
iajs-684	13	56	intersection	intersection	NOUN
iajs-684	13	57	of	of	ADP
iajs-684	13	58	any	any	DET
iajs-684	13	59	two	two	NUM
iajs-684	13	60	pre	pre	ADJ
iajs-684	13	61	-	-	ADJ
iajs-684	13	62	open	open	ADJ
iajs-684	13	63	subsets	subset	NOUN
iajs-684	13	64	of	of	ADP
iajs-684	13	65	x	x	PUNCT
iajs-684	13	66	need	need	AUX
iajs-684	13	67	not	not	PART
iajs-684	13	68	be	be	AUX
iajs-684	13	69	apre	apre	ADJ
iajs-684	13	70	-	-	ADJ
iajs-684	13	71	open	open	ADJ
iajs-684	13	72	set.[3	set.[3	NOUN
iajs-684	13	73	]	]	PUNCT
iajs-684	14	1	shows	show	VERB
iajs-684	14	2	that	that	SCONJ
iajs-684	14	3	every	every	DET
iajs-684	14	4	pre	pre	ADJ
iajs-684	14	5	-	-	ADJ
iajs-684	14	6	open	open	ADJ
iajs-684	14	7	set	set	NOUN
iajs-684	14	8	is	be	AUX
iajs-684	14	9	a	a	DET
iajs-684	14	10	semi	semi	ADJ
iajs-684	14	11	–	–	PUNCT
iajs-684	14	12	p	p	NOUN
iajs-684	14	13	-	-	PUNCT
iajs-684	14	14	open	open	ADJ
iajs-684	14	15	and	and	CCONJ
iajs-684	14	16	consequentiy	consequentiy	VERB
iajs-684	14	17	every	every	DET
iajs-684	14	18	open	open	ADJ
iajs-684	14	19	set	set	NOUN
iajs-684	14	20	is	be	AUX
iajs-684	14	21	a	a	DET
iajs-684	14	22	semi	semi	ADJ
iajs-684	14	23	-	-	ADJ
iajs-684	14	24	p	p	ADJ
iajs-684	14	25	-	-	NOUN
iajs-684	14	26	open	open	ADJ
iajs-684	14	27	.	.	PUNCT
iajs-684	15	1	also	also	ADV
iajs-684	15	2	she	she	PRON
iajs-684	15	3	shows	show	VERB
iajs-684	15	4	that	that	SCONJ
iajs-684	15	5	the	the	DET
iajs-684	15	6	union	union	NOUN
iajs-684	15	7	of	of	ADP
iajs-684	15	8	any	any	DET
iajs-684	15	9	family	family	NOUN
iajs-684	15	10	of	of	ADP
iajs-684	15	11	semi	semi	ADJ
iajs-684	15	12	-	-	ADJ
iajs-684	15	13	p	p	ADJ
iajs-684	15	14	-	-	PUNCT
iajs-684	15	15	open	open	ADJ
iajs-684	15	16	subsets	subset	NOUN
iajs-684	15	17	of	of	ADP
iajs-684	15	18	x	x	X
iajs-684	15	19	is	be	AUX
iajs-684	15	20	a	a	DET
iajs-684	15	21	semi	semi	ADJ
iajs-684	15	22	-	-	ADJ
iajs-684	15	23	p	p	ADJ
iajs-684	15	24	-	-	PUNCT
iajs-684	15	25	open	open	NOUN
iajs-684	15	26	set	set	NOUN
iajs-684	15	27	,	,	PUNCT
iajs-684	15	28	but	but	CCONJ
iajs-684	15	29	the	the	DET
iajs-684	15	30	intersection	intersection	NOUN
iajs-684	15	31	of	of	ADP
iajs-684	15	32	any	any	DET
iajs-684	15	33	two	two	NUM
iajs-684	15	34	semi	semi	ADJ
iajs-684	15	35	-	-	ADJ
iajs-684	15	36	p	p	ADJ
iajs-684	15	37	-	-	PUNCT
iajs-684	15	38	open	open	ADJ
iajs-684	15	39	subsets	subset	NOUN
iajs-684	15	40	of	of	ADP
iajs-684	15	41	x	x	PUNCT
iajs-684	15	42	need	need	AUX
iajs-684	15	43	not	not	PART
iajs-684	15	44	be	be	AUX
iajs-684	15	45	a	a	DET
iajs-684	15	46	semi	semi	ADJ
iajs-684	15	47	-	-	ADJ
iajs-684	15	48	p	p	ADJ
iajs-684	15	49	-	-	PUNCT
iajs-684	15	50	open	open	ADJ
iajs-684	15	51	set	set	NOUN
iajs-684	15	52	.	.	PUNCT
iajs-684	16	1	the	the	DET
iajs-684	16	2	concepts	concept	NOUN
iajs-684	16	3	of	of	ADP
iajs-684	16	4	bitopological	bitopological	ADJ
iajs-684	16	5	space	space	NOUN
iajs-684	16	6	was	be	AUX
iajs-684	16	7	initiated	initiate	VERB
iajs-684	16	8	by	by	ADP
iajs-684	16	9	kelly[4].a	kelly[4].a	PROPN
iajs-684	16	10	set	set	NOUN
iajs-684	16	11	x	x	PUNCT
iajs-684	16	12	equipped	equip	VERB
iajs-684	16	13	with	with	ADP
iajs-684	16	14	two	two	NUM
iajs-684	16	15	topologies	topology	NOUN
iajs-684	16	16	and	and	PROPN
iajs-684	16	17	2	2	NUM
iajs-684	16	18	is	be	AUX
iajs-684	16	19	called	call	VERB
iajs-684	16	20	a	a	DET
iajs-684	16	21	bitopological	bitopological	ADJ
iajs-684	16	22	space	space	NOUN
iajs-684	16	23	denoted	denote	VERB
iajs-684	16	24	by	by	ADP
iajs-684	16	25	.	.	PUNCT
iajs-684	17	1	l	l	VERB
iajs-684	17	2	-	-	ADJ
iajs-684	17	3	open	open	ADJ
iajs-684	17	4	set	set	NOUN
iajs-684	17	5	was	be	AUX
iajs-684	17	6	studied	study	VERB
iajs-684	17	7	by	by	ADP
iajs-684	17	8	al	al	PROPN
iajs-684	17	9	-	-	PROPN
iajs-684	17	10	swid[5	swid[5	PROPN
iajs-684	17	11	]	]	PUNCT
iajs-684	17	12	,	,	PUNCT
iajs-684	17	13	asubset	asubset	VERB
iajs-684	17	14	g	g	NOUN
iajs-684	17	15	of	of	ADP
iajs-684	17	16	a	a	DET
iajs-684	17	17	bitopological	bitopological	ADJ
iajs-684	17	18	space	space	NOUN
iajs-684	17	19	is	be	AUX
iajs-684	17	20	said	say	VERB
iajs-684	17	21	to	to	PART
iajs-684	17	22	be	be	AUX
iajs-684	17	23	“	"	PUNCT
iajs-684	17	24	l	l	NOUN
iajs-684	17	25	–	–	PUNCT
iajs-684	17	26	open	open	ADJ
iajs-684	17	27	”	"	PUNCT
iajs-684	17	28	set	set	VERB
iajs-684	17	29	if	if	SCONJ
iajs-684	17	30	and	and	CCONJ
iajs-684	17	31	only	only	ADV
iajs-684	17	32	if	if	SCONJ
iajs-684	17	33	there	there	PRON
iajs-684	17	34	exists	exist	VERB
iajs-684	17	35	a	a	DET
iajs-684	17	36	-open	-open	ADJ
iajs-684	17	37	set	set	VERB
iajs-684	17	38	u	u	NOUN
iajs-684	17	39	such	such	ADJ
iajs-684	17	40	that	that	SCONJ
iajs-684	17	41			PROPN
iajs-684	17	42	uclgu	uclgu	PROPN
iajs-684	17	43	2	2	NUM
iajs-684	17	44	,	,	PUNCT
iajs-684	17	45	the	the	DET
iajs-684	17	46	family	family	NOUN
iajs-684	17	47	of	of	ADP
iajs-684	17	48	all	all	DET
iajs-684	17	49	l	l	ADJ
iajs-684	17	50	-	-	ADJ
iajs-684	17	51	open	open	ADJ
iajs-684	17	52	subsets	subset	NOUN
iajs-684	17	53	of	of	ADP
iajs-684	17	54	x	x	PROPN
iajs-684	17	55	is	be	AUX
iajs-684	17	56	denoted	denote	VERB
iajs-684	17	57	by	by	ADP
iajs-684	17	58	l	l	NOUN
iajs-684	17	59	-	-	ADJ
iajs-684	17	60	o(x).the	o(x).the	PRON
iajs-684	17	61	complement	complement	NOUN
iajs-684	17	62	of	of	ADP
iajs-684	17	63	an	an	DET
iajs-684	17	64	l	l	NOUN
iajs-684	17	65	-	-	ADJ
iajs-684	17	66	open	open	ADJ
iajs-684	17	67	set	set	NOUN
iajs-684	17	68	is	be	AUX
iajs-684	17	69	called	call	VERB
iajs-684	17	70	“	"	PUNCT
iajs-684	17	71	l	l	NOUN
iajs-684	17	72	-	-	ADJ
iajs-684	17	73	closed	closed	ADJ
iajs-684	17	74	”	"	PUNCT
iajs-684	17	75	set	set	NOUN
iajs-684	17	76	,	,	PUNCT
iajs-684	17	77	the	the	DET
iajs-684	17	78	family	family	NOUN
iajs-684	17	79	of	of	ADP
iajs-684	17	80	all	all	DET
iajs-684	17	81	l	l	ADJ
iajs-684	17	82	-	-	ADJ
iajs-684	17	83	closed	closed	ADJ
iajs-684	17	84	subsets	subset	NOUN
iajs-684	17	85	of	of	ADP
iajs-684	17	86	x	x	PROPN
iajs-684	17	87	is	be	AUX
iajs-684	17	88	denoted	denote	VERB
iajs-684	17	89	by	by	ADP
iajs-684	17	90	l	l	NOUN
iajs-684	17	91	-	-	VERB
iajs-684	17	92	c(x).in	c(x).in	VERB
iajs-684	17	93	a	a	DET
iajs-684	17	94	bitopological	bitopological	ADJ
iajs-684	17	95	space	space	NOUN
iajs-684	17	96	every	every	DET
iajs-684	17	97	-open	-open	NOUN
iajs-684	17	98	set	set	NOUN
iajs-684	17	99	is	be	AUX
iajs-684	17	100	an	an	DET
iajs-684	17	101	l	l	NOUN
iajs-684	17	102	-	-	ADJ
iajs-684	17	103	open	open	VERB
iajs-684	17	104	set[5].the	set[5].the	DET
iajs-684	17	105	union	union	NOUN
iajs-684	17	106	of	of	ADP
iajs-684	17	107	any	any	DET
iajs-684	17	108	family	family	NOUN
iajs-684	17	109	of	of	ADP
iajs-684	17	110	l	l	ADJ
iajs-684	17	111	-	-	ADJ
iajs-684	17	112	open	open	ADJ
iajs-684	17	113	subsets	subset	NOUN
iajs-684	17	114	of	of	ADP
iajs-684	17	115	x	x	X
iajs-684	17	116	is	be	AUX
iajs-684	17	117	an	an	DET
iajs-684	17	118	l	l	NOUN
iajs-684	17	119	-	-	ADJ
iajs-684	17	120	open	open	ADJ
iajs-684	17	121	set	set	NOUN
iajs-684	17	122	,	,	PUNCT
iajs-684	17	123	but	but	CCONJ
iajs-684	17	124	the	the	DET
iajs-684	17	125	intersection	intersection	NOUN
iajs-684	17	126	of	of	ADP
iajs-684	17	127	any	any	DET
iajs-684	17	128	two	two	NUM
iajs-684	17	129	l	l	ADJ
iajs-684	17	130	-	-	ADJ
iajs-684	17	131	open	open	ADJ
iajs-684	17	132	subsets	subset	NOUN
iajs-684	17	133	of	of	ADP
iajs-684	17	134	x	x	PUNCT
iajs-684	17	135	need	need	AUX
iajs-684	17	136	not	not	PART
iajs-684	17	137	be	be	AUX
iajs-684	17	138	l	l	NOUN
iajs-684	17	139	-	-	ADJ
iajs-684	17	140	open	open	ADJ
iajs-684	17	141	set[5].al	set[5].al	PROPN
iajs-684	17	142	-	-	PUNCT
iajs-684	17	143	talkahny	talkahny	NOUN
iajs-684	18	1	[	[	X
iajs-684	18	2	6],introduces	6],introduces	NUM
iajs-684	18	3	two	two	NUM
iajs-684	18	4	new	new	ADJ
iajs-684	18	5	concepts	concept	NOUN
iajs-684	18	6	“	"	PUNCT
iajs-684	18	7	l2	l2	VERB
iajs-684	18	8	t	t	NOUN
iajs-684	18	9	-spaces	-space	NOUN
iajs-684	18	10	”	"	PUNCT
iajs-684	18	11	and	and	CCONJ
iajs-684	18	12	“	"	PUNCT
iajs-684	18	13	l	l	ADJ
iajs-684	18	14	-	-	ADJ
iajs-684	18	15	continuous	continuous	ADJ
iajs-684	18	16	functions	function	NOUN
iajs-684	18	17	”	"	PUNCT
iajs-684	18	18	.	.	PUNCT
iajs-684	19	1	a	a	DET
iajs-684	19	2	bitopological	bitopological	ADJ
iajs-684	19	3	space	space	NOUN
iajs-684	19	4	is	be	AUX
iajs-684	19	5	مجلة	مجلة	VERB
iajs-684	19	6	إبن	إبن	NOUN
iajs-684	19	7	الھیثم	الھیثم	NOUN
iajs-684	19	8	للعلوم	للعلوم	NOUN
iajs-684	19	9	الصرفة	الصرفة	NOUN
iajs-684	19	10	و	و	PRON
iajs-684	19	11	التطبیقیة	التطبیقیة	PROPN
iajs-684	19	12	2012	2012	NUM
iajs-684	19	13	السنة	السنة	NOUN
iajs-684	20	1	25	25	NUM
iajs-684	20	2	المجلد	المجلد	NOUN
iajs-684	20	3	1	1	NUM
iajs-684	20	4	العدد	العدد	PROPN
iajs-684	20	5	ibn	ibn	PROPN
iajs-684	20	6	al	al	PROPN
iajs-684	20	7	-	-	PUNCT
iajs-684	20	8	haitham	haitham	PROPN
iajs-684	20	9	journal	journal	PROPN
iajs-684	20	10	for	for	ADP
iajs-684	20	11	pure	pure	ADJ
iajs-684	20	12	and	and	CCONJ
iajs-684	20	13	applied	apply	VERB
iajs-684	20	14	science	science	NOUN
iajs-684	20	15	no	no	NOUN
iajs-684	20	16	.	.	NOUN
iajs-684	20	17	1	1	NUM
iajs-684	20	18	vol	vol	NOUN
iajs-684	20	19	.	.	PUNCT
iajs-684	21	1	25	25	NUM
iajs-684	21	2	year	year	NOUN
iajs-684	21	3	2012	2012	NUM
iajs-684	21	4	said	say	VERB
iajs-684	21	5	to	to	PART
iajs-684	21	6	be	be	AUX
iajs-684	21	7	“	"	PUNCT
iajs-684	21	8	l2	l2	NOUN
iajs-684	21	9	t	t	NOUN
iajs-684	21	10	-space	-space	NOUN
iajs-684	21	11	”	"	PUNCT
iajs-684	21	12	if	if	SCONJ
iajs-684	21	13	and	and	CCONJ
iajs-684	21	14	only	only	ADV
iajs-684	21	15	if	if	SCONJ
iajs-684	21	16	for	for	ADP
iajs-684	21	17	each	each	DET
iajs-684	21	18	pair	pair	NOUN
iajs-684	21	19	of	of	ADP
iajs-684	21	20	distinct	distinct	ADJ
iajs-684	21	21	points	point	NOUN
iajs-684	21	22	x	x	PUNCT
iajs-684	21	23	and	and	CCONJ
iajs-684	21	24	y	y	PROPN
iajs-684	21	25	in	in	ADP
iajs-684	21	26	x	x	PRON
iajs-684	21	27	,	,	PUNCT
iajs-684	21	28	there	there	PRON
iajs-684	21	29	exists	exist	VERB
iajs-684	21	30	two	two	NUM
iajs-684	21	31	disjoint	disjoint	ADJ
iajs-684	21	32	l	l	ADJ
iajs-684	21	33	-	-	ADJ
iajs-684	21	34	open	open	ADJ
iajs-684	21	35	subsets	subset	NOUN
iajs-684	21	36	g	g	PROPN
iajs-684	21	37	and	and	CCONJ
iajs-684	21	38	h	h	NOUN
iajs-684	21	39	of	of	ADP
iajs-684	21	40	x	x	INTJ
iajs-684	21	41	such	such	ADJ
iajs-684	21	42	that	that	SCONJ
iajs-684	21	43	gx	gx	VERB
iajs-684	21	44	and	and	CCONJ
iajs-684	21	45	hy	hy	NOUN
