id	sid	tid	token	lemma	pos
american_scientific_journal-3607	1	1	112	112	NUM
american_scientific_journal-3607	1	2	american	american	ADJ
american_scientific_journal-3607	1	3	scientific	scientific	ADJ
american_scientific_journal-3607	1	4	research	research	NOUN
american_scientific_journal-3607	1	5	journal	journal	NOUN
american_scientific_journal-3607	1	6	for	for	ADP
american_scientific_journal-3607	1	7	engineering	engineering	NOUN
american_scientific_journal-3607	1	8	,	,	PUNCT
american_scientific_journal-3607	1	9	technology	technology	NOUN
american_scientific_journal-3607	1	10	,	,	PUNCT
american_scientific_journal-3607	1	11	and	and	CCONJ
american_scientific_journal-3607	1	12	sciences	science	NOUN
american_scientific_journal-3607	1	13	(	(	PUNCT
american_scientific_journal-3607	1	14	asrjets	asrjet	NOUN
american_scientific_journal-3607	1	15	)	)	PUNCT
american_scientific_journal-3607	1	16	issn	issn	PROPN
american_scientific_journal-3607	1	17	(	(	PUNCT
american_scientific_journal-3607	1	18	print	print	NOUN
american_scientific_journal-3607	1	19	)	)	PUNCT
american_scientific_journal-3607	1	20	2313	2313	NUM
american_scientific_journal-3607	1	21	-	-	SYM
american_scientific_journal-3607	1	22	4410	4410	NUM
american_scientific_journal-3607	1	23	,	,	PUNCT
american_scientific_journal-3607	1	24	issn	issn	PROPN
american_scientific_journal-3607	1	25	(	(	PUNCT
american_scientific_journal-3607	1	26	online	online	ADJ
american_scientific_journal-3607	1	27	)	)	PUNCT
american_scientific_journal-3607	1	28	2313	2313	NUM
american_scientific_journal-3607	1	29	-	-	SYM
american_scientific_journal-3607	1	30	4402	4402	NUM
american_scientific_journal-3607	1	31	©	©	PROPN
american_scientific_journal-3607	1	32	global	global	ADJ
american_scientific_journal-3607	1	33	society	society	NOUN
american_scientific_journal-3607	1	34	of	of	ADP
american_scientific_journal-3607	1	35	scientific	scientific	ADJ
american_scientific_journal-3607	1	36	research	research	NOUN
american_scientific_journal-3607	1	37	and	and	CCONJ
american_scientific_journal-3607	1	38	researchers	researcher	NOUN
american_scientific_journal-3607	1	39	http://asrjetsjournal.org/	http://asrjetsjournal.org/	ADJ
american_scientific_journal-3607	1	40	extension	extension	NOUN
american_scientific_journal-3607	1	41	of	of	ADP
american_scientific_journal-3607	1	42	2	2	NUM
american_scientific_journal-3607	1	43	-	-	PUNCT
american_scientific_journal-3607	1	44	dimensional	dimensional	ADJ
american_scientific_journal-3607	1	45	planar	planar	ADJ
american_scientific_journal-3607	1	46	systems	system	NOUN
american_scientific_journal-3607	1	47	from	from	ADP
american_scientific_journal-3607	1	48	homological	homological	ADJ
american_scientific_journal-3607	1	49	algebra	algebra	PROPN
american_scientific_journal-3607	1	50	perspective	perspective	PROPN
american_scientific_journal-3607	1	51	dr	dr	PROPN
american_scientific_journal-3607	1	52	.	.	PROPN
american_scientific_journal-3607	1	53	lewis	lewis	PROPN
american_scientific_journal-3607	1	54	brewa	brewa	PROPN
american_scientific_journal-3607	1	55	*	*	PROPN
american_scientific_journal-3607	1	56	,	,	PUNCT
american_scientific_journal-3607	1	57	joseph	joseph	PROPN
american_scientific_journal-3607	1	58	acquahb	acquahb	PROPN
american_scientific_journal-3607	1	59	,	,	PUNCT
american_scientific_journal-3607	1	60	prof	prof	PROPN
american_scientific_journal-3607	1	61	.	.	PUNCT
american_scientific_journal-3607	2	1	newton	newton	PROPN
american_scientific_journal-3607	2	2	amegbeyc	amegbeyc	VERB
american_scientific_journal-3607	2	3	a	a	DET
american_scientific_journal-3607	2	4	,	,	PUNCT
american_scientific_journal-3607	2	5	buniversity	buniversity	NOUN
american_scientific_journal-3607	2	6	of	of	ADP
american_scientific_journal-3607	2	7	mines	mine	NOUN
american_scientific_journal-3607	2	8	and	and	CCONJ
american_scientific_journal-3607	2	9	technology	technology	NOUN
american_scientific_journal-3607	2	10	,	,	PUNCT
american_scientific_journal-3607	2	11	department	department	NOUN
american_scientific_journal-3607	2	12	of	of	ADP
american_scientific_journal-3607	2	13	mathematics	mathematics	PROPN
american_scientific_journal-3607	2	14	,	,	PUNCT
american_scientific_journal-3607	2	15	tarkwa	tarkwa	PROPN
american_scientific_journal-3607	2	16	,	,	PUNCT
american_scientific_journal-3607	2	17	ghana	ghana	PROPN
american_scientific_journal-3607	2	18	cuniversity	cuniversity	NOUN
american_scientific_journal-3607	2	19	of	of	ADP
american_scientific_journal-3607	2	20	mines	mine	NOUN
american_scientific_journal-3607	2	21	and	and	CCONJ
american_scientific_journal-3607	2	22	technology	technology	NOUN
american_scientific_journal-3607	2	23	,	,	PUNCT
american_scientific_journal-3607	2	24	faculty	faculty	NOUN
american_scientific_journal-3607	2	25	of	of	ADP
american_scientific_journal-3607	2	26	engineering	engineering	NOUN
american_scientific_journal-3607	2	27	,	,	PUNCT
american_scientific_journal-3607	2	28	tarkwa	tarkwa	PROPN
american_scientific_journal-3607	2	29	,	,	PUNCT
american_scientific_journal-3607	2	30	ghana	ghana	PROPN
american_scientific_journal-3607	2	31	aemail	aemail	NOUN
american_scientific_journal-3607	2	32	:	:	PUNCT
american_scientific_journal-3607	2	33	amolewis@yahoo.com	amolewis@yahoo.com	X
american_scientific_journal-3607	2	34	/	/	SYM
american_scientific_journal-3607	2	35	lbrew@umat.edu.gh	lbrew@umat.edu.gh	PROPN
american_scientific_journal-3607	2	36	bemail	bemail	NOUN
american_scientific_journal-3607	2	37	:	:	PUNCT
american_scientific_journal-3607	2	38	jacquah@umat.edu.gh	jacquah@umat.edu.gh	NOUN
american_scientific_journal-3607	2	39	cemail	cemail	NOUN
american_scientific_journal-3607	2	40	:	:	PUNCT
american_scientific_journal-3607	2	41	na.amegbey@umat.edu.gh	na.amegbey@umat.edu.gh	NUM
american_scientific_journal-3607	2	42	abstract	abstract	NOUN
american_scientific_journal-3607	2	43	this	this	DET
american_scientific_journal-3607	2	44	paper	paper	NOUN
american_scientific_journal-3607	2	45	presents	present	VERB
american_scientific_journal-3607	2	46	2	2	NUM
american_scientific_journal-3607	2	47	-	-	PUNCT
american_scientific_journal-3607	2	48	dimensional	dimensional	ADJ
american_scientific_journal-3607	2	49	(	(	PUNCT
american_scientific_journal-3607	2	50	2d	2d	NOUN
american_scientific_journal-3607	2	51	)	)	PUNCT
american_scientific_journal-3607	2	52	planar	planar	ADJ
american_scientific_journal-3607	2	53	system	system	NOUN
american_scientific_journal-3607	2	54	(	(	PUNCT
american_scientific_journal-3607	2	55	)	)	PUNCT
american_scientific_journal-3607	2	56	xt	xt	X
american_scientific_journal-3607	2	57	together	together	ADV
american_scientific_journal-3607	2	58	with	with	ADP
american_scientific_journal-3607	2	59	its	its	PRON
american_scientific_journal-3607	2	60	changes	change	NOUN
american_scientific_journal-3607	2	61	in	in	ADP
american_scientific_journal-3607	2	62	a	a	DET
american_scientific_journal-3607	2	63	topological	topological	ADJ
american_scientific_journal-3607	2	64	space	space	NOUN
american_scientific_journal-3607	2	65	x	x	PUNCT
american_scientific_journal-3607	2	66	as	as	ADP
american_scientific_journal-3607	2	67	a	a	DET
american_scientific_journal-3607	2	68	dynamical	dynamical	ADJ
american_scientific_journal-3607	2	69	system	system	NOUN
american_scientific_journal-3607	2	70	.	.	PUNCT
american_scientific_journal-3607	3	1	continuity	continuity	NOUN
american_scientific_journal-3607	3	2	which	which	PRON
american_scientific_journal-3607	3	3	is	be	AUX
american_scientific_journal-3607	3	4	one	one	NUM
american_scientific_journal-3607	3	5	of	of	ADP
american_scientific_journal-3607	3	6	the	the	DET
american_scientific_journal-3607	3	7	topological	topological	ADJ
american_scientific_journal-3607	3	8	properties	property	NOUN
american_scientific_journal-3607	3	9	can	can	AUX
american_scientific_journal-3607	3	10	be	be	AUX
american_scientific_journal-3607	3	11	observed	observe	VERB
american_scientific_journal-3607	3	12	from	from	ADP
american_scientific_journal-3607	3	13	the	the	DET
american_scientific_journal-3607	3	14	extension	extension	NOUN
american_scientific_journal-3607	3	15	of	of	ADP
american_scientific_journal-3607	3	16	systems	system	NOUN
american_scientific_journal-3607	3	17	.	.	PUNCT
american_scientific_journal-3607	4	1	this	this	DET
american_scientific_journal-3607	4	2	paper	paper	NOUN
american_scientific_journal-3607	4	3	therefore	therefore	ADV
american_scientific_journal-3607	4	4	searches	search	VERB
american_scientific_journal-3607	4	5	for	for	ADP
american_scientific_journal-3607	4	6	something	something	PRON
american_scientific_journal-3607	4	7	computable	computable	ADJ
american_scientific_journal-3607	4	8	or	or	CCONJ
american_scientific_journal-3607	4	9	an	an	DET
american_scientific_journal-3607	4	10	algebraic	algebraic	ADJ
american_scientific_journal-3607	4	11	invariant	invariant	ADJ
american_scientific_journal-3607	4	12	to	to	PART
american_scientific_journal-3607	4	13	identify	identify	VERB
american_scientific_journal-3607	4	14	this	this	DET
american_scientific_journal-3607	4	15	topological	topological	ADJ
american_scientific_journal-3607	4	16	property	property	NOUN
american_scientific_journal-3607	4	17	of	of	ADP
american_scientific_journal-3607	4	18	2d	2d	NUM
american_scientific_journal-3607	4	19	planar	planar	ADJ
american_scientific_journal-3607	4	20	system	system	NOUN
american_scientific_journal-3607	4	21	(	(	PUNCT
american_scientific_journal-3607	4	22	)	)	PUNCT
american_scientific_journal-3607	4	23	xt	xt	PROPN
american_scientific_journal-3607	4	24	.	.	PUNCT
american_scientific_journal-3607	5	1	the	the	DET
american_scientific_journal-3607	5	2	approach	approach	NOUN
american_scientific_journal-3607	5	3	is	be	AUX
american_scientific_journal-3607	5	4	based	base	VERB
american_scientific_journal-3607	5	5	on	on	ADP
american_scientific_journal-3607	5	6	the	the	DET
american_scientific_journal-3607	5	7	notion	notion	NOUN
american_scientific_journal-3607	5	8	of	of	ADP
american_scientific_journal-3607	5	9	chains	chain	NOUN
american_scientific_journal-3607	5	10	and	and	CCONJ
american_scientific_journal-3607	5	11	cochains	cochain	NOUN
american_scientific_journal-3607	5	12	from	from	ADP
american_scientific_journal-3607	5	13	homological	homological	ADJ
american_scientific_journal-3607	5	14	algebra	algebra	NOUN
american_scientific_journal-3607	5	15	since	since	SCONJ
american_scientific_journal-3607	5	16	the	the	DET
american_scientific_journal-3607	5	17	vertices	vertex	NOUN
american_scientific_journal-3607	5	18	and	and	CCONJ
american_scientific_journal-3607	5	19	the	the	DET
american_scientific_journal-3607	5	20	edges	edge	NOUN
american_scientific_journal-3607	5	21	are	be	AUX
american_scientific_journal-3607	5	22	represented	represent	VERB
american_scientific_journal-3607	5	23	by	by	ADP
american_scientific_journal-3607	5	24	the	the	DET
american_scientific_journal-3607	5	25	chain	chain	NOUN
american_scientific_journal-3607	5	26	groups	group	NOUN
american_scientific_journal-3607	5	27	.	.	PUNCT
american_scientific_journal-3607	6	1	the	the	DET
american_scientific_journal-3607	6	2	connectivity	connectivity	NOUN
american_scientific_journal-3607	6	3	between	between	ADP
american_scientific_journal-3607	6	4	different	different	ADJ
american_scientific_journal-3607	6	5	parallel	parallel	ADJ
american_scientific_journal-3607	6	6	chain	chain	NOUN
american_scientific_journal-3607	6	7	complexes	complex	NOUN
american_scientific_journal-3607	6	8	of	of	ADP
american_scientific_journal-3607	6	9	the	the	DET
american_scientific_journal-3607	6	10	system	system	NOUN
american_scientific_journal-3607	6	11	is	be	AUX
american_scientific_journal-3607	6	12	represented	represent	VERB
american_scientific_journal-3607	6	13	by	by	ADP
american_scientific_journal-3607	6	14	the	the	DET
american_scientific_journal-3607	6	15	cochain	cochain	NOUN
american_scientific_journal-3607	6	16	groups	group	NOUN
american_scientific_journal-3607	6	17	.	.	PUNCT
american_scientific_journal-3607	7	1	the	the	DET
american_scientific_journal-3607	7	2	extension	extension	NOUN
american_scientific_journal-3607	7	3	of	of	ADP
american_scientific_journal-3607	7	4	the	the	DET
american_scientific_journal-3607	7	5	2	2	NUM
american_scientific_journal-3607	7	6	-	-	PUNCT
american_scientific_journal-3607	7	7	dimensional	dimensional	ADJ
american_scientific_journal-3607	7	8	planar	planar	ADJ
american_scientific_journal-3607	7	9	system	system	NOUN
american_scientific_journal-3607	7	10	given	give	VERB
american_scientific_journal-3607	7	11	by	by	ADP
american_scientific_journal-3607	7	12	the	the	DET
american_scientific_journal-3607	7	13	homomorphism	homomorphism	PROPN
american_scientific_journal-3607	7	14	(	(	PUNCT
american_scientific_journal-3607	7	15	)	)	PUNCT
american_scientific_journal-3607	7	16	,	,	PUNCT
american_scientific_journal-3607	7	17	f	f	PROPN
american_scientific_journal-3607	7	18	b	b	PROPN
american_scientific_journal-3607	7	19	x	x	PUNCT
american_scientific_journal-3607	7	20	for	for	ADP
american_scientific_journal-3607	7	21	each	each	DET
american_scientific_journal-3607	7	22	parameter	parameter	NOUN
american_scientific_journal-3607	7	23	zb∈	zb∈	PROPN
american_scientific_journal-3607	7	24	is	be	AUX
american_scientific_journal-3607	7	25	the	the	DET
american_scientific_journal-3607	7	26	sequence	sequence	NOUN
american_scientific_journal-3607	7	27	of	of	ADP
american_scientific_journal-3607	7	28	the	the	DET
american_scientific_journal-3607	7	29	cochain	cochain	NOUN
american_scientific_journal-3607	7	30	groups	group	NOUN
american_scientific_journal-3607	7	31	.	.	PUNCT
american_scientific_journal-3607	8	1	the	the	DET
american_scientific_journal-3607	8	2	surface	surface	NOUN
american_scientific_journal-3607	8	3	area	area	NOUN
american_scientific_journal-3607	8	4	of	of	ADP
american_scientific_journal-3607	8	5	the	the	DET
american_scientific_journal-3607	8	6	system	system	NOUN
american_scientific_journal-3607	8	7	is	be	AUX
american_scientific_journal-3607	8	8	represented	represent	VERB
american_scientific_journal-3607	8	9	by	by	ADP
american_scientific_journal-3607	8	10	a	a	DET
american_scientific_journal-3607	8	11	cocycle	cocycle	NOUN
american_scientific_journal-3607	8	12	and	and	CCONJ
american_scientific_journal-3607	8	13	each	each	DET
american_scientific_journal-3607	8	14	cocycle	cocycle	NOUN
american_scientific_journal-3607	8	15	is	be	AUX
american_scientific_journal-3607	8	16	provided	provide	VERB
american_scientific_journal-3607	8	17	by	by	ADP
american_scientific_journal-3607	8	18	a	a	DET
american_scientific_journal-3607	8	19	change	change	NOUN
american_scientific_journal-3607	8	20	in	in	ADP
american_scientific_journal-3607	8	21	the	the	DET
american_scientific_journal-3607	8	22	parameter	parameter	NOUN
american_scientific_journal-3607	8	23	zb∈	zb∈	PROPN
american_scientific_journal-3607	8	24	.	.	PUNCT
american_scientific_journal-3607	9	1	the	the	DET
american_scientific_journal-3607	9	2	dynamical	dynamical	ADJ
american_scientific_journal-3607	9	3	properties	property	NOUN
american_scientific_journal-3607	9	4	of	of	ADP
american_scientific_journal-3607	9	5	the	the	DET
american_scientific_journal-3607	9	6	system	system	NOUN
american_scientific_journal-3607	9	7	are	be	AUX
american_scientific_journal-3607	9	8	studied	study	VERB
american_scientific_journal-3607	9	9	by	by	ADP
american_scientific_journal-3607	9	10	analysing	analyse	VERB
american_scientific_journal-3607	9	11	different	different	ADJ
american_scientific_journal-3607	9	12	cocycle	cocycle	NOUN
american_scientific_journal-3607	9	13	over	over	ADP
american_scientific_journal-3607	9	14	it	it	PRON
american_scientific_journal-3607	9	15	.	.	PUNCT
american_scientific_journal-3607	10	1	the	the	DET
american_scientific_journal-3607	10	2	novel	novel	ADJ
american_scientific_journal-3607	10	3	feature	feature	NOUN
american_scientific_journal-3607	10	4	is	be	AUX
american_scientific_journal-3607	10	5	the	the	DET
american_scientific_journal-3607	10	6	extension	extension	NOUN
american_scientific_journal-3607	10	7	of	of	ADP
american_scientific_journal-3607	10	8	the	the	DET
american_scientific_journal-3607	10	9	systems	system	NOUN
american_scientific_journal-3607	10	10	using	use	VERB
american_scientific_journal-3607	10	11	the	the	DET
american_scientific_journal-3607	10	12	map	map	NOUN
american_scientific_journal-3607	10	13	(	(	PUNCT
american_scientific_journal-3607	10	14	)	)	PUNCT
american_scientific_journal-3607	10	15	,	,	PUNCT
american_scientific_journal-3607	10	16	f	f	PROPN
american_scientific_journal-3607	10	17	b	b	PROPN
american_scientific_journal-3607	10	18	x	x	X
american_scientific_journal-3607	10	19	,	,	PUNCT
american_scientific_journal-3607	10	20	the	the	DET
american_scientific_journal-3607	10	21	cocycle	cocycle	NOUN
american_scientific_journal-3607	10	22	and	and	CCONJ
american_scientific_journal-3607	10	23	the	the	DET
american_scientific_journal-3607	10	24	1st	1st	ADJ
american_scientific_journal-3607	10	25	-	-	PUNCT
american_scientific_journal-3607	10	26	cohomology	cohomology	NOUN
american_scientific_journal-3607	10	27	group	group	NOUN
american_scientific_journal-3607	10	28	which	which	PRON
american_scientific_journal-3607	10	29	are	be	AUX
american_scientific_journal-3607	10	30	detailed	detail	VERB
american_scientific_journal-3607	10	31	in	in	ADP
american_scientific_journal-3607	10	32	the	the	DET
american_scientific_journal-3607	10	33	paper	paper	NOUN
american_scientific_journal-3607	10	34	.	.	PUNCT
american_scientific_journal-3607	11	1	keywords	keyword	NOUN
american_scientific_journal-3607	11	2	:	:	PUNCT
american_scientific_journal-3607	11	3	cochain	cochain	NOUN
american_scientific_journal-3607	11	4	groups	group	NOUN
american_scientific_journal-3607	11	5	;	;	PUNCT
american_scientific_journal-3607	11	6	chain	chain	NOUN
american_scientific_journal-3607	11	7	groups	group	NOUN
american_scientific_journal-3607	11	8	;	;	PUNCT
american_scientific_journal-3607	11	9	cocycle	cocycle	NOUN
american_scientific_journal-3607	11	10	;	;	PUNCT
american_scientific_journal-3607	11	11	1st	1st	ADJ
american_scientific_journal-3607	11	12	-	-	PUNCT
american_scientific_journal-3607	11	13	cohomology	cohomology	NOUN
