id	sid	tid	token	lemma	pos
ejpam-3673	1	1	european	european	PROPN
ejpam-3673	1	2	journal	journal	PROPN
ejpam-3673	1	3	of	of	ADP
ejpam-3673	1	4	pure	pure	ADJ
ejpam-3673	1	5	and	and	CCONJ
ejpam-3673	1	6	applied	apply	VERB
ejpam-3673	1	7	mathematics	mathematic	NOUN
ejpam-3673	1	8	vol	vol	NOUN
ejpam-3673	1	9	.	.	PROPN
ejpam-3673	2	1	13	13	NUM
ejpam-3673	2	2	,	,	PUNCT
ejpam-3673	2	3	no	no	INTJ
ejpam-3673	2	4	.	.	NOUN
ejpam-3673	2	5	2	2	NUM
ejpam-3673	2	6	,	,	PUNCT
ejpam-3673	2	7	2020	2020	NUM
ejpam-3673	2	8	,	,	PUNCT
ejpam-3673	2	9	323	323	NUM
ejpam-3673	2	10	-	-	SYM
ejpam-3673	2	11	345	345	NUM
ejpam-3673	2	12	issn	issn	PROPN
ejpam-3673	2	13	1307	1307	NUM
ejpam-3673	2	14	-	-	SYM
ejpam-3673	2	15	5543	5543	NUM
ejpam-3673	2	16	–	–	PUNCT
ejpam-3673	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3673	2	18	published	publish	VERB
ejpam-3673	2	19	by	by	ADP
ejpam-3673	2	20	new	new	PROPN
ejpam-3673	2	21	york	york	PROPN
ejpam-3673	2	22	business	business	PROPN
ejpam-3673	2	23	global	global	PROPN
ejpam-3673	2	24	on	on	ADP
ejpam-3673	2	25	the	the	DET
ejpam-3673	2	26	category	category	NOUN
ejpam-3673	2	27	of	of	ADP
ejpam-3673	2	28	weakly	weakly	ADJ
ejpam-3673	2	29	u	u	NOUN
ejpam-3673	2	30	-	-	NOUN
ejpam-3673	2	31	complexes	complexes	ADJ
ejpam-3673	2	32	gustina	gustina	NOUN
ejpam-3673	2	33	elfiyanti1,2,∗	elfiyanti1,2,∗	PROPN
ejpam-3673	2	34	,	,	PUNCT
ejpam-3673	2	35	intan	intan	PROPN
ejpam-3673	2	36	muchtadi	muchtadi	PROPN
ejpam-3673	2	37	-	-	PUNCT
ejpam-3673	2	38	alamsyah1	alamsyah1	PROPN
ejpam-3673	2	39	,	,	PUNCT
ejpam-3673	2	40	fajar	fajar	PROPN
ejpam-3673	2	41	yuliawan1	yuliawan1	PROPN
ejpam-3673	2	42	,	,	PUNCT
ejpam-3673	2	43	dellavitha	dellavitha	VERB
ejpam-3673	2	44	nasution1	nasution1	NOUN
ejpam-3673	2	45	1	1	NUM
ejpam-3673	2	46	algebra	algebra	NOUN
ejpam-3673	2	47	research	research	NOUN
ejpam-3673	2	48	group	group	NOUN
ejpam-3673	2	49	,	,	PUNCT
ejpam-3673	2	50	faculty	faculty	NOUN
ejpam-3673	2	51	of	of	ADP
ejpam-3673	2	52	mathematics	mathematic	NOUN
ejpam-3673	2	53	and	and	CCONJ
ejpam-3673	2	54	natural	natural	ADJ
ejpam-3673	2	55	sciences	science	NOUN
ejpam-3673	2	56	,	,	PUNCT
ejpam-3673	2	57	institut	institut	PROPN
ejpam-3673	2	58	teknologi	teknologi	PROPN
ejpam-3673	2	59	bandung	bandung	PROPN
ejpam-3673	2	60	,	,	PUNCT
ejpam-3673	2	61	bandung	bandung	PROPN
ejpam-3673	2	62	,	,	PUNCT
ejpam-3673	2	63	indonesia	indonesia	PROPN
ejpam-3673	2	64	2	2	NUM
ejpam-3673	2	65	mathematics	mathematics	PROPN
ejpam-3673	2	66	department	department	NOUN
ejpam-3673	2	67	,	,	PUNCT
ejpam-3673	2	68	faculty	faculty	NOUN
ejpam-3673	2	69	of	of	ADP
ejpam-3673	2	70	sciences	science	NOUN
ejpam-3673	2	71	and	and	CCONJ
ejpam-3673	2	72	technology	technology	NOUN
ejpam-3673	2	73	,	,	PUNCT
ejpam-3673	2	74	uin	uin	PROPN
ejpam-3673	2	75	jakarta	jakarta	PROPN
ejpam-3673	2	76	,	,	PUNCT
ejpam-3673	2	77	jakarta	jakarta	PROPN
ejpam-3673	2	78	,	,	PUNCT
ejpam-3673	2	79	indonesia	indonesia	PROPN
ejpam-3673	2	80	abstract	abstract	NOUN
ejpam-3673	2	81	.	.	PUNCT
ejpam-3673	3	1	motivated	motivate	VERB
ejpam-3673	3	2	by	by	ADP
ejpam-3673	3	3	a	a	DET
ejpam-3673	3	4	study	study	NOUN
ejpam-3673	3	5	of	of	ADP
ejpam-3673	3	6	davvaz	davvaz	NOUN
ejpam-3673	3	7	and	and	CCONJ
ejpam-3673	3	8	shabbani	shabbani	ADJ
ejpam-3673	3	9	which	which	PRON
ejpam-3673	3	10	introduced	introduce	VERB
ejpam-3673	3	11	the	the	DET
ejpam-3673	3	12	concept	concept	NOUN
ejpam-3673	3	13	of	of	ADP
ejpam-3673	3	14	ucomplexes	ucomplexe	NOUN
ejpam-3673	3	15	and	and	CCONJ
ejpam-3673	3	16	proposed	propose	VERB
ejpam-3673	3	17	a	a	DET
ejpam-3673	3	18	generalization	generalization	NOUN
ejpam-3673	3	19	on	on	ADP
ejpam-3673	3	20	some	some	DET
ejpam-3673	3	21	results	result	NOUN
ejpam-3673	3	22	in	in	ADP
ejpam-3673	3	23	homological	homological	ADJ
ejpam-3673	3	24	algebra	algebra	NOUN
ejpam-3673	3	25	,	,	PUNCT
ejpam-3673	3	26	we	we	PRON
ejpam-3673	3	27	study	study	VERB
ejpam-3673	3	28	the	the	DET
ejpam-3673	3	29	category	category	NOUN
ejpam-3673	3	30	of	of	ADP
ejpam-3673	3	31	u	u	PROPN
ejpam-3673	3	32	-complexes	-complexe	NOUN
ejpam-3673	3	33	and	and	CCONJ
ejpam-3673	3	34	the	the	DET
ejpam-3673	3	35	homotopy	homotopy	NOUN
ejpam-3673	3	36	category	category	NOUN
ejpam-3673	3	37	of	of	ADP
ejpam-3673	3	38	u	u	PROPN
ejpam-3673	3	39	-complexes	-complexe	NOUN
ejpam-3673	3	40	.	.	PUNCT
ejpam-3673	4	1	in	in	ADP
ejpam-3673	4	2	[	[	X
ejpam-3673	4	3	8	8	NUM
ejpam-3673	4	4	]	]	PUNCT
ejpam-3673	4	5	we	we	PRON
ejpam-3673	4	6	said	say	VERB
ejpam-3673	4	7	that	that	SCONJ
ejpam-3673	4	8	the	the	DET
ejpam-3673	4	9	category	category	NOUN
ejpam-3673	4	10	of	of	ADP
ejpam-3673	4	11	u	u	NOUN
ejpam-3673	4	12	-	-	NOUN
ejpam-3673	4	13	complexes	complex	NOUN
ejpam-3673	4	14	is	be	AUX
ejpam-3673	4	15	an	an	DET
ejpam-3673	4	16	abelian	abelian	ADJ
ejpam-3673	4	17	category	category	NOUN
ejpam-3673	4	18	.	.	PUNCT
ejpam-3673	5	1	here	here	ADV
ejpam-3673	5	2	,	,	PUNCT
ejpam-3673	5	3	we	we	PRON
ejpam-3673	5	4	show	show	VERB
ejpam-3673	5	5	that	that	SCONJ
ejpam-3673	5	6	the	the	DET
ejpam-3673	5	7	object	object	NOUN
ejpam-3673	5	8	that	that	PRON
ejpam-3673	5	9	we	we	PRON
ejpam-3673	5	10	claimed	claim	VERB
ejpam-3673	5	11	to	to	PART
ejpam-3673	5	12	be	be	AUX
ejpam-3673	5	13	the	the	DET
ejpam-3673	5	14	kernel	kernel	NOUN
ejpam-3673	5	15	of	of	ADP
ejpam-3673	5	16	a	a	DET
ejpam-3673	5	17	morphism	morphism	NOUN
ejpam-3673	5	18	of	of	ADP
ejpam-3673	5	19	u	u	PROPN
ejpam-3673	5	20	-complexes	-complexe	NOUN
ejpam-3673	5	21	does	do	AUX
ejpam-3673	5	22	not	not	PART
ejpam-3673	5	23	satisfy	satisfy	VERB
ejpam-3673	5	24	the	the	DET
ejpam-3673	5	25	universal	universal	ADJ
ejpam-3673	5	26	property	property	NOUN
ejpam-3673	5	27	of	of	ADP
ejpam-3673	5	28	the	the	DET
ejpam-3673	5	29	kernel	kernel	NOUN
ejpam-3673	5	30	,	,	PUNCT
ejpam-3673	5	31	hence	hence	ADV
ejpam-3673	5	32	we	we	PRON
ejpam-3673	5	33	can	can	AUX
ejpam-3673	5	34	not	not	PART
ejpam-3673	5	35	conclude	conclude	VERB
ejpam-3673	5	36	that	that	SCONJ
ejpam-3673	5	37	the	the	DET
ejpam-3673	5	38	category	category	NOUN
ejpam-3673	5	39	of	of	ADP
ejpam-3673	5	40	u	u	PROPN
ejpam-3673	5	41	-complexes	-complexe	NOUN
ejpam-3673	5	42	is	be	AUX
ejpam-3673	5	43	an	an	DET
ejpam-3673	5	44	abelian	abelian	ADJ
ejpam-3673	5	45	category	category	NOUN
ejpam-3673	5	46	.	.	PUNCT
ejpam-3673	6	1	the	the	DET
ejpam-3673	6	2	homotopy	homotopy	NOUN
ejpam-3673	6	3	category	category	NOUN
ejpam-3673	6	4	of	of	ADP
ejpam-3673	6	5	u	u	NOUN
ejpam-3673	6	6	-	-	NOUN
ejpam-3673	6	7	complexes	complex	NOUN
ejpam-3673	6	8	is	be	AUX
ejpam-3673	6	9	an	an	DET
ejpam-3673	6	10	additive	additive	ADJ
ejpam-3673	6	11	category	category	NOUN
ejpam-3673	6	12	.	.	PUNCT
ejpam-3673	7	1	in	in	ADP
ejpam-3673	7	2	this	this	DET
ejpam-3673	7	3	paper	paper	NOUN
ejpam-3673	7	4	,	,	PUNCT
ejpam-3673	7	5	we	we	PRON
ejpam-3673	7	6	propose	propose	VERB
ejpam-3673	7	7	a	a	DET
ejpam-3673	7	8	weakly	weakly	ADJ
ejpam-3673	7	9	chain	chain	NOUN
ejpam-3673	7	10	u	u	NOUN
ejpam-3673	7	11	-	-	NOUN
ejpam-3673	7	12	complex	complex	ADJ
ejpam-3673	7	13	by	by	ADP
ejpam-3673	7	14	changing	change	VERB
ejpam-3673	7	15	the	the	DET
ejpam-3673	7	16	second	second	ADJ
ejpam-3673	7	17	condition	condition	NOUN
ejpam-3673	7	18	of	of	ADP
ejpam-3673	7	19	the	the	DET
ejpam-3673	7	20	chain	chain	NOUN
ejpam-3673	7	21	u	u	NOUN
ejpam-3673	7	22	-	-	NOUN
ejpam-3673	7	23	complex	complex	ADJ
ejpam-3673	7	24	.	.	PUNCT
ejpam-3673	8	1	we	we	PRON
ejpam-3673	8	2	prove	prove	VERB
ejpam-3673	8	3	that	that	SCONJ
ejpam-3673	8	4	the	the	DET
ejpam-3673	8	5	homotopy	homotopy	NOUN
ejpam-3673	8	6	category	category	NOUN
ejpam-3673	8	7	of	of	ADP
ejpam-3673	8	8	weakly	weakly	ADJ
ejpam-3673	8	9	u	u	NOUN
ejpam-3673	8	10	-	-	NOUN
ejpam-3673	8	11	complexes	complex	NOUN
ejpam-3673	8	12	is	be	AUX
ejpam-3673	8	13	a	a	DET
ejpam-3673	8	14	triangulated	triangulate	VERB
ejpam-3673	8	15	category	category	NOUN
ejpam-3673	8	16	.	.	PUNCT
ejpam-3673	9	1	2020	2020	NUM
ejpam-3673	9	2	mathematics	mathematic	NOUN
ejpam-3673	9	3	subject	subject	NOUN
ejpam-3673	9	4	classifications	classification	NOUN
ejpam-3673	9	5	:	:	PUNCT
ejpam-3673	9	6	18e05,18g35	18e05,18g35	NUM
ejpam-3673	9	7	,	,	PUNCT
ejpam-3673	9	8	18g80	18g80	NUM
ejpam-3673	9	9	key	key	ADJ
ejpam-3673	9	10	words	word	NOUN
ejpam-3673	9	11	and	and	CCONJ
ejpam-3673	9	12	phrases	phrase	NOUN
ejpam-3673	9	13	:	:	PUNCT
ejpam-3673	9	14	u	u	NOUN
ejpam-3673	9	15	-	-	NOUN
ejpam-3673	9	16	complexes	complex	NOUN
ejpam-3673	9	17	,	,	PUNCT
ejpam-3673	9	18	weakly	weakly	ADJ
ejpam-3673	9	19	u	u	NOUN
ejpam-3673	9	20	-	-	NOUN
ejpam-3673	9	21	complexes	complex	NOUN
ejpam-3673	9	22	,	,	PUNCT
ejpam-3673	9	23	homotopy	homotopy	NOUN
ejpam-3673	9	24	category	category	NOUN
ejpam-3673	9	25	of	of	ADP
ejpam-3673	9	26	weakly	weakly	ADJ
ejpam-3673	9	27	u	u	NOUN
ejpam-3673	9	28	-	-	NOUN
ejpam-3673	9	29	complexes	complex	NOUN
ejpam-3673	9	30	,	,	PUNCT
ejpam-3673	9	31	triangulated	triangulate	VERB
ejpam-3673	9	32	category	category	NOUN
ejpam-3673	9	33	.	.	PUNCT
ejpam-3673	10	1	1	1	X
ejpam-3673	10	2	.	.	X
ejpam-3673	10	3	introduction	introduction	NOUN
ejpam-3673	10	4	the	the	DET
ejpam-3673	10	5	notion	notion	NOUN
ejpam-3673	10	6	of	of	ADP
ejpam-3673	10	7	u	u	NOUN
ejpam-3673	10	8	-	-	NOUN
ejpam-3673	10	9	complexes	complex	NOUN
ejpam-3673	10	10	was	be	AUX
ejpam-3673	10	11	introduced	introduce	VERB
ejpam-3673	10	12	by	by	ADP
ejpam-3673	10	13	davvaz	davvaz	NOUN
ejpam-3673	10	14	and	and	CCONJ
ejpam-3673	10	15	shabani	shabani	NOUN
ejpam-3673	10	16	-	-	NOUN
ejpam-3673	10	17	solt	solt	NOUN
ejpam-3673	10	18	in	in	ADP
ejpam-3673	10	19	[	[	X
ejpam-3673	10	20	6	6	NUM
ejpam-3673	10	21	]	]	PUNCT
ejpam-3673	10	22	as	as	ADP
ejpam-3673	10	23	a	a	DET
ejpam-3673	10	24	generalization	generalization	NOUN
ejpam-3673	10	25	of	of	ADP
ejpam-3673	10	26	chain	chain	NOUN
ejpam-3673	10	27	complexes	complex	NOUN
ejpam-3673	10	28	of	of	ADP
ejpam-3673	10	29	r	r	NOUN
ejpam-3673	10	30	-	-	PUNCT
ejpam-3673	10	31	modules	module	NOUN
ejpam-3673	10	32	.	.	PUNCT
ejpam-3673	11	1	they	they	PRON
ejpam-3673	11	2	established	establish	VERB
ejpam-3673	11	3	some	some	DET
ejpam-3673	11	4	results	result	NOUN
ejpam-3673	11	5	in	in	ADP
ejpam-3673	11	6	homological	homological	ADJ
ejpam-3673	11	7	algebra	algebra	NOUN
ejpam-3673	11	8	such	such	ADJ
ejpam-3673	11	9	as	as	ADP
ejpam-3673	11	10	lambek	lambek	PROPN
ejpam-3673	11	11	lemma	lemma	PROPN
ejpam-3673	11	12	,	,	PUNCT
ejpam-3673	11	13	snake	snake	NOUN
ejpam-3673	11	14	lemma	lemma	PROPN
ejpam-3673	11	15	and	and	CCONJ
ejpam-3673	11	16	connecting	connect	VERB
ejpam-3673	11	17	homomorphism	homomorphism	NOUN
ejpam-3673	11	18	and	and	CCONJ
ejpam-3673	11	19	exact	exact	ADJ
ejpam-3673	11	20	triangle	triangle	NOUN
ejpam-3673	11	21	.	.	PUNCT
ejpam-3673	12	1	their	their	PRON
ejpam-3673	12	2	study	study	NOUN
ejpam-3673	12	3	was	be	AUX
ejpam-3673	12	4	motivated	motivate	VERB
ejpam-3673	12	5	by	by	ADP
ejpam-3673	12	6	results	result	NOUN
ejpam-3673	12	7	from	from	ADP
ejpam-3673	12	8	freni	freni	NOUN
ejpam-3673	12	9	and	and	CCONJ
ejpam-3673	12	10	sureau	sureau	NOUN
ejpam-3673	12	11	in	in	ADP
ejpam-3673	12	12	[	[	X
ejpam-3673	12	13	12	12	NUM
ejpam-3673	12	14	]	]	PUNCT
ejpam-3673	12	15	and	and	CCONJ
ejpam-3673	12	16	davvaz	davvaz	NOUN
ejpam-3673	12	17	and	and	CCONJ
ejpam-3673	12	18	parnian	parnian	ADJ
ejpam-3673	12	19	-	-	PUNCT
ejpam-3673	12	20	garamaleky	garamaleky	NOUN
ejpam-3673	12	21	in	in	ADP
ejpam-3673	12	22	[	[	X
ejpam-3673	12	23	5	5	NUM
ejpam-3673	12	24	]	]	PUNCT
ejpam-3673	12	25	.	.	PUNCT
ejpam-3673	13	1	freni	freni	PROPN
ejpam-3673	13	2	and	and	CCONJ
ejpam-3673	13	3	sureau	sureau	NOUN
ejpam-3673	13	4	introduced	introduce	VERB
ejpam-3673	13	5	a	a	DET
ejpam-3673	13	6	notion	notion	NOUN
ejpam-3673	13	7	of	of	ADP
ejpam-3673	13	8	exact	exact	ADJ
ejpam-3673	13	9	sequences	sequence	NOUN
ejpam-3673	13	10	of	of	ADP
ejpam-3673	13	11	hypergroups	hypergroup	NOUN
ejpam-3673	13	12	by	by	ADP
ejpam-3673	13	13	defining	define	VERB
ejpam-3673	13	14	the	the	DET
ejpam-3673	13	15	kernel	kernel	NOUN
ejpam-3673	13	16	of	of	ADP
ejpam-3673	13	17	a	a	DET
ejpam-3673	13	18	hypergroup	hypergroup	NOUN
ejpam-3673	13	19	homomorphism	homomorphism	NOUN
ejpam-3673	13	20	as	as	ADP
ejpam-3673	13	21	the	the	DET
ejpam-3673	13	22	inverse	inverse	NOUN
ejpam-3673	13	23	image	image	NOUN
ejpam-3673	13	24	of	of	ADP
ejpam-3673	13	25	u	u	PRON
ejpam-3673	13	26	where	where	SCONJ
ejpam-3673	13	27	u	u	NOUN
ejpam-3673	13	28	is	be	AUX
ejpam-3673	13	29	the	the	DET
ejpam-3673	13	30	intersection	intersection	NOUN
ejpam-3673	13	31	of	of	ADP
ejpam-3673	13	32	all	all	DET
ejpam-3673	13	33	ultra	ultra	ADJ
ejpam-3673	13	34	-	-	ADJ
ejpam-3673	13	35	closed	closed	ADJ
ejpam-3673	13	36	subhypergroups	subhypergroup	NOUN
ejpam-3673	13	37	of	of	ADP
ejpam-3673	13	38	its	its	PRON
ejpam-3673	13	39	codomain	codomain	NOUN
ejpam-3673	13	40	(	(	PUNCT
ejpam-3673	13	41	note	note	VERB
ejpam-3673	13	42	that	that	SCONJ
ejpam-3673	13	43	a	a	DET
ejpam-3673	13	44	hypergroup	hypergroup	NOUN
ejpam-3673	13	45	does	do	AUX
ejpam-3673	13	46	not	not	PART
ejpam-3673	13	47	always	always	ADV
ejpam-3673	13	48	has	have	VERB
ejpam-3673	13	49	zero	zero	NUM
ejpam-3673	13	50	element	element	NOUN
ejpam-3673	13	51	)	)	PUNCT
ejpam-3673	13	52	.	.	PUNCT
ejpam-3673	14	1	inspired	inspire	VERB
ejpam-3673	14	2	by	by	ADP
ejpam-3673	14	3	this	this	PRON
ejpam-3673	14	4	,	,	PUNCT
ejpam-3673	14	5	davvaz	davvaz	NOUN
ejpam-3673	14	6	and	and	CCONJ
ejpam-3673	14	7	parnian	parnian	ADJ
ejpam-3673	14	8	-	-	PUNCT
ejpam-3673	14	9	garamaleky	garamaleky	PROPN
ejpam-3673	14	10	proposed	propose	VERB
ejpam-3673	14	11	a	a	DET
ejpam-3673	14	12	generalization	generalization	NOUN
ejpam-3673	14	13	of	of	ADP
ejpam-3673	14	14	exact	exact	ADJ
ejpam-3673	14	15	sequences	sequence	NOUN
ejpam-3673	14	16	∗corresponding	∗corresponde	VERB
ejpam-3673	14	17	author	author	NOUN
ejpam-3673	14	18	.	.	PUNCT
ejpam-3673	15	1	doi	doi	NOUN
ejpam-3673	15	2	:	:	PUNCT
ejpam-3673	15	3	https://doi.org/10.29020/nybg.ejpam.v13i2.3673	https://doi.org/10.29020/nybg.ejpam.v13i2.3673	PROPN
ejpam-3673	15	4	email	email	NOUN
ejpam-3673	15	5	addresses	address	NOUN
ejpam-3673	15	6	:	:	PUNCT
ejpam-3673	15	7	gustina.elfiyanti@uinjkt.ac.id	gustina.elfiyanti@uinjkt.ac.id	NUM
ejpam-3673	15	8	(	(	PUNCT
ejpam-3673	15	9	g.	g.	PROPN
ejpam-3673	15	10	elfiyanti	elfiyanti	PROPN
ejpam-3673	15	11	)	)	PUNCT
ejpam-3673	15	12	,	,	PUNCT
ejpam-3673	15	13	{	{	PUNCT
ejpam-3673	15	14	ntan	ntan	PROPN
ejpam-3673	15	15	,	,	PUNCT
ejpam-3673	15	16	fajar.yuliawan	fajar.yuliawan	PROPN
ejpam-3673	15	17	,	,	PUNCT
ejpam-3673	15	18	dellavitha}@math.itb.ac.id	dellavitha}@math.itb.ac.id	NOUN
ejpam-3673	15	19	(	(	PUNCT
ejpam-3673	15	20	i.	i.	NOUN
ejpam-3673	15	21	muchtadi	muchtadi	NOUN
ejpam-3673	15	22	-	-	PUNCT
ejpam-3673	15	23	alamsyah	alamsyah	NOUN
ejpam-3673	15	24	,	,	PUNCT
ejpam-3673	15	25	f.	f.	PROPN
ejpam-3673	15	26	yuliawan	yuliawan	PROPN
ejpam-3673	15	27	,	,	PUNCT
ejpam-3673	15	28	d.	d.	PROPN
ejpam-3673	15	29	nasution	nasution	PROPN
ejpam-3673	15	30	)	)	PUNCT
ejpam-3673	15	31	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3673	16	1	323	323	NUM
ejpam-3673	16	2	c	c	X
ejpam-3673	16	3	©	©	NOUN
ejpam-3673	16	4	2020	2020	NUM
ejpam-3673	16	5	ejpam	ejpam	VERB
ejpam-3673	16	6	all	all	DET
ejpam-3673	16	7	rights	right	NOUN
ejpam-3673	16	8	reserved	reserve	VERB
ejpam-3673	16	9	.	.	PUNCT
ejpam-3673	17	1	g.	g.	PROPN
ejpam-3673	17	2	elfiyanti	elfiyanti	PROPN
ejpam-3673	17	3	et	et	PROPN
ejpam-3673	17	4	al	al	PROPN
ejpam-3673	17	5	.	.	PUNCT
ejpam-3673	17	6	/	/	SYM
ejpam-3673	17	7	eur	eur	PROPN
ejpam-3673	17	8	.	.	PUNCT
ejpam-3673	18	1	j.	j.	PROPN
ejpam-3673	18	2	pure	pure	PROPN
ejpam-3673	18	3	appl	appl	PROPN
ejpam-3673	18	4	.	.	PROPN
ejpam-3673	18	5	math	math	PROPN
ejpam-3673	18	6	,	,	PUNCT
ejpam-3673	18	7	13	13	NUM
ejpam-3673	18	8	(	(	PUNCT
ejpam-3673	18	9	2	2	NUM
ejpam-3673	18	10	)	)	PUNCT
ejpam-3673	18	11	(	(	PUNCT
ejpam-3673	18	12	2020	2020	NUM
ejpam-3673	18	13	)	)	PUNCT
ejpam-3673	18	14	,	,	PUNCT
ejpam-3673	18	15	323	323	NUM
ejpam-3673	18	16	-	-	SYM
ejpam-3673	18	17	345	345	NUM
ejpam-3673	18	18	324	324	NUM
ejpam-3673	18	19	of	of	ADP
ejpam-3673	18	20	r	r	NOUN
ejpam-3673	18	21	-	-	PUNCT
ejpam-3673	18	22	modules	module	NOUN
ejpam-3673	18	23	,	,	PUNCT
ejpam-3673	18	24	called	call	VERB
ejpam-3673	18	25	u	u	NOUN
ejpam-3673	18	26	-	-	ADJ
ejpam-3673	18	27	exact	exact	ADJ
ejpam-3673	18	28	sequences	sequence	NOUN
ejpam-3673	18	29	,	,	PUNCT
ejpam-3673	18	30	by	by	ADP
ejpam-3673	18	31	replacing	replace	VERB
ejpam-3673	18	32	the	the	DET
ejpam-3673	18	33	kernel	kernel	NOUN
ejpam-3673	18	34	of	of	ADP
ejpam-3673	18	35	any	any	DET
ejpam-3673	18	36	differential	differential	NOUN
ejpam-3673	18	37	with	with	ADP
ejpam-3673	18	38	the	the	DET
ejpam-3673	18	39	preimage	preimage	NOUN
ejpam-3673	18	40	of	of	ADP
ejpam-3673	18	41	a	a	DET
ejpam-3673	18	42	submodule	submodule	NOUN
ejpam-3673	18	43	u	u	NOUN
ejpam-3673	18	44	of	of	ADP
ejpam-3673	18	45	its	its	PRON
ejpam-3673	18	46	codomain	codomain	NOUN
ejpam-3673	18	47	.	.	PUNCT
ejpam-3673	19	1	then	then	ADV
ejpam-3673	19	2	,	,	PUNCT
ejpam-3673	19	3	anvariyeh	anvariyeh	NOUN
ejpam-3673	19	4	and	and	CCONJ
ejpam-3673	19	5	davvaz	davvaz	NOUN
ejpam-3673	19	6	studied	study	VERB
ejpam-3673	19	7	application	application	NOUN
ejpam-3673	19	8	of	of	ADP
ejpam-3673	19	9	u	u	NOUN
ejpam-3673	19	10	-exactness	-exactness	NOUN
ejpam-3673	19	11	and	and	CCONJ
ejpam-3673	19	12	u	u	NOUN
ejpam-3673	19	13	-split	-split	NOUN
ejpam-3673	19	14	exact	exact	ADJ
ejpam-3673	19	15	sequences	sequence	NOUN
ejpam-3673	20	1	[	[	X
ejpam-3673	20	2	1	1	NUM
ejpam-3673	20	3	]	]	PUNCT
ejpam-3673	20	4	.	.	PUNCT
ejpam-3673	21	1	further	further	ADJ
ejpam-3673	21	2	results	result	NOUN
ejpam-3673	21	3	on	on	ADP
ejpam-3673	21	4	u	u	NOUN
ejpam-3673	21	5	-exactness	-exactness	NOUN
ejpam-3673	21	6	given	give	VERB
ejpam-3673	21	7	by	by	ADP
ejpam-3673	21	8	anvariyeh	anvariyeh	NOUN
ejpam-3673	21	9	and	and	CCONJ
ejpam-3673	21	10	davvaz	davvaz	NOUN
ejpam-3673	21	11	in	in	ADP
ejpam-3673	21	12	[	[	X
ejpam-3673	21	13	2	2	NUM
ejpam-3673	21	14	]	]	PUNCT
ejpam-3673	21	15	and	and	CCONJ
ejpam-3673	21	16	madanshekaf	madanshekaf	PROPN
ejpam-3673	21	17	in	in	ADP
ejpam-3673	21	18	[	[	X
ejpam-3673	21	19	16	16	NUM
ejpam-3673	21	20	]	]	PUNCT
ejpam-3673	21	21	.	.	PUNCT
ejpam-3673	22	1	recently	recently	ADV
ejpam-3673	22	2	some	some	DET
ejpam-3673	22	3	authors	author	NOUN
ejpam-3673	22	4	continued	continue	VERB
ejpam-3673	22	5	working	work	VERB
ejpam-3673	22	6	on	on	ADP
ejpam-3673	22	7	u	u	NOUN
ejpam-3673	22	8	-	-	NOUN
ejpam-3673	22	9	exactness	exactness	NOUN
ejpam-3673	22	10	.	.	PUNCT
ejpam-3673	23	1	mahatma	mahatma	PROPN
ejpam-3673	23	2	and	and	CCONJ
ejpam-3673	23	3	muchtadialamsyah	muchtadialamsyah	PROPN
ejpam-3673	23	4	defined	define	VERB
ejpam-3673	23	5	u	u	NOUN
ejpam-3673	23	6	-projective	-projective	ADJ
ejpam-3673	23	7	resolutions	resolution	NOUN
ejpam-3673	23	8	and	and	CCONJ
ejpam-3673	23	9	u	u	NOUN
ejpam-3673	23	10	-extension	-extension	NOUN
ejpam-3673	23	11	modules	module	NOUN
ejpam-3673	23	12	[	[	X
ejpam-3673	23	13	17	17	NUM
ejpam-3673	23	14	]	]	PUNCT
ejpam-3673	23	15	.	.	PUNCT
ejpam-3673	24	1	baur	baur	PROPN
ejpam-3673	24	2	et	et	PROPN
ejpam-3673	24	3	al	al	PROPN
ejpam-3673	24	4	.	.	PROPN
ejpam-3673	25	1	then	then	ADV
ejpam-3673	25	2	computed	compute	VERB
ejpam-3673	25	3	the	the	DET
ejpam-3673	25	4	u	u	NOUN
ejpam-3673	25	5	-projective	-projective	ADJ
ejpam-3673	25	6	resolution	resolution	NOUN
ejpam-3673	25	7	of	of	ADP
ejpam-3673	25	8	modules	module	NOUN
ejpam-3673	25	9	over	over	ADP
ejpam-3673	25	10	kq	kq	PROPN
ejpam-3673	25	11	where	where	SCONJ
ejpam-3673	25	12	q	q	NOUN
ejpam-3673	25	13	is	be	AUX
ejpam-3673	25	14	quiver	quiver	NOUN
ejpam-3673	25	15	of	of	ADP
ejpam-3673	25	16	type	type	NOUN
ejpam-3673	25	17	an	an	PRON
ejpam-3673	25	18	and	and	CCONJ
ejpam-3673	25	19	ãn	ãn	NOUN
ejpam-3673	26	1	[	[	X
ejpam-3673	26	2	3	3	NUM
ejpam-3673	26	3	]	]	PUNCT
ejpam-3673	26	4	.	.	PUNCT
ejpam-3673	27	1	fitriani	fitriani	PROPN
ejpam-3673	27	2	,	,	PUNCT
ejpam-3673	27	3	surojo	surojo	ADJ
ejpam-3673	27	4	and	and	CCONJ
ejpam-3673	27	5	wijayanti	wijayanti	PROPN
ejpam-3673	27	6	introduced	introduce	VERB
ejpam-3673	27	7	x	x	NOUN
ejpam-3673	27	8	-	-	PUNCT
ejpam-3673	27	9	sub	sub	ADJ
ejpam-3673	27	10	-	-	ADJ
ejpam-3673	27	11	exact	exact	ADJ
ejpam-3673	27	12	sequence	sequence	NOUN
ejpam-3673	27	13	as	as	ADP
ejpam-3673	27	14	a	a	DET
ejpam-3673	27	15	generalization	generalization	NOUN
ejpam-3673	27	16	of	of	ADP
ejpam-3673	27	17	u	u	NOUN
ejpam-3673	27	18	-	-	ADJ
ejpam-3673	27	19	exact	exact	ADJ
ejpam-3673	27	20	sequence	sequence	NOUN
ejpam-3673	27	21	[	[	X
ejpam-3673	27	22	9	9	NUM
ejpam-3673	27	23	]	]	PUNCT
ejpam-3673	27	24	.	.	PUNCT
ejpam-3673	28	1	by	by	ADP
ejpam-3673	28	2	using	use	VERB
ejpam-3673	28	3	the	the	DET
ejpam-3673	28	4	concept	concept	NOUN
ejpam-3673	28	5	of	of	ADP
ejpam-3673	28	6	x	x	NOUN
ejpam-3673	28	7	-	-	PUNCT
ejpam-3673	28	8	sub	sub	ADJ
ejpam-3673	28	9	-	-	ADJ
ejpam-3673	28	10	exact	exact	ADJ
ejpam-3673	28	11	sequence	sequence	NOUN
ejpam-3673	28	12	,	,	PUNCT
ejpam-3673	28	13	they	they	PRON
ejpam-3673	28	14	studied	study	VERB
ejpam-3673	28	15	x	x	ADJ
ejpam-3673	28	16	-	-	PUNCT
ejpam-3673	28	17	sub	sub	ADJ
ejpam-3673	28	18	-	-	ADJ
ejpam-3673	28	19	linearly	linearly	ADV
ejpam-3673	28	20	independent	independent	ADJ
ejpam-3673	28	21	[	[	X
ejpam-3673	28	22	10	10	NUM
ejpam-3673	28	23	]	]	PUNCT
ejpam-3673	28	24	.	.	PUNCT
ejpam-3673	29	1	furthermore	furthermore	ADV
ejpam-3673	29	2	,	,	PUNCT
ejpam-3673	29	3	the	the	DET
ejpam-3673	29	4	authors	author	NOUN
ejpam-3673	29	5	generalized	generalize	VERB
ejpam-3673	29	6	the	the	DET
ejpam-3673	29	7	u	u	NOUN
ejpam-3673	29	8	-	-	NOUN
ejpam-3673	29	9	generator	generator	NOUN
ejpam-3673	29	10	and	and	CCONJ
ejpam-3673	29	11	m	m	NOUN
ejpam-3673	29	12	-subgenerator	-subgenerator	NOUN
ejpam-3673	29	13	related	relate	VERB
ejpam-3673	29	14	to	to	ADP
ejpam-3673	29	15	category	category	NOUN
ejpam-3673	29	16	σ	σ	PROPN
ejpam-3673	30	1	[	[	X
ejpam-3673	30	2	m	m	X
ejpam-3673	30	3	]	]	X
ejpam-3673	31	1	[	[	X
ejpam-3673	31	2	11	11	NUM
ejpam-3673	31	3	]	]	PUNCT
ejpam-3673	31	4	.	.	PUNCT
ejpam-3673	32	1	in	in	ADP
ejpam-3673	32	2	[	[	X
ejpam-3673	32	3	7	7	NUM
ejpam-3673	32	4	]	]	PUNCT
ejpam-3673	32	5	and	and	CCONJ
ejpam-3673	32	6	[	[	X
ejpam-3673	32	7	8	8	NUM
ejpam-3673	32	8	]	]	PUNCT
ejpam-3673	32	9	,	,	PUNCT
ejpam-3673	32	10	we	we	PRON
ejpam-3673	32	11	study	study	VERB
ejpam-3673	32	12	the	the	DET
ejpam-3673	32	13	category	category	NOUN
ejpam-3673	32	14	of	of	ADP
ejpam-3673	32	15	u	u	NOUN
ejpam-3673	32	16	-	-	NOUN
ejpam-3673	32	17	complexes	complex	NOUN
ejpam-3673	32	18	and	and	CCONJ
ejpam-3673	32	19	its	its	PRON
ejpam-3673	32	20	homotopy	homotopy	NOUN
ejpam-3673	32	21	category	category	NOUN
ejpam-3673	32	22	of	of	ADP
ejpam-3673	32	23	u	u	NOUN
ejpam-3673	32	24	-	-	NOUN
ejpam-3673	32	25	complexes	complex	NOUN
ejpam-3673	32	26	.	.	PUNCT
ejpam-3673	33	1	we	we	PRON
ejpam-3673	33	2	proved	prove	VERB
ejpam-3673	33	3	that	that	SCONJ
ejpam-3673	33	4	the	the	DET
ejpam-3673	33	5	category	category	NOUN
ejpam-3673	33	6	of	of	ADP
ejpam-3673	33	7	u	u	NOUN
ejpam-3673	33	8	-	-	NOUN
ejpam-3673	33	9	complexes	complex	NOUN
ejpam-3673	33	10	and	and	CCONJ
ejpam-3673	33	11	its	its	PRON
ejpam-3673	33	12	homotopy	homotopy	NOUN
ejpam-3673	33	13	category	category	NOUN
ejpam-3673	33	14	are	be	AUX
ejpam-3673	33	15	additive	additive	ADJ
ejpam-3673	33	16	categories	category	NOUN
ejpam-3673	33	17	.	.	PUNCT
ejpam-3673	34	1	in	in	ADP
ejpam-3673	34	2	this	this	DET
ejpam-3673	34	3	article	article	NOUN