iajs-684	21	46	.let	.let	PUNCT
iajs-684	22	1			NOUN
iajs-684	22	2			NOUN
iajs-684	22	3	21	21	NUM
iajs-684	22	4	,	,	PUNCT
iajs-684	22	5	,	,	PUNCT
iajs-684	22	6	x	x	SYM
iajs-684	22	7	,	,	PUNCT
iajs-684	22	8			PROPN
iajs-684	22	9			NOUN
iajs-684	22	10			PRON
iajs-684	22	11			PROPN
iajs-684	22	12			PROPN
iajs-684	22	13			NOUN
iajs-684	22	14			PROPN
iajs-684	22	15			NOUN
iajs-684	22	16	21	21	NUM
iajs-684	22	17	,	,	PUNCT
iajs-684	22	18	,	,	PUNCT
iajs-684	22	19	y	y	PROPN
iajs-684	22	20	be	be	VERB
iajs-684	22	21	any	any	DET
iajs-684	22	22	bitopological	bitopological	ADJ
iajs-684	22	23	spaces	space	NOUN
iajs-684	22	24	and	and	CCONJ
iajs-684	22	25	let	let	VERB
iajs-684	22	26	yxf	yxf	PRON
iajs-684	22	27			NOUN
iajs-684	22	28	:	:	PUNCT
iajs-684	22	29	be	be	AUX
iajs-684	22	30	any	any	DET
iajs-684	22	31	function	function	NOUN
iajs-684	22	32	,	,	PUNCT
iajs-684	22	33	then	then	ADV
iajs-684	22	34	f	f	PROPN
iajs-684	22	35	is	be	AUX
iajs-684	22	36	said	say	VERB
iajs-684	22	37	to	to	PART
iajs-684	22	38	be	be	AUX
iajs-684	22	39	“	"	PUNCT
iajs-684	22	40	l	l	ADJ
iajs-684	22	41	-	-	ADJ
iajs-684	22	42	continuous	continuous	ADJ
iajs-684	22	43	”	"	PUNCT
iajs-684	22	44	function	function	NOUN
iajs-684	22	45	if	if	SCONJ
iajs-684	22	46	and	and	CCONJ
iajs-684	22	47	only	only	ADV
iajs-684	22	48	if	if	SCONJ
iajs-684	22	49	the	the	DET
iajs-684	22	50	inverse	inverse	ADJ
iajs-684	22	51	image	image	NOUN
iajs-684	22	52	of	of	ADP
iajs-684	22	53	any	any	DET
iajs-684	22	54	l	l	NOUN
iajs-684	22	55	-	-	ADJ
iajs-684	22	56	open	open	ADJ
iajs-684	22	57	subset	subset	NOUN
iajs-684	22	58	of	of	ADP
iajs-684	22	59	y	y	PROPN
iajs-684	22	60	is	be	AUX
iajs-684	22	61	an	an	DET
iajs-684	22	62	l	l	NOUN
iajs-684	22	63	-	-	ADJ
iajs-684	22	64	open	open	ADJ
iajs-684	22	65	subset	subset	NOUN
iajs-684	22	66	of	of	ADP
iajs-684	22	67	x.	x.	PROPN
iajs-684	22	68	2l	2l	NUM
iajs-684	22	69	-	-	PUNCT
iajs-684	22	70	pre	pre	VERB
iajs-684	22	71	open	open	ADJ
iajs-684	22	72	and	and	CCONJ
iajs-684	22	73	l	l	NOUN
iajs-684	22	74	-	-	PUNCT
iajs-684	22	75	semi	semi	ADJ
iajs-684	22	76	-	-	ADJ
iajs-684	22	77	popen	popen	ADJ
iajs-684	22	78	sets	set	NOUN
iajs-684	22	79	definition	definition	NOUN
iajs-684	22	80	2.1	2.1	NUM
iajs-684	22	81	let	let	VERB
iajs-684	22	82	be	be	AUX
iajs-684	22	83	a	a	DET
iajs-684	22	84	bitopological	bitopological	ADJ
iajs-684	22	85	space	space	NOUN
iajs-684	22	86	and	and	CCONJ
iajs-684	22	87	let	let	VERB
iajs-684	22	88	g	g	PRON
iajs-684	22	89	be	be	AUX
iajs-684	22	90	a	a	DET
iajs-684	22	91	subset	subset	NOUN
iajs-684	22	92	of	of	ADP
iajs-684	22	93	x.	x.	NOUN
iajs-684	22	94	then	then	ADV
iajs-684	22	95	g	g	PROPN
iajs-684	22	96	is	be	AUX
iajs-684	22	97	said	say	VERB
iajs-684	22	98	to	to	PART
iajs-684	22	99	be	be	AUX
iajs-684	22	100	:	:	PUNCT
iajs-684	22	101	1	1	NUM
iajs-684	22	102	“	"	PUNCT
iajs-684	22	103	l	l	NOUN
iajs-684	22	104	-	-	ADJ
iajs-684	22	105	pre	pre	ADJ
iajs-684	22	106	-	-	ADJ
iajs-684	22	107	open	open	ADJ
iajs-684	22	108	”	"	PUNCT
iajs-684	22	109	set	set	VERB
iajs-684	22	110	if	if	SCONJ
iajs-684	22	111	and	and	CCONJ
iajs-684	22	112	only	only	ADV
iajs-684	22	113	if	if	SCONJ
iajs-684	22	114	there	there	PRON
iajs-684	22	115	exists	exist	VERB
iajs-684	22	116	a	a	DET
iajs-684	22	117	-pre	-pre	ADV
iajs-684	22	118	-	-	PUNCT
iajs-684	22	119	open	open	ADJ
iajs-684	22	120	set	set	VERB
iajs-684	22	121	u	u	PRON
iajs-684	22	122	such	such	ADJ
iajs-684	22	123	that	that	SCONJ
iajs-684	22	124			PROPN
iajs-684	22	125	uclgu	uclgu	PROPN
iajs-684	22	126	2	2	NUM
iajs-684	22	127	.the	.the	DET
iajs-684	22	128	family	family	NOUN
iajs-684	22	129	of	of	ADP
iajs-684	22	130	all	all	DET
iajs-684	22	131	l	l	NOUN
iajs-684	22	132	-	-	ADJ
iajs-684	22	133	pre	pre	ADJ
iajs-684	22	134	-	-	ADJ
iajs-684	22	135	open	open	ADJ
iajs-684	22	136	sub	sub	NOUN
iajs-684	22	137	sets	set	NOUN
iajs-684	22	138	of	of	ADP
iajs-684	22	139	x	x	SYM
iajs-684	22	140	is	be	AUX
iajs-684	22	141	denoted	denote	VERB
iajs-684	22	142	by	by	ADP
iajs-684	22	143	.	.	PUNCT
iajs-684	23	1	2	2	NUM
iajs-684	23	2	“	"	PUNCT
iajs-684	23	3	l	l	NOUN
iajs-684	23	4	-	-	PUNCT
iajs-684	23	5	semi	semi	ADJ
iajs-684	23	6	-	-	ADJ
iajs-684	23	7	p	p	ADJ
iajs-684	23	8	-	-	PUNCT
iajs-684	23	9	open	open	ADJ
iajs-684	23	10	”	"	PUNCT
iajs-684	23	11	set	set	VERB
iajs-684	23	12	if	if	SCONJ
iajs-684	23	13	and	and	CCONJ
iajs-684	23	14	only	only	ADV
iajs-684	23	15	if	if	SCONJ
iajs-684	23	16	there	there	PRON
iajs-684	23	17	exists	exist	VERB
iajs-684	23	18	a	a	DET
iajs-684	23	19	semi	semi	ADJ
iajs-684	23	20	-	-	ADJ
iajs-684	23	21	p	p	ADJ
iajs-684	23	22	-	-	PUNCT
iajs-684	23	23	open	open	NOUN
iajs-684	23	24	setu	setu	NOUN
iajs-684	24	1	such	such	ADJ
iajs-684	24	2	that	that	SCONJ
iajs-684	24	3			PROPN
iajs-684	24	4	uclgu	uclgu	PROPN
iajs-684	24	5	2	2	NUM
iajs-684	24	6	.the	.the	DET
iajs-684	24	7	family	family	NOUN
iajs-684	24	8	of	of	ADP
iajs-684	24	9	all	all	DET
iajs-684	24	10	lsemi	lsemi	NOUN
iajs-684	24	11	-	-	PUNCT
iajs-684	24	12	p	p	NOUN
iajs-684	24	13	-	-	PUNCT
iajs-684	24	14	open	open	ADJ
iajs-684	24	15	sub	sub	NOUN
iajs-684	24	16	sets	set	NOUN
iajs-684	24	17	of	of	ADP
iajs-684	24	18	x	x	SYM
iajs-684	24	19	is	be	AUX
iajs-684	24	20	denoted	denote	VERB
iajs-684	24	21	by	by	ADP
iajs-684	24	22	.	.	PUNCT
iajs-684	25	1	remark(2.2	remark(2.2	NOUN
iajs-684	25	2	):	):	PUNCT
iajs-684	25	3	1the	1the	PROPN
iajs-684	25	4	complement	complement	NOUN
iajs-684	25	5	of	of	ADP
iajs-684	25	6	an	an	DET
iajs-684	25	7	l	l	NOUN
iajs-684	25	8	-	-	ADJ
iajs-684	25	9	pre	pre	ADJ
iajs-684	25	10	-	-	ADJ
iajs-684	25	11	open	open	ADJ
iajs-684	25	12	subset	subset	NOUN
iajs-684	25	13	of	of	ADP
iajs-684	25	14	a	a	DET
iajs-684	25	15	bitopological	bitopological	ADJ
iajs-684	25	16	space	space	NOUN
iajs-684	25	17	x	x	PUNCT
iajs-684	25	18	is	be	AUX
iajs-684	25	19	called	call	VERB
iajs-684	25	20	an	an	DET
iajs-684	25	21	lpre	lpre	ADJ
iajs-684	25	22	-	-	PUNCT
iajs-684	25	23	closed	closed	ADJ
iajs-684	25	24	set	set	NOUN
iajs-684	25	25	.	.	PUNCT
iajs-684	26	1	the	the	DET
iajs-684	26	2	family	family	NOUN
iajs-684	26	3	of	of	ADP
iajs-684	26	4	all	all	DET
iajs-684	26	5	lpre	lpre	ADJ
iajs-684	26	6	-	-	ADJ
iajs-684	26	7	closed	closed	ADJ
iajs-684	26	8	sub	sub	NOUN
iajs-684	26	9	sets	set	NOUN
iajs-684	26	10	of	of	ADP
iajs-684	26	11	x	x	SYM
iajs-684	26	12	is	be	AUX
iajs-684	26	13	denoted	denote	VERB
iajs-684	26	14	by	by	ADP
iajs-684	26	15	.	.	PUNCT
iajs-684	27	1	2the	2the	DET
iajs-684	27	2	complement	complement	NOUN
iajs-684	27	3	of	of	ADP
iajs-684	27	4	an	an	DET
iajs-684	27	5	l	l	NOUN
iajs-684	27	6	-	-	PUNCT
iajs-684	27	7	semi	semi	ADJ
iajs-684	27	8	-	-	ADJ
iajs-684	27	9	p	p	ADJ
iajs-684	27	10	-	-	PUNCT
iajs-684	27	11	open	open	ADJ
iajs-684	27	12	sub	sub	NOUN
iajs-684	27	13	set	set	NOUN
iajs-684	27	14	of	of	ADP
iajs-684	27	15	a	a	DET
iajs-684	27	16	bitopological	bitopological	ADJ
iajs-684	27	17	space	space	NOUN
iajs-684	27	18	x	x	PUNCT
iajs-684	27	19	is	be	AUX
iajs-684	27	20	called	call	VERB
iajs-684	27	21	an	an	DET
iajs-684	27	22	l	l	NOUN
iajs-684	27	23	-	-	PUNCT
iajs-684	27	24	semi	semi	ADJ
iajs-684	27	25	-	-	ADJ
iajs-684	27	26	p	p	ADJ
iajs-684	27	27	-	-	PUNCT
iajs-684	27	28	closed	close	VERB
iajs-684	27	29	set	set	NOUN
iajs-684	27	30	.	.	PUNCT
iajs-684	28	1	the	the	DET
iajs-684	28	2	family	family	NOUN
iajs-684	28	3	of	of	ADP
iajs-684	28	4	all	all	DET
iajs-684	28	5	lsemi	lsemi	NOUN
iajs-684	28	6	-	-	PUNCT
iajs-684	28	7	p	p	NOUN
iajs-684	28	8	-	-	PUNCT
iajs-684	28	9	closed	close	VERB
iajs-684	28	10	sub	sub	NOUN
iajs-684	28	11	sets	set	NOUN
iajs-684	28	12	of	of	ADP
iajs-684	28	13	x	x	SYM
iajs-684	28	14	is	be	AUX
iajs-684	28	15	denoted	denote	VERB
iajs-684	28	16	by	by	ADP
iajs-684	28	17	.	.	PUNCT
iajs-684	29	1	remark	remark	NOUN
iajs-684	29	2	(	(	PUNCT
iajs-684	29	3	2.3	2.3	NUM
iajs-684	29	4	):	):	PUNCT
iajs-684	29	5	in	in	ADP
iajs-684	29	6	a	a	DET
iajs-684	29	7	bitopological	bitopological	ADJ
iajs-684	29	8	space	space	NOUN
iajs-684	29	9	:	:	PUNCT
iajs-684	29	10	1every	1every	NUM
iajs-684	29	11	l	l	NOUN
iajs-684	29	12	-	-	ADJ
iajs-684	29	13	open	open	ADJ
iajs-684	29	14	set	set	NOUN
iajs-684	29	15	is	be	AUX
iajs-684	29	16	an	an	DET
iajs-684	29	17	lpre	lpre	ADJ
iajs-684	29	18	-	-	ADJ
iajs-684	29	19	open	open	ADJ
iajs-684	29	20	set	set	NOUN
iajs-684	29	21	.	.	PUNCT
iajs-684	30	1	2every	2every	NUM
iajs-684	30	2	l	l	NOUN
iajs-684	30	3	-	-	PUNCT
iajs-684	30	4	pre	pre	ADJ
iajs-684	30	5	-	-	ADJ
iajs-684	30	6	open	open	ADJ
iajs-684	30	7	set	set	NOUN
iajs-684	30	8	is	be	AUX
iajs-684	30	9	an	an	DET
iajs-684	30	10	l	l	NOUN
iajs-684	30	11	-	-	PUNCT
iajs-684	30	12	semi	semi	ADJ
iajs-684	30	13	-	-	ADJ
iajs-684	30	14	p	p	ADJ
iajs-684	30	15	-	-	PUNCT
iajs-684	30	16	open	open	ADJ
iajs-684	30	17	set	set	NOUN
iajs-684	30	18	.	.	PUNCT
iajs-684	31	1	3every	3every	NUM
iajs-684	31	2	l	l	NOUN
iajs-684	31	3	-	-	ADJ
iajs-684	31	4	open	open	ADJ
iajs-684	31	5	set	set	NOUN
iajs-684	31	6	is	be	AUX
iajs-684	31	7	an	an	DET
iajs-684	31	8	l	l	NOUN
iajs-684	31	9	-	-	PUNCT
iajs-684	31	10	semi	semi	ADJ
iajs-684	31	11	-	-	ADJ
iajs-684	31	12	p	p	ADJ
iajs-684	31	13	-	-	PUNCT
iajs-684	31	14	open	open	ADJ
iajs-684	31	15	set	set	NOUN
iajs-684	31	16	.	.	PUNCT
iajs-684	32	1	the	the	DET
iajs-684	32	2	converse	converse	NOUN
iajs-684	32	3	of	of	ADP
iajs-684	32	4	each	each	DET
iajs-684	32	5	case	case	NOUN
iajs-684	32	6	of	of	ADP
iajs-684	32	7	remark	remark	NOUN
iajs-684	32	8	(	(	PUNCT
iajs-684	32	9	2.3	2.3	NUM
iajs-684	32	10	)	)	PUNCT
iajs-684	32	11	is	be	AUX
iajs-684	32	12	not	not	PART
iajs-684	32	13	true	true	ADJ
iajs-684	32	14	in	in	ADP
iajs-684	32	15	general	general	ADJ
iajs-684	32	16	as	as	SCONJ
iajs-684	32	17	the	the	DET
iajs-684	32	18	following	follow	VERB
iajs-684	32	19	example	example	NOUN
iajs-684	32	20	shows	show	VERB
iajs-684	32	21	:	:	PUNCT
iajs-684	32	22	example	example	NOUN
iajs-684	32	23	(	(	PUNCT
iajs-684	32	24	2.4	2.4	NUM
iajs-684	32	25	):	):	PUNCT
iajs-684	32	26	let	let	VERB
iajs-684	32	27	=	=	PRON
iajs-684	32	28	the	the	DET
iajs-684	32	29	discrete	discrete	ADJ
iajs-684	32	30	topology	topology	NOUN
iajs-684	32	31	then	then	ADV
iajs-684	32	32			NOUN
iajs-684	32	33			SYM
iajs-684	32	34			NOUN
iajs-684	32	35			PUNCT
iajs-684	32	36			PROPN
iajs-684	32	37			PROPN
iajs-684	32	38			PROPN
iajs-684	33	1			PROPN
iajs-684	33	2			PROPN
iajs-684	33	3			PROPN
iajs-684	33	4			PROPN
iajs-684	33	5			PROPN