american_scientific_journal-3607	11	14	group	group	NOUN
american_scientific_journal-3607	11	15	;	;	PUNCT
american_scientific_journal-3607	11	16	homotopy	homotopy	PROPN
american_scientific_journal-3607	11	17	,	,	PUNCT
american_scientific_journal-3607	11	18	dynamical	dynamical	ADJ
american_scientific_journal-3607	11	19	system	system	NOUN
american_scientific_journal-3607	11	20	;	;	PUNCT
american_scientific_journal-3607	11	21	exact	exact	ADJ
american_scientific_journal-3607	11	22	sequence	sequence	NOUN
american_scientific_journal-3607	11	23	;	;	PUNCT
american_scientific_journal-3607	11	24	long	long	ADJ
american_scientific_journal-3607	11	25	exact	exact	ADJ
american_scientific_journal-3607	11	26	sequence	sequence	NOUN
american_scientific_journal-3607	11	27	;	;	PUNCT
american_scientific_journal-3607	11	28	2	2	NUM
american_scientific_journal-3607	11	29	-	-	ADJ
american_scientific_journal-3607	11	30	dimensional	dimensional	ADJ
american_scientific_journal-3607	11	31	(	(	PUNCT
american_scientific_journal-3607	11	32	2d	2d	NOUN
american_scientific_journal-3607	11	33	)	)	PUNCT
american_scientific_journal-3607	11	34	planar	planar	ADJ
american_scientific_journal-3607	11	35	system	system	NOUN
american_scientific_journal-3607	11	36	in	in	ADP
american_scientific_journal-3607	11	37	the	the	DET
american_scientific_journal-3607	11	38	space	space	NOUN
american_scientific_journal-3607	11	39	x	x	X
american_scientific_journal-3607	11	40	(	(	PUNCT
american_scientific_journal-3607	11	41	)	)	PUNCT
american_scientific_journal-3607	11	42	xt	xt	PROPN
american_scientific_journal-3607	11	43	;	;	PUNCT
american_scientific_journal-3607	11	44	chain	chain	NOUN
american_scientific_journal-3607	11	45	complex	complex	NOUN
american_scientific_journal-3607	11	46	and	and	CCONJ
american_scientific_journal-3607	11	47	cochain	cochain	NOUN
american_scientific_journal-3607	11	48	complex	complex	ADJ
american_scientific_journal-3607	11	49	.	.	PUNCT
american_scientific_journal-3607	12	1	-----------------------------------------------------------------------	-----------------------------------------------------------------------	PUNCT
american_scientific_journal-3607	13	1	*	*	PUNCT
american_scientific_journal-3607	13	2	corresponding	correspond	VERB
american_scientific_journal-3607	13	3	author	author	NOUN
american_scientific_journal-3607	13	4	.	.	PUNCT
american_scientific_journal-3607	14	1	http://asrjetsjournal.org/	http://asrjetsjournal.org/	PROPN
american_scientific_journal-3607	14	2	american	american	PROPN
american_scientific_journal-3607	14	3	scientific	scientific	PROPN
american_scientific_journal-3607	14	4	research	research	NOUN
american_scientific_journal-3607	14	5	journal	journal	NOUN
american_scientific_journal-3607	14	6	for	for	ADP
american_scientific_journal-3607	14	7	engineering	engineering	NOUN
american_scientific_journal-3607	14	8	,	,	PUNCT
american_scientific_journal-3607	14	9	technology	technology	NOUN
american_scientific_journal-3607	14	10	,	,	PUNCT
american_scientific_journal-3607	14	11	and	and	CCONJ
american_scientific_journal-3607	14	12	sciences	science	NOUN
american_scientific_journal-3607	14	13	(	(	PUNCT
american_scientific_journal-3607	14	14	asrjets	asrjet	NOUN
american_scientific_journal-3607	14	15	)	)	PUNCT
american_scientific_journal-3607	14	16	(	(	PUNCT
american_scientific_journal-3607	14	17	2017	2017	NUM
american_scientific_journal-3607	14	18	)	)	PUNCT
american_scientific_journal-3607	14	19	volume	volume	NOUN
american_scientific_journal-3607	14	20	38	38	NUM
american_scientific_journal-3607	14	21	,	,	PUNCT
american_scientific_journal-3607	14	22	no	no	DET
american_scientific_journal-3607	14	23	1	1	NUM
american_scientific_journal-3607	14	24	,	,	PUNCT
american_scientific_journal-3607	14	25	pp	pp	ADV
american_scientific_journal-3607	14	26	112	112	NUM
american_scientific_journal-3607	14	27	-	-	SYM
american_scientific_journal-3607	14	28	117	117	NUM
american_scientific_journal-3607	14	29	113	113	NUM
american_scientific_journal-3607	14	30	1	1	NUM
american_scientific_journal-3607	14	31	.	.	PUNCT
american_scientific_journal-3607	15	1	introduction	introduction	NOUN
american_scientific_journal-3607	15	2	the	the	DET
american_scientific_journal-3607	15	3	study	study	NOUN
american_scientific_journal-3607	15	4	of	of	ADP
american_scientific_journal-3607	15	5	dynamical	dynamical	ADJ
american_scientific_journal-3607	15	6	systems	system	NOUN
american_scientific_journal-3607	15	7	involves	involve	VERB
american_scientific_journal-3607	15	8	a	a	DET
american_scientific_journal-3607	15	9	wide	wide	ADJ
american_scientific_journal-3607	15	10	range	range	NOUN
american_scientific_journal-3607	15	11	of	of	ADP
american_scientific_journal-3607	15	12	methods	method	NOUN
american_scientific_journal-3607	15	13	of	of	ADP
american_scientific_journal-3607	15	14	analysing	analyse	VERB
american_scientific_journal-3607	15	15	iterated	iterated	ADJ
american_scientific_journal-3607	15	16	mappings	mapping	NOUN
american_scientific_journal-3607	15	17	.	.	PUNCT
american_scientific_journal-3607	16	1	these	these	DET
american_scientific_journal-3607	16	2	varied	varied	ADJ
american_scientific_journal-3607	16	3	methods	method	NOUN
american_scientific_journal-3607	16	4	,	,	PUNCT
american_scientific_journal-3607	16	5	which	which	PRON
american_scientific_journal-3607	16	6	are	be	AUX
american_scientific_journal-3607	16	7	due	due	ADJ
american_scientific_journal-3607	16	8	to	to	ADP
american_scientific_journal-3607	16	9	developments	development	NOUN
american_scientific_journal-3607	16	10	in	in	ADP
american_scientific_journal-3607	16	11	mathematics	mathematic	NOUN
american_scientific_journal-3607	16	12	,	,	PUNCT
american_scientific_journal-3607	16	13	have	have	AUX
american_scientific_journal-3607	16	14	made	make	VERB
american_scientific_journal-3607	16	15	it	it	PRON
american_scientific_journal-3607	16	16	necessary	necessary	ADJ
american_scientific_journal-3607	16	17	to	to	PART
american_scientific_journal-3607	16	18	consider	consider	VERB
american_scientific_journal-3607	16	19	the	the	DET
american_scientific_journal-3607	16	20	study	study	NOUN
american_scientific_journal-3607	16	21	of	of	ADP
american_scientific_journal-3607	16	22	dynamical	dynamical	ADJ
american_scientific_journal-3607	16	23	system	system	NOUN
american_scientific_journal-3607	16	24	from	from	ADP
american_scientific_journal-3607	16	25	other	other	ADJ
american_scientific_journal-3607	16	26	different	different	ADJ
american_scientific_journal-3607	16	27	perspective	perspective	NOUN
american_scientific_journal-3607	16	28	as	as	SCONJ
american_scientific_journal-3607	16	29	carried	carry	VERB
american_scientific_journal-3607	16	30	out	out	ADP
american_scientific_journal-3607	16	31	by	by	ADP
american_scientific_journal-3607	16	32	this	this	DET
american_scientific_journal-3607	16	33	paper	paper	NOUN
american_scientific_journal-3607	16	34	.	.	PUNCT
american_scientific_journal-3607	17	1	in	in	ADP
american_scientific_journal-3607	17	2	this	this	DET
american_scientific_journal-3607	17	3	paper	paper	NOUN
american_scientific_journal-3607	17	4	,	,	PUNCT
american_scientific_journal-3607	17	5	the	the	DET
american_scientific_journal-3607	17	6	issue	issue	NOUN
american_scientific_journal-3607	17	7	of	of	ADP
american_scientific_journal-3607	17	8	the	the	DET
american_scientific_journal-3607	17	9	extension	extension	NOUN
american_scientific_journal-3607	17	10	or	or	CCONJ
american_scientific_journal-3607	17	11	changes	change	NOUN
american_scientific_journal-3607	17	12	of	of	ADP
american_scientific_journal-3607	17	13	2d	2d	NUM
american_scientific_journal-3607	17	14	planar	planar	ADJ
american_scientific_journal-3607	17	15	system	system	NOUN
american_scientific_journal-3607	17	16	is	be	AUX
american_scientific_journal-3607	17	17	studied	study	VERB
american_scientific_journal-3607	17	18	via	via	ADP
american_scientific_journal-3607	17	19	the	the	DET
american_scientific_journal-3607	17	20	homomorphism	homomorphism	NOUN
american_scientific_journal-3607	17	21	1	1	NUM
american_scientific_journal-3607	17	22	:	:	SYM
american_scientific_journal-3607	17	23	b	b	X
american_scientific_journal-3607	17	24	bf	bf	NOUN
american_scientific_journal-3607	17	25	c	c	NOUN
american_scientific_journal-3607	17	26	c−	c−	NOUN
american_scientific_journal-3607	17	27	→	→	PUNCT
american_scientific_journal-3607	17	28	where	where	SCONJ
american_scientific_journal-3607	17	29	c∗	c∗	PROPN
american_scientific_journal-3607	17	30	is	be	AUX
american_scientific_journal-3607	17	31	the	the	DET
american_scientific_journal-3607	17	32	cochain	cochain	NOUN
american_scientific_journal-3607	17	33	map	map	NOUN
american_scientific_journal-3607	17	34	of	of	ADP
american_scientific_journal-3607	17	35	the	the	DET
american_scientific_journal-3607	17	36	chain	chain	NOUN
american_scientific_journal-3607	17	37	groups	group	NOUN
american_scientific_journal-3607	17	38	c∗	c∗	PROPN
american_scientific_journal-3607	17	39	of	of	ADP
american_scientific_journal-3607	17	40	the	the	DET
american_scientific_journal-3607	17	41	system	system	NOUN
american_scientific_journal-3607	17	42	and	and	CCONJ
american_scientific_journal-3607	17	43	f	f	PROPN
american_scientific_journal-3607	17	44	is	be	AUX
american_scientific_journal-3607	17	45	the	the	DET
american_scientific_journal-3607	17	46	homomorphism	homomorphism	NOUN
american_scientific_journal-3607	17	47	of	of	ADP
american_scientific_journal-3607	17	48	the	the	DET
american_scientific_journal-3607	17	49	cochain	cochain	NOUN
american_scientific_journal-3607	17	50	maps	map	VERB
american_scientific_journal-3607	17	51	[	[	X
american_scientific_journal-3607	17	52	2	2	NUM
american_scientific_journal-3607	17	53	]	]	PUNCT
american_scientific_journal-3607	17	54	.	.	PUNCT
american_scientific_journal-3607	18	1	the	the	DET
american_scientific_journal-3607	18	2	concepts	concept	NOUN
american_scientific_journal-3607	18	3	of	of	ADP
american_scientific_journal-3607	18	4	cocycles	cocycle	NOUN
american_scientific_journal-3607	18	5	,	,	PUNCT
american_scientific_journal-3607	18	6	cochain	cochain	NOUN
american_scientific_journal-3607	18	7	complexes	complex	NOUN
american_scientific_journal-3607	18	8	and	and	CCONJ
american_scientific_journal-3607	18	9	the	the	DET
american_scientific_journal-3607	18	10	1st	1st	ADJ
american_scientific_journal-3607	18	11	cohomology	cohomology	NOUN
american_scientific_journal-3607	18	12	group	group	NOUN
american_scientific_journal-3607	18	13	are	be	AUX
american_scientific_journal-3607	18	14	used	use	VERB
american_scientific_journal-3607	18	15	to	to	PART
american_scientific_journal-3607	18	16	study	study	VERB
american_scientific_journal-3607	18	17	the	the	DET
american_scientific_journal-3607	18	18	connectivity	connectivity	NOUN
american_scientific_journal-3607	18	19	of	of	ADP
american_scientific_journal-3607	18	20	each	each	DET
american_scientific_journal-3607	18	21	extended	extended	ADJ
american_scientific_journal-3607	18	22	system	system	NOUN
american_scientific_journal-3607	18	23	.	.	PUNCT
american_scientific_journal-3607	19	1	let	let	VERB
american_scientific_journal-3607	19	2	x	x	PRON
american_scientific_journal-3607	19	3	be	be	AUX
american_scientific_journal-3607	19	4	a	a	DET
american_scientific_journal-3607	19	5	topological	topological	ADJ
american_scientific_journal-3607	19	6	space	space	NOUN
american_scientific_journal-3607	19	7	and	and	CCONJ
american_scientific_journal-3607	19	8	let	let	VERB
american_scientific_journal-3607	19	9	(	(	PUNCT
american_scientific_journal-3607	19	10	)	)	PUNCT
american_scientific_journal-3607	19	11	bc	bc	PROPN
american_scientific_journal-3607	19	12	x	x	X
american_scientific_journal-3607	19	13	and	and	CCONJ
american_scientific_journal-3607	19	14	(	(	PUNCT
american_scientific_journal-3607	19	15	)	)	PUNCT
american_scientific_journal-3607	19	16	bd	bd	PROPN
american_scientific_journal-3607	19	17	x	x	VERB
american_scientific_journal-3607	19	18	be	be	AUX
american_scientific_journal-3607	19	19	two	two	NUM
american_scientific_journal-3607	19	20	different	different	ADJ
american_scientific_journal-3607	19	21	horizontal	horizontal	ADJ
american_scientific_journal-3607	19	22	parallel	parallel	ADJ
american_scientific_journal-3607	19	23	singular	singular	ADJ
american_scientific_journal-3607	19	24	chain	chain	NOUN
american_scientific_journal-3607	19	25	complexes	complex	NOUN
american_scientific_journal-3607	19	26	in	in	ADP
american_scientific_journal-3607	19	27	the	the	DET
american_scientific_journal-3607	19	28	space	space	NOUN
american_scientific_journal-3607	19	29	where	where	SCONJ
american_scientific_journal-3607	19	30	each	each	DET
american_scientific_journal-3607	19	31	chain	chain	NOUN
american_scientific_journal-3607	19	32	complex	complex	NOUN
american_scientific_journal-3607	19	33	is	be	AUX
american_scientific_journal-3607	19	34	connected	connect	VERB
american_scientific_journal-3607	19	35	together	together	ADV
american_scientific_journal-3607	19	36	by	by	ADP
american_scientific_journal-3607	19	37	a	a	DET
american_scientific_journal-3607	19	38	boundary	boundary	ADJ
american_scientific_journal-3607	19	39	b∂	b∂	NOUN
american_scientific_journal-3607	19	40	.	.	PUNCT
american_scientific_journal-3607	20	1	if	if	SCONJ
american_scientific_journal-3607	20	2	the	the	DET
american_scientific_journal-3607	20	3	horizontal	horizontal	ADJ
american_scientific_journal-3607	20	4	chain	chain	NOUN
american_scientific_journal-3607	20	5	complexes	complex	NOUN
american_scientific_journal-3607	20	6	(	(	PUNCT
american_scientific_journal-3607	20	7	)	)	PUNCT
american_scientific_journal-3607	20	8	bc	bc	PROPN
american_scientific_journal-3607	20	9	x	x	X
american_scientific_journal-3607	20	10	and	and	CCONJ
american_scientific_journal-3607	20	11	(	(	PUNCT
american_scientific_journal-3607	20	12	)	)	PUNCT
american_scientific_journal-3607	20	13	1bd	1bd	NOUN
american_scientific_journal-3607	20	14	x+	x+	NUM
american_scientific_journal-3607	20	15	are	be	AUX
american_scientific_journal-3607	20	16	connected	connect	VERB
american_scientific_journal-3607	20	17	together	together	ADV
american_scientific_journal-3607	20	18	by	by	ADP
american_scientific_journal-3607	20	19	the	the	DET
american_scientific_journal-3607	20	20	cochain	cochain	NOUN
american_scientific_journal-3607	20	21	map	map	NOUN
american_scientific_journal-3607	20	22	(	(	PUNCT
american_scientific_journal-3607	20	23	)	)	PUNCT
american_scientific_journal-3607	20	24	(	(	PUNCT
american_scientific_journal-3607	20	25	)	)	PUNCT
american_scientific_journal-3607	20	26	1	1	NUM
american_scientific_journal-3607	20	27	:	:	SYM
american_scientific_journal-3607	20	28	b	b	PROPN
american_scientific_journal-3607	20	29	b	b	PROPN
american_scientific_journal-3607	20	30	bc	bc	PROPN
american_scientific_journal-3607	20	31	c	c	PROPN
american_scientific_journal-3607	20	32	x	x	PUNCT
american_scientific_journal-3607	21	1	d	d	X
american_scientific_journal-3607	21	2	x+→	x+→	PROPN
american_scientific_journal-3607	21	3	,	,	PUNCT
american_scientific_journal-3607	21	4	then	then	ADV
american_scientific_journal-3607	21	5	the	the	DET
american_scientific_journal-3607	21	6	cochain	cochain	NOUN
american_scientific_journal-3607	21	7	complex	complex	NOUN
american_scientific_journal-3607	21	8	consisting	consisting	NOUN
american_scientific_journal-3607	21	9	of	of	ADP
american_scientific_journal-3607	21	10	group	group	NOUN
american_scientific_journal-3607	21	11	of	of	ADP
american_scientific_journal-3607	21	12	homomorphisms	homomorphism	NOUN
american_scientific_journal-3607	21	13	1	1	NUM
american_scientific_journal-3607	21	14	:	:	PUNCT
american_scientific_journal-3607	21	15	b	b	X
american_scientific_journal-3607	21	16	bf	bf	NOUN
american_scientific_journal-3607	21	17	c	c	NOUN
american_scientific_journal-3607	21	18	c−	c−	NOUN
american_scientific_journal-3607	21	19	→	→	PUNCT
american_scientific_journal-3607	21	20	for	for	ADP
american_scientific_journal-3607	21	21	0b	0b	NOUN
american_scientific_journal-3607	21	22	≥	≥	NUM
american_scientific_journal-3607	21	23	where	where	SCONJ
american_scientific_journal-3607	21	24	1	1	NUM
american_scientific_journal-3607	21	25	1	1	NUM
american_scientific_journal-3607	21	26	b	b	X
american_scientific_journal-3607	21	27	b	b	PROPN
american_scientific_journal-3607	21	28	b	b	PROPN
american_scientific_journal-3607	21	29	bc	bc	X
american_scientific_journal-3607	21	30	c−	c−	PROPN
american_scientific_journal-3607	21	31	+	+	NOUN
american_scientific_journal-3607	21	32	∂	∂	NUM
american_scientific_journal-3607	21	33	=	=	SYM
american_scientific_journal-3607	21	34	∂	∂	NUM
american_scientific_journal-3607	21	35	provides	provide	VERB
american_scientific_journal-3607	21	36	a	a	DET
american_scientific_journal-3607	21	37	closed	closed	ADJ
american_scientific_journal-3607	21	38	structure	structure	NOUN
american_scientific_journal-3607	21	39	called	call	VERB
american_scientific_journal-3607	21	40	a	a	DET
american_scientific_journal-3607	21	41	2d	2d	NUM
american_scientific_journal-3607	21	42	planar	planar	ADJ
american_scientific_journal-3607	21	43	system	system	NOUN
american_scientific_journal-3607	21	44	(	(	PUNCT
american_scientific_journal-3607	21	45	)	)	PUNCT
american_scientific_journal-3607	21	46	xt	xt	PROPN
american_scientific_journal-3607	21	47	.	.	PUNCT
american_scientific_journal-3607	22	1	the	the	DET
american_scientific_journal-3607	22	2	closed	closed	ADJ
american_scientific_journal-3607	22	3	surface	surface	NOUN
american_scientific_journal-3607	22	4	area	area	NOUN
american_scientific_journal-3607	22	5	exhibited	exhibit	VERB
american_scientific_journal-3607	22	6	by	by	ADP
american_scientific_journal-3607	22	7	2d	2d	NUM
american_scientific_journal-3607	22	8	planar	planar	ADJ
american_scientific_journal-3607	22	9	system	system	NOUN
american_scientific_journal-3607	22	10	is	be	AUX
american_scientific_journal-3607	22	11	homeomorphic	homeomorphic	ADJ
american_scientific_journal-3607	22	12	to	to	ADP
american_scientific_journal-3607	22	13	2	2	NUM
american_scientific_journal-3607	22	14	-	-	PUNCT
american_scientific_journal-3607	22	15	cell	cell	NOUN
american_scientific_journal-3607	22	16	and	and	CCONJ