ejpam-3673	34	4	we	we	PRON
ejpam-3673	34	5	provide	provide	VERB
ejpam-3673	34	6	a	a	DET
ejpam-3673	34	7	corrigendum	corrigendum	NOUN
ejpam-3673	34	8	to	to	ADP
ejpam-3673	34	9	the	the	DET
ejpam-3673	34	10	result	result	NOUN
ejpam-3673	34	11	in	in	ADP
ejpam-3673	34	12	[	[	X
ejpam-3673	34	13	8	8	NUM
ejpam-3673	34	14	]	]	PUNCT
ejpam-3673	34	15	which	which	PRON
ejpam-3673	34	16	stated	state	VERB
ejpam-3673	34	17	that	that	SCONJ
ejpam-3673	34	18	the	the	DET
ejpam-3673	34	19	category	category	NOUN
ejpam-3673	34	20	of	of	ADP
ejpam-3673	34	21	u	u	NOUN
ejpam-3673	34	22	-	-	NOUN
ejpam-3673	34	23	complexes	complex	NOUN
ejpam-3673	34	24	is	be	AUX
ejpam-3673	34	25	an	an	DET
ejpam-3673	34	26	abelian	abelian	ADJ
ejpam-3673	34	27	category	category	NOUN
ejpam-3673	34	28	.	.	PUNCT
ejpam-3673	35	1	then	then	ADV
ejpam-3673	35	2	,	,	PUNCT
ejpam-3673	35	3	we	we	PRON
ejpam-3673	35	4	introduce	introduce	VERB
ejpam-3673	35	5	a	a	DET
ejpam-3673	35	6	generalization	generalization	NOUN
ejpam-3673	35	7	of	of	ADP
ejpam-3673	35	8	chain	chain	NOUN
ejpam-3673	35	9	u	u	NOUN
ejpam-3673	35	10	-complexes	-complexe	NOUN
ejpam-3673	35	11	,	,	PUNCT
ejpam-3673	35	12	called	call	VERB
ejpam-3673	35	13	weakly	weakly	ADJ
ejpam-3673	35	14	chain	chain	NOUN
ejpam-3673	35	15	u	u	NOUN
ejpam-3673	35	16	-complexes	-complexe	NOUN
ejpam-3673	35	17	,	,	PUNCT
ejpam-3673	35	18	by	by	ADP
ejpam-3673	35	19	changing	change	VERB
ejpam-3673	35	20	the	the	DET
ejpam-3673	35	21	second	second	ADJ
ejpam-3673	35	22	condition	condition	NOUN
ejpam-3673	35	23	of	of	ADP
ejpam-3673	35	24	in	in	ADP
ejpam-3673	35	25	the	the	DET
ejpam-3673	35	26	definition	definition	NOUN
ejpam-3673	35	27	of	of	ADP
ejpam-3673	35	28	the	the	DET
ejpam-3673	35	29	chain	chain	NOUN
ejpam-3673	35	30	u	u	NOUN
ejpam-3673	35	31	-complexes	-complexe	NOUN
ejpam-3673	35	32	.	.	PUNCT
ejpam-3673	36	1	we	we	PRON
ejpam-3673	36	2	show	show	VERB
ejpam-3673	36	3	that	that	SCONJ
ejpam-3673	36	4	the	the	DET
ejpam-3673	36	5	homotopy	homotopy	NOUN
ejpam-3673	36	6	category	category	NOUN
ejpam-3673	36	7	of	of	ADP
ejpam-3673	36	8	weakly	weakly	ADJ
ejpam-3673	36	9	u	u	NOUN
ejpam-3673	36	10	-	-	NOUN
ejpam-3673	36	11	complexes	complex	NOUN
ejpam-3673	36	12	is	be	AUX
ejpam-3673	36	13	a	a	DET
ejpam-3673	36	14	triangulated	triangulate	VERB
ejpam-3673	36	15	category	category	NOUN
ejpam-3673	36	16	.	.	PUNCT
ejpam-3673	37	1	the	the	DET
ejpam-3673	37	2	paper	paper	NOUN
ejpam-3673	37	3	is	be	AUX
ejpam-3673	37	4	organized	organize	VERB
ejpam-3673	37	5	as	as	SCONJ
ejpam-3673	37	6	follows	follow	VERB
ejpam-3673	37	7	.	.	PUNCT
ejpam-3673	38	1	in	in	ADP
ejpam-3673	38	2	section	section	NOUN
ejpam-3673	38	3	2	2	NUM
ejpam-3673	38	4	,	,	PUNCT
ejpam-3673	38	5	we	we	PRON
ejpam-3673	38	6	give	give	VERB
ejpam-3673	38	7	the	the	DET
ejpam-3673	38	8	definition	definition	NOUN
ejpam-3673	38	9	of	of	ADP
ejpam-3673	38	10	additive	additive	ADJ
ejpam-3673	38	11	category	category	NOUN
ejpam-3673	38	12	,	,	PUNCT
ejpam-3673	38	13	triangulated	triangulate	VERB
ejpam-3673	38	14	category	category	NOUN
ejpam-3673	38	15	and	and	CCONJ
ejpam-3673	38	16	we	we	PRON
ejpam-3673	38	17	review	review	VERB
ejpam-3673	38	18	the	the	DET
ejpam-3673	38	19	category	category	NOUN
ejpam-3673	38	20	of	of	ADP
ejpam-3673	38	21	complexes	complex	NOUN
ejpam-3673	38	22	.	.	PUNCT
ejpam-3673	39	1	in	in	ADP
ejpam-3673	39	2	section	section	NOUN
ejpam-3673	39	3	3	3	NUM
ejpam-3673	39	4	,	,	PUNCT
ejpam-3673	39	5	we	we	PRON
ejpam-3673	39	6	recall	recall	VERB
ejpam-3673	39	7	some	some	DET
ejpam-3673	39	8	results	result	NOUN
ejpam-3673	39	9	in	in	ADP
ejpam-3673	39	10	[	[	X
ejpam-3673	39	11	6	6	NUM
ejpam-3673	39	12	]	]	PUNCT
ejpam-3673	39	13	,	,	PUNCT
ejpam-3673	39	14	[	[	X
ejpam-3673	39	15	7	7	X
ejpam-3673	39	16	]	]	PUNCT
ejpam-3673	39	17	and	and	CCONJ
ejpam-3673	39	18	[	[	X
ejpam-3673	39	19	8	8	NUM
ejpam-3673	39	20	]	]	PUNCT
ejpam-3673	39	21	that	that	PRON
ejpam-3673	39	22	will	will	AUX
ejpam-3673	39	23	be	be	AUX
ejpam-3673	39	24	needed	need	VERB
ejpam-3673	39	25	in	in	ADP
ejpam-3673	39	26	the	the	DET
ejpam-3673	39	27	next	next	ADJ
ejpam-3673	39	28	section	section	NOUN
ejpam-3673	39	29	.	.	PUNCT
ejpam-3673	40	1	section	section	NOUN
ejpam-3673	40	2	4	4	NUM
ejpam-3673	40	3	is	be	AUX
ejpam-3673	40	4	the	the	DET
ejpam-3673	40	5	central	central	ADJ
ejpam-3673	40	6	section	section	NOUN
ejpam-3673	40	7	of	of	ADP
ejpam-3673	40	8	our	our	PRON
ejpam-3673	40	9	paper	paper	NOUN
ejpam-3673	40	10	.	.	PUNCT
ejpam-3673	41	1	in	in	ADP
ejpam-3673	41	2	this	this	DET
ejpam-3673	41	3	section	section	NOUN
ejpam-3673	41	4	we	we	PRON
ejpam-3673	41	5	introduce	introduce	VERB
ejpam-3673	41	6	weakly	weakly	ADJ
ejpam-3673	41	7	u	u	NOUN
ejpam-3673	41	8	-	-	NOUN
ejpam-3673	41	9	complexes	complex	NOUN
ejpam-3673	41	10	and	and	CCONJ
ejpam-3673	41	11	show	show	VERB
ejpam-3673	41	12	that	that	SCONJ
ejpam-3673	41	13	the	the	DET
ejpam-3673	41	14	homotopy	homotopy	NOUN
ejpam-3673	41	15	category	category	NOUN
ejpam-3673	41	16	of	of	ADP
ejpam-3673	41	17	weakly	weakly	ADJ
ejpam-3673	41	18	u	u	NOUN
ejpam-3673	41	19	-	-	NOUN
ejpam-3673	41	20	complexes	complex	NOUN
ejpam-3673	41	21	is	be	AUX
ejpam-3673	41	22	a	a	DET
ejpam-3673	41	23	triangulated	triangulate	VERB
ejpam-3673	41	24	category	category	NOUN
ejpam-3673	41	25	.	.	PUNCT
ejpam-3673	42	1	convention	convention	NOUN
ejpam-3673	42	2	:	:	PUNCT
ejpam-3673	42	3	throughout	throughout	ADP
ejpam-3673	42	4	this	this	DET
ejpam-3673	42	5	paper	paper	NOUN
ejpam-3673	42	6	,	,	PUNCT
ejpam-3673	42	7	unless	unless	SCONJ
ejpam-3673	42	8	otherwise	otherwise	ADV
ejpam-3673	42	9	specified	specify	VERB
ejpam-3673	42	10	,	,	PUNCT
ejpam-3673	42	11	we	we	PRON
ejpam-3673	42	12	use	use	VERB
ejpam-3673	42	13	the	the	DET
ejpam-3673	42	14	following	following	ADJ
ejpam-3673	42	15	notations	notation	NOUN
ejpam-3673	42	16	:	:	PUNCT
ejpam-3673	42	17	r	r	NOUN
ejpam-3673	42	18	denotes	denote	VERB
ejpam-3673	42	19	a	a	DET
ejpam-3673	42	20	ring	ring	NOUN
ejpam-3673	42	21	with	with	ADP
ejpam-3673	42	22	identity	identity	NOUN
ejpam-3673	42	23	.	.	PUNCT
ejpam-3673	43	1	chain	chain	NOUN
ejpam-3673	43	2	complexes	complex	NOUN
ejpam-3673	43	3	and	and	CCONJ
ejpam-3673	43	4	its	its	PRON
ejpam-3673	43	5	generalizations	generalization	NOUN
ejpam-3673	43	6	are	be	AUX
ejpam-3673	43	7	over	over	ADP
ejpam-3673	43	8	r	r	NOUN
ejpam-3673	43	9	-	-	PUNCT
ejpam-3673	43	10	mod	mod	NOUN
ejpam-3673	43	11	,	,	PUNCT
ejpam-3673	43	12	the	the	DET
ejpam-3673	43	13	category	category	NOUN
ejpam-3673	43	14	of	of	ADP
ejpam-3673	43	15	r	r	NOUN
ejpam-3673	43	16	modules	module	NOUN
ejpam-3673	43	17	.	.	PUNCT
ejpam-3673	44	1	c	c	NOUN
ejpam-3673	44	2	(	(	PUNCT
ejpam-3673	44	3	r	r	NOUN
ejpam-3673	44	4	)	)	PUNCT
ejpam-3673	44	5	,	,	PUNCT
ejpam-3673	44	6	u	u	NOUN
ejpam-3673	44	7	-	-	PROPN
ejpam-3673	44	8	c	c	X
ejpam-3673	44	9	(	(	PUNCT
ejpam-3673	44	10	r	r	NOUN
ejpam-3673	44	11	)	)	PUNCT
ejpam-3673	44	12	,	,	PUNCT
ejpam-3673	44	13	cu	cu	PROPN
ejpam-3673	44	14	(	(	PUNCT
ejpam-3673	44	15	r	r	NOUN
ejpam-3673	44	16	)	)	PUNCT
ejpam-3673	44	17	denote	denote	VERB
ejpam-3673	44	18	the	the	DET
ejpam-3673	44	19	category	category	NOUN
ejpam-3673	44	20	of	of	ADP
ejpam-3673	44	21	complexes	complex	NOUN
ejpam-3673	44	22	,	,	PUNCT
ejpam-3673	44	23	u	u	NOUN
ejpam-3673	44	24	-	-	NOUN
ejpam-3673	44	25	complexes	complex	NOUN
ejpam-3673	44	26	and	and	CCONJ
ejpam-3673	44	27	weakly	weakly	ADJ
ejpam-3673	44	28	u	u	NOUN
ejpam-3673	44	29	-	-	NOUN
ejpam-3673	44	30	complexes	complex	NOUN
ejpam-3673	44	31	respectively	respectively	ADV
ejpam-3673	44	32	.	.	PUNCT
ejpam-3673	45	1	we	we	PRON
ejpam-3673	45	2	denote	denote	VERB
ejpam-3673	45	3	0	0	NUM
ejpam-3673	45	4	and	and	CCONJ
ejpam-3673	45	5	1	1	NUM
ejpam-3673	45	6	for	for	ADP
ejpam-3673	45	7	the	the	DET
ejpam-3673	45	8	zero	zero	NUM
ejpam-3673	45	9	and	and	CCONJ
ejpam-3673	45	10	identity	identity	NOUN
ejpam-3673	45	11	morphisms	morphism	NOUN
ejpam-3673	45	12	respectively	respectively	ADV
ejpam-3673	45	13	.	.	PUNCT
ejpam-3673	46	1	2	2	X
ejpam-3673	46	2	.	.	X
ejpam-3673	46	3	preliminaries	preliminary	NOUN
ejpam-3673	46	4	in	in	ADP
ejpam-3673	46	5	this	this	DET
ejpam-3673	46	6	section	section	NOUN
ejpam-3673	46	7	we	we	PRON
ejpam-3673	46	8	recall	recall	VERB
ejpam-3673	46	9	some	some	DET
ejpam-3673	46	10	basic	basic	ADJ
ejpam-3673	46	11	concepts	concept	NOUN
ejpam-3673	46	12	that	that	PRON
ejpam-3673	46	13	will	will	AUX
ejpam-3673	46	14	be	be	AUX
ejpam-3673	46	15	needed	need	VERB
ejpam-3673	46	16	in	in	ADP
ejpam-3673	46	17	the	the	DET
ejpam-3673	46	18	following	follow	VERB
ejpam-3673	46	19	sections	section	NOUN
ejpam-3673	46	20	.	.	PUNCT
ejpam-3673	47	1	for	for	ADP
ejpam-3673	47	2	more	more	ADJ
ejpam-3673	47	3	detail	detail	NOUN
ejpam-3673	47	4	we	we	PRON
ejpam-3673	47	5	refer	refer	VERB
ejpam-3673	47	6	to	to	ADP
ejpam-3673	47	7	[	[	X
ejpam-3673	47	8	4	4	NUM
ejpam-3673	47	9	]	]	PUNCT
ejpam-3673	47	10	,	,	PUNCT
ejpam-3673	47	11	[	[	X
ejpam-3673	47	12	13	13	NUM
ejpam-3673	47	13	]	]	PUNCT
ejpam-3673	47	14	,	,	PUNCT
ejpam-3673	47	15	[	[	X
ejpam-3673	47	16	14	14	NUM
ejpam-3673	47	17	]	]	PUNCT
ejpam-3673	47	18	,	,	PUNCT
ejpam-3673	47	19	[	[	X
ejpam-3673	47	20	15	15	NUM
ejpam-3673	47	21	]	]	PUNCT
ejpam-3673	47	22	,	,	PUNCT
ejpam-3673	47	23	[	[	X
ejpam-3673	47	24	18	18	NUM
ejpam-3673	47	25	]	]	PUNCT
ejpam-3673	47	26	and	and	CCONJ
ejpam-3673	47	27	[	[	X
ejpam-3673	47	28	19	19	NUM
ejpam-3673	47	29	]	]	PUNCT
ejpam-3673	47	30	.	.	PUNCT
ejpam-3673	48	1	2.1	2.1	NUM
ejpam-3673	48	2	.	.	PUNCT
ejpam-3673	48	3	additive	additive	VERB
ejpam-3673	48	4	and	and	CCONJ
ejpam-3673	48	5	triangulated	triangulate	VERB
ejpam-3673	48	6	categories	category	NOUN
ejpam-3673	48	7	in	in	ADP
ejpam-3673	48	8	this	this	DET
ejpam-3673	48	9	section	section	NOUN
ejpam-3673	48	10	we	we	PRON
ejpam-3673	48	11	review	review	VERB
ejpam-3673	48	12	the	the	DET
ejpam-3673	48	13	definition	definition	NOUN
ejpam-3673	48	14	of	of	ADP
ejpam-3673	48	15	additive	additive	ADJ
ejpam-3673	48	16	category	category	NOUN
ejpam-3673	48	17	and	and	CCONJ
ejpam-3673	48	18	triangulated	triangulate	VERB
ejpam-3673	48	19	category	category	NOUN
ejpam-3673	48	20	.	.	PUNCT
ejpam-3673	49	1	definition	definition	NOUN
ejpam-3673	49	2	1	1	NUM
ejpam-3673	49	3	(	(	PUNCT
ejpam-3673	49	4	[	[	X
ejpam-3673	49	5	14	14	NUM
ejpam-3673	49	6	]	]	NUM
ejpam-3673	49	7	)	)	PUNCT
ejpam-3673	49	8	.	.	PUNCT
ejpam-3673	50	1	a	a	DET
ejpam-3673	50	2	category	category	NOUN
ejpam-3673	50	3	a	a	PRON
ejpam-3673	50	4	is	be	AUX
ejpam-3673	50	5	called	call	VERB
ejpam-3673	50	6	an	an	DET
ejpam-3673	50	7	additive	additive	ADJ
ejpam-3673	50	8	category	category	NOUN
ejpam-3673	50	9	if	if	SCONJ
ejpam-3673	50	10	the	the	DET
ejpam-3673	50	11	following	follow	VERB
ejpam-3673	50	12	conditions	condition	NOUN
ejpam-3673	50	13	hold	hold	VERB
ejpam-3673	50	14	:	:	PUNCT
ejpam-3673	50	15	a1	a1	NOUN
ejpam-3673	50	16	for	for	ADP
ejpam-3673	50	17	every	every	DET
ejpam-3673	50	18	pair	pair	NOUN
ejpam-3673	50	19	of	of	ADP
ejpam-3673	50	20	objects	object	NOUN
ejpam-3673	50	21	x	x	PRON
ejpam-3673	50	22	,	,	PUNCT
ejpam-3673	50	23	y	y	PROPN
ejpam-3673	50	24	the	the	DET
ejpam-3673	50	25	set	set	NOUN
ejpam-3673	50	26	of	of	ADP
ejpam-3673	50	27	morphisms	morphisms	PROPN
ejpam-3673	50	28	homa	homa	NOUN
ejpam-3673	50	29	(	(	PUNCT
ejpam-3673	50	30	x	x	X
ejpam-3673	50	31	,	,	PUNCT
ejpam-3673	50	32	y	y	PROPN
ejpam-3673	50	33	)	)	PUNCT
ejpam-3673	50	34	is	be	AUX
ejpam-3673	50	35	an	an	DET
ejpam-3673	50	36	abelian	abelian	ADJ
ejpam-3673	50	37	group	group	NOUN
ejpam-3673	50	38	and	and	CCONJ
ejpam-3673	50	39	the	the	DET
ejpam-3673	50	40	composition	composition	NOUN
ejpam-3673	50	41	of	of	ADP
ejpam-3673	50	42	following	follow	VERB
ejpam-3673	50	43	morphisms	morphism	NOUN
ejpam-3673	50	44	is	be	AUX
ejpam-3673	50	45	bilinear	bilinear	ADJ
ejpam-3673	50	46	over	over	ADP
ejpam-3673	50	47	the	the	DET
ejpam-3673	50	48	integers	integer	NOUN
ejpam-3673	50	49	.	.	PUNCT
ejpam-3673	51	1	homa	homa	NOUN
ejpam-3673	51	2	(	(	PUNCT
ejpam-3673	51	3	y	y	PROPN
ejpam-3673	51	4	,	,	PUNCT
ejpam-3673	51	5	z)×homa	z)×homa	X
ejpam-3673	51	6	(	(	PUNCT
ejpam-3673	51	7	x	x	X
ejpam-3673	51	8	,	,	PUNCT
ejpam-3673	51	9	y	y	PROPN
ejpam-3673	51	10	)	)	PUNCT
ejpam-3673	51	11	→	→	SYM
ejpam-3673	51	12	homa	homa	NOUN
ejpam-3673	51	13	(	(	PUNCT
ejpam-3673	51	14	x	x	X
ejpam-3673	51	15	,	,	PUNCT
ejpam-3673	51	16	z	z	NOUN
ejpam-3673	51	17	)	)	PUNCT
ejpam-3673	51	18	(	(	PUNCT
ejpam-3673	51	19	1	1	X
ejpam-3673	51	20	)	)	PUNCT
ejpam-3673	52	1	g.	g.	PROPN
ejpam-3673	52	2	elfiyanti	elfiyanti	PROPN
ejpam-3673	52	3	et	et	PROPN
ejpam-3673	52	4	al	al	PROPN
ejpam-3673	52	5	.	.	PUNCT
ejpam-3673	52	6	/	/	SYM
ejpam-3673	52	7	eur	eur	PROPN
ejpam-3673	52	8	.	.	PUNCT
ejpam-3673	53	1	j.	j.	PROPN
ejpam-3673	53	2	pure	pure	PROPN
ejpam-3673	53	3	appl	appl	PROPN
ejpam-3673	53	4	.	.	PROPN
ejpam-3673	53	5	math	math	PROPN
ejpam-3673	53	6	,	,	PUNCT
ejpam-3673	53	7	13	13	NUM
ejpam-3673	53	8	(	(	PUNCT
ejpam-3673	53	9	2	2	NUM
ejpam-3673	53	10	)	)	PUNCT
ejpam-3673	53	11	(	(	PUNCT
ejpam-3673	53	12	2020	2020	NUM
ejpam-3673	53	13	)	)	PUNCT
ejpam-3673	53	14	,	,	PUNCT
ejpam-3673	53	15	323	323	NUM
ejpam-3673	53	16	-	-	SYM
ejpam-3673	53	17	345	345	NUM
ejpam-3673	53	18	325	325	NUM
ejpam-3673	53	19	a2	a2	NOUN
ejpam-3673	53	20	a	a	PRON
ejpam-3673	53	21	contains	contain	VERB
ejpam-3673	53	22	a	a	DET
ejpam-3673	53	23	zero	zero	NUM
ejpam-3673	53	24	object	object	NOUN
ejpam-3673	53	25	0	0	NUM
ejpam-3673	54	1	(	(	PUNCT
ejpam-3673	54	2	i.e	i.e	X
ejpam-3673	54	3	for	for	ADP
ejpam-3673	54	4	every	every	DET
ejpam-3673	54	5	objects	object	NOUN
ejpam-3673	54	6	x	x	PUNCT
ejpam-3673	54	7	in	in	ADP
ejpam-3673	54	8	a	a	DET
ejpam-3673	54	9	each	each	DET
ejpam-3673	54	10	morphism	morphism	NOUN
ejpam-3673	54	11	set	set	VERB
ejpam-3673	54	12	homa	homa	NOUN
ejpam-3673	54	13	(	(	PUNCT
ejpam-3673	54	14	x	x	X
ejpam-3673	54	15	,	,	PUNCT
ejpam-3673	54	16	0	0	NUM
ejpam-3673	54	17	)	)	PUNCT
ejpam-3673	54	18	and	and	CCONJ
ejpam-3673	54	19	homa	homa	PROPN
ejpam-3673	54	20	(	(	PUNCT
ejpam-3673	54	21	0	0	NUM
ejpam-3673	54	22	,	,	PUNCT
ejpam-3673	54	23	x	x	X
ejpam-3673	54	24	)	)	PUNCT
ejpam-3673	54	25	has	have	VERB
ejpam-3673	54	26	precisely	precisely	ADV
ejpam-3673	54	27	one	one	NUM
ejpam-3673	54	28	element	element	NOUN
ejpam-3673	54	29	)	)	PUNCT
ejpam-3673	54	30	.	.	PUNCT
ejpam-3673	55	1	a3	a3	VERB
ejpam-3673	55	2	for	for	ADP
ejpam-3673	55	3	every	every	DET
ejpam-3673	55	4	pair	pair	NOUN
ejpam-3673	55	5	of	of	ADP
ejpam-3673	55	6	objects	object	NOUN
ejpam-3673	55	7	x	x	PRON
ejpam-3673	55	8	,	,	PUNCT
ejpam-3673	55	9	y	y	PROPN
ejpam-3673	55	10	in	in	ADP
ejpam-3673	55	11	a	a	DET
ejpam-3673	55	12	there	there	NOUN
ejpam-3673	55	13	exists	exist	VERB
ejpam-3673	55	14	a	a	DET
ejpam-3673	55	15	coproduct	coproduct	NOUN
ejpam-3673	55	16	x	x	X
ejpam-3673	55	17	⊕	⊕	PROPN
ejpam-3673	55	18	y	y	PROPN
ejpam-3673	55	19	.	.	PUNCT
ejpam-3673	56	1	a	a	DET
ejpam-3673	56	2	category	category	NOUN
ejpam-3673	56	3	satisfying	satisfying	NOUN
ejpam-3673	56	4	(	(	PUNCT
ejpam-3673	56	5	a1	a1	NOUN
ejpam-3673	56	6	)	)	PUNCT
ejpam-3673	56	7	and	and	CCONJ
ejpam-3673	56	8	(	(	PUNCT
ejpam-3673	56	9	a2	a2	PROPN
ejpam-3673	56	10	)	)	PUNCT
ejpam-3673	56	11	is	be	AUX
ejpam-3673	56	12	called	call	VERB
ejpam-3673	56	13	a	a	DET
ejpam-3673	56	14	preadditive	preadditive	ADJ
ejpam-3673	56	15	category	category	NOUN
ejpam-3673	56	16	.	.	PUNCT
ejpam-3673	57	1	if	if	SCONJ
ejpam-3673	57	2	a	a	PRON
ejpam-3673	57	3	is	be	AUX
ejpam-3673	57	4	a	a	DET
ejpam-3673	57	5	preadditive	preadditive	ADJ
ejpam-3673	57	6	category	category	NOUN
ejpam-3673	57	7	,	,	PUNCT
ejpam-3673	57	8	then	then	ADV
ejpam-3673	57	9	by	by	ADP
ejpam-3673	57	10	using	use	VERB
ejpam-3673	57	11	the	the	DET
ejpam-3673	57	12	following	follow	VERB
ejpam-3673	57	13	proposition	proposition	NOUN
ejpam-3673	57	14	we	we	PRON
ejpam-3673	57	15	can	can	AUX
ejpam-3673	57	16	replace	replace	VERB
ejpam-3673	57	17	the	the	DET
ejpam-3673	57	18	condition	condition	NOUN
ejpam-3673	57	19	a3	a3	NOUN
ejpam-3673	57	20	above	above	ADP
ejpam-3673	57	21	with	with	ADP
ejpam-3673	57	22	the	the	DET
ejpam-3673	57	23	existence	existence	NOUN
ejpam-3673	57	24	of	of	ADP
ejpam-3673	57	25	a	a	DET
ejpam-3673	57	26	biproduct	biproduct	NOUN
ejpam-3673	57	27	in	in	ADP
ejpam-3673	57	28	a.	a.	NOUN
ejpam-3673	57	29	proposition	proposition	NOUN
ejpam-3673	57	30	1	1	NUM
ejpam-3673	57	31	(	(	PUNCT
ejpam-3673	57	32	[	[	X
ejpam-3673	57	33	4	4	NUM
ejpam-3673	57	34	]	]	NUM
ejpam-3673	57	35	)	)	PUNCT
ejpam-3673	57	36	.	.	PUNCT
ejpam-3673	58	1	given	give	VERB
ejpam-3673	58	2	two	two	NUM
ejpam-3673	58	3	objects	object	NOUN
ejpam-3673	58	4	a	a	DET
ejpam-3673	58	5	,	,	PUNCT
ejpam-3673	58	6	b	b	NOUN
ejpam-3673	58	7	of	of	ADP
ejpam-3673	58	8	a	a	DET
ejpam-3673	58	9	preadditive	preadditive	ADJ
ejpam-3673	58	10	category	category	NOUN
ejpam-3673	58	11	c	c	NOUN
ejpam-3673	58	12	,	,	PUNCT
ejpam-3673	58	13	the	the	DET
ejpam-3673	58	14	following	follow	VERB
ejpam-3673	58	15	conditions	condition	NOUN
ejpam-3673	58	16	are	be	AUX
ejpam-3673	58	17	equivalent	equivalent	ADJ
ejpam-3673	58	18	:	:	PUNCT
ejpam-3673	58	19	(	(	PUNCT
ejpam-3673	58	20	i	i	NOUN
ejpam-3673	58	21	)	)	PUNCT
ejpam-3673	58	22	the	the	DET
ejpam-3673	58	23	product	product	NOUN
ejpam-3673	58	24	(	(	PUNCT
ejpam-3673	58	25	p	p	X
ejpam-3673	58	26	,	,	PUNCT
ejpam-3673	58	27	pa	pa	PROPN
ejpam-3673	58	28	,	,	PUNCT
ejpam-3673	58	29	pb	pb	PROPN
ejpam-3673	58	30	)	)	PUNCT
ejpam-3673	58	31	of	of	ADP
ejpam-3673	58	32	a	a	DET
ejpam-3673	58	33	,	,	PUNCT
ejpam-3673	58	34	b	b	NOUN
ejpam-3673	58	35	exists	exist	NOUN
ejpam-3673	58	36	;	;	PUNCT
ejpam-3673	58	37	(	(	PUNCT
ejpam-3673	58	38	ii	ii	X
ejpam-3673	58	39	)	)	PUNCT
ejpam-3673	58	40	the	the	DET
ejpam-3673	58	41	coproduct	coproduct	NOUN
ejpam-3673	58	42	(	(	PUNCT
ejpam-3673	58	43	p	p	X
ejpam-3673	58	44	,	,	PUNCT
ejpam-3673	58	45	sa	sa	PROPN
ejpam-3673	58	46	,	,	PUNCT
ejpam-3673	58	47	sb	sb	PROPN
ejpam-3673	58	48	)	)	PUNCT
ejpam-3673	58	49	of	of	ADP
ejpam-3673	58	50	a	a	DET
ejpam-3673	58	51	,	,	PUNCT
ejpam-3673	58	52	b	b	NOUN
ejpam-3673	58	53	exists	exist	NOUN
ejpam-3673	58	54	;	;	PUNCT
ejpam-3673	58	55	(	(	PUNCT
ejpam-3673	58	56	iii	iii	X
ejpam-3673	58	57	)	)	PUNCT
ejpam-3673	58	58	the	the	DET
ejpam-3673	58	59	biproduct	biproduct	NOUN
ejpam-3673	58	60	(	(	PUNCT
ejpam-3673	58	61	p	p	NOUN
ejpam-3673	58	62	,	,	PUNCT
ejpam-3673	58	63	pa	pa	PROPN
ejpam-3673	58	64	,	,	PUNCT
ejpam-3673	58	65	pb	pb	PROPN
ejpam-3673	58	66	,	,	PUNCT
ejpam-3673	58	67	sa	sa	PROPN
ejpam-3673	58	68	,	,	PUNCT
ejpam-3673	58	69	sb	sb	PROPN
ejpam-3673	58	70	)	)	PUNCT
ejpam-3673	58	71	of	of	ADP
ejpam-3673	58	72	a	a	DET
ejpam-3673	58	73	,	,	PUNCT
ejpam-3673	58	74	b	b	NOUN
ejpam-3673	58	75	exists	exist	NOUN
ejpam-3673	58	76	,	,	PUNCT
ejpam-3673	58	77	i.e.	i.e.	X
ejpam-3673	58	78	there	there	PRON
ejpam-3673	58	79	exists	exist	VERB
ejpam-3673	58	80	an	an	DET
ejpam-3673	58	81	object	object	NOUN
ejpam-3673	58	82	p	p	NOUN
ejpam-3673	58	83	and	and	CCONJ
ejpam-3673	58	84	morphisms	morphism	NOUN
ejpam-3673	58	85	pa	pa	NOUN
ejpam-3673	58	86	:	:	PUNCT
ejpam-3673	58	87	p	p	X
ejpam-3673	58	88	−→	−→	NOUN
ejpam-3673	58	89	a	a	PRON
ejpam-3673	58	90	,	,	PUNCT
ejpam-3673	58	91	pb	pb	X
ejpam-3673	58	92	:	:	PUNCT
ejpam-3673	58	93	p	p	X
ejpam-3673	58	94	−→	−→	PROPN
ejpam-3673	58	95	b	b	PROPN
ejpam-3673	58	96	,	,	PUNCT
ejpam-3673	58	97	sa	sa	PROPN
ejpam-3673	58	98	:	:	PUNCT
ejpam-3673	58	99	a	a	DET
ejpam-3673	58	100	−→	−→	NOUN
ejpam-3673	58	101	p	p	X
ejpam-3673	58	102	,	,	PUNCT
ejpam-3673	58	103	sb	sb	PROPN
ejpam-3673	58	104	:	:	PUNCT
ejpam-3673	58	105	b	b	X
ejpam-3673	58	106	−→	−→	NOUN
ejpam-3673	58	107	p	p	X
ejpam-3673	58	108	(	(	PUNCT
ejpam-3673	58	109	2	2	NUM
ejpam-3673	58	110	)	)	PUNCT
ejpam-3673	58	111	with	with	ADP
ejpam-3673	58	112	the	the	DET
ejpam-3673	58	113	properties	property	NOUN
ejpam-3673	58	114	pasa	pasa	NOUN
ejpam-3673	58	115	=	=	SYM
ejpam-3673	58	116	1	1	NUM
ejpam-3673	58	117	,	,	PUNCT
ejpam-3673	58	118	pbsb	pbsb	NOUN
ejpam-3673	58	119	=	=	SYM
ejpam-3673	58	120	1	1	NUM
ejpam-3673	58	121	,	,	PUNCT
ejpam-3673	58	122	pasb	pasb	NOUN
ejpam-3673	58	123	=	=	SYM
ejpam-3673	58	124	0	0	NUM
ejpam-3673	58	125	,	,	PUNCT
ejpam-3673	58	126	pbsa	pbsa	NOUN
ejpam-3673	58	127	=	=	SYM
ejpam-3673	58	128	0	0	NUM
ejpam-3673	58	129	(	(	PUNCT
ejpam-3673	58	130	3	3	NUM
ejpam-3673	58	131	)	)	PUNCT
ejpam-3673	58	132	sapa	sapa	NOUN
ejpam-3673	58	133	+	+	CCONJ
ejpam-3673	58	134	sapb	sapb	NOUN
ejpam-3673	58	135	=	=	SYM
ejpam-3673	58	136	1	1	NUM
ejpam-3673	58	137	(	(	PUNCT
ejpam-3673	58	138	4	4	NUM
ejpam-3673	58	139	)	)	PUNCT
ejpam-3673	58	140	moreover	moreover	ADV
ejpam-3673	58	141	,	,	PUNCT
ejpam-3673	58	142	under	under	ADP
ejpam-3673	58	143	these	these	DET
ejpam-3673	58	144	conditions	condition	NOUN
ejpam-3673	59	1	sa	sa	PUNCT
ejpam-3673	59	2	=	=	PUNCT
ejpam-3673	59	3	ker	ker	PROPN
ejpam-3673	60	1	pb	pb	ADP
ejpam-3673	60	2	,	,	PUNCT
ejpam-3673	60	3	sb	sb	PROPN
ejpam-3673	61	1	=	=	PROPN
ejpam-3673	61	2	ker	ker	PROPN
ejpam-3673	61	3	pa	pa	PROPN
ejpam-3673	61	4	,	,	PUNCT
ejpam-3673	61	5	pa	pa	PROPN
ejpam-3673	61	6	=	=	PROPN
ejpam-3673	61	7	co	co	PROPN
ejpam-3673	61	8	ker	ker	PROPN
ejpam-3673	61	9	sb	sb	PROPN
ejpam-3673	61	10	,	,	PUNCT
ejpam-3673	61	11	pb	pb	X
ejpam-3673	61	12	=	=	PUNCT
ejpam-3673	61	13	co	co	PROPN
ejpam-3673	61	14	ker	ker	PROPN
ejpam-3673	61	15	sa	sa	PROPN
ejpam-3673	61	16	.	.	PUNCT
ejpam-3673	62	1	let	let	VERB
ejpam-3673	62	2	t	t	NOUN
ejpam-3673	62	3	be	be	AUX
ejpam-3673	62	4	an	an	DET
ejpam-3673	62	5	additive	additive	ADJ
ejpam-3673	62	6	category	category	NOUN
ejpam-3673	62	7	and	and	CCONJ
ejpam-3673	62	8	σ	σ	NOUN
ejpam-3673	62	9	:	:	PUNCT
ejpam-3673	63	1	t	t	X
ejpam-3673	63	2	−→	−→	NOUN
ejpam-3673	63	3	t	t	PROPN
ejpam-3673	63	4	be	be	AUX
ejpam-3673	63	5	an	an	DET
ejpam-3673	63	6	additive	additive	ADJ
ejpam-3673	63	7	automorphism	automorphism	NOUN
ejpam-3673	63	8	.	.	PUNCT
ejpam-3673	64	1	a	a	DET
ejpam-3673	64	2	triangle	triangle	NOUN
ejpam-3673	64	3	in	in	ADP
ejpam-3673	64	4	t	t	PROPN
ejpam-3673	64	5	is	be	AUX
ejpam-3673	64	6	a	a	DET
ejpam-3673	64	7	sequence	sequence	NOUN
ejpam-3673	64	8	of	of	ADP
ejpam-3673	64	9	objects	object	NOUN
ejpam-3673	64	10	and	and	CCONJ
ejpam-3673	64	11	morphism	morphism	NOUN
ejpam-3673	64	12	in	in	ADP
ejpam-3673	64	13	t	t	PROPN
ejpam-3673	64	14	of	of	ADP
ejpam-3673	64	15	the	the	DET
ejpam-3673	64	16	form	form	NOUN
ejpam-3673	64	17	x	x	PUNCT
ejpam-3673	64	18	y	y	PROPN
ejpam-3673	64	19	z	z	PROPN
ejpam-3673	64	20	σxu	σxu	PROPN
ejpam-3673	64	21	v	v	ADP
ejpam-3673	64	22	w	w	NOUN
ejpam-3673	64	23	(	(	PUNCT
ejpam-3673	64	24	5	5	NUM
ejpam-3673	64	25	)	)	PUNCT
ejpam-3673	64	26	a	a	DET
ejpam-3673	64	27	morphism	morphism	NOUN
ejpam-3673	64	28	of	of	ADP
ejpam-3673	64	29	triangles	triangle	NOUN
ejpam-3673	64	30	is	be	AUX
ejpam-3673	64	31	a	a	DET
ejpam-3673	64	32	triple	triple	ADJ
ejpam-3673	64	33	(	(	PUNCT
ejpam-3673	64	34	f	f	X
ejpam-3673	64	35	,	,	PUNCT
ejpam-3673	64	36	g	g	PROPN
ejpam-3673	64	37	,	,	PUNCT
ejpam-3673	64	38	h	h	NOUN
ejpam-3673	64	39	)	)	PUNCT
ejpam-3673	64	40	of	of	ADP
ejpam-3673	64	41	morphisms	morphism	NOUN
ejpam-3673	64	42	in	in	ADP
ejpam-3673	64	43	t	t	PROPN
ejpam-3673	64	44	such	such	ADJ
ejpam-3673	64	45	that	that	SCONJ
ejpam-3673	64	46	the	the	DET
ejpam-3673	64	47	following	follow	VERB
ejpam-3673	64	48	diagram	diagram	NOUN
ejpam-3673	64	49	is	be	AUX
ejpam-3673	64	50	commutative	commutative	ADJ
ejpam-3673	64	51	in	in	ADP
ejpam-3673	64	52	t	t	PROPN
ejpam-3673	64	53	.	.	PUNCT
ejpam-3673	65	1	x	x	PUNCT
ejpam-3673	66	1	y	y	PROPN