iajs-684	33	6			PROPN
iajs-684	33	7			NOUN
iajs-684	33	8			NOUN
iajs-684	33	9	dcadbacabacbxolxpol	dcadbacabacbxolxpol	NOUN
iajs-684	33	10	,	,	PUNCT
iajs-684	33	11	,	,	PUNCT
iajs-684	33	12	,	,	PUNCT
iajs-684	33	13	,	,	PUNCT
iajs-684	33	14	,	,	PUNCT
iajs-684	33	15	,	,	PUNCT
iajs-684	33	16	,	,	PUNCT
iajs-684	33	17	,	,	PUNCT
iajs-684	33	18	,	,	PUNCT
iajs-684	33	19	,	,	PUNCT
iajs-684	33	20	,	,	PUNCT
iajs-684	33	21			NOUN
iajs-684	33	22	مجلة	مجلة	NOUN
iajs-684	33	23	إبن	إبن	VERB
iajs-684	33	24	الھیثم	الھیثم	NOUN
iajs-684	33	25	للعلوم	للعلوم	NOUN
iajs-684	33	26	الصرفة	الصرفة	NOUN
iajs-684	33	27	و	و	PRON
iajs-684	33	28	التطبیقیة	التطبیقیة	PROPN
iajs-684	33	29	2012	2012	NUM
iajs-684	33	30	السنة	السنة	NOUN
iajs-684	34	1	25	25	NUM
iajs-684	34	2	المجلد	المجلد	NOUN
iajs-684	34	3	1	1	NUM
iajs-684	34	4	العدد	العدد	PROPN
iajs-684	34	5	ibn	ibn	PROPN
iajs-684	34	6	al	al	PROPN
iajs-684	34	7	-	-	PUNCT
iajs-684	34	8	haitham	haitham	PROPN
iajs-684	34	9	journal	journal	PROPN
iajs-684	34	10	for	for	ADP
iajs-684	34	11	pure	pure	ADJ
iajs-684	34	12	and	and	CCONJ
iajs-684	34	13	applied	apply	VERB
iajs-684	34	14	science	science	NOUN
iajs-684	34	15	no	no	NOUN
iajs-684	34	16	.	.	NOUN
iajs-684	34	17	1	1	NUM
iajs-684	34	18	vol	vol	NOUN
iajs-684	34	19	.	.	PUNCT
iajs-684	35	1	25	25	NUM
iajs-684	35	2	year	year	NOUN
iajs-684	35	3	2012	2012	NUM
iajs-684	35	4	note	note	VERB
iajs-684	35	5	that	that	SCONJ
iajs-684	35	6	,	,	PUNCT
iajs-684	35	7	is	be	AUX
iajs-684	35	8	an	an	DET
iajs-684	35	9	l	l	NOUN
iajs-684	35	10	-	-	ADJ
iajs-684	35	11	pre	pre	ADJ
iajs-684	35	12	-	-	ADJ
iajs-684	35	13	open	open	ADJ
iajs-684	35	14	set	set	NOUN
iajs-684	35	15	,	,	PUNCT
iajs-684	35	16	but	but	CCONJ
iajs-684	35	17	it	it	PRON
iajs-684	35	18	is	be	AUX
iajs-684	35	19	not	not	PART
iajs-684	35	20	lopen	lopen	ADJ
iajs-684	35	21	.	.	PUNCT
iajs-684	36	1	and	and	CCONJ
iajs-684	36	2	is	be	AUX
iajs-684	36	3	an	an	DET
iajs-684	36	4	l	l	NOUN
iajs-684	36	5	-	-	PUNCT
iajs-684	36	6	semi	semi	ADJ
iajs-684	36	7	-	-	ADJ
iajs-684	36	8	p	p	ADJ
iajs-684	36	9	-	-	PUNCT
iajs-684	36	10	open	open	NOUN
iajs-684	36	11	set	set	NOUN
iajs-684	36	12	but	but	CCONJ
iajs-684	36	13	it	it	PRON
iajs-684	36	14	is	be	AUX
iajs-684	36	15	neither	neither	CCONJ
iajs-684	36	16	l	l	NOUN
iajs-684	36	17	-	-	ADJ
iajs-684	36	18	pre	pre	ADJ
iajs-684	36	19	-	-	ADJ
iajs-684	36	20	open	open	ADJ
iajs-684	36	21	nor	nor	CCONJ
iajs-684	36	22	l	l	NOUN
iajs-684	36	23	-	-	ADJ
iajs-684	36	24	open	open	ADJ
iajs-684	36	25	.	.	PUNCT
iajs-684	37	1	remark(2.5	remark(2.5	PROPN
iajs-684	37	2	)	)	PUNCT
iajs-684	37	3	in	in	ADP
iajs-684	37	4	a	a	DET
iajs-684	37	5	bitopological	bitopological	ADJ
iajs-684	37	6	space	space	NOUN
iajs-684	37	7	:	:	PUNCT
iajs-684	37	8	1every	1every	NUM
iajs-684	37	9	-pre	-pre	X
iajs-684	37	10	-	-	PUNCT
iajs-684	37	11	open	open	ADJ
iajs-684	37	12	set	set	NOUN
iajs-684	37	13	is	be	AUX
iajs-684	37	14	an	an	DET
iajs-684	37	15	l	l	NOUN
iajs-684	37	16	-	-	ADJ
iajs-684	37	17	pre	pre	ADJ
iajs-684	37	18	-	-	ADJ
iajs-684	37	19	open	open	ADJ
iajs-684	37	20	set	set	NOUN
iajs-684	37	21	.	.	PUNCT
iajs-684	38	1	2every	2every	ADJ
iajs-684	38	2	-semip	-semip	NOUN
iajs-684	38	3	-	-	PUNCT
iajs-684	38	4	open	open	ADJ
iajs-684	38	5	set	set	NOUN
iajs-684	38	6	is	be	AUX
iajs-684	38	7	an	an	DET
iajs-684	38	8	l	l	NOUN
iajs-684	38	9	-	-	PUNCT
iajs-684	38	10	semi	semi	ADJ
iajs-684	38	11	-	-	ADJ
iajs-684	38	12	p	p	ADJ
iajs-684	38	13	-	-	PUNCT
iajs-684	38	14	open	open	ADJ
iajs-684	38	15	set	set	NOUN
iajs-684	38	16	.	.	PUNCT
iajs-684	39	1	the	the	DET
iajs-684	39	2	opposite	opposite	ADJ
iajs-684	39	3	direction	direction	NOUN
iajs-684	39	4	of	of	ADP
iajs-684	39	5	each	each	DET
iajs-684	39	6	case	case	NOUN
iajs-684	39	7	in	in	ADP
iajs-684	39	8	remark	remark	NOUN
iajs-684	39	9	(	(	PUNCT
iajs-684	39	10	2.5	2.5	NUM
iajs-684	39	11	)	)	PUNCT
iajs-684	39	12	is	be	AUX
iajs-684	39	13	not	not	PART
iajs-684	39	14	true	true	ADJ
iajs-684	39	15	in	in	ADP
iajs-684	39	16	general	general	ADJ
iajs-684	39	17	,	,	PUNCT
iajs-684	39	18	as	as	SCONJ
iajs-684	39	19	the	the	DET
iajs-684	39	20	following	follow	VERB
iajs-684	39	21	example	example	NOUN
iajs-684	39	22	shows	show	VERB
iajs-684	39	23	:	:	PUNCT
iajs-684	39	24	example	example	NOUN
iajs-684	39	25	(	(	PUNCT
iajs-684	39	26	2.6	2.6	NUM
iajs-684	39	27	):	):	PUNCT
iajs-684	39	28	let	let	VERB
iajs-684	39	29	=	=	PRON
iajs-684	39	30	the	the	DET
iajs-684	39	31	indiscrete	indiscrete	ADJ
iajs-684	39	32	topology	topology	NOUN
iajs-684	39	33			NOUN
iajs-684	40	1			PUNCT
iajs-684	40	2			PROPN
iajs-684	40	3			PROPN
iajs-684	40	4			PROPN
iajs-684	40	5			PROPN
iajs-684	40	6			PROPN
iajs-684	40	7			PROPN
iajs-684	40	8			PROPN
iajs-684	40	9			PROPN
iajs-684	40	10			PROPN
iajs-684	40	11			PROPN
iajs-684	40	12			PROPN
iajs-684	40	13			PROPN
iajs-684	40	14			PROPN
iajs-684	40	15			ADV
iajs-684	40	16			ADV
iajs-684	40	17	cbadcadbacabacbaxxpo	cbadcadbacabacbaxxpo	VERB
iajs-684	40	18	,	,	PUNCT
iajs-684	40	19	,	,	PUNCT
iajs-684	40	20	.,,,,,,,,,,,,,,1	.,,,,,,,,,,,,,,1	PROPN
iajs-684	40	21			PROPN
iajs-684	40	22			NOUN
iajs-684	40	23			NOUN
iajs-684	40	24			PUNCT
iajs-684	40	25			NOUN
iajs-684	40	26			PUNCT
iajs-684	41	1			PROPN
iajs-684	41	2			PROPN
iajs-684	41	3			PROPN
iajs-684	41	4			PROPN
iajs-684	41	5			PROPN
iajs-684	41	6			PROPN
iajs-684	41	7			PROPN
iajs-684	41	8			NOUN
iajs-684	41	9	dcbdcdbdaxpoxpol	dcbdcdbdaxpoxpol	NOUN
iajs-684	41	10	,	,	PUNCT
iajs-684	41	11	,	,	PUNCT
iajs-684	41	12	,	,	PUNCT
iajs-684	41	13	,	,	PUNCT
iajs-684	41	14	,	,	PUNCT
iajs-684	41	15	,	,	PUNCT
iajs-684	41	16	,	,	PUNCT
iajs-684	41	17	,	,	PUNCT
iajs-684	41	18	1	1	NUM
iajs-684	41	19			NOUN
iajs-684	41	20			NOUN
iajs-684	41	21			NOUN
iajs-684	41	22			SYM
iajs-684	41	23			NOUN
iajs-684	42	1	xpolxspol	xpolxspol	NOUN
iajs-684	42	2			PROPN
iajs-684	42	3	note	note	VERB
iajs-684	42	4	that	that	SCONJ
iajs-684	42	5	,	,	PUNCT
iajs-684	42	6			PROPN
iajs-684	42	7	da	da	PROPN
iajs-684	42	8	,	,	PUNCT
iajs-684	42	9	is	be	AUX
iajs-684	42	10	an	an	DET
iajs-684	42	11	l	l	NOUN
iajs-684	42	12	-	-	ADJ
iajs-684	42	13	pre	pre	ADJ
iajs-684	42	14	-	-	ADJ
iajs-684	42	15	open	open	ADJ
iajs-684	42	16	set	set	NOUN
iajs-684	42	17	,	,	PUNCT
iajs-684	42	18	but	but	CCONJ
iajs-684	42	19	it	it	PRON
iajs-684	42	20	is	be	AUX
iajs-684	42	21	not	not	PART
iajs-684	42	22	-preopen	-preopen	ADJ
iajs-684	42	23	.	.	PUNCT
iajs-684	43	1	and	and	CCONJ
iajs-684	43	2	is	be	AUX
iajs-684	43	3	an	an	DET
iajs-684	43	4	l	l	NOUN
iajs-684	43	5	-	-	PUNCT
iajs-684	43	6	semi	semi	ADJ
iajs-684	43	7	-	-	ADJ
iajs-684	43	8	popen	popen	ADJ
iajs-684	43	9	set	set	NOUN
iajs-684	44	1	but	but	CCONJ
iajs-684	44	2	it	it	PRON
iajs-684	44	3	is	be	AUX
iajs-684	44	4	not	not	PART
iajs-684	44	5	–	–	PUNCT
iajs-684	44	6	semi	semi	ADJ
iajs-684	44	7	-	-	ADJ
iajs-684	44	8	p	p	ADJ
iajs-684	44	9	-	-	PUNCT
iajs-684	44	10	open	open	ADJ
iajs-684	44	11	.	.	PUNCT
iajs-684	45	1	proposition	proposition	NOUN
iajs-684	45	2	(	(	PUNCT
iajs-684	45	3	2.7	2.7	NUM
iajs-684	45	4	):	):	PUNCT
iajs-684	45	5	the	the	DET
iajs-684	45	6	union	union	NOUN
iajs-684	45	7	of	of	ADP
iajs-684	45	8	any	any	DET
iajs-684	45	9	family	family	NOUN
iajs-684	45	10	of	of	ADP
iajs-684	45	11	l	l	NOUN
iajs-684	45	12	-pre	-pre	X
iajs-684	45	13	-	-	PUNCT
iajs-684	45	14	open	open	ADJ
iajs-684	45	15	(	(	PUNCT
iajs-684	45	16	l	l	NOUN
iajs-684	45	17	-	-	PUNCT
iajs-684	45	18	semi	semi	ADJ
iajs-684	45	19	-	-	ADJ
iajs-684	45	20	p	p	ADJ
iajs-684	45	21	-	-	PUNCT
iajs-684	45	22	open	open	ADJ
iajs-684	45	23	)	)	PUNCT
iajs-684	45	24	subsets	subset	NOUN
iajs-684	45	25	of	of	ADP
iajs-684	45	26	a	a	DET
iajs-684	45	27	bitopological	bitopological	ADJ
iajs-684	45	28	space	space	NOUN
iajs-684	45	29	is	be	AUX
iajs-684	45	30	an	an	DET
iajs-684	45	31	l	l	NOUN
iajs-684	45	32	-pre	-pre	NOUN
iajs-684	45	33	-	-	PUNCT
iajs-684	45	34	open	open	ADJ
iajs-684	45	35	(	(	PUNCT
iajs-684	45	36	l	l	NOUN
iajs-684	45	37	-	-	PUNCT
iajs-684	45	38	semi	semi	ADJ
iajs-684	45	39	-	-	ADJ
iajs-684	45	40	p	p	ADJ
iajs-684	45	41	-	-	PUNCT
iajs-684	45	42	open	open	ADJ
iajs-684	45	43	)	)	PUNCT
iajs-684	45	44	respectively	respectively	ADV
iajs-684	45	45	.	.	PUNCT
iajs-684	46	1	proof	proof	NOUN
iajs-684	46	2	:	:	PUNCT
iajs-684	46	3	let	let	VERB
iajs-684	46	4			PRON
iajs-684	46	5			VERB
iajs-684	46	6			NOUN
iajs-684	46	7	:	:	PUNCT
iajs-684	46	8	g	g	NOUN
iajs-684	46	9	be	be	AUX
iajs-684	46	10	a	a	DET
iajs-684	46	11	family	family	NOUN
iajs-684	46	12	of	of	ADP
iajs-684	46	13	l	l	NOUN
iajs-684	46	14	-pre	-pre	X
iajs-684	46	15	-	-	PUNCT
iajs-684	46	16	open	open	ADJ
iajs-684	46	17	(	(	PUNCT
iajs-684	46	18	l	l	NOUN
iajs-684	46	19	-	-	PUNCT
iajs-684	46	20	semi	semi	ADJ
iajs-684	46	21	-	-	ADJ
iajs-684	46	22	p	p	ADJ
iajs-684	46	23	-	-	PUNCT
iajs-684	46	24	open	open	ADJ
iajs-684	46	25	)	)	PUNCT
iajs-684	46	26	subsets	subset	NOUN
iajs-684	46	27	of	of	ADP
iajs-684	46	28	x	x	PRON
iajs-684	46	29	,	,	PUNCT
iajs-684	46	30	then	then	ADV
iajs-684	46	31	for	for	ADP
iajs-684	46	32	each	each	DET
iajs-684	46	33	g	g	NOUN
iajs-684	46	34	there	there	PRON
iajs-684	46	35	exists	exist	VERB
iajs-684	46	36	a	a	DET
iajs-684	46	37	-pre	-pre	ADV
iajs-684	46	38	-	-	PUNCT
iajs-684	46	39	open	open	ADJ
iajs-684	46	40	(	(	PUNCT
iajs-684	46	41	-semip	-semip	NOUN
iajs-684	46	42	-	-	PUNCT
iajs-684	46	43	open	open	ADJ
iajs-684	46	44	)	)	PUNCT
iajs-684	46	45	set	set	VERB
iajs-684	46	46	u	u	PRON
iajs-684	46	47	in	in	ADP
iajs-684	46	48	x	x	X
iajs-684	46	49	such	such	ADJ
iajs-684	46	50	that	that	DET
iajs-684	46	51			ADJ
iajs-684	46	52	ugu	ugu	PROPN
iajs-684	46	53	cl	cl	NOUN
iajs-684	46	54			ADP
iajs-684	46	55			PROPN
iajs-684	46	56	2	2	NUM
iajs-684	46	57			ADJ
iajs-684	46	58	.so	.so	PUNCT
iajs-684	47	1			NOUN
iajs-684	47	2			PROPN
iajs-684	47	3			NOUN
iajs-684	47	4			NOUN
iajs-684	47	5			PROPN
iajs-684	47	6			PROPN
iajs-684	47	7			PROPN
iajs-684	47	8			NOUN
iajs-684	47	9			PROPN
iajs-684	47	10			ADJ
iajs-684	47	11	uugu	uugu	NOUN
iajs-684	47	12	clcl	clcl	NOUN
iajs-684	47	13			X
iajs-684	47	14			X
iajs-684	47	15			X
iajs-684	47	16			X
iajs-684	47	17			X
iajs-684	47	18			X
iajs-684	47	19			X
iajs-684	47	20			X
iajs-684	47	21			ADP
iajs-684	47	22			NOUN
iajs-684	47	23	22	22	NUM
iajs-684	47	24	.but	.but	NOUN
iajs-684	47	25	u	u	NOUN
iajs-684	47	26			NOUN
iajs-684	47	27			PRON
iajs-684	47	28			ADJ
iajs-684	47	29			PROPN
iajs-684	47	30	is	be	AUX