american_scientific_journal-3607	22	17	is	be	AUX
american_scientific_journal-3607	22	18	called	call	VERB
american_scientific_journal-3607	22	19	cocycle	cocycle	NOUN
american_scientific_journal-3607	22	20	.	.	PUNCT
american_scientific_journal-3607	23	1	the	the	DET
american_scientific_journal-3607	23	2	variable	variable	ADJ
american_scientific_journal-3607	23	3	0b	0b	PROPN
american_scientific_journal-3607	23	4	≥	≥	PRON
american_scientific_journal-3607	23	5	outlines	outline	VERB
american_scientific_journal-3607	23	6	the	the	DET
american_scientific_journal-3607	23	7	changes	change	NOUN
american_scientific_journal-3607	23	8	in	in	ADP
american_scientific_journal-3607	23	9	the	the	DET
american_scientific_journal-3607	23	10	2d	2d	NUM
american_scientific_journal-3607	23	11	planar	planar	ADJ
american_scientific_journal-3607	23	12	system	system	NOUN
american_scientific_journal-3607	23	13	at	at	ADP
american_scientific_journal-3607	23	14	any	any	DET
american_scientific_journal-3607	23	15	time	time	NOUN
american_scientific_journal-3607	23	16	,	,	PUNCT
american_scientific_journal-3607	23	17	as	as	SCONJ
american_scientific_journal-3607	23	18	the	the	DET
american_scientific_journal-3607	23	19	homomorphism	homomorphism	PROPN
american_scientific_journal-3607	23	20	(	(	PUNCT
american_scientific_journal-3607	23	21	)	)	PUNCT
american_scientific_journal-3607	23	22	,	,	PUNCT
american_scientific_journal-3607	23	23	f	f	PROPN
american_scientific_journal-3607	23	24	b	b	PROPN
american_scientific_journal-3607	23	25	x	x	PROPN
american_scientific_journal-3607	23	26	continues	continue	VERB
american_scientific_journal-3607	23	27	to	to	PART
american_scientific_journal-3607	23	28	evolve	evolve	VERB
american_scientific_journal-3607	23	29	.	.	PUNCT
american_scientific_journal-3607	24	1	an	an	DET
american_scientific_journal-3607	24	2	abstract	abstract	ADJ
american_scientific_journal-3607	24	3	complex	complex	NOUN
american_scientific_journal-3607	24	4	or	or	CCONJ
american_scientific_journal-3607	24	5	system	system	NOUN
american_scientific_journal-3607	24	6	is	be	AUX
american_scientific_journal-3607	24	7	a	a	DET
american_scientific_journal-3607	24	8	formal	formal	ADJ
american_scientific_journal-3607	24	9	construction	construction	NOUN
american_scientific_journal-3607	24	10	that	that	PRON
american_scientific_journal-3607	24	11	builds	build	VERB
american_scientific_journal-3607	24	12	a	a	DET
american_scientific_journal-3607	24	13	space	space	NOUN
american_scientific_journal-3607	24	14	in	in	ADP
american_scientific_journal-3607	24	15	a	a	DET
american_scientific_journal-3607	24	16	combinatorial	combinatorial	ADJ
american_scientific_journal-3607	24	17	way	way	NOUN
american_scientific_journal-3607	24	18	through	through	ADP
american_scientific_journal-3607	24	19	more	more	ADJ
american_scientific_journal-3607	24	20	simple	simple	ADJ
american_scientific_journal-3607	24	21	objects	object	NOUN
american_scientific_journal-3607	24	22	.	.	PUNCT
american_scientific_journal-3607	25	1	in	in	ADP
american_scientific_journal-3607	25	2	this	this	DET
american_scientific_journal-3607	25	3	paper	paper	NOUN
american_scientific_journal-3607	25	4	,	,	PUNCT
american_scientific_journal-3607	25	5	the	the	DET
american_scientific_journal-3607	25	6	simple	simple	ADJ
american_scientific_journal-3607	25	7	objects	object	NOUN
american_scientific_journal-3607	25	8	of	of	ADP
american_scientific_journal-3607	25	9	a	a	DET
american_scientific_journal-3607	25	10	system	system	NOUN
american_scientific_journal-3607	25	11	are	be	AUX
american_scientific_journal-3607	25	12	the	the	DET
american_scientific_journal-3607	25	13	vertices	vertex	NOUN
american_scientific_journal-3607	25	14	and	and	CCONJ
american_scientific_journal-3607	25	15	the	the	DET
american_scientific_journal-3607	25	16	edges	edge	NOUN
american_scientific_journal-3607	25	17	joining	join	VERB
american_scientific_journal-3607	25	18	the	the	DET
american_scientific_journal-3607	25	19	vertices	vertex	NOUN
american_scientific_journal-3607	25	20	.	.	PUNCT
american_scientific_journal-3607	26	1	the	the	DET
american_scientific_journal-3607	26	2	vertices	vertex	NOUN
american_scientific_journal-3607	26	3	correspond	correspond	VERB
american_scientific_journal-3607	26	4	to	to	ADP
american_scientific_journal-3607	26	5	0	0	NUM
american_scientific_journal-3607	26	6	-	-	PUNCT
american_scientific_journal-3607	26	7	chain	chain	NOUN
american_scientific_journal-3607	26	8	groups	group	NOUN
american_scientific_journal-3607	26	9	and	and	CCONJ
american_scientific_journal-3607	26	10	the	the	DET
american_scientific_journal-3607	26	11	edges	edge	NOUN
american_scientific_journal-3607	26	12	correspond	correspond	VERB
american_scientific_journal-3607	26	13	to	to	ADP
american_scientific_journal-3607	26	14	1	1	NUM
american_scientific_journal-3607	26	15	chain	chain	NOUN
american_scientific_journal-3607	26	16	groups	group	NOUN
american_scientific_journal-3607	27	1	[	[	X
american_scientific_journal-3607	27	2	1	1	NUM
american_scientific_journal-3607	27	3	]	]	PUNCT
american_scientific_journal-3607	27	4	.	.	PUNCT
american_scientific_journal-3607	28	1	therefore	therefore	ADV
american_scientific_journal-3607	28	2	2d	2d	PROPN
american_scientific_journal-3607	28	3	planar	planar	ADJ
american_scientific_journal-3607	28	4	system	system	NOUN
american_scientific_journal-3607	28	5	inherits	inherit	VERB
american_scientific_journal-3607	28	6	a	a	DET
american_scientific_journal-3607	28	7	cell	cell	NOUN
american_scientific_journal-3607	28	8	complex	complex	NOUN
american_scientific_journal-3607	28	9	with	with	SCONJ
american_scientific_journal-3607	28	10	four	four	NUM
american_scientific_journal-3607	28	11	vertices	vertex	NOUN
american_scientific_journal-3607	28	12	,	,	PUNCT
american_scientific_journal-3607	28	13	four	four	NUM
american_scientific_journal-3607	28	14	edges	edge	NOUN
american_scientific_journal-3607	28	15	and	and	CCONJ
american_scientific_journal-3607	28	16	one	one	NUM
american_scientific_journal-3607	28	17	2cell	2cell	NUM
american_scientific_journal-3607	28	18	and	and	CCONJ
american_scientific_journal-3607	28	19	its	its	PRON
american_scientific_journal-3607	28	20	extension	extension	NOUN
american_scientific_journal-3607	28	21	over	over	ADP
american_scientific_journal-3607	28	22	time	time	NOUN
american_scientific_journal-3607	28	23	0b	0b	PROPN
american_scientific_journal-3607	28	24	≥	≥	NOUN
american_scientific_journal-3607	28	25	is	be	AUX
american_scientific_journal-3607	28	26	determined	determine	VERB
american_scientific_journal-3607	28	27	through	through	ADP
american_scientific_journal-3607	28	28	the	the	DET
american_scientific_journal-3607	28	29	homomorphism	homomorphism	NOUN
american_scientific_journal-3607	28	30	(	(	PUNCT
american_scientific_journal-3607	28	31	)	)	PUNCT
american_scientific_journal-3607	28	32	,	,	PUNCT
american_scientific_journal-3607	29	1	f	f	PROPN
american_scientific_journal-3607	29	2	b	b	PROPN
american_scientific_journal-3607	29	3	x	x	PROPN
american_scientific_journal-3607	29	4	.	.	PUNCT
american_scientific_journal-3607	30	1	1.1	1.1	NUM
american_scientific_journal-3607	30	2	2d	2d	NUM
american_scientific_journal-3607	30	3	planar	planar	ADJ
american_scientific_journal-3607	30	4	systems	system	NOUN
american_scientific_journal-3607	30	5	let	let	VERB
american_scientific_journal-3607	30	6	the	the	DET
american_scientific_journal-3607	30	7	cochain	cochain	NOUN
american_scientific_journal-3607	30	8	(	(	PUNCT
american_scientific_journal-3607	30	9	)	)	PUNCT
american_scientific_journal-3607	30	10	(	(	PUNCT
american_scientific_journal-3607	30	11	)	)	PUNCT
american_scientific_journal-3607	30	12	1	1	NUM
american_scientific_journal-3607	30	13	:	:	SYM
american_scientific_journal-3607	30	14	b	b	PROPN
american_scientific_journal-3607	30	15	b	b	PROPN
american_scientific_journal-3607	30	16	bc	bc	PROPN
american_scientific_journal-3607	30	17	c	c	PROPN
american_scientific_journal-3607	30	18	x	x	PUNCT
american_scientific_journal-3607	31	1	d	d	X
american_scientific_journal-3607	31	2	x+→	x+→	PROPN
american_scientific_journal-3607	31	3	be	be	AUX
american_scientific_journal-3607	31	4	a	a	DET
american_scientific_journal-3607	31	5	map	map	NOUN
american_scientific_journal-3607	31	6	of	of	ADP
american_scientific_journal-3607	31	7	the	the	DET
american_scientific_journal-3607	31	8	chain	chain	NOUN
american_scientific_journal-3607	31	9	complexes	complex	NOUN
american_scientific_journal-3607	31	10	of	of	ADP
american_scientific_journal-3607	31	11	the	the	DET
american_scientific_journal-3607	31	12	system	system	NOUN
american_scientific_journal-3607	31	13	in	in	ADP
american_scientific_journal-3607	31	14	a	a	DET
american_scientific_journal-3607	31	15	topological	topological	ADJ
american_scientific_journal-3607	31	16	space	space	NOUN
american_scientific_journal-3607	31	17	x	x	PUNCT
american_scientific_journal-3607	31	18	such	such	ADJ
american_scientific_journal-3607	31	19	that	that	SCONJ
american_scientific_journal-3607	31	20	the	the	DET
american_scientific_journal-3607	31	21	differentials	differential	NOUN
american_scientific_journal-3607	31	22	b∂	b∂	NOUN
american_scientific_journal-3607	31	23	and	and	CCONJ
american_scientific_journal-3607	31	24	1b+∂	1b+∂	NUM
american_scientific_journal-3607	31	25	are	be	AUX
american_scientific_journal-3607	31	26	the	the	DET
american_scientific_journal-3607	31	27	connecting	connect	VERB
american_scientific_journal-3607	31	28	homomorphism	homomorphism	NOUN
american_scientific_journal-3607	31	29	of	of	ADP
american_scientific_journal-3607	31	30	the	the	DET
american_scientific_journal-3607	31	31	chain	chain	NOUN
american_scientific_journal-3607	31	32	complexes	complex	NOUN
american_scientific_journal-3607	31	33	bc	bc	PROPN
american_scientific_journal-3607	31	34	and	and	CCONJ
american_scientific_journal-3607	31	35	1bd	1bd	NOUN
american_scientific_journal-3607	32	1	+	+	X
american_scientific_journal-3607	32	2	.	.	PUNCT
american_scientific_journal-3607	33	1	if	if	SCONJ
american_scientific_journal-3607	33	2	the	the	DET
american_scientific_journal-3607	33	3	two	two	NUM
american_scientific_journal-3607	33	4	parallel	parallel	ADJ
american_scientific_journal-3607	33	5	chain	chain	NOUN
american_scientific_journal-3607	33	6	complexes	complex	NOUN
american_scientific_journal-3607	33	7	(	(	PUNCT
american_scientific_journal-3607	33	8	)	)	PUNCT
american_scientific_journal-3607	33	9	(	(	PUNCT
american_scientific_journal-3607	33	10	)	)	PUNCT
american_scientific_journal-3607	33	11	1	1	NUM
american_scientific_journal-3607	33	12	:	:	SYM
american_scientific_journal-3607	33	13	b	b	PROPN
american_scientific_journal-3607	33	14	b	b	X
american_scientific_journal-3607	33	15	bc	bc	PROPN
american_scientific_journal-3607	33	16	x	x	PROPN
american_scientific_journal-3607	33	17	c	c	NOUN
american_scientific_journal-3607	33	18	x−∂	x−∂	PROPN
american_scientific_journal-3607	33	19	→	→	PUNCT
american_scientific_journal-3607	33	20	and	and	CCONJ
american_scientific_journal-3607	33	21	(	(	PUNCT
american_scientific_journal-3607	33	22	)	)	PUNCT
american_scientific_journal-3607	33	23	(	(	PUNCT
american_scientific_journal-3607	33	24	)	)	PUNCT
american_scientific_journal-3607	33	25	1	1	NUM
american_scientific_journal-3607	33	26	1	1	NUM
american_scientific_journal-3607	33	27	:	:	PUNCT
american_scientific_journal-3607	33	28	db	db	PROPN
american_scientific_journal-3607	33	29	b	b	X
american_scientific_journal-3607	33	30	bx	bx	X
american_scientific_journal-3607	33	31	d	d	X
american_scientific_journal-3607	33	32	x+	x+	PUNCT
american_scientific_journal-3607	33	33	+	+	NOUN
american_scientific_journal-3607	33	34	∂	∂	NUM
american_scientific_journal-3607	33	35	→	→	NOUN
american_scientific_journal-3607	33	36	are	be	AUX
american_scientific_journal-3607	33	37	connected	connect	VERB
american_scientific_journal-3607	33	38	together	together	ADV
american_scientific_journal-3607	33	39	by	by	ADP
american_scientific_journal-3607	33	40	cochain	cochain	NOUN
american_scientific_journal-3607	33	41	bc	bc	PROPN
american_scientific_journal-3607	33	42	such	such	ADJ
american_scientific_journal-3607	33	43	that	that	DET
american_scientific_journal-3607	33	44	1f	1f	PROPN
american_scientific_journal-3607	33	45	:	:	PUNCT
american_scientific_journal-3607	33	46	b	b	X
american_scientific_journal-3607	33	47	bc	bc	X
american_scientific_journal-3607	33	48	c−	c−	PROPN
american_scientific_journal-3607	33	49	→	→	SYM
american_scientific_journal-3607	33	50	is	be	AUX
american_scientific_journal-3607	33	51	a	a	DET
american_scientific_journal-3607	33	52	map	map	NOUN
american_scientific_journal-3607	33	53	of	of	ADP
american_scientific_journal-3607	33	54	cochain	cochain	NOUN
american_scientific_journal-3607	33	55	complexes	complex	NOUN
american_scientific_journal-3607	33	56	and	and	CCONJ
american_scientific_journal-3607	33	57	1	1	NUM
american_scientific_journal-3607	33	58	1	1	NUM
american_scientific_journal-3607	33	59	b	b	PROPN
american_scientific_journal-3607	33	60	b	b	PROPN
american_scientific_journal-3607	33	61	b	b	PROPN
american_scientific_journal-3607	33	62	bc	bc	X
american_scientific_journal-3607	33	63	c−	c−	PROPN
american_scientific_journal-3607	33	64	+	+	NOUN
american_scientific_journal-3607	33	65	∂	∂	NUM
american_scientific_journal-3607	33	66	=	=	SYM
american_scientific_journal-3607	33	67	∂	∂	NOUN
american_scientific_journal-3607	33	68	then	then	ADV
american_scientific_journal-3607	33	69	the	the	DET
american_scientific_journal-3607	33	70	combination	combination	NOUN
american_scientific_journal-3607	33	71	of	of	ADP
american_scientific_journal-3607	33	72	chain	chain	NOUN
american_scientific_journal-3607	33	73	and	and	CCONJ
american_scientific_journal-3607	33	74	cochain	cochain	NOUN
american_scientific_journal-3607	33	75	complexes	complex	NOUN
american_scientific_journal-3607	33	76	as	as	SCONJ
american_scientific_journal-3607	33	77	illustrated	illustrate	VERB
american_scientific_journal-3607	33	78	at	at	ADP
american_scientific_journal-3607	33	79	figure	figure	NOUN
american_scientific_journal-3607	33	80	1.0	1.0	NUM
american_scientific_journal-3607	33	81	is	be	AUX
american_scientific_journal-3607	33	82	a	a	DET
american_scientific_journal-3607	33	83	2d	2d	NUM
american_scientific_journal-3607	33	84	planar	planar	ADJ
american_scientific_journal-3607	33	85	system	system	NOUN
american_scientific_journal-3607	33	86	.	.	PUNCT
american_scientific_journal-3607	34	1	american	american	ADJ
american_scientific_journal-3607	34	2	scientific	scientific	ADJ
american_scientific_journal-3607	34	3	research	research	PROPN
american_scientific_journal-3607	34	4	journal	journal	NOUN
american_scientific_journal-3607	34	5	for	for	ADP
american_scientific_journal-3607	34	6	engineering	engineering	NOUN
american_scientific_journal-3607	34	7	,	,	PUNCT
american_scientific_journal-3607	34	8	technology	technology	NOUN
american_scientific_journal-3607	34	9	,	,	PUNCT
american_scientific_journal-3607	34	10	and	and	CCONJ
american_scientific_journal-3607	34	11	sciences	science	NOUN
american_scientific_journal-3607	34	12	(	(	PUNCT
american_scientific_journal-3607	34	13	asrjets	asrjet	NOUN
american_scientific_journal-3607	34	14	)	)	PUNCT
american_scientific_journal-3607	34	15	(	(	PUNCT
american_scientific_journal-3607	34	16	2017	2017	NUM
american_scientific_journal-3607	34	17	)	)	PUNCT
american_scientific_journal-3607	34	18	volume	volume	NOUN
american_scientific_journal-3607	34	19	38	38	NUM
american_scientific_journal-3607	34	20	,	,	PUNCT
american_scientific_journal-3607	34	21	no	no	DET
american_scientific_journal-3607	34	22	1	1	NUM
american_scientific_journal-3607	34	23	,	,	PUNCT
american_scientific_journal-3607	34	24	pp	pp	ADV
american_scientific_journal-3607	34	25	112	112	NUM
american_scientific_journal-3607	34	26	-	-	SYM
american_scientific_journal-3607	34	27	117	117	NUM
american_scientific_journal-3607	34	28	114	114	NUM
american_scientific_journal-3607	34	29	figure	figure	NOUN
american_scientific_journal-3607	34	30	1	1	NUM
american_scientific_journal-3607	34	31	:	:	PUNCT
american_scientific_journal-3607	34	32	2d	2d	NUM
american_scientific_journal-3607	34	33	planar	planar	ADJ
american_scientific_journal-3607	34	34	system	system	NOUN
american_scientific_journal-3607	34	35	the	the	DET
american_scientific_journal-3607	34	36	long	long	ADJ
american_scientific_journal-3607	34	37	exact	exact	ADJ
american_scientific_journal-3607	34	38	sequence	sequence	NOUN
american_scientific_journal-3607	34	39	of	of	ADP
american_scientific_journal-3607	34	40	the	the	DET
american_scientific_journal-3607	34	41	2d	2d	NUM
american_scientific_journal-3607	34	42	planar	planar	ADJ
american_scientific_journal-3607	34	43	system	system	NOUN
american_scientific_journal-3607	34	44	increases	increase	VERB
american_scientific_journal-3607	34	45	the	the	DET
american_scientific_journal-3607	34	46	degree	degree	NOUN
american_scientific_journal-3607	34	47	of	of	ADP
american_scientific_journal-3607	34	48	the	the	DET
american_scientific_journal-3607	34	49	cochain	cochain	NOUN
american_scientific_journal-3607	34	50	groups	group	NOUN
american_scientific_journal-3607	34	51	.	.	PUNCT
american_scientific_journal-3607	35	1	according	accord	VERB
american_scientific_journal-3607	35	2	to	to	ADP
american_scientific_journal-3607	35	3	[	[	X
american_scientific_journal-3607	35	4	3	3	X
american_scientific_journal-3607	35	5	]	]	X
american_scientific_journal-3607	35	6	the	the	DET
american_scientific_journal-3607	35	7	long	long	ADJ
american_scientific_journal-3607	35	8	exact	exact	ADJ
american_scientific_journal-3607	35	9	sequence	sequence	NOUN
american_scientific_journal-3607	35	10	is	be	AUX
american_scientific_journal-3607	35	11	another	another	DET
american_scientific_journal-3607	35	12	form	form	NOUN
american_scientific_journal-3607	35	13	of	of	ADP
american_scientific_journal-3607	35	14	defining	define	VERB
american_scientific_journal-3607	35	15	the	the	DET
american_scientific_journal-3607	35	16	extension	extension	NOUN
american_scientific_journal-3607	35	17	of	of	ADP
american_scientific_journal-3607	35	18	a	a	DET
american_scientific_journal-3607	35	19	short	short	ADJ
american_scientific_journal-3607	35	20	exact	exact	ADJ