ejpam-3673	66	2	z	z	NOUN
ejpam-3673	66	3	σx	σx	NOUN
ejpam-3673	66	4	x	x	SYM
ejpam-3673	66	5	′	′	NUM
ejpam-3673	67	1	y	y	NOUN
ejpam-3673	67	2	′	′	NUM
ejpam-3673	68	1	z	z	NOUN
ejpam-3673	68	2	′	′	NUM
ejpam-3673	69	1	σx	σx	NOUN
ejpam-3673	69	2	′	′	NUM
ejpam-3673	69	3	u	u	NOUN
ejpam-3673	69	4	f	f	PROPN
ejpam-3673	69	5	v	v	ADP
ejpam-3673	69	6	g	g	PROPN
ejpam-3673	69	7	w	w	PROPN
ejpam-3673	69	8	h	h	NOUN
ejpam-3673	69	9	σf	σf	ADP
ejpam-3673	69	10	u′	u′	PROPN
ejpam-3673	69	11	v′	v′	PROPN
ejpam-3673	69	12	w′	w′	PROPN
ejpam-3673	69	13	(	(	PUNCT
ejpam-3673	69	14	6	6	NUM
ejpam-3673	69	15	)	)	PUNCT
ejpam-3673	69	16	the	the	DET
ejpam-3673	69	17	triple	triple	ADJ
ejpam-3673	69	18	(	(	PUNCT
ejpam-3673	69	19	f	f	X
ejpam-3673	69	20	,	,	PUNCT
ejpam-3673	69	21	g	g	PROPN
ejpam-3673	69	22	,	,	PUNCT
ejpam-3673	69	23	h	h	NOUN
ejpam-3673	69	24	)	)	PUNCT
ejpam-3673	69	25	is	be	AUX
ejpam-3673	69	26	called	call	VERB
ejpam-3673	69	27	an	an	DET
ejpam-3673	69	28	isomorphism	isomorphism	NOUN
ejpam-3673	69	29	of	of	ADP
ejpam-3673	69	30	triangles	triangle	NOUN
ejpam-3673	69	31	if	if	SCONJ
ejpam-3673	69	32	the	the	DET
ejpam-3673	69	33	morphisms	morphism	NOUN
ejpam-3673	69	34	f	f	NOUN
ejpam-3673	69	35	,	,	PUNCT
ejpam-3673	69	36	g	g	PROPN
ejpam-3673	69	37	and	and	CCONJ
ejpam-3673	69	38	h	h	PROPN
ejpam-3673	69	39	are	be	AUX
ejpam-3673	69	40	isomorphisms	isomorphism	NOUN
ejpam-3673	69	41	in	in	ADP
ejpam-3673	69	42	t	t	PROPN
ejpam-3673	69	43	.	.	PUNCT
ejpam-3673	70	1	definition	definition	NOUN
ejpam-3673	70	2	2	2	NUM
ejpam-3673	70	3	(	(	PUNCT
ejpam-3673	70	4	[	[	X
ejpam-3673	70	5	14	14	NUM
ejpam-3673	70	6	]	]	NUM
ejpam-3673	70	7	)	)	PUNCT
ejpam-3673	70	8	.	.	PUNCT
ejpam-3673	71	1	a	a	DET
ejpam-3673	71	2	triangulated	triangulate	VERB
ejpam-3673	71	3	category	category	NOUN
ejpam-3673	71	4	is	be	AUX
ejpam-3673	71	5	an	an	DET
ejpam-3673	71	6	additive	additive	ADJ
ejpam-3673	71	7	category	category	NOUN
ejpam-3673	71	8	t	t	NOUN
ejpam-3673	71	9	together	together	ADV
ejpam-3673	71	10	with	with	ADP
ejpam-3673	71	11	an	an	DET
ejpam-3673	71	12	additive	additive	ADJ
ejpam-3673	71	13	automorphism	automorphism	NOUN
ejpam-3673	71	14	σ	σ	PROPN
ejpam-3673	71	15	,	,	PUNCT
ejpam-3673	71	16	the	the	DET
ejpam-3673	71	17	translation	translation	NOUN
ejpam-3673	71	18	or	or	CCONJ
ejpam-3673	71	19	shift	shift	NOUN
ejpam-3673	71	20	functor	functor	NOUN
ejpam-3673	71	21	,	,	PUNCT
ejpam-3673	71	22	and	and	CCONJ
ejpam-3673	71	23	a	a	DET
ejpam-3673	71	24	colllection	colllection	NOUN
ejpam-3673	71	25	of	of	ADP
ejpam-3673	71	26	distinguished	distinguished	ADJ
ejpam-3673	71	27	triangles	triangle	NOUN
ejpam-3673	71	28	satisfying	satisfy	VERB
ejpam-3673	71	29	the	the	DET
ejpam-3673	71	30	following	follow	VERB
ejpam-3673	71	31	axioms	axiom	NOUN
ejpam-3673	71	32	:	:	PUNCT
ejpam-3673	71	33	g.	g.	PROPN
ejpam-3673	71	34	elfiyanti	elfiyanti	PROPN
ejpam-3673	71	35	et	et	PROPN
ejpam-3673	71	36	al	al	PROPN
ejpam-3673	71	37	.	.	PUNCT
ejpam-3673	71	38	/	/	SYM
ejpam-3673	71	39	eur	eur	PROPN
ejpam-3673	71	40	.	.	PUNCT
ejpam-3673	72	1	j.	j.	PROPN
ejpam-3673	72	2	pure	pure	PROPN
ejpam-3673	72	3	appl	appl	PROPN
ejpam-3673	72	4	.	.	PROPN
ejpam-3673	72	5	math	math	PROPN
ejpam-3673	72	6	,	,	PUNCT
ejpam-3673	72	7	13	13	NUM
ejpam-3673	72	8	(	(	PUNCT
ejpam-3673	72	9	2	2	NUM
ejpam-3673	72	10	)	)	PUNCT
ejpam-3673	72	11	(	(	PUNCT
ejpam-3673	72	12	2020	2020	NUM
ejpam-3673	72	13	)	)	PUNCT
ejpam-3673	72	14	,	,	PUNCT
ejpam-3673	72	15	323	323	NUM
ejpam-3673	72	16	-	-	SYM
ejpam-3673	72	17	345	345	NUM
ejpam-3673	72	18	326	326	NUM
ejpam-3673	72	19	tr0	tr0	NOUN
ejpam-3673	72	20	any	any	DET
ejpam-3673	72	21	triangle	triangle	NOUN
ejpam-3673	72	22	isomorphic	isomorphic	ADJ
ejpam-3673	72	23	to	to	ADP
ejpam-3673	72	24	a	a	DET
ejpam-3673	72	25	distinguised	distinguise	VERB
ejpam-3673	72	26	triangle	triangle	NOUN
ejpam-3673	72	27	is	be	AUX
ejpam-3673	72	28	again	again	ADV
ejpam-3673	72	29	a	a	DET
ejpam-3673	72	30	distinguised	distinguise	VERB
ejpam-3673	72	31	triangle	triangle	NOUN
ejpam-3673	72	32	.	.	PUNCT
ejpam-3673	73	1	tr1	tr1	NOUN
ejpam-3673	73	2	for	for	ADP
ejpam-3673	73	3	every	every	DET
ejpam-3673	73	4	object	object	NOUN
ejpam-3673	73	5	x	x	PUNCT
ejpam-3673	73	6	in	in	ADP
ejpam-3673	73	7	t	t	PROPN
ejpam-3673	73	8	,	,	PUNCT
ejpam-3673	73	9	the	the	DET
ejpam-3673	73	10	triangle	triangle	NOUN
ejpam-3673	73	11	x	x	PUNCT
ejpam-3673	73	12	x	x	SYM
ejpam-3673	73	13	0	0	NUM
ejpam-3673	73	14	σx1	σx1	NOUN
ejpam-3673	73	15	(	(	PUNCT
ejpam-3673	73	16	7	7	NUM
ejpam-3673	73	17	)	)	PUNCT
ejpam-3673	73	18	is	be	AUX
ejpam-3673	73	19	a	a	DET
ejpam-3673	73	20	distinguised	distinguise	VERB
ejpam-3673	73	21	triangle	triangle	NOUN
ejpam-3673	73	22	.	.	PUNCT
ejpam-3673	74	1	tr2	tr2	NOUN
ejpam-3673	74	2	for	for	ADP
ejpam-3673	74	3	every	every	DET
ejpam-3673	74	4	morphism	morphism	NOUN
ejpam-3673	74	5	f	f	NOUN
ejpam-3673	74	6	:	:	PUNCT
ejpam-3673	74	7	x	x	PUNCT
ejpam-3673	74	8	−→	−→	NOUN
ejpam-3673	74	9	y	y	PROPN
ejpam-3673	74	10	in	in	ADP
ejpam-3673	74	11	t	t	PROPN
ejpam-3673	74	12	there	there	PRON
ejpam-3673	74	13	is	be	VERB
ejpam-3673	74	14	a	a	DET
ejpam-3673	74	15	distinguised	distinguise	VERB
ejpam-3673	74	16	triangle	triangle	NOUN
ejpam-3673	74	17	of	of	ADP
ejpam-3673	74	18	the	the	DET
ejpam-3673	74	19	form	form	NOUN
ejpam-3673	74	20	x	x	X
ejpam-3673	75	1	y	y	PROPN
ejpam-3673	75	2	z	z	PROPN
ejpam-3673	75	3	σx	σx	NOUN
ejpam-3673	75	4	f	f	PROPN
ejpam-3673	75	5	(	(	PUNCT
ejpam-3673	75	6	8)	8)	NUM
ejpam-3673	75	7	tr3	tr3	NOUN
ejpam-3673	75	8	if	if	SCONJ
ejpam-3673	75	9	x	x	PROPN
ejpam-3673	75	10	y	y	PROPN
ejpam-3673	75	11	m(α(f	m(α(f	PROPN
ejpam-3673	75	12	)	)	PUNCT
ejpam-3673	75	13	)	)	PUNCT
ejpam-3673	76	1	σx	σx	ADP
ejpam-3673	76	2	f	f	PROPN
ejpam-3673	76	3	α(f	α(f	PROPN
ejpam-3673	76	4	)	)	PUNCT
ejpam-3673	76	5	β(f	β(f	NUM
ejpam-3673	76	6	)	)	PUNCT
ejpam-3673	76	7	(	(	PUNCT
ejpam-3673	76	8	9	9	X
ejpam-3673	76	9	)	)	PUNCT
ejpam-3673	76	10	is	be	AUX
ejpam-3673	76	11	a	a	DET
ejpam-3673	76	12	distinguised	distinguise	VERB
ejpam-3673	76	13	triangle	triangle	NOUN
ejpam-3673	76	14	then	then	ADV
ejpam-3673	76	15	the	the	DET
ejpam-3673	76	16	following	follow	VERB
ejpam-3673	76	17	rotated	rotate	VERB
ejpam-3673	76	18	triangle	triangle	NOUN
ejpam-3673	76	19	is	be	AUX
ejpam-3673	76	20	also	also	ADV
ejpam-3673	76	21	a	a	DET
ejpam-3673	76	22	distinguised	distinguise	VERB
ejpam-3673	76	23	triangle	triangle	NOUN
ejpam-3673	76	24	.	.	PUNCT
ejpam-3673	77	1	y	y	PROPN
ejpam-3673	77	2	m(α(f	m(α(f	PROPN
ejpam-3673	77	3	)	)	PUNCT
ejpam-3673	77	4	)	)	PUNCT
ejpam-3673	78	1	σx	σx	ADP
ejpam-3673	78	2	σy	σy	PROPN
ejpam-3673	78	3	α(f	α(f	PROPN
ejpam-3673	78	4	)	)	PUNCT
ejpam-3673	78	5	β(f	β(f	NUM
ejpam-3673	78	6	)	)	PUNCT
ejpam-3673	78	7	−σf	−σf	PROPN
ejpam-3673	78	8	(	(	PUNCT
ejpam-3673	78	9	10	10	NUM
ejpam-3673	78	10	)	)	PUNCT
ejpam-3673	78	11	tr4	tr4	NOUN
ejpam-3673	78	12	given	give	VERB
ejpam-3673	78	13	distinguished	distinguished	ADJ
ejpam-3673	78	14	triangles	triangle	NOUN
ejpam-3673	78	15	x	x	X
ejpam-3673	78	16	y	y	PROPN
ejpam-3673	78	17	z	z	PROPN
ejpam-3673	78	18	σxu	σxu	PROPN
ejpam-3673	78	19	v	v	ADP
ejpam-3673	78	20	w	w	NOUN
ejpam-3673	78	21	and	and	CCONJ
ejpam-3673	78	22	x	x	SYM
ejpam-3673	78	23	′	′	NUM
ejpam-3673	79	1	y	y	NOUN
ejpam-3673	79	2	′	′	NUM
ejpam-3673	80	1	z	z	NOUN
ejpam-3673	80	2	′	′	NUM
ejpam-3673	81	1	σx	σx	ADP
ejpam-3673	81	2	′u′	′u′	PROPN
ejpam-3673	81	3	v′	v′	PROPN
ejpam-3673	81	4	w′	w′	PROPN
ejpam-3673	81	5	then	then	ADV
ejpam-3673	81	6	each	each	DET
ejpam-3673	81	7	commutative	commutative	ADJ
ejpam-3673	81	8	diagram	diagram	NOUN
ejpam-3673	81	9	x	x	X
ejpam-3673	81	10	y	y	PROPN
ejpam-3673	81	11	z	z	PROPN
ejpam-3673	81	12	σx	σx	NOUN
ejpam-3673	81	13	x	x	SYM
ejpam-3673	81	14	′	′	NUM
ejpam-3673	82	1	y	y	NOUN
ejpam-3673	82	2	′	′	NUM
ejpam-3673	83	1	z	z	NOUN
ejpam-3673	83	2	′	′	NUM
ejpam-3673	84	1	σx	σx	NOUN
ejpam-3673	84	2	′	′	NUM
ejpam-3673	84	3	u	u	NOUN
ejpam-3673	84	4	f	f	PROPN
ejpam-3673	84	5	v	v	ADP
ejpam-3673	84	6	g	g	PROPN
ejpam-3673	84	7	w	w	PROPN
ejpam-3673	84	8	σf	σf	ADP
ejpam-3673	84	9	u′	u′	PROPN
ejpam-3673	84	10	v′	v′	PROPN
ejpam-3673	84	11	w′	w′	NOUN
ejpam-3673	84	12	(	(	PUNCT
ejpam-3673	84	13	11	11	NUM
ejpam-3673	84	14	)	)	PUNCT
ejpam-3673	84	15	can	can	AUX
ejpam-3673	84	16	be	be	AUX
ejpam-3673	84	17	completed	complete	VERB
ejpam-3673	84	18	to	to	ADP
ejpam-3673	84	19	a	a	DET
ejpam-3673	84	20	morphism	morphism	NOUN
ejpam-3673	84	21	of	of	ADP
ejpam-3673	84	22	triangles	triangle	NOUN
ejpam-3673	84	23	(	(	PUNCT
ejpam-3673	84	24	but	but	CCONJ
ejpam-3673	84	25	not	not	PART
ejpam-3673	84	26	necessarily	necessarily	ADV
ejpam-3673	84	27	uniquely	uniquely	ADV
ejpam-3673	84	28	)	)	PUNCT
ejpam-3673	84	29	.	.	PUNCT
ejpam-3673	85	1	tr5	tr5	PROPN
ejpam-3673	85	2	(	(	PUNCT
ejpam-3673	85	3	octahedral	octahedral	ADJ
ejpam-3673	85	4	axiom	axiom	NOUN
ejpam-3673	85	5	)	)	PUNCT
ejpam-3673	85	6	given	give	VERB
ejpam-3673	85	7	the	the	DET
ejpam-3673	85	8	following	follow	VERB
ejpam-3673	85	9	distinguised	distinguise	VERB
ejpam-3673	85	10	triangles	triangle	NOUN
ejpam-3673	85	11	x	x	PUNCT
ejpam-3673	85	12	y	y	PROPN
ejpam-3673	85	13	z	z	NOUN
ejpam-3673	85	14	′	′	NUM
ejpam-3673	85	15	σx	σx	VERB
ejpam-3673	85	16	y	y	PROPN
ejpam-3673	85	17	z	z	NOUN
ejpam-3673	85	18	x	x	NOUN
ejpam-3673	85	19	′	′	NUM
ejpam-3673	85	20	σy	σy	NOUN
ejpam-3673	85	21	x	x	NOUN
ejpam-3673	86	1	z	z	NOUN
ejpam-3673	86	2	y	y	NOUN
ejpam-3673	86	3	′	′	NUM
ejpam-3673	86	4	σx	σx	ADP
ejpam-3673	86	5	u	u	PROPN
ejpam-3673	86	6	v	v	X
ejpam-3673	86	7	vu	vu	X
ejpam-3673	86	8	(	(	PUNCT
ejpam-3673	86	9	12	12	NUM
ejpam-3673	86	10	)	)	PUNCT
ejpam-3673	86	11	then	then	ADV
ejpam-3673	86	12	there	there	PRON
ejpam-3673	86	13	exists	exist	VERB
ejpam-3673	86	14	a	a	DET
ejpam-3673	86	15	distinguished	distinguished	ADJ
ejpam-3673	86	16	triangle	triangle	NOUN
ejpam-3673	86	17	z	z	NOUN
ejpam-3673	86	18	′	′	NUM
ejpam-3673	87	1	y	y	NOUN
ejpam-3673	87	2	′	′	NUM
ejpam-3673	88	1	x	x	X
ejpam-3673	88	2	′	′	NUM
ejpam-3673	88	3	σz	σz	NOUN
ejpam-3673	88	4	′	′	NUM
ejpam-3673	89	1	making	make	VERB
ejpam-3673	89	2	the	the	DET
ejpam-3673	89	3	following	follow	VERB
ejpam-3673	89	4	diagram	diagram	NOUN
ejpam-3673	89	5	commutative	commutative	PROPN
ejpam-3673	89	6	g.	g.	PROPN
ejpam-3673	89	7	elfiyanti	elfiyanti	PROPN
ejpam-3673	89	8	et	et	PROPN
ejpam-3673	89	9	al	al	PROPN
ejpam-3673	89	10	.	.	PUNCT
ejpam-3673	89	11	/	/	SYM
ejpam-3673	89	12	eur	eur	PROPN
ejpam-3673	89	13	.	.	PUNCT
ejpam-3673	90	1	j.	j.	PROPN
ejpam-3673	90	2	pure	pure	PROPN
ejpam-3673	90	3	appl	appl	PROPN
ejpam-3673	90	4	.	.	PROPN
ejpam-3673	90	5	math	math	PROPN
ejpam-3673	90	6	,	,	PUNCT
ejpam-3673	90	7	13	13	NUM
ejpam-3673	90	8	(	(	PUNCT
ejpam-3673	90	9	2	2	NUM
ejpam-3673	90	10	)	)	PUNCT
ejpam-3673	90	11	(	(	PUNCT
ejpam-3673	90	12	2020	2020	NUM
ejpam-3673	90	13	)	)	PUNCT
ejpam-3673	90	14	,	,	PUNCT
ejpam-3673	90	15	323	323	NUM
ejpam-3673	90	16	-	-	SYM
ejpam-3673	90	17	345	345	NUM
ejpam-3673	90	18	327	327	NUM
ejpam-3673	90	19	x	x	SYM
ejpam-3673	90	20	y	y	NOUN
ejpam-3673	90	21	z	z	NOUN
ejpam-3673	90	22	′	′	NUM
ejpam-3673	91	1	σx	σx	NOUN
ejpam-3673	91	2	x	x	SYM
ejpam-3673	91	3	z	z	NOUN
ejpam-3673	91	4	y	y	NOUN
ejpam-3673	91	5	′	′	NUM
ejpam-3673	92	1	σx	σx	VERB
ejpam-3673	92	2	y	y	PROPN
ejpam-3673	92	3	z	z	NOUN
ejpam-3673	92	4	x	x	NOUN
ejpam-3673	92	5	′	′	NUM
ejpam-3673	93	1	σy	σy	NOUN
ejpam-3673	93	2	z	z	NOUN
ejpam-3673	93	3	′	′	NUM
ejpam-3673	94	1	y	y	NOUN
ejpam-3673	94	2	′	′	NUM
ejpam-3673	95	1	x	x	X
ejpam-3673	95	2	′	′	NUM
ejpam-3673	96	1	σz	σz	NOUN
ejpam-3673	96	2	′	′	NUM
ejpam-3673	97	1	u	u	NOUN
ejpam-3673	97	2	1	1	NUM
ejpam-3673	97	3	v	v	NUM
ejpam-3673	97	4	1	1	NUM
ejpam-3673	97	5	vu	vu	NOUN
ejpam-3673	97	6	u	u	NOUN
ejpam-3673	97	7	1	1	NUM
ejpam-3673	97	8	σu	σu	NOUN
ejpam-3673	97	9	v	v	ADP
ejpam-3673	97	10	1	1	NUM
ejpam-3673	97	11	(	(	PUNCT
ejpam-3673	97	12	13	13	NUM
ejpam-3673	97	13	)	)	PUNCT
ejpam-3673	97	14	2.2	2.2	NUM
ejpam-3673	97	15	.	.	PUNCT
ejpam-3673	98	1	the	the	DET
ejpam-3673	98	2	category	category	NOUN
ejpam-3673	98	3	of	of	ADP
ejpam-3673	98	4	complexes	complex	NOUN
ejpam-3673	98	5	2.2.1	2.2.1	NUM
ejpam-3673	98	6	.	.	PUNCT
ejpam-3673	99	1	chain	chain	NOUN
ejpam-3673	99	2	complexes	complexe	VERB
ejpam-3673	99	3	a	a	DET
ejpam-3673	99	4	complexes	complex	NOUN
ejpam-3673	99	5	(	(	PUNCT
ejpam-3673	99	6	over	over	ADP
ejpam-3673	99	7	r	r	NOUN
ejpam-3673	99	8	-	-	PUNCT
ejpam-3673	99	9	mod	mod	NOUN
ejpam-3673	99	10	)	)	PUNCT
ejpam-3673	99	11	is	be	AUX
ejpam-3673	99	12	a	a	DET
ejpam-3673	99	13	family	family	NOUN
ejpam-3673	99	14	x	x	PUNCT
ejpam-3673	99	15	=	=	SYM
ejpam-3673	99	16	(	(	PUNCT
ejpam-3673	99	17	xn	xn	PROPN
ejpam-3673	99	18	,	,	PUNCT
ejpam-3673	99	19	d	d	NOUN
ejpam-3673	99	20	x	x	PROPN
ejpam-3673	99	21	n	n	X
ejpam-3673	99	22	)	)	PUNCT
ejpam-3673	99	23	n∈z	n∈z	NUM
ejpam-3673	99	24	·	·	PUNCT
ejpam-3673	99	25	·	·	PUNCT
ejpam-3673	99	26	·	·	PUNCT
ejpam-3673	100	1	xn+1	xn+1	NUM
ejpam-3673	100	2	xn	xn	PUNCT
ejpam-3673	101	1	xn−1	xn−1	PROPN
ejpam-3673	101	2	·	·	PUNCT
ejpam-3673	101	3	·	·	PUNCT
ejpam-3673	101	4	·	·	PUNCT
ejpam-3673	101	5	dxn+1	dxn+1	NOUN
ejpam-3673	101	6	dxn	dxn	NOUN
ejpam-3673	101	7	(	(	PUNCT
ejpam-3673	101	8	14	14	NUM
ejpam-3673	101	9	)	)	PUNCT
ejpam-3673	101	10	where	where	SCONJ
ejpam-3673	101	11	xn	xn	PROPN
ejpam-3673	101	12	are	be	AUX
ejpam-3673	101	13	r	r	NOUN
ejpam-3673	101	14	-	-	PUNCT
ejpam-3673	101	15	modules	module	NOUN
ejpam-3673	101	16	,	,	PUNCT
ejpam-3673	101	17	and	and	CCONJ
ejpam-3673	101	18	dxn	dxn	VERB
ejpam-3673	101	19	:	:	PUNCT
ejpam-3673	101	20	xn	xn	PUNCT
ejpam-3673	101	21	−→	−→	PROPN
ejpam-3673	101	22	xn−1	xn−1	PROPN
ejpam-3673	101	23	are	be	AUX
ejpam-3673	101	24	r	r	NOUN
ejpam-3673	101	25	-	-	PUNCT
ejpam-3673	101	26	modules	module	NOUN
ejpam-3673	101	27	homomorphisms	homomorphism	NOUN
ejpam-3673	101	28	such	such	ADJ
ejpam-3673	101	29	that	that	DET
ejpam-3673	101	30	dxn+1d	dxn+1d	NOUN
ejpam-3673	101	31	x	x	X
ejpam-3673	102	1	n	n	NOUN
ejpam-3673	102	2	=	=	NOUN
ejpam-3673	102	3	0	0	NUM
ejpam-3673	102	4	for	for	ADP
ejpam-3673	102	5	all	all	DET
ejpam-3673	102	6	n	n	PRON
ejpam-3673	102	7	∈	∈	PROPN
ejpam-3673	102	8	z.	z.	NOUN
ejpam-3673	103	1	the	the	DET
ejpam-3673	103	2	morphism	morphism	NOUN
ejpam-3673	103	3	dxn	dxn	PROPN
ejpam-3673	103	4	is	be	AUX
ejpam-3673	103	5	called	call	VERB
ejpam-3673	103	6	the	the	DET
ejpam-3673	103	7	differential	differential	NOUN
ejpam-3673	103	8	of	of	ADP
ejpam-3673	103	9	x	x	PUNCT
ejpam-3673	103	10	on	on	ADP
ejpam-3673	103	11	degree	degree	NOUN
ejpam-3673	103	12	n.	n.	PROPN
ejpam-3673	103	13	a	a	DET
ejpam-3673	103	14	morphism	morphism	NOUN
ejpam-3673	103	15	f	f	NOUN
ejpam-3673	103	16	:	:	PUNCT
ejpam-3673	103	17	x	x	X
ejpam-3673	103	18	→	→	SYM
ejpam-3673	103	19	y	y	NOUN
ejpam-3673	103	20	of	of	ADP
ejpam-3673	103	21	complexes	complex	NOUN
ejpam-3673	103	22	is	be	AUX
ejpam-3673	103	23	a	a	DET
ejpam-3673	103	24	family	family	NOUN
ejpam-3673	103	25	f	f	NOUN
ejpam-3673	104	1	=	=	PUNCT
ejpam-3673	105	1	(	(	PUNCT
ejpam-3673	105	2	fn)n∈z	fn)n∈z	NUM
ejpam-3673	105	3	of	of	ADP
ejpam-3673	105	4	morphisms	morphism	NOUN
ejpam-3673	105	5	hn	hn	INTJ
ejpam-3673	105	6	:	:	PUNCT
ejpam-3673	105	7	xn	xn	PUNCT
ejpam-3673	106	1	−→	−→	NOUN
ejpam-3673	106	2	yn	yn	PRON
ejpam-3673	106	3	such	such	ADJ
ejpam-3673	106	4	that	that	PRON
ejpam-3673	106	5	fnd	fnd	VERB
ejpam-3673	106	6	x	x	PUNCT
ejpam-3673	106	7	n+1	n+1	PUNCT
ejpam-3673	106	8	=	=	SYM
ejpam-3673	106	9	dyn+1fn+1	dyn+1fn+1	PROPN
ejpam-3673	106	10	for	for	ADP
ejpam-3673	106	11	all	all	DET
ejpam-3673	106	12	n	n	PRON
ejpam-3673	106	13	∈	∈	PROPN
ejpam-3673	106	14	z.	z.	X
ejpam-3673	106	15	·	·	PUNCT
ejpam-3673	106	16	·	·	PUNCT
ejpam-3673	106	17	·	·	PUNCT
ejpam-3673	107	1	xn+1	xn+1	NUM
ejpam-3673	107	2	xn	xn	PUNCT
ejpam-3673	108	1	xn−1	xn−1	PROPN
ejpam-3673	108	2	·	·	PUNCT
ejpam-3673	108	3	·	·	PUNCT
ejpam-3673	108	4	·	·	PUNCT
ejpam-3673	108	5	·	·	PUNCT
ejpam-3673	108	6	·	·	PUNCT
ejpam-3673	108	7	·	·	PUNCT
ejpam-3673	108	8	yn+1	yn+1	X
ejpam-3673	108	9	yn	yn	PROPN
ejpam-3673	108	10	xn−1	xn−1	PROPN
ejpam-3673	108	11	·	·	PUNCT
ejpam-3673	108	12	·	·	PUNCT
ejpam-3673	108	13	·	·	PUNCT
ejpam-3673	108	14	dxn+1	dxn+1	X
ejpam-3673	108	15	fn+1	fn+1	NOUN
ejpam-3673	108	16	dxn	dxn	NOUN
ejpam-3673	108	17	fn	fn	PROPN
ejpam-3673	108	18	fn−1	fn−1	PROPN
ejpam-3673	108	19	dyn+1	dyn+1	PROPN
ejpam-3673	108	20	dyn	dyn	NOUN
ejpam-3673	108	21	(	(	PUNCT
ejpam-3673	108	22	15	15	NUM
ejpam-3673	108	23	)	)	PUNCT
ejpam-3673	108	24	the	the	DET
ejpam-3673	108	25	chain	chain	NOUN
ejpam-3673	108	26	complexes	complexe	VERB
ejpam-3673	108	27	together	together	ADV
ejpam-3673	108	28	with	with	ADP
ejpam-3673	108	29	morphism	morphism	NOUN
ejpam-3673	108	30	of	of	ADP
ejpam-3673	108	31	complexes	complex	NOUN
ejpam-3673	108	32	form	form	VERB
ejpam-3673	108	33	a	a	DET
ejpam-3673	108	34	category	category	NOUN
ejpam-3673	108	35	c(r	c(r	NOUN
ejpam-3673	108	36	)	)	PUNCT
ejpam-3673	108	37	,	,	PUNCT
ejpam-3673	108	38	the	the	DET
ejpam-3673	108	39	category	category	NOUN
ejpam-3673	108	40	of	of	ADP
ejpam-3673	108	41	complexes	complex	NOUN
ejpam-3673	108	42	.	.	PUNCT
ejpam-3673	109	1	this	this	DET
ejpam-3673	109	2	category	category	NOUN
ejpam-3673	109	3	is	be	AUX
ejpam-3673	109	4	an	an	DET
ejpam-3673	109	5	abelian	abelian	ADJ
ejpam-3673	109	6	category	category	NOUN
ejpam-3673	109	7	.	.	PUNCT
ejpam-3673	110	1	2.2.2	2.2.2	X
ejpam-3673	110	2	.	.	PUNCT
ejpam-3673	111	1	the	the	DET
ejpam-3673	111	2	homotopy	homotopy	NOUN
ejpam-3673	111	3	category	category	NOUN
ejpam-3673	111	4	of	of	ADP
ejpam-3673	111	5	complexes	complex	NOUN
ejpam-3673	111	6	let	let	VERB
ejpam-3673	111	7	x	x	PRON
ejpam-3673	111	8	and	and	CCONJ
ejpam-3673	111	9	y	y	PROPN
ejpam-3673	111	10	be	be	AUX
ejpam-3673	111	11	two	two	NUM
ejpam-3673	111	12	objects	object	NOUN
ejpam-3673	111	13	in	in	ADP
ejpam-3673	111	14	c(r	c(r	NOUN
ejpam-3673	111	15	)	)	PUNCT
ejpam-3673	111	16	.	.	PUNCT
ejpam-3673	112	1	a	a	DET
ejpam-3673	112	2	morphsim	morphsim	NOUN
ejpam-3673	112	3	f	f	PROPN
ejpam-3673	112	4	∈	∈	PROPN
ejpam-3673	112	5	homc(r	homc(r	PROPN
ejpam-3673	112	6	)	)	PUNCT
ejpam-3673	112	7	(	(	PUNCT
ejpam-3673	112	8	x	x	X
ejpam-3673	112	9	,	,	PUNCT
ejpam-3673	112	10	y	y	PROPN
ejpam-3673	112	11	)	)	PUNCT
ejpam-3673	112	12	is	be	AUX
ejpam-3673	112	13	called	call	VERB
ejpam-3673	112	14	homotopic	homotopic	ADJ
ejpam-3673	112	15	to	to	ADP
ejpam-3673	112	16	zero	zero	NUM
ejpam-3673	112	17	(	(	PUNCT
ejpam-3673	112	18	or	or	CCONJ
ejpam-3673	112	19	null	null	ADJ
ejpam-3673	112	20	homotopic	homotopic	NOUN
ejpam-3673	112	21	)	)	PUNCT
ejpam-3673	112	22	if	if	SCONJ
ejpam-3673	112	23	there	there	PRON
ejpam-3673	112	24	exists	exist	VERB
ejpam-3673	112	25	a	a	DET
ejpam-3673	112	26	family	family	NOUN
ejpam-3673	112	27	h	h	NOUN
ejpam-3673	112	28	=	=	SYM
ejpam-3673	112	29	(	(	PUNCT
ejpam-3673	112	30	hn)n∈z	hn)n∈z	NUM
ejpam-3673	112	31	of	of	ADP
ejpam-3673	112	32	morphisms	morphism	NOUN
ejpam-3673	112	33	hn	hn	INTJ
ejpam-3673	112	34	:	:	PUNCT
ejpam-3673	112	35	xn	xn	PROPN
ejpam-3673	112	36	→	→	SYM
ejpam-3673	112	37	yn+1	yn+1	X
ejpam-3673	112	38	·	·	PUNCT
ejpam-3673	112	39	·	·	PUNCT
ejpam-3673	112	40	·	·	PUNCT
ejpam-3673	112	41	xn+1	xn+1	NUM
ejpam-3673	112	42	xn	xn	PUNCT
ejpam-3673	113	1	xn−1	xn−1	PROPN
ejpam-3673	113	2	·	·	PUNCT
ejpam-3673	113	3	·	·	PUNCT
ejpam-3673	113	4	·	·	PUNCT
ejpam-3673	113	5	·	·	PUNCT
ejpam-3673	113	6	·	·	PUNCT
ejpam-3673	113	7	·	·	PUNCT
ejpam-3673	113	8	yn+1	yn+1	X
ejpam-3673	113	9	yn	yn	PROPN
ejpam-3673	113	10	xn−1	xn−1	PROPN
ejpam-3673	113	11	·	·	PUNCT
ejpam-3673	113	12	·	·	PUNCT
ejpam-3673	113	13	·	·	PUNCT
ejpam-3673	113	14	dxn+1	dxn+1	X
ejpam-3673	113	15	fn+1	fn+1	NOUN
ejpam-3673	113	16	dxn	dxn	NOUN
ejpam-3673	113	17	fn	fn	INTJ
ejpam-3673	113	18	hn	hn	PROPN
ejpam-3673	113	19	hn−1	hn−1	PROPN
ejpam-3673	113	20	fn−1	fn−1	PROPN
ejpam-3673	113	21	dyn+1	dyn+1	PROPN
ejpam-3673	113	22	dyn	dyn	NOUN
ejpam-3673	113	23	(	(	PUNCT
ejpam-3673	113	24	16	16	NUM
ejpam-3673	113	25	)	)	PUNCT
ejpam-3673	113	26	satisfying	satisfy	VERB
ejpam-3673	113	27	fn	fn	NOUN
ejpam-3673	113	28	=	=	PUNCT
ejpam-3673	113	29	dyn+1hn	dyn+1hn	NOUN
ejpam-3673	113	30	+	+	CCONJ
ejpam-3673	113	31	hn−1d	hn−1d	NOUN
ejpam-3673	113	32	x	x	SYM
ejpam-3673	113	33	n	n	PROPN
ejpam-3673	113	34	for	for	ADP
ejpam-3673	113	35	all	all	DET
ejpam-3673	113	36	n	n	PRON
ejpam-3673	113	37	∈	∈	PROPN
ejpam-3673	113	38	z	z	NOUN
ejpam-3673	113	39	(	(	PUNCT
ejpam-3673	113	40	17	17	NUM
ejpam-3673	113	41	)	)	PUNCT
ejpam-3673	113	42	g.	g.	PROPN
ejpam-3673	114	1	elfiyanti	elfiyanti	PROPN
ejpam-3673	114	2	et	et	PROPN
ejpam-3673	114	3	al	al	PROPN
ejpam-3673	114	4	.	.	PUNCT
ejpam-3673	114	5	/	/	SYM
ejpam-3673	114	6	eur	eur	PROPN
ejpam-3673	114	7	.	.	PUNCT
ejpam-3673	115	1	j.	j.	PROPN
ejpam-3673	115	2	pure	pure	PROPN
ejpam-3673	115	3	appl	appl	PROPN
ejpam-3673	115	4	.	.	PROPN
ejpam-3673	115	5	math	math	PROPN
ejpam-3673	115	6	,	,	PUNCT
ejpam-3673	115	7	13	13	NUM
ejpam-3673	115	8	(	(	PUNCT
ejpam-3673	115	9	2	2	NUM
ejpam-3673	115	10	)	)	PUNCT
ejpam-3673	115	11	(	(	PUNCT
ejpam-3673	115	12	2020	2020	NUM
ejpam-3673	115	13	)	)	PUNCT
ejpam-3673	115	14	,	,	PUNCT
ejpam-3673	115	15	323	323	NUM
ejpam-3673	115	16	-	-	SYM
ejpam-3673	115	17	345	345	NUM
ejpam-3673	115	18	328	328	NUM
ejpam-3673	115	19	the	the	DET
ejpam-3673	115	20	morphism	morphism	NOUN
ejpam-3673	115	21	h	h	NOUN
ejpam-3673	115	22	is	be	AUX
ejpam-3673	115	23	called	call	VERB
ejpam-3673	115	24	a	a	DET
ejpam-3673	115	25	(	(	PUNCT
ejpam-3673	115	26	chain	chain	NOUN
ejpam-3673	115	27	)	)	PUNCT
ejpam-3673	115	28	homotopy	homotopy	NOUN
ejpam-3673	115	29	map	map	NOUN
ejpam-3673	115	30	.	.	PUNCT
ejpam-3673	116	1	two	two	NUM
ejpam-3673	116	2	morphisms	morphism	NOUN
ejpam-3673	116	3	f	f	NOUN
ejpam-3673	116	4	,	,	PUNCT
ejpam-3673	116	5	g	g	PROPN
ejpam-3673	116	6	∈homc(r	∈homc(r	PROPN
ejpam-3673	116	7	)	)	PUNCT
ejpam-3673	116	8	(	(	PUNCT
ejpam-3673	116	9	x	x	X
ejpam-3673	116	10	,	,	PUNCT
ejpam-3673	116	11	y	y	PROPN
ejpam-3673	116	12	)	)	PUNCT
ejpam-3673	116	13	are	be	AUX
ejpam-3673	116	14	called	call	VERB
ejpam-3673	116	15	homotopy	homotopy	PROPN
ejpam-3673	116	16	equivalent	equivalent	NOUN
ejpam-3673	116	17	,	,	PUNCT
ejpam-3673	116	18	denoted	denote	VERB
ejpam-3673	116	19	by	by	ADP
ejpam-3673	116	20	f	f	PROPN
ejpam-3673	116	21	∼	∼	NOUN
ejpam-3673	116	22	g	g	NOUN
ejpam-3673	116	23	,	,	PUNCT
ejpam-3673	116	24	if	if	SCONJ
ejpam-3673	116	25	and	and	CCONJ
ejpam-3673	116	26	only	only	ADV
ejpam-3673	116	27	if	if	SCONJ
ejpam-3673	116	28	f	f	PROPN
ejpam-3673	117	1	−	−	PROPN
ejpam-3673	118	1	g	g	PROPN
ejpam-3673	118	2	is	be	AUX
ejpam-3673	118	3	homotopic	homotopic	ADJ
ejpam-3673	118	4	to	to	ADP
ejpam-3673	118	5	zero	zero	NUM
ejpam-3673	118	6	.	.	PUNCT
ejpam-3673	119	1	a	a	DET
ejpam-3673	119	2	complex	complex	NOUN
ejpam-3673	119	3	x	x	AUX
ejpam-3673	119	4	is	be	AUX
ejpam-3673	119	5	called	call	VERB
ejpam-3673	119	6	homotopic	homotopic	ADJ
ejpam-3673	119	7	to	to	ADP
ejpam-3673	119	8	zero	zero	NUM
ejpam-3673	119	9	if	if	SCONJ
ejpam-3673	119	10	the	the	DET
ejpam-3673	119	11	identity	identity	NOUN
ejpam-3673	119	12	morphism	morphism	NOUN
ejpam-3673	119	13	on	on	ADP
ejpam-3673	119	14	x	x	PUNCT
ejpam-3673	119	15	is	be	AUX
ejpam-3673	119	16	homotopic	homotopic	ADJ
ejpam-3673	119	17	to	to	ADP
ejpam-3673	119	18	zero	zero	NUM
ejpam-3673	119	19	.	.	PUNCT
ejpam-3673	120	1	the	the	DET
ejpam-3673	120	2	homotopy	homotopy	PROPN
ejpam-3673	120	3	relation	relation	NOUN
ejpam-3673	120	4	is	be	AUX
ejpam-3673	120	5	an	an	DET
ejpam-3673	120	6	equivalence	equivalence	NOUN
ejpam-3673	120	7	relation	relation	NOUN