iajs-684	47	31	a	a	DET
iajs-684	47	32	-pre	-pre	ADV
iajs-684	47	33	-	-	PUNCT
iajs-684	47	34	open	open	ADJ
iajs-684	47	35	(	(	PUNCT
iajs-684	47	36	-semip	-semip	NOUN
iajs-684	47	37	-	-	PUNCT
iajs-684	47	38	open).hence	open).hence	NOUN
iajs-684	47	39	u	u	NOUN
iajs-684	47	40			NOUN
iajs-684	47	41			PRON
iajs-684	47	42			ADJ
iajs-684	47	43			PROPN
iajs-684	47	44	is	be	AUX
iajs-684	47	45	an	an	DET
iajs-684	47	46	l	l	NOUN
iajs-684	47	47	-pre	-pre	NOUN
iajs-684	47	48	-	-	PUNCT
iajs-684	47	49	open	open	ADJ
iajs-684	47	50	(	(	PUNCT
iajs-684	47	51	l	l	NOUN
iajs-684	47	52	-	-	PUNCT
iajs-684	47	53	semi	semi	ADJ
iajs-684	47	54	-	-	ADJ
iajs-684	47	55	p	p	ADJ
iajs-684	47	56	-	-	PUNCT
iajs-684	47	57	open	open	ADJ
iajs-684	47	58	)	)	PUNCT
iajs-684	47	59	respectively	respectively	ADV
iajs-684	47	60	.	.	PUNCT
iajs-684	48	1	remark	remark	NOUN
iajs-684	48	2	(	(	PUNCT
iajs-684	48	3	2.8	2.8	NUM
iajs-684	48	4	):	):	PUNCT
iajs-684	48	5	the	the	DET
iajs-684	48	6	intersection	intersection	NOUN
iajs-684	48	7	of	of	ADP
iajs-684	48	8	any	any	DET
iajs-684	48	9	two	two	NUM
iajs-684	48	10	l	l	NOUN
iajs-684	48	11	-pre	-pre	NOUN
iajs-684	48	12	-	-	PUNCT
iajs-684	48	13	open	open	ADJ
iajs-684	48	14	(	(	PUNCT
iajs-684	48	15	l	l	NOUN
iajs-684	48	16	-	-	PUNCT
iajs-684	48	17	semi	semi	ADJ
iajs-684	48	18	-	-	ADJ
iajs-684	48	19	p	p	ADJ
iajs-684	48	20	-	-	PUNCT
iajs-684	48	21	open	open	ADJ
iajs-684	48	22	)	)	PUNCT
iajs-684	48	23	sets	set	NOUN
iajs-684	48	24	need	need	AUX
iajs-684	48	25	not	not	PART
iajs-684	48	26	be	be	AUX
iajs-684	48	27	l	l	NOUN
iajs-684	48	28	-pre	-pre	X
iajs-684	48	29	-	-	PUNCT
iajs-684	48	30	open	open	ADJ
iajs-684	48	31	(	(	PUNCT
iajs-684	48	32	l	l	NOUN
iajs-684	48	33	-	-	PUNCT
iajs-684	48	34	semi	semi	ADJ
iajs-684	48	35	-	-	ADJ
iajs-684	48	36	p	p	ADJ
iajs-684	48	37	-	-	PUNCT
iajs-684	48	38	open	open	ADJ
iajs-684	48	39	)	)	PUNCT
iajs-684	48	40	respectively	respectively	ADV
iajs-684	48	41	.	.	PUNCT
iajs-684	49	1	for	for	ADP
iajs-684	49	2	example	example	NOUN
iajs-684	49	3	مجلة	مجلة	PROPN
iajs-684	49	4	إبن	إبن	VERB
iajs-684	49	5	الھیثم	الھیثم	NOUN
iajs-684	49	6	للعلوم	للعلوم	NOUN
iajs-684	49	7	الصرفة	الصرفة	NOUN
iajs-684	49	8	و	و	PRON
iajs-684	49	9	التطبیقیة	التطبیقیة	PROPN
iajs-684	49	10	2012	2012	NUM
iajs-684	49	11	السنة	السنة	NOUN
iajs-684	50	1	25	25	NUM
iajs-684	50	2	المجلد	المجلد	NOUN
iajs-684	50	3	1	1	NUM
iajs-684	50	4	العدد	العدد	PROPN
iajs-684	50	5	ibn	ibn	PROPN
iajs-684	50	6	al	al	PROPN
iajs-684	50	7	-	-	PUNCT
iajs-684	50	8	haitham	haitham	PROPN
iajs-684	50	9	journal	journal	PROPN
iajs-684	50	10	for	for	ADP
iajs-684	50	11	pure	pure	ADJ
iajs-684	50	12	and	and	CCONJ
iajs-684	50	13	applied	apply	VERB
iajs-684	50	14	science	science	NOUN
iajs-684	50	15	no	no	NOUN
iajs-684	50	16	.	.	NOUN
iajs-684	50	17	1	1	NUM
iajs-684	50	18	vol	vol	NOUN
iajs-684	50	19	.	.	PUNCT
iajs-684	51	1	25	25	NUM
iajs-684	51	2	year	year	NOUN
iajs-684	51	3	2012	2012	NUM
iajs-684	51	4	let	let	VERB
iajs-684	51	5			PRON
iajs-684	51	6			PROPN
iajs-684	51	7			PROPN
iajs-684	51	8			PROPN
iajs-684	51	9			PROPN
iajs-684	51	10			PROPN
iajs-684	51	11			PROPN
iajs-684	51	12			NOUN
iajs-684	51	13			PROPN
iajs-684	51	14			PROPN
iajs-684	51	15			NOUN
iajs-684	51	16	2,1	2,1	PROPN
iajs-684	51	17	,	,	PUNCT
iajs-684	51	18	,	,	PUNCT
iajs-684	51	19	4,1,4,1	4,1,4,1	NUM
iajs-684	51	20	,	,	PUNCT
iajs-684	51	21	,	,	PUNCT
iajs-684	51	22	4,3,2,1	4,3,2,1	NUM
iajs-684	51	23	2	2	NUM
iajs-684	51	24	1	1	NUM
iajs-684	51	25			NOUN
iajs-684	51	26			NOUN
iajs-684	51	27			NOUN
iajs-684	51	28			NOUN
iajs-684	51	29	x	x	NOUN
iajs-684	51	30	x	x	PUNCT
iajs-684	51	31	x	x	X
iajs-684	52	1			NOUN
iajs-684	52	2			NUM
iajs-684	52	3			NUM
iajs-684	52	4	note	note	NOUN
iajs-684	52	5	that	that	SCONJ
iajs-684	52	6			PROPN
iajs-684	52	7			NOUN
iajs-684	52	8	4,3,3,1	4,3,3,1	PROPN
iajs-684	52	9	are	be	AUX
iajs-684	52	10	two	two	NUM
iajs-684	52	11	l	l	NOUN
iajs-684	52	12	-pre	-pre	NOUN
iajs-684	52	13	-	-	PUNCT
iajs-684	52	14	open	open	ADJ
iajs-684	52	15	(	(	PUNCT
iajs-684	52	16	l	l	NOUN
iajs-684	52	17	-	-	PUNCT
iajs-684	52	18	semi	semi	ADJ
iajs-684	52	19	-	-	ADJ
iajs-684	52	20	p	p	ADJ
iajs-684	52	21	-	-	PUNCT
iajs-684	52	22	open	open	ADJ
iajs-684	52	23	)	)	PUNCT
iajs-684	52	24	sets	set	NOUN
iajs-684	52	25	,	,	PUNCT
iajs-684	52	26	but	but	CCONJ
iajs-684	52	27			PROPN
iajs-684	52	28			PROPN
iajs-684	52	29			PROPN
iajs-684	52	30			PROPN
iajs-684	52	31			PROPN
iajs-684	52	32	34,33,1	34,33,1	NOUN
iajs-684	52	33			NOUN
iajs-684	52	34	is	be	AUX
iajs-684	52	35	neither	neither	CCONJ
iajs-684	52	36	l	l	NOUN
iajs-684	52	37	-pre	-pre	NOUN
iajs-684	52	38	-	-	PUNCT
iajs-684	52	39	open	open	ADJ
iajs-684	52	40	nor	nor	CCONJ
iajs-684	52	41	l	l	NOUN
iajs-684	52	42	-	-	PUNCT
iajs-684	52	43	semi	semi	ADJ
iajs-684	52	44	-	-	ADJ
iajs-684	52	45	p	p	ADJ
iajs-684	52	46	-	-	PUNCT
iajs-684	52	47	open	open	ADJ
iajs-684	52	48	.	.	PUNCT
iajs-684	53	1	definition	definition	NOUN
iajs-684	53	2	(	(	PUNCT
iajs-684	53	3	2.9	2.9	NUM
iajs-684	53	4	):	):	PUNCT
iajs-684	53	5	let	let	VERB
iajs-684	53	6	be	be	AUX
iajs-684	53	7	abitopological	abitopological	ADJ
iajs-684	53	8	space	space	NOUN
iajs-684	53	9	and	and	CCONJ
iajs-684	53	10	let	let	VERB
iajs-684	53	11	xx	xx	PROPN
iajs-684	53	12	,	,	PUNCT
iajs-684	53	13	a	a	DET
iajs-684	53	14	subset	subset	NOUN
iajs-684	53	15	m	m	VERB
iajs-684	53	16	of	of	ADP
iajs-684	53	17	x	x	VERB
iajs-684	53	18	is	be	AUX
iajs-684	53	19	said	say	VERB
iajs-684	53	20	to	to	PART
iajs-684	53	21	be	be	AUX
iajs-684	53	22	:	:	PUNCT
iajs-684	53	23	1an	1an	ADJ
iajs-684	53	24	“	"	PUNCT
iajs-684	53	25	l	l	NOUN
iajs-684	53	26	-	-	ADJ
iajs-684	53	27	pre	pre	ADJ
iajs-684	53	28	-	-	NOUN
iajs-684	53	29	neighbourhood	neighbourhood	NOUN
iajs-684	53	30	”	"	PUNCT
iajs-684	53	31	of	of	ADP
iajs-684	53	32	x	x	PRON
iajs-684	53	33	if	if	SCONJ
iajs-684	53	34	and	and	CCONJ
iajs-684	53	35	only	only	ADV
iajs-684	53	36	if	if	SCONJ
iajs-684	53	37	there	there	PRON
iajs-684	53	38	exists	exist	VERB
iajs-684	53	39	an	an	DET
iajs-684	53	40	l	l	NOUN
iajs-684	53	41	-	-	ADJ
iajs-684	53	42	pre	pre	ADJ
iajs-684	53	43	-	-	ADJ
iajs-684	53	44	open	open	ADJ
iajs-684	53	45	set	set	NOUN
iajs-684	53	46	g	g	PROPN
iajs-684	53	47	such	such	ADJ
iajs-684	53	48	that	that	DET
iajs-684	53	49	mgx	mgx	NOUN
iajs-684	53	50			PROPN
iajs-684	53	51	2an	2an	ADJ
iajs-684	53	52	“	"	PUNCT
iajs-684	53	53	l	l	NOUN
iajs-684	53	54	-	-	PUNCT
iajs-684	53	55	semi	semi	ADJ
iajs-684	53	56	-	-	ADJ
iajs-684	53	57	pneighbourhood	pneighbourhood	ADJ
iajs-684	53	58	”	"	PUNCT
iajs-684	53	59	of	of	ADP
iajs-684	53	60	x	x	PRON
iajs-684	53	61	if	if	SCONJ
iajs-684	53	62	and	and	CCONJ
iajs-684	53	63	only	only	ADV
iajs-684	53	64	if	if	SCONJ
iajs-684	53	65	there	there	PRON
iajs-684	53	66	exists	exist	VERB
iajs-684	53	67	an	an	DET
iajs-684	53	68	l	l	NOUN
iajs-684	53	69	-	-	PUNCT
iajs-684	53	70	semi	semi	ADJ
iajs-684	53	71	-	-	ADJ
iajs-684	53	72	p	p	ADJ
iajs-684	53	73	-	-	PUNCT
iajs-684	53	74	open	open	NOUN
iajs-684	53	75	set	set	NOUN
iajs-684	53	76	g	g	PROPN
iajs-684	53	77	such	such	ADJ
iajs-684	53	78	that	that	DET
iajs-684	53	79	mgx	mgx	PROPN
iajs-684	53	80			PROPN
iajs-684	53	81	definition	definition	NOUN
iajs-684	53	82	(	(	PUNCT
iajs-684	53	83	2.10	2.10	NUM
iajs-684	53	84	):	):	PUNCT
iajs-684	53	85	let	let	VERB
iajs-684	53	86	be	be	AUX
iajs-684	53	87	abitopological	abitopological	ADJ
iajs-684	53	88	space	space	NOUN
iajs-684	53	89	and	and	CCONJ
iajs-684	53	90	let	let	VERB
iajs-684	53	91	a	a	PRON
iajs-684	53	92	be	be	AUX
iajs-684	53	93	a	a	DET
iajs-684	53	94	subset	subset	NOUN
iajs-684	53	95	of	of	ADP
iajs-684	53	96	x	x	PRON
iajs-684	53	97	,	,	PUNCT
iajs-684	53	98	then	then	ADV
iajs-684	53	99	:	:	PUNCT
iajs-684	53	100	1the	1the	NUM
iajs-684	53	101	intersection	intersection	NOUN
iajs-684	53	102	of	of	ADP
iajs-684	53	103	all	all	DET
iajs-684	53	104	l	l	NOUN
iajs-684	53	105	-	-	ADJ
iajs-684	53	106	pre	pre	ADJ
iajs-684	53	107	-	-	ADJ
iajs-684	53	108	closed	closed	ADJ
iajs-684	53	109	subset	subset	NOUN
iajs-684	53	110	of	of	ADP
iajs-684	53	111	x	x	PUNCT
iajs-684	53	112	containing	contain	VERB
iajs-684	53	113	a	a	PRON
iajs-684	53	114	is	be	AUX
iajs-684	53	115	called	call	VERB
iajs-684	53	116	“	"	PUNCT
iajs-684	53	117	l	l	NOUN
iajs-684	53	118	-	-	NOUN
iajs-684	53	119	preclosure	preclosure	NOUN
iajs-684	53	120	of	of	ADP
iajs-684	53	121	a	a	PRON
iajs-684	53	122	”	"	PUNCT
iajs-684	53	123	and	and	CCONJ
iajs-684	53	124	is	be	AUX
iajs-684	53	125	dented	dent	VERB
iajs-684	53	126	by	by	ADP
iajs-684	53	127	l	l	NOUN
iajs-684	53	128	-	-	NOUN
iajs-684	53	129	pcl(a	pcl(a	NOUN
iajs-684	53	130	)	)	PUNCT
iajs-684	53	131	.	.	PUNCT
iajs-684	54	1	2the	2the	DET
iajs-684	54	2	intersection	intersection	NOUN
iajs-684	54	3	of	of	ADP
iajs-684	54	4	all	all	DET
iajs-684	54	5	l	l	NOUN
iajs-684	54	6	-	-	PUNCT
iajs-684	54	7	semi	semi	ADJ
iajs-684	54	8	-	-	ADJ
iajs-684	54	9	p	p	ADJ
iajs-684	54	10	-	-	PUNCT
iajs-684	54	11	closed	close	VERB
iajs-684	54	12	subset	subset	NOUN
iajs-684	54	13	of	of	ADP
iajs-684	54	14	x	x	PUNCT
iajs-684	54	15	containing	contain	VERB
iajs-684	54	16	a	a	PRON
iajs-684	54	17	is	be	AUX
iajs-684	54	18	called	call	VERB
iajs-684	54	19	“	"	PUNCT
iajs-684	54	20	l	l	ADJ
iajs-684	54	21	-	-	PUNCT
iajs-684	54	22	semip	semip	NOUN
iajs-684	54	23	-	-	PUNCT
iajs-684	54	24	closure	closure	NOUN
iajs-684	54	25	of	of	ADP
iajs-684	54	26	a	a	PRON
iajs-684	54	27	”	"	PUNCT
iajs-684	54	28	and	and	CCONJ
iajs-684	54	29	is	be	AUX
iajs-684	54	30	dented	dent	VERB
iajs-684	54	31	by	by	ADP
iajs-684	54	32	l	l	NOUN
iajs-684	54	33	-	-	PUNCT
iajs-684	54	34	spcl(a	spcl(a	ADJ
iajs-684	54	35	)	)	PUNCT
iajs-684	54	36	.	.	PUNCT
iajs-684	55	1	theorem	theorem	NOUN
iajs-684	55	2	(	(	PUNCT
iajs-684	55	3	2.11	2.11	NUM
iajs-684	55	4	):	):	PUNCT
iajs-684	55	5	let	let	VERB
iajs-684	55	6	be	be	AUX
iajs-684	55	7	abitopological	abitopological	ADJ
iajs-684	55	8	space	space	NOUN
iajs-684	55	9	and	and	CCONJ
iajs-684	55	10	let	let	VERB
iajs-684	55	11	a	a	PRON
iajs-684	55	12	be	be	AUX
iajs-684	55	13	a	a	DET
iajs-684	55	14	subset	subset	NOUN
iajs-684	55	15	of	of	ADP
iajs-684	55	16	x.a	x.a	PROPN
iajs-684	55	17	point	point	NOUN
iajs-684	55	18	x	x	X
iajs-684	55	19	in	in	ADP
iajs-684	55	20	x	x	PROPN
iajs-684	55	21	is	be	AUX
iajs-684	55	22	an	an	DET
iajs-684	55	23	l	l	NOUN
iajs-684	55	24	-	-	ADJ
iajs-684	55	25	pre	pre	NOUN
iajs-684	55	26	-	-	NOUN