american_scientific_journal-3607	35	21	sequence	sequence	NOUN
american_scientific_journal-3607	35	22	.	.	PUNCT
american_scientific_journal-3607	36	1	thus	thus	ADV
american_scientific_journal-3607	36	2	,	,	PUNCT
american_scientific_journal-3607	36	3	if	if	SCONJ
american_scientific_journal-3607	36	4	0	0	NUM
american_scientific_journal-3607	36	5	0f	0f	PROPN
american_scientific_journal-3607	36	6	ga	ga	PROPN
american_scientific_journal-3607	36	7	b	b	PROPN
american_scientific_journal-3607	36	8	c→	c→	NOUN
american_scientific_journal-3607	36	9	→	→	NOUN
american_scientific_journal-3607	36	10	→	→	NOUN
american_scientific_journal-3607	36	11	→	→	NOUN
american_scientific_journal-3607	36	12	is	be	AUX
american_scientific_journal-3607	36	13	a	a	DET
american_scientific_journal-3607	36	14	short	short	ADJ
american_scientific_journal-3607	36	15	exact	exact	ADJ
american_scientific_journal-3607	36	16	sequence	sequence	NOUN
american_scientific_journal-3607	36	17	of	of	ADP
american_scientific_journal-3607	36	18	the	the	DET
american_scientific_journal-3607	36	19	cochain	cochain	NOUN
american_scientific_journal-3607	36	20	complexes	complex	NOUN
american_scientific_journal-3607	36	21	,	,	PUNCT
american_scientific_journal-3607	36	22	then	then	ADV
american_scientific_journal-3607	36	23	there	there	PRON
american_scientific_journal-3607	36	24	exists	exist	VERB
american_scientific_journal-3607	36	25	natural	natural	ADJ
american_scientific_journal-3607	36	26	maps	map	NOUN
american_scientific_journal-3607	36	27	(	(	PUNCT
american_scientific_journal-3607	36	28	)	)	PUNCT
american_scientific_journal-3607	36	29	(	(	PUNCT
american_scientific_journal-3607	36	30	)	)	PUNCT
american_scientific_journal-3607	36	31	1	1	NUM
american_scientific_journal-3607	36	32	:	:	PUNCT
american_scientific_journal-3607	37	1	d	d	X
american_scientific_journal-3607	37	2	dh	dh	NOUN
american_scientific_journal-3607	37	3	c	c	NOUN
american_scientific_journal-3607	37	4	h	h	NOUN
american_scientific_journal-3607	37	5	a+∂	a+∂	PROPN
american_scientific_journal-3607	37	6	→	→	PUNCT
american_scientific_journal-3607	37	7	which	which	PRON
american_scientific_journal-3607	37	8	provides	provide	VERB
american_scientific_journal-3607	37	9	the	the	DET
american_scientific_journal-3607	37	10	long	long	ADJ
american_scientific_journal-3607	37	11	exact	exact	ADJ
american_scientific_journal-3607	37	12	sequence	sequence	NOUN
american_scientific_journal-3607	37	13	(	(	PUNCT
american_scientific_journal-3607	37	14	)	)	PUNCT
american_scientific_journal-3607	37	15	(	(	PUNCT
american_scientific_journal-3607	37	16	)	)	PUNCT
american_scientific_journal-3607	37	17	(	(	PUNCT
american_scientific_journal-3607	37	18	)	)	PUNCT
american_scientific_journal-3607	37	19	(	(	PUNCT
american_scientific_journal-3607	37	20	)	)	PUNCT
american_scientific_journal-3607	37	21	(	(	PUNCT
american_scientific_journal-3607	37	22	)	)	PUNCT
american_scientific_journal-3607	37	23	1	1	NUM
american_scientific_journal-3607	37	24	1f	1f	NUM
american_scientific_journal-3607	37	25	gd	gd	PROPN
american_scientific_journal-3607	38	1	d	d	PROPN
american_scientific_journal-3607	38	2	d	d	PROPN
american_scientific_journal-3607	39	1	d	d	X
american_scientific_journal-3607	39	2	dh	dh	NOUN
american_scientific_journal-3607	39	3	c	c	NOUN
american_scientific_journal-3607	39	4	h	h	NOUN
american_scientific_journal-3607	39	5	a	a	DET
american_scientific_journal-3607	39	6	h	h	NOUN
american_scientific_journal-3607	40	1	b	b	NOUN
american_scientific_journal-3607	40	2	h	h	NOUN
american_scientific_journal-3607	40	3	c	c	NOUN
american_scientific_journal-3607	40	4	h	h	NOUN
american_scientific_journal-3607	40	5	a∂	a∂	PROPN
american_scientific_journal-3607	41	1	∂−	∂−	PROPN
american_scientific_journal-3607	42	1	+	+	PROPN
american_scientific_journal-3607	42	2	→	→	PROPN
american_scientific_journal-3607	42	3	→	→	NOUN
american_scientific_journal-3607	42	4	→	→	NOUN
american_scientific_journal-3607	42	5	→	→	NOUN
american_scientific_journal-3607	42	6	→	→	NOUN
american_scientific_journal-3607	42	7	as	as	ADP
american_scientific_journal-3607	42	8	the	the	DET
american_scientific_journal-3607	42	9	extension	extension	NOUN
american_scientific_journal-3607	42	10	of	of	ADP
american_scientific_journal-3607	42	11	the	the	DET
american_scientific_journal-3607	42	12	short	short	ADJ
american_scientific_journal-3607	42	13	exact	exact	ADJ
american_scientific_journal-3607	42	14	sequence	sequence	NOUN
american_scientific_journal-3607	42	15	.	.	PUNCT
american_scientific_journal-3607	43	1	proposition	proposition	NOUN
american_scientific_journal-3607	43	2	1.2	1.2	NUM
american_scientific_journal-3607	43	3	a	a	DET
american_scientific_journal-3607	43	4	2d	2d	NUM
american_scientific_journal-3607	43	5	planar	planar	ADJ
american_scientific_journal-3607	43	6	system	system	NOUN
american_scientific_journal-3607	43	7	is	be	AUX
american_scientific_journal-3607	43	8	obtained	obtain	VERB
american_scientific_journal-3607	43	9	if	if	SCONJ
american_scientific_journal-3607	43	10	the	the	DET
american_scientific_journal-3607	43	11	chain	chain	NOUN
american_scientific_journal-3607	43	12	complexes	complex	NOUN
american_scientific_journal-3607	43	13	(	(	PUNCT
american_scientific_journal-3607	43	14	)	)	PUNCT
american_scientific_journal-3607	43	15	(	(	PUNCT
american_scientific_journal-3607	43	16	)	)	PUNCT
american_scientific_journal-3607	43	17	1	1	NUM
american_scientific_journal-3607	43	18	:	:	SYM
american_scientific_journal-3607	43	19	b	b	PROPN
american_scientific_journal-3607	43	20	b	b	X
american_scientific_journal-3607	43	21	bc	bc	PROPN
american_scientific_journal-3607	43	22	x	x	PROPN
american_scientific_journal-3607	43	23	c	c	NOUN
american_scientific_journal-3607	43	24	x−∂	x−∂	PROPN
american_scientific_journal-3607	43	25	→	→	PUNCT
american_scientific_journal-3607	43	26	and	and	CCONJ
american_scientific_journal-3607	43	27	(	(	PUNCT
american_scientific_journal-3607	43	28	)	)	PUNCT
american_scientific_journal-3607	43	29	(	(	PUNCT
american_scientific_journal-3607	43	30	)	)	PUNCT
american_scientific_journal-3607	43	31	1	1	NUM
american_scientific_journal-3607	43	32	1	1	NUM
american_scientific_journal-3607	43	33	:	:	PUNCT
american_scientific_journal-3607	43	34	db	db	PROPN
american_scientific_journal-3607	43	35	b	b	X
american_scientific_journal-3607	43	36	bx	bx	X
american_scientific_journal-3607	43	37	d	d	X
american_scientific_journal-3607	43	38	x+	x+	PUNCT
american_scientific_journal-3607	44	1	+	+	NOUN
american_scientific_journal-3607	44	2	∂	∂	NUM
american_scientific_journal-3607	44	3	→	→	NOUN
american_scientific_journal-3607	44	4	are	be	AUX
american_scientific_journal-3607	44	5	connected	connect	VERB
american_scientific_journal-3607	44	6	together	together	ADV
american_scientific_journal-3607	44	7	by	by	ADP
american_scientific_journal-3607	44	8	cochain	cochain	NOUN
american_scientific_journal-3607	44	9	bc	bc	PROPN
american_scientific_journal-3607	44	10	such	such	ADJ
american_scientific_journal-3607	44	11	that	that	SCONJ
american_scientific_journal-3607	44	12	there	there	PRON
american_scientific_journal-3607	44	13	exists	exist	VERB
american_scientific_journal-3607	44	14	a	a	DET
american_scientific_journal-3607	44	15	map	map	NOUN
american_scientific_journal-3607	44	16	1f	1f	NOUN
american_scientific_journal-3607	44	17	:	:	PUNCT
american_scientific_journal-3607	44	18	b	b	NUM
american_scientific_journal-3607	44	19	bc	bc	X
american_scientific_journal-3607	44	20	c−	c−	X
american_scientific_journal-3607	44	21	→	→	SYM
american_scientific_journal-3607	44	22	of	of	ADP
american_scientific_journal-3607	44	23	cochain	cochain	NOUN
american_scientific_journal-3607	44	24	complexes	complex	NOUN
american_scientific_journal-3607	44	25	and	and	CCONJ
american_scientific_journal-3607	44	26	1	1	NUM
american_scientific_journal-3607	44	27	1	1	NUM
american_scientific_journal-3607	44	28	b	b	PROPN
american_scientific_journal-3607	44	29	b	b	PROPN
american_scientific_journal-3607	44	30	b	b	PROPN
american_scientific_journal-3607	44	31	bc	bc	X
american_scientific_journal-3607	44	32	c−	c−	PROPN
american_scientific_journal-3607	44	33	+	+	NOUN
american_scientific_journal-3607	44	34	∂	∂	NOUN
american_scientific_journal-3607	44	35	=	=	SYM
american_scientific_journal-3607	44	36	∂	∂	NOUN
american_scientific_journal-3607	44	37	.	.	PUNCT
american_scientific_journal-3607	45	1	proof	proof	NOUN
american_scientific_journal-3607	45	2	let	let	VERB
american_scientific_journal-3607	45	3	x	x	PRON
american_scientific_journal-3607	45	4	be	be	AUX
american_scientific_journal-3607	45	5	a	a	DET
american_scientific_journal-3607	45	6	space	space	NOUN
american_scientific_journal-3607	45	7	containing	contain	VERB
american_scientific_journal-3607	45	8	2d	2d	NUM
american_scientific_journal-3607	45	9	planar	planar	ADJ
american_scientific_journal-3607	45	10	system	system	NOUN
american_scientific_journal-3607	45	11	and	and	CCONJ
american_scientific_journal-3607	45	12	(	(	PUNCT
american_scientific_journal-3607	45	13	)	)	PUNCT
american_scientific_journal-3607	45	14	(	(	PUNCT
american_scientific_journal-3607	45	15	)	)	PUNCT
american_scientific_journal-3607	45	16	1	1	NUM
american_scientific_journal-3607	45	17	:	:	SYM
american_scientific_journal-3607	45	18	b	b	PROPN
american_scientific_journal-3607	45	19	b	b	X
american_scientific_journal-3607	45	20	bc	bc	PROPN
american_scientific_journal-3607	45	21	x	x	PROPN
american_scientific_journal-3607	45	22	c	c	NOUN
american_scientific_journal-3607	45	23	x−∂	x−∂	PROPN
american_scientific_journal-3607	45	24	→	→	PUNCT
american_scientific_journal-3607	45	25	and	and	CCONJ
american_scientific_journal-3607	45	26	(	(	PUNCT
american_scientific_journal-3607	45	27	)	)	PUNCT
american_scientific_journal-3607	45	28	(	(	PUNCT
american_scientific_journal-3607	45	29	)	)	PUNCT
american_scientific_journal-3607	45	30	1	1	NUM
american_scientific_journal-3607	45	31	1	1	NUM
american_scientific_journal-3607	45	32	:	:	PUNCT
american_scientific_journal-3607	45	33	db	db	PROPN
american_scientific_journal-3607	45	34	b	b	X
american_scientific_journal-3607	45	35	bx	bx	X
american_scientific_journal-3607	46	1	d	d	X
american_scientific_journal-3607	46	2	x+	x+	PUNCT
american_scientific_journal-3607	47	1	+	+	NOUN
american_scientific_journal-3607	47	2	∂	∂	NUM
american_scientific_journal-3607	47	3	→	→	PUNCT
american_scientific_journal-3607	47	4	be	be	AUX
american_scientific_journal-3607	47	5	any	any	DET
american_scientific_journal-3607	47	6	two	two	NUM
american_scientific_journal-3607	47	7	horizontal	horizontal	ADJ
american_scientific_journal-3607	47	8	parallel	parallel	ADJ
american_scientific_journal-3607	47	9	chain	chain	NOUN
american_scientific_journal-3607	47	10	complexes	complex	NOUN
american_scientific_journal-3607	47	11	connected	connect	VERB
american_scientific_journal-3607	47	12	together	together	ADV
american_scientific_journal-3607	47	13	by	by	ADP
american_scientific_journal-3607	47	14	a	a	DET
american_scientific_journal-3607	47	15	cochain	cochain	NOUN
american_scientific_journal-3607	47	16	map	map	NOUN
american_scientific_journal-3607	47	17	bc	bc	PROPN
american_scientific_journal-3607	47	18	as	as	SCONJ
american_scientific_journal-3607	47	19	shown	show	VERB
american_scientific_journal-3607	47	20	at	at	ADP
american_scientific_journal-3607	47	21	figure	figure	NOUN
american_scientific_journal-3607	47	22	1.0	1.0	NUM
american_scientific_journal-3607	47	23	.	.	PUNCT
american_scientific_journal-3607	48	1	let	let	VERB
american_scientific_journal-3607	48	2	bτ	bτ	PRON
american_scientific_journal-3607	48	3	be	be	AUX
american_scientific_journal-3607	48	4	a	a	DET
american_scientific_journal-3607	48	5	common	common	ADJ
american_scientific_journal-3607	48	6	boundary	boundary	NOUN
american_scientific_journal-3607	48	7	of	of	ADP
american_scientific_journal-3607	48	8	the	the	DET
american_scientific_journal-3607	48	9	two	two	NUM
american_scientific_journal-3607	48	10	triangular	triangular	NOUN
american_scientific_journal-3607	48	11	systems	system	NOUN
american_scientific_journal-3607	48	12	1	1	NUM
american_scientific_journal-3607	48	13	t	t	NOUN
american_scientific_journal-3607	48	14	and	and	CCONJ
american_scientific_journal-3607	48	15	2	2	NUM
american_scientific_journal-3607	48	16	t	t	NOUN
american_scientific_journal-3607	48	17	.we	.we	PUNCT
american_scientific_journal-3607	49	1	see	see	VERB
american_scientific_journal-3607	49	2	that	that	SCONJ
american_scientific_journal-3607	49	3	each	each	DET
american_scientific_journal-3607	49	4	triangular	triangular	NOUN
american_scientific_journal-3607	49	5	system	system	NOUN
american_scientific_journal-3607	49	6	has	have	VERB
american_scientific_journal-3607	49	7	a	a	DET
american_scientific_journal-3607	49	8	closed	closed	ADJ
american_scientific_journal-3607	49	9	boundary	boundary	NOUN
american_scientific_journal-3607	49	10	.	.	PUNCT
american_scientific_journal-3607	50	1	if	if	SCONJ
american_scientific_journal-3607	50	2	the	the	DET
american_scientific_journal-3607	50	3	2d	2d	NUM
american_scientific_journal-3607	50	4	planar	planar	ADJ
american_scientific_journal-3607	50	5	system	system	NOUN
american_scientific_journal-3607	50	6	is	be	AUX
american_scientific_journal-3607	50	7	oriented	orient	VERB
american_scientific_journal-3607	50	8	in	in	ADP
american_scientific_journal-3607	50	9	a	a	DET
american_scientific_journal-3607	50	10	clockwise	clockwise	NOUN
american_scientific_journal-3607	50	11	direction	direction	NOUN
american_scientific_journal-3607	50	12	,	,	PUNCT
american_scientific_journal-3607	50	13	then	then	ADV
american_scientific_journal-3607	50	14	the	the	DET
american_scientific_journal-3607	50	15	boundary	boundary	NOUN
american_scientific_journal-3607	50	16	of	of	ADP
american_scientific_journal-3607	50	17	1	1	NUM
american_scientific_journal-3607	50	18	t	t	NOUN
american_scientific_journal-3607	50	19	thus	thus	ADV
american_scientific_journal-3607	50	20	(	(	PUNCT
american_scientific_journal-3607	50	21	)	)	PUNCT
american_scientific_journal-3607	50	22	1t∂	1t∂	NUM
american_scientific_journal-3607	50	23	is	be	AUX
american_scientific_journal-3607	50	24	(	(	PUNCT
american_scientific_journal-3607	50	25	)	)	PUNCT
american_scientific_journal-3607	51	1	1	1	NUM
american_scientific_journal-3607	51	2	1	1	NUM
american_scientific_journal-3607	51	3	b	b	X
american_scientific_journal-3607	51	4	b	b	PROPN
american_scientific_journal-3607	51	5	bt	bt	NOUN
american_scientific_journal-3607	51	6	c	c	NOUN
american_scientific_journal-3607	51	7	τ−∂	τ−∂	NOUN
american_scientific_journal-3607	51	8	=	=	SYM
american_scientific_journal-3607	51	9	∂	∂	NOUN
american_scientific_journal-3607	51	10	+	+	CCONJ
american_scientific_journal-3607	51	11	−	−	NOUN
american_scientific_journal-3607	51	12	similarly	similarly	ADV
american_scientific_journal-3607	51	13	(	(	PUNCT
american_scientific_journal-3607	51	14	)	)	SYM
american_scientific_journal-3607	52	1	2	2	NUM
american_scientific_journal-3607	52	2	1	1	NUM
american_scientific_journal-3607	52	3	b	b	SYM
american_scientific_journal-3607	52	4	b	b	NOUN
american_scientific_journal-3607	52	5	bt	bt	NOUN
american_scientific_journal-3607	52	6	cτ	cτ	VERB
american_scientific_journal-3607	52	7	+	+	NOUN
american_scientific_journal-3607	52	8	∂	∂	NOUN
american_scientific_journal-3607	52	9	=	=	SYM
american_scientific_journal-3607	52	10	−	−	PROPN
american_scientific_journal-3607	52	11	∂	∂	NOUN
american_scientific_journal-3607	52	12	−	−	NOUN
american_scientific_journal-3607	53	1	but	but	CCONJ
american_scientific_journal-3607	53	2	the	the	DET
american_scientific_journal-3607	53	3	combination	combination	NOUN
american_scientific_journal-3607	53	4	of	of	ADP
american_scientific_journal-3607	53	5	the	the	DET
american_scientific_journal-3607	53	6	boundaries	boundary	NOUN
american_scientific_journal-3607	53	7	of	of	ADP
american_scientific_journal-3607	53	8	the	the	DET
american_scientific_journal-3607	53	9	two	two	NUM
american_scientific_journal-3607	53	10	triangular	triangular	NOUN
american_scientific_journal-3607	53	11	systems	system	NOUN
american_scientific_journal-3607	53	12	(	(	PUNCT
american_scientific_journal-3607	53	13	)	)	PUNCT
american_scientific_journal-3607	53	14	1	1	NUM
american_scientific_journal-3607	53	15	2	2	NUM
american_scientific_journal-3607	53	16	t	t	NOUN
american_scientific_journal-3607	53	17	t∂	t∂	X
american_scientific_journal-3607	54	1	+	+	CCONJ
american_scientific_journal-3607	54	2	is	be	AUX
american_scientific_journal-3607	54	3	the	the	DET
american_scientific_journal-3607	54	4	same	same	ADJ
american_scientific_journal-3607	54	5	as	as	ADP
american_scientific_journal-3607	54	6	the	the	DET
american_scientific_journal-3607	54	7	boundary	boundary	NOUN
american_scientific_journal-3607	54	8	(	(	PUNCT
american_scientific_journal-3607	54	9	)	)	PUNCT
american_scientific_journal-3607	54	10	xt∂	xt∂	NUM
american_scientific_journal-3607	54	11	of	of	ADP
american_scientific_journal-3607	54	12	the	the	DET
american_scientific_journal-3607	54	13	2d	2d	NUM
american_scientific_journal-3607	54	14	planar	planar	ADJ
american_scientific_journal-3607	54	15	system	system	NOUN
american_scientific_journal-3607	54	16	.	.	PUNCT
american_scientific_journal-3607	55	1	therefore	therefore	ADV
american_scientific_journal-3607	55	2	,	,	PUNCT
american_scientific_journal-3607	55	3	(	(	PUNCT
american_scientific_journal-3607	55	4	)	)	PUNCT
american_scientific_journal-3607	55	5	(	(	PUNCT
american_scientific_journal-3607	55	6	)	)	PUNCT
american_scientific_journal-3607	55	7	1	1	NUM
american_scientific_journal-3607	55	8	1	1	NUM
american_scientific_journal-3607	55	9	2	2	NUM
american_scientific_journal-3607	55	10	1	1	NUM
american_scientific_journal-3607	55	11	b	b	X
american_scientific_journal-3607	55	12	b	b	PROPN
american_scientific_journal-3607	55	13	x	x	SYM
american_scientific_journal-3607	55	14	b	b	PROPN
american_scientific_journal-3607	55	15	b	b	PROPN
american_scientific_journal-3607	55	16	b	b	PROPN
american_scientific_journal-3607	55	17	bt	bt	PROPN
american_scientific_journal-3607	55	18	t	t	PROPN
american_scientific_journal-3607	55	19	t	t	PROPN
american_scientific_journal-3607	55	20	c	c	NOUN
american_scientific_journal-3607	55	21	cτ	cτ	VERB