ejpam-3673	120	8	on	on	ADP
ejpam-3673	120	9	the	the	DET
ejpam-3673	120	10	class	class	NOUN
ejpam-3673	120	11	of	of	ADP
ejpam-3673	120	12	morphism	morphism	NOUN
ejpam-3673	120	13	in	in	ADP
ejpam-3673	120	14	c	c	PROPN
ejpam-3673	120	15	(	(	PUNCT
ejpam-3673	120	16	r	r	NOUN
ejpam-3673	120	17	)	)	PUNCT
ejpam-3673	120	18	.	.	PUNCT
ejpam-3673	121	1	moreover	moreover	ADV
ejpam-3673	121	2	if	if	SCONJ
ejpam-3673	121	3	ht	ht	PROPN
ejpam-3673	121	4	(	(	PUNCT
ejpam-3673	121	5	x	x	PROPN
ejpam-3673	121	6	,	,	PUNCT
ejpam-3673	121	7	y	y	PROPN
ejpam-3673	121	8	)	)	PUNCT
ejpam-3673	121	9	is	be	AUX
ejpam-3673	121	10	the	the	DET
ejpam-3673	121	11	set	set	NOUN
ejpam-3673	121	12	of	of	ADP
ejpam-3673	121	13	morphisms	morphism	NOUN
ejpam-3673	121	14	from	from	ADP
ejpam-3673	121	15	x	x	PUNCT
ejpam-3673	121	16	to	to	ADP
ejpam-3673	121	17	y	y	PRON
ejpam-3673	121	18	which	which	PRON
ejpam-3673	121	19	are	be	AUX
ejpam-3673	121	20	homotopic	homotopic	ADJ
ejpam-3673	121	21	to	to	ADP
ejpam-3673	121	22	zero	zero	NUM
ejpam-3673	121	23	,	,	PUNCT
ejpam-3673	121	24	then	then	ADV
ejpam-3673	121	25	the	the	DET
ejpam-3673	121	26	collection	collection	NOUN
ejpam-3673	121	27	of	of	ADP
ejpam-3673	121	28	all	all	DET
ejpam-3673	121	29	ht	ht	PROPN
ejpam-3673	121	30	(	(	PUNCT
ejpam-3673	121	31	x	x	PROPN
ejpam-3673	121	32	,	,	PUNCT
ejpam-3673	121	33	y	y	NOUN
ejpam-3673	121	34	)	)	PUNCT
ejpam-3673	121	35	form	form	NOUN
ejpam-3673	121	36	and	and	CCONJ
ejpam-3673	121	37	ideal	ideal	NOUN
ejpam-3673	121	38	in	in	ADP
ejpam-3673	121	39	c	c	PROPN
ejpam-3673	121	40	(	(	PUNCT
ejpam-3673	121	41	r	r	NOUN
ejpam-3673	121	42	)	)	PUNCT
ejpam-3673	121	43	.	.	PUNCT
ejpam-3673	122	1	this	this	PRON
ejpam-3673	122	2	implies	imply	VERB
ejpam-3673	122	3	the	the	DET
ejpam-3673	122	4	composition	composition	NOUN
ejpam-3673	122	5	of	of	ADP
ejpam-3673	122	6	two	two	NUM
ejpam-3673	122	7	equivalence	equivalence	NOUN
ejpam-3673	122	8	classes	class	NOUN
ejpam-3673	122	9	(	(	PUNCT
ejpam-3673	122	10	modulo	modulo	NOUN
ejpam-3673	122	11	homotopy	homotopy	PROPN
ejpam-3673	122	12	)	)	PUNCT
ejpam-3673	122	13	can	can	AUX
ejpam-3673	122	14	be	be	AUX
ejpam-3673	122	15	defined	define	VERB
ejpam-3673	122	16	as	as	ADP
ejpam-3673	122	17	the	the	DET
ejpam-3673	122	18	equivalence	equivalence	NOUN
ejpam-3673	122	19	classes	class	NOUN
ejpam-3673	122	20	of	of	ADP
ejpam-3673	122	21	composition	composition	NOUN
ejpam-3673	122	22	of	of	ADP
ejpam-3673	122	23	two	two	NUM
ejpam-3673	122	24	representative	representative	ADJ
ejpam-3673	122	25	morphisms	morphism	NOUN
ejpam-3673	122	26	from	from	ADP
ejpam-3673	122	27	each	each	DET
ejpam-3673	122	28	equivalence	equivalence	NOUN
ejpam-3673	122	29	class	class	NOUN
ejpam-3673	122	30	.	.	PUNCT
ejpam-3673	123	1	the	the	DET
ejpam-3673	123	2	quotient	quotient	NOUN
ejpam-3673	123	3	category	category	NOUN
ejpam-3673	123	4	of	of	ADP
ejpam-3673	123	5	c	c	PROPN
ejpam-3673	123	6	(	(	PUNCT
ejpam-3673	123	7	r	r	NOUN
ejpam-3673	123	8	)	)	PUNCT
ejpam-3673	123	9	modulo	modulo	NOUN
ejpam-3673	123	10	this	this	DET
ejpam-3673	123	11	ideal	ideal	NOUN
ejpam-3673	123	12	is	be	AUX
ejpam-3673	123	13	called	call	VERB
ejpam-3673	123	14	homotopy	homotopy	NOUN
ejpam-3673	123	15	category	category	NOUN
ejpam-3673	123	16	.	.	PUNCT
ejpam-3673	124	1	definition	definition	NOUN
ejpam-3673	124	2	3	3	NUM
ejpam-3673	124	3	(	(	PUNCT
ejpam-3673	124	4	[	[	X
ejpam-3673	124	5	15	15	NUM
ejpam-3673	124	6	]	]	NUM
ejpam-3673	124	7	)	)	PUNCT
ejpam-3673	124	8	.	.	PUNCT
ejpam-3673	125	1	the	the	DET
ejpam-3673	125	2	homotopy	homotopy	NOUN
ejpam-3673	125	3	category	category	NOUN
ejpam-3673	125	4	of	of	ADP
ejpam-3673	125	5	complexes	complex	NOUN
ejpam-3673	125	6	,	,	PUNCT
ejpam-3673	125	7	denote	denote	VERB
ejpam-3673	125	8	by	by	ADP
ejpam-3673	125	9	k	k	PROPN
ejpam-3673	125	10	(	(	PUNCT
ejpam-3673	125	11	r	r	NOUN
ejpam-3673	125	12	)	)	PUNCT
ejpam-3673	125	13	,	,	PUNCT
ejpam-3673	125	14	has	have	VERB
ejpam-3673	125	15	the	the	DET
ejpam-3673	125	16	same	same	ADJ
ejpam-3673	125	17	object	object	NOUN
ejpam-3673	125	18	as	as	ADP
ejpam-3673	125	19	the	the	DET
ejpam-3673	125	20	category	category	NOUN
ejpam-3673	125	21	c	c	NOUN
ejpam-3673	125	22	(	(	PUNCT
ejpam-3673	125	23	r	r	NOUN
ejpam-3673	125	24	)	)	PUNCT
ejpam-3673	125	25	.	.	PUNCT
ejpam-3673	126	1	the	the	DET
ejpam-3673	126	2	morphisms	morphism	NOUN
ejpam-3673	126	3	in	in	ADP
ejpam-3673	126	4	k	k	PROPN
ejpam-3673	126	5	(	(	PUNCT
ejpam-3673	126	6	r	r	NOUN
ejpam-3673	126	7	)	)	PUNCT
ejpam-3673	126	8	are	be	AUX
ejpam-3673	126	9	the	the	DET
ejpam-3673	126	10	equivalence	equivalence	NOUN
ejpam-3673	126	11	classes	class	NOUN
ejpam-3673	126	12	of	of	ADP
ejpam-3673	126	13	morphism	morphism	NOUN
ejpam-3673	126	14	in	in	ADP
ejpam-3673	126	15	c	c	PROPN
ejpam-3673	126	16	(	(	PUNCT
ejpam-3673	126	17	r	r	NOUN
ejpam-3673	126	18	)	)	PUNCT
ejpam-3673	126	19	modulo	modulo	PROPN
ejpam-3673	126	20	homotopy	homotopy	PROPN
ejpam-3673	126	21	,	,	PUNCT
ejpam-3673	126	22	i.e.	i.e.	X
ejpam-3673	126	23	homk(r	homk(r	NOUN
ejpam-3673	126	24	)	)	PUNCT
ejpam-3673	126	25	(	(	PUNCT
ejpam-3673	126	26	x	x	X
ejpam-3673	126	27	,	,	PUNCT
ejpam-3673	126	28	y	y	PROPN
ejpam-3673	126	29	)	)	PUNCT
ejpam-3673	127	1	=	=	SYM
ejpam-3673	127	2	homc(r	homc(r	NOUN
ejpam-3673	127	3	)	)	PUNCT
ejpam-3673	127	4	(	(	PUNCT
ejpam-3673	127	5	x	x	X
ejpam-3673	127	6	,	,	PUNCT
ejpam-3673	127	7	y	y	PROPN
ejpam-3673	127	8	)	)	PUNCT
ejpam-3673	127	9	/ht	/ht	PUNCT
ejpam-3673	128	1	(	(	PUNCT
ejpam-3673	128	2	x	x	X
ejpam-3673	128	3	,	,	PUNCT
ejpam-3673	128	4	y	y	PROPN
ejpam-3673	128	5	)	)	PUNCT
ejpam-3673	128	6	(	(	PUNCT
ejpam-3673	128	7	18	18	NUM
ejpam-3673	128	8	)	)	PUNCT
ejpam-3673	128	9	and	and	CCONJ
ejpam-3673	128	10	the	the	DET
ejpam-3673	128	11	composition	composition	NOUN
ejpam-3673	128	12	of	of	ADP
ejpam-3673	128	13	two	two	NUM
ejpam-3673	128	14	equivalence	equivalence	NOUN
ejpam-3673	128	15	classes	class	NOUN
ejpam-3673	128	16	(	(	PUNCT
ejpam-3673	128	17	modulo	modulo	NOUN
ejpam-3673	128	18	homotopy	homotopy	PROPN
ejpam-3673	128	19	)	)	PUNCT
ejpam-3673	128	20	is	be	AUX
ejpam-3673	128	21	defined	define	VERB
ejpam-3673	128	22	as	as	ADP
ejpam-3673	128	23	the	the	DET
ejpam-3673	128	24	equivalence	equivalence	NOUN
ejpam-3673	128	25	classes	class	NOUN
ejpam-3673	128	26	of	of	ADP
ejpam-3673	128	27	composition	composition	NOUN
ejpam-3673	128	28	of	of	ADP
ejpam-3673	128	29	two	two	NUM
ejpam-3673	128	30	representative	representative	ADJ
ejpam-3673	128	31	morphisms	morphism	NOUN
ejpam-3673	128	32	from	from	ADP
ejpam-3673	128	33	each	each	DET
ejpam-3673	128	34	equivalence	equivalence	NOUN
ejpam-3673	128	35	class	class	NOUN
ejpam-3673	128	36	,	,	PUNCT
ejpam-3673	128	37	i.e.	i.e.	X
ejpam-3673	128	38	ḡ	ḡ	ADJ
ejpam-3673	128	39	◦	◦	NOUN
ejpam-3673	128	40	f̄	f̄	PROPN
ejpam-3673	128	41	=	=	PUNCT
ejpam-3673	128	42	g	g	PROPN
ejpam-3673	128	43	◦	◦	NOUN
ejpam-3673	128	44	f	f	PROPN
ejpam-3673	128	45	for	for	ADP
ejpam-3673	128	46	all	all	DET
ejpam-3673	128	47	f̄	f̄	PROPN
ejpam-3673	128	48	∈	∈	PROPN
ejpam-3673	128	49	homc(r	homc(r	NOUN
ejpam-3673	128	50	)	)	PUNCT
ejpam-3673	128	51	(	(	PUNCT
ejpam-3673	128	52	x	x	X
ejpam-3673	128	53	,	,	PUNCT
ejpam-3673	128	54	y	y	PROPN
ejpam-3673	128	55	)	)	PUNCT
ejpam-3673	128	56	/ht	/ht	PUNCT
ejpam-3673	129	1	(	(	PUNCT
ejpam-3673	129	2	x	x	X
ejpam-3673	129	3	,	,	PUNCT
ejpam-3673	129	4	y	y	PROPN
ejpam-3673	129	5	)	)	PUNCT
ejpam-3673	129	6	and	and	CCONJ
ejpam-3673	129	7	ḡ	ḡ	VERB
ejpam-3673	129	8	∈	∈	PROPN
ejpam-3673	129	9	homc(r	homc(r	NOUN
ejpam-3673	129	10	)	)	PUNCT
ejpam-3673	129	11	(	(	PUNCT
ejpam-3673	129	12	y	y	PROPN
ejpam-3673	129	13	,	,	PUNCT
ejpam-3673	129	14	z	z	NOUN
ejpam-3673	129	15	)	)	PUNCT
ejpam-3673	129	16	/ht	/ht	PUNCT
ejpam-3673	130	1	(	(	PUNCT
ejpam-3673	130	2	x	x	X
ejpam-3673	130	3	,	,	PUNCT
ejpam-3673	130	4	y	y	PROPN
ejpam-3673	130	5	)	)	PUNCT
ejpam-3673	130	6	.	.	PUNCT
ejpam-3673	131	1	proposition	proposition	NOUN
ejpam-3673	131	2	2	2	NUM
ejpam-3673	131	3	(	(	PUNCT
ejpam-3673	131	4	[	[	X
ejpam-3673	131	5	14	14	NUM
ejpam-3673	131	6	]	]	NUM
ejpam-3673	131	7	)	)	PUNCT
ejpam-3673	131	8	.	.	PUNCT
ejpam-3673	132	1	the	the	DET
ejpam-3673	132	2	homotopy	homotopy	NOUN
ejpam-3673	132	3	category	category	NOUN
ejpam-3673	132	4	k	k	PROPN
ejpam-3673	132	5	(	(	PUNCT
ejpam-3673	132	6	r	r	NOUN
ejpam-3673	132	7	)	)	PUNCT
ejpam-3673	132	8	is	be	AUX
ejpam-3673	132	9	an	an	DET
ejpam-3673	132	10	additive	additive	ADJ
ejpam-3673	132	11	category	category	NOUN
ejpam-3673	132	12	.	.	PUNCT
ejpam-3673	133	1	2.2.3	2.2.3	NUM
ejpam-3673	133	2	.	.	PUNCT
ejpam-3673	133	3	triangulated	triangulate	VERB
ejpam-3673	133	4	structure	structure	NOUN
ejpam-3673	133	5	of	of	ADP
ejpam-3673	133	6	the	the	DET
ejpam-3673	133	7	homotopy	homotopy	NOUN
ejpam-3673	133	8	category	category	NOUN
ejpam-3673	133	9	of	of	ADP
ejpam-3673	133	10	complexes	complex	NOUN
ejpam-3673	133	11	in	in	ADP
ejpam-3673	133	12	this	this	DET
ejpam-3673	133	13	section	section	NOUN
ejpam-3673	133	14	we	we	PRON
ejpam-3673	133	15	recall	recall	VERB
ejpam-3673	133	16	a	a	DET
ejpam-3673	133	17	method	method	NOUN
ejpam-3673	133	18	to	to	PART
ejpam-3673	133	19	get	get	VERB
ejpam-3673	133	20	a	a	DET
ejpam-3673	133	21	triangulated	triangulate	VERB
ejpam-3673	133	22	structure	structure	NOUN
ejpam-3673	133	23	on	on	ADP
ejpam-3673	133	24	k	k	PROPN
ejpam-3673	133	25	(	(	PUNCT
ejpam-3673	133	26	r	r	NOUN
ejpam-3673	133	27	)	)	PUNCT
ejpam-3673	133	28	.	.	PUNCT
ejpam-3673	134	1	at	at	ADP
ejpam-3673	134	2	first	first	ADV
ejpam-3673	134	3	we	we	PRON
ejpam-3673	134	4	need	need	VERB
ejpam-3673	134	5	an	an	DET
ejpam-3673	134	6	additive	additive	ADJ
ejpam-3673	134	7	automorphism	automorphism	NOUN
ejpam-3673	134	8	on	on	ADP
ejpam-3673	134	9	k	k	PROPN
ejpam-3673	134	10	(	(	PUNCT
ejpam-3673	134	11	r	r	NOUN
ejpam-3673	134	12	)	)	PUNCT
ejpam-3673	134	13	,	,	PUNCT
ejpam-3673	134	14	then	then	ADV
ejpam-3673	134	15	we	we	PRON
ejpam-3673	134	16	find	find	VERB
ejpam-3673	134	17	a	a	DET
ejpam-3673	134	18	suitable	suitable	ADJ
ejpam-3673	134	19	set	set	NOUN
ejpam-3673	134	20	distinguished	distinguished	ADJ
ejpam-3673	134	21	triangles	triangle	NOUN
ejpam-3673	134	22	in	in	ADP
ejpam-3673	134	23	k	k	PROPN
ejpam-3673	134	24	(	(	PUNCT
ejpam-3673	134	25	r	r	NOUN
ejpam-3673	134	26	)	)	PUNCT
ejpam-3673	134	27	.	.	PUNCT
ejpam-3673	135	1	the	the	DET
ejpam-3673	135	2	additive	additive	ADJ
ejpam-3673	135	3	automorphism	automorphism	NOUN
ejpam-3673	135	4	can	can	AUX
ejpam-3673	135	5	be	be	AUX
ejpam-3673	135	6	defined	define	VERB
ejpam-3673	135	7	on	on	ADP
ejpam-3673	135	8	the	the	DET
ejpam-3673	135	9	level	level	NOUN
ejpam-3673	135	10	of	of	ADP
ejpam-3673	135	11	the	the	DET
ejpam-3673	135	12	cateogry	cateogry	NOUN
ejpam-3673	135	13	c	c	NOUN
ejpam-3673	135	14	(	(	PUNCT
ejpam-3673	135	15	r	r	NOUN
ejpam-3673	135	16	)	)	PUNCT
ejpam-3673	135	17	as	as	SCONJ
ejpam-3673	135	18	follow	follow	VERB
ejpam-3673	135	19	.	.	PUNCT
ejpam-3673	136	1	definition	definition	NOUN
ejpam-3673	136	2	4	4	NUM
ejpam-3673	136	3	(	(	PUNCT
ejpam-3673	136	4	[	[	X
ejpam-3673	136	5	14	14	NUM
ejpam-3673	136	6	]	]	NUM
ejpam-3673	136	7	)	)	PUNCT
ejpam-3673	136	8	.	.	PUNCT
ejpam-3673	137	1	a	a	DET
ejpam-3673	137	2	translation	translation	NOUN
ejpam-3673	137	3	functor	functor	NOUN
ejpam-3673	137	4	or	or	CCONJ
ejpam-3673	137	5	(	(	PUNCT
ejpam-3673	137	6	left	left	ADJ
ejpam-3673	137	7	)	)	PUNCT
ejpam-3673	137	8	shift	shift	NOUN
ejpam-3673	137	9	σ	σ	NOUN
ejpam-3673	137	10	in	in	ADP
ejpam-3673	137	11	c	c	PROPN
ejpam-3673	137	12	(	(	PUNCT
ejpam-3673	137	13	r	r	NOUN
ejpam-3673	137	14	)	)	PUNCT
ejpam-3673	137	15	is	be	AUX
ejpam-3673	137	16	defined	define	VERB
ejpam-3673	137	17	by	by	ADP
ejpam-3673	137	18	shifting	shift	VERB
ejpam-3673	137	19	any	any	DET
ejpam-3673	137	20	complex	complex	ADJ
ejpam-3673	137	21	one	one	NUM
ejpam-3673	137	22	degree	degree	NOUN
ejpam-3673	137	23	to	to	ADP
ejpam-3673	137	24	the	the	DET
ejpam-3673	137	25	left	left	NOUN
ejpam-3673	137	26	.	.	PUNCT
ejpam-3673	138	1	more	more	ADV
ejpam-3673	138	2	precisely	precisely	ADV
ejpam-3673	138	3	,	,	PUNCT
ejpam-3673	138	4	for	for	ADP
ejpam-3673	138	5	an	an	DET
ejpam-3673	138	6	object	object	NOUN
ejpam-3673	138	7	x	x	PUNCT
ejpam-3673	138	8	=	=	SYM
ejpam-3673	138	9	(	(	PUNCT
ejpam-3673	138	10	xn	xn	PROPN
ejpam-3673	138	11	,	,	PUNCT
ejpam-3673	138	12	d	d	NOUN
ejpam-3673	138	13	x	x	PROPN
ejpam-3673	138	14	n	n	X
ejpam-3673	138	15	)	)	PUNCT
ejpam-3673	138	16	n∈z	n∈z	ADV
ejpam-3673	138	17	in	in	ADP
ejpam-3673	138	18	c	c	PROPN
ejpam-3673	138	19	(	(	PUNCT
ejpam-3673	138	20	r	r	NOUN
ejpam-3673	138	21	)	)	PUNCT
ejpam-3673	138	22	,	,	PUNCT
ejpam-3673	138	23	define	define	VERB
ejpam-3673	138	24	σx	σx	ADP
ejpam-3673	138	25	=	=	PUNCT
ejpam-3673	138	26	(	(	PUNCT
ejpam-3673	138	27	(	(	PUNCT
ejpam-3673	138	28	σx)n	σx)n	PROPN
ejpam-3673	138	29	,	,	PUNCT
ejpam-3673	138	30	d	d	NOUN
ejpam-3673	138	31	σx	σx	NOUN
ejpam-3673	138	32	n	n	PROPN
ejpam-3673	138	33	)	)	PUNCT
ejpam-3673	138	34	n∈z	n∈z	ADV
ejpam-3673	138	35	with	with	ADP
ejpam-3673	138	36	(	(	PUNCT
ejpam-3673	138	37	σx)n	σx)n	PROPN
ejpam-3673	138	38	=	=	SYM
ejpam-3673	138	39	xn−1	xn−1	PROPN
ejpam-3673	138	40	and	and	CCONJ
ejpam-3673	138	41	dσx	dσx	NOUN
ejpam-3673	138	42	n	n	CCONJ
ejpam-3673	138	43	=	=	SYM
ejpam-3673	138	44	−dxn−1	−dxn−1	ADJ
ejpam-3673	138	45	.	.	PUNCT
ejpam-3673	139	1	for	for	ADP
ejpam-3673	139	2	a	a	DET
ejpam-3673	139	3	morphism	morphism	NOUN
ejpam-3673	139	4	f	f	NOUN
ejpam-3673	139	5	:	:	PUNCT
ejpam-3673	139	6	x	x	PUNCT
ejpam-3673	139	7	−→	−→	NOUN
ejpam-3673	139	8	y	y	NOUN
ejpam-3673	139	9	in	in	ADP
ejpam-3673	139	10	c	c	PROPN
ejpam-3673	139	11	(	(	PUNCT
ejpam-3673	139	12	r	r	NOUN
ejpam-3673	139	13	)	)	PUNCT
ejpam-3673	139	14	,	,	PUNCT
ejpam-3673	139	15	set	set	VERB
ejpam-3673	139	16	σf	σf	NOUN
ejpam-3673	139	17	=	=	SYM
ejpam-3673	139	18	(	(	PUNCT
ejpam-3673	139	19	(	(	PUNCT
ejpam-3673	139	20	σf)n)n∈z	σf)n)n∈z	X
ejpam-3673	139	21	where	where	SCONJ
ejpam-3673	139	22	(	(	PUNCT
ejpam-3673	139	23	σf)n	σf)n	PROPN
ejpam-3673	139	24	=	=	SYM
ejpam-3673	139	25	fn−1	fn−1	PROPN
ejpam-3673	139	26	.	.	PUNCT
ejpam-3673	140	1	this	this	DET
ejpam-3673	140	2	functor	functor	PROPN
ejpam-3673	140	3	is	be	AUX
ejpam-3673	140	4	an	an	DET
ejpam-3673	140	5	additive	additive	ADJ
ejpam-3673	140	6	functor	functor	NOUN
ejpam-3673	140	7	,	,	PUNCT
ejpam-3673	140	8	i.e.	i.e.	X
ejpam-3673	140	9	for	for	SCONJ
ejpam-3673	140	10	every	every	DET
ejpam-3673	140	11	pair	pair	NOUN
ejpam-3673	140	12	objects	object	VERB
ejpam-3673	140	13	x	x	PRON
ejpam-3673	140	14	,	,	PUNCT
ejpam-3673	140	15	y	y	PROPN
ejpam-3673	140	16	in	in	ADP
ejpam-3673	140	17	c	c	PROPN
ejpam-3673	140	18	(	(	PUNCT
ejpam-3673	140	19	r	r	NOUN
ejpam-3673	140	20	)	)	PUNCT
ejpam-3673	140	21	the	the	DET
ejpam-3673	140	22	map	map	NOUN
ejpam-3673	140	23	hom(x	hom(x	PROPN
ejpam-3673	140	24	,	,	PUNCT
ejpam-3673	140	25	y	y	PROPN
ejpam-3673	140	26	)	)	PUNCT
ejpam-3673	140	27	−→	−→	NOUN
ejpam-3673	140	28	hom(σx	hom(σx	NOUN
ejpam-3673	140	29	,	,	PUNCT
ejpam-3673	140	30	σy	σy	NOUN
ejpam-3673	140	31	)	)	PUNCT
ejpam-3673	140	32	is	be	AUX
ejpam-3673	140	33	a	a	DET
ejpam-3673	140	34	morphism	morphism	NOUN
ejpam-3673	140	35	of	of	ADP
ejpam-3673	140	36	abelian	abelian	ADJ
ejpam-3673	140	37	groups	group	NOUN
ejpam-3673	140	38	.	.	PUNCT
ejpam-3673	141	1	moreover	moreover	ADV
ejpam-3673	141	2	it	it	PRON
ejpam-3673	141	3	is	be	AUX
ejpam-3673	141	4	an	an	DET
ejpam-3673	141	5	automorphism	automorphism	NOUN
ejpam-3673	141	6	of	of	ADP
ejpam-3673	141	7	the	the	DET
ejpam-3673	141	8	category	category	NOUN
ejpam-3673	141	9	c	c	NOUN
ejpam-3673	141	10	(	(	PUNCT
ejpam-3673	141	11	r	r	NOUN
ejpam-3673	141	12	)	)	PUNCT
ejpam-3673	141	13	,	,	PUNCT
ejpam-3673	141	14	where	where	SCONJ
ejpam-3673	141	15	the	the	DET
ejpam-3673	141	16	inverse	inverse	NOUN
ejpam-3673	141	17	is	be	AUX
ejpam-3673	141	18	given	give	VERB
ejpam-3673	141	19	by	by	ADP
ejpam-3673	141	20	(	(	PUNCT
ejpam-3673	141	21	right	right	ADJ
ejpam-3673	141	22	)	)	PUNCT
ejpam-3673	141	23	shift	shift	NOUN
ejpam-3673	141	24	.	.	PUNCT
ejpam-3673	142	1	to	to	PART
ejpam-3673	142	2	find	find	VERB
ejpam-3673	142	3	the	the	DET
ejpam-3673	142	4	set	set	NOUN
ejpam-3673	142	5	of	of	ADP
ejpam-3673	142	6	distinguished	distinguished	ADJ
ejpam-3673	142	7	triangles	triangle	NOUN
ejpam-3673	142	8	in	in	ADP
ejpam-3673	142	9	k	k	PROPN
ejpam-3673	142	10	(	(	PUNCT
ejpam-3673	142	11	r	r	NOUN
ejpam-3673	142	12	)	)	PUNCT
ejpam-3673	142	13	we	we	PRON
ejpam-3673	142	14	need	need	VERB
ejpam-3673	142	15	the	the	DET
ejpam-3673	142	16	following	follow	VERB
ejpam-3673	142	17	construction	construction	NOUN
ejpam-3673	142	18	of	of	ADP
ejpam-3673	142	19	the	the	DET
ejpam-3673	142	20	mapping	mapping	NOUN
ejpam-3673	142	21	cone	cone	NOUN
ejpam-3673	142	22	.	.	PUNCT
ejpam-3673	143	1	definition	definition	NOUN
ejpam-3673	143	2	5	5	NUM
ejpam-3673	143	3	(	(	PUNCT
ejpam-3673	143	4	[	[	X
ejpam-3673	143	5	14	14	NUM
ejpam-3673	143	6	]	]	NUM
ejpam-3673	143	7	)	)	PUNCT
ejpam-3673	143	8	.	.	PUNCT
ejpam-3673	144	1	let	let	VERB
ejpam-3673	144	2	f	f	NOUN
ejpam-3673	144	3	:	:	PUNCT
ejpam-3673	144	4	x	x	PUNCT
ejpam-3673	144	5	−→	−→	NOUN
ejpam-3673	144	6	y	y	NOUN
ejpam-3673	144	7	be	be	AUX
ejpam-3673	144	8	a	a	DET
ejpam-3673	144	9	morphism	morphism	NOUN
ejpam-3673	144	10	in	in	ADP
ejpam-3673	144	11	c	c	PROPN
ejpam-3673	144	12	(	(	PUNCT
ejpam-3673	144	13	r	r	NOUN
ejpam-3673	144	14	)	)	PUNCT
ejpam-3673	144	15	.	.	PUNCT
ejpam-3673	145	1	the	the	DET
ejpam-3673	145	2	mapping	mapping	NOUN
ejpam-3673	145	3	cone	cone	NOUN
ejpam-3673	145	4	of	of	ADP
ejpam-3673	145	5	f	f	PROPN
ejpam-3673	145	6	is	be	AUX
ejpam-3673	145	7	the	the	DET
ejpam-3673	145	8	object	object	NOUN
ejpam-3673	145	9	m	m	VERB
ejpam-3673	145	10	(	(	PUNCT
ejpam-3673	145	11	f	f	X
ejpam-3673	145	12	)	)	PUNCT
ejpam-3673	145	13	in	in	ADP
ejpam-3673	145	14	c	c	PROPN
ejpam-3673	145	15	(	(	PUNCT
ejpam-3673	145	16	r	r	NOUN
ejpam-3673	145	17	)	)	PUNCT
ejpam-3673	145	18	defined	define	VERB
ejpam-3673	145	19	by	by	ADP
ejpam-3673	145	20	m	m	PROPN
ejpam-3673	145	21	(	(	PUNCT
ejpam-3673	145	22	f)n	f)n	NOUN
ejpam-3673	145	23	=	=	SYM
ejpam-3673	145	24	xn−1	xn−1	PROPN
ejpam-3673	145	25	⊕	⊕	PROPN
ejpam-3673	145	26	yn	yn	PROPN
ejpam-3673	145	27	and	and	CCONJ
ejpam-3673	145	28	dm(f	dm(f	NOUN
ejpam-3673	145	29	)	)	PUNCT
ejpam-3673	145	30	n	n	NOUN
ejpam-3673	146	1	=	=	PUNCT
ejpam-3673	146	2	(	(	PUNCT
ejpam-3673	146	3	−dxn−1	−dxn−1	ADJ
ejpam-3673	146	4	0	0	NUM
ejpam-3673	146	5	fn−1	fn−1	ADJ
ejpam-3673	146	6	dyn	dyn	PROPN
ejpam-3673	146	7	)	)	PUNCT
ejpam-3673	146	8	(	(	PUNCT
ejpam-3673	146	9	19	19	NUM
ejpam-3673	146	10	)	)	PUNCT
ejpam-3673	147	1	g.	g.	PROPN
ejpam-3673	147	2	elfiyanti	elfiyanti	PROPN
ejpam-3673	147	3	et	et	PROPN
ejpam-3673	147	4	al	al	PROPN
ejpam-3673	147	5	.	.	PUNCT
ejpam-3673	147	6	/	/	SYM
ejpam-3673	147	7	eur	eur	PROPN
ejpam-3673	147	8	.	.	PUNCT
ejpam-3673	148	1	j.	j.	PROPN
ejpam-3673	148	2	pure	pure	PROPN
ejpam-3673	148	3	appl	appl	PROPN
ejpam-3673	148	4	.	.	PROPN
ejpam-3673	148	5	math	math	PROPN
ejpam-3673	148	6	,	,	PUNCT
ejpam-3673	148	7	13	13	NUM
ejpam-3673	148	8	(	(	PUNCT
ejpam-3673	148	9	2	2	NUM
ejpam-3673	148	10	)	)	PUNCT
ejpam-3673	148	11	(	(	PUNCT
ejpam-3673	148	12	2020	2020	NUM
ejpam-3673	148	13	)	)	PUNCT
ejpam-3673	148	14	,	,	PUNCT
ejpam-3673	148	15	323	323	NUM
ejpam-3673	148	16	-	-	SYM
ejpam-3673	148	17	345	345	NUM
ejpam-3673	148	18	329	329	NUM
ejpam-3673	148	19	the	the	DET
ejpam-3673	148	20	following	follow	VERB
ejpam-3673	148	21	morphisms	morphism	NOUN
ejpam-3673	148	22	are	be	AUX
ejpam-3673	148	23	canonical	canonical	ADJ
ejpam-3673	148	24	morphisms	morphism	NOUN
ejpam-3673	148	25	in	in	ADP
ejpam-3673	148	26	c	c	PROPN
ejpam-3673	148	27	(	(	PUNCT
ejpam-3673	148	28	r	r	NOUN
ejpam-3673	148	29	)	)	PUNCT
ejpam-3673	148	30	α	α	NOUN
ejpam-3673	148	31	(	(	PUNCT
ejpam-3673	148	32	f	f	NOUN
ejpam-3673	148	33	)	)	PUNCT
ejpam-3673	148	34	:	:	PUNCT
ejpam-3673	149	1	y	y	PROPN
ejpam-3673	149	2	−→m	−→m	INTJ
ejpam-3673	149	3	(	(	PUNCT
ejpam-3673	149	4	f	f	X
ejpam-3673	149	5	)	)	PUNCT
ejpam-3673	149	6	,	,	PUNCT
ejpam-3673	149	7	where	where	SCONJ
ejpam-3673	149	8	α	α	PROPN
ejpam-3673	149	9	(	(	PUNCT
ejpam-3673	149	10	f	f	X
ejpam-3673	149	11	)	)	PUNCT
ejpam-3673	149	12	=	=	SYM
ejpam-3673	149	13	(	(	PUNCT
ejpam-3673	149	14	0	0	NUM
ejpam-3673	149	15	1	1	NUM
ejpam-3673	149	16	)	)	PUNCT
ejpam-3673	149	17	(	(	PUNCT
ejpam-3673	149	18	20	20	NUM
ejpam-3673	149	19	)	)	PUNCT
ejpam-3673	149	20	β	β	X
ejpam-3673	149	21	(	(	PUNCT
ejpam-3673	149	22	f	f	X
ejpam-3673	149	23	)	)	PUNCT
ejpam-3673	149	24	:	:	PUNCT
ejpam-3673	150	1	m	m	VERB
ejpam-3673	150	2	(	(	PUNCT
ejpam-3673	150	3	f	f	X
ejpam-3673	150	4	)	)	PUNCT
ejpam-3673	150	5	−→	−→	NOUN
ejpam-3673	150	6	σx	σx	NOUN
ejpam-3673	150	7	,	,	PUNCT
ejpam-3673	150	8	where	where	SCONJ
ejpam-3673	150	9	β	β	X
ejpam-3673	150	10	(	(	PUNCT
ejpam-3673	150	11	f	f	X
ejpam-3673	150	12	)	)	PUNCT
ejpam-3673	150	13	=	=	NOUN
ejpam-3673	150	14	(	(	PUNCT
ejpam-3673	150	15	1	1	NUM
ejpam-3673	150	16	0	0	NUM
ejpam-3673	150	17	)	)	PUNCT
ejpam-3673	150	18	(	(	PUNCT
ejpam-3673	150	19	21	21	NUM
ejpam-3673	150	20	)	)	PUNCT
ejpam-3673	150	21	the	the	DET
ejpam-3673	150	22	morphisms	morphism	NOUN
ejpam-3673	150	23	above	above	ADV
ejpam-3673	150	24	are	be	AUX
ejpam-3673	150	25	also	also	ADV
ejpam-3673	150	26	well	well	ADV
ejpam-3673	150	27	-	-	PUNCT
ejpam-3673	150	28	defined	define	VERB
ejpam-3673	150	29	in	in	ADP
ejpam-3673	150	30	k	k	PROPN
ejpam-3673	150	31	(	(	PUNCT
ejpam-3673	150	32	r	r	NOUN
ejpam-3673	150	33	)	)	PUNCT
ejpam-3673	150	34	.	.	PUNCT
ejpam-3673	151	1	hence	hence	ADV
ejpam-3673	151	2	a	a	DET
ejpam-3673	151	3	distinguished	distinguished	ADJ
ejpam-3673	151	4	triangle	triangle	NOUN
ejpam-3673	151	5	in	in	ADP
ejpam-3673	151	6	k	k	PROPN
ejpam-3673	151	7	(	(	PUNCT
ejpam-3673	151	8	r	r	NOUN
ejpam-3673	151	9	)	)	PUNCT
ejpam-3673	151	10	can	can	AUX
ejpam-3673	151	11	be	be	AUX
ejpam-3673	151	12	defined	define	VERB
ejpam-3673	151	13	as	as	ADP
ejpam-3673	151	14	follow	follow	NOUN
ejpam-3673	151	15	.	.	PUNCT
ejpam-3673	152	1	definition	definition	NOUN
ejpam-3673	152	2	6	6	NUM
ejpam-3673	152	3	(	(	PUNCT
ejpam-3673	152	4	[	[	X
ejpam-3673	152	5	14	14	NUM
ejpam-3673	152	6	]	]	NUM
ejpam-3673	152	7	)	)	PUNCT
ejpam-3673	152	8	.	.	PUNCT
ejpam-3673	153	1	a	a	DET
ejpam-3673	153	2	standard	standard	ADJ
ejpam-3673	153	3	triangle	triangle	NOUN
ejpam-3673	153	4	in	in	ADP
ejpam-3673	153	5	k	k	PROPN
ejpam-3673	153	6	(	(	PUNCT
ejpam-3673	153	7	r	r	NOUN
ejpam-3673	153	8	)	)	PUNCT
ejpam-3673	153	9	is	be	AUX
ejpam-3673	153	10	a	a	DET
ejpam-3673	153	11	sequence	sequence	NOUN
ejpam-3673	153	12	x	x	PUNCT
ejpam-3673	153	13	y	y	PROPN
ejpam-3673	153	14	m(f	m(f	PROPN
ejpam-3673	153	15	)	)	PUNCT
ejpam-3673	153	16	σx	σx	ADP
ejpam-3673	153	17	f	f	PROPN
ejpam-3673	153	18	α(f	α(f	PROPN
ejpam-3673	153	19	)	)	PUNCT
ejpam-3673	153	20	β(f	β(f	NUM
ejpam-3673	153	21	)	)	PUNCT
ejpam-3673	153	22	(	(	PUNCT
ejpam-3673	153	23	22	22	NUM
ejpam-3673	153	24	)	)	PUNCT
ejpam-3673	153	25	a	a	DET
ejpam-3673	153	26	distinguished	distinguished	ADJ
ejpam-3673	153	27	triangle	triangle	NOUN
ejpam-3673	153	28	in	in	ADP
ejpam-3673	153	29	k	k	PROPN
ejpam-3673	153	30	(	(	PUNCT
ejpam-3673	153	31	r	r	NOUN
ejpam-3673	153	32	)	)	PUNCT
ejpam-3673	153	33	is	be	AUX
ejpam-3673	153	34	a	a	DET
ejpam-3673	153	35	triangle	triangle	NOUN
ejpam-3673	153	36	which	which	PRON
ejpam-3673	153	37	is	be	AUX
ejpam-3673	153	38	isomorphic	isomorphic	ADJ
ejpam-3673	153	39	(	(	PUNCT
ejpam-3673	153	40	in	in	ADP
ejpam-3673	153	41	k	k	PROPN
ejpam-3673	153	42	(	(	PUNCT
ejpam-3673	153	43	r	r	NOUN