iajs-684	55	27	closure	closure	ADJ
iajs-684	55	28	(	(	PUNCT
iajs-684	55	29	l	l	NOUN
iajs-684	55	30	-	-	PUNCT
iajs-684	55	31	semi	semi	ADJ
iajs-684	55	32	-	-	ADJ
iajs-684	55	33	p	p	ADJ
iajs-684	55	34	-	-	PUNCT
iajs-684	55	35	closure	closure	NOUN
iajs-684	55	36	)	)	PUNCT
iajs-684	55	37	point	point	NOUN
iajs-684	55	38	of	of	ADP
iajs-684	55	39	a	a	DET
iajs-684	55	40	if	if	NOUN
iajs-684	55	41	and	and	CCONJ
iajs-684	55	42	only	only	ADV
iajs-684	55	43	if	if	SCONJ
iajs-684	55	44	every	every	DET
iajs-684	55	45	l	l	NOUN
iajs-684	55	46	-	-	NOUN
iajs-684	55	47	preneighbourhood	preneighbourhood	ADJ
iajs-684	55	48	(	(	PUNCT
iajs-684	55	49	l	l	NOUN
iajs-684	55	50	-	-	PUNCT
iajs-684	55	51	semi	semi	ADJ
iajs-684	55	52	-	-	ADJ
iajs-684	55	53	pneighbourhood	pneighbourhood	ADJ
iajs-684	55	54	)	)	PUNCT
iajs-684	55	55	of	of	ADP
iajs-684	55	56	x	x	PROPN
iajs-684	55	57	intersects	intersects	NOUN
iajs-684	55	58	a.	a.	NOUN
iajs-684	55	59	proof	proof	NOUN
iajs-684	55	60	:	:	PUNCT
iajs-684	55	61	the	the	DET
iajs-684	55	62	“	"	PUNCT
iajs-684	55	63	only	only	ADV
iajs-684	55	64	if	if	SCONJ
iajs-684	55	65	”	"	PUNCT
iajs-684	55	66	part	part	NOUN
iajs-684	55	67	assum	assum	VERB
iajs-684	55	68	that	that	SCONJ
iajs-684	55	69	x	x	PRON
iajs-684	55	70	is	be	AUX
iajs-684	55	71	an	an	DET
iajs-684	55	72	l	l	NOUN
iajs-684	55	73	-	-	ADJ
iajs-684	55	74	pre	pre	NOUN
iajs-684	55	75	-	-	NOUN
iajs-684	55	76	closure	closure	ADJ
iajs-684	55	77	(	(	PUNCT
iajs-684	55	78	l	l	NOUN
iajs-684	55	79	-	-	PUNCT
iajs-684	55	80	semi	semi	ADJ
iajs-684	55	81	-	-	ADJ
iajs-684	55	82	p	p	ADJ
iajs-684	55	83	-	-	PUNCT
iajs-684	55	84	closure	closure	NOUN
iajs-684	55	85	)	)	PUNCT
iajs-684	55	86	of	of	ADP
iajs-684	55	87	a	a	PRON
iajs-684	55	88	,	,	PUNCT
iajs-684	55	89	then	then	ADV
iajs-684	55	90	x	x	NOUN
iajs-684	55	91			VERB
iajs-684	55	92			NOUN
iajs-684	55	93			NOUN
iajs-684	56	1	closedpsemilclosedprelanisfandfaxf	closedpsemilclosedprelanisfandfaxf	ADV
iajs-684	56	2			ADV
iajs-684	56	3	:	:	PUNCT
iajs-684	56	4			SCONJ
iajs-684	56	5	.suppose	.suppose	PRON
iajs-684	56	6	that	that	SCONJ
iajs-684	56	7	there	there	PRON
iajs-684	56	8	exists	exist	VERB
iajs-684	56	9	an	an	DET
iajs-684	56	10	l	l	NOUN
iajs-684	56	11	-	-	ADJ
iajs-684	56	12	pre	pre	ADJ
iajs-684	56	13	-	-	ADJ
iajs-684	56	14	neighbourhood	neighbourhood	ADJ
iajs-684	56	15	(	(	PUNCT
iajs-684	56	16	l	l	NOUN
iajs-684	56	17	-	-	PUNCT
iajs-684	56	18	semi	semi	ADJ
iajs-684	56	19	-	-	ADJ
iajs-684	56	20	pneighbourhood	pneighbourhood	ADJ
iajs-684	56	21	)	)	PUNCT
iajs-684	56	22	m	m	VERB
iajs-684	56	23	of	of	ADP
iajs-684	56	24	x	x	INTJ
iajs-684	56	25	such	such	ADJ
iajs-684	56	26	that	that	PRON
iajs-684	56	27	am	am	PROPN
iajs-684	56	28			PROPN
iajs-684	56	29	,	,	PUNCT
iajs-684	56	30	that	that	ADV
iajs-684	56	31	is	is	ADV
iajs-684	56	32	,	,	PUNCT
iajs-684	56	33	there	there	PRON
iajs-684	56	34	exists	exist	VERB
iajs-684	56	35	an	an	DET
iajs-684	56	36	l	l	NOUN
iajs-684	56	37	-	-	ADJ
iajs-684	56	38	pre	pre	ADJ
iajs-684	56	39	-	-	ADJ
iajs-684	56	40	open(l	open(l	ADJ
iajs-684	56	41	-	-	PUNCT
iajs-684	56	42	semi	semi	ADJ
iajs-684	56	43	-	-	ADJ
iajs-684	56	44	p	p	ADJ
iajs-684	56	45	-open	-open	NOUN
iajs-684	56	46	)	)	PUNCT
iajs-684	56	47	set	set	VERB
iajs-684	56	48	g	g	PROPN
iajs-684	56	49	such	such	DET
iajs-684	56	50	that	that	DET
iajs-684	56	51	mgx	mgx	PROPN
iajs-684	56	52			PROPN
iajs-684	56	53	,	,	PUNCT
iajs-684	56	54	then	then	ADV
iajs-684	56	55	such	such	ADJ
iajs-684	56	56	that	that	SCONJ
iajs-684	56	57	gm	gm	PROPN
iajs-684	56	58	cc	cc	PROPN
iajs-684	56	59	a	a	DET
iajs-684	56	60			ADJ
iajs-684	56	61	,	,	PUNCT
iajs-684	56	62	but	but	CCONJ
iajs-684	56	63	g	g	PROPN
iajs-684	56	64	c	c	PROPN
iajs-684	56	65	is	be	AUX
iajs-684	56	66	an	an	DET
iajs-684	56	67	l	l	NOUN
iajs-684	56	68	-	-	ADJ
iajs-684	56	69	pre	pre	ADJ
iajs-684	56	70	-	-	ADJ
iajs-684	56	71	closed	closed	ADJ
iajs-684	56	72	(	(	PUNCT
iajs-684	56	73	l	l	NOUN
iajs-684	56	74	-	-	PUNCT
iajs-684	56	75	semi	semi	ADJ
iajs-684	56	76	-	-	ADJ
iajs-684	56	77	p	p	ADJ
iajs-684	56	78	-	-	PUNCT
iajs-684	56	79	closed	close	VERB
iajs-684	56	80	)	)	PUNCT
iajs-684	56	81	with	with	ADP
iajs-684	56	82	g	g	PROPN
iajs-684	56	83	c	c	PROPN
iajs-684	56	84	x	x	X
iajs-684	56	85			PROPN
iajs-684	56	86	.	.	PUNCT
iajs-684	57	1	therefore	therefore	ADV
iajs-684	57	2	x	x	X
iajs-684	57	3			NOUN
iajs-684	57	4	which	which	PRON
iajs-684	57	5	is	be	AUX
iajs-684	57	6	a	a	DET
iajs-684	57	7	contradiction	contradiction	NOUN
iajs-684	57	8	hence	hence	ADV
iajs-684	57	9	every	every	DET
iajs-684	57	10	l	l	NOUN
iajs-684	57	11	-	-	ADJ
iajs-684	57	12	pre	pre	ADJ
iajs-684	57	13	-	-	ADJ
iajs-684	57	14	neighborhood	neighborhood	ADJ
iajs-684	57	15	(	(	PUNCT
iajs-684	57	16	l	l	NOUN
iajs-684	57	17	-	-	NOUN
iajs-684	57	18	semipneighborhood	semipneighborhood	ADJ
iajs-684	57	19	)	)	PUNCT
iajs-684	57	20	of	of	ADP
iajs-684	57	21	x	x	PRON
iajs-684	57	22	must	must	AUX
iajs-684	57	23	intersect	intersect	VERB
iajs-684	57	24	a.	a.	NOUN
iajs-684	57	25	the	the	PRON
iajs-684	57	26	“	"	PUNCT
iajs-684	57	27	if	if	SCONJ
iajs-684	57	28	”	"	PUNCT
iajs-684	57	29	part	part	NOUN
iajs-684	57	30	assume	assume	VERB
iajs-684	57	31	that	that	SCONJ
iajs-684	57	32	every	every	DET
iajs-684	57	33	l	l	NOUN
iajs-684	57	34	-	-	ADJ
iajs-684	57	35	pre	pre	ADJ
iajs-684	57	36	-	-	ADJ
iajs-684	57	37	neighborhood	neighborhood	ADJ
iajs-684	57	38	(	(	PUNCT
iajs-684	57	39	l	l	NOUN
iajs-684	57	40	-	-	PUNCT
iajs-684	57	41	semi	semi	ADJ
iajs-684	57	42	-	-	ADJ
iajs-684	57	43	pneighborhood	pneighborhood	ADJ
iajs-684	57	44	)	)	PUNCT
iajs-684	57	45	of	of	ADP
iajs-684	57	46	x	x	PROPN
iajs-684	57	47	intersects	intersect	VERB
iajs-684	57	48	a	a	PRON
iajs-684	57	49	,	,	PUNCT
iajs-684	57	50	and	and	CCONJ
iajs-684	57	51	suppose	suppose	VERB
iajs-684	57	52	that	that	SCONJ
iajs-684	57	53	x	x	PRON
iajs-684	57	54	is	be	AUX
iajs-684	57	55	not	not	PART
iajs-684	57	56	l	l	NOUN
iajs-684	57	57	-pre	-pre	NOUN
iajs-684	57	58	-	-	PUNCT
iajs-684	57	59	closure	closure	NOUN
iajs-684	57	60	(	(	PUNCT
iajs-684	57	61	l	l	NOUN
iajs-684	57	62	-	-	PUNCT
iajs-684	57	63	semi	semi	ADJ
iajs-684	57	64	-	-	ADJ
iajs-684	57	65	p	p	ADJ
iajs-684	57	66	-	-	PUNCT
iajs-684	57	67	closure	closure	NOUN
iajs-684	57	68	)	)	PUNCT
iajs-684	57	69	point	point	NOUN
iajs-684	57	70	of	of	ADP
iajs-684	57	71	a	a	DET
iajs-684	57	72	,	,	PUNCT
iajs-684	57	73	then	then	ADV
iajs-684	57	74	x	x	PROPN
iajs-684	57	75			NOUN
iajs-684	57	76	,	,	PUNCT
iajs-684	57	77	that	that	ADV
iajs-684	57	78	is	is	ADV
iajs-684	57	79	,	,	PUNCT
iajs-684	57	80	there	there	PRON
iajs-684	57	81	exists	exist	VERB
iajs-684	57	82	an	an	DET
iajs-684	57	83	l	l	NOUN
iajs-684	57	84	-	-	ADJ
iajs-684	57	85	pre	pre	ADJ
iajs-684	57	86	-	-	ADJ
iajs-684	57	87	closed	closed	ADJ
iajs-684	57	88	(	(	PUNCT
iajs-684	57	89	l	l	NOUN
iajs-684	57	90	-	-	PUNCT
iajs-684	57	91	semi	semi	ADJ
iajs-684	57	92	-	-	ADJ
iajs-684	57	93	p	p	ADJ
iajs-684	57	94	-closed	-close	VERB
iajs-684	57	95	)	)	PUNCT
iajs-684	57	96	subset	subset	NOUN
iajs-684	57	97	f	f	PROPN
iajs-684	57	98	of	of	ADP
iajs-684	57	99	x	x	PUNCT
iajs-684	57	100	with	with	ADP
iajs-684	57	101	fa	fa	PROPN
iajs-684	57	102			PROPN
iajs-684	57	103	such	such	ADJ
iajs-684	57	104	that	that	SCONJ
iajs-684	57	105	fx	fx	PROPN
iajs-684	57	106			PROPN
iajs-684	57	107	,	,	PUNCT
iajs-684	57	108	it	it	PRON
iajs-684	57	109	مجلة	مجلة	VERB
iajs-684	57	110	إبن	إبن	VERB
iajs-684	57	111	الھیثم	الھیثم	NOUN
iajs-684	57	112	للعلوم	للعلوم	NOUN
iajs-684	57	113	الصرفة	الصرفة	NOUN
iajs-684	57	114	و	و	PRON
iajs-684	57	115	التطبیقیة	التطبیقیة	PROPN
iajs-684	57	116	2012	2012	NUM
iajs-684	57	117	السنة	السنة	NOUN
iajs-684	57	118	25	25	NUM
iajs-684	57	119	المجلد	المجلد	NOUN
iajs-684	57	120	1	1	NUM
iajs-684	57	121	العدد	العدد	PROPN
iajs-684	57	122	ibn	ibn	PROPN
iajs-684	57	123	al	al	PROPN
iajs-684	57	124	-	-	PUNCT
iajs-684	57	125	haitham	haitham	PROPN
iajs-684	57	126	journal	journal	PROPN
iajs-684	57	127	for	for	ADP
iajs-684	57	128	pure	pure	ADJ
iajs-684	57	129	and	and	CCONJ
iajs-684	57	130	applied	apply	VERB
iajs-684	57	131	science	science	NOUN
iajs-684	57	132	no	no	NOUN
iajs-684	57	133	.	.	NOUN
iajs-684	57	134	1	1	NUM
iajs-684	57	135	vol	vol	NOUN
iajs-684	57	136	.	.	PUNCT
iajs-684	58	1	25	25	NUM
iajs-684	58	2	year	year	NOUN
iajs-684	58	3	2012	2012	NUM
iajs-684	58	4	follows	follow	VERB
iajs-684	58	5	that	that	SCONJ
iajs-684	58	6	fx	fx	PROPN
iajs-684	58	7	c	c	PROPN
iajs-684	58	8			NOUN
iajs-684	58	9	which	which	PRON
iajs-684	58	10	is	be	AUX
iajs-684	58	11	an	an	DET
iajs-684	58	12	l	l	NOUN
iajs-684	58	13	-	-	ADJ
iajs-684	58	14	pre	pre	ADJ
iajs-684	58	15	-	-	ADJ
iajs-684	58	16	open(l	open(l	ADJ
iajs-684	58	17	-	-	PUNCT
iajs-684	58	18	semi	semi	ADJ
iajs-684	58	19	-	-	ADJ
iajs-684	58	20	p	p	ADJ
iajs-684	58	21	-open	-open	NOUN
iajs-684	58	22	)	)	PUNCT
iajs-684	58	23	set	set	NOUN
iajs-684	58	24	.	.	PUNCT
iajs-684	59	1	now	now	ADV
iajs-684	59	2	there	there	PRON
iajs-684	59	3	is	be	VERB
iajs-684	59	4	an	an	DET
iajs-684	59	5	l	l	NOUN
iajs-684	59	6	-	-	NOUN
iajs-684	59	7	preneighborhood	preneighborhood	NOUN
iajs-684	59	8	(	(	PUNCT
iajs-684	59	9	l	l	NOUN
iajs-684	59	10	-	-	PUNCT
iajs-684	59	11	semi	semi	ADJ
iajs-684	59	12	-	-	ADJ
iajs-684	59	13	pneighborhood	pneighborhood	ADJ
iajs-684	59	14	)	)	PUNCT
iajs-684	59	15	fc	fc	PROPN
iajs-684	59	16	of	of	ADP
iajs-684	59	17	x	x	PUNCT
iajs-684	59	18	with	with	ADP
iajs-684	59	19	f	f	PUNCT
iajs-684	59	20	c	c	NOUN
iajs-684	59	21	a	a	DET
iajs-684	59	22			X
iajs-684	59	23	.that	.that	PRON
iajs-684	59	24	implies	imply	VERB
iajs-684	59	25	to	to	PART
iajs-684	59	26	contradiction	contradiction	VERB
iajs-684	59	27	with	with	ADP
iajs-684	59	28	our	our	PRON
iajs-684	59	29	assumption	assumption	NOUN
iajs-684	59	30	.	.	PUNCT
iajs-684	60	1	hence	hence	ADV
iajs-684	60	2	x	x	PRON
iajs-684	60	3	must	must	AUX
iajs-684	60	4	be	be	AUX
iajs-684	60	5	an	an	DET
iajs-684	60	6	l	l	NOUN
iajs-684	60	7	-	-	ADJ
iajs-684	60	8	pre-(l	pre-(l	ADJ
iajs-684	60	9	-	-	PUNCT
iajs-684	60	10	semi	semi	NOUN
iajs-684	60	11	-	-	ADJ
iajs-684	60	12	p-	p-	ADJ
iajs-684	60	13	)	)	PUNCT
iajs-684	60	14	closure	closure	NOUN
iajs-684	60	15	point	point	NOUN
iajs-684	60	16	of	of	ADP
iajs-684	60	17	a	a	DET
iajs-684	60	18	theorem	theorem	NOUN
iajs-684	60	19	(	(	PUNCT
iajs-684	60	20	2.12	2.12	NUM
iajs-684	60	21	):	):	PUNCT
iajs-684	60	22	let	let	VERB