american_scientific_journal-3607	55	22	τ−	τ−	PROPN
american_scientific_journal-3607	56	1	+	+	NOUN
american_scientific_journal-3607	56	2	∂	∂	NOUN
american_scientific_journal-3607	56	3	+	+	NUM
american_scientific_journal-3607	56	4	=	=	SYM
american_scientific_journal-3607	56	5	∂	∂	NUM
american_scientific_journal-3607	56	6	=	=	SYM
american_scientific_journal-3607	56	7	∂	∂	NOUN
american_scientific_journal-3607	57	1	+	+	CCONJ
american_scientific_journal-3607	57	2	−	−	PROPN
american_scientific_journal-3607	57	3	+	+	CCONJ
american_scientific_journal-3607	57	4	−∂	−∂	PROPN
american_scientific_journal-3607	57	5	−	−	PROPN
american_scientific_journal-3607	57	6	⇒	⇒	NOUN
american_scientific_journal-3607	57	7	(	(	PUNCT
american_scientific_journal-3607	57	8	)	)	PUNCT
american_scientific_journal-3607	57	9	1	1	NUM
american_scientific_journal-3607	57	10	1	1	NUM
american_scientific_journal-3607	57	11	b	b	X
american_scientific_journal-3607	57	12	b	b	PROPN
american_scientific_journal-3607	57	13	x	x	SYM
american_scientific_journal-3607	57	14	b	b	PROPN
american_scientific_journal-3607	57	15	bt	bt	NOUN
american_scientific_journal-3607	57	16	c	c	NOUN
american_scientific_journal-3607	57	17	c−	c−	ADP
american_scientific_journal-3607	57	18	+	+	NOUN
american_scientific_journal-3607	57	19	∂	∂	NOUN
american_scientific_journal-3607	57	20	=	=	SYM
american_scientific_journal-3607	57	21	∂	∂	NOUN
american_scientific_journal-3607	57	22	+	+	NUM
american_scientific_journal-3607	57	23	−∂	−∂	ADJ
american_scientific_journal-3607	57	24	−	−	NOUN
american_scientific_journal-3607	57	25	thus	thus	ADV
american_scientific_journal-3607	57	26	,	,	PUNCT
american_scientific_journal-3607	57	27	(	(	PUNCT
american_scientific_journal-3607	57	28	)	)	PUNCT
american_scientific_journal-3607	57	29	(	(	PUNCT
american_scientific_journal-3607	57	30	)	)	PUNCT
american_scientific_journal-3607	57	31	(	(	PUNCT
american_scientific_journal-3607	57	32	)	)	SYM
american_scientific_journal-3607	57	33	1	1	NUM
american_scientific_journal-3607	58	1	1	1	NUM
american_scientific_journal-3607	58	2	b	b	X
american_scientific_journal-3607	58	3	b	b	PROPN
american_scientific_journal-3607	58	4	x	x	SYM
american_scientific_journal-3607	58	5	b	b	PROPN
american_scientific_journal-3607	58	6	bt	bt	NOUN
american_scientific_journal-3607	58	7	c	c	NOUN
american_scientific_journal-3607	58	8	c−	c−	ADP
american_scientific_journal-3607	58	9	+	+	NOUN
american_scientific_journal-3607	58	10	∂	∂	NOUN
american_scientific_journal-3607	58	11	=	=	SYM
american_scientific_journal-3607	58	12	∂	∂	NOUN
american_scientific_journal-3607	58	13	+	+	NUM
american_scientific_journal-3607	58	14	−	−	PROPN
american_scientific_journal-3607	58	15	∂	∂	NOUN
american_scientific_journal-3607	59	1	+	+	NOUN
american_scientific_journal-3607	59	2	.	.	PUNCT
american_scientific_journal-3607	60	1	but	but	CCONJ
american_scientific_journal-3607	60	2	from	from	ADP
american_scientific_journal-3607	60	3	figure	figure	NOUN
american_scientific_journal-3607	60	4	1.0	1.0	NUM
american_scientific_journal-3607	60	5	we	we	PRON
american_scientific_journal-3607	60	6	realised	realise	VERB
american_scientific_journal-3607	60	7	that	that	SCONJ
american_scientific_journal-3607	60	8	the	the	DET
american_scientific_journal-3607	60	9	composites	composite	NOUN
american_scientific_journal-3607	60	10	of	of	ADP
american_scientific_journal-3607	60	11	(	(	PUNCT
american_scientific_journal-3607	60	12	)	)	PUNCT
american_scientific_journal-3607	60	13	1	1	NUM
american_scientific_journal-3607	60	14	1b	1b	NUM
american_scientific_journal-3607	60	15	b	b	PROPN
american_scientific_journal-3607	60	16	b	b	NUM
american_scientific_journal-3607	60	17	bc	bc	X
american_scientific_journal-3607	60	18	c−	c−	PROPN
american_scientific_journal-3607	60	19	−∂	−∂	PROPN
american_scientific_journal-3607	60	20	+	+	NUM
american_scientific_journal-3607	60	21	=	=	SYM
american_scientific_journal-3607	60	22	∂	∂	NOUN
american_scientific_journal-3607	60	23	and	and	CCONJ
american_scientific_journal-3607	60	24	(	(	PUNCT
american_scientific_journal-3607	60	25	)	)	SYM
american_scientific_journal-3607	60	26	1	1	NUM
american_scientific_journal-3607	61	1	1	1	NUM
american_scientific_journal-3607	61	2	b	b	X
american_scientific_journal-3607	61	3	b	b	PROPN
american_scientific_journal-3607	61	4	b	b	X
american_scientific_journal-3607	61	5	bc	bc	PROPN
american_scientific_journal-3607	61	6	c+	c+	VERB
american_scientific_journal-3607	61	7	+	+	NOUN
american_scientific_journal-3607	61	8	∂	∂	NOUN
american_scientific_journal-3607	61	9	+	+	NOUN
american_scientific_journal-3607	61	10	=	=	SYM
american_scientific_journal-3607	61	11	∂	∂	NOUN
american_scientific_journal-3607	61	12	.	.	PUNCT
american_scientific_journal-3607	62	1	however	however	ADV
american_scientific_journal-3607	62	2	,	,	PUNCT
american_scientific_journal-3607	62	3	since	since	SCONJ
american_scientific_journal-3607	62	4	the	the	DET
american_scientific_journal-3607	62	5	closed	closed	ADJ
american_scientific_journal-3607	62	6	system	system	NOUN
american_scientific_journal-3607	62	7	xt	xt	PROPN
american_scientific_journal-3607	62	8	is	be	AUX
american_scientific_journal-3607	62	9	bounded	bound	VERB
american_scientific_journal-3607	62	10	,	,	PUNCT
american_scientific_journal-3607	62	11	its	its	PRON
american_scientific_journal-3607	62	12	boundary	boundary	ADJ
american_scientific_journal-3607	62	13	(	(	PUNCT
american_scientific_journal-3607	62	14	)	)	PUNCT
american_scientific_journal-3607	62	15	xt∂	xt∂	NUM
american_scientific_journal-3607	62	16	is	be	AUX
american_scientific_journal-3607	62	17	zero	zero	NUM
american_scientific_journal-3607	62	18	.	.	PUNCT
american_scientific_journal-3607	63	1	thus	thus	ADV
american_scientific_journal-3607	63	2	,	,	PUNCT
american_scientific_journal-3607	63	3	(	(	PUNCT
american_scientific_journal-3607	63	4	)	)	PUNCT
american_scientific_journal-3607	63	5	0xt∂	0xt∂	NUM
american_scientific_journal-3607	63	6	=	=	PUNCT
american_scientific_journal-3607	63	7	which	which	PRON
american_scientific_journal-3607	63	8	implies	imply	VERB
american_scientific_journal-3607	63	9	that	that	SCONJ
american_scientific_journal-3607	63	10	:	:	PUNCT
american_scientific_journal-3607	63	11	american	american	ADJ
american_scientific_journal-3607	63	12	scientific	scientific	ADJ
american_scientific_journal-3607	63	13	research	research	PROPN
american_scientific_journal-3607	63	14	journal	journal	NOUN
american_scientific_journal-3607	63	15	for	for	ADP
american_scientific_journal-3607	63	16	engineering	engineering	NOUN
american_scientific_journal-3607	63	17	,	,	PUNCT
american_scientific_journal-3607	63	18	technology	technology	NOUN
american_scientific_journal-3607	63	19	,	,	PUNCT
american_scientific_journal-3607	63	20	and	and	CCONJ
american_scientific_journal-3607	63	21	sciences	science	NOUN
american_scientific_journal-3607	63	22	(	(	PUNCT
american_scientific_journal-3607	63	23	asrjets	asrjet	NOUN
american_scientific_journal-3607	63	24	)	)	PUNCT
american_scientific_journal-3607	63	25	(	(	PUNCT
american_scientific_journal-3607	63	26	2017	2017	NUM
american_scientific_journal-3607	63	27	)	)	PUNCT
american_scientific_journal-3607	63	28	volume	volume	NOUN
american_scientific_journal-3607	63	29	38	38	NUM
american_scientific_journal-3607	63	30	,	,	PUNCT
american_scientific_journal-3607	63	31	no	no	DET
american_scientific_journal-3607	63	32	1	1	NUM
american_scientific_journal-3607	63	33	,	,	PUNCT
american_scientific_journal-3607	63	34	pp	pp	ADV
american_scientific_journal-3607	63	35	112	112	NUM
american_scientific_journal-3607	63	36	-	-	SYM
american_scientific_journal-3607	63	37	117	117	NUM
american_scientific_journal-3607	63	38	115	115	NUM
american_scientific_journal-3607	63	39	(	(	PUNCT
american_scientific_journal-3607	63	40	)	)	PUNCT
american_scientific_journal-3607	63	41	(	(	PUNCT
american_scientific_journal-3607	63	42	)	)	PUNCT
american_scientific_journal-3607	63	43	(	(	PUNCT
american_scientific_journal-3607	64	1	)	)	PUNCT
american_scientific_journal-3607	64	2	(	(	PUNCT
american_scientific_journal-3607	64	3	)	)	SYM
american_scientific_journal-3607	64	4	1	1	NUM
american_scientific_journal-3607	64	5	1	1	NUM
american_scientific_journal-3607	64	6	1	1	NUM
american_scientific_journal-3607	64	7	10	10	NUM
american_scientific_journal-3607	64	8	b	b	PROPN
american_scientific_journal-3607	64	9	b	b	PROPN
american_scientific_journal-3607	64	10	b	b	PROPN
american_scientific_journal-3607	64	11	b	b	PROPN
american_scientific_journal-3607	64	12	b	b	PROPN
american_scientific_journal-3607	64	13	b	b	PROPN
american_scientific_journal-3607	64	14	b	b	PROPN
american_scientific_journal-3607	64	15	bc	bc	PROPN
american_scientific_journal-3607	65	1	c	c	PROPN
american_scientific_journal-3607	65	2	c	c	NOUN
american_scientific_journal-3607	65	3	c−	c−	NUM
american_scientific_journal-3607	65	4	−	−	PROPN
american_scientific_journal-3607	66	1	+	+	PROPN
american_scientific_journal-3607	67	1	+	+	NOUN
american_scientific_journal-3607	67	2	=	=	NOUN
american_scientific_journal-3607	67	3	∂	∂	NUM
american_scientific_journal-3607	67	4	+	+	NUM
american_scientific_journal-3607	67	5	−	−	NUM
american_scientific_journal-3607	67	6	∂	∂	NOUN
american_scientific_journal-3607	67	7	+	+	CCONJ
american_scientific_journal-3607	67	8	=	=	SYM
american_scientific_journal-3607	67	9	∂	∂	NUM
american_scientific_journal-3607	67	10	−	−	NOUN
american_scientific_journal-3607	67	11	∂	∂	NOUN
american_scientific_journal-3607	67	12	hence	hence	ADV
american_scientific_journal-3607	67	13	1	1	NUM
american_scientific_journal-3607	67	14	1	1	NUM
american_scientific_journal-3607	67	15	b	b	PROPN
american_scientific_journal-3607	67	16	b	b	PROPN
american_scientific_journal-3607	67	17	b	b	PROPN
american_scientific_journal-3607	67	18	bc	bc	X
american_scientific_journal-3607	67	19	c−	c−	PROPN
american_scientific_journal-3607	67	20	+	+	NOUN
american_scientific_journal-3607	67	21	∂	∂	NUM
american_scientific_journal-3607	67	22	=	=	SYM
american_scientific_journal-3607	67	23	∂	∂	NOUN
american_scientific_journal-3607	67	24	as	as	SCONJ
american_scientific_journal-3607	67	25	required	require	VERB
american_scientific_journal-3607	67	26	by	by	ADP
american_scientific_journal-3607	67	27	the	the	DET
american_scientific_journal-3607	67	28	proposition	proposition	NOUN
american_scientific_journal-3607	67	29	.	.	PUNCT
american_scientific_journal-3607	68	1	2	2	X
american_scientific_journal-3607	68	2	.	.	X
american_scientific_journal-3607	68	3	the	the	DET
american_scientific_journal-3607	68	4	extension	extension	NOUN
american_scientific_journal-3607	68	5	of	of	ADP
american_scientific_journal-3607	68	6	system	system	NOUN
american_scientific_journal-3607	68	7	with	with	ADP
american_scientific_journal-3607	68	8	the	the	DET
american_scientific_journal-3607	68	9	2d	2d	NUM
american_scientific_journal-3607	68	10	planar	planar	ADJ
american_scientific_journal-3607	68	11	system	system	NOUN
american_scientific_journal-3607	68	12	xt	xt	NOUN
american_scientific_journal-3607	68	13	,	,	PUNCT
american_scientific_journal-3607	68	14	which	which	PRON
american_scientific_journal-3607	68	15	consist	consist	VERB
american_scientific_journal-3607	68	16	of	of	ADP
american_scientific_journal-3607	68	17	chain	chain	NOUN
american_scientific_journal-3607	68	18	complexes	complex	NOUN
american_scientific_journal-3607	68	19	and	and	CCONJ
american_scientific_journal-3607	68	20	cochain	cochain	NOUN
american_scientific_journal-3607	68	21	complexes	complex	NOUN
american_scientific_journal-3607	68	22	,	,	PUNCT
american_scientific_journal-3607	68	23	we	we	PRON
american_scientific_journal-3607	68	24	can	can	AUX
american_scientific_journal-3607	68	25	form	form	VERB
american_scientific_journal-3607	68	26	the	the	DET
american_scientific_journal-3607	68	27	sequence	sequence	NOUN
american_scientific_journal-3607	68	28	of	of	ADP
american_scientific_journal-3607	68	29	2d	2d	NUM
american_scientific_journal-3607	68	30	planar	planar	ADJ
american_scientific_journal-3607	68	31	system	system	NOUN
american_scientific_journal-3607	68	32	.	.	PUNCT
american_scientific_journal-3607	69	1	the	the	DET
american_scientific_journal-3607	69	2	natural	natural	ADJ
american_scientific_journal-3607	69	3	homomorphism	homomorphism	NOUN
american_scientific_journal-3607	69	4	(	(	PUNCT
american_scientific_journal-3607	69	5	)	)	PUNCT
american_scientific_journal-3607	69	6	1	1	NUM
american_scientific_journal-3607	69	7	,	,	PUNCT
american_scientific_journal-3607	69	8	:	:	PUNCT
american_scientific_journal-3607	69	9	cb	cb	PROPN
american_scientific_journal-3607	69	10	bf	bf	PROPN
american_scientific_journal-3607	69	11	b	b	PROPN
american_scientific_journal-3607	69	12	x	x	SYM
american_scientific_journal-3607	69	13	c−	c−	ADJ
american_scientific_journal-3607	69	14	→	→	SYM
american_scientific_journal-3607	69	15	or	or	CCONJ
american_scientific_journal-3607	69	16	(	(	PUNCT
american_scientific_journal-3607	69	17	)	)	PUNCT
american_scientific_journal-3607	69	18	1	1	NUM
american_scientific_journal-3607	69	19	,	,	PUNCT
american_scientific_journal-3607	69	20	:	:	PUNCT
american_scientific_journal-3607	69	21	cb	cb	PROPN
american_scientific_journal-3607	69	22	bf	bf	PROPN
american_scientific_journal-3607	69	23	b	b	PROPN
american_scientific_journal-3607	69	24	x	x	X
american_scientific_journal-3607	69	25	c	c	PROPN
american_scientific_journal-3607	69	26	+	+	NOUN
american_scientific_journal-3607	69	27	→	→	PUNCT
american_scientific_journal-3607	69	28	for	for	ADP
american_scientific_journal-3607	69	29	0b	0b	NOUN
american_scientific_journal-3607	69	30	≥	≥	PRON
american_scientific_journal-3607	69	31	provides	provide	VERB
american_scientific_journal-3607	69	32	each	each	DET
american_scientific_journal-3607	69	33	state	state	NOUN
american_scientific_journal-3607	69	34	x	x	PUNCT
american_scientific_journal-3607	69	35	of	of	ADP
american_scientific_journal-3607	69	36	xt	xt	PROPN
american_scientific_journal-3607	69	37	.	.	PUNCT
american_scientific_journal-3607	70	1	for	for	ADP
american_scientific_journal-3607	70	2	0b	0b	NOUN
american_scientific_journal-3607	70	3	=	=	SYM
american_scientific_journal-3607	70	4	,	,	PUNCT
american_scientific_journal-3607	70	5	the	the	DET
american_scientific_journal-3607	70	6	homomorphism	homomorphism	PROPN
american_scientific_journal-3607	70	7	(	(	PUNCT
american_scientific_journal-3607	70	8	)	)	PUNCT
american_scientific_journal-3607	70	9	0	0	NUM
american_scientific_journal-3607	70	10	10	10	NUM
american_scientific_journal-3607	70	11	,	,	PUNCT
american_scientific_journal-3607	70	12	:	:	PUNCT
american_scientific_journal-3607	70	13	cf	cf	NOUN
american_scientific_journal-3607	70	14	x	x	X
american_scientific_journal-3607	70	15	c→	c→	X
american_scientific_journal-3607	70	16	provides	provide	VERB
american_scientific_journal-3607	70	17	only	only	ADV
american_scientific_journal-3607	70	18	one	one	NUM
american_scientific_journal-3607	70	19	and	and	CCONJ
american_scientific_journal-3607	70	20	initial	initial	ADJ
american_scientific_journal-3607	70	21	state	state	NOUN
american_scientific_journal-3607	70	22	of	of	ADP
american_scientific_journal-3607	70	23	2d	2d	PROPN
american_scientific_journal-3607	70	24	planar	planar	ADJ
american_scientific_journal-3607	70	25	system	system	NOUN
american_scientific_journal-3607	70	26	such	such	ADJ
american_scientific_journal-3607	70	27	that	that	SCONJ
american_scientific_journal-3607	70	28	the	the	DET
american_scientific_journal-3607	70	29	chain	chain	NOUN
american_scientific_journal-3607	70	30	and	and	CCONJ
american_scientific_journal-3607	70	31	cochain	cochain	NOUN
american_scientific_journal-3607	70	32	complexes	complex	NOUN
american_scientific_journal-3607	70	33	shown	show	VERB
american_scientific_journal-3607	70	34	at	at	ADP
american_scientific_journal-3607	70	35	figure	figure	NOUN
american_scientific_journal-3607	70	36	2	2	NUM
american_scientific_journal-3607	70	37	commutes	commute	NOUN
american_scientific_journal-3607	70	38	figure	figure	VERB
american_scientific_journal-3607	70	39	2	2	NUM
american_scientific_journal-3607	70	40	:	:	PUNCT
american_scientific_journal-3607	70	41	the	the	DET
american_scientific_journal-3607	70	42	first	first	ADJ
american_scientific_journal-3607	70	43	state	state	NOUN
american_scientific_journal-3607	70	44	of	of	ADP
american_scientific_journal-3607	70	45	2d	2d	PROPN
american_scientific_journal-3607	70	46	planar	planar	ADJ
american_scientific_journal-3607	70	47	system	system	NOUN
american_scientific_journal-3607	70	48	similarly	similarly	ADV
american_scientific_journal-3607	70	49	,	,	PUNCT
american_scientific_journal-3607	70	50	when	when	SCONJ
american_scientific_journal-3607	70	51	1b	1b	X
american_scientific_journal-3607	70	52	=	=	SYM
american_scientific_journal-3607	70	53	,	,	PUNCT
american_scientific_journal-3607	70	54	the	the	DET
american_scientific_journal-3607	70	55	extension	extension	NOUN
american_scientific_journal-3607	70	56	of	of	ADP
american_scientific_journal-3607	70	57	the	the	DET
american_scientific_journal-3607	70	58	system	system	NOUN
american_scientific_journal-3607	70	59	given	give	VERB
american_scientific_journal-3607	70	60	by	by	ADP
american_scientific_journal-3607	70	61	the	the	DET
american_scientific_journal-3607	70	62	homomorphism	homomorphism	PROPN
american_scientific_journal-3607	70	63	(	(	PUNCT
american_scientific_journal-3607	70	64	)	)	PUNCT
american_scientific_journal-3607	70	65	1	1	NUM
american_scientific_journal-3607	70	66	21	21	NUM
american_scientific_journal-3607	70	67	,	,	PUNCT
american_scientific_journal-3607	70	68	:	:	PUNCT
american_scientific_journal-3607	70	69	cf	cf	NOUN
american_scientific_journal-3607	70	70	x	x	X
american_scientific_journal-3607	70	71	c→	c→	X
american_scientific_journal-3607	70	72	has	have	VERB
american_scientific_journal-3607	70	73	two	two	NUM
american_scientific_journal-3607	70	74	2d	2d	NUM
american_scientific_journal-3607	70	75	planar	planar	ADJ
american_scientific_journal-3607	70	76	systems	system	NOUN
american_scientific_journal-3607	70	77	,	,	PUNCT
american_scientific_journal-3607	70	78	thus	thus	ADV
american_scientific_journal-3607	70	79	one	one	NUM