ejpam-3673	153	44	)	)	PUNCT
ejpam-3673	153	45	)	)	PUNCT
ejpam-3673	153	46	to	to	ADP
ejpam-3673	153	47	a	a	DET
ejpam-3673	153	48	standard	standard	ADJ
ejpam-3673	153	49	triangle	triangle	NOUN
ejpam-3673	153	50	.	.	PUNCT
ejpam-3673	154	1	with	with	ADP
ejpam-3673	154	2	this	this	DET
ejpam-3673	154	3	class	class	NOUN
ejpam-3673	154	4	of	of	ADP
ejpam-3673	154	5	distinghuished	distinghuished	ADJ
ejpam-3673	154	6	triangles	triangle	NOUN
ejpam-3673	154	7	we	we	PRON
ejpam-3673	154	8	can	can	AUX
ejpam-3673	154	9	prove	prove	VERB
ejpam-3673	154	10	the	the	DET
ejpam-3673	154	11	following	follow	VERB
ejpam-3673	154	12	proposition	proposition	NOUN
ejpam-3673	154	13	.	.	PUNCT
ejpam-3673	155	1	proposition	proposition	NOUN
ejpam-3673	155	2	3	3	NUM
ejpam-3673	155	3	.	.	PUNCT
ejpam-3673	156	1	[	[	X
ejpam-3673	156	2	14]the	14]the	NUM
ejpam-3673	156	3	homotopy	homotopy	NOUN
ejpam-3673	156	4	category	category	NOUN
ejpam-3673	156	5	k	k	PROPN
ejpam-3673	156	6	(	(	PUNCT
ejpam-3673	156	7	r	r	NOUN
ejpam-3673	156	8	)	)	PUNCT
ejpam-3673	156	9	of	of	ADP
ejpam-3673	156	10	complexes	complex	NOUN
ejpam-3673	156	11	is	be	AUX
ejpam-3673	156	12	a	a	DET
ejpam-3673	156	13	triangulated	triangulate	VERB
ejpam-3673	156	14	category	category	NOUN
ejpam-3673	156	15	.	.	PUNCT
ejpam-3673	157	1	3	3	X
ejpam-3673	157	2	.	.	X
ejpam-3673	157	3	a	a	DET
ejpam-3673	157	4	generalization	generalization	NOUN
ejpam-3673	157	5	of	of	ADP
ejpam-3673	157	6	the	the	DET
ejpam-3673	157	7	category	category	NOUN
ejpam-3673	157	8	of	of	ADP
ejpam-3673	157	9	complexes	complex	NOUN
ejpam-3673	157	10	in	in	ADP
ejpam-3673	157	11	this	this	DET
ejpam-3673	157	12	section	section	NOUN
ejpam-3673	157	13	we	we	PRON
ejpam-3673	157	14	review	review	VERB
ejpam-3673	157	15	some	some	DET
ejpam-3673	157	16	results	result	NOUN
ejpam-3673	157	17	in	in	ADP
ejpam-3673	157	18	[	[	X
ejpam-3673	157	19	6	6	NUM
ejpam-3673	157	20	]	]	PUNCT
ejpam-3673	157	21	,	,	PUNCT
ejpam-3673	157	22	[	[	X
ejpam-3673	157	23	7	7	X
ejpam-3673	157	24	]	]	PUNCT
ejpam-3673	157	25	and	and	CCONJ
ejpam-3673	157	26	[	[	X
ejpam-3673	157	27	8	8	NUM
ejpam-3673	157	28	]	]	PUNCT
ejpam-3673	157	29	.	.	PUNCT
ejpam-3673	158	1	in	in	ADP
ejpam-3673	158	2	the	the	DET
ejpam-3673	158	3	first	first	ADJ
ejpam-3673	158	4	subsection	subsection	NOUN
ejpam-3673	158	5	we	we	PRON
ejpam-3673	158	6	also	also	ADV
ejpam-3673	158	7	provide	provide	VERB
ejpam-3673	158	8	a	a	DET
ejpam-3673	158	9	corrigendum	corrigendum	NOUN
ejpam-3673	158	10	to	to	ADP
ejpam-3673	158	11	[	[	X
ejpam-3673	158	12	8	8	NUM
ejpam-3673	158	13	]	]	X
ejpam-3673	158	14	.	.	PUNCT
ejpam-3673	159	1	3.1	3.1	NUM
ejpam-3673	159	2	.	.	PUNCT
ejpam-3673	160	1	the	the	DET
ejpam-3673	160	2	category	category	NOUN
ejpam-3673	160	3	of	of	ADP
ejpam-3673	160	4	u	u	NOUN
ejpam-3673	160	5	-	-	NOUN
ejpam-3673	160	6	complexes	complexe	VERB
ejpam-3673	160	7	a	a	DET
ejpam-3673	160	8	chain	chain	NOUN
ejpam-3673	160	9	u	u	NOUN
ejpam-3673	160	10	-	-	NOUN
ejpam-3673	160	11	complex	complex	ADJ
ejpam-3673	160	12	(	(	PUNCT
ejpam-3673	160	13	over	over	ADP
ejpam-3673	160	14	r	r	NOUN
ejpam-3673	160	15	-	-	PUNCT
ejpam-3673	160	16	mod	mod	NOUN
ejpam-3673	160	17	)	)	PUNCT
ejpam-3673	160	18	is	be	AUX
ejpam-3673	160	19	a	a	DET
ejpam-3673	160	20	family	family	NOUN
ejpam-3673	160	21	x	x	PUNCT
ejpam-3673	161	1	=	=	SYM
ejpam-3673	161	2	(	(	PUNCT
ejpam-3673	161	3	xn	xn	PROPN
ejpam-3673	161	4	,	,	PUNCT
ejpam-3673	161	5	u	u	NOUN
ejpam-3673	161	6	x	x	NOUN
ejpam-3673	161	7	n	n	PROPN
ejpam-3673	161	8	,	,	PUNCT
ejpam-3673	161	9	d	d	X
ejpam-3673	161	10	x	x	X
ejpam-3673	161	11	n	n	X
ejpam-3673	161	12	)	)	PUNCT
ejpam-3673	161	13	n∈z	n∈z	NUM
ejpam-3673	161	14	·	·	PUNCT
ejpam-3673	161	15	·	·	PUNCT
ejpam-3673	161	16	·	·	PUNCT
ejpam-3673	161	17	xn+1	xn+1	NUM
ejpam-3673	161	18	xn	xn	PUNCT
ejpam-3673	162	1	xn−1	xn−1	PROPN
ejpam-3673	162	2	xn−2	xn−2	PROPN
ejpam-3673	162	3	·	·	PUNCT
ejpam-3673	162	4	·	·	PUNCT
ejpam-3673	162	5	·	·	PUNCT
ejpam-3673	162	6	dxn+1	dxn+1	NOUN
ejpam-3673	162	7	dxn	dxn	VERB
ejpam-3673	162	8	dxn−1	dxn−1	PROPN
ejpam-3673	162	9	(	(	PUNCT
ejpam-3673	162	10	23	23	NUM
ejpam-3673	162	11	)	)	PUNCT
ejpam-3673	162	12	where	where	SCONJ
ejpam-3673	162	13	xn	xn	PROPN
ejpam-3673	162	14	and	and	CCONJ
ejpam-3673	162	15	uxn	uxn	ADJ
ejpam-3673	162	16	are	be	AUX
ejpam-3673	162	17	r	r	NOUN
ejpam-3673	162	18	-	-	PUNCT
ejpam-3673	162	19	modules	module	NOUN
ejpam-3673	162	20	,	,	PUNCT
ejpam-3673	162	21	uxn	uxn	ADJ
ejpam-3673	162	22	is	be	AUX
ejpam-3673	162	23	a	a	DET
ejpam-3673	162	24	submodule	submodule	NOUN
ejpam-3673	162	25	of	of	ADP
ejpam-3673	162	26	xn	xn	PROPN
ejpam-3673	162	27	,	,	PUNCT
ejpam-3673	162	28	and	and	CCONJ
ejpam-3673	162	29	dxn	dxn	VERB
ejpam-3673	162	30	:	:	PUNCT
ejpam-3673	162	31	xn	xn	PUNCT
ejpam-3673	163	1	−→	−→	PROPN
ejpam-3673	163	2	xn−1	xn−1	PROPN
ejpam-3673	163	3	are	be	AUX
ejpam-3673	163	4	r	r	NOUN
ejpam-3673	163	5	-	-	PUNCT
ejpam-3673	163	6	modules	module	NOUN
ejpam-3673	163	7	homomorphisms	homomorphism	NOUN
ejpam-3673	163	8	such	such	ADJ
ejpam-3673	163	9	that	that	PRON
ejpam-3673	163	10	for	for	ADP
ejpam-3673	163	11	all	all	DET
ejpam-3673	163	12	n	n	PRON
ejpam-3673	163	13	∈	∈	PROPN
ejpam-3673	164	1	z	z	NOUN
ejpam-3673	164	2	:	:	PUNCT
ejpam-3673	164	3	(	(	PUNCT
ejpam-3673	164	4	i	i	NOUN
ejpam-3673	164	5	)	)	PUNCT
ejpam-3673	164	6	dxn	dxn	PROPN
ejpam-3673	165	1	d	d	X
ejpam-3673	165	2	x	x	SYM
ejpam-3673	165	3	n+1	n+1	PROPN
ejpam-3673	165	4	(	(	PUNCT
ejpam-3673	165	5	xn+1	xn+1	NUM
ejpam-3673	165	6	)	)	PUNCT
ejpam-3673	165	7	⊆	⊆	NUM
ejpam-3673	165	8	uxn−1	uxn−1	PROPN
ejpam-3673	165	9	,	,	PUNCT
ejpam-3673	165	10	and	and	CCONJ
ejpam-3673	165	11	(	(	PUNCT
ejpam-3673	165	12	ii	ii	NOUN
ejpam-3673	165	13	)	)	PUNCT
ejpam-3673	166	1	i	i	PRON
ejpam-3673	166	2	m	m	VERB
ejpam-3673	166	3	(	(	PUNCT
ejpam-3673	166	4	dxn	dxn	PROPN
ejpam-3673	166	5	)	)	PUNCT
ejpam-3673	166	6	⊇	⊇	PROPN
ejpam-3673	166	7	uxn−1	uxn−1	PROPN
ejpam-3673	166	8	a	a	DET
ejpam-3673	166	9	morphism	morphism	NOUN
ejpam-3673	166	10	of	of	ADP
ejpam-3673	166	11	u	u	NOUN
ejpam-3673	166	12	-	-	NOUN
ejpam-3673	166	13	complexes	complex	NOUN
ejpam-3673	166	14	f	f	NOUN
ejpam-3673	166	15	:	:	PUNCT
ejpam-3673	166	16	x	x	X
ejpam-3673	166	17	→	→	SYM
ejpam-3673	166	18	y	y	PROPN
ejpam-3673	166	19	is	be	AUX
ejpam-3673	166	20	a	a	DET
ejpam-3673	166	21	family	family	NOUN
ejpam-3673	166	22	f	f	NOUN
ejpam-3673	167	1	=	=	PUNCT
ejpam-3673	167	2	(	(	PUNCT
ejpam-3673	167	3	fn	fn	NOUN
ejpam-3673	167	4	:	:	PUNCT
ejpam-3673	167	5	xn	xn	PUNCT
ejpam-3673	167	6	−→	−→	NOUN
ejpam-3673	167	7	yn)n∈z	yn)n∈z	NUM
ejpam-3673	167	8	of	of	ADP
ejpam-3673	167	9	rmodules	rmodule	NOUN
ejpam-3673	167	10	homomorphisms	homomorphism	VERB
ejpam-3673	167	11	such	such	ADJ
ejpam-3673	167	12	that	that	SCONJ
ejpam-3673	167	13	every	every	DET
ejpam-3673	167	14	rectangle	rectangle	NOUN
ejpam-3673	167	15	commutes	commute	NOUN
ejpam-3673	167	16	and	and	CCONJ
ejpam-3673	167	17	fn	fn	INTJ
ejpam-3673	167	18	(	(	PUNCT
ejpam-3673	167	19	uxn	uxn	ADJ
ejpam-3673	167	20	)	)	PUNCT
ejpam-3673	167	21	⊆	⊆	X
ejpam-3673	167	22	uyn	uyn	NOUN
ejpam-3673	167	23	for	for	ADP
ejpam-3673	167	24	all	all	DET
ejpam-3673	167	25	n	n	PRON
ejpam-3673	167	26	∈	∈	NOUN
ejpam-3673	167	27	z.	z.	NOUN
ejpam-3673	168	1	the	the	DET
ejpam-3673	168	2	morphism	morphism	PROPN
ejpam-3673	168	3	f	f	PROPN
ejpam-3673	168	4	is	be	AUX
ejpam-3673	168	5	called	call	VERB
ejpam-3673	168	6	an	an	DET
ejpam-3673	168	7	isomorphism	isomorphism	NOUN
ejpam-3673	168	8	of	of	ADP
ejpam-3673	168	9	u	u	NOUN
ejpam-3673	168	10	-complexes	-complexe	NOUN
ejpam-3673	168	11	if	if	SCONJ
ejpam-3673	168	12	each	each	PRON
ejpam-3673	168	13	fn	fn	NOUN
ejpam-3673	168	14	is	be	AUX
ejpam-3673	168	15	an	an	DET
ejpam-3673	168	16	r	r	NOUN
ejpam-3673	168	17	-	-	PUNCT
ejpam-3673	168	18	module	module	NOUN
ejpam-3673	168	19	isomorphism	isomorphism	NOUN
ejpam-3673	168	20	and	and	CCONJ
ejpam-3673	168	21	the	the	DET
ejpam-3673	168	22	sequence	sequence	NOUN
ejpam-3673	168	23	of	of	ADP
ejpam-3673	168	24	r	r	NOUN
ejpam-3673	168	25	-	-	PUNCT
ejpam-3673	168	26	module	module	NOUN
ejpam-3673	168	27	morphisms	morphism	NOUN
ejpam-3673	168	28	f−1	f−1	PROPN
ejpam-3673	168	29	=	=	PUNCT
ejpam-3673	168	30	(	(	PUNCT
ejpam-3673	168	31	f−1	f−1	PROPN
ejpam-3673	168	32	n	n	CCONJ
ejpam-3673	168	33	:	:	PUNCT
ejpam-3673	168	34	yn	yn	PROPN
ejpam-3673	168	35	−→	−→	NOUN
ejpam-3673	168	36	xn	xn	PROPN
ejpam-3673	168	37	)	)	PUNCT
ejpam-3673	169	1	n∈z	n∈z	PRON
ejpam-3673	169	2	is	be	AUX
ejpam-3673	169	3	also	also	ADV
ejpam-3673	169	4	a	a	DET
ejpam-3673	169	5	morphism	morphism	NOUN
ejpam-3673	169	6	of	of	ADP
ejpam-3673	169	7	u	u	NOUN
ejpam-3673	169	8	-	-	NOUN
ejpam-3673	169	9	complexes	complex	NOUN
ejpam-3673	169	10	.	.	PUNCT
ejpam-3673	170	1	the	the	DET
ejpam-3673	170	2	following	follow	VERB
ejpam-3673	170	3	are	be	AUX
ejpam-3673	170	4	examples	example	NOUN
ejpam-3673	170	5	of	of	ADP
ejpam-3673	170	6	chain	chain	NOUN
ejpam-3673	170	7	u	u	NOUN
ejpam-3673	170	8	-	-	NOUN
ejpam-3673	170	9	complexes	complex	NOUN
ejpam-3673	170	10	and	and	CCONJ
ejpam-3673	170	11	morphisms	morphism	NOUN
ejpam-3673	170	12	of	of	ADP
ejpam-3673	170	13	u	u	NOUN
ejpam-3673	170	14	-	-	NOUN
ejpam-3673	170	15	complexes	complex	NOUN
ejpam-3673	170	16	.	.	PUNCT
ejpam-3673	171	1	g.	g.	PROPN
ejpam-3673	171	2	elfiyanti	elfiyanti	PROPN
ejpam-3673	171	3	et	et	PROPN
ejpam-3673	171	4	al	al	PROPN
ejpam-3673	171	5	.	.	PUNCT
ejpam-3673	171	6	/	/	SYM
ejpam-3673	171	7	eur	eur	PROPN
ejpam-3673	171	8	.	.	PUNCT
ejpam-3673	172	1	j.	j.	PROPN
ejpam-3673	172	2	pure	pure	PROPN
ejpam-3673	172	3	appl	appl	PROPN
ejpam-3673	172	4	.	.	PROPN
ejpam-3673	172	5	math	math	PROPN
ejpam-3673	172	6	,	,	PUNCT
ejpam-3673	172	7	13	13	NUM
ejpam-3673	172	8	(	(	PUNCT
ejpam-3673	172	9	2	2	NUM
ejpam-3673	172	10	)	)	PUNCT
ejpam-3673	172	11	(	(	PUNCT
ejpam-3673	172	12	2020	2020	NUM
ejpam-3673	172	13	)	)	PUNCT
ejpam-3673	172	14	,	,	PUNCT
ejpam-3673	172	15	323	323	NUM
ejpam-3673	172	16	-	-	SYM
ejpam-3673	172	17	345	345	NUM
ejpam-3673	172	18	330	330	NUM
ejpam-3673	172	19	example	example	NOUN
ejpam-3673	172	20	1	1	NUM
ejpam-3673	172	21	.	.	PUNCT
ejpam-3673	173	1	(	(	PUNCT
ejpam-3673	173	2	i	i	NOUN
ejpam-3673	173	3	)	)	PUNCT
ejpam-3673	173	4	every	every	DET
ejpam-3673	173	5	chain	chain	NOUN
ejpam-3673	173	6	complex	complex	NOUN
ejpam-3673	173	7	is	be	AUX
ejpam-3673	173	8	a	a	DET
ejpam-3673	173	9	chain	chain	NOUN
ejpam-3673	173	10	u	u	NOUN
ejpam-3673	173	11	-	-	NOUN
ejpam-3673	173	12	complex	complex	ADJ
ejpam-3673	173	13	with	with	ADP
ejpam-3673	173	14	un	un	PROPN
ejpam-3673	173	15	=	=	PROPN
ejpam-3673	173	16	0	0	PROPN
ejpam-3673	173	17	for	for	SCONJ
ejpam-3673	173	18	all	all	DET
ejpam-3673	173	19	n	n	PRON
ejpam-3673	173	20	∈	∈	PROPN
ejpam-3673	173	21	z.	z.	PROPN
ejpam-3673	173	22	(	(	PUNCT
ejpam-3673	173	23	ii	ii	PROPN
ejpam-3673	173	24	)	)	PUNCT
ejpam-3673	173	25	suppose	suppose	VERB
ejpam-3673	173	26	we	we	PRON
ejpam-3673	173	27	have	have	VERB
ejpam-3673	173	28	the	the	DET
ejpam-3673	173	29	following	follow	VERB
ejpam-3673	173	30	sequence	sequence	NOUN
ejpam-3673	173	31	of	of	ADP
ejpam-3673	173	32	r	r	NOUN
ejpam-3673	173	33	-	-	PUNCT
ejpam-3673	173	34	modules	module	NOUN
ejpam-3673	173	35	and	and	CCONJ
ejpam-3673	173	36	r	r	NOUN
ejpam-3673	173	37	-	-	PUNCT
ejpam-3673	173	38	modules	module	NOUN
ejpam-3673	173	39	homomorphsim	homomorphsim	NOUN
ejpam-3673	173	40	·	·	PUNCT
ejpam-3673	173	41	·	·	PUNCT
ejpam-3673	173	42	·	·	PUNCT
ejpam-3673	174	1	xn+1	xn+1	NUM
ejpam-3673	174	2	xn	xn	PUNCT
ejpam-3673	175	1	xn−1	xn−1	PROPN
ejpam-3673	175	2	xn−2	xn−2	PROPN
ejpam-3673	175	3	·	·	PUNCT
ejpam-3673	175	4	·	·	PUNCT
ejpam-3673	175	5	·	·	PUNCT
ejpam-3673	175	6	dn+1	dn+1	PROPN
ejpam-3673	175	7	dn	dn	PROPN
ejpam-3673	175	8	dn−1	dn−1	PROPN
ejpam-3673	175	9	(	(	PUNCT
ejpam-3673	175	10	24	24	NUM
ejpam-3673	175	11	)	)	PUNCT
ejpam-3673	175	12	then	then	ADV
ejpam-3673	175	13	the	the	DET
ejpam-3673	175	14	families	family	NOUN
ejpam-3673	175	15	x	x	PUNCT
ejpam-3673	175	16	=	=	SYM
ejpam-3673	175	17	(	(	PUNCT
ejpam-3673	175	18	xn	xn	PROPN
ejpam-3673	175	19	,	,	PUNCT
ejpam-3673	175	20	dn+1dn+2	dn+1dn+2	INTJ
ejpam-3673	175	21	(	(	PUNCT
ejpam-3673	175	22	xn+2	xn+2	NUM
ejpam-3673	175	23	)	)	PUNCT
ejpam-3673	175	24	,	,	PUNCT
ejpam-3673	175	25	dn)n∈z	dn)n∈z	PROPN
ejpam-3673	175	26	and	and	CCONJ
ejpam-3673	175	27	y	y	PROPN
ejpam-3673	175	28	=	=	SYM
ejpam-3673	175	29	(	(	PUNCT
ejpam-3673	175	30	xn	xn	PROPN
ejpam-3673	175	31	,	,	PUNCT
ejpam-3673	175	32	dn	dn	PROPN
ejpam-3673	175	33	(	(	PUNCT
ejpam-3673	175	34	xn	xn	PROPN
ejpam-3673	175	35	)	)	PUNCT
ejpam-3673	175	36	,	,	PUNCT
ejpam-3673	175	37	dn)n∈z	dn)n∈z	PROPN
ejpam-3673	175	38	are	be	AUX
ejpam-3673	175	39	chain	chain	NOUN
ejpam-3673	175	40	u	u	NOUN
ejpam-3673	175	41	-	-	NOUN
ejpam-3673	175	42	complexes	complex	NOUN
ejpam-3673	175	43	.	.	PUNCT
ejpam-3673	176	1	a	a	DET
ejpam-3673	176	2	morphsim	morphsim	NOUN
ejpam-3673	176	3	f	f	X
ejpam-3673	176	4	:	:	PUNCT
ejpam-3673	176	5	x	x	PUNCT
ejpam-3673	176	6	−→	−→	NOUN
ejpam-3673	176	7	y	y	PROPN
ejpam-3673	176	8	defined	define	VERB
ejpam-3673	176	9	by	by	ADP
ejpam-3673	176	10	fn	fn	NOUN
ejpam-3673	176	11	=	=	SYM
ejpam-3673	176	12	1	1	NUM
ejpam-3673	176	13	is	be	AUX
ejpam-3673	176	14	a	a	DET
ejpam-3673	176	15	morphism	morphism	NOUN
ejpam-3673	176	16	of	of	ADP
ejpam-3673	176	17	u	u	NOUN
ejpam-3673	176	18	-	-	NOUN
ejpam-3673	176	19	complexes	complex	NOUN
ejpam-3673	176	20	,	,	PUNCT
ejpam-3673	176	21	but	but	CCONJ
ejpam-3673	176	22	generally	generally	ADV
ejpam-3673	176	23	it	it	PRON
ejpam-3673	176	24	is	be	AUX
ejpam-3673	176	25	not	not	PART
ejpam-3673	176	26	an	an	DET
ejpam-3673	176	27	isomorphism	isomorphism	NOUN
ejpam-3673	176	28	of	of	ADP
ejpam-3673	176	29	u	u	NOUN
ejpam-3673	176	30	-	-	NOUN
ejpam-3673	176	31	complexes	complex	NOUN
ejpam-3673	176	32	.	.	PUNCT
ejpam-3673	177	1	suppose	suppose	VERB
ejpam-3673	178	1	f	f	X
ejpam-3673	178	2	=	=	PRON
ejpam-3673	178	3	(	(	PUNCT
ejpam-3673	178	4	fn	fn	NOUN
ejpam-3673	178	5	:	:	PUNCT
ejpam-3673	178	6	xn	xn	PUNCT
ejpam-3673	178	7	−→	−→	NOUN
ejpam-3673	178	8	yn)n∈z	yn)n∈z	NUM
ejpam-3673	178	9	and	and	CCONJ
ejpam-3673	178	10	g	g	NOUN
ejpam-3673	178	11	=	=	PUNCT
ejpam-3673	178	12	(	(	PUNCT
ejpam-3673	178	13	gn	gn	INTJ
ejpam-3673	178	14	:	:	PUNCT
ejpam-3673	178	15	yn	yn	PROPN
ejpam-3673	178	16	−→	−→	PROPN
ejpam-3673	178	17	zn)n∈z	zn)n∈z	NUM
ejpam-3673	178	18	are	be	AUX
ejpam-3673	178	19	morphisms	morphism	NOUN
ejpam-3673	178	20	of	of	ADP
ejpam-3673	178	21	u	u	NOUN
ejpam-3673	178	22	-	-	NOUN
ejpam-3673	178	23	complexes	complex	NOUN
ejpam-3673	178	24	,	,	PUNCT
ejpam-3673	178	25	then	then	ADV
ejpam-3673	178	26	it	it	PRON
ejpam-3673	178	27	is	be	AUX
ejpam-3673	178	28	clear	clear	ADJ
ejpam-3673	178	29	that	that	SCONJ
ejpam-3673	178	30	gf	gf	PROPN
ejpam-3673	178	31	=	=	SYM
ejpam-3673	178	32	(	(	PUNCT
ejpam-3673	178	33	gnfn	gnfn	PROPN
ejpam-3673	178	34	:	:	PUNCT
ejpam-3673	178	35	xn	xn	PUNCT
ejpam-3673	179	1	−→	−→	PROPN
ejpam-3673	179	2	zn)n∈z	zn)n∈z	PROPN
ejpam-3673	179	3	is	be	AUX
ejpam-3673	179	4	also	also	ADV
ejpam-3673	179	5	a	a	DET
ejpam-3673	179	6	morphism	morphism	NOUN
ejpam-3673	179	7	of	of	ADP
ejpam-3673	179	8	u	u	NOUN
ejpam-3673	179	9	-	-	NOUN
ejpam-3673	179	10	complexes	complex	NOUN
ejpam-3673	179	11	.	.	PUNCT
ejpam-3673	180	1	we	we	PRON
ejpam-3673	180	2	define	define	VERB
ejpam-3673	180	3	the	the	DET
ejpam-3673	180	4	category	category	NOUN
ejpam-3673	180	5	of	of	ADP
ejpam-3673	180	6	u	u	NOUN
ejpam-3673	180	7	-	-	NOUN
ejpam-3673	180	8	complexes	complex	NOUN
ejpam-3673	180	9	,	,	PUNCT
ejpam-3673	180	10	denote	denote	VERB
ejpam-3673	180	11	by	by	ADP
ejpam-3673	180	12	u	u	NOUN
ejpam-3673	180	13	-	-	PROPN
ejpam-3673	180	14	c	c	NOUN
ejpam-3673	180	15	(	(	PUNCT
ejpam-3673	180	16	r	r	NOUN
ejpam-3673	180	17	)	)	PUNCT
ejpam-3673	180	18	,	,	PUNCT
ejpam-3673	180	19	as	as	ADP
ejpam-3673	180	20	a	a	DET
ejpam-3673	180	21	category	category	NOUN
ejpam-3673	180	22	whose	whose	DET
ejpam-3673	180	23	objects	object	NOUN
ejpam-3673	180	24	are	be	AUX
ejpam-3673	180	25	chain	chain	NOUN
ejpam-3673	180	26	u	u	NOUN
ejpam-3673	180	27	-	-	NOUN
ejpam-3673	180	28	complexes	complex	NOUN
ejpam-3673	180	29	and	and	CCONJ
ejpam-3673	180	30	the	the	DET
ejpam-3673	180	31	morphisms	morphism	NOUN
ejpam-3673	180	32	are	be	AUX
ejpam-3673	180	33	morphism	morphism	NOUN
ejpam-3673	180	34	of	of	ADP
ejpam-3673	180	35	u	u	NOUN
ejpam-3673	180	36	-	-	NOUN
ejpam-3673	180	37	complexes	complex	NOUN
ejpam-3673	180	38	.	.	PUNCT
ejpam-3673	181	1	this	this	DET
ejpam-3673	181	2	category	category	NOUN
ejpam-3673	181	3	is	be	AUX
ejpam-3673	181	4	an	an	DET
ejpam-3673	181	5	additive	additive	ADJ
ejpam-3673	181	6	category	category	NOUN
ejpam-3673	181	7	.	.	PUNCT
ejpam-3673	182	1	in	in	ADP
ejpam-3673	182	2	[	[	X
ejpam-3673	182	3	8	8	NUM
ejpam-3673	182	4	]	]	PUNCT
ejpam-3673	182	5	,	,	PUNCT
ejpam-3673	182	6	we	we	PRON
ejpam-3673	182	7	also	also	ADV
ejpam-3673	182	8	stated	state	VERB
ejpam-3673	182	9	that	that	SCONJ
ejpam-3673	182	10	u	u	NOUN
ejpam-3673	182	11	-	-	PROPN
ejpam-3673	182	12	c	c	ADJ
ejpam-3673	182	13	(	(	PUNCT
ejpam-3673	182	14	r	r	NOUN
ejpam-3673	182	15	)	)	PUNCT
ejpam-3673	182	16	is	be	AUX
ejpam-3673	182	17	an	an	DET
ejpam-3673	182	18	abelian	abelian	ADJ
ejpam-3673	182	19	category	category	NOUN
ejpam-3673	182	20	by	by	ADP
ejpam-3673	182	21	claiming	claim	VERB
ejpam-3673	182	22	the	the	DET
ejpam-3673	182	23	kernel	kernel	NOUN
ejpam-3673	182	24	of	of	ADP
ejpam-3673	182	25	a	a	DET
ejpam-3673	182	26	morphism	morphism	NOUN
ejpam-3673	182	27	u	u	NOUN
ejpam-3673	182	28	-	-	NOUN
ejpam-3673	182	29	complexes	complex	NOUN
ejpam-3673	182	30	f	f	NOUN
ejpam-3673	182	31	:	:	PUNCT
ejpam-3673	182	32	x	x	PUNCT
ejpam-3673	182	33	−→	−→	NOUN
ejpam-3673	182	34	y	y	PROPN
ejpam-3673	182	35	is	be	AUX
ejpam-3673	182	36	k	k	PROPN
ejpam-3673	182	37	=	=	PUNCT
ejpam-3673	182	38	(	(	PUNCT
ejpam-3673	182	39	kn	kn	PROPN
ejpam-3673	182	40	,	,	PUNCT
ejpam-3673	182	41	u	u	NOUN
ejpam-3673	182	42	k	k	PROPN
ejpam-3673	182	43	n	n	PROPN
ejpam-3673	182	44	,	,	PUNCT
ejpam-3673	183	1	d	d	PROPN
ejpam-3673	183	2	k	k	PROPN
ejpam-3673	183	3	n	n	PROPN
ejpam-3673	183	4	)	)	PUNCT
ejpam-3673	183	5	n∈z	n∈z	ADV
ejpam-3673	183	6	with	with	ADP
ejpam-3673	183	7	kn	kn	PROPN
ejpam-3673	183	8	=	=	PUNCT
ejpam-3673	183	9	ker	ker	PROPN
ejpam-3673	184	1	fn	fn	NOUN
ejpam-3673	185	1	=	=	SYM
ejpam-3673	185	2	{	{	PUNCT
ejpam-3673	185	3	x	x	SYM
ejpam-3673	185	4	∈	∈	PROPN
ejpam-3673	185	5	xn	xn	PUNCT
ejpam-3673	186	1	|	|	ADV
ejpam-3673	186	2	fn	fn	INTJ
ejpam-3673	186	3	(	(	PUNCT
ejpam-3673	186	4	x	x	NOUN
ejpam-3673	186	5	)	)	PUNCT
ejpam-3673	186	6	=	=	SYM
ejpam-3673	186	7	0	0	NUM
ejpam-3673	186	8	}	}	PUNCT
ejpam-3673	186	9	,	,	PUNCT
ejpam-3673	186	10	ukn	ukn	PROPN
ejpam-3673	186	11	=	=	PUNCT
ejpam-3673	186	12	(	(	PUNCT
ejpam-3673	186	13	dkn+1d	dkn+1d	NOUN
ejpam-3673	186	14	k	k	X
ejpam-3673	186	15	n+2	n+2	NOUN
ejpam-3673	186	16	)	)	PUNCT
ejpam-3673	186	17	(	(	PUNCT
ejpam-3673	186	18	kn+2	kn+2	X
ejpam-3673	186	19	)	)	PUNCT
ejpam-3673	186	20	(	(	PUNCT
ejpam-3673	186	21	25	25	NUM
ejpam-3673	186	22	)	)	PUNCT
ejpam-3673	186	23	and	and	CCONJ
ejpam-3673	186	24	dkn	dkn	NOUN
ejpam-3673	186	25	is	be	AUX
ejpam-3673	186	26	the	the	DET
ejpam-3673	186	27	resitriction	resitriction	NOUN
ejpam-3673	186	28	of	of	ADP
ejpam-3673	186	29	dxn	dxn	PROPN
ejpam-3673	186	30	on	on	ADP
ejpam-3673	186	31	kn	kn	PROPN
ejpam-3673	186	32	.	.	PUNCT
ejpam-3673	187	1	but	but	CCONJ
ejpam-3673	187	2	in	in	ADP
ejpam-3673	187	3	the	the	DET
ejpam-3673	187	4	following	following	ADJ
ejpam-3673	187	5	example	example	NOUN
ejpam-3673	187	6	we	we	PRON
ejpam-3673	187	7	can	can	AUX
ejpam-3673	187	8	see	see	VERB
ejpam-3673	187	9	that	that	SCONJ
ejpam-3673	187	10	generally	generally	ADV
ejpam-3673	187	11	it	it	PRON
ejpam-3673	187	12	does	do	AUX
ejpam-3673	187	13	not	not	PART
ejpam-3673	187	14	satisfy	satisfy	VERB
ejpam-3673	187	15	the	the	DET
ejpam-3673	187	16	universal	universal	ADJ
ejpam-3673	187	17	property	property	NOUN
ejpam-3673	187	18	of	of	ADP
ejpam-3673	187	19	kernel	kernel	NOUN
ejpam-3673	187	20	.	.	PUNCT
ejpam-3673	188	1	hence	hence	ADV
ejpam-3673	188	2	we	we	PRON
ejpam-3673	188	3	can	can	AUX
ejpam-3673	188	4	not	not	PART
ejpam-3673	188	5	conclude	conclude	VERB
ejpam-3673	188	6	that	that	SCONJ
ejpam-3673	188	7	u	u	NOUN
ejpam-3673	188	8	-	-	PROPN
ejpam-3673	188	9	c	c	X
ejpam-3673	188	10	(	(	PUNCT
ejpam-3673	188	11	r	r	NOUN
ejpam-3673	188	12	)	)	PUNCT
ejpam-3673	188	13	is	be	AUX
ejpam-3673	188	14	an	an	DET
ejpam-3673	188	15	abelian	abelian	ADJ
ejpam-3673	188	16	category	category	NOUN
ejpam-3673	188	17	by	by	ADP
ejpam-3673	188	18	defining	define	VERB
ejpam-3673	188	19	the	the	DET
ejpam-3673	188	20	kernel	kernel	NOUN
ejpam-3673	188	21	as	as	ADP
ejpam-3673	188	22	in	in	ADP
ejpam-3673	188	23	(	(	PUNCT
ejpam-3673	188	24	25	25	NUM
ejpam-3673	188	25	)	)	PUNCT
ejpam-3673	188	26	.	.	PUNCT
ejpam-3673	189	1	example	example	NOUN
ejpam-3673	190	1	2	2	NUM
ejpam-3673	190	2	.	.	PUNCT
ejpam-3673	190	3	suppose	suppose	VERB
ejpam-3673	190	4	x	x	PRON
ejpam-3673	190	5	be	be	AUX
ejpam-3673	190	6	the	the	DET
ejpam-3673	190	7	chain	chain	NOUN
ejpam-3673	190	8	u	u	NOUN
ejpam-3673	190	9	-	-	ADJ
ejpam-3673	190	10	complex	complex	NOUN
ejpam-3673	190	11	defined	define	VERB
ejpam-3673	190	12	by	by	ADP
ejpam-3673	190	13	x0	x0	PROPN
ejpam-3673	190	14	=	=	PUNCT
ejpam-3673	191	1	x−1	x−1	PROPN
ejpam-3673	191	2	=	=	PUNCT
ejpam-3673	191	3	z	z	PROPN
ejpam-3673	191	4	and	and	CCONJ
ejpam-3673	191	5	zero	zero	NUM
ejpam-3673	191	6	otherwise	otherwise	ADV
ejpam-3673	191	7	,	,	PUNCT
ejpam-3673	191	8	dx0	dx0	NOUN
ejpam-3673	191	9	=	=	SYM
ejpam-3673	191	10	1	1	NUM
ejpam-3673	191	11	and	and	CCONJ
ejpam-3673	191	12	zero	zero	NUM
ejpam-3673	191	13	otherwise	otherwise	ADV
ejpam-3673	191	14	,	,	PUNCT
ejpam-3673	191	15	ux−1	ux−1	NOUN
ejpam-3673	191	16	=	=	SYM
ejpam-3673	191	17	z	z	NOUN
ejpam-3673	191	18	and	and	CCONJ
ejpam-3673	191	19	zero	zero	NUM
ejpam-3673	191	20	otherwise	otherwise	ADV
ejpam-3673	191	21	.	.	PUNCT
ejpam-3673	192	1	let	let	VERB
ejpam-3673	192	2	y	y	PRON
ejpam-3673	192	3	be	be	AUX
ejpam-3673	192	4	the	the	DET
ejpam-3673	192	5	chain	chain	NOUN
ejpam-3673	192	6	u	u	NOUN
ejpam-3673	192	7	-	-	ADJ
ejpam-3673	192	8	complex	complex	NOUN
ejpam-3673	192	9	defined	define	VERB
ejpam-3673	192	10	by	by	ADP
ejpam-3673	192	11	shifting	shift	VERB
ejpam-3673	192	12	x	x	PUNCT
ejpam-3673	192	13	one	one	NUM
ejpam-3673	192	14	degree	degree	NOUN
ejpam-3673	192	15	to	to	ADP
ejpam-3673	192	16	the	the	DET
ejpam-3673	192	17	left	left	NOUN
ejpam-3673	192	18	.	.	PUNCT
ejpam-3673	193	1	if	if	SCONJ
ejpam-3673	193	2	f	f	PROPN
ejpam-3673	193	3	:	:	PUNCT
ejpam-3673	193	4	x	x	PUNCT
ejpam-3673	193	5	−→	−→	NOUN
ejpam-3673	193	6	y	y	PROPN
ejpam-3673	193	7	is	be	AUX
ejpam-3673	193	8	defined	define	VERB
ejpam-3673	193	9	by	by	ADP
ejpam-3673	193	10	f0	f0	PROPN
ejpam-3673	193	11	=	=	PROPN
ejpam-3673	193	12	1	1	NUM
ejpam-3673	193	13	and	and	CCONJ
ejpam-3673	193	14	zero	zero	NUM
ejpam-3673	193	15	otherwise	otherwise	ADV
ejpam-3673	193	16	,	,	PUNCT
ejpam-3673	193	17	then	then	ADV
ejpam-3673	193	18	we	we	PRON
ejpam-3673	193	19	have	have	VERB
ejpam-3673	193	20	k	k	NOUN
ejpam-3673	193	21	=	=	NOUN
ejpam-3673	193	22	x	x	PUNCT
ejpam-3673	193	23	as	as	SCONJ
ejpam-3673	193	24	follow	follow	VERB
ejpam-3673	193	25	:	:	PUNCT
ejpam-3673	194	1	k	k	X
ejpam-3673	194	2	:	:	PUNCT
ejpam-3673	194	3	0	0	NUM
ejpam-3673	194	4	0	0	NUM
ejpam-3673	194	5	0	0	NUM
ejpam-3673	194	6	0	0	NUM
ejpam-3673	194	7	⊆	⊆	NUM
ejpam-3673	194	8	z	z	NOUN
ejpam-3673	194	9	0	0	NUM