iajs-684	60	23	be	be	AUX
iajs-684	60	24	a	a	DET
iajs-684	60	25	bi	bi	ADJ
iajs-684	60	26	topological	topological	ADJ
iajs-684	60	27	space	space	NOUN
iajs-684	60	28	.	.	PUNCT
iajs-684	61	1	a	a	DET
iajs-684	61	2	subset	subset	NOUN
iajs-684	61	3	a	a	PRON
iajs-684	61	4	of	of	ADP
iajs-684	61	5	x	x	PUNCT
iajs-684	61	6	is	be	AUX
iajs-684	61	7	an	an	DET
iajs-684	61	8	l	l	NOUN
iajs-684	61	9	-	-	ADJ
iajs-684	61	10	pre-(l	pre-(l	ADJ
iajs-684	61	11	-	-	PUNCT
iajs-684	61	12	semi	semi	NOUN
iajs-684	61	13	-	-	ADJ
iajs-684	61	14	p-	p-	X
iajs-684	61	15	)	)	PUNCT
iajs-684	61	16	closed	close	VERB
iajs-684	61	17	if	if	SCONJ
iajs-684	61	18	and	and	CCONJ
iajs-684	61	19	only	only	ADV
iajs-684	61	20	if	if	SCONJ
iajs-684	61	21			NOUN
iajs-684	61	22			SYM
iajs-684	61	23			NOUN
iajs-684	62	1			NUM
iajs-684	62	2	aspcllapclla	aspcllapclla	NOUN
iajs-684	62	3			PUNCT
iajs-684	62	4	proof	proof	NOUN
iajs-684	62	5	:	:	PUNCT
iajs-684	62	6	the	the	PRON
iajs-684	62	7	“	"	PUNCT
iajs-684	62	8	only	only	ADV
iajs-684	62	9	if	if	SCONJ
iajs-684	62	10	”	"	PUNCT
iajs-684	62	11	part	part	NOUN
iajs-684	62	12	suppose	suppose	VERB
iajs-684	63	1	that	that	SCONJ
iajs-684	63	2			NOUN
iajs-684	63	3			SYM
iajs-684	63	4			NOUN
iajs-684	63	5			X
iajs-684	63	6	xspclxpcla	xspclxpcla	PROPN
iajs-684	63	7			NUM
iajs-684	63	8	and	and	CCONJ
iajs-684	63	9			NOUN
iajs-684	63	10			SYM
iajs-684	63	11			NOUN
iajs-684	63	12			NUM
iajs-684	63	13	aspcllapclla	aspcllapclla	NOUN
iajs-684	64	1			NOUN
iajs-684	64	2	.since	.since	NOUN
iajs-684	64	3			NOUN
iajs-684	64	4			SYM
iajs-684	64	5			NOUN
iajs-684	64	6			NOUN
iajs-684	64	7	aspcllapclla	aspcllapclla	X
iajs-684	65	1			NOUN
iajs-684	65	2	,	,	PUNCT
iajs-684	65	3	so	so	SCONJ
iajs-684	65	4			NOUN
iajs-684	65	5			PUNCT
iajs-684	65	6			NOUN
iajs-684	66	1			NOUN
iajs-684	67	1			PROPN
iajs-684	67	2	aaspcllapcll	aaspcllapcll	NOUN
iajs-684	67	3			PROPN
iajs-684	67	4	,	,	PUNCT
iajs-684	67	5	that	that	ADV
iajs-684	67	6	is	is	ADV
iajs-684	67	7	,	,	PUNCT
iajs-684	67	8	there	there	PRON
iajs-684	67	9	exists	exist	VERB
iajs-684	67	10	an	an	DET
iajs-684	67	11	element	element	NOUN
iajs-684	67	12			NOUN
iajs-684	67	13			SYM
iajs-684	67	14			NOUN
iajs-684	67	15			NOUN
iajs-684	68	1	aspcllapcllr	aspcllapcllr	ADP
iajs-684	68	2			NOUN
iajs-684	68	3	and	and	CCONJ
iajs-684	68	4	ar	ar	NOUN
iajs-684	68	5	,	,	PUNCT
iajs-684	68	6	it	it	PRON
iajs-684	68	7	follows	follow	VERB
iajs-684	68	8	that	that	DET
iajs-684	68	9	car	car	VERB
iajs-684	68	10	which	which	PRON
iajs-684	68	11	is	be	AUX
iajs-684	68	12	an	an	DET
iajs-684	68	13	l	l	PROPN
iajs-684	68	14	-	-	PUNCT
iajs-684	68	15	pre-(lsemi	pre-(lsemi	PROPN
iajs-684	68	16	-	-	PUNCT
iajs-684	68	17	p-	p-	X
iajs-684	68	18	)	)	PUNCT
iajs-684	68	19	open	open	ADJ
iajs-684	68	20	set	set	NOUN
iajs-684	68	21	.	.	PUNCT
iajs-684	69	1	then	then	ADV
iajs-684	69	2	by	by	ADP
iajs-684	69	3	theorem	theorem	NOUN
iajs-684	69	4	(	(	PUNCT
iajs-684	69	5	3.33	3.33	NUM
iajs-684	69	6	)	)	PUNCT
iajs-684	69	7	a	a	NOUN
iajs-684	69	8	c	c	PROPN
iajs-684	69	9	a	a	DET
iajs-684	69	10			PROPN
iajs-684	69	11	which	which	PRON
iajs-684	69	12	is	be	AUX
iajs-684	69	13	a	a	DET
iajs-684	69	14	contradiction	contradiction	NOUN
iajs-684	69	15	with	with	ADP
iajs-684	69	16	the	the	DET
iajs-684	69	17	fact	fact	NOUN
iajs-684	69	18	caa	caa	NUM
iajs-684	69	19			PROPN
iajs-684	69	20	.hence	.hence	ADP
iajs-684	69	21			NOUN
iajs-684	69	22			PROPN
iajs-684	69	23			NOUN
iajs-684	69	24			NOUN
iajs-684	69	25	aspcllapclla	aspcllapclla	X
iajs-684	69	26			PUNCT
iajs-684	69	27	the	the	DET
iajs-684	69	28	“	"	PUNCT
iajs-684	69	29	if	if	SCONJ
iajs-684	69	30	”	"	PUNCT
iajs-684	69	31	part	part	NOUN
iajs-684	69	32	assume	assume	VERB
iajs-684	69	33	that	that	SCONJ
iajs-684	69	34			NOUN
iajs-684	69	35			SYM
iajs-684	69	36			NOUN
iajs-684	69	37			NOUN
iajs-684	69	38	aspcllapclla	aspcllapclla	NOUN
iajs-684	69	39			PUNCT
iajs-684	69	40	,	,	PUNCT
iajs-684	69	41	but	but	CCONJ
iajs-684	69	42			NOUN
iajs-684	69	43			SYM
iajs-684	69	44			NOUN
iajs-684	69	45			X
iajs-684	69	46	aspcllapcll	aspcllapcll	PROPN
iajs-684	69	47			NUM
iajs-684	69	48	is	be	AUX
iajs-684	69	49	an	an	DET
iajs-684	69	50	lpre-(l	lpre-(l	NOUN
iajs-684	69	51	-	-	PUNCT
iajs-684	69	52	semi	semi	ADJ
iajs-684	69	53	-	-	ADJ
iajs-684	69	54	p-	p-	ADJ
iajs-684	69	55	)	)	PUNCT
iajs-684	69	56	closed	closed	ADJ
iajs-684	69	57	subset	subset	NOUN
iajs-684	69	58	of	of	ADP
iajs-684	69	59	x	x	PUNCT
iajs-684	69	60	by	by	ADP
iajs-684	69	61	definition	definition	NOUN
iajs-684	69	62	(	(	PUNCT
iajs-684	69	63	3.32	3.32	NUM
iajs-684	69	64	)	)	PUNCT
iajs-684	69	65	.	.	PUNCT
iajs-684	70	1	so	so	ADV
iajs-684	70	2	a	a	PRON
iajs-684	70	3	is	be	AUX
iajs-684	70	4	an	an	DET
iajs-684	70	5	l	l	NOUN
iajs-684	70	6	-	-	ADJ
iajs-684	70	7	pre-(l	pre-(l	ADJ
iajs-684	70	8	-	-	PUNCT
iajs-684	70	9	semi	semi	NOUN
iajs-684	70	10	-	-	ADJ
iajs-684	70	11	p-	p-	ADJ
iajs-684	70	12	)	)	PUNCT
iajs-684	70	13	closed	close	VERB
iajs-684	70	14	set	set	NOUN
iajs-684	70	15	.	.	PUNCT
iajs-684	71	1	definition	definition	NOUN
iajs-684	71	2	(	(	PUNCT
iajs-684	71	3	2.13	2.13	NUM
iajs-684	71	4	):	):	PUNCT
iajs-684	71	5	a	a	DET
iajs-684	71	6	bi	bi	ADJ
iajs-684	71	7	topological	topological	ADJ
iajs-684	71	8	space	space	NOUN
iajs-684	71	9	is	be	AUX
iajs-684	71	10	said	say	VERB
iajs-684	71	11	to	to	PART
iajs-684	71	12	be	be	AUX
iajs-684	71	13	:	:	PUNCT
iajs-684	71	14	1	1	NUM
iajs-684	71	15	if	if	SCONJ
iajs-684	71	16	and	and	CCONJ
iajs-684	71	17	only	only	ADV
iajs-684	71	18	if	if	SCONJ
iajs-684	71	19	for	for	ADP
iajs-684	71	20	each	each	DET
iajs-684	71	21	pair	pair	NOUN
iajs-684	71	22	of	of	ADP
iajs-684	71	23	distinct	distinct	ADJ
iajs-684	71	24	points	point	NOUN
iajs-684	71	25	x	x	PUNCT
iajs-684	71	26	and	and	CCONJ
iajs-684	71	27	y	y	PROPN
iajs-684	71	28	,	,	PUNCT
iajs-684	71	29	there	there	PRON
iajs-684	71	30	are	be	VERB
iajs-684	71	31	two	two	NUM
iajs-684	71	32	disjoint	disjoint	ADJ
iajs-684	71	33	l	l	NOUN
iajs-684	71	34	-	-	ADJ
iajs-684	71	35	pre	pre	ADJ
iajs-684	71	36	-	-	ADJ
iajs-684	71	37	open	open	ADJ
iajs-684	71	38	subsets	subset	NOUN
iajs-684	71	39	u	u	NOUN
iajs-684	71	40	and	and	CCONJ
iajs-684	71	41	v	v	NOUN
iajs-684	71	42	of	of	ADP
iajs-684	71	43	x	x	PUNCT
iajs-684	71	44	such	such	ADJ
iajs-684	71	45	that	that	DET
iajs-684	71	46	ux	ux	ADJ
iajs-684	71	47			NOUN
iajs-684	71	48	and	and	CCONJ
iajs-684	71	49	vy	vy	ADP
iajs-684	71	50			NOUN
iajs-684	71	51	.	.	PUNCT
iajs-684	72	1	2	2	NUM
iajs-684	72	2	if	if	SCONJ
iajs-684	72	3	and	and	CCONJ
iajs-684	72	4	only	only	ADV
iajs-684	72	5	if	if	SCONJ
iajs-684	72	6	for	for	ADP
iajs-684	72	7	each	each	DET
iajs-684	72	8	pair	pair	NOUN
iajs-684	72	9	of	of	ADP
iajs-684	72	10	distinct	distinct	ADJ
iajs-684	72	11	points	point	NOUN
iajs-684	72	12	x	x	PUNCT
iajs-684	72	13	and	and	CCONJ
iajs-684	72	14	y	y	PROPN
iajs-684	72	15	,	,	PUNCT
iajs-684	72	16	there	there	PRON
iajs-684	72	17	are	be	VERB
iajs-684	72	18	two	two	NUM
iajs-684	72	19	disjoint	disjoint	ADJ
iajs-684	72	20	l	l	NOUN
iajs-684	72	21	-	-	PUNCT
iajs-684	72	22	semi	semi	ADJ
iajs-684	72	23	-	-	ADJ
iajs-684	72	24	p	p	ADJ
iajs-684	72	25	-	-	PUNCT
iajs-684	72	26	open	open	ADJ
iajs-684	72	27	subsets	subset	NOUN
iajs-684	72	28	u	u	NOUN
iajs-684	72	29	and	and	CCONJ
iajs-684	72	30	v	v	NOUN
iajs-684	72	31	of	of	ADP
iajs-684	72	32	x	x	PUNCT
iajs-684	72	33	such	such	ADJ
iajs-684	72	34	that	that	DET
iajs-684	72	35	ux	ux	ADJ
iajs-684	72	36			NOUN
iajs-684	72	37	and	and	CCONJ
iajs-684	72	38	vy	vy	ADP
iajs-684	72	39			NOUN
iajs-684	72	40	.	.	PUNCT
iajs-684	73	1	proposition	proposition	NOUN
iajs-684	73	2	(	(	PUNCT
iajs-684	73	3	2.14	2.14	NUM
iajs-684	73	4	)	)	PUNCT
iajs-684	73	5	1	1	NUM
iajs-684	73	6	.	.	X
iajs-684	73	7	2	2	NUM
iajs-684	73	8	.	.	X
iajs-684	74	1	3	3	X
iajs-684	74	2	.	.	X
iajs-684	74	3	proof	proof	NOUN
iajs-684	74	4	:	:	PUNCT
iajs-684	74	5	follows	follow	VERB
iajs-684	74	6	from	from	ADP
iajs-684	74	7	remark	remark	NOUN
iajs-684	74	8	(	(	PUNCT
iajs-684	74	9	2.3	2.3	NUM
iajs-684	74	10	)	)	PUNCT
iajs-684	74	11	.	.	PUNCT
iajs-684	75	1	remark	remark	NOUN
iajs-684	75	2	(	(	PUNCT
iajs-684	75	3	2.15	2.15	NUM
iajs-684	75	4	):	):	PUNCT
iajs-684	75	5	the	the	DET
iajs-684	75	6	opposite	opposite	ADJ
iajs-684	75	7	direction	direction	NOUN
iajs-684	75	8	of	of	ADP
iajs-684	75	9	each	each	DET
iajs-684	75	10	case	case	NOUN
iajs-684	75	11	proposition	proposition	NOUN
iajs-684	75	12	(	(	PUNCT
iajs-684	75	13	2.6	2.6	NUM
iajs-684	75	14	)	)	PUNCT
iajs-684	75	15	is	be	AUX
iajs-684	75	16	not	not	PART
iajs-684	75	17	true	true	ADJ
iajs-684	75	18	in	in	ADP
iajs-684	75	19	general	general	ADJ
iajs-684	75	20	.	.	PUNCT
iajs-684	76	1	as	as	SCONJ
iajs-684	76	2	the	the	DET
iajs-684	76	3	following	follow	VERB
iajs-684	76	4	two	two	NUM
iajs-684	76	5	examples	example	NOUN
iajs-684	76	6	show	show	NOUN
iajs-684	76	7	:	:	PUNCT
iajs-684	76	8	مجلة	مجلة	ADJ
iajs-684	76	9	إبن	إبن	VERB
iajs-684	76	10	الھیثم	الھیثم	NOUN
iajs-684	76	11	للعلوم	للعلوم	NOUN
iajs-684	76	12	الصرفة	الصرفة	NOUN
iajs-684	76	13	و	و	PRON
iajs-684	76	14	التطبیقیة	التطبیقیة	PROPN
iajs-684	76	15	2012	2012	NUM
iajs-684	76	16	السنة	السنة	NOUN
iajs-684	77	1	25	25	NUM
iajs-684	78	1	المجلد	المجلد	NOUN
iajs-684	78	2	1	1	NUM
iajs-684	78	3	العدد	العدد	PROPN
iajs-684	78	4	ibn	ibn	PROPN
iajs-684	78	5	al	al	PROPN
iajs-684	78	6	-	-	PUNCT
iajs-684	78	7	haitham	haitham	PROPN
iajs-684	78	8	journal	journal	PROPN
iajs-684	78	9	for	for	ADP
iajs-684	78	10	pure	pure	ADJ
iajs-684	78	11	and	and	CCONJ
iajs-684	78	12	applied	apply	VERB
iajs-684	78	13	science	science	NOUN
iajs-684	78	14	no	no	NOUN
iajs-684	78	15	.	.	NOUN
iajs-684	78	16	1	1	NUM
iajs-684	78	17	vol	vol	NOUN
iajs-684	78	18	.	.	PUNCT
iajs-684	79	1	25	25	NUM
iajs-684	79	2	year	year	NOUN
iajs-684	79	3	2012	2012	NUM
iajs-684	79	4			PROPN
iajs-684	79	5			PROPN
iajs-684	79	6			PROPN
iajs-684	79	7			NOUN
iajs-684	80	1			PROPN
iajs-684	80	2			PROPN
iajs-684	80	3			PROPN
iajs-684	80	4			PROPN
iajs-684	80	5			PROPN
iajs-684	80	6			NOUN
iajs-684	80	7			PROPN
iajs-684	80	8			NOUN
iajs-684	80	9			PUNCT
iajs-684	80	10			PROPN
iajs-684	80	11			NOUN
iajs-684	80	12			PROPN
iajs-684	80	13			NOUN
iajs-684	80	14			SYM
iajs-684	80	15			NOUN
iajs-684	80	16			PUNCT
iajs-684	80	17			PROPN
iajs-684	80	18			PROPN
iajs-684	80	19			PROPN
iajs-684	80	20			PROPN
iajs-684	80	21			PROPN
iajs-684	80	22			PROPN
iajs-684	80	23			PROPN