american_scientific_journal-3607	70	80	extra	extra	ADJ
american_scientific_journal-3607	70	81	2d	2d	NUM
american_scientific_journal-3607	70	82	planar	planar	ADJ
american_scientific_journal-3607	70	83	system	system	NOUN
american_scientific_journal-3607	70	84	from	from	ADP
american_scientific_journal-3607	70	85	the	the	DET
american_scientific_journal-3607	70	86	initial	initial	ADJ
american_scientific_journal-3607	70	87	one	one	NOUN
american_scientific_journal-3607	70	88	as	as	SCONJ
american_scientific_journal-3607	70	89	shown	show	VERB
american_scientific_journal-3607	70	90	in	in	ADP
american_scientific_journal-3607	70	91	figure	figure	NOUN
american_scientific_journal-3607	70	92	3	3	NUM
american_scientific_journal-3607	70	93	.	.	PUNCT
american_scientific_journal-3607	70	94	figure	figure	NOUN
american_scientific_journal-3607	70	95	3	3	NUM
american_scientific_journal-3607	70	96	:	:	PUNCT
american_scientific_journal-3607	70	97	the	the	DET
american_scientific_journal-3607	70	98	extension	extension	NOUN
american_scientific_journal-3607	70	99	of	of	ADP
american_scientific_journal-3607	70	100	2d	2d	NUM
american_scientific_journal-3607	70	101	planar	planar	ADJ
american_scientific_journal-3607	70	102	system	system	NOUN
american_scientific_journal-3607	70	103	in	in	ADP
american_scientific_journal-3607	70	104	each	each	DET
american_scientific_journal-3607	70	105	state	state	NOUN
american_scientific_journal-3607	70	106	,	,	PUNCT
american_scientific_journal-3607	70	107	the	the	DET
american_scientific_journal-3607	70	108	closed	closed	ADJ
american_scientific_journal-3607	70	109	surface	surface	NOUN
american_scientific_journal-3607	70	110	area	area	NOUN
american_scientific_journal-3607	70	111	is	be	AUX
american_scientific_journal-3607	70	112	the	the	DET
american_scientific_journal-3607	70	113	cocycle	cocycle	NOUN
american_scientific_journal-3607	70	114	.	.	PUNCT
american_scientific_journal-3607	71	1	therefore	therefore	ADV
american_scientific_journal-3607	71	2	,	,	PUNCT
american_scientific_journal-3607	71	3	the	the	DET
american_scientific_journal-3607	71	4	initial	initial	ADJ
american_scientific_journal-3607	71	5	state	state	NOUN
american_scientific_journal-3607	71	6	has	have	VERB
american_scientific_journal-3607	71	7	one	one	NUM
american_scientific_journal-3607	71	8	cocycle	cocycle	NOUN
american_scientific_journal-3607	71	9	while	while	SCONJ
american_scientific_journal-3607	71	10	the	the	DET
american_scientific_journal-3607	71	11	second	second	ADJ
american_scientific_journal-3607	71	12	state	state	NOUN
american_scientific_journal-3607	71	13	referred	refer	VERB
american_scientific_journal-3607	71	14	to	to	ADP
american_scientific_journal-3607	71	15	as	as	SCONJ
american_scientific_journal-3607	71	16	the	the	DET
american_scientific_journal-3607	71	17	first	first	ADJ
american_scientific_journal-3607	71	18	extended	extended	ADJ
american_scientific_journal-3607	71	19	state	state	NOUN
american_scientific_journal-3607	71	20	has	have	VERB
american_scientific_journal-3607	71	21	two	two	NUM
american_scientific_journal-3607	71	22	cocycles	cocycle	NOUN
american_scientific_journal-3607	71	23	.	.	PUNCT
american_scientific_journal-3607	72	1	the	the	DET
american_scientific_journal-3607	72	2	extension	extension	NOUN
american_scientific_journal-3607	72	3	of	of	ADP
american_scientific_journal-3607	72	4	the	the	DET
american_scientific_journal-3607	72	5	system	system	NOUN
american_scientific_journal-3607	72	6	is	be	AUX
american_scientific_journal-3607	72	7	the	the	DET
american_scientific_journal-3607	72	8	combination	combination	NOUN
american_scientific_journal-3607	72	9	of	of	ADP
american_scientific_journal-3607	72	10	2	2	NUM
american_scientific_journal-3607	72	11	-	-	PUNCT
american_scientific_journal-3607	72	12	cells	cell	NOUN
american_scientific_journal-3607	72	13	which	which	PRON
american_scientific_journal-3607	72	14	means	mean	VERB
american_scientific_journal-3607	72	15	that	that	SCONJ
american_scientific_journal-3607	72	16	each	each	DET
american_scientific_journal-3607	72	17	extended	extend	VERB
american_scientific_journal-3607	72	18	part	part	NOUN
american_scientific_journal-3607	72	19	of	of	ADP
american_scientific_journal-3607	72	20	the	the	DET
american_scientific_journal-3607	72	21	system	system	NOUN
american_scientific_journal-3607	72	22	consists	consist	VERB
american_scientific_journal-3607	72	23	of	of	ADP
american_scientific_journal-3607	72	24	a	a	DET
american_scientific_journal-3607	72	25	number	number	NOUN
american_scientific_journal-3607	72	26	of	of	ADP
american_scientific_journal-3607	72	27	cocycles	cocycle	NOUN
american_scientific_journal-3607	72	28	.	.	PUNCT
american_scientific_journal-3607	73	1	thus	thus	ADV
american_scientific_journal-3607	73	2	if	if	SCONJ
american_scientific_journal-3607	73	3	(	(	PUNCT
american_scientific_journal-3607	73	4	)	)	PUNCT
american_scientific_journal-3607	73	5	0	0	NUM
american_scientific_journal-3607	73	6	,	,	PUNCT
american_scientific_journal-3607	73	7	1f	1f	NUM
american_scientific_journal-3607	73	8	x	x	SYM
american_scientific_journal-3607	73	9	=	=	SYM
american_scientific_journal-3607	73	10	cocycle	cocycle	NOUN
american_scientific_journal-3607	73	11	,	,	PUNCT
american_scientific_journal-3607	73	12	(	(	PUNCT
american_scientific_journal-3607	73	13	)	)	PUNCT
american_scientific_journal-3607	73	14	1	1	NUM
american_scientific_journal-3607	73	15	,	,	PUNCT
american_scientific_journal-3607	73	16	2f	2f	NUM
american_scientific_journal-3607	73	17	x	x	X
american_scientific_journal-3607	74	1	=	=	X
american_scientific_journal-3607	74	2	,	,	PUNCT
american_scientific_journal-3607	74	3	and	and	CCONJ
american_scientific_journal-3607	74	4	(	(	PUNCT
american_scientific_journal-3607	74	5	)	)	PUNCT
american_scientific_journal-3607	74	6	2	2	NUM
american_scientific_journal-3607	74	7	,	,	PUNCT
american_scientific_journal-3607	74	8	3f	3f	X
american_scientific_journal-3607	74	9	x	x	X
american_scientific_journal-3607	74	10	=	=	SYM
american_scientific_journal-3607	74	11	etc	etc	X
american_scientific_journal-3607	74	12	.	.	X
american_scientific_journal-3607	75	1	the	the	DET
american_scientific_journal-3607	75	2	initial	initial	ADJ
american_scientific_journal-3607	75	3	system	system	NOUN
american_scientific_journal-3607	75	4	is	be	AUX
american_scientific_journal-3607	75	5	based	base	VERB
american_scientific_journal-3607	75	6	on	on	ADP
american_scientific_journal-3607	75	7	the	the	DET
american_scientific_journal-3607	75	8	notion	notion	NOUN
american_scientific_journal-3607	75	9	of	of	ADP
american_scientific_journal-3607	75	10	the	the	DET
american_scientific_journal-3607	75	11	american	american	PROPN
american_scientific_journal-3607	75	12	scientific	scientific	PROPN
american_scientific_journal-3607	75	13	research	research	PROPN
american_scientific_journal-3607	75	14	journal	journal	NOUN
american_scientific_journal-3607	75	15	for	for	ADP
american_scientific_journal-3607	75	16	engineering	engineering	NOUN
american_scientific_journal-3607	75	17	,	,	PUNCT
american_scientific_journal-3607	75	18	technology	technology	NOUN
american_scientific_journal-3607	75	19	,	,	PUNCT
american_scientific_journal-3607	75	20	and	and	CCONJ
american_scientific_journal-3607	75	21	sciences	science	NOUN
american_scientific_journal-3607	75	22	(	(	PUNCT
american_scientific_journal-3607	75	23	asrjets	asrjet	NOUN
american_scientific_journal-3607	75	24	)	)	PUNCT
american_scientific_journal-3607	75	25	(	(	PUNCT
american_scientific_journal-3607	75	26	2017	2017	NUM
american_scientific_journal-3607	75	27	)	)	PUNCT
american_scientific_journal-3607	75	28	volume	volume	NOUN
american_scientific_journal-3607	75	29	38	38	NUM
american_scientific_journal-3607	75	30	,	,	PUNCT
american_scientific_journal-3607	75	31	no	no	DET
american_scientific_journal-3607	75	32	1	1	NUM
american_scientific_journal-3607	75	33	,	,	PUNCT
american_scientific_journal-3607	75	34	pp	pp	ADV
american_scientific_journal-3607	75	35	112	112	NUM
american_scientific_journal-3607	75	36	-	-	SYM
american_scientific_journal-3607	75	37	117	117	NUM
american_scientific_journal-3607	75	38	116	116	NUM
american_scientific_journal-3607	75	39	chain	chain	NOUN
american_scientific_journal-3607	75	40	map	map	NOUN
american_scientific_journal-3607	75	41	1	1	NUM
american_scientific_journal-3607	75	42	1	1	NUM
american_scientific_journal-3607	75	43	0	0	NUM
american_scientific_journal-3607	75	44	:	:	PUNCT
american_scientific_journal-3607	75	45	c	c	NOUN
american_scientific_journal-3607	75	46	c∂	c∂	X
american_scientific_journal-3607	75	47	→	→	PUNCT
american_scientific_journal-3607	75	48	and	and	CCONJ
american_scientific_journal-3607	75	49	the	the	DET
american_scientific_journal-3607	75	50	cochain	cochain	NOUN
american_scientific_journal-3607	75	51	map	map	NOUN
american_scientific_journal-3607	75	52	(	(	PUNCT
american_scientific_journal-3607	75	53	)	)	PUNCT
american_scientific_journal-3607	75	54	0	0	NUM
american_scientific_journal-3607	75	55	1f	1f	NUM
american_scientific_journal-3607	75	56	0	0	NUM
american_scientific_journal-3607	75	57	,	,	PUNCT
american_scientific_journal-3607	75	58	x	x	X
american_scientific_journal-3607	75	59	:	:	PUNCT
american_scientific_journal-3607	75	60	c	c	X
american_scientific_journal-3607	75	61	c→	c→	PROPN
american_scientific_journal-3607	75	62	.	.	PUNCT
american_scientific_journal-3607	76	1	the	the	DET
american_scientific_journal-3607	76	2	addition	addition	NOUN
american_scientific_journal-3607	76	3	of	of	ADP
american_scientific_journal-3607	76	4	a	a	DET
american_scientific_journal-3607	76	5	new	new	ADJ
american_scientific_journal-3607	76	6	cochain	cochain	NOUN
american_scientific_journal-3607	76	7	group	group	NOUN
american_scientific_journal-3607	76	8	is	be	AUX
american_scientific_journal-3607	76	9	dynamically	dynamically	ADV
american_scientific_journal-3607	76	10	determined	determine	VERB
american_scientific_journal-3607	76	11	by	by	ADP
american_scientific_journal-3607	76	12	the	the	DET
american_scientific_journal-3607	76	13	homomorphism	homomorphism	PROPN
american_scientific_journal-3607	76	14	(	(	PUNCT
american_scientific_journal-3607	76	15	)	)	PUNCT
american_scientific_journal-3607	76	16	,	,	PUNCT
american_scientific_journal-3607	77	1	f	f	PROPN
american_scientific_journal-3607	77	2	b	b	PROPN
american_scientific_journal-3607	77	3	x	x	X
american_scientific_journal-3607	77	4	from	from	ADP
american_scientific_journal-3607	77	5	the	the	DET
american_scientific_journal-3607	77	6	system	system	NOUN
american_scientific_journal-3607	77	7	’s	’s	PART
american_scientific_journal-3607	77	8	initial	initial	ADJ
american_scientific_journal-3607	77	9	state	state	NOUN
american_scientific_journal-3607	77	10	.	.	PUNCT
american_scientific_journal-3607	78	1	3	3	X
american_scientific_journal-3607	78	2	.	.	X
american_scientific_journal-3607	78	3	1st	1st	ADJ
american_scientific_journal-3607	78	4	–	–	PUNCT
american_scientific_journal-3607	78	5	cohomology	cohomology	NOUN
american_scientific_journal-3607	78	6	group	group	NOUN
american_scientific_journal-3607	78	7	1h	1h	NOUN
american_scientific_journal-3607	78	8	and	and	CCONJ
american_scientific_journal-3607	78	9	extensions	extension	NOUN
american_scientific_journal-3607	78	10	considering	consider	VERB
american_scientific_journal-3607	78	11	(	(	PUNCT
american_scientific_journal-3607	78	12	)	)	PUNCT
american_scientific_journal-3607	78	13	1	1	NUM
american_scientific_journal-3607	78	14	,	,	PUNCT
american_scientific_journal-3607	78	15	:	:	PUNCT
american_scientific_journal-3607	79	1	cb	cb	PROPN
american_scientific_journal-3607	79	2	bf	bf	PROPN
american_scientific_journal-3607	79	3	b	b	PROPN
american_scientific_journal-3607	79	4	x	x	X
american_scientific_journal-3607	79	5	c	c	PROPN
american_scientific_journal-3607	79	6	+	+	PROPN
american_scientific_journal-3607	79	7	→	→	SYM
american_scientific_journal-3607	79	8	,	,	PUNCT
american_scientific_journal-3607	79	9	for	for	ADP
american_scientific_journal-3607	79	10	0b	0b	NOUN
american_scientific_journal-3607	79	11	≥	≥	NOUN
american_scientific_journal-3607	79	12	the	the	DET
american_scientific_journal-3607	79	13	extension	extension	NOUN
american_scientific_journal-3607	79	14	of	of	ADP
american_scientific_journal-3607	79	15	the	the	DET
american_scientific_journal-3607	79	16	system	system	NOUN
american_scientific_journal-3607	79	17	in	in	ADP
american_scientific_journal-3607	79	18	terms	term	NOUN
american_scientific_journal-3607	79	19	of	of	ADP
american_scientific_journal-3607	79	20	the	the	DET
american_scientific_journal-3607	79	21	cochain	cochain	NOUN
american_scientific_journal-3607	79	22	complex	complex	NOUN
american_scientific_journal-3607	79	23	is	be	AUX
american_scientific_journal-3607	79	24	given	give	VERB
american_scientific_journal-3607	79	25	as	as	ADP
american_scientific_journal-3607	79	26	(	(	PUNCT
american_scientific_journal-3607	79	27	)	)	PUNCT
american_scientific_journal-3607	79	28	(	(	PUNCT
american_scientific_journal-3607	79	29	)	)	PUNCT
american_scientific_journal-3607	79	30	(	(	PUNCT
american_scientific_journal-3607	79	31	)	)	PUNCT
american_scientific_journal-3607	79	32	(	(	PUNCT
american_scientific_journal-3607	79	33	)	)	PUNCT
american_scientific_journal-3607	79	34	3	3	NUM
american_scientific_journal-3607	79	35	,	,	PUNCT
american_scientific_journal-3607	79	36	2	2	NUM
american_scientific_journal-3607	79	37	,	,	PUNCT
american_scientific_journal-3607	79	38	1	1	NUM
american_scientific_journal-3607	79	39	,	,	PUNCT
american_scientific_journal-3607	79	40	0,3	0,3	NUM
american_scientific_journal-3607	79	41	2	2	NUM
american_scientific_journal-3607	79	42	1	1	NUM
american_scientific_journal-3607	79	43	0	0	NUM
american_scientific_journal-3607	79	44	...	...	PUNCT
american_scientific_journal-3607	79	45	0f	0f	NOUN
american_scientific_journal-3607	79	46	x	x	X
american_scientific_journal-3607	80	1	f	f	NOUN
american_scientific_journal-3607	80	2	x	x	X
american_scientific_journal-3607	80	3	f	f	PROPN
american_scientific_journal-3607	80	4	x	x	X
american_scientific_journal-3607	80	5	f	f	X
american_scientific_journal-3607	80	6	xc	xc	PROPN
american_scientific_journal-3607	80	7	c	c	PROPN
american_scientific_journal-3607	80	8	c	c	PROPN
american_scientific_journal-3607	81	1	c←	c←	PROPN
american_scientific_journal-3607	81	2	←	←	ADJ
american_scientific_journal-3607	81	3	←	←	VERB
american_scientific_journal-3607	81	4	←	←	PROPN
american_scientific_journal-3607	81	5	←	←	PROPN
american_scientific_journal-3607	81	6	in	in	ADP
american_scientific_journal-3607	81	7	the	the	DET
american_scientific_journal-3607	81	8	form	form	NOUN
american_scientific_journal-3607	81	9	of	of	ADP
american_scientific_journal-3607	81	10	2d	2d	NUM
american_scientific_journal-3607	81	11	planar	planar	ADJ
american_scientific_journal-3607	81	12	system	system	NOUN
american_scientific_journal-3607	81	13	the	the	DET
american_scientific_journal-3607	81	14	complete	complete	ADJ
american_scientific_journal-3607	81	15	extended	extend	VERB
american_scientific_journal-3607	81	16	system	system	NOUN
american_scientific_journal-3607	81	17	ne	ne	NOUN
american_scientific_journal-3607	81	18	for	for	ADP
american_scientific_journal-3607	81	19	1	1	NUM
american_scientific_journal-3607	81	20	,	,	PUNCT
american_scientific_journal-3607	81	21	2	2	NUM
american_scientific_journal-3607	81	22	...	...	SYM
american_scientific_journal-3607	81	23	n	n	CCONJ
american_scientific_journal-3607	81	24	=	=	PUNCT
american_scientific_journal-3607	81	25	is	be	AUX
american_scientific_journal-3607	81	26	illustrated	illustrate	VERB
american_scientific_journal-3607	81	27	at	at	ADP
american_scientific_journal-3607	81	28	figure	figure	NOUN
american_scientific_journal-3607	81	29	4	4	NUM
american_scientific_journal-3607	81	30	.	.	PUNCT
american_scientific_journal-3607	81	31	figure	figure	VERB
american_scientific_journal-3607	81	32	4	4	NUM
american_scientific_journal-3607	81	33	:	:	PUNCT
american_scientific_journal-3607	81	34	extended	extended	ADJ
american_scientific_journal-3607	81	35	system	system	NOUN
american_scientific_journal-3607	81	36	if	if	SCONJ
american_scientific_journal-3607	81	37	ne	ne	PROPN
american_scientific_journal-3607	81	38	is	be	AUX
american_scientific_journal-3607	81	39	the	the	DET
american_scientific_journal-3607	81	40	extension	extension	NOUN
american_scientific_journal-3607	81	41	of	of	ADP
american_scientific_journal-3607	81	42	the	the	DET
american_scientific_journal-3607	81	43	system	system	NOUN
american_scientific_journal-3607	81	44	at	at	ADP
american_scientific_journal-3607	81	45	each	each	DET
american_scientific_journal-3607	81	46	state	state	NOUN
american_scientific_journal-3607	81	47	for	for	ADP
american_scientific_journal-3607	81	48	each	each	DET
american_scientific_journal-3607	81	49	value	value	NOUN
american_scientific_journal-3607	81	50	{	{	PUNCT
american_scientific_journal-3607	81	51	}	}	PUNCT
american_scientific_journal-3607	81	52	0n	0n	NOUN
american_scientific_journal-3607	81	53	z	z	PROPN
american_scientific_journal-3607	82	1	+	+	PROPN
american_scientific_journal-3607	82	2	∈	∈	PROPN
american_scientific_journal-3607	82	3	−	−	NOUN
american_scientific_journal-3607	82	4	,	,	PUNCT
american_scientific_journal-3607	82	5	then	then	ADV
american_scientific_journal-3607	82	6	from	from	ADP
american_scientific_journal-3607	82	7	fig	fig	NOUN
american_scientific_journal-3607	82	8	.	.	PUNCT
american_scientific_journal-3607	83	1	1.3	1.3	NUM
american_scientific_journal-3607	83	2	,	,	PUNCT
american_scientific_journal-3607	83	3	we	we	PRON
american_scientific_journal-3607	83	4	have	have	VERB
american_scientific_journal-3607	83	5	(	(	PUNCT
american_scientific_journal-3607	83	6	)	)	PUNCT
american_scientific_journal-3607	83	7	(	(	PUNCT
american_scientific_journal-3607	83	8	)	)	PUNCT
american_scientific_journal-3607	83	9	1	1	NUM
american_scientific_journal-3607	83	10	0	0	NUM
american_scientific_journal-3607	83	11	,	,	PUNCT
american_scientific_journal-3607	83	12	x	x	X
american_scientific_journal-3607	83	13	,	,	PUNCT
american_scientific_journal-3607	83	14	n	n	CCONJ
american_scientific_journal-3607	83	15	n	n	PRON
american_scientific_journal-3607	83	16	b	b	PROPN
american_scientific_journal-3607	83	17	e	e	X