ejpam-3673	194	10	x	x	X
ejpam-3673	194	11	:	:	PUNCT
ejpam-3673	194	12	0	0	NUM
ejpam-3673	194	13	0	0	NUM
ejpam-3673	194	14	0	0	PUNCT
ejpam-3673	195	1	⊂	⊂	PROPN
ejpam-3673	195	2	z	z	NOUN
ejpam-3673	195	3	z	z	PROPN
ejpam-3673	196	1	⊆	⊆	NUM
ejpam-3673	196	2	z	z	NOUN
ejpam-3673	196	3	0	0	PUNCT
ejpam-3673	196	4	y	y	NOUN
ejpam-3673	196	5	:	:	PUNCT
ejpam-3673	196	6	0	0	NUM
ejpam-3673	196	7	0	0	X
ejpam-3673	197	1	⊂	⊂	PROPN
ejpam-3673	197	2	z	z	X
ejpam-3673	197	3	z	z	PROPN
ejpam-3673	198	1	⊆	⊆	NUM
ejpam-3673	198	2	z	z	NOUN
ejpam-3673	198	3	0	0	NUM
ejpam-3673	198	4	0	0	NUM
ejpam-3673	199	1	k	k	NOUN
ejpam-3673	199	2	1	1	NUM
ejpam-3673	199	3	f	f	NOUN
ejpam-3673	199	4	1	1	NUM
ejpam-3673	199	5	1	1	NUM
ejpam-3673	199	6	1	1	NUM
ejpam-3673	199	7	(	(	PUNCT
ejpam-3673	199	8	26	26	NUM
ejpam-3673	199	9	)	)	PUNCT
ejpam-3673	199	10	let	let	VERB
ejpam-3673	199	11	l	l	NOUN
ejpam-3673	199	12	=	=	PUNCT
ejpam-3673	200	1	x	x	NOUN
ejpam-3673	200	2	,	,	PUNCT
ejpam-3673	200	3	then	then	ADV
ejpam-3673	200	4	l	l	NOUN
ejpam-3673	200	5	:	:	PUNCT
ejpam-3673	200	6	l	l	NOUN
ejpam-3673	200	7	−→	−→	NOUN
ejpam-3673	200	8	x	x	PUNCT
ejpam-3673	200	9	defined	define	VERB
ejpam-3673	200	10	by	by	ADP
ejpam-3673	200	11	l−1	l−1	PROPN
ejpam-3673	200	12	=	=	SYM
ejpam-3673	200	13	1	1	NUM
ejpam-3673	200	14	and	and	CCONJ
ejpam-3673	200	15	zero	zero	NUM
ejpam-3673	200	16	otherwise	otherwise	ADV
ejpam-3673	200	17	is	be	AUX
ejpam-3673	200	18	a	a	DET
ejpam-3673	200	19	morphism	morphism	NOUN
ejpam-3673	200	20	of	of	ADP
ejpam-3673	200	21	g.	g.	PROPN
ejpam-3673	200	22	elfiyanti	elfiyanti	PROPN
ejpam-3673	200	23	et	et	PROPN
ejpam-3673	200	24	al	al	PROPN
ejpam-3673	200	25	.	.	PUNCT
ejpam-3673	200	26	/	/	SYM
ejpam-3673	200	27	eur	eur	PROPN
ejpam-3673	200	28	.	.	PUNCT
ejpam-3673	201	1	j.	j.	PROPN
ejpam-3673	201	2	pure	pure	PROPN
ejpam-3673	201	3	appl	appl	PROPN
ejpam-3673	201	4	.	.	PROPN
ejpam-3673	201	5	math	math	PROPN
ejpam-3673	201	6	,	,	PUNCT
ejpam-3673	201	7	13	13	NUM
ejpam-3673	201	8	(	(	PUNCT
ejpam-3673	201	9	2	2	NUM
ejpam-3673	201	10	)	)	PUNCT
ejpam-3673	201	11	(	(	PUNCT
ejpam-3673	201	12	2020	2020	NUM
ejpam-3673	201	13	)	)	PUNCT
ejpam-3673	201	14	,	,	PUNCT
ejpam-3673	201	15	323	323	NUM
ejpam-3673	201	16	-	-	SYM
ejpam-3673	201	17	345	345	NUM
ejpam-3673	201	18	331	331	NUM
ejpam-3673	201	19	u	u	NOUN
ejpam-3673	201	20	-	-	NOUN
ejpam-3673	201	21	complexes	complex	NOUN
ejpam-3673	201	22	,	,	PUNCT
ejpam-3673	201	23	moreover	moreover	ADV
ejpam-3673	201	24	fl	fl	ADJ
ejpam-3673	201	25	=	=	NOUN
ejpam-3673	201	26	0	0	PROPN
ejpam-3673	201	27	.	.	PUNCT
ejpam-3673	202	1	k	k	X
ejpam-3673	202	2	:	:	PUNCT
ejpam-3673	203	1	0	0	NUM
ejpam-3673	203	2	0	0	NUM
ejpam-3673	203	3	0	0	NUM
ejpam-3673	203	4	0	0	PUNCT
ejpam-3673	204	1	⊂	⊂	PROPN
ejpam-3673	204	2	z	z	NOUN
ejpam-3673	204	3	0	0	NUM
ejpam-3673	205	1	l	l	NOUN
ejpam-3673	205	2	:	:	PUNCT
ejpam-3673	205	3	0	0	NUM
ejpam-3673	205	4	0	0	NUM
ejpam-3673	205	5	0	0	PUNCT
ejpam-3673	206	1	⊂	⊂	PROPN
ejpam-3673	206	2	z	z	NOUN
ejpam-3673	206	3	z	z	PROPN
ejpam-3673	207	1	⊆	⊆	NUM
ejpam-3673	207	2	z	z	NOUN
ejpam-3673	207	3	0	0	NUM
ejpam-3673	207	4	x	x	X
ejpam-3673	207	5	:	:	PUNCT
ejpam-3673	207	6	0	0	NUM
ejpam-3673	207	7	0	0	NUM
ejpam-3673	207	8	0	0	PUNCT
ejpam-3673	208	1	⊂	⊂	PROPN
ejpam-3673	208	2	z	z	NOUN
ejpam-3673	208	3	z	z	PROPN
ejpam-3673	209	1	⊆	⊆	NUM
ejpam-3673	209	2	z	z	NOUN
ejpam-3673	209	3	0	0	PUNCT
ejpam-3673	209	4	y	y	NOUN
ejpam-3673	209	5	:	:	PUNCT
ejpam-3673	209	6	0	0	NUM
ejpam-3673	209	7	0	0	X
ejpam-3673	210	1	⊂	⊂	PROPN
ejpam-3673	210	2	z	z	X
ejpam-3673	210	3	z	z	PROPN
ejpam-3673	211	1	⊆	⊆	NUM
ejpam-3673	211	2	z	z	NOUN
ejpam-3673	211	3	0	0	NUM
ejpam-3673	211	4	0	0	NUM
ejpam-3673	212	1	k	k	NOUN
ejpam-3673	212	2	g	g	PROPN
ejpam-3673	212	3	l	l	NOUN
ejpam-3673	212	4	1	1	NUM
ejpam-3673	212	5	1	1	NUM
ejpam-3673	212	6	1	1	NUM
ejpam-3673	212	7	f	f	NOUN
ejpam-3673	212	8	1	1	NUM
ejpam-3673	212	9	1	1	NUM
ejpam-3673	212	10	1	1	NUM
ejpam-3673	212	11	(	(	PUNCT
ejpam-3673	212	12	27	27	NUM
ejpam-3673	212	13	)	)	PUNCT
ejpam-3673	212	14	the	the	DET
ejpam-3673	212	15	morphism	morphism	NOUN
ejpam-3673	212	16	g	g	PROPN
ejpam-3673	212	17	:	:	PUNCT
ejpam-3673	212	18	l	l	NOUN
ejpam-3673	212	19	−→	−→	NOUN
ejpam-3673	212	20	x	x	PUNCT
ejpam-3673	212	21	defined	define	VERB
ejpam-3673	212	22	by	by	ADP
ejpam-3673	212	23	g−1	g−1	PROPN
ejpam-3673	212	24	=	=	SYM
ejpam-3673	212	25	1	1	NUM
ejpam-3673	212	26	and	and	CCONJ
ejpam-3673	212	27	zero	zero	NUM
ejpam-3673	212	28	otherwise	otherwise	ADV
ejpam-3673	212	29	is	be	AUX
ejpam-3673	212	30	the	the	DET
ejpam-3673	212	31	only	only	ADJ
ejpam-3673	212	32	morphism	morphism	NOUN
ejpam-3673	212	33	such	such	ADJ
ejpam-3673	212	34	that	that	SCONJ
ejpam-3673	212	35	kg	kg	NOUN
ejpam-3673	212	36	=	=	SYM
ejpam-3673	212	37	l	l	NOUN
ejpam-3673	212	38	,	,	PUNCT
ejpam-3673	212	39	but	but	CCONJ
ejpam-3673	212	40	g	g	NOUN
ejpam-3673	212	41	is	be	AUX
ejpam-3673	212	42	not	not	PART
ejpam-3673	212	43	a	a	DET
ejpam-3673	212	44	morphism	morphism	NOUN
ejpam-3673	212	45	of	of	ADP
ejpam-3673	212	46	u	u	NOUN
ejpam-3673	212	47	-	-	NOUN
ejpam-3673	212	48	complexes	complex	NOUN
ejpam-3673	212	49	since	since	SCONJ
ejpam-3673	212	50	g	g	PROPN
ejpam-3673	212	51	(	(	PUNCT
ejpam-3673	212	52	ul−1	ul−1	PROPN
ejpam-3673	212	53	)	)	PUNCT
ejpam-3673	212	54	=	=	PUNCT
ejpam-3673	213	1	z	z	NOUN
ejpam-3673	213	2	6⊆	6⊆	NUM
ejpam-3673	213	3	uk−1	uk−1	PROPN
ejpam-3673	213	4	=	=	ADJ
ejpam-3673	213	5	0	0	X
ejpam-3673	213	6	.	.	PUNCT
ejpam-3673	214	1	hence	hence	ADV
ejpam-3673	214	2	k	k	PROPN
ejpam-3673	214	3	is	be	AUX
ejpam-3673	214	4	not	not	PART
ejpam-3673	214	5	the	the	DET
ejpam-3673	214	6	kernel	kernel	NOUN
ejpam-3673	214	7	of	of	ADP
ejpam-3673	214	8	f	f	PROPN
ejpam-3673	214	9	.	.	PUNCT
ejpam-3673	215	1	3.2	3.2	NUM
ejpam-3673	215	2	.	.	PUNCT
ejpam-3673	216	1	the	the	DET
ejpam-3673	216	2	homotopy	homotopy	NOUN
ejpam-3673	216	3	category	category	NOUN
ejpam-3673	216	4	of	of	ADP
ejpam-3673	216	5	u	u	NOUN
ejpam-3673	216	6	-	-	NOUN
ejpam-3673	216	7	complexes	complexe	VERB
ejpam-3673	216	8	a	a	DET
ejpam-3673	216	9	morphism	morphism	NOUN
ejpam-3673	216	10	f	f	NOUN
ejpam-3673	216	11	:	:	PUNCT
ejpam-3673	216	12	x	x	PUNCT
ejpam-3673	216	13	−→	−→	NOUN
ejpam-3673	216	14	y	y	PROPN
ejpam-3673	216	15	in	in	ADP
ejpam-3673	216	16	u	u	PROPN
ejpam-3673	216	17	-c	-c	PUNCT
ejpam-3673	216	18	(	(	PUNCT
ejpam-3673	216	19	r	r	NOUN
ejpam-3673	216	20	)	)	PUNCT
ejpam-3673	216	21	is	be	AUX
ejpam-3673	216	22	called	call	VERB
ejpam-3673	216	23	homotopic	homotopic	ADJ
ejpam-3673	216	24	to	to	ADP
ejpam-3673	216	25	zero	zero	NUM
ejpam-3673	216	26	(	(	PUNCT
ejpam-3673	216	27	or	or	CCONJ
ejpam-3673	216	28	null	null	ADJ
ejpam-3673	216	29	homotopic	homotopic	NOUN
ejpam-3673	216	30	)	)	PUNCT
ejpam-3673	216	31	if	if	SCONJ
ejpam-3673	216	32	there	there	PRON
ejpam-3673	216	33	exists	exist	VERB
ejpam-3673	216	34	a	a	DET
ejpam-3673	216	35	chain	chain	NOUN
ejpam-3673	216	36	homotopy	homotopy	NOUN
ejpam-3673	216	37	map	map	NOUN
ejpam-3673	216	38	h	h	NOUN
ejpam-3673	216	39	=	=	PUNCT
ejpam-3673	216	40	(	(	PUNCT
ejpam-3673	216	41	hn	hn	NOUN
ejpam-3673	216	42	:	:	PUNCT
ejpam-3673	216	43	xn	xn	PUNCT
ejpam-3673	217	1	−→	−→	ADJ
ejpam-3673	217	2	yn+1)n∈z	yn+1)n∈z	NOUN
ejpam-3673	217	3	such	such	ADJ
ejpam-3673	217	4	that	that	DET
ejpam-3673	217	5	fn	fn	NOUN
ejpam-3673	217	6	=	=	SYM
ejpam-3673	217	7	dyn+1hn	dyn+1hn	NOUN
ejpam-3673	217	8	+	+	CCONJ
ejpam-3673	217	9	hn−1d	hn−1d	NOUN
ejpam-3673	217	10	x	x	SYM
ejpam-3673	217	11	n	n	PROPN
ejpam-3673	217	12	and	and	CCONJ
ejpam-3673	217	13	hn	hn	PROPN
ejpam-3673	217	14	(	(	PUNCT
ejpam-3673	217	15	uxn	uxn	ADJ
ejpam-3673	217	16	)	)	PUNCT
ejpam-3673	217	17	⊆	⊆	NUM
ejpam-3673	217	18	uyn+1	uyn+1	NOUN
ejpam-3673	217	19	(	(	PUNCT
ejpam-3673	217	20	28	28	NUM
ejpam-3673	217	21	)	)	PUNCT
ejpam-3673	217	22	we	we	PRON
ejpam-3673	217	23	call	call	VERB
ejpam-3673	217	24	two	two	NUM
ejpam-3673	217	25	morphisms	morphism	NOUN
ejpam-3673	218	1	f	f	NOUN
ejpam-3673	218	2	,	,	PUNCT
ejpam-3673	218	3	g	g	NOUN
ejpam-3673	218	4	:	:	PUNCT
ejpam-3673	218	5	x	x	PUNCT
ejpam-3673	218	6	−→	−→	NOUN
ejpam-3673	218	7	y	y	PROPN
ejpam-3673	218	8	in	in	ADP
ejpam-3673	218	9	u	u	PROPN
ejpam-3673	218	10	-c	-c	PUNCT
ejpam-3673	218	11	(	(	PUNCT
ejpam-3673	218	12	r	r	NOUN
ejpam-3673	218	13	)	)	PUNCT
ejpam-3673	218	14	homotopic	homotopic	NOUN
ejpam-3673	218	15	(	(	PUNCT
ejpam-3673	218	16	or	or	CCONJ
ejpam-3673	218	17	homotopy	homotopy	VERB
ejpam-3673	218	18	equivalent	equivalent	NOUN
ejpam-3673	218	19	)	)	PUNCT
ejpam-3673	218	20	,	,	PUNCT
ejpam-3673	218	21	if	if	SCONJ
ejpam-3673	218	22	f	f	PROPN
ejpam-3673	218	23	−	−	PROPN
ejpam-3673	218	24	g	g	PROPN
ejpam-3673	218	25	is	be	AUX
ejpam-3673	218	26	null	null	ADJ
ejpam-3673	218	27	homotopic	homotopic	ADJ
ejpam-3673	218	28	.	.	PUNCT
ejpam-3673	219	1	we	we	PRON
ejpam-3673	219	2	write	write	VERB
ejpam-3673	219	3	f	f	NOUN
ejpam-3673	219	4	∼	∼	NOUN
ejpam-3673	219	5	g	g	NOUN
ejpam-3673	219	6	if	if	SCONJ
ejpam-3673	219	7	they	they	PRON
ejpam-3673	219	8	are	be	AUX
ejpam-3673	219	9	homotopy	homotopy	NOUN
ejpam-3673	219	10	equivalent	equivalent	ADJ
ejpam-3673	219	11	.	.	PUNCT
ejpam-3673	220	1	the	the	DET
ejpam-3673	220	2	homotopy	homotopy	NOUN
ejpam-3673	220	3	relation	relation	NOUN
ejpam-3673	220	4	∼	∼	NOUN
ejpam-3673	220	5	is	be	AUX
ejpam-3673	220	6	also	also	ADV
ejpam-3673	220	7	an	an	DET
ejpam-3673	220	8	equivalence	equivalence	NOUN
ejpam-3673	220	9	relation	relation	NOUN
ejpam-3673	220	10	on	on	ADP
ejpam-3673	220	11	the	the	DET
ejpam-3673	220	12	class	class	NOUN
ejpam-3673	220	13	of	of	ADP
ejpam-3673	220	14	morphisms	morphism	NOUN
ejpam-3673	220	15	in	in	ADP
ejpam-3673	220	16	u	u	PROPN
ejpam-3673	220	17	-c	-c	PUNCT
ejpam-3673	220	18	(	(	PUNCT
ejpam-3673	220	19	r	r	NOUN
ejpam-3673	220	20	)	)	PUNCT
ejpam-3673	220	21	.	.	PUNCT
ejpam-3673	221	1	furthemore	furthemore	AUX
ejpam-3673	221	2	the	the	DET
ejpam-3673	221	3	collections	collection	NOUN
ejpam-3673	221	4	of	of	ADP
ejpam-3673	221	5	homotopy	homotopy	NOUN
ejpam-3673	221	6	equivalence	equivalence	NOUN
ejpam-3673	221	7	classes	class	NOUN
ejpam-3673	221	8	of	of	ADP
ejpam-3673	221	9	morphisms	morphism	NOUN
ejpam-3673	221	10	of	of	ADP
ejpam-3673	221	11	u	u	PROPN
ejpam-3673	221	12	-complexes	-complexe	NOUN
ejpam-3673	221	13	form	form	VERB
ejpam-3673	221	14	an	an	DET
ejpam-3673	221	15	ideal	ideal	NOUN
ejpam-3673	221	16	in	in	ADP
ejpam-3673	221	17	u	u	NOUN
ejpam-3673	221	18	-	-	PROPN
ejpam-3673	221	19	c	c	NOUN
ejpam-3673	221	20	(	(	PUNCT
ejpam-3673	221	21	r	r	NOUN
ejpam-3673	221	22	)	)	PUNCT
ejpam-3673	221	23	.	.	PUNCT
ejpam-3673	222	1	lemma	lemma	PROPN
ejpam-3673	222	2	1	1	X
ejpam-3673	222	3	.	.	PUNCT
ejpam-3673	222	4	suppose	suppose	VERB
ejpam-3673	222	5	x	x	PRON
ejpam-3673	222	6	and	and	CCONJ
ejpam-3673	222	7	y	y	PROPN
ejpam-3673	222	8	are	be	AUX
ejpam-3673	222	9	any	any	DET
ejpam-3673	222	10	objects	object	NOUN
ejpam-3673	222	11	in	in	ADP
ejpam-3673	222	12	u	u	NOUN
ejpam-3673	222	13	-	-	NOUN
ejpam-3673	222	14	c	c	NOUN
ejpam-3673	222	15	(	(	PUNCT
ejpam-3673	222	16	r	r	NOUN
ejpam-3673	222	17	)	)	PUNCT
ejpam-3673	222	18	.	.	PUNCT
ejpam-3673	223	1	then	then	ADV
ejpam-3673	223	2	the	the	DET
ejpam-3673	223	3	collections	collection	NOUN
ejpam-3673	223	4	of	of	ADP
ejpam-3673	223	5	all	all	PRON
ejpam-3673	223	6	ht	ht	PROPN
ejpam-3673	223	7	(	(	PUNCT
ejpam-3673	223	8	x	x	PROPN
ejpam-3673	223	9	,	,	PUNCT
ejpam-3673	223	10	y	y	PROPN
ejpam-3673	223	11	)	)	PUNCT
ejpam-3673	224	1	=	=	PRON
ejpam-3673	224	2	{	{	PUNCT
ejpam-3673	224	3	f	f	PROPN
ejpam-3673	224	4	∈	∈	PROPN
ejpam-3673	224	5	homcu	homcu	NOUN
ejpam-3673	224	6	(	(	PUNCT
ejpam-3673	224	7	r	r	NOUN
ejpam-3673	224	8	)	)	PUNCT
ejpam-3673	224	9	(	(	PUNCT
ejpam-3673	224	10	x	x	X
ejpam-3673	224	11	,	,	PUNCT
ejpam-3673	224	12	y	y	PROPN
ejpam-3673	224	13	)	)	PUNCT
ejpam-3673	224	14	|	|	ADV
ejpam-3673	224	15	f	f	NOUN
ejpam-3673	224	16	∼	∼	NOUN
ejpam-3673	224	17	0	0	NUM
ejpam-3673	224	18	}	}	PUNCT
ejpam-3673	224	19	(	(	PUNCT
ejpam-3673	224	20	29	29	NUM
ejpam-3673	224	21	)	)	PUNCT
ejpam-3673	224	22	forms	form	VERB
ejpam-3673	224	23	an	an	DET
ejpam-3673	224	24	ideal	ideal	NOUN
ejpam-3673	224	25	in	in	ADP
ejpam-3673	224	26	u	u	NOUN
ejpam-3673	224	27	-	-	PROPN
ejpam-3673	224	28	c	c	NOUN
ejpam-3673	224	29	(	(	PUNCT
ejpam-3673	224	30	r	r	NOUN
ejpam-3673	224	31	)	)	PUNCT
ejpam-3673	224	32	.	.	PUNCT
ejpam-3673	225	1	proof	proof	NOUN
ejpam-3673	225	2	.	.	PUNCT
ejpam-3673	226	1	let	let	VERB
ejpam-3673	226	2	f	f	X
ejpam-3673	226	3	,	,	PUNCT
ejpam-3673	226	4	g	g	PROPN
ejpam-3673	226	5	∈	∈	PROPN
ejpam-3673	226	6	ht	ht	X
ejpam-3673	226	7	(	(	PUNCT
ejpam-3673	226	8	x	x	PROPN
ejpam-3673	226	9	,	,	PUNCT
ejpam-3673	226	10	y	y	PROPN
ejpam-3673	226	11	)	)	PUNCT
ejpam-3673	226	12	,	,	PUNCT
ejpam-3673	226	13	α	α	PROPN
ejpam-3673	226	14	∈	∈	PROPN
ejpam-3673	226	15	homu−c(r	homu−c(r	NUM
ejpam-3673	226	16	)	)	PUNCT
ejpam-3673	226	17	(	(	PUNCT
ejpam-3673	226	18	y	y	PROPN
ejpam-3673	226	19	,	,	PUNCT
ejpam-3673	226	20	z	z	NOUN
ejpam-3673	226	21	)	)	PUNCT
ejpam-3673	226	22	and	and	CCONJ
ejpam-3673	226	23	β	β	X
ejpam-3673	226	24	∈	∈	PROPN
ejpam-3673	226	25	homu−c(r	homu−c(r	NUM
ejpam-3673	226	26	)	)	PUNCT
ejpam-3673	226	27	(	(	PUNCT
ejpam-3673	226	28	w	w	PROPN
ejpam-3673	226	29	,	,	PUNCT
ejpam-3673	226	30	x	x	NOUN
ejpam-3673	226	31	)	)	PUNCT
ejpam-3673	226	32	.	.	PUNCT
ejpam-3673	227	1	suppose	suppose	VERB
ejpam-3673	227	2	r	r	NOUN
ejpam-3673	227	3	=	=	SYM
ejpam-3673	227	4	(	(	PUNCT
ejpam-3673	227	5	rn	rn	NOUN
ejpam-3673	227	6	:	:	PUNCT
ejpam-3673	227	7	xn	xn	PROPN
ejpam-3673	227	8	→	→	SYM
ejpam-3673	227	9	yn+1)n∈z	yn+1)n∈z	NUM
ejpam-3673	227	10	and	and	CCONJ
ejpam-3673	227	11	s	s	NOUN
ejpam-3673	227	12	=	=	PUNCT
ejpam-3673	227	13	(	(	PUNCT
ejpam-3673	227	14	sn	sn	PROPN
ejpam-3673	227	15	:	:	PUNCT
ejpam-3673	227	16	xn	xn	PROPN
ejpam-3673	227	17	→	→	SYM
ejpam-3673	227	18	yn+1)n∈z	yn+1)n∈z	NUM
ejpam-3673	227	19	be	be	AUX
ejpam-3673	227	20	homotopy	homotopy	NOUN
ejpam-3673	227	21	maps	map	NOUN
ejpam-3673	227	22	such	such	ADJ
ejpam-3673	227	23	that	that	DET
ejpam-3673	227	24	fn	fn	NOUN
ejpam-3673	228	1	=	=	PUNCT
ejpam-3673	228	2	dyn+1rn	dyn+1rn	PROPN
ejpam-3673	228	3	+	+	NUM
ejpam-3673	228	4	rn−1d	rn−1d	PROPN
ejpam-3673	228	5	x	x	SYM
ejpam-3673	228	6	n	n	NOUN
ejpam-3673	228	7	and	and	CCONJ
ejpam-3673	228	8	gn	gn	PROPN
ejpam-3673	228	9	=	=	PRON
ejpam-3673	229	1	dyn+1sn	dyn+1sn	NOUN
ejpam-3673	229	2	+	+	CCONJ
ejpam-3673	229	3	sn−1d	sn−1d	NOUN
ejpam-3673	229	4	x	x	SYM
ejpam-3673	229	5	n	n	NOUN
ejpam-3673	229	6	.	.	PUNCT
ejpam-3673	230	1	then	then	ADV
ejpam-3673	230	2	βn	βn	VERB
ejpam-3673	230	3	(	(	PUNCT
ejpam-3673	230	4	fn	fn	NOUN
ejpam-3673	230	5	−	−	NOUN
ejpam-3673	230	6	gn)αn	gn)αn	NOUN
ejpam-3673	230	7	=	=	SYM
ejpam-3673	230	8	βn	βn	PROPN
ejpam-3673	230	9	(	(	PUNCT
ejpam-3673	230	10	dyn+1rn	dyn+1rn	X
ejpam-3673	230	11	+	+	CCONJ
ejpam-3673	230	12	rn−1d	rn−1d	PROPN
ejpam-3673	230	13	x	x	SYM
ejpam-3673	230	14	n	n	NUM
ejpam-3673	230	15	−	−	PROPN
ejpam-3673	230	16	dyn+1sn	dyn+1sn	VERB
ejpam-3673	230	17	−	−	PROPN
ejpam-3673	230	18	sn−1d	sn−1d	NOUN
ejpam-3673	230	19	x	x	SYM
ejpam-3673	230	20	n	n	X
ejpam-3673	230	21	)	)	PUNCT
ejpam-3673	230	22	αn	αn	NOUN
ejpam-3673	231	1	=	=	SYM
ejpam-3673	231	2	βnd	βnd	NOUN
ejpam-3673	231	3	y	y	PROPN
ejpam-3673	231	4	n+1	n+1	PROPN
ejpam-3673	231	5	(	(	PUNCT
ejpam-3673	231	6	rn	rn	NOUN
ejpam-3673	231	7	−	−	NOUN
ejpam-3673	231	8	sn)αn	sn)αn	PUNCT
ejpam-3673	232	1	+	+	CCONJ
ejpam-3673	232	2	βn	βn	ADJ
ejpam-3673	232	3	(	(	PUNCT
ejpam-3673	232	4	rn−1	rn−1	PROPN
ejpam-3673	232	5	−	−	PROPN
ejpam-3673	232	6	sn−1	sn−1	PROPN
ejpam-3673	232	7	)	)	PUNCT
ejpam-3673	232	8	dxn	dxn	VERB
ejpam-3673	232	9	αn	αn	NOUN
ejpam-3673	232	10	=	=	SYM
ejpam-3673	232	11	dzn+1βn+1	dzn+1βn+1	PROPN
ejpam-3673	232	12	(	(	PUNCT
ejpam-3673	232	13	rn	rn	NOUN
ejpam-3673	232	14	−	−	NOUN
ejpam-3673	232	15	sn)αn	sn)αn	PUNCT
ejpam-3673	233	1	+	+	CCONJ
ejpam-3673	233	2	βn	βn	ADJ
ejpam-3673	233	3	(	(	PUNCT
ejpam-3673	233	4	rn−1	rn−1	PROPN
ejpam-3673	233	5	−	−	PROPN
ejpam-3673	233	6	sn−1)αn−1d	sn−1)αn−1d	PROPN
ejpam-3673	233	7	w	w	PROPN
ejpam-3673	233	8	n−1	n−1	PROPN
ejpam-3673	233	9	set	set	NOUN
ejpam-3673	233	10	t	t	NOUN
ejpam-3673	233	11	=	=	SYM
ejpam-3673	233	12	(	(	PUNCT
ejpam-3673	233	13	tn	tn	NOUN
ejpam-3673	233	14	=	=	SYM
ejpam-3673	233	15	βn+1	βn+1	NUM
ejpam-3673	233	16	(	(	PUNCT
ejpam-3673	233	17	rn	rn	NOUN
ejpam-3673	233	18	−	−	PROPN
ejpam-3673	233	19	sn)αn	sn)αn	SYM
ejpam-3673	233	20	:	:	PUNCT
ejpam-3673	233	21	wn	wn	PROPN
ejpam-3673	233	22	→	→	SYM
ejpam-3673	233	23	zn+1)n∈z	zn+1)n∈z	PROPN
ejpam-3673	233	24	,	,	PUNCT
ejpam-3673	233	25	then	then	ADV
ejpam-3673	233	26	tn	tn	PROPN
ejpam-3673	233	27	is	be	AUX
ejpam-3673	233	28	a	a	DET
ejpam-3673	233	29	homotopy	homotopy	NOUN
ejpam-3673	233	30	map	map	NOUN
ejpam-3673	233	31	.	.	PUNCT
ejpam-3673	234	1	hence	hence	ADV
ejpam-3673	234	2	βn	βn	VERB
ejpam-3673	234	3	(	(	PUNCT
ejpam-3673	234	4	fn	fn	NOUN
ejpam-3673	234	5	−	−	NOUN
ejpam-3673	234	6	gn)αn	gn)αn	PROPN
ejpam-3673	234	7	∼	∼	NOUN
ejpam-3673	234	8	0	0	NUM
ejpam-3673	234	9	.	.	PUNCT
ejpam-3673	235	1	therefore	therefore	ADV
ejpam-3673	235	2	we	we	PRON
ejpam-3673	235	3	can	can	AUX
ejpam-3673	235	4	define	define	VERB
ejpam-3673	235	5	the	the	DET
ejpam-3673	235	6	homotopy	homotopy	NOUN
ejpam-3673	235	7	category	category	NOUN
ejpam-3673	235	8	of	of	ADP
ejpam-3673	235	9	chain	chain	NOUN
ejpam-3673	235	10	u	u	NOUN
ejpam-3673	235	11	-	-	NOUN
ejpam-3673	235	12	complexes	complex	NOUN
ejpam-3673	235	13	as	as	ADP
ejpam-3673	235	14	the	the	DET
ejpam-3673	235	15	quotient	quotient	NOUN
ejpam-3673	235	16	of	of	ADP
ejpam-3673	235	17	u	u	NOUN
ejpam-3673	235	18	-	-	PROPN
ejpam-3673	235	19	c	c	ADJ
ejpam-3673	235	20	(	(	PUNCT
ejpam-3673	235	21	r	r	NOUN
ejpam-3673	235	22	)	)	PUNCT
ejpam-3673	235	23	modulo	modulo	NOUN
ejpam-3673	235	24	this	this	DET
ejpam-3673	235	25	ideal	ideal	NOUN
ejpam-3673	235	26	.	.	PUNCT
ejpam-3673	236	1	g.	g.	PROPN
ejpam-3673	236	2	elfiyanti	elfiyanti	PROPN
ejpam-3673	236	3	et	et	PROPN
ejpam-3673	236	4	al	al	PROPN
ejpam-3673	236	5	.	.	PUNCT
ejpam-3673	236	6	/	/	SYM
ejpam-3673	236	7	eur	eur	PROPN
ejpam-3673	236	8	.	.	PUNCT
ejpam-3673	237	1	j.	j.	PROPN
ejpam-3673	237	2	pure	pure	PROPN
ejpam-3673	237	3	appl	appl	PROPN
ejpam-3673	237	4	.	.	PROPN
ejpam-3673	237	5	math	math	PROPN
ejpam-3673	237	6	,	,	PUNCT
ejpam-3673	237	7	13	13	NUM
ejpam-3673	237	8	(	(	PUNCT
ejpam-3673	237	9	2	2	NUM
ejpam-3673	237	10	)	)	PUNCT
ejpam-3673	237	11	(	(	PUNCT
ejpam-3673	237	12	2020	2020	NUM
ejpam-3673	237	13	)	)	PUNCT
ejpam-3673	237	14	,	,	PUNCT
ejpam-3673	237	15	323	323	NUM
ejpam-3673	237	16	-	-	SYM
ejpam-3673	237	17	345	345	NUM
ejpam-3673	237	18	332	332	NUM
ejpam-3673	237	19	definition	definition	NOUN
ejpam-3673	237	20	7	7	NUM
ejpam-3673	237	21	.	.	PUNCT
ejpam-3673	238	1	the	the	DET
ejpam-3673	238	2	homotopy	homotopy	NOUN
ejpam-3673	238	3	category	category	NOUN
ejpam-3673	238	4	of	of	ADP
ejpam-3673	238	5	u	u	NOUN
ejpam-3673	238	6	-	-	NOUN
ejpam-3673	238	7	complexes	complex	NOUN
ejpam-3673	238	8	,	,	PUNCT
ejpam-3673	238	9	denote	denote	VERB
ejpam-3673	238	10	by	by	ADP
ejpam-3673	238	11	u	u	NOUN
ejpam-3673	238	12	-	-	PROPN
ejpam-3673	238	13	k	k	X
ejpam-3673	238	14	(	(	PUNCT
ejpam-3673	238	15	r	r	NOUN
ejpam-3673	238	16	)	)	PUNCT
ejpam-3673	238	17	,	,	PUNCT
ejpam-3673	238	18	has	have	VERB
ejpam-3673	238	19	the	the	DET
ejpam-3673	238	20	same	same	ADJ
ejpam-3673	238	21	object	object	NOUN
ejpam-3673	238	22	as	as	ADP
ejpam-3673	238	23	the	the	DET
ejpam-3673	238	24	category	category	NOUN
ejpam-3673	238	25	u	u	NOUN
ejpam-3673	238	26	-	-	PROPN
ejpam-3673	238	27	c	c	X
ejpam-3673	238	28	(	(	PUNCT
ejpam-3673	238	29	r	r	NOUN
ejpam-3673	238	30	)	)	PUNCT
ejpam-3673	238	31	.	.	PUNCT
ejpam-3673	239	1	the	the	DET
ejpam-3673	239	2	morphisms	morphism	NOUN
ejpam-3673	239	3	in	in	ADP
ejpam-3673	239	4	u	u	NOUN
ejpam-3673	239	5	-	-	PROPN
ejpam-3673	239	6	k	k	X
ejpam-3673	239	7	(	(	PUNCT
ejpam-3673	239	8	r	r	NOUN
ejpam-3673	239	9	)	)	PUNCT
ejpam-3673	239	10	are	be	AUX
ejpam-3673	239	11	the	the	DET
ejpam-3673	239	12	equivalence	equivalence	NOUN
ejpam-3673	239	13	classes	class	NOUN
ejpam-3673	239	14	of	of	ADP
ejpam-3673	239	15	morphism	morphism	NOUN
ejpam-3673	239	16	in	in	ADP
ejpam-3673	239	17	u	u	NOUN
ejpam-3673	239	18	-	-	PROPN
ejpam-3673	239	19	c	c	ADJ
ejpam-3673	239	20	(	(	PUNCT
ejpam-3673	239	21	r	r	NOUN
ejpam-3673	239	22	)	)	PUNCT
ejpam-3673	239	23	modulo	modulo	PROPN
ejpam-3673	239	24	homotopy	homotopy	PROPN
ejpam-3673	239	25	,	,	PUNCT
ejpam-3673	239	26	i.e.	i.e.	X
ejpam-3673	239	27	homu−k(r	homu−k(r	NOUN
ejpam-3673	239	28	)	)	PUNCT
ejpam-3673	239	29	(	(	PUNCT
ejpam-3673	239	30	x	x	X
ejpam-3673	239	31	,	,	PUNCT
ejpam-3673	239	32	y	y	PROPN
ejpam-3673	239	33	)	)	PUNCT
ejpam-3673	240	1	=	=	PUNCT
ejpam-3673	240	2	homu−c(r	homu−c(r	NOUN
ejpam-3673	240	3	)	)	PUNCT
ejpam-3673	240	4	(	(	PUNCT
ejpam-3673	240	5	x	x	X
ejpam-3673	240	6	,	,	PUNCT
ejpam-3673	240	7	y	y	PROPN
ejpam-3673	240	8	)	)	PUNCT
ejpam-3673	240	9	/ht	/ht	PUNCT
ejpam-3673	241	1	(	(	PUNCT
ejpam-3673	241	2	x	x	X
ejpam-3673	241	3	,	,	PUNCT
ejpam-3673	241	4	y	y	PROPN
ejpam-3673	241	5	)	)	PUNCT
ejpam-3673	241	6	(	(	PUNCT
ejpam-3673	241	7	30	30	X
ejpam-3673	241	8	)	)	PUNCT
ejpam-3673	241	9	the	the	DET
ejpam-3673	241	10	homotopy	homotopy	NOUN
ejpam-3673	241	11	category	category	NOUN
ejpam-3673	241	12	of	of	ADP
ejpam-3673	241	13	u	u	NOUN
ejpam-3673	241	14	-	-	NOUN
ejpam-3673	241	15	complexes	complex	NOUN
ejpam-3673	241	16	is	be	AUX
ejpam-3673	241	17	also	also	ADV
ejpam-3673	241	18	an	an	DET
ejpam-3673	241	19	additive	additive	ADJ
ejpam-3673	241	20	category	category	NOUN
ejpam-3673	241	21	[	[	X
ejpam-3673	241	22	7	7	NUM
ejpam-3673	241	23	]	]	PUNCT
ejpam-3673	241	24	.	.	PUNCT
ejpam-3673	242	1	to	to	PART
ejpam-3673	242	2	check	check	VERB
ejpam-3673	242	3	whether	whether	SCONJ
ejpam-3673	242	4	the	the	DET
ejpam-3673	242	5	homotopy	homotopy	NOUN
ejpam-3673	242	6	category	category	NOUN
ejpam-3673	242	7	of	of	ADP
ejpam-3673	242	8	u	u	NOUN
ejpam-3673	242	9	-	-	NOUN
ejpam-3673	242	10	complexes	complex	NOUN
ejpam-3673	242	11	u	u	NOUN
ejpam-3673	242	12	-	-	PROPN
ejpam-3673	242	13	k	k	X
ejpam-3673	242	14	(	(	PUNCT
ejpam-3673	242	15	r	r	NOUN
ejpam-3673	242	16	)	)	PUNCT
ejpam-3673	242	17	carries	carry	VERB
ejpam-3673	242	18	a	a	DET
ejpam-3673	242	19	triangulated	triangulate	VERB
ejpam-3673	242	20	structure	structure	NOUN
ejpam-3673	242	21	,	,	PUNCT
ejpam-3673	242	22	we	we	PRON
ejpam-3673	242	23	need	need	VERB
ejpam-3673	242	24	to	to	PART
ejpam-3673	242	25	construct	construct	VERB
ejpam-3673	242	26	a	a	DET
ejpam-3673	242	27	mapping	mapping	NOUN
ejpam-3673	242	28	cone	cone	NOUN
ejpam-3673	242	29	in	in	ADP
ejpam-3673	242	30	u	u	NOUN
ejpam-3673	242	31	-	-	PROPN
ejpam-3673	242	32	c	c	NOUN
ejpam-3673	242	33	(	(	PUNCT
ejpam-3673	242	34	r	r	NOUN
ejpam-3673	242	35	)	)	PUNCT
ejpam-3673	242	36	.	.	PUNCT
ejpam-3673	243	1	let	let	VERB
ejpam-3673	243	2	f	f	NOUN
ejpam-3673	243	3	:	:	PUNCT
ejpam-3673	243	4	x	x	PUNCT
ejpam-3673	243	5	−→	−→	NOUN
ejpam-3673	243	6	y	y	NOUN
ejpam-3673	243	7	be	be	AUX
ejpam-3673	243	8	a	a	DET
ejpam-3673	243	9	morphism	morphism	NOUN
ejpam-3673	243	10	in	in	ADP
ejpam-3673	243	11	u	u	NOUN
ejpam-3673	243	12	-	-	PROPN
ejpam-3673	243	13	c	c	NOUN
ejpam-3673	243	14	(	(	PUNCT
ejpam-3673	243	15	r	r	NOUN
ejpam-3673	243	16	)	)	PUNCT
ejpam-3673	243	17	.	.	PUNCT
ejpam-3673	244	1	suppose	suppose	VERB
ejpam-3673	244	2	m	m	INTJ
ejpam-3673	244	3	(	(	PUNCT
ejpam-3673	244	4	f)n	f)n	NOUN
ejpam-3673	244	5	=	=	SYM
ejpam-3673	244	6	xn−1	xn−1	PROPN
ejpam-3673	244	7	⊕	⊕	PROPN