iajs-684	80	24			NOUN
iajs-684	80	25	3,1,3,2,2,1	3,1,3,2,2,1	X
iajs-684	80	26	2,1	2,1	NUM
iajs-684	80	27	,	,	PUNCT
iajs-684	80	28	,	,	PUNCT
iajs-684	80	29	3,1,3,1	3,1,3,1	NUM
iajs-684	80	30	,	,	PUNCT
iajs-684	80	31	,	,	PUNCT
iajs-684	80	32	2,1	2,1	NUM
iajs-684	80	33	,	,	PUNCT
iajs-684	80	34	,	,	PUNCT
iajs-684	80	35	3,2,1	3,2,1	NUM
iajs-684	80	36	2	2	NUM
iajs-684	80	37	1	1	NUM
iajs-684	80	38	xolxpol	xolxpol	NOUN
iajs-684	80	39	xxol	xxol	NOUN
iajs-684	80	40	x	x	PUNCT
iajs-684	81	1	x	x	PUNCT
iajs-684	81	2	x	x	PUNCT
iajs-684	81	3			PROPN
iajs-684	81	4			PROPN
iajs-684	82	1			PROPN
iajs-684	82	2			NOUN
iajs-684	82	3			NUM
iajs-684	82	4			NOUN
iajs-684	82	5			PROPN
iajs-684	82	6			NOUN
iajs-684	82	7	clear	clear	ADJ
iajs-684	82	8	that	that	PRON
iajs-684	82	9	is	be	AUX
iajs-684	82	10	space	space	NOUN
iajs-684	82	11	,	,	PUNCT
iajs-684	82	12	but	but	CCONJ
iajs-684	82	13	it	it	PRON
iajs-684	82	14	is	be	AUX
iajs-684	82	15	not	not	PART
iajs-684	82	16	clear	clear	ADJ
iajs-684	82	17	that	that	PRON
iajs-684	82	18	is	be	AUX
iajs-684	82	19	space	space	NOUN
iajs-684	82	20	,	,	PUNCT
iajs-684	82	21	but	but	CCONJ
iajs-684	82	22	it	it	PRON
iajs-684	82	23	is	be	AUX
iajs-684	82	24	neither	neither	DET
iajs-684	82	25	space	space	NOUN
iajs-684	82	26	nor	nor	CCONJ
iajs-684	82	27	.	.	PUNCT
iajs-684	83	1	definition	definition	NOUN
iajs-684	83	2	(	(	PUNCT
iajs-684	83	3	2.16	2.16	NUM
iajs-684	83	4	):	):	PUNCT
iajs-684	83	5	let	let	VERB
iajs-684	83	6	be	be	AUX
iajs-684	83	7	any	any	DET
iajs-684	83	8	function	function	NOUN
iajs-684	83	9	,	,	PUNCT
iajs-684	83	10	then	then	ADV
iajs-684	83	11	f	f	PROPN
iajs-684	83	12	is	be	AUX
iajs-684	83	13	said	say	VERB
iajs-684	83	14	to	to	PART
iajs-684	83	15	be	be	AUX
iajs-684	83	16	:	:	PUNCT
iajs-684	83	17	1“l	1“l	NUM
iajs-684	83	18	-	-	PUNCT
iajs-684	83	19	pre	pre	NOUN
iajs-684	83	20	-	-	ADJ
iajs-684	83	21	irresolute	irresolute	ADJ
iajs-684	83	22	”	"	PUNCT
iajs-684	83	23	function	function	NOUN
iajs-684	83	24	if	if	SCONJ
iajs-684	83	25	and	and	CCONJ
iajs-684	83	26	only	only	ADV
iajs-684	83	27	if	if	SCONJ
iajs-684	83	28	the	the	DET
iajs-684	83	29	inverse	inverse	ADJ
iajs-684	83	30	image	image	NOUN
iajs-684	83	31	of	of	ADP
iajs-684	83	32	an	an	DET
iajs-684	83	33	l	l	NOUN
iajs-684	83	34	-	-	ADJ
iajs-684	83	35	pre	pre	ADJ
iajs-684	83	36	-	-	ADJ
iajs-684	83	37	open	open	ADJ
iajs-684	83	38	subset	subset	NOUN
iajs-684	83	39	of	of	ADP
iajs-684	83	40	y	y	PROPN
iajs-684	83	41	is	be	AUX
iajs-684	83	42	an	an	DET
iajs-684	83	43	l	l	NOUN
iajs-684	83	44	-	-	ADJ
iajs-684	83	45	pre	pre	ADJ
iajs-684	83	46	-	-	ADJ
iajs-684	83	47	open	open	ADJ
iajs-684	83	48	subset	subset	NOUN
iajs-684	83	49	of	of	ADP
iajs-684	83	50	x	x	SYM
iajs-684	83	51	2“l	2“l	ADV
iajs-684	83	52	-	-	PUNCT
iajs-684	83	53	semi	semi	ADJ
iajs-684	83	54	-	-	ADJ
iajs-684	83	55	p	p	ADJ
iajs-684	83	56	-	-	PUNCT
iajs-684	83	57	irresolute	irresolute	ADJ
iajs-684	83	58	”	"	PUNCT
iajs-684	83	59	function	function	NOUN
iajs-684	83	60	if	if	SCONJ
iajs-684	83	61	and	and	CCONJ
iajs-684	83	62	only	only	ADV
iajs-684	83	63	if	if	SCONJ
iajs-684	83	64	the	the	DET
iajs-684	83	65	inverse	inverse	ADJ
iajs-684	83	66	image	image	NOUN
iajs-684	83	67	of	of	ADP
iajs-684	83	68	an	an	DET
iajs-684	83	69	l	l	NOUN
iajs-684	83	70	-	-	PUNCT
iajs-684	83	71	semi	semi	ADJ
iajs-684	83	72	-	-	ADJ
iajs-684	83	73	p	p	ADJ
iajs-684	83	74	-	-	PUNCT
iajs-684	83	75	open	open	ADJ
iajs-684	83	76	subset	subset	NOUN
iajs-684	83	77	of	of	ADP
iajs-684	83	78	y	y	PROPN
iajs-684	83	79	is	be	AUX
iajs-684	83	80	an	an	DET
iajs-684	83	81	l	l	NOUN
iajs-684	83	82	-	-	PUNCT
iajs-684	83	83	semi	semi	ADJ
iajs-684	83	84	-	-	ADJ
iajs-684	83	85	p	p	ADJ
iajs-684	83	86	-	-	PUNCT
iajs-684	83	87	open	open	ADJ
iajs-684	83	88	subset	subset	NOUN
iajs-684	83	89	of	of	ADP
iajs-684	83	90	x.	x.	NOUN
iajs-684	83	91	it	it	PRON
iajs-684	83	92	is	be	AUX
iajs-684	83	93	clear	clear	ADJ
iajs-684	83	94	that	that	SCONJ
iajs-684	83	95	their	their	PRON
iajs-684	83	96	is	be	AUX
iajs-684	83	97	no	no	DET
iajs-684	83	98	relation	relation	NOUN
iajs-684	83	99	among	among	ADP
iajs-684	83	100	the	the	DET
iajs-684	83	101	concepts	concept	NOUN
iajs-684	83	102	of	of	ADP
iajs-684	83	103	l	l	NOUN
iajs-684	83	104	-	-	ADJ
iajs-684	83	105	continuous	continuous	ADJ
iajs-684	83	106	,	,	PUNCT
iajs-684	83	107	l	l	NOUN
iajs-684	83	108	-	-	NOUN
iajs-684	83	109	preirresolute	preirresolute	ADJ
iajs-684	83	110	and	and	CCONJ
iajs-684	83	111	l	l	NOUN
iajs-684	83	112	-	-	PUNCT
iajs-684	83	113	semi	semi	ADJ
iajs-684	83	114	-	-	ADJ
iajs-684	83	115	p	p	ADJ
iajs-684	83	116	-	-	PUNCT
iajs-684	83	117	irresolute	irresolute	ADJ
iajs-684	83	118	function	function	NOUN
iajs-684	83	119	.	.	PUNCT
iajs-684	84	1	see	see	VERB
iajs-684	84	2	the	the	DET
iajs-684	84	3	following	follow	VERB
iajs-684	84	4	examples	example	NOUN
iajs-684	84	5	:	:	PUNCT
iajs-684	84	6	example(2.17	example(2.17	NUM
iajs-684	84	7	):	):	PUNCT
iajs-684	84	8			PROPN
iajs-684	84	9			PROPN
iajs-684	84	10			PROPN
iajs-684	84	11			ADV
iajs-684	84	12			ADV
iajs-684	84	13			NOUN
iajs-684	84	14			X
iajs-684	84	15			NOUN
iajs-684	84	16			PUNCT
iajs-684	84	17			PROPN
iajs-684	84	18			PROPN
iajs-684	84	19			PROPN
iajs-684	84	20			PROPN
iajs-684	84	21			NOUN
iajs-684	84	22			PROPN
iajs-684	84	23			NOUN
iajs-684	84	24			PROPN
iajs-684	84	25			NOUN
iajs-684	84	26			PROPN
iajs-684	84	27			PROPN
iajs-684	84	28			PROPN
iajs-684	84	29			PROPN
iajs-684	84	30			PROPN
iajs-684	84	31			PROPN
iajs-684	84	32			NOUN
iajs-684	84	33			PROPN
iajs-684	84	34			NOUN
iajs-684	84	35			SYM
iajs-684	84	36			NOUN
iajs-684	84	37			PUNCT
iajs-684	84	38			PROPN
iajs-684	84	39			ADV
iajs-684	84	40			ADV
iajs-684	84	41			ADV
iajs-684	84	42			ADV
iajs-684	84	43			NOUN
iajs-684	84	44			ADV
iajs-684	84	45	4,3,1,4,2,3,2,4,1,3,1,4,3,2	4,3,1,4,2,3,2,4,1,3,1,4,3,2	PROPN
iajs-684	84	46	4,2,1,3,2,1,2,1,2,1	4,2,1,3,2,1,2,1,2,1	PROPN
iajs-684	84	47	,	,	PUNCT
iajs-684	84	48	,	,	PUNCT
iajs-684	84	49	2,1,2,1	2,1,2,1	NUM
iajs-684	84	50	,	,	PUNCT
iajs-684	84	51	,	,	PUNCT
iajs-684	84	52	2,1,2,1	2,1,2,1	NUM
iajs-684	84	53	,	,	PUNCT
iajs-684	84	54	,	,	PUNCT
iajs-684	84	55	4,3,2,1	4,3,2,1	NUM
iajs-684	84	56	2	2	NUM
iajs-684	84	57	1	1	NUM
iajs-684	84	58	xpolxspol	xpolxspol	NOUN
iajs-684	84	59	xxpol	xxpol	NOUN
iajs-684	84	60	xxol	xxol	PUNCT
iajs-684	85	1	d	d	X
iajs-684	85	2	x	x	PUNCT
iajs-684	85	3	x	x	PUNCT
iajs-684	85	4			PROPN
iajs-684	85	5			PROPN
iajs-684	85	6			NOUN
iajs-684	85	7			PROPN
iajs-684	85	8			NOUN
iajs-684	86	1			NUM
iajs-684	86	2			NOUN
iajs-684	86	3			NOUN
iajs-684	86	4			NOUN
iajs-684	86	5			NOUN
iajs-684	86	6	مجلة	مجلة	VERB
iajs-684	86	7	إبن	إبن	VERB
iajs-684	86	8	الھیثم	الھیثم	NOUN
iajs-684	86	9	للعلوم	للعلوم	NOUN
iajs-684	86	10	الصرفة	الصرفة	NOUN
iajs-684	86	11	و	و	PRON
iajs-684	86	12	التطبیقیة	التطبیقیة	PROPN
iajs-684	86	13	2012	2012	NUM
iajs-684	86	14	السنة	السنة	NOUN
iajs-684	87	1	25	25	NUM
iajs-684	87	2	المجلد	المجلد	NOUN
iajs-684	87	3	1	1	NUM
iajs-684	87	4	العدد	العدد	PROPN
iajs-684	87	5	ibn	ibn	PROPN
iajs-684	87	6	al	al	PROPN
iajs-684	87	7	-	-	PUNCT
iajs-684	87	8	haitham	haitham	PROPN
iajs-684	87	9	journal	journal	PROPN
iajs-684	87	10	for	for	ADP
iajs-684	87	11	pure	pure	ADJ
iajs-684	87	12	and	and	CCONJ
iajs-684	87	13	applied	apply	VERB
iajs-684	87	14	science	science	NOUN
iajs-684	87	15	no	no	NOUN
iajs-684	87	16	.	.	NOUN
iajs-684	87	17	1	1	NUM
iajs-684	87	18	vol	vol	NOUN
iajs-684	87	19	.	.	PUNCT
iajs-684	88	1	25	25	NUM
iajs-684	88	2	year	year	NOUN
iajs-684	88	3	2012	2012	NUM
iajs-684	88	4	it	it	PRON
iajs-684	88	5	is	be	AUX
iajs-684	88	6	clear	clear	ADJ
iajs-684	88	7	that	that	PRON
iajs-684	88	8	is	be	AUX
iajs-684	88	9	l	l	NOUN
iajs-684	88	10	-	-	ADJ
iajs-684	88	11	pre-(l	pre-(l	ADJ
iajs-684	88	12	-	-	PUNCT
iajs-684	88	13	semi	semi	ADJ
iajs-684	88	14	-	-	ADJ
iajs-684	88	15	p-)irresolute	p-)irresolute	ADJ
iajs-684	88	16	function	function	NOUN
iajs-684	89	1	but	but	CCONJ
iajs-684	89	2	it	it	PRON
iajs-684	89	3	is	be	AUX
iajs-684	89	4	not	not	PART
iajs-684	89	5	l	l	ADJ
iajs-684	89	6	-	-	ADJ
iajs-684	89	7	continuous	continuous	ADJ
iajs-684	89	8	function	function	NOUN
iajs-684	89	9	.	.	PUNCT
iajs-684	90	1	eample(2.18	eample(2.18	X
iajs-684	90	2	):	):	PUNCT
iajs-684	90	3	it	it	PRON
iajs-684	90	4	is	be	AUX
iajs-684	90	5	clear	clear	ADJ
iajs-684	90	6	that	that	PRON
iajs-684	90	7	is	be	AUX
iajs-684	90	8	l	l	NOUN
iajs-684	90	9	-	-	ADJ
iajs-684	90	10	pre-(l	pre-(l	ADJ
iajs-684	90	11	-	-	PUNCT
iajs-684	90	12	semi	semi	ADJ
iajs-684	90	13	-	-	ADJ
iajs-684	90	14	p-)irresolute	p-)irresolute	ADJ
iajs-684	90	15	function	function	NOUN
iajs-684	90	16	and	and	CCONJ
iajs-684	90	17	l	l	ADJ
iajs-684	90	18	-	-	ADJ
iajs-684	90	19	continuous	continuous	ADJ
iajs-684	90	20	function	function	NOUN
iajs-684	90	21	.	.	PUNCT
iajs-684	91	1	theorem(2.19	theorem(2.19	NUM
iajs-684	91	2	):	):	PUNCT
iajs-684	91	3	a	a	DET
iajs-684	91	4	bi	bi	ADJ
iajs-684	91	5	topological	topological	ADJ
iajs-684	91	6	space	space	NOUN
iajs-684	91	7	space	space	NOUN
iajs-684	92	1	if	if	SCONJ
iajs-684	92	2	and	and	CCONJ
iajs-684	92	3	only	only	ADV
iajs-684	92	4	if	if	SCONJ
iajs-684	92	5	for	for	ADP
iajs-684	92	6	each	each	DET
iajs-684	92	7	pair	pair	NOUN
iajs-684	92	8	of	of	ADP
iajs-684	92	9	distinct	distinct	ADJ
iajs-684	92	10	points	point	NOUN
iajs-684	92	11	there	there	PRON
iajs-684	92	12	exists	exist	VERB
iajs-684	92	13	l	l	NOUN
iajs-684	92	14	-	-	ADJ
iajs-684	92	15	pre-(l	pre-(l	ADJ
iajs-684	92	16	-	-	PUNCT
iajs-684	92	17	semi	semi	ADJ
iajs-684	92	18	-	-	ADJ
iajs-684	92	19	p-)irresolute	p-)irresolute	ADJ
iajs-684	92	20	function	function	NOUN
iajs-684	92	21	f	f	PROPN
iajs-684	92	22	from	from	ADP
iajs-684	92	23	which	which	PRON
iajs-684	92	24	is	be	AUX
iajs-684	92	25	l	l	NOUN
iajs-684	92	26	-	-	ADJ
iajs-684	92	27	pre-(l	pre-(l	ADJ
iajs-684	92	28	-	-	PUNCT
iajs-684	92	29	semi	semi	NOUN
iajs-684	92	30	-	-	ADJ
iajs-684	92	31	p-	p-	ADJ
iajs-684	92	32	)	)	PUNCT
iajs-684	92	33	-space	-space	NOUN
iajs-684	92	34	such	such	ADJ
iajs-684	92	35	that	that	PRON
iajs-684	92	36	.	.	PUNCT
iajs-684	93	1	proof	proof	NOUN
iajs-684	93	2	:	:	PUNCT
iajs-684	93	3	"	"	PUNCT
iajs-684	93	4	first	first	ADJ
iajs-684	93	5	direction	direction	NOUN
iajs-684	93	6	"	"	PUNCT
iajs-684	93	7	suppos	suppos	NOUN
iajs-684	93	8	that	that	PRON
iajs-684	93	9	space.if	space.if	X
iajs-684	93	10	we	we	PRON