american_scientific_journal-3607	84	1	f	f	PROPN
american_scientific_journal-3607	84	2	f	f	PROPN
american_scientific_journal-3607	84	3	b	b	PROPN
american_scientific_journal-3607	84	4	x	x	SYM
american_scientific_journal-3607	84	5	=	=	PUNCT
american_scientific_journal-3607	85	1	=	=	PUNCT
american_scientific_journal-3607	85	2			X
american_scientific_journal-3607	85	3	where	where	SCONJ
american_scientific_journal-3607	85	4	(	(	PUNCT
american_scientific_journal-3607	85	5	)	)	PUNCT
american_scientific_journal-3607	85	6	0,f	0,f	NOUN
american_scientific_journal-3607	85	7	x	x	PUNCT
american_scientific_journal-3607	85	8	and	and	CCONJ
american_scientific_journal-3607	85	9	(	(	PUNCT
american_scientific_journal-3607	85	10	)	)	PUNCT
american_scientific_journal-3607	85	11	,	,	PUNCT
american_scientific_journal-3607	85	12	f	f	PROPN
american_scientific_journal-3607	85	13	b	b	PROPN
american_scientific_journal-3607	85	14	x	x	X
american_scientific_journal-3607	85	15	are	be	AUX
american_scientific_journal-3607	85	16	the	the	DET
american_scientific_journal-3607	85	17	inclusions	inclusion	NOUN
american_scientific_journal-3607	85	18	in	in	ADP
american_scientific_journal-3607	85	19	ne	ne	PROPN
american_scientific_journal-3607	85	20	.	.	PUNCT
american_scientific_journal-3607	86	1	each	each	PRON
american_scientific_journal-3607	86	2	(	(	PUNCT
american_scientific_journal-3607	86	3	)	)	PUNCT
american_scientific_journal-3607	86	4	(	(	PUNCT
american_scientific_journal-3607	86	5	)	)	PUNCT
american_scientific_journal-3607	86	6	1	1	NUM
american_scientific_journal-3607	86	7	0	0	NUM
american_scientific_journal-3607	86	8	,	,	PUNCT
american_scientific_journal-3607	86	9	x	x	X
american_scientific_journal-3607	86	10	,	,	PUNCT
american_scientific_journal-3607	86	11	n	n	CCONJ
american_scientific_journal-3607	86	12	n	n	PRON
american_scientific_journal-3607	86	13	b	b	PROPN
american_scientific_journal-3607	86	14	e	e	X
american_scientific_journal-3607	86	15	f	f	PROPN
american_scientific_journal-3607	86	16	f	f	PROPN
american_scientific_journal-3607	86	17	b	b	PROPN
american_scientific_journal-3607	86	18	x	x	SYM
american_scientific_journal-3607	86	19	=	=	PUNCT
american_scientific_journal-3607	87	1	=	=	NOUN
american_scientific_journal-3607	87	2			NOUN
american_scientific_journal-3607	87	3	is	be	AUX
american_scientific_journal-3607	87	4	a	a	DET
american_scientific_journal-3607	87	5	complete	complete	ADJ
american_scientific_journal-3607	87	6	bounded	bound	VERB
american_scientific_journal-3607	87	7	closed	closed	ADJ
american_scientific_journal-3607	87	8	system	system	NOUN
american_scientific_journal-3607	87	9	consisting	consist	VERB
american_scientific_journal-3607	87	10	of	of	ADP
american_scientific_journal-3607	87	11	cocycles	cocycle	NOUN
american_scientific_journal-3607	87	12	and	and	CCONJ
american_scientific_journal-3607	87	13	its	its	PRON
american_scientific_journal-3607	87	14	respective	respective	ADJ
american_scientific_journal-3607	87	15	coboundaries	coboundarie	NOUN
american_scientific_journal-3607	87	16	.	.	PUNCT
american_scientific_journal-3607	88	1	given	give	VERB
american_scientific_journal-3607	88	2	that	that	PRON
american_scientific_journal-3607	88	3	(	(	PUNCT
american_scientific_journal-3607	88	4	)	)	PUNCT
american_scientific_journal-3607	88	5	b	b	NOUN
american_scientific_journal-3607	88	6	,	,	PUNCT
american_scientific_journal-3607	88	7	kerf	kerf	NOUN
american_scientific_journal-3607	88	8	x	x	VERB
american_scientific_journal-3607	88	9	is	be	AUX
american_scientific_journal-3607	88	10	the	the	DET
american_scientific_journal-3607	88	11	set	set	NOUN
american_scientific_journal-3607	88	12	of	of	ADP
american_scientific_journal-3607	88	13	cocycles	cocycle	NOUN
american_scientific_journal-3607	88	14	or	or	CCONJ
american_scientific_journal-3607	88	15	closed	close	VERB
american_scientific_journal-3607	88	16	surface	surface	NOUN
american_scientific_journal-3607	88	17	area	area	NOUN
american_scientific_journal-3607	88	18	of	of	ADP
american_scientific_journal-3607	88	19	the	the	DET
american_scientific_journal-3607	88	20	cochain	cochain	NOUN
american_scientific_journal-3607	88	21	map	map	NOUN
american_scientific_journal-3607	88	22	bc	bc	PROPN
american_scientific_journal-3607	88	23	,	,	PUNCT
american_scientific_journal-3607	88	24	its	its	PRON
american_scientific_journal-3607	88	25	coboundary	coboundary	NOUN
american_scientific_journal-3607	88	26	formed	form	VERB
american_scientific_journal-3607	88	27	by	by	ADP
american_scientific_journal-3607	88	28	1	1	NUM
american_scientific_journal-3607	88	29	-	-	PUNCT
american_scientific_journal-3607	88	30	cells	cell	NOUN
american_scientific_journal-3607	88	31	is	be	AUX
american_scientific_journal-3607	88	32	the	the	DET
american_scientific_journal-3607	88	33	image	image	NOUN
american_scientific_journal-3607	88	34	of	of	ADP
american_scientific_journal-3607	88	35	(	(	PUNCT
american_scientific_journal-3607	88	36	)	)	PUNCT
american_scientific_journal-3607	88	37	b	b	NOUN
american_scientific_journal-3607	88	38	,	,	PUNCT
american_scientific_journal-3607	88	39	kerf	kerf	NOUN
american_scientific_journal-3607	88	40	x	x	PUNCT
american_scientific_journal-3607	88	41	denoted	denote	VERB
american_scientific_journal-3607	88	42	by	by	ADP
american_scientific_journal-3607	88	43	(	(	PUNCT
american_scientific_journal-3607	88	44	)	)	PUNCT
american_scientific_journal-3607	88	45	i	i	PRON
american_scientific_journal-3607	88	46	m	m	VERB
american_scientific_journal-3607	88	47	,	,	PUNCT
american_scientific_journal-3607	88	48	of	of	ADP
american_scientific_journal-3607	88	49	f	f	PROPN
american_scientific_journal-3607	88	50	b	b	PROPN
american_scientific_journal-3607	88	51	x	x	INTJ
american_scientific_journal-3607	88	52	where	where	SCONJ
american_scientific_journal-3607	88	53	the	the	PRON
american_scientific_journal-3607	88	54	(	(	PUNCT
american_scientific_journal-3607	88	55	)	)	PUNCT
american_scientific_journal-3607	88	56	(	(	PUNCT
american_scientific_journal-3607	88	57	)	)	PUNCT
american_scientific_journal-3607	88	58	i	i	PRON
american_scientific_journal-3607	88	59	m	m	VERB
american_scientific_journal-3607	88	60	,	,	PUNCT
american_scientific_journal-3607	88	61	b	b	X
american_scientific_journal-3607	88	62	,	,	PUNCT
american_scientific_journal-3607	88	63	of	of	ADP
american_scientific_journal-3607	88	64	f	f	PROPN
american_scientific_journal-3607	88	65	b	b	PROPN
american_scientific_journal-3607	88	66	x	x	X
american_scientific_journal-3607	88	67	kerf	kerf	NOUN
american_scientific_journal-3607	88	68	x⊂	x⊂	NOUN
american_scientific_journal-3607	88	69	.	.	PUNCT
american_scientific_journal-3607	89	1	since	since	SCONJ
american_scientific_journal-3607	89	2	each	each	DET
american_scientific_journal-3607	89	3	extension	extension	NOUN
american_scientific_journal-3607	89	4	ne	ne	PROPN
american_scientific_journal-3607	89	5	provides	provide	VERB
american_scientific_journal-3607	89	6	the	the	DET
american_scientific_journal-3607	89	7	same	same	ADJ
american_scientific_journal-3607	89	8	2d	2d	NOUN
american_scientific_journal-3607	89	9	planar	planar	ADJ
american_scientific_journal-3607	89	10	closed	close	VERB
american_scientific_journal-3607	89	11	systems	system	NOUN
american_scientific_journal-3607	89	12	with	with	ADP
american_scientific_journal-3607	89	13	different	different	ADJ
american_scientific_journal-3607	89	14	sizes	size	NOUN
american_scientific_journal-3607	89	15	,	,	PUNCT
american_scientific_journal-3607	89	16	we	we	PRON
american_scientific_journal-3607	89	17	can	can	AUX
american_scientific_journal-3607	89	18	compute	compute	VERB
american_scientific_journal-3607	89	19	the	the	DET
american_scientific_journal-3607	89	20	1st	1st	ADJ
american_scientific_journal-3607	89	21	cohomology	cohomology	NOUN
american_scientific_journal-3607	89	22	group	group	NOUN
american_scientific_journal-3607	89	23	(	(	PUNCT
american_scientific_journal-3607	89	24	)	)	PUNCT
american_scientific_journal-3607	89	25	1	1	NUM
american_scientific_journal-3607	89	26	nh	nh	NOUN
american_scientific_journal-3607	89	27	e	e	NOUN
american_scientific_journal-3607	89	28	of	of	ADP
american_scientific_journal-3607	89	29	system	system	NOUN
american_scientific_journal-3607	89	30	at	at	ADP
american_scientific_journal-3607	89	31	each	each	DET
american_scientific_journal-3607	89	32	state	state	NOUN
american_scientific_journal-3607	89	33	.	.	PUNCT
american_scientific_journal-3607	90	1	the	the	DET
american_scientific_journal-3607	90	2	1st	1st	ADJ
american_scientific_journal-3607	90	3	cohomology	cohomology	NOUN
american_scientific_journal-3607	90	4	group	group	NOUN
american_scientific_journal-3607	90	5	(	(	PUNCT
american_scientific_journal-3607	90	6	)	)	SYM
american_scientific_journal-3607	90	7	1	1	NUM
american_scientific_journal-3607	90	8	nh	nh	NOUN
american_scientific_journal-3607	90	9	e	e	NOUN
american_scientific_journal-3607	90	10	is	be	AUX
american_scientific_journal-3607	90	11	the	the	DET
american_scientific_journal-3607	90	12	ratio	ratio	NOUN
american_scientific_journal-3607	90	13	of	of	ADP
american_scientific_journal-3607	90	14	cocycle	cocycle	NOUN
american_scientific_journal-3607	90	15	to	to	ADP
american_scientific_journal-3607	90	16	the	the	DET
american_scientific_journal-3607	90	17	coboundary	coboundary	NOUN
american_scientific_journal-3607	90	18	.	.	PUNCT
american_scientific_journal-3607	91	1	thus	thus	ADV
american_scientific_journal-3607	91	2	,	,	PUNCT
american_scientific_journal-3607	91	3	the	the	DET
american_scientific_journal-3607	91	4	1st	1st	ADJ
american_scientific_journal-3607	91	5	–	–	PUNCT
american_scientific_journal-3607	91	6	cohomology	cohomology	NOUN
american_scientific_journal-3607	91	7	group	group	NOUN
american_scientific_journal-3607	91	8	of	of	ADP
american_scientific_journal-3607	91	9	each	each	DET
american_scientific_journal-3607	91	10	extended	extended	ADJ
american_scientific_journal-3607	91	11	system	system	NOUN
american_scientific_journal-3607	91	12	is	be	AUX
american_scientific_journal-3607	91	13	given	give	VERB
american_scientific_journal-3607	91	14	by	by	ADP
american_scientific_journal-3607	91	15	:	:	PUNCT
american_scientific_journal-3607	91	16	american	american	ADJ
american_scientific_journal-3607	91	17	scientific	scientific	ADJ
american_scientific_journal-3607	91	18	research	research	PROPN
american_scientific_journal-3607	91	19	journal	journal	NOUN
american_scientific_journal-3607	91	20	for	for	ADP
american_scientific_journal-3607	91	21	engineering	engineering	NOUN
american_scientific_journal-3607	91	22	,	,	PUNCT
american_scientific_journal-3607	91	23	technology	technology	NOUN
american_scientific_journal-3607	91	24	,	,	PUNCT
american_scientific_journal-3607	91	25	and	and	CCONJ
american_scientific_journal-3607	91	26	sciences	science	NOUN
american_scientific_journal-3607	91	27	(	(	PUNCT
american_scientific_journal-3607	91	28	asrjets	asrjet	NOUN
american_scientific_journal-3607	91	29	)	)	PUNCT
american_scientific_journal-3607	91	30	(	(	PUNCT
american_scientific_journal-3607	91	31	2017	2017	NUM
american_scientific_journal-3607	91	32	)	)	PUNCT
american_scientific_journal-3607	91	33	volume	volume	NOUN
american_scientific_journal-3607	91	34	38	38	NUM
american_scientific_journal-3607	91	35	,	,	PUNCT
american_scientific_journal-3607	91	36	no	no	DET
american_scientific_journal-3607	91	37	1	1	NUM
american_scientific_journal-3607	91	38	,	,	PUNCT
american_scientific_journal-3607	91	39	pp	pp	ADV
american_scientific_journal-3607	91	40	112	112	NUM
american_scientific_journal-3607	91	41	-	-	SYM
american_scientific_journal-3607	91	42	117	117	NUM
american_scientific_journal-3607	91	43	117	117	NUM
american_scientific_journal-3607	91	44	(	(	PUNCT
american_scientific_journal-3607	91	45	)	)	PUNCT
american_scientific_journal-3607	91	46	(	(	PUNCT
american_scientific_journal-3607	91	47	)	)	PUNCT
american_scientific_journal-3607	91	48	(	(	PUNCT
american_scientific_journal-3607	91	49	)	)	PUNCT
american_scientific_journal-3607	91	50	1	1	NUM
american_scientific_journal-3607	91	51	b	b	NOUN
american_scientific_journal-3607	91	52	,	,	PUNCT
american_scientific_journal-3607	91	53	i	i	PRON
american_scientific_journal-3607	91	54	m	m	VERB
american_scientific_journal-3607	91	55	,	,	PUNCT
american_scientific_journal-3607	91	56	n	n	PRON
american_scientific_journal-3607	91	57	kerf	kerf	NOUN
american_scientific_journal-3607	91	58	x	x	NOUN
american_scientific_journal-3607	91	59	h	h	NOUN
american_scientific_journal-3607	91	60	e	e	NOUN
american_scientific_journal-3607	91	61	of	of	ADP
american_scientific_journal-3607	91	62	f	f	PROPN
american_scientific_journal-3607	91	63	b	b	PROPN
american_scientific_journal-3607	91	64	x	x	PROPN
american_scientific_journal-3607	91	65	=	=	NOUN
american_scientific_journal-3607	91	66	for	for	ADP
american_scientific_journal-3607	91	67	1	1	NUM
american_scientific_journal-3607	91	68	,	,	PUNCT
american_scientific_journal-3607	91	69	2,	2,	NUM
american_scientific_journal-3607	91	70	...	...	PUNCT
american_scientific_journal-3607	91	71	n	n	NOUN
american_scientific_journal-3607	91	72	=	=	PUNCT
american_scientific_journal-3607	91	73	and	and	CCONJ
american_scientific_journal-3607	91	74	1b	1b	NUM
american_scientific_journal-3607	91	75	≥	≥	NUM
american_scientific_journal-3607	91	76	.	.	PUNCT
american_scientific_journal-3607	92	1	indeed	indeed	ADV
american_scientific_journal-3607	92	2	,	,	PUNCT
american_scientific_journal-3607	92	3	for	for	ADP
american_scientific_journal-3607	92	4	2,3,	2,3,	NUM
american_scientific_journal-3607	92	5	...	...	PUNCT
american_scientific_journal-3607	92	6	n	n	NOUN
american_scientific_journal-3607	92	7	=	=	PUNCT
american_scientific_journal-3607	92	8	the	the	DET
american_scientific_journal-3607	92	9	system	system	NOUN
american_scientific_journal-3607	92	10	increases	increase	VERB
american_scientific_journal-3607	92	11	in	in	ADP
american_scientific_journal-3607	92	12	size	size	NOUN
american_scientific_journal-3607	92	13	but	but	CCONJ
american_scientific_journal-3607	92	14	the	the	DET
american_scientific_journal-3607	92	15	shape	shape	NOUN
american_scientific_journal-3607	92	16	is	be	AUX
american_scientific_journal-3607	92	17	maintained	maintain	VERB
american_scientific_journal-3607	92	18	.	.	PUNCT
american_scientific_journal-3607	93	1	each	each	DET
american_scientific_journal-3607	93	2	state	state	NOUN
american_scientific_journal-3607	93	3	of	of	ADP
american_scientific_journal-3607	93	4	2d	2d	PROPN
american_scientific_journal-3607	93	5	planar	planar	ADJ
american_scientific_journal-3607	93	6	closed	close	VERB
american_scientific_journal-3607	93	7	systems	system	NOUN
american_scientific_journal-3607	93	8	has	have	VERB
american_scientific_journal-3607	93	9	a	a	DET
american_scientific_journal-3607	93	10	complete	complete	ADJ
american_scientific_journal-3607	93	11	cocycle	cocycle	NOUN
american_scientific_journal-3607	93	12	as	as	SCONJ
american_scientific_journal-3607	93	13	explained	explain	VERB
american_scientific_journal-3607	93	14	earlier	early	ADV
american_scientific_journal-3607	93	15	.	.	PUNCT
american_scientific_journal-3607	94	1	thus	thus	ADV
american_scientific_journal-3607	94	2	,	,	PUNCT
american_scientific_journal-3607	94	3	the	the	DET
american_scientific_journal-3607	94	4	first	first	ADJ
american_scientific_journal-3607	94	5	enlarged	enlarged	ADJ
american_scientific_journal-3607	94	6	2d	2d	PROPN
american_scientific_journal-3607	94	7	planar	planar	ADJ
american_scientific_journal-3607	94	8	closed	close	VERB
american_scientific_journal-3607	94	9	systems	system	NOUN
american_scientific_journal-3607	94	10	(	(	PUNCT
american_scientific_journal-3607	94	11	)	)	PUNCT
american_scientific_journal-3607	94	12	xf	xf	PROPN
american_scientific_journal-3607	94	13	,	,	PUNCT
american_scientific_journal-3607	94	14	1	1	NUM
american_scientific_journal-3607	94	15	is	be	AUX
american_scientific_journal-3607	94	16	obtained	obtain	VERB
american_scientific_journal-3607	94	17	by	by	ADP
american_scientific_journal-3607	94	18	adding	add	VERB
american_scientific_journal-3607	94	19	(	(	PUNCT
american_scientific_journal-3607	94	20	)	)	PUNCT
american_scientific_journal-3607	94	21	xf	xf	PROPN
american_scientific_journal-3607	94	22	,	,	PUNCT
american_scientific_journal-3607	94	23	0	0	NUM
american_scientific_journal-3607	94	24	to	to	PART
american_scientific_journal-3607	94	25	(	(	PUNCT
american_scientific_journal-3607	94	26	)	)	PUNCT
american_scientific_journal-3607	94	27	xf	xf	PROPN
american_scientific_journal-3607	94	28	,	,	PUNCT
american_scientific_journal-3607	94	29	1	1	NUM
american_scientific_journal-3607	94	30	to	to	PART
american_scientific_journal-3607	94	31	obtain	obtain	VERB
american_scientific_journal-3607	94	32	one	one	NUM
american_scientific_journal-3607	94	33	complete	complete	ADJ
american_scientific_journal-3607	94	34	cocycle	cocycle	NOUN
american_scientific_journal-3607	94	35	as	as	SCONJ
american_scientific_journal-3607	94	36	shown	show	VERB
american_scientific_journal-3607	94	37	in	in	ADP
american_scientific_journal-3607	94	38	fig	fig	NOUN
american_scientific_journal-3607	94	39	.	.	PUNCT
american_scientific_journal-3607	95	1	1.2	1.2	NUM
american_scientific_journal-3607	95	2	.	.	PUNCT
american_scientific_journal-3607	96	1	similarly	similarly	ADV
american_scientific_journal-3607	96	2	,	,	PUNCT
american_scientific_journal-3607	96	3	the	the	DET
american_scientific_journal-3607	96	4	second	second	ADJ
american_scientific_journal-3607	96	5	2d	2d	NOUN
american_scientific_journal-3607	96	6	planar	planar	ADJ
american_scientific_journal-3607	96	7	closed	close	VERB
american_scientific_journal-3607	96	8	system	system	NOUN
american_scientific_journal-3607	96	9	is	be	AUX
american_scientific_journal-3607	96	10	obtained	obtain	VERB
american_scientific_journal-3607	96	11	by	by	ADP
american_scientific_journal-3607	96	12	the	the	DET
american_scientific_journal-3607	96	13	combination	combination	NOUN
american_scientific_journal-3607	96	14	of	of	ADP
american_scientific_journal-3607	96	15	(	(	PUNCT
american_scientific_journal-3607	96	16	)	)	PUNCT
american_scientific_journal-3607	96	17	xf	xf	PROPN
american_scientific_journal-3607	96	18	,	,	PUNCT
american_scientific_journal-3607	96	19	0	0	NUM