ejpam-3673	244	8	yn	yn	PROPN
ejpam-3673	244	9	,	,	PUNCT
ejpam-3673	244	10	um(f	um(f	NOUN
ejpam-3673	244	11	)	)	PUNCT
ejpam-3673	245	1	n	n	NOUN
ejpam-3673	245	2	=	=	SYM
ejpam-3673	245	3	uxn−1	uxn−1	PROPN
ejpam-3673	245	4	⊕	⊕	PROPN
ejpam-3673	245	5	uyn	uyn	VERB
ejpam-3673	245	6	and	and	CCONJ
ejpam-3673	245	7	dm(f	dm(f	NOUN
ejpam-3673	245	8	)	)	PUNCT
ejpam-3673	245	9	n	n	NOUN
ejpam-3673	245	10	=	=	PUNCT
ejpam-3673	245	11	(	(	PUNCT
ejpam-3673	245	12	−dxn−1	−dxn−1	ADJ
ejpam-3673	245	13	0	0	NUM
ejpam-3673	245	14	fn−1	fn−1	ADJ
ejpam-3673	245	15	dyn	dyn	NOUN
ejpam-3673	245	16	)	)	PUNCT
ejpam-3673	245	17	(	(	PUNCT
ejpam-3673	245	18	31	31	NUM
ejpam-3673	245	19	)	)	PUNCT
ejpam-3673	245	20	for	for	ADP
ejpam-3673	245	21	any	any	DET
ejpam-3673	245	22	(	(	PUNCT
ejpam-3673	245	23	x	x	NOUN
ejpam-3673	245	24	,	,	PUNCT
ejpam-3673	245	25	y	y	NOUN
ejpam-3673	245	26	)	)	PUNCT
ejpam-3673	245	27	∈	∈	PROPN
ejpam-3673	245	28	xn−1	xn−1	PROPN
ejpam-3673	245	29	⊕	⊕	PROPN
ejpam-3673	245	30	yn	yn	PROPN
ejpam-3673	245	31	,	,	PUNCT
ejpam-3673	245	32	observe	observe	VERB
ejpam-3673	245	33	that	that	SCONJ
ejpam-3673	245	34	dm(f	dm(f	NOUN
ejpam-3673	245	35	)	)	PUNCT
ejpam-3673	245	36	n	n	PROPN
ejpam-3673	245	37	d	d	PROPN
ejpam-3673	245	38	m(f	m(f	PROPN
ejpam-3673	245	39	)	)	PUNCT
ejpam-3673	245	40	n+1	n+1	PROPN
ejpam-3673	246	1	(	(	PUNCT
ejpam-3673	246	2	x	x	NOUN
ejpam-3673	246	3	,	,	PUNCT
ejpam-3673	246	4	y	y	NOUN
ejpam-3673	246	5	)	)	PUNCT
ejpam-3673	246	6	=	=	PRON
ejpam-3673	246	7	(	(	PUNCT
ejpam-3673	246	8	dxn	dxn	AUX
ejpam-3673	246	9	d	d	X
ejpam-3673	246	10	x	x	SYM
ejpam-3673	246	11	n−1	n−1	PROPN
ejpam-3673	246	12	0	0	NUM
ejpam-3673	246	13	dyn	dyn	PROPN
ejpam-3673	246	14	fn	fn	NOUN
ejpam-3673	246	15	−	−	PROPN
ejpam-3673	246	16	dxn	dxn	VERB
ejpam-3673	246	17	fn−1	fn−1	PROPN
ejpam-3673	246	18	dyn	dyn	PROPN
ejpam-3673	246	19	d	d	X
ejpam-3673	246	20	y	y	PROPN
ejpam-3673	246	21	n+1	n+1	PROPN
ejpam-3673	246	22	)	)	PUNCT
ejpam-3673	246	23	(	(	PUNCT
ejpam-3673	246	24	x	x	SYM
ejpam-3673	246	25	y	y	X
ejpam-3673	246	26	)	)	PUNCT
ejpam-3673	246	27	∈	∈	PROPN
ejpam-3673	246	28	(	(	PUNCT
ejpam-3673	246	29	uxn−2	uxn−2	PROPN
ejpam-3673	246	30	uyn−1	uyn−1	PROPN
ejpam-3673	246	31	)	)	PUNCT
ejpam-3673	247	1	=	=	SYM
ejpam-3673	247	2	u	u	PROPN
ejpam-3673	247	3	m(f	m(f	PROPN
ejpam-3673	247	4	)	)	PUNCT
ejpam-3673	247	5	n−1	n−1	PROPN
ejpam-3673	247	6	(	(	PUNCT
ejpam-3673	247	7	32	32	NUM
ejpam-3673	247	8	)	)	PUNCT
ejpam-3673	247	9	and	and	CCONJ
ejpam-3673	247	10	dm(f	dm(f	NOUN
ejpam-3673	247	11	)	)	PUNCT
ejpam-3673	247	12	n	n	CCONJ
ejpam-3673	247	13	(	(	PUNCT
ejpam-3673	247	14	x	x	NOUN
ejpam-3673	247	15	,	,	PUNCT
ejpam-3673	247	16	y	y	NOUN
ejpam-3673	247	17	)	)	PUNCT
ejpam-3673	247	18	=	=	NOUN
ejpam-3673	247	19	(	(	PUNCT
ejpam-3673	247	20	−dxn−1(x	−dxn−1(x	NOUN
ejpam-3673	247	21	)	)	PUNCT
ejpam-3673	247	22	fn−1(x	fn−1(x	NOUN
ejpam-3673	247	23	)	)	PUNCT
ejpam-3673	248	1	+	+	CCONJ
ejpam-3673	248	2	dyn	dyn	NOUN
ejpam-3673	248	3	(	(	PUNCT
ejpam-3673	248	4	y	y	NOUN
ejpam-3673	248	5	)	)	PUNCT
ejpam-3673	248	6	)	)	PUNCT
ejpam-3673	248	7	(	(	PUNCT
ejpam-3673	248	8	33	33	NUM
ejpam-3673	248	9	)	)	PUNCT
ejpam-3673	248	10	in	in	ADP
ejpam-3673	248	11	the	the	DET
ejpam-3673	248	12	following	following	ADJ
ejpam-3673	248	13	example	example	NOUN
ejpam-3673	248	14	we	we	PRON
ejpam-3673	248	15	note	note	VERB
ejpam-3673	248	16	that	that	SCONJ
ejpam-3673	248	17	in	in	ADP
ejpam-3673	248	18	general	general	PROPN
ejpam-3673	248	19	i	i	PRON
ejpam-3673	248	20	m	m	VERB
ejpam-3673	248	21	(	(	PUNCT
ejpam-3673	248	22	d	d	PROPN
ejpam-3673	248	23	m(f	m(f	PROPN
ejpam-3673	248	24	)	)	PUNCT
ejpam-3673	248	25	n	n	CCONJ
ejpam-3673	248	26	)	)	PUNCT
ejpam-3673	248	27	does	do	AUX
ejpam-3673	248	28	not	not	PART
ejpam-3673	248	29	contain	contain	VERB
ejpam-3673	248	30	u	u	PRON
ejpam-3673	248	31	m(f	m(f	PROPN
ejpam-3673	248	32	)	)	PUNCT
ejpam-3673	248	33	n−1	n−1	PROPN
ejpam-3673	248	34	.	.	PUNCT
ejpam-3673	249	1	hence	hence	ADV
ejpam-3673	249	2	we	we	PRON
ejpam-3673	249	3	can	can	AUX
ejpam-3673	249	4	not	not	PART
ejpam-3673	249	5	define	define	VERB
ejpam-3673	249	6	the	the	DET
ejpam-3673	249	7	mapping	mapping	NOUN
ejpam-3673	249	8	cone	cone	NOUN
ejpam-3673	249	9	in	in	ADP
ejpam-3673	249	10	u	u	NOUN
ejpam-3673	249	11	-	-	PROPN
ejpam-3673	249	12	c	c	NOUN
ejpam-3673	249	13	(	(	PUNCT
ejpam-3673	249	14	r	r	NOUN
ejpam-3673	249	15	)	)	PUNCT
ejpam-3673	249	16	as	as	ADP
ejpam-3673	249	17	in	in	ADP
ejpam-3673	249	18	(	(	PUNCT
ejpam-3673	249	19	31	31	NUM
ejpam-3673	249	20	)	)	PUNCT
ejpam-3673	249	21	.	.	PUNCT
ejpam-3673	250	1	example	example	NOUN
ejpam-3673	251	1	3	3	X
ejpam-3673	251	2	.	.	PUNCT
ejpam-3673	251	3	suppose	suppose	VERB
ejpam-3673	251	4	we	we	PRON
ejpam-3673	251	5	have	have	VERB
ejpam-3673	251	6	the	the	DET
ejpam-3673	251	7	following	following	ADJ
ejpam-3673	251	8	morphism	morphism	NOUN
ejpam-3673	251	9	of	of	ADP
ejpam-3673	251	10	chain	chain	NOUN
ejpam-3673	251	11	u	u	NOUN
ejpam-3673	251	12	-	-	NOUN
ejpam-3673	251	13	complexes	complexe	VERB
ejpam-3673	251	14	x	x	PUNCT
ejpam-3673	251	15	:	:	PUNCT
ejpam-3673	251	16	0	0	NUM
ejpam-3673	251	17	0	0	NUM
ejpam-3673	251	18	r	r	NOUN
ejpam-3673	251	19	r	r	NOUN
ejpam-3673	251	20	0	0	NUM
ejpam-3673	251	21	y	y	NOUN
ejpam-3673	251	22	:	:	PUNCT
ejpam-3673	251	23	0	0	NUM
ejpam-3673	251	24	r	r	NOUN
ejpam-3673	251	25	r⊕r	r⊕r	NOUN
ejpam-3673	251	26	0	0	NUM
ejpam-3673	251	27	0	0	NUM
ejpam-3673	251	28	f	f	PROPN
ejpam-3673	251	29	1	1	NUM
ejpam-3673	251	30	f0	f0	PROPN
ejpam-3673	251	31	dy1	dy1	NOUN
ejpam-3673	251	32	dy0	dy0	NOUN
ejpam-3673	251	33	(	(	PUNCT
ejpam-3673	251	34	34	34	NUM
ejpam-3673	251	35	)	)	PUNCT
ejpam-3673	251	36	where	where	SCONJ
ejpam-3673	251	37	dx0	dx0	NOUN
ejpam-3673	251	38	=	=	SYM
ejpam-3673	251	39	1	1	NUM
ejpam-3673	251	40	,	,	PUNCT
ejpam-3673	251	41	f0	f0	PROPN
ejpam-3673	251	42	=	=	PUNCT
ejpam-3673	251	43	(	(	PUNCT
ejpam-3673	251	44	0	0	NUM
ejpam-3673	251	45	1	1	NUM
ejpam-3673	251	46	)	)	PUNCT
ejpam-3673	251	47	,	,	PUNCT
ejpam-3673	251	48	dy1	dy1	NOUN
ejpam-3673	251	49	=	=	SYM
ejpam-3673	251	50	(	(	PUNCT
ejpam-3673	251	51	1	1	NUM
ejpam-3673	251	52	0	0	NUM
ejpam-3673	251	53	)	)	PUNCT
ejpam-3673	251	54	,	,	PUNCT
ejpam-3673	251	55	dy0	dy0	NOUN
ejpam-3673	251	56	=	=	PUNCT
ejpam-3673	251	57	(	(	PUNCT
ejpam-3673	251	58	0	0	NUM
ejpam-3673	251	59	0	0	NUM
ejpam-3673	251	60	)	)	PUNCT
ejpam-3673	251	61	,	,	PUNCT
ejpam-3673	251	62	ux−1	ux−1	NOUN
ejpam-3673	251	63	=	=	SYM
ejpam-3673	251	64	r	r	NOUN
ejpam-3673	251	65	,	,	PUNCT
ejpam-3673	251	66	uy0	uy0	NOUN
ejpam-3673	251	67	=	=	SYM
ejpam-3673	251	68	r⊕0	r⊕0	ADJ
ejpam-3673	251	69	.	.	PUNCT
ejpam-3673	252	1	then	then	ADV
ejpam-3673	252	2	m(f	m(f	PROPN
ejpam-3673	252	3	)	)	PUNCT
ejpam-3673	252	4	is	be	AUX
ejpam-3673	252	5	0	0	NUM
ejpam-3673	252	6	r⊕r	r⊕r	NOUN
ejpam-3673	252	7	r⊕(r⊕r	r⊕(r⊕r	NOUN
ejpam-3673	252	8	)	)	PUNCT
ejpam-3673	252	9	0	0	NUM
ejpam-3673	252	10	0∂	0∂	NOUN
ejpam-3673	252	11	(	(	PUNCT
ejpam-3673	252	12	35	35	NUM
ejpam-3673	252	13	)	)	PUNCT
ejpam-3673	252	14	for	for	ADP
ejpam-3673	252	15	any	any	DET
ejpam-3673	252	16	(	(	PUNCT
ejpam-3673	252	17	x	x	NOUN
ejpam-3673	252	18	,	,	PUNCT
ejpam-3673	252	19	y	y	NOUN
ejpam-3673	252	20	)	)	PUNCT
ejpam-3673	252	21	∈	∈	PROPN
ejpam-3673	252	22	r⊕r	r⊕r	NOUN
ejpam-3673	252	23	,	,	PUNCT
ejpam-3673	252	24	observe	observe	VERB
ejpam-3673	252	25	that	that	SCONJ
ejpam-3673	252	26	∂	∂	ADJ
ejpam-3673	252	27	(	(	PUNCT
ejpam-3673	252	28	x	x	NOUN
ejpam-3673	252	29	y	y	PROPN
ejpam-3673	252	30	)	)	PUNCT
ejpam-3673	252	31	=	=	PUNCT
ejpam-3673	253	1	−1	−1	NOUN
ejpam-3673	253	2	0	0	NUM
ejpam-3673	253	3	0	0	NUM
ejpam-3673	253	4	1	1	NUM
ejpam-3673	253	5	1	1	NUM
ejpam-3673	253	6	0	0	NUM
ejpam-3673	253	7	(x	(x	NOUN
ejpam-3673	253	8	y	y	NOUN
ejpam-3673	253	9	)	)	PUNCT
ejpam-3673	254	1	=	=	SYM
ejpam-3673	254	2	−xy	−xy	PROPN
ejpam-3673	254	3	z	z	PROPN
ejpam-3673	254	4			PROPN
ejpam-3673	254	5	(	(	PUNCT
ejpam-3673	254	6	36	36	NUM
ejpam-3673	254	7	)	)	PUNCT
ejpam-3673	254	8	since	since	SCONJ
ejpam-3673	254	9	im(∂	im(∂	NOUN
ejpam-3673	254	10	)	)	PUNCT
ejpam-3673	254	11	=	=	VERB
ejpam-3673	254	12	−r⊕	−r⊕	NOUN
ejpam-3673	254	13	(	(	PUNCT
ejpam-3673	254	14	r⊕r	r⊕r	NOUN
ejpam-3673	254	15	)	)	PUNCT
ejpam-3673	254	16	6⊇	6⊇	NUM
ejpam-3673	255	1	r⊕(r⊕0	r⊕(r⊕0	NUM
ejpam-3673	255	2	)	)	PUNCT
ejpam-3673	255	3	=	=	PUNCT
ejpam-3673	255	4	ux0	ux0	NOUN
ejpam-3673	255	5	⊕uy1	⊕uy1	NOUN
ejpam-3673	255	6	we	we	PRON
ejpam-3673	255	7	conclude	conclude	VERB
ejpam-3673	255	8	that	that	SCONJ
ejpam-3673	255	9	m(f	m(f	PROPN
ejpam-3673	255	10	)	)	PUNCT
ejpam-3673	255	11	is	be	AUX
ejpam-3673	255	12	not	not	PART
ejpam-3673	255	13	an	an	DET
ejpam-3673	255	14	object	object	NOUN
ejpam-3673	255	15	in	in	ADP
ejpam-3673	255	16	u	u	NOUN
ejpam-3673	255	17	-	-	PROPN
ejpam-3673	255	18	c	c	NOUN
ejpam-3673	255	19	(	(	PUNCT
ejpam-3673	255	20	r	r	NOUN
ejpam-3673	255	21	)	)	PUNCT
ejpam-3673	255	22	.	.	PUNCT
ejpam-3673	256	1	g.	g.	PROPN
ejpam-3673	256	2	elfiyanti	elfiyanti	PROPN
ejpam-3673	256	3	et	et	PROPN
ejpam-3673	256	4	al	al	PROPN
ejpam-3673	256	5	.	.	PUNCT
ejpam-3673	256	6	/	/	SYM
ejpam-3673	256	7	eur	eur	PROPN
ejpam-3673	256	8	.	.	PUNCT
ejpam-3673	257	1	j.	j.	PROPN
ejpam-3673	257	2	pure	pure	PROPN
ejpam-3673	257	3	appl	appl	PROPN
ejpam-3673	257	4	.	.	PROPN
ejpam-3673	257	5	math	math	PROPN
ejpam-3673	257	6	,	,	PUNCT
ejpam-3673	257	7	13	13	NUM
ejpam-3673	257	8	(	(	PUNCT
ejpam-3673	257	9	2	2	NUM
ejpam-3673	257	10	)	)	PUNCT
ejpam-3673	257	11	(	(	PUNCT
ejpam-3673	257	12	2020	2020	NUM
ejpam-3673	257	13	)	)	PUNCT
ejpam-3673	257	14	,	,	PUNCT
ejpam-3673	257	15	323	323	NUM
ejpam-3673	257	16	-	-	SYM
ejpam-3673	257	17	345	345	NUM
ejpam-3673	257	18	333	333	NUM
ejpam-3673	257	19	observe	observe	VERB
ejpam-3673	257	20	that	that	SCONJ
ejpam-3673	257	21	for	for	ADP
ejpam-3673	257	22	m	m	PROPN
ejpam-3673	257	23	(	(	PUNCT
ejpam-3673	257	24	f	f	X
ejpam-3673	257	25	)	)	PUNCT
ejpam-3673	257	26	in	in	ADP
ejpam-3673	257	27	the	the	DET
ejpam-3673	257	28	construction	construction	NOUN
ejpam-3673	257	29	(	(	PUNCT
ejpam-3673	257	30	31	31	NUM
ejpam-3673	257	31	)	)	PUNCT
ejpam-3673	257	32	we	we	PRON
ejpam-3673	257	33	have	have	VERB
ejpam-3673	257	34	d	d	PROPN
ejpam-3673	257	35	m(f	m(f	PROPN
ejpam-3673	257	36	)	)	PUNCT
ejpam-3673	258	1	n	n	PROPN
ejpam-3673	258	2	(	(	PUNCT
ejpam-3673	258	3	u	u	PROPN
ejpam-3673	258	4	m(f	m(f	PROPN
ejpam-3673	258	5	)	)	PUNCT
ejpam-3673	258	6	n	n	CCONJ
ejpam-3673	258	7	)	)	PUNCT
ejpam-3673	258	8	⊆	⊆	NUM
ejpam-3673	258	9	u	u	PRON
ejpam-3673	258	10	m(f	m(f	PROPN
ejpam-3673	258	11	)	)	PUNCT
ejpam-3673	258	12	n−1	n−1	PROPN
ejpam-3673	258	13	.	.	PUNCT
ejpam-3673	259	1	furthermore	furthermore	ADV
ejpam-3673	259	2	for	for	ADP
ejpam-3673	259	3	any	any	DET
ejpam-3673	259	4	chain	chain	NOUN
ejpam-3673	259	5	u	u	NOUN
ejpam-3673	259	6	-complex	-complex	PROPN
ejpam-3673	259	7	x	x	NOUN
ejpam-3673	259	8	,	,	PUNCT
ejpam-3673	259	9	it	it	PRON
ejpam-3673	259	10	also	also	ADV
ejpam-3673	259	11	satisfies	satisfy	VERB
ejpam-3673	259	12	dxn	dxn	PROPN
ejpam-3673	259	13	(	(	PUNCT
ejpam-3673	259	14	uxn	uxn	ADJ
ejpam-3673	259	15	)	)	PUNCT
ejpam-3673	259	16	⊆	⊆	NUM
ejpam-3673	259	17	uxn−1	uxn−1	PROPN
ejpam-3673	259	18	.	.	PUNCT
ejpam-3673	260	1	this	this	PRON
ejpam-3673	260	2	motivate	motivate	VERB
ejpam-3673	260	3	us	we	PRON
ejpam-3673	260	4	to	to	PART
ejpam-3673	260	5	define	define	VERB
ejpam-3673	260	6	a	a	DET
ejpam-3673	260	7	weakly	weakly	ADJ
ejpam-3673	260	8	chain	chain	NOUN
ejpam-3673	260	9	u	u	NOUN
ejpam-3673	260	10	-	-	NOUN
ejpam-3673	260	11	complex	complex	ADJ
ejpam-3673	260	12	.	.	PUNCT
ejpam-3673	261	1	4	4	X
ejpam-3673	261	2	.	.	X
ejpam-3673	261	3	a	a	DET
ejpam-3673	261	4	generalization	generalization	NOUN
ejpam-3673	261	5	of	of	ADP
ejpam-3673	261	6	the	the	DET
ejpam-3673	261	7	category	category	NOUN
ejpam-3673	261	8	of	of	ADP
ejpam-3673	261	9	u	u	NOUN
ejpam-3673	261	10	-	-	NOUN
ejpam-3673	261	11	complexes	complex	NOUN
ejpam-3673	261	12	in	in	ADP
ejpam-3673	261	13	this	this	DET
ejpam-3673	261	14	section	section	NOUN
ejpam-3673	261	15	we	we	PRON
ejpam-3673	261	16	propose	propose	VERB
ejpam-3673	261	17	a	a	DET
ejpam-3673	261	18	generalization	generalization	NOUN
ejpam-3673	261	19	of	of	ADP
ejpam-3673	261	20	chain	chain	NOUN
ejpam-3673	261	21	u	u	NOUN
ejpam-3673	261	22	-	-	NOUN
ejpam-3673	261	23	complex	complex	ADJ
ejpam-3673	261	24	,	,	PUNCT
ejpam-3673	261	25	called	call	VERB
ejpam-3673	261	26	weakly	weakly	ADJ
ejpam-3673	261	27	chain	chain	NOUN
ejpam-3673	261	28	u	u	NOUN
ejpam-3673	261	29	-	-	NOUN
ejpam-3673	261	30	complex	complex	ADJ
ejpam-3673	261	31	.	.	PUNCT
ejpam-3673	262	1	then	then	ADV
ejpam-3673	262	2	,	,	PUNCT
ejpam-3673	262	3	we	we	PRON
ejpam-3673	262	4	prove	prove	VERB
ejpam-3673	262	5	that	that	SCONJ
ejpam-3673	262	6	the	the	DET
ejpam-3673	262	7	homotopy	homotopy	NOUN
ejpam-3673	262	8	category	category	NOUN
ejpam-3673	262	9	of	of	ADP
ejpam-3673	262	10	weakly	weakly	ADJ
ejpam-3673	262	11	u	u	NOUN
ejpam-3673	262	12	-	-	NOUN
ejpam-3673	262	13	complexes	complex	NOUN
ejpam-3673	262	14	carries	carry	VERB
ejpam-3673	262	15	triangulated	triangulated	ADJ
ejpam-3673	262	16	structure	structure	NOUN
ejpam-3673	262	17	.	.	PUNCT
ejpam-3673	263	1	let	let	VERB
ejpam-3673	263	2	x	x	PUNCT
ejpam-3673	263	3	=	=	PRON
ejpam-3673	263	4	(	(	PUNCT
ejpam-3673	263	5	xn	xn	PROPN
ejpam-3673	263	6	,	,	PUNCT
ejpam-3673	263	7	u	u	NOUN
ejpam-3673	263	8	x	x	NOUN
ejpam-3673	263	9	n	n	PROPN
ejpam-3673	263	10	,	,	PUNCT
ejpam-3673	264	1	d	d	X
ejpam-3673	264	2	x	x	X
ejpam-3673	264	3	n	n	X
ejpam-3673	264	4	)	)	PUNCT
ejpam-3673	264	5	n∈z	n∈z	PRON
ejpam-3673	264	6	be	be	VERB
ejpam-3673	264	7	a	a	DET
ejpam-3673	264	8	family	family	NOUN
ejpam-3673	264	9	of	of	ADP
ejpam-3673	264	10	r	r	NOUN
ejpam-3673	264	11	-	-	PUNCT
ejpam-3673	264	12	modules	module	NOUN
ejpam-3673	264	13	and	and	CCONJ
ejpam-3673	264	14	r	r	NOUN
ejpam-3673	264	15	-	-	PUNCT
ejpam-3673	264	16	modules	module	NOUN
ejpam-3673	264	17	homomorphisms	homomorphism	NOUN
ejpam-3673	264	18	where	where	SCONJ
ejpam-3673	264	19	uxn	uxn	ADJ
ejpam-3673	264	20	is	be	AUX
ejpam-3673	264	21	a	a	DET
ejpam-3673	264	22	submodule	submodule	NOUN
ejpam-3673	264	23	of	of	ADP
ejpam-3673	264	24	xn	xn	PROPN
ejpam-3673	264	25	.	.	PUNCT
ejpam-3673	265	1	we	we	PRON
ejpam-3673	265	2	define	define	VERB
ejpam-3673	265	3	a	a	DET
ejpam-3673	265	4	weakly	weakly	ADJ
ejpam-3673	265	5	chain	chain	NOUN
ejpam-3673	265	6	u	u	NOUN
ejpam-3673	265	7	-	-	NOUN
ejpam-3673	265	8	complex	complex	ADJ
ejpam-3673	265	9	(	(	PUNCT
ejpam-3673	265	10	over	over	ADP
ejpam-3673	265	11	r	r	NOUN
ejpam-3673	265	12	-	-	PUNCT
ejpam-3673	265	13	mod	mod	NOUN
ejpam-3673	265	14	)	)	PUNCT
ejpam-3673	265	15	by	by	ADP
ejpam-3673	265	16	replacing	replace	VERB
ejpam-3673	265	17	the	the	DET
ejpam-3673	265	18	second	second	ADJ
ejpam-3673	265	19	condition	condition	NOUN
ejpam-3673	265	20	of	of	ADP
ejpam-3673	265	21	chain	chain	NOUN
ejpam-3673	265	22	u	u	PROPN
ejpam-3673	265	23	-complex	-complex	PROPN
ejpam-3673	266	1	i.e	i.e	X
ejpam-3673	266	2	dn	dn	PROPN
ejpam-3673	266	3	(	(	PUNCT
ejpam-3673	266	4	xn	xn	PROPN
ejpam-3673	266	5	)	)	PUNCT
ejpam-3673	266	6	⊇	⊇	PROPN
ejpam-3673	266	7	un−1	un−1	ADJ
ejpam-3673	266	8	with	with	ADP
ejpam-3673	266	9	dn(un	dn(un	PROPN
ejpam-3673	266	10	)	)	PUNCT
ejpam-3673	267	1	⊆	⊆	NUM
ejpam-3673	267	2	un−1	un−1	PROPN
ejpam-3673	267	3	.	.	PUNCT
ejpam-3673	268	1	it	it	PRON
ejpam-3673	268	2	is	be	AUX
ejpam-3673	268	3	easy	easy	ADJ
ejpam-3673	268	4	to	to	PART
ejpam-3673	268	5	check	check	VERB
ejpam-3673	268	6	that	that	SCONJ
ejpam-3673	268	7	every	every	DET
ejpam-3673	268	8	chain	chain	NOUN
ejpam-3673	268	9	complex	complex	NOUN
ejpam-3673	268	10	and	and	CCONJ
ejpam-3673	268	11	chain	chain	NOUN
ejpam-3673	268	12	u	u	NOUN
ejpam-3673	268	13	-	-	NOUN
ejpam-3673	268	14	complex	complex	ADJ
ejpam-3673	268	15	are	be	AUX
ejpam-3673	268	16	weakly	weakly	ADJ
ejpam-3673	268	17	chain	chain	NOUN
ejpam-3673	268	18	u	u	NOUN
ejpam-3673	268	19	-	-	NOUN
ejpam-3673	268	20	complexes	complex	NOUN
ejpam-3673	268	21	.	.	PUNCT
ejpam-3673	269	1	we	we	PRON
ejpam-3673	269	2	define	define	VERB
ejpam-3673	269	3	a	a	DET
ejpam-3673	269	4	morphism	morphism	NOUN
ejpam-3673	269	5	of	of	ADP
ejpam-3673	269	6	weakly	weakly	ADJ
ejpam-3673	269	7	chain	chain	NOUN
ejpam-3673	269	8	u	u	NOUN
ejpam-3673	269	9	-complexes	-complexe	NOUN
ejpam-3673	269	10	analog	analog	NOUN
ejpam-3673	269	11	to	to	ADP
ejpam-3673	269	12	the	the	DET
ejpam-3673	269	13	definition	definition	NOUN
ejpam-3673	269	14	of	of	ADP
ejpam-3673	269	15	morphism	morphism	NOUN
ejpam-3673	269	16	of	of	ADP
ejpam-3673	269	17	u	u	NOUN
ejpam-3673	269	18	-	-	NOUN
ejpam-3673	269	19	complexes	complex	NOUN
ejpam-3673	269	20	,	,	PUNCT
ejpam-3673	269	21	i.e.	i.e.	X
ejpam-3673	269	22	f	f	X
ejpam-3673	269	23	:	:	PUNCT
ejpam-3673	269	24	x	x	PUNCT
ejpam-3673	269	25	−→	−→	NOUN
ejpam-3673	269	26	y	y	PROPN
ejpam-3673	269	27	is	be	AUX
ejpam-3673	269	28	a	a	DET
ejpam-3673	269	29	morphism	morphism	NOUN
ejpam-3673	269	30	of	of	ADP
ejpam-3673	269	31	weakly	weakly	ADJ
ejpam-3673	269	32	chain	chain	NOUN
ejpam-3673	269	33	u	u	NOUN
ejpam-3673	269	34	-	-	NOUN
ejpam-3673	269	35	complexes	complex	NOUN
ejpam-3673	269	36	if	if	SCONJ
ejpam-3673	269	37	f	f	PROPN
ejpam-3673	269	38	=	=	PRON
ejpam-3673	270	1	(	(	PUNCT
ejpam-3673	270	2	fn	fn	NOUN
ejpam-3673	270	3	:	:	PUNCT
ejpam-3673	270	4	xn	xn	PUNCT
ejpam-3673	270	5	−→	−→	NOUN
ejpam-3673	270	6	yn)n∈z	yn)n∈z	NUM
ejpam-3673	270	7	is	be	AUX
ejpam-3673	270	8	a	a	DET
ejpam-3673	270	9	family	family	NOUN
ejpam-3673	270	10	of	of	ADP
ejpam-3673	270	11	r	r	NOUN
ejpam-3673	270	12	-	-	PUNCT
ejpam-3673	270	13	modules	module	NOUN
ejpam-3673	270	14	homomorphisms	homomorphism	NOUN
ejpam-3673	270	15	such	such	ADJ
ejpam-3673	270	16	that	that	SCONJ
ejpam-3673	270	17	every	every	DET
ejpam-3673	270	18	rectangle	rectangle	NOUN
ejpam-3673	270	19	commutes	commute	NOUN
ejpam-3673	270	20	and	and	CCONJ
ejpam-3673	270	21	fn	fn	INTJ
ejpam-3673	270	22	(	(	PUNCT
ejpam-3673	270	23	uxn	uxn	ADJ
ejpam-3673	270	24	)	)	PUNCT
ejpam-3673	270	25	⊆	⊆	X
ejpam-3673	270	26	uyn	uyn	NOUN
ejpam-3673	270	27	for	for	ADP
ejpam-3673	270	28	all	all	PRON
ejpam-3673	270	29	n	n	PRON
ejpam-3673	270	30	∈	∈	PROPN
ejpam-3673	270	31	z.	z.	NOUN
ejpam-3673	271	1	we	we	PRON
ejpam-3673	271	2	denote	denote	VERB
ejpam-3673	271	3	the	the	DET
ejpam-3673	271	4	category	category	NOUN
ejpam-3673	271	5	of	of	ADP
ejpam-3673	271	6	weakly	weakly	ADJ
ejpam-3673	271	7	chain	chain	NOUN
ejpam-3673	271	8	u	u	NOUN
ejpam-3673	271	9	-	-	NOUN
ejpam-3673	271	10	complexes	complex	NOUN
ejpam-3673	271	11	as	as	ADP
ejpam-3673	271	12	cu	cu	PROPN
ejpam-3673	271	13	(	(	PUNCT
ejpam-3673	271	14	r	r	NOUN
ejpam-3673	271	15	)	)	PUNCT
ejpam-3673	271	16	.	.	PUNCT
ejpam-3673	272	1	proposition	proposition	NOUN
ejpam-3673	272	2	4	4	NUM
ejpam-3673	272	3	.	.	PUNCT
ejpam-3673	273	1	the	the	DET
ejpam-3673	273	2	category	category	NOUN
ejpam-3673	273	3	cu	cu	NOUN
ejpam-3673	273	4	(	(	PUNCT
ejpam-3673	273	5	r	r	NOUN
ejpam-3673	273	6	)	)	PUNCT
ejpam-3673	273	7	of	of	ADP
ejpam-3673	273	8	weakly	weakly	ADJ
ejpam-3673	273	9	chain	chain	NOUN
ejpam-3673	273	10	u	u	NOUN
ejpam-3673	273	11	-	-	NOUN
ejpam-3673	273	12	complexes	complex	NOUN
ejpam-3673	273	13	is	be	AUX
ejpam-3673	273	14	an	an	DET
ejpam-3673	273	15	additive	additive	ADJ
ejpam-3673	273	16	category	category	NOUN
ejpam-3673	273	17	.	.	PUNCT
ejpam-3673	274	1	proof	proof	NOUN
ejpam-3673	274	2	.	.	PUNCT
ejpam-3673	275	1	the	the	DET
ejpam-3673	275	2	structure	structure	NOUN
ejpam-3673	275	3	of	of	ADP
ejpam-3673	275	4	an	an	DET
ejpam-3673	275	5	abelian	abelian	ADJ
ejpam-3673	275	6	group	group	NOUN
ejpam-3673	275	7	of	of	ADP
ejpam-3673	275	8	homcu	homcu	NOUN
ejpam-3673	275	9	(	(	PUNCT
ejpam-3673	275	10	r	r	NOUN
ejpam-3673	275	11	)	)	PUNCT
ejpam-3673	275	12	(	(	PUNCT
ejpam-3673	275	13	x	x	X
ejpam-3673	275	14	,	,	PUNCT
ejpam-3673	275	15	y	y	PROPN
ejpam-3673	275	16	)	)	PUNCT
ejpam-3673	275	17	and	and	CCONJ
ejpam-3673	275	18	the	the	DET
ejpam-3673	275	19	billinearity	billinearity	NOUN
ejpam-3673	275	20	of	of	ADP
ejpam-3673	275	21	composition	composition	NOUN
ejpam-3673	275	22	of	of	ADP
ejpam-3673	275	23	morphisms	morphism	NOUN
ejpam-3673	275	24	are	be	AUX
ejpam-3673	275	25	inherited	inherit	VERB
ejpam-3673	275	26	from	from	ADP
ejpam-3673	275	27	homc(r	homc(r	NOUN
ejpam-3673	275	28	)	)	PUNCT
ejpam-3673	275	29	(	(	PUNCT
ejpam-3673	275	30	x	x	X
ejpam-3673	275	31	,	,	PUNCT
ejpam-3673	275	32	y	y	PROPN
ejpam-3673	275	33	)	)	PUNCT
ejpam-3673	275	34	.	.	PUNCT
ejpam-3673	276	1	the	the	DET
ejpam-3673	276	2	zero	zero	NUM
ejpam-3673	276	3	object	object	NOUN
ejpam-3673	276	4	in	in	ADP
ejpam-3673	276	5	c	c	PROPN
ejpam-3673	276	6	(	(	PUNCT
ejpam-3673	276	7	r	r	NOUN
ejpam-3673	276	8	)	)	PUNCT
ejpam-3673	276	9	is	be	AUX
ejpam-3673	276	10	also	also	ADV
ejpam-3673	276	11	a	a	DET
ejpam-3673	276	12	zero	zero	NUM
ejpam-3673	276	13	object	object	NOUN
ejpam-3673	276	14	in	in	ADP
ejpam-3673	276	15	cu	cu	PROPN
ejpam-3673	276	16	(	(	PUNCT
ejpam-3673	276	17	r	r	NOUN
ejpam-3673	276	18	)	)	PUNCT
ejpam-3673	276	19	.	.	PUNCT
ejpam-3673	277	1	a	a	DET
ejpam-3673	277	2	biproduct	biproduct	NOUN
ejpam-3673	277	3	of	of	ADP
ejpam-3673	277	4	two	two	NUM
ejpam-3673	277	5	objects	object	NOUN
ejpam-3673	277	6	x	x	PUNCT
ejpam-3673	277	7	and	and	CCONJ
ejpam-3673	277	8	y	y	PROPN
ejpam-3673	277	9	is	be	AUX
ejpam-3673	277	10	quintuple	quintuple	NOUN
ejpam-3673	277	11	(	(	PUNCT
ejpam-3673	277	12	x	x	PROPN
ejpam-3673	277	13	⊕	⊕	PROPN
ejpam-3673	277	14	y	y	PROPN
ejpam-3673	277	15	,	,	PUNCT
ejpam-3673	277	16	px	px	PROPN
ejpam-3673	277	17	,	,	PUNCT
ejpam-3673	277	18	py	py	INTJ
ejpam-3673	277	19	,	,	PUNCT
ejpam-3673	277	20	sx	sx	PROPN
ejpam-3673	277	21	,	,	PUNCT
ejpam-3673	277	22	sy	sy	PROPN
ejpam-3673	277	23	)	)	PUNCT
ejpam-3673	277	24	where	where	SCONJ
ejpam-3673	277	25	x	x	PROPN
ejpam-3673	277	26	⊕	⊕	PROPN
ejpam-3673	277	27	y	y	PROPN
ejpam-3673	277	28	,	,	PUNCT
ejpam-3673	277	29	px	px	PROPN
ejpam-3673	277	30	,	,	PUNCT
ejpam-3673	277	31	py	py	INTJ
ejpam-3673	277	32	,	,	PUNCT
ejpam-3673	277	33	sx	sx	PROPN
ejpam-3673	277	34	and	and	CCONJ
ejpam-3673	277	35	sy	sy	PROPN
ejpam-3673	277	36	are	be	AUX
ejpam-3673	277	37	defined	define	VERB
ejpam-3673	277	38	as	as	ADP
ejpam-3673	277	39	follow	follow	NOUN
ejpam-3673	277	40	:	:	PUNCT
ejpam-3673	277	41	x	x	PUNCT
ejpam-3673	277	42	⊕	⊕	NOUN
ejpam-3673	277	43	y	y	NOUN
ejpam-3673	277	44	=	=	PRON
ejpam-3673	277	45	(	(	PUNCT
ejpam-3673	277	46	x	x	PROPN
ejpam-3673	277	47	⊕	⊕	PROPN
ejpam-3673	277	48	y	y	PROPN
ejpam-3673	277	49	,	,	PUNCT
ejpam-3673	277	50	ux⊕y	ux⊕y	PROPN
ejpam-3673	277	51	,	,	PUNCT
ejpam-3673	277	52	dx⊕y	dx⊕y	PROPN
ejpam-3673	277	53	)	)	PUNCT
ejpam-3673	277	54	=	=	SYM
ejpam-3673	278	1	(	(	PUNCT
ejpam-3673	278	2	xn	xn	PROPN
ejpam-3673	278	3	⊕	⊕	PROPN
ejpam-3673	278	4	yn	yn	PROPN
ejpam-3673	278	5	,	,	PUNCT
ejpam-3673	278	6	ux⊕yn	ux⊕yn	PROPN
ejpam-3673	278	7	,	,	PUNCT
ejpam-3673	278	8	dx⊕yn	dx⊕yn	PROPN
ejpam-3673	278	9	)	)	PUNCT
ejpam-3673	278	10	n∈z	n∈z	NOUN
ejpam-3673	278	11	(	(	PUNCT
ejpam-3673	278	12	37	37	NUM
ejpam-3673	278	13	)	)	PUNCT
ejpam-3673	278	14	where	where	SCONJ
ejpam-3673	278	15	ux⊕yn	ux⊕yn	ADV
ejpam-3673	278	16	=	=	X
ejpam-3673	278	17	(	(	PUNCT
ejpam-3673	278	18	uxn	uxn	INTJ
ejpam-3673	278	19	uyn	uyn	NOUN
ejpam-3673	278	20	)	)	PUNCT
ejpam-3673	278	21	and	and	CCONJ
ejpam-3673	278	22	dx⊕yn	dx⊕yn	PROPN
ejpam-3673	279	1	=	=	PRON
ejpam-3673	279	2	(	(	PUNCT
ejpam-3673	279	3	dxn	dxn	VERB
ejpam-3673	279	4	0	0	NUM
ejpam-3673	279	5	0	0	NUM
ejpam-3673	279	6	dyn	dyn	NOUN
ejpam-3673	279	7	)	)	PUNCT