iajs-684	93	11	take	take	VERB
iajs-684	93	12	the	the	DET
iajs-684	93	13	identity	identity	NOUN
iajs-684	93	14	function	function	NOUN
iajs-684	93	15	clear	clear	ADJ
iajs-684	93	16	that	that	PRON
iajs-684	93	17	is	be	AUX
iajs-684	93	18	l	l	NOUN
iajs-684	93	19	-	-	ADJ
iajs-684	93	20	pre	pre	ADJ
iajs-684	93	21	(	(	PUNCT
iajs-684	93	22	l	l	NOUN
iajs-684	93	23	-	-	PUNCT
iajs-684	93	24	semi	semi	ADJ
iajs-684	93	25	-	-	ADJ
iajs-684	93	26	p)-irresolute	p)-irresolute	ADJ
iajs-684	93	27	function	function	NOUN
iajs-684	93	28	.now	.now	PUNCT
iajs-684	94	1	let	let	VERB
iajs-684	94	2	,	,	PUNCT
iajs-684	94	3	it	it	PRON
iajs-684	94	4	follows	follow	VERB
iajs-684	94	5	that	that	PRON
iajs-684	94	6	.	.	PUNCT
iajs-684	95	1	"	"	PUNCT
iajs-684	95	2	second	second	ADJ
iajs-684	95	3	direction	direction	NOUN
iajs-684	95	4	"	"	PUNCT
iajs-684	95	5	let	let	AUX
iajs-684	95	6	be	be	AUX
iajs-684	95	7	an	an	DET
iajs-684	95	8	l	l	NOUN
iajs-684	95	9	-	-	ADJ
iajs-684	95	10	pre-(l	pre-(l	ADJ
iajs-684	95	11	-	-	PUNCT
iajs-684	95	12	semi	semi	NOUN
iajs-684	95	13	-	-	ADJ
iajs-684	95	14	p-	p-	ADJ
iajs-684	95	15	)	)	PUNCT
iajs-684	95	16	irresolute	irresolute	ADJ
iajs-684	95	17	function	function	NOUN
iajs-684	95	18	and	and	CCONJ
iajs-684	95	19	space	space	NOUN
iajs-684	95	20	and	and	CCONJ
iajs-684	95	21	let	let	VERB
iajs-684	95	22	,	,	PUNCT
iajs-684	95	23	then	then	ADV
iajs-684	95	24	by	by	ADP
iajs-684	95	25	ypothesis	ypothesis	NOUN
iajs-684	95	26	مجلة	مجلة	NOUN
iajs-684	95	27	إبن	إبن	NOUN
iajs-684	95	28	الھیثم	الھیثم	NOUN
iajs-684	95	29	للعلوم	للعلوم	NOUN
iajs-684	95	30	الصرفة	الصرفة	NOUN
iajs-684	95	31	و	و	PRON
iajs-684	95	32	التطبیقیة	التطبیقیة	PROPN
iajs-684	95	33	2012	2012	NUM
iajs-684	95	34	السنة	السنة	NOUN
iajs-684	96	1	25	25	NUM
iajs-684	96	2	المجلد	المجلد	NOUN
iajs-684	96	3	1	1	NUM
iajs-684	96	4	العدد	العدد	PROPN
iajs-684	96	5	ibn	ibn	PROPN
iajs-684	96	6	al	al	PROPN
iajs-684	96	7	-	-	PUNCT
iajs-684	96	8	haitham	haitham	PROPN
iajs-684	96	9	journal	journal	PROPN
iajs-684	96	10	for	for	ADP
iajs-684	96	11	pure	pure	ADJ
iajs-684	96	12	and	and	CCONJ
iajs-684	96	13	applied	apply	VERB
iajs-684	96	14	science	science	NOUN
iajs-684	96	15	no	no	NOUN
iajs-684	96	16	.	.	NOUN
iajs-684	96	17	1	1	NUM
iajs-684	96	18	vol	vol	NOUN
iajs-684	96	19	.	.	PUNCT
iajs-684	97	1	25	25	NUM
iajs-684	97	2	year	year	NOUN
iajs-684	97	3	2012	2012	NUM
iajs-684	97	4	.	.	PUNCT
iajs-684	98	1	so	so	ADV
iajs-684	98	2	there	there	PRON
iajs-684	98	3	are	be	VERB
iajs-684	98	4	l	l	NOUN
iajs-684	98	5	-	-	PUNCT
iajs-684	98	6	pre(l	pre(l	VERB
iajs-684	98	7	-	-	PUNCT
iajs-684	98	8	semi	semi	ADJ
iajs-684	98	9	-	-	ADJ
iajs-684	98	10	p)-open	p)-open	ADJ
iajs-684	98	11	sets	set	VERB
iajs-684	98	12	definition(2	definition(2	NOUN
iajs-684	98	13	.20	.20	NUM
iajs-684	98	14	):	):	PUNCT
iajs-684	98	15	a	a	DET
iajs-684	98	16	function	function	NOUN
iajs-684	98	17	is	be	AUX
iajs-684	98	18	called	call	VERB
iajs-684	98	19	:	:	PUNCT
iajs-684	99	1	1	1	X
iajs-684	99	2	.	.	PUNCT
iajs-684	99	3	"	"	PUNCT
iajs-684	100	1	l	l	NOUN
iajs-684	100	2	-	-	ADJ
iajs-684	100	3	pre	pre	ADJ
iajs-684	100	4	-	-	ADJ
iajs-684	100	5	open	open	ADJ
iajs-684	100	6	"	"	PUNCT
iajs-684	100	7	function	function	NOUN
iajs-684	100	8	if	if	SCONJ
iajs-684	100	9	and	and	CCONJ
iajs-684	100	10	only	only	ADV
iajs-684	100	11	if	if	SCONJ
iajs-684	100	12	2	2	NUM
iajs-684	100	13	.	.	PUNCT
iajs-684	101	1	"	"	PUNCT
iajs-684	101	2	l	l	NOUN
iajs-684	101	3	-	-	PUNCT
iajs-684	101	4	semi	semi	ADJ
iajs-684	101	5	-	-	ADJ
iajs-684	101	6	p	p	ADJ
iajs-684	101	7	-	-	PUNCT
iajs-684	101	8	open	open	ADJ
iajs-684	101	9	"	"	PUNCT
iajs-684	101	10	function	function	NOUN
iajs-684	101	11	if	if	SCONJ
iajs-684	101	12	and	and	CCONJ
iajs-684	101	13	only	only	ADV
iajs-684	101	14	if	if	SCONJ
iajs-684	101	15	3	3	NUM
iajs-684	101	16	.	.	PUNCT
iajs-684	102	1	"	"	PUNCT
iajs-684	102	2	l	l	NOUN
iajs-684	102	3	-	-	ADJ
iajs-684	102	4	pre	pre	ADJ
iajs-684	102	5	-	-	ADJ
iajs-684	102	6	closed	closed	ADJ
iajs-684	102	7	"	"	PUNCT
iajs-684	102	8	function	function	NOUN
iajs-684	102	9	if	if	SCONJ
iajs-684	102	10	and	and	CCONJ
iajs-684	102	11	only	only	ADV
iajs-684	102	12	if	if	SCONJ
iajs-684	102	13	4	4	NUM
iajs-684	102	14	.	.	PUNCT
iajs-684	103	1	"	"	PUNCT
iajs-684	103	2	l	l	NOUN
iajs-684	103	3	-	-	PUNCT
iajs-684	103	4	semi	semi	ADJ
iajs-684	103	5	-	-	ADJ
iajs-684	103	6	p	p	ADJ
iajs-684	103	7	-	-	PUNCT
iajs-684	103	8	closed	closed	ADJ
iajs-684	103	9	"	"	PUNCT
iajs-684	103	10	function	function	NOUN
iajs-684	103	11	if	if	SCONJ
iajs-684	103	12	and	and	CCONJ
iajs-684	103	13	only	only	ADV
iajs-684	103	14	if	if	SCONJ
iajs-684	103	15	.	.	PUNCT
iajs-684	104	1	proposition(2	proposition(2	NOUN
iajs-684	104	2	.21	.21	NUM
iajs-684	104	3	):	):	PUNCT
iajs-684	104	4	proof	proof	NOUN
iajs-684	104	5	:	:	PUNCT
iajs-684	104	6	مجلة	مجلة	NOUN
iajs-684	104	7	إبن	إبن	VERB
iajs-684	104	8	الھیثم	الھیثم	NOUN
iajs-684	104	9	للعلوم	للعلوم	NOUN
iajs-684	104	10	الصرفة	الصرفة	NOUN
iajs-684	104	11	و	و	PRON
iajs-684	104	12	التطبیقیة	التطبیقیة	PROPN
iajs-684	104	13	2012	2012	NUM
iajs-684	104	14	السنة	السنة	NOUN
iajs-684	105	1	25	25	NUM
iajs-684	106	1	المجلد	المجلد	NOUN
iajs-684	106	2	1	1	NUM
iajs-684	106	3	العدد	العدد	PROPN
iajs-684	106	4	ibn	ibn	PROPN
iajs-684	106	5	al	al	PROPN
iajs-684	106	6	-	-	PUNCT
iajs-684	106	7	haitham	haitham	PROPN
iajs-684	106	8	journal	journal	PROPN
iajs-684	106	9	for	for	ADP
iajs-684	106	10	pure	pure	ADJ
iajs-684	106	11	and	and	CCONJ
iajs-684	106	12	applied	apply	VERB
iajs-684	106	13	science	science	NOUN
iajs-684	106	14	no	no	NOUN
iajs-684	106	15	.	.	NOUN
iajs-684	106	16	1	1	NUM
iajs-684	106	17	vol	vol	NOUN
iajs-684	106	18	.	.	PUNCT
iajs-684	107	1	25	25	NUM
iajs-684	107	2	year	year	NOUN
iajs-684	107	3	2012	2012	NUM
iajs-684	107	4	references	reference	NOUN
iajs-684	107	5	1.navalagi	1.navalagi	NUM
iajs-684	107	6	,	,	PUNCT
iajs-684	107	7	g.b.(2000)”definition	g.b.(2000)”definition	NOUN
iajs-684	107	8	bank	bank	NOUN
iajs-684	107	9	in	in	ADP
iajs-684	107	10	general	general	ADJ
iajs-684	107	11	topology	topology	NOUN
iajs-684	107	12	”	"	PUNCT
iajs-684	107	13	which	which	PRON
iajs-684	107	14	is	be	AUX
iajs-684	107	15	available	available	ADJ
iajs-684	107	16	at	at	ADP
iajs-684	107	17	topology	topology	PROPN
iajs-684	107	18	atlas	atlas	PROPN
iajs-684	107	19	–	–	PUNCT
iajs-684	107	20	survey	survey	NOUN
iajs-684	107	21	articles	article	NOUN
iajs-684	107	22	section	section	NOUN
iajs-684	107	23	.	.	PUNCT
iajs-684	108	1	2	2	X
iajs-684	108	2	.	.	X
iajs-684	108	3	nasir	nasir	PROPN
iajs-684	108	4	,	,	PUNCT
iajs-684	108	5	a.i	a.i	PROPN
iajs-684	108	6	.	.	PROPN
iajs-684	108	7	(	(	PUNCT
iajs-684	108	8	2005)”some	2005)”some	NUM
iajs-684	108	9	kinds	kind	NOUN
iajs-684	108	10	of	of	ADP
iajs-684	108	11	strongly	strongly	ADV
iajs-684	108	12	compact	compact	ADJ
iajs-684	108	13	and	and	CCONJ
iajs-684	108	14	pairwise	pairwise	NOUN
iajs-684	108	15	compact	compact	ADJ
iajs-684	108	16	spaces”m.sc.thesis	spaces”m.sc.thesis	NOUN
iajs-684	108	17	,	,	PUNCT
iajs-684	108	18	university	university	NOUN
iajs-684	108	19	of	of	ADP
iajs-684	108	20	baghdad	baghdad	PROPN
iajs-684	108	21	,	,	PUNCT
iajs-684	108	22	iraq	iraq	PROPN
iajs-684	108	23	,	,	PUNCT
iajs-684	108	24	.	.	PUNCT
iajs-684	109	1	3.al	3.al	X
iajs-684	109	2	-	-	PUNCT
iajs-684	109	3	khazaraji	khazaraji	NOUN
iajs-684	109	4	,	,	PUNCT
iajs-684	109	5	r.b.(2004	r.b.(2004	PROPN
iajs-684	109	6	)	)	PUNCT
iajs-684	109	7	”	"	PUNCT
iajs-684	109	8	on	on	ADP
iajs-684	109	9	semi	semi	ADJ
iajs-684	109	10	-	-	ADJ
iajs-684	109	11	p	p	ADJ
iajs-684	109	12	-	-	PUNCT
iajs-684	109	13	open	open	ADJ
iajs-684	109	14	sets	set	NOUN
iajs-684	109	15	”	"	PUNCT
iajs-684	109	16	,	,	PUNCT
iajs-684	109	17	m.sc	m.sc	PROPN
iajs-684	109	18	.	.	PUNCT
iajs-684	109	19	thesis	thesis	NOUN
iajs-684	109	20	,	,	PUNCT
iajs-684	109	21	college	college	NOUN
iajs-684	109	22	of	of	ADP
iajs-684	109	23	education	education	PROPN
iajs-684	109	24	ibn	ibn	PROPN
iajs-684	109	25	al	al	PROPN
iajs-684	109	26	-	-	PUNCT
iajs-684	109	27	haitham	haitham	PROPN
iajs-684	109	28	,	,	PUNCT
iajs-684	109	29	university	university	NOUN
iajs-684	109	30	of	of	ADP
iajs-684	109	31	baghdad	baghdad	PROPN
iajs-684	109	32	,	,	PUNCT
iajs-684	109	33	.	.	PUNCT
iajs-684	110	1	4	4	X
iajs-684	110	2	.	.	X
iajs-684	110	3	kelly	kelly	PROPN
iajs-684	110	4	,	,	PUNCT
iajs-684	110	5	j.c.(1963	j.c.(1963	PROPN
iajs-684	110	6	)	)	PUNCT
iajs-684	110	7	”	"	PUNCT
iajs-684	110	8	bitopological	bitopological	ADJ
iajs-684	110	9	spaces	space	NOUN
iajs-684	110	10	”	"	PUNCT
iajs-684	110	11	,	,	PUNCT
iajs-684	110	12	proc.london	proc.london	PRON
iajs-684	110	13	math.soc.13:71	math.soc.13:71	ADJ
iajs-684	110	14	-	-	SYM
iajs-684	110	15	89	89	NUM
iajs-684	110	16	.	.	PUNCT
iajs-684	111	1	5.al	5.al	NUM
iajs-684	111	2	-	-	PUNCT
iajs-684	111	3	swid	swid	NOUN
iajs-684	111	4	,	,	PUNCT
iajs-684	111	5	l.a.(1994)”on	l.a.(1994)”on	ADJ
iajs-684	111	6	new	new	ADJ
iajs-684	111	7	separation	separation	NOUN
iajs-684	111	8	axioms	axiom	VERB
iajs-684	111	9	in	in	ADP
iajs-684	111	10	bitopological	bitopological	ADJ
iajs-684	111	11	spaces	space	NOUN
iajs-684	111	12	”	"	PUNCT
iajs-684	111	13	to	to	PART
iajs-684	111	14	appear	appear	VERB
iajs-684	111	15	.	.	PUNCT
iajs-684	112	1	6.al	6.al	NOUN
iajs-684	112	2	-	-	PUNCT
iajs-684	112	3	talkhany	talkhany	NOUN
iajs-684	112	4	,	,	PUNCT
iajs-684	112	5	y.k.(2001)”separation	y.k.(2001)”separation	NOUN
iajs-684	112	6	axioms	axiom	NOUN
iajs-684	112	7	in	in	ADP
iajs-684	112	8	bitopological	bitopological	ADJ
iajs-684	112	9	spaces	space	NOUN
iajs-684	112	10	“	"	PUNCT
iajs-684	112	11	,	,	PUNCT
iajs-684	112	12	research	research	NOUN
iajs-684	112	13	submitted	submit	VERB
iajs-684	112	14	to	to	ADP
iajs-684	112	15	college	college	NOUN
iajs-684	112	16	of	of	ADP
iajs-684	112	17	education	education	PROPN
iajs-684	112	18	babylon	babylon	PROPN
iajs-684	112	19	university	university	PROPN
iajs-684	112	20	as	as	ADP
iajs-684	112	21	apartial	apartial	ADJ
iajs-684	112	22	fulfillment	fulfillment	NOUN
iajs-684	112	23	of	of	ADP
iajs-684	112	24	the	the	DET
iajs-684	112	25	requirement	requirement	NOUN
iajs-684	112	26	for	for	ADP
iajs-684	112	27	degree	degree	NOUN
iajs-684	112	28	of	of	ADP
iajs-684	112	29	master	master	NOUN
iajs-684	112	30	of	of	ADP
iajs-684	112	31	science	science	NOUN
iajs-684	112	32	in	in	ADP
iajs-684	112	33	math	math	NOUN
iajs-684	112	34	.	.	PUNCT