american_scientific_journal-3607	96	20	,	,	PUNCT
american_scientific_journal-3607	96	21	(	(	PUNCT
american_scientific_journal-3607	96	22	)	)	PUNCT
american_scientific_journal-3607	96	23	xf	xf	PROPN
american_scientific_journal-3607	96	24	,	,	PUNCT
american_scientific_journal-3607	96	25	1	1	NUM
american_scientific_journal-3607	96	26	and	and	CCONJ
american_scientific_journal-3607	96	27	(	(	PUNCT
american_scientific_journal-3607	96	28	)	)	PUNCT
american_scientific_journal-3607	96	29	xf	xf	PROPN
american_scientific_journal-3607	96	30	,	,	PUNCT
american_scientific_journal-3607	96	31	2	2	NUM
american_scientific_journal-3607	96	32	.	.	PUNCT
american_scientific_journal-3607	97	1	since	since	SCONJ
american_scientific_journal-3607	97	2	each	each	DET
american_scientific_journal-3607	97	3	enlarged	enlarge	VERB
american_scientific_journal-3607	97	4	2d	2d	PROPN
american_scientific_journal-3607	97	5	planar	planar	ADJ
american_scientific_journal-3607	97	6	closed	close	VERB
american_scientific_journal-3607	97	7	systems	system	NOUN
american_scientific_journal-3607	97	8	defines	define	VERB
american_scientific_journal-3607	97	9	cocycle	cocycle	NOUN
american_scientific_journal-3607	97	10	and	and	CCONJ
american_scientific_journal-3607	97	11	every	every	DET
american_scientific_journal-3607	97	12	cocycle	cocycle	NOUN
american_scientific_journal-3607	97	13	is	be	AUX
american_scientific_journal-3607	97	14	bounded	bound	VERB
american_scientific_journal-3607	97	15	by	by	ADP
american_scientific_journal-3607	97	16	coboundary	coboundary	NOUN
american_scientific_journal-3607	97	17	which	which	PRON
american_scientific_journal-3607	97	18	is	be	AUX
american_scientific_journal-3607	97	19	the	the	DET
american_scientific_journal-3607	97	20	image	image	NOUN
american_scientific_journal-3607	97	21	of	of	ADP
american_scientific_journal-3607	97	22	(	(	PUNCT
american_scientific_journal-3607	97	23	)	)	PUNCT
american_scientific_journal-3607	97	24	b	b	NOUN
american_scientific_journal-3607	97	25	,	,	PUNCT
american_scientific_journal-3607	97	26	kerf	kerf	NOUN
american_scientific_journal-3607	97	27	x	x	SYM
american_scientific_journal-3607	97	28	,	,	PUNCT
american_scientific_journal-3607	97	29	the	the	DET
american_scientific_journal-3607	97	30	image	image	NOUN
american_scientific_journal-3607	97	31	of	of	ADP
american_scientific_journal-3607	97	32	(	(	PUNCT
american_scientific_journal-3607	97	33	)	)	PUNCT
american_scientific_journal-3607	97	34	b	b	NOUN
american_scientific_journal-3607	97	35	,	,	PUNCT
american_scientific_journal-3607	97	36	kerf	kerf	NOUN
american_scientific_journal-3607	97	37	x	x	VERB
american_scientific_journal-3607	97	38	is	be	AUX
american_scientific_journal-3607	97	39	a	a	DET
american_scientific_journal-3607	97	40	divisor	divisor	NOUN
american_scientific_journal-3607	97	41	of	of	ADP
american_scientific_journal-3607	97	42	the	the	DET
american_scientific_journal-3607	97	43	order	order	NOUN
american_scientific_journal-3607	97	44	of	of	ADP
american_scientific_journal-3607	97	45	(	(	PUNCT
american_scientific_journal-3607	97	46	)	)	PUNCT
american_scientific_journal-3607	97	47	b	b	NOUN
american_scientific_journal-3607	97	48	,	,	PUNCT
american_scientific_journal-3607	97	49	kerf	kerf	NOUN
american_scientific_journal-3607	97	50	x	x	NOUN
american_scientific_journal-3607	97	51	.	.	PUNCT
american_scientific_journal-3607	98	1	thus	thus	ADV
american_scientific_journal-3607	98	2	the	the	DET
american_scientific_journal-3607	98	3	1st	1st	ADJ
american_scientific_journal-3607	98	4	–	–	PUNCT
american_scientific_journal-3607	98	5	cohomology	cohomology	NOUN
american_scientific_journal-3607	98	6	group	group	NOUN
american_scientific_journal-3607	98	7	of	of	ADP
american_scientific_journal-3607	98	8	each	each	DET
american_scientific_journal-3607	98	9	2d	2d	NOUN
american_scientific_journal-3607	98	10	planar	planar	ADJ
american_scientific_journal-3607	98	11	closed	closed	ADJ
american_scientific_journal-3607	98	12	system	system	NOUN
american_scientific_journal-3607	98	13	,	,	PUNCT
american_scientific_journal-3607	98	14	which	which	PRON
american_scientific_journal-3607	98	15	is	be	AUX
american_scientific_journal-3607	98	16	defined	define	VERB
american_scientific_journal-3607	98	17	by	by	ADP
american_scientific_journal-3607	98	18	the	the	DET
american_scientific_journal-3607	98	19	ratio	ratio	NOUN
american_scientific_journal-3607	98	20	of	of	ADP
american_scientific_journal-3607	98	21	cocycles	cocycle	NOUN
american_scientific_journal-3607	98	22	to	to	ADP
american_scientific_journal-3607	98	23	the	the	DET
american_scientific_journal-3607	98	24	coboundary	coboundary	NOUN
american_scientific_journal-3607	98	25	,	,	PUNCT
american_scientific_journal-3607	98	26	provides	provide	VERB
american_scientific_journal-3607	98	27	a	a	DET
american_scientific_journal-3607	98	28	definite	definite	ADJ
american_scientific_journal-3607	98	29	value	value	NOUN
american_scientific_journal-3607	98	30	,	,	PUNCT
american_scientific_journal-3607	98	31	which	which	PRON
american_scientific_journal-3607	98	32	we	we	PRON
american_scientific_journal-3607	98	33	shall	shall	AUX
american_scientific_journal-3607	98	34	consider	consider	VERB
american_scientific_journal-3607	98	35	as	as	ADP
american_scientific_journal-3607	98	36	z	z	PROPN
american_scientific_journal-3607	98	37	,	,	PUNCT
american_scientific_journal-3607	98	38	the	the	DET
american_scientific_journal-3607	98	39	group	group	NOUN
american_scientific_journal-3607	98	40	of	of	ADP
american_scientific_journal-3607	98	41	integers	integer	NOUN
american_scientific_journal-3607	98	42	.	.	PUNCT
american_scientific_journal-3607	99	1	the	the	DET
american_scientific_journal-3607	99	2	computed	compute	VERB
american_scientific_journal-3607	99	3	value	value	NOUN
american_scientific_journal-3607	99	4	of	of	ADP
american_scientific_journal-3607	99	5	the	the	DET
american_scientific_journal-3607	99	6	1st	1st	ADJ
american_scientific_journal-3607	99	7	–	–	PUNCT
american_scientific_journal-3607	99	8	cohomology	cohomology	NOUN
american_scientific_journal-3607	99	9	group	group	NOUN
american_scientific_journal-3607	99	10	of	of	ADP
american_scientific_journal-3607	99	11	each	each	DET
american_scientific_journal-3607	99	12	2d	2d	NOUN
american_scientific_journal-3607	99	13	planar	planar	ADJ
american_scientific_journal-3607	99	14	closed	close	VERB
american_scientific_journal-3607	99	15	system	system	NOUN
american_scientific_journal-3607	99	16	therefore	therefore	ADV
american_scientific_journal-3607	99	17	shows	show	VERB
american_scientific_journal-3607	99	18	all	all	DET
american_scientific_journal-3607	99	19	the	the	DET
american_scientific_journal-3607	99	20	integer	integer	NOUN
american_scientific_journal-3607	99	21	combination	combination	NOUN
american_scientific_journal-3607	99	22	of	of	ADP
american_scientific_journal-3607	99	23	the	the	DET
american_scientific_journal-3607	99	24	2d	2d	PROPN
american_scientific_journal-3607	99	25	planar	planar	ADJ
american_scientific_journal-3607	99	26	closed	close	VERB
american_scientific_journal-3607	99	27	systems	system	NOUN
american_scientific_journal-3607	99	28	.	.	PUNCT
american_scientific_journal-3607	100	1	an	an	DET
american_scientific_journal-3607	100	2	indication	indication	NOUN
american_scientific_journal-3607	100	3	that	that	SCONJ
american_scientific_journal-3607	100	4	there	there	PRON
american_scientific_journal-3607	100	5	is	be	VERB
american_scientific_journal-3607	100	6	1	1	NUM
american_scientific_journal-3607	100	7	,	,	PUNCT
american_scientific_journal-3607	100	8	2	2	NUM
american_scientific_journal-3607	100	9	…	…	PUNCT
american_scientific_journal-3607	100	10	increase	increase	NOUN
american_scientific_journal-3607	100	11	in	in	ADP
american_scientific_journal-3607	100	12	continuity	continuity	NOUN
american_scientific_journal-3607	100	13	and	and	CCONJ
american_scientific_journal-3607	100	14	connectivity	connectivity	NOUN
american_scientific_journal-3607	100	15	of	of	ADP
american_scientific_journal-3607	100	16	the	the	DET
american_scientific_journal-3607	100	17	parts	part	NOUN
american_scientific_journal-3607	100	18	of	of	ADP
american_scientific_journal-3607	100	19	the	the	DET
american_scientific_journal-3607	100	20	2d	2d	PROPN
american_scientific_journal-3607	100	21	planar	planar	ADJ
american_scientific_journal-3607	100	22	closed	close	VERB
american_scientific_journal-3607	100	23	systems	system	NOUN
american_scientific_journal-3607	100	24	.	.	PUNCT
american_scientific_journal-3607	101	1	this	this	PRON
american_scientific_journal-3607	101	2	is	be	AUX
american_scientific_journal-3607	101	3	another	another	DET
american_scientific_journal-3607	101	4	technique	technique	NOUN
american_scientific_journal-3607	101	5	of	of	ADP
american_scientific_journal-3607	101	6	recovering	recover	VERB
american_scientific_journal-3607	101	7	information	information	NOUN
american_scientific_journal-3607	101	8	about	about	ADP
american_scientific_journal-3607	101	9	the	the	DET
american_scientific_journal-3607	101	10	continuity	continuity	NOUN
american_scientific_journal-3607	101	11	and	and	CCONJ
american_scientific_journal-3607	101	12	connectivity	connectivity	NOUN
american_scientific_journal-3607	101	13	of	of	ADP
american_scientific_journal-3607	101	14	complete	complete	ADJ
american_scientific_journal-3607	101	15	2d	2d	NUM
american_scientific_journal-3607	101	16	planar	planar	ADJ
american_scientific_journal-3607	101	17	closed	close	VERB
american_scientific_journal-3607	101	18	systems	system	NOUN
american_scientific_journal-3607	101	19	through	through	ADP
american_scientific_journal-3607	101	20	the	the	DET
american_scientific_journal-3607	101	21	actions	action	NOUN
american_scientific_journal-3607	101	22	of	of	ADP
american_scientific_journal-3607	101	23	its	its	PRON
american_scientific_journal-3607	101	24	components	component	NOUN
american_scientific_journal-3607	101	25	.	.	PUNCT
american_scientific_journal-3607	102	1	the	the	DET
american_scientific_journal-3607	102	2	algebraic	algebraic	PROPN
american_scientific_journal-3607	102	3	invariant	invariant	ADJ
american_scientific_journal-3607	102	4	,	,	PUNCT
american_scientific_journal-3607	102	5	thus	thus	ADV
american_scientific_journal-3607	102	6	the	the	DET
american_scientific_journal-3607	102	7	1st	1st	ADJ
american_scientific_journal-3607	102	8	–	–	PUNCT
american_scientific_journal-3607	102	9	cohomology	cohomology	NOUN
american_scientific_journal-3607	102	10	group	group	NOUN
american_scientific_journal-3607	102	11	1h	1h	NOUN
american_scientific_journal-3607	102	12	provides	provide	VERB
american_scientific_journal-3607	102	13	the	the	DET
american_scientific_journal-3607	102	14	computable	computable	ADJ
american_scientific_journal-3607	102	15	quantity	quantity	NOUN
american_scientific_journal-3607	102	16	for	for	ADP
american_scientific_journal-3607	102	17	identifying	identify	VERB
american_scientific_journal-3607	102	18	the	the	DET
american_scientific_journal-3607	102	19	continuity	continuity	NOUN
american_scientific_journal-3607	102	20	and	and	CCONJ
american_scientific_journal-3607	102	21	connectivity	connectivity	NOUN
american_scientific_journal-3607	102	22	of	of	ADP
american_scientific_journal-3607	102	23	the	the	DET
american_scientific_journal-3607	102	24	system	system	NOUN
american_scientific_journal-3607	102	25	.	.	PUNCT
american_scientific_journal-3607	103	1	this	this	PRON
american_scientific_journal-3607	103	2	is	be	AUX
american_scientific_journal-3607	103	3	a	a	DET
american_scientific_journal-3607	103	4	new	new	ADJ
american_scientific_journal-3607	103	5	direction	direction	NOUN
american_scientific_journal-3607	103	6	considered	consider	VERB
american_scientific_journal-3607	103	7	in	in	ADP
american_scientific_journal-3607	103	8	studying	study	VERB
american_scientific_journal-3607	103	9	the	the	DET
american_scientific_journal-3607	103	10	extensions	extension	NOUN
american_scientific_journal-3607	103	11	of	of	ADP
american_scientific_journal-3607	103	12	planar	planar	ADJ
american_scientific_journal-3607	103	13	systems	system	NOUN
american_scientific_journal-3607	103	14	using	use	VERB
american_scientific_journal-3607	103	15	cohomology	cohomology	NOUN
american_scientific_journal-3607	103	16	group	group	NOUN
american_scientific_journal-3607	103	17	as	as	ADP
american_scientific_journal-3607	103	18	the	the	DET
american_scientific_journal-3607	103	19	notion	notion	NOUN
american_scientific_journal-3607	103	20	of	of	ADP
american_scientific_journal-3607	103	21	continuous	continuous	ADJ
american_scientific_journal-3607	103	22	maps	map	NOUN
american_scientific_journal-3607	103	23	.	.	PUNCT
american_scientific_journal-3607	104	1	the	the	DET
american_scientific_journal-3607	104	2	paper	paper	NOUN
american_scientific_journal-3607	104	3	believes	believe	VERB
american_scientific_journal-3607	104	4	that	that	SCONJ
american_scientific_journal-3607	104	5	this	this	DET
american_scientific_journal-3607	104	6	work	work	NOUN
american_scientific_journal-3607	104	7	can	can	AUX
american_scientific_journal-3607	104	8	be	be	AUX
american_scientific_journal-3607	104	9	enriched	enrich	VERB
american_scientific_journal-3607	104	10	in	in	ADP
american_scientific_journal-3607	104	11	many	many	ADJ
american_scientific_journal-3607	104	12	directions	direction	NOUN
american_scientific_journal-3607	104	13	.	.	PUNCT
american_scientific_journal-3607	105	1	references	reference	NOUN
american_scientific_journal-3607	105	2	[	[	X
american_scientific_journal-3607	105	3	1	1	NUM
american_scientific_journal-3607	105	4	]	]	PUNCT
american_scientific_journal-3607	105	5	.	.	PUNCT
american_scientific_journal-3607	106	1	kinsey	kinsey	PROPN
american_scientific_journal-3607	106	2	,	,	PUNCT
american_scientific_journal-3607	106	3	l.	l.	PROPN
american_scientific_journal-3607	106	4	c.	c.	PROPN
american_scientific_journal-3607	106	5	(	(	PUNCT
american_scientific_journal-3607	106	6	1993	1993	NUM
american_scientific_journal-3607	106	7	)	)	PUNCT
american_scientific_journal-3607	106	8	,	,	PUNCT
american_scientific_journal-3607	106	9	topology	topology	NOUN
american_scientific_journal-3607	106	10	of	of	ADP
american_scientific_journal-3607	106	11	surfaces	surface	NOUN
american_scientific_journal-3607	106	12	,	,	PUNCT
american_scientific_journal-3607	106	13	springer	springer	NOUN
american_scientific_journal-3607	106	14	-	-	PUNCT
american_scientific_journal-3607	106	15	verlag	verlag	PROPN
american_scientific_journal-3607	106	16	n.y	n.y	PROPN
american_scientific_journal-3607	106	17	.	.	PROPN
american_scientific_journal-3607	106	18	271	271	NUM
american_scientific_journal-3607	106	19	pp	pp	NOUN
american_scientific_journal-3607	106	20	.	.	PUNCT
american_scientific_journal-3607	107	1	[	[	X
american_scientific_journal-3607	107	2	2	2	NUM
american_scientific_journal-3607	107	3	]	]	PUNCT
american_scientific_journal-3607	107	4	.	.	PUNCT
american_scientific_journal-3607	108	1	massey	massey	PROPN
american_scientific_journal-3607	108	2	,	,	PUNCT
american_scientific_journal-3607	108	3	w.	w.	PROPN
american_scientific_journal-3607	108	4	(	(	PUNCT
american_scientific_journal-3607	108	5	2000	2000	NUM
american_scientific_journal-3607	108	6	)	)	PUNCT
american_scientific_journal-3607	108	7	,	,	PUNCT
american_scientific_journal-3607	108	8	a	a	DET
american_scientific_journal-3607	108	9	basic	basic	ADJ
american_scientific_journal-3607	108	10	course	course	NOUN
american_scientific_journal-3607	108	11	in	in	ADP
american_scientific_journal-3607	108	12	algebraic	algebraic	PROPN
american_scientific_journal-3607	108	13	topology	topology	NOUN
american_scientific_journal-3607	108	14	,	,	PUNCT
american_scientific_journal-3607	108	15	springer	springer	NOUN
american_scientific_journal-3607	108	16	-	-	PUNCT
american_scientific_journal-3607	108	17	verlag	verlag	PROPN
american_scientific_journal-3607	108	18	,	,	PUNCT
american_scientific_journal-3607	108	19	new	new	PROPN
american_scientific_journal-3607	108	20	york	york	PROPN
american_scientific_journal-3607	108	21	,	,	PUNCT
american_scientific_journal-3607	108	22	428	428	NUM
american_scientific_journal-3607	108	23	pp	pp	NOUN
american_scientific_journal-3607	108	24	.	.	PUNCT
american_scientific_journal-3607	109	1	[	[	X
american_scientific_journal-3607	109	2	3	3	NUM
american_scientific_journal-3607	109	3	]	]	PUNCT
american_scientific_journal-3607	109	4	.	.	PUNCT
american_scientific_journal-3607	110	1	weibil	weibil	PROPN
american_scientific_journal-3607	110	2	,	,	PUNCT
american_scientific_journal-3607	110	3	c.	c.	PROPN
american_scientific_journal-3607	110	4	a.	a.	PROPN
american_scientific_journal-3607	110	5	(	(	PUNCT
american_scientific_journal-3607	110	6	1994	1994	NUM
american_scientific_journal-3607	110	7	)	)	PUNCT
american_scientific_journal-3607	110	8	,	,	PUNCT
american_scientific_journal-3607	110	9	an	an	DET
american_scientific_journal-3607	110	10	introduction	introduction	NOUN
american_scientific_journal-3607	110	11	to	to	ADP
american_scientific_journal-3607	110	12	homological	homological	ADJ
american_scientific_journal-3607	110	13	to	to	ADP
american_scientific_journal-3607	110	14	algebra	algebra	PROPN
american_scientific_journal-3607	110	15	,	,	PUNCT
american_scientific_journal-3607	110	16	cambridge	cambridge	PROPN
american_scientific_journal-3607	110	17	studies	study	NOUN
american_scientific_journal-3607	110	18	in	in	ADP
american_scientific_journal-3607	110	19	advanced	advanced	ADJ
american_scientific_journal-3607	110	20	mathematics	mathematic	NOUN
american_scientific_journal-3607	110	21	,	,	PUNCT
american_scientific_journal-3607	110	22	38	38	NUM
american_scientific_journal-3607	110	23	.	.	PUNCT
american_scientific_journal-3607	111	1	cambridge	cambridge	PROPN
american_scientific_journal-3607	111	2	university	university	PROPN
american_scientific_journal-3607	111	3	press	press	PROPN
american_scientific_journal-3607	111	4	,	,	PUNCT
american_scientific_journal-3607	111	5	cambridge	cambridge	PROPN
american_scientific_journal-3607	111	6	,	,	PUNCT
american_scientific_journal-3607	111	7	450	450	NUM
american_scientific_journal-3607	111	8	pp	pp	NOUN
american_scientific_journal-3607	111	9	.	.	PUNCT