ejpam-3673	279	8	(	(	PUNCT
ejpam-3673	279	9	38	38	NUM
ejpam-3673	279	10	)	)	PUNCT
ejpam-3673	279	11	(	(	PUNCT
ejpam-3673	279	12	sx)n	sx)n	PROPN
ejpam-3673	279	13	=	=	SYM
ejpam-3673	279	14	(	(	PUNCT
ejpam-3673	279	15	1	1	NUM
ejpam-3673	279	16	0	0	NUM
ejpam-3673	279	17	)	)	PUNCT
ejpam-3673	279	18	,	,	PUNCT
ejpam-3673	279	19	(	(	PUNCT
ejpam-3673	279	20	sy	sy	INTJ
ejpam-3673	279	21	)	)	PUNCT
ejpam-3673	279	22	n	n	NOUN
ejpam-3673	279	23	=	=	SYM
ejpam-3673	279	24	(	(	PUNCT
ejpam-3673	279	25	0	0	NUM
ejpam-3673	279	26	1	1	NUM
ejpam-3673	279	27	)	)	PUNCT
ejpam-3673	279	28	,	,	PUNCT
ejpam-3673	279	29	(	(	PUNCT
ejpam-3673	279	30	39	39	NUM
ejpam-3673	279	31	)	)	PUNCT
ejpam-3673	279	32	(	(	PUNCT
ejpam-3673	279	33	px)n	px)n	NOUN
ejpam-3673	279	34	=	=	SYM
ejpam-3673	279	35	(	(	PUNCT
ejpam-3673	279	36	1	1	NUM
ejpam-3673	279	37	0	0	NUM
ejpam-3673	279	38	)	)	PUNCT
ejpam-3673	279	39	,	,	PUNCT
ejpam-3673	279	40	(	(	PUNCT
ejpam-3673	279	41	py	py	INTJ
ejpam-3673	279	42	)	)	PUNCT
ejpam-3673	279	43	n	n	NOUN
ejpam-3673	279	44	=	=	PRON
ejpam-3673	279	45	(	(	PUNCT
ejpam-3673	279	46	0	0	NUM
ejpam-3673	279	47	1	1	NUM
ejpam-3673	279	48	)	)	PUNCT
ejpam-3673	279	49	(	(	PUNCT
ejpam-3673	279	50	40	40	NUM
ejpam-3673	279	51	)	)	PUNCT
ejpam-3673	279	52	analog	analog	NOUN
ejpam-3673	279	53	to	to	ADP
ejpam-3673	279	54	the	the	DET
ejpam-3673	279	55	definition	definition	NOUN
ejpam-3673	279	56	of	of	ADP
ejpam-3673	279	57	homotopy	homotopy	NOUN
ejpam-3673	279	58	equivalent	equivalent	NOUN
ejpam-3673	279	59	in	in	ADP
ejpam-3673	279	60	the	the	DET
ejpam-3673	279	61	category	category	NOUN
ejpam-3673	279	62	of	of	ADP
ejpam-3673	279	63	u	u	NOUN
ejpam-3673	279	64	-	-	NOUN
ejpam-3673	279	65	complexes	complex	NOUN
ejpam-3673	279	66	,	,	PUNCT
ejpam-3673	279	67	we	we	PRON
ejpam-3673	279	68	call	call	VERB
ejpam-3673	279	69	two	two	NUM
ejpam-3673	279	70	morphisms	morphism	NOUN
ejpam-3673	279	71	f	f	NOUN
ejpam-3673	279	72	,	,	PUNCT
ejpam-3673	279	73	g	g	PROPN
ejpam-3673	279	74	∈	∈	PROPN
ejpam-3673	279	75	homcu	homcu	NOUN
ejpam-3673	279	76	(	(	PUNCT
ejpam-3673	279	77	r	r	NOUN
ejpam-3673	279	78	)	)	PUNCT
ejpam-3673	279	79	(	(	PUNCT
ejpam-3673	279	80	x	x	X
ejpam-3673	279	81	,	,	PUNCT
ejpam-3673	279	82	y	y	PROPN
ejpam-3673	279	83	)	)	PUNCT
ejpam-3673	279	84	are	be	AUX
ejpam-3673	279	85	homotopy	homotopy	NOUN
ejpam-3673	279	86	equivalent	equivalent	ADJ
ejpam-3673	279	87	if	if	SCONJ
ejpam-3673	279	88	f	f	PROPN
ejpam-3673	279	89	−	−	PROPN
ejpam-3673	279	90	g	g	PROPN
ejpam-3673	279	91	is	be	AUX
ejpam-3673	279	92	homotopic	homotopic	ADJ
ejpam-3673	279	93	to	to	ADP
ejpam-3673	279	94	zero	zero	NUM
ejpam-3673	279	95	(	(	PUNCT
ejpam-3673	279	96	or	or	CCONJ
ejpam-3673	279	97	null	null	ADJ
ejpam-3673	279	98	homotopic	homotopic	NOUN
ejpam-3673	279	99	)	)	PUNCT
ejpam-3673	279	100	,	,	PUNCT
ejpam-3673	279	101	i.e.	i.e.	X
ejpam-3673	279	102	,	,	PUNCT
ejpam-3673	279	103	there	there	PRON
ejpam-3673	279	104	exists	exist	VERB
ejpam-3673	279	105	a	a	DET
ejpam-3673	279	106	chain	chain	NOUN
ejpam-3673	279	107	map	map	NOUN
ejpam-3673	279	108	s	s	PART
ejpam-3673	279	109	=	=	PUNCT
ejpam-3673	279	110	(	(	PUNCT
ejpam-3673	279	111	sn	sn	PROPN
ejpam-3673	279	112	:	:	PUNCT
ejpam-3673	279	113	xn	xn	PUNCT
ejpam-3673	280	1	−→	−→	ADJ
ejpam-3673	280	2	yn+1)n∈z	yn+1)n∈z	NOUN
ejpam-3673	280	3	such	such	ADJ
ejpam-3673	280	4	that	that	DET
ejpam-3673	280	5	fn	fn	PROPN
ejpam-3673	281	1	−	−	PROPN
ejpam-3673	281	2	gn	gn	X
ejpam-3673	282	1	=	=	PRON
ejpam-3673	282	2	dyn+1sn	dyn+1sn	NOUN
ejpam-3673	282	3	+	+	CCONJ
ejpam-3673	282	4	sn−1d	sn−1d	NOUN
ejpam-3673	282	5	x	x	SYM
ejpam-3673	282	6	n	n	NOUN
ejpam-3673	282	7	and	and	CCONJ
ejpam-3673	282	8	sn	sn	PROPN
ejpam-3673	282	9	(	(	PUNCT
ejpam-3673	282	10	uxn	uxn	ADJ
ejpam-3673	282	11	)	)	PUNCT
ejpam-3673	282	12	⊆	⊆	NUM
ejpam-3673	282	13	uyn+1	uyn+1	NOUN
ejpam-3673	282	14	(	(	PUNCT
ejpam-3673	282	15	41	41	NUM
ejpam-3673	282	16	)	)	PUNCT
ejpam-3673	283	1	g.	g.	PROPN
ejpam-3673	283	2	elfiyanti	elfiyanti	PROPN
ejpam-3673	283	3	et	et	PROPN
ejpam-3673	283	4	al	al	PROPN
ejpam-3673	283	5	.	.	PUNCT
ejpam-3673	283	6	/	/	SYM
ejpam-3673	283	7	eur	eur	PROPN
ejpam-3673	283	8	.	.	PUNCT
ejpam-3673	284	1	j.	j.	PROPN
ejpam-3673	284	2	pure	pure	PROPN
ejpam-3673	284	3	appl	appl	PROPN
ejpam-3673	284	4	.	.	PROPN
ejpam-3673	284	5	math	math	PROPN
ejpam-3673	284	6	,	,	PUNCT
ejpam-3673	284	7	13	13	NUM
ejpam-3673	284	8	(	(	PUNCT
ejpam-3673	284	9	2	2	NUM
ejpam-3673	284	10	)	)	PUNCT
ejpam-3673	284	11	(	(	PUNCT
ejpam-3673	284	12	2020	2020	NUM
ejpam-3673	284	13	)	)	PUNCT
ejpam-3673	284	14	,	,	PUNCT
ejpam-3673	284	15	323	323	NUM
ejpam-3673	284	16	-	-	SYM
ejpam-3673	284	17	345	345	NUM
ejpam-3673	284	18	334	334	NUM
ejpam-3673	284	19	we	we	PRON
ejpam-3673	284	20	called	call	VERB
ejpam-3673	284	21	a	a	DET
ejpam-3673	284	22	weakly	weakly	ADJ
ejpam-3673	284	23	chain	chain	NOUN
ejpam-3673	284	24	u	u	NOUN
ejpam-3673	284	25	-	-	NOUN
ejpam-3673	284	26	complex	complex	ADJ
ejpam-3673	284	27	x	x	PUNCT
ejpam-3673	284	28	is	be	AUX
ejpam-3673	284	29	homotopic	homotopic	ADJ
ejpam-3673	284	30	to	to	ADP
ejpam-3673	284	31	zero	zero	NUM
ejpam-3673	284	32	(	(	PUNCT
ejpam-3673	284	33	or	or	CCONJ
ejpam-3673	284	34	null	null	ADJ
ejpam-3673	284	35	homotopic	homotopic	NOUN
ejpam-3673	284	36	)	)	PUNCT
ejpam-3673	284	37	if	if	SCONJ
ejpam-3673	284	38	the	the	DET
ejpam-3673	284	39	identity	identity	NOUN
ejpam-3673	284	40	morphism	morphism	NOUN
ejpam-3673	284	41	on	on	ADP
ejpam-3673	284	42	x	x	PUNCT
ejpam-3673	284	43	is	be	AUX
ejpam-3673	284	44	homotopic	homotopic	ADJ
ejpam-3673	284	45	to	to	ADP
ejpam-3673	284	46	zero	zero	NUM
ejpam-3673	284	47	.	.	PUNCT
ejpam-3673	285	1	it	it	PRON
ejpam-3673	285	2	is	be	AUX
ejpam-3673	285	3	clear	clear	ADJ
ejpam-3673	285	4	that	that	SCONJ
ejpam-3673	285	5	the	the	DET
ejpam-3673	285	6	homotopy	homotopy	NOUN
ejpam-3673	285	7	relation	relation	NOUN
ejpam-3673	285	8	is	be	AUX
ejpam-3673	285	9	an	an	DET
ejpam-3673	285	10	equivalence	equivalence	NOUN
ejpam-3673	285	11	relation	relation	NOUN
ejpam-3673	285	12	on	on	ADP
ejpam-3673	285	13	the	the	DET
ejpam-3673	285	14	class	class	NOUN
ejpam-3673	285	15	of	of	ADP
ejpam-3673	285	16	morphisms	morphism	NOUN
ejpam-3673	285	17	in	in	ADP
ejpam-3673	285	18	cu	cu	PROPN
ejpam-3673	285	19	(	(	PUNCT
ejpam-3673	285	20	r	r	NOUN
ejpam-3673	285	21	)	)	PUNCT
ejpam-3673	285	22	and	and	CCONJ
ejpam-3673	285	23	the	the	DET
ejpam-3673	285	24	collection	collection	NOUN
ejpam-3673	285	25	of	of	ADP
ejpam-3673	285	26	homotopy	homotopy	NOUN
ejpam-3673	285	27	equivalence	equivalence	NOUN
ejpam-3673	285	28	classes	class	NOUN
ejpam-3673	285	29	of	of	ADP
ejpam-3673	285	30	morphisms	morphism	NOUN
ejpam-3673	285	31	in	in	ADP
ejpam-3673	285	32	cu	cu	PROPN
ejpam-3673	285	33	(	(	PUNCT
ejpam-3673	285	34	r	r	NOUN
ejpam-3673	285	35	)	)	PUNCT
ejpam-3673	285	36	form	form	NOUN
ejpam-3673	285	37	an	an	DET
ejpam-3673	285	38	ideal	ideal	NOUN
ejpam-3673	285	39	in	in	ADP
ejpam-3673	285	40	cu	cu	PROPN
ejpam-3673	285	41	(	(	PUNCT
ejpam-3673	285	42	r	r	NOUN
ejpam-3673	285	43	)	)	PUNCT
ejpam-3673	285	44	.	.	PUNCT
ejpam-3673	286	1	we	we	PRON
ejpam-3673	286	2	define	define	VERB
ejpam-3673	286	3	the	the	DET
ejpam-3673	286	4	homotopy	homotopy	NOUN
ejpam-3673	286	5	category	category	NOUN
ejpam-3673	286	6	ku	ku	PROPN
ejpam-3673	286	7	(	(	PUNCT
ejpam-3673	286	8	r	r	NOUN
ejpam-3673	286	9	)	)	PUNCT
ejpam-3673	286	10	of	of	ADP
ejpam-3673	286	11	weakly	weakly	ADJ
ejpam-3673	286	12	chain	chain	NOUN
ejpam-3673	286	13	u	u	NOUN
ejpam-3673	286	14	-complexes	-complexe	NOUN
ejpam-3673	286	15	as	as	ADP
ejpam-3673	286	16	the	the	DET
ejpam-3673	286	17	quotient	quotient	NOUN
ejpam-3673	286	18	of	of	ADP
ejpam-3673	286	19	cu	cu	PROPN
ejpam-3673	286	20	(	(	PUNCT
ejpam-3673	286	21	r	r	NOUN
ejpam-3673	286	22	)	)	PUNCT
ejpam-3673	286	23	modulo	modulo	NOUN
ejpam-3673	286	24	this	this	DET
ejpam-3673	286	25	ideal	ideal	NOUN
ejpam-3673	286	26	.	.	PUNCT
ejpam-3673	287	1	since	since	SCONJ
ejpam-3673	287	2	composition	composition	NOUN
ejpam-3673	287	3	and	and	CCONJ
ejpam-3673	287	4	addition	addition	NOUN
ejpam-3673	287	5	are	be	AUX
ejpam-3673	287	6	well	well	ADV
ejpam-3673	287	7	defined	define	VERB
ejpam-3673	287	8	on	on	ADP
ejpam-3673	287	9	the	the	DET
ejpam-3673	287	10	homotopy	homotopy	NOUN
ejpam-3673	287	11	classes	class	NOUN
ejpam-3673	287	12	,	,	PUNCT
ejpam-3673	287	13	it	it	PRON
ejpam-3673	287	14	follows	follow	VERB
ejpam-3673	287	15	that	that	SCONJ
ejpam-3673	287	16	ku	ku	PROPN
ejpam-3673	287	17	(	(	PUNCT
ejpam-3673	287	18	r	r	NOUN
ejpam-3673	287	19	)	)	PUNCT
ejpam-3673	287	20	inherits	inherit	VERB
ejpam-3673	287	21	the	the	DET
ejpam-3673	287	22	bilinear	bilinear	NOUN
ejpam-3673	287	23	composition	composition	NOUN
ejpam-3673	287	24	from	from	ADP
ejpam-3673	287	25	cu	cu	PROPN
ejpam-3673	287	26	(	(	PUNCT
ejpam-3673	287	27	r	r	NOUN
ejpam-3673	287	28	)	)	PUNCT
ejpam-3673	287	29	.	.	PUNCT
ejpam-3673	288	1	therefore	therefore	ADV
ejpam-3673	288	2	we	we	PRON
ejpam-3673	288	3	have	have	VERB
ejpam-3673	288	4	the	the	DET
ejpam-3673	288	5	following	follow	VERB
ejpam-3673	288	6	result	result	NOUN
ejpam-3673	288	7	.	.	PUNCT
ejpam-3673	289	1	proposition	proposition	NOUN
ejpam-3673	289	2	5	5	NUM
ejpam-3673	289	3	.	.	PUNCT
ejpam-3673	290	1	the	the	DET
ejpam-3673	290	2	homotopy	homotopy	NOUN
ejpam-3673	290	3	category	category	NOUN
ejpam-3673	290	4	ku	ku	PROPN
ejpam-3673	290	5	(	(	PUNCT
ejpam-3673	290	6	r	r	NOUN
ejpam-3673	290	7	)	)	PUNCT
ejpam-3673	290	8	of	of	ADP
ejpam-3673	290	9	weakly	weakly	ADJ
ejpam-3673	290	10	chain	chain	NOUN
ejpam-3673	290	11	u	u	NOUN
ejpam-3673	290	12	-	-	NOUN
ejpam-3673	290	13	complexes	complex	NOUN
ejpam-3673	290	14	is	be	AUX
ejpam-3673	290	15	an	an	DET
ejpam-3673	290	16	additive	additive	ADJ
ejpam-3673	290	17	category	category	NOUN
ejpam-3673	290	18	.	.	PUNCT
ejpam-3673	291	1	next	next	ADV
ejpam-3673	291	2	,	,	PUNCT
ejpam-3673	291	3	we	we	PRON
ejpam-3673	291	4	will	will	AUX
ejpam-3673	291	5	show	show	VERB
ejpam-3673	291	6	that	that	PRON
ejpam-3673	291	7	ku	ku	PROPN
ejpam-3673	291	8	(	(	PUNCT
ejpam-3673	291	9	r	r	NOUN
ejpam-3673	291	10	)	)	PUNCT
ejpam-3673	291	11	is	be	AUX
ejpam-3673	291	12	a	a	DET
ejpam-3673	291	13	triangulated	triangulate	VERB
ejpam-3673	291	14	category	category	NOUN
ejpam-3673	291	15	.	.	PUNCT
ejpam-3673	292	1	we	we	PRON
ejpam-3673	292	2	construct	construct	VERB
ejpam-3673	292	3	a	a	DET
ejpam-3673	292	4	translation	translation	NOUN
ejpam-3673	292	5	functor	functor	PROPN
ejpam-3673	292	6	σ	σ	PROPN
ejpam-3673	292	7	on	on	ADP
ejpam-3673	292	8	cu	cu	PROPN
ejpam-3673	292	9	(	(	PUNCT
ejpam-3673	292	10	r	r	NOUN
ejpam-3673	292	11	)	)	PUNCT
ejpam-3673	292	12	analog	analog	NOUN
ejpam-3673	292	13	to	to	ADP
ejpam-3673	292	14	translator	translator	NOUN
ejpam-3673	292	15	functor	functor	NOUN
ejpam-3673	292	16	on	on	ADP
ejpam-3673	292	17	k	k	PROPN
ejpam-3673	292	18	(	(	PUNCT
ejpam-3673	292	19	r	r	NOUN
ejpam-3673	292	20	)	)	PUNCT
ejpam-3673	292	21	.	.	PUNCT
ejpam-3673	293	1	definition	definition	NOUN
ejpam-3673	293	2	8	8	NUM
ejpam-3673	293	3	.	.	PUNCT
ejpam-3673	294	1	the	the	DET
ejpam-3673	294	2	translation	translation	NOUN
ejpam-3673	294	3	functor	functor	PROPN
ejpam-3673	294	4	shift	shift	PROPN
ejpam-3673	294	5	σ	σ	NOUN
ejpam-3673	294	6	of	of	ADP
ejpam-3673	294	7	x	x	X
ejpam-3673	294	8	is	be	AUX
ejpam-3673	294	9	an	an	DET
ejpam-3673	294	10	object	object	NOUN
ejpam-3673	294	11	σx	σx	ADP
ejpam-3673	294	12	=	=	PUNCT
ejpam-3673	294	13	(	(	PUNCT
ejpam-3673	294	14	σxn	σxn	PROPN
ejpam-3673	294	15	,	,	PUNCT
ejpam-3673	294	16	u	u	NOUN
ejpam-3673	294	17	σx	σx	NOUN
ejpam-3673	294	18	n	n	PROPN
ejpam-3673	294	19	,	,	PUNCT
ejpam-3673	294	20	dσx	dσx	NOUN
ejpam-3673	294	21	n	n	CCONJ
ejpam-3673	294	22	)	)	PUNCT
ejpam-3673	294	23	n∈z	n∈z	PRON
ejpam-3673	294	24	defined	define	VERB
ejpam-3673	294	25	by	by	ADP
ejpam-3673	294	26	σxn	σxn	NOUN
ejpam-3673	294	27	=	=	SYM
ejpam-3673	294	28	xn−1	xn−1	PROPN
ejpam-3673	294	29	,	,	PUNCT
ejpam-3673	294	30	u	u	NOUN
ejpam-3673	294	31	σx	σx	NOUN
ejpam-3673	294	32	n	n	PROPN
ejpam-3673	294	33	=	=	SYM
ejpam-3673	294	34	uxn−1	uxn−1	PROPN
ejpam-3673	294	35	,	,	PUNCT
ejpam-3673	294	36	and	and	CCONJ
ejpam-3673	294	37	dσx	dσx	NOUN
ejpam-3673	294	38	n	n	CCONJ
ejpam-3673	294	39	=	=	PUNCT
ejpam-3673	294	40	−dxn−1	−dxn−1	ADJ
ejpam-3673	294	41	(	(	PUNCT
ejpam-3673	294	42	42	42	NUM
ejpam-3673	294	43	)	)	PUNCT
ejpam-3673	294	44	and	and	CCONJ
ejpam-3673	294	45	for	for	ADP
ejpam-3673	294	46	a	a	DET
ejpam-3673	294	47	morphism	morphism	NOUN
ejpam-3673	294	48	f	f	PROPN
ejpam-3673	294	49	=	=	PUNCT
ejpam-3673	294	50	(	(	PUNCT
ejpam-3673	294	51	fn)n∈z	fn)n∈z	NUM
ejpam-3673	294	52	in	in	ADP
ejpam-3673	294	53	ku	ku	PROPN
ejpam-3673	294	54	(	(	PUNCT
ejpam-3673	294	55	r	r	NOUN
ejpam-3673	294	56	)	)	PUNCT
ejpam-3673	294	57	we	we	PRON
ejpam-3673	294	58	set	set	VERB
ejpam-3673	294	59	σf	σf	NOUN
ejpam-3673	294	60	=	=	PUNCT
ejpam-3673	294	61	(	(	PUNCT
ejpam-3673	294	62	σfn)n∈z	σfn)n∈z	VERB
ejpam-3673	294	63	where	where	SCONJ
ejpam-3673	294	64	σfn	σfn	NOUN
ejpam-3673	294	65	=	=	X
ejpam-3673	294	66	fn−1	fn−1	PROPN
ejpam-3673	294	67	.	.	PUNCT
ejpam-3673	295	1	(	(	PUNCT
ejpam-3673	295	2	43	43	NUM
ejpam-3673	295	3	)	)	PUNCT
ejpam-3673	295	4	the	the	DET
ejpam-3673	295	5	functor	functor	PROPN
ejpam-3673	295	6	σ	σ	PROPN
ejpam-3673	295	7	above	above	ADV
ejpam-3673	295	8	is	be	AUX
ejpam-3673	295	9	an	an	DET
ejpam-3673	295	10	additive	additive	ADJ
ejpam-3673	295	11	automorphism	automorphism	NOUN
ejpam-3673	295	12	in	in	ADP
ejpam-3673	295	13	cu	cu	PROPN
ejpam-3673	295	14	(	(	PUNCT
ejpam-3673	295	15	r	r	NOUN
ejpam-3673	295	16	)	)	PUNCT
ejpam-3673	295	17	.	.	PUNCT
ejpam-3673	296	1	moreover	moreover	ADV
ejpam-3673	296	2	it	it	PRON
ejpam-3673	296	3	is	be	AUX
ejpam-3673	296	4	compatible	compatible	ADJ
ejpam-3673	296	5	with	with	ADP
ejpam-3673	296	6	homotopies	homotopie	NOUN
ejpam-3673	296	7	,	,	PUNCT
ejpam-3673	296	8	hence	hence	ADV
ejpam-3673	296	9	we	we	PRON
ejpam-3673	296	10	have	have	VERB
ejpam-3673	296	11	a	a	DET
ejpam-3673	296	12	well	well	ADV
ejpam-3673	296	13	-	-	PUNCT
ejpam-3673	296	14	defined	define	VERB
ejpam-3673	296	15	induced	induce	VERB
ejpam-3673	296	16	functor	functor	PROPN
ejpam-3673	296	17	σ	σ	PROPN
ejpam-3673	296	18	on	on	ADP
ejpam-3673	296	19	ku	ku	PROPN
ejpam-3673	296	20	(	(	PUNCT
ejpam-3673	296	21	r	r	NOUN
ejpam-3673	296	22	)	)	PUNCT
ejpam-3673	296	23	.	.	PUNCT
ejpam-3673	297	1	a	a	DET
ejpam-3673	297	2	triangle	triangle	NOUN
ejpam-3673	297	3	and	and	CCONJ
ejpam-3673	297	4	morphism	morphism	NOUN
ejpam-3673	297	5	of	of	ADP
ejpam-3673	297	6	triangles	triangle	NOUN
ejpam-3673	297	7	in	in	ADP
ejpam-3673	297	8	cu	cu	PROPN
ejpam-3673	297	9	(	(	PUNCT
ejpam-3673	297	10	r	r	NOUN
ejpam-3673	297	11	)	)	PUNCT
ejpam-3673	297	12	is	be	AUX
ejpam-3673	297	13	defined	define	VERB
ejpam-3673	297	14	analog	analog	NOUN
ejpam-3673	297	15	to	to	ADP
ejpam-3673	297	16	the	the	DET
ejpam-3673	297	17	definition	definition	NOUN
ejpam-3673	297	18	of	of	ADP
ejpam-3673	297	19	triangle	triangle	NOUN
ejpam-3673	297	20	and	and	CCONJ
ejpam-3673	297	21	morphism	morphism	NOUN
ejpam-3673	297	22	of	of	ADP
ejpam-3673	297	23	triangles	triangle	NOUN
ejpam-3673	297	24	in	in	ADP
ejpam-3673	297	25	homotopy	homotopy	NOUN
ejpam-3673	297	26	category	category	NOUN
ejpam-3673	297	27	c	c	NOUN
ejpam-3673	297	28	(	(	PUNCT
ejpam-3673	297	29	r	r	NOUN
ejpam-3673	297	30	)	)	PUNCT
ejpam-3673	297	31	of	of	ADP
ejpam-3673	297	32	complexes	complex	NOUN
ejpam-3673	297	33	.	.	PUNCT
ejpam-3673	298	1	lemma	lemma	PROPN
ejpam-3673	298	2	2	2	X
ejpam-3673	298	3	.	.	PUNCT
ejpam-3673	299	1	let	let	VERB
ejpam-3673	299	2	f	f	NOUN
ejpam-3673	299	3	:	:	PUNCT
ejpam-3673	299	4	x	x	PUNCT
ejpam-3673	299	5	−→	−→	NOUN
ejpam-3673	299	6	y	y	NOUN
ejpam-3673	299	7	be	be	AUX
ejpam-3673	299	8	a	a	DET
ejpam-3673	299	9	morphism	morphism	NOUN
ejpam-3673	299	10	in	in	ADP
ejpam-3673	299	11	cu	cu	PROPN
ejpam-3673	299	12	(	(	PUNCT
ejpam-3673	299	13	r	r	NOUN
ejpam-3673	299	14	)	)	PUNCT
ejpam-3673	299	15	then	then	ADV
ejpam-3673	299	16	m	m	VERB
ejpam-3673	299	17	(	(	PUNCT
ejpam-3673	299	18	f	f	X
ejpam-3673	299	19	)	)	PUNCT
ejpam-3673	300	1	=	=	SYM
ejpam-3673	300	2	(	(	PUNCT
ejpam-3673	300	3	m	m	PROPN
ejpam-3673	300	4	(	(	PUNCT
ejpam-3673	300	5	f)n	f)n	NOUN
ejpam-3673	300	6	,	,	PUNCT
ejpam-3673	300	7	u	u	PROPN
ejpam-3673	300	8	m(f	m(f	PROPN
ejpam-3673	300	9	)	)	PUNCT
ejpam-3673	300	10	n	n	PROPN
ejpam-3673	300	11	,	,	PUNCT
ejpam-3673	300	12	dm(f	dm(f	NOUN
ejpam-3673	300	13	)	)	PUNCT
ejpam-3673	300	14	n	n	CCONJ
ejpam-3673	300	15	)	)	PUNCT
ejpam-3673	300	16	n∈z	n∈z	PROPN
ejpam-3673	300	17	(	(	PUNCT
ejpam-3673	300	18	44	44	NUM
ejpam-3673	300	19	)	)	PUNCT
ejpam-3673	300	20	where	where	SCONJ
ejpam-3673	300	21	m	m	VERB
ejpam-3673	300	22	(	(	PUNCT
ejpam-3673	300	23	f)n	f)n	NOUN
ejpam-3673	300	24	=	=	SYM
ejpam-3673	300	25	xn−1	xn−1	PROPN
ejpam-3673	300	26	⊕	⊕	PROPN
ejpam-3673	300	27	yn	yn	PROPN
ejpam-3673	300	28	,	,	PUNCT
ejpam-3673	300	29	um(f	um(f	NOUN
ejpam-3673	300	30	)	)	PUNCT
ejpam-3673	300	31	n	n	NOUN
ejpam-3673	300	32	=	=	SYM
ejpam-3673	300	33	uxn−1	uxn−1	PROPN
ejpam-3673	300	34	⊕	⊕	PROPN
ejpam-3673	300	35	uyn	uyn	VERB
ejpam-3673	300	36	,	,	PUNCT
ejpam-3673	300	37	and	and	CCONJ
ejpam-3673	300	38	dm(f	dm(f	NOUN
ejpam-3673	300	39	)	)	PUNCT
ejpam-3673	300	40	n	n	NOUN
ejpam-3673	300	41	=	=	PUNCT
ejpam-3673	300	42	(	(	PUNCT
ejpam-3673	300	43	−dxn−1	−dxn−1	ADJ
ejpam-3673	300	44	0	0	NUM
ejpam-3673	300	45	fn−1	fn−1	ADJ
ejpam-3673	300	46	dyn	dyn	PROPN
ejpam-3673	300	47	)	)	PUNCT
ejpam-3673	300	48	(	(	PUNCT
ejpam-3673	300	49	45	45	NUM
ejpam-3673	300	50	)	)	PUNCT
ejpam-3673	300	51	is	be	AUX
ejpam-3673	300	52	an	an	DET
ejpam-3673	300	53	object	object	NOUN
ejpam-3673	300	54	in	in	ADP
ejpam-3673	300	55	ku	ku	PROPN
ejpam-3673	300	56	(	(	PUNCT
ejpam-3673	300	57	r	r	NOUN
ejpam-3673	300	58	)	)	PUNCT
ejpam-3673	300	59	proof	proof	NOUN
ejpam-3673	300	60	.	.	PUNCT
ejpam-3673	301	1	from	from	ADP
ejpam-3673	301	2	(	(	PUNCT
ejpam-3673	301	3	31	31	NUM
ejpam-3673	301	4	)	)	PUNCT
ejpam-3673	301	5	we	we	PRON
ejpam-3673	301	6	know	know	VERB
ejpam-3673	301	7	that	that	SCONJ
ejpam-3673	301	8	d	d	PROPN
ejpam-3673	301	9	m(f	m(f	PROPN
ejpam-3673	301	10	)	)	PUNCT
ejpam-3673	301	11	n	n	PROPN
ejpam-3673	301	12	d	d	PROPN
ejpam-3673	301	13	m(f	m(f	PROPN
ejpam-3673	301	14	)	)	PUNCT
ejpam-3673	301	15	n+1	n+1	PROPN
ejpam-3673	302	1	(	(	PUNCT
ejpam-3673	302	2	m	m	PROPN
ejpam-3673	302	3	(	(	PUNCT
ejpam-3673	302	4	f)n+1	f)n+1	NOUN
ejpam-3673	302	5	)	)	PUNCT
ejpam-3673	303	1	⊆	⊆	NUM
ejpam-3673	303	2	u	u	PRON
ejpam-3673	303	3	m(f	m(f	PROPN
ejpam-3673	303	4	)	)	PUNCT
ejpam-3673	303	5	n−1	n−1	PROPN
ejpam-3673	303	6	.	.	PUNCT
ejpam-3673	304	1	now	now	ADV
ejpam-3673	304	2	let	let	VERB
ejpam-3673	304	3	(	(	PUNCT
ejpam-3673	304	4	a	a	PRON
ejpam-3673	304	5	,	,	PUNCT
ejpam-3673	304	6	b	b	NOUN
ejpam-3673	304	7	)	)	PUNCT
ejpam-3673	304	8	∈	∈	PROPN
ejpam-3673	304	9	uxn−1	uxn−1	PROPN
ejpam-3673	304	10	⊕	⊕	PROPN
ejpam-3673	304	11	uyn	uyn	VERB
ejpam-3673	304	12	,	,	PUNCT
ejpam-3673	304	13	note	note	VERB
ejpam-3673	304	14	that	that	SCONJ
ejpam-3673	304	15	dm(f	dm(f	NOUN
ejpam-3673	304	16	)	)	PUNCT
ejpam-3673	304	17	n	n	CCONJ
ejpam-3673	304	18	(	(	PUNCT
ejpam-3673	304	19	a	a	DET
ejpam-3673	304	20	,	,	PUNCT
ejpam-3673	304	21	b	b	NOUN
ejpam-3673	304	22	)	)	PUNCT
ejpam-3673	304	23	=	=	SYM
ejpam-3673	304	24	(	(	PUNCT
ejpam-3673	304	25	−dxn−1	−dxn−1	ADJ
ejpam-3673	304	26	0	0	NUM
ejpam-3673	304	27	fn−1	fn−1	ADJ
ejpam-3673	304	28	dyn	dyn	PROPN
ejpam-3673	304	29	)	)	PUNCT
ejpam-3673	304	30	(	(	PUNCT
ejpam-3673	304	31	a	a	DET
ejpam-3673	304	32	b	b	NOUN
ejpam-3673	304	33	)	)	PUNCT
ejpam-3673	304	34	=	=	SYM
ejpam-3673	304	35	(	(	PUNCT
ejpam-3673	304	36	−dxn−1	−dxn−1	ADJ
ejpam-3673	304	37	(	(	PUNCT
ejpam-3673	304	38	a	a	NOUN
ejpam-3673	304	39	)	)	PUNCT
ejpam-3673	304	40	fn−1	fn−1	ADJ
ejpam-3673	304	41	(	(	PUNCT
ejpam-3673	304	42	a	a	NOUN
ejpam-3673	304	43	)	)	PUNCT
ejpam-3673	304	44	+	+	CCONJ
ejpam-3673	304	45	dyn	dyn	NOUN
ejpam-3673	304	46	(	(	PUNCT
ejpam-3673	304	47	b	b	NOUN
ejpam-3673	304	48	)	)	PUNCT
ejpam-3673	304	49	)	)	PUNCT
ejpam-3673	305	1	∈	∈	PROPN
ejpam-3673	305	2	um(f	um(f	NOUN
ejpam-3673	305	3	)	)	PUNCT
ejpam-3673	305	4	n−1	n−1	PROPN
ejpam-3673	305	5	(	(	PUNCT
ejpam-3673	305	6	46	46	NUM
ejpam-3673	305	7	)	)	PUNCT
ejpam-3673	305	8	the	the	DET
ejpam-3673	305	9	object	object	NOUN
ejpam-3673	305	10	m	m	VERB
ejpam-3673	305	11	(	(	PUNCT
ejpam-3673	305	12	f	f	X
ejpam-3673	305	13	)	)	PUNCT
ejpam-3673	305	14	above	above	ADV
ejpam-3673	305	15	is	be	AUX
ejpam-3673	305	16	called	call	VERB
ejpam-3673	305	17	the	the	DET
ejpam-3673	305	18	mapping	mapping	NOUN
ejpam-3673	305	19	cone	cone	NOUN
ejpam-3673	305	20	of	of	ADP
ejpam-3673	305	21	f	f	PROPN
ejpam-3673	305	22	.	.	PUNCT
ejpam-3673	306	1	g.	g.	PROPN
ejpam-3673	306	2	elfiyanti	elfiyanti	PROPN
ejpam-3673	306	3	et	et	PROPN
ejpam-3673	306	4	al	al	PROPN
ejpam-3673	306	5	.	.	PUNCT
ejpam-3673	306	6	/	/	SYM
ejpam-3673	306	7	eur	eur	PROPN
ejpam-3673	306	8	.	.	PUNCT
ejpam-3673	307	1	j.	j.	PROPN
ejpam-3673	307	2	pure	pure	PROPN
ejpam-3673	307	3	appl	appl	PROPN
ejpam-3673	307	4	.	.	PROPN
ejpam-3673	307	5	math	math	PROPN
ejpam-3673	307	6	,	,	PUNCT
ejpam-3673	307	7	13	13	NUM
ejpam-3673	307	8	(	(	PUNCT
ejpam-3673	307	9	2	2	NUM
ejpam-3673	307	10	)	)	PUNCT
ejpam-3673	307	11	(	(	PUNCT
ejpam-3673	307	12	2020	2020	NUM
ejpam-3673	307	13	)	)	PUNCT
ejpam-3673	307	14	,	,	PUNCT
ejpam-3673	307	15	323	323	NUM
ejpam-3673	307	16	-	-	SYM
ejpam-3673	307	17	345	345	NUM
ejpam-3673	307	18	335	335	NUM
ejpam-3673	307	19	lemma	lemma	PROPN
ejpam-3673	307	20	3	3	NUM
ejpam-3673	307	21	.	.	PUNCT
ejpam-3673	308	1	the	the	DET
ejpam-3673	308	2	mapping	mapping	NOUN
ejpam-3673	308	3	cone	cone	NOUN
ejpam-3673	308	4	m	m	PROPN
ejpam-3673	308	5	(	(	PUNCT
ejpam-3673	308	6	1	1	NUM
ejpam-3673	308	7	)	)	PUNCT
ejpam-3673	308	8	of	of	ADP
ejpam-3673	308	9	identity	identity	NOUN
ejpam-3673	308	10	morphims	morphim	NOUN
ejpam-3673	308	11	on	on	ADP
ejpam-3673	308	12	x	x	X
ejpam-3673	308	13	is	be	AUX
ejpam-3673	308	14	homotopic	homotopic	ADJ
ejpam-3673	308	15	to	to	ADP
ejpam-3673	308	16	zero	zero	NUM
ejpam-3673	308	17	.	.	PUNCT
ejpam-3673	309	1	proof	proof	NOUN
ejpam-3673	309	2	.	.	PUNCT
ejpam-3673	310	1	the	the	DET
ejpam-3673	310	2	mapping	mapping	NOUN
ejpam-3673	310	3	cone	cone	NOUN
ejpam-3673	310	4	of	of	ADP
ejpam-3673	310	5	identity	identity	NOUN
ejpam-3673	310	6	morphism	morphism	NOUN
ejpam-3673	310	7	on	on	ADP
ejpam-3673	310	8	x	x	PROPN
ejpam-3673	310	9	is	be	AUX
ejpam-3673	310	10	m	m	PROPN
ejpam-3673	310	11	(	(	PUNCT
ejpam-3673	310	12	1	1	NUM
ejpam-3673	310	13	)	)	PUNCT
ejpam-3673	310	14	=	=	SYM
ejpam-3673	311	1	(	(	PUNCT
ejpam-3673	311	2	xn−1	xn−1	PROPN
ejpam-3673	311	3	⊕xn	⊕xn	PROPN
ejpam-3673	311	4	,	,	PUNCT
ejpam-3673	311	5	u	u	NOUN
ejpam-3673	311	6	x	x	PROPN
ejpam-3673	311	7	n−1	n−1	PROPN
ejpam-3673	311	8	⊕	⊕	PROPN
ejpam-3673	311	9	uxn	uxn	ADJ
ejpam-3673	311	10	,	,	PUNCT
ejpam-3673	311	11	dm(1	dm(1	NOUN
ejpam-3673	311	12	)	)	PUNCT
ejpam-3673	311	13	n	n	CCONJ
ejpam-3673	311	14	)	)	PUNCT
ejpam-3673	311	15	n∈z	n∈z	PROPN
ejpam-3673	311	16	(	(	PUNCT
ejpam-3673	311	17	47	47	NUM
ejpam-3673	311	18	)	)	PUNCT
ejpam-3673	311	19	where	where	SCONJ
ejpam-3673	311	20	dm(1	dm(1	NOUN
ejpam-3673	311	21	)	)	PUNCT
ejpam-3673	311	22	n	n	NOUN
ejpam-3673	311	23	=	=	PUNCT
ejpam-3673	311	24	(	(	PUNCT
ejpam-3673	311	25	−dxn−1	−dxn−1	ADJ
ejpam-3673	311	26	0	0	NUM
ejpam-3673	311	27	1	1	NUM
ejpam-3673	311	28	dxn	dxn	PROPN
ejpam-3673	311	29	)	)	PUNCT
ejpam-3673	311	30	:	:	PUNCT
ejpam-3673	312	1	xn−1	xn−1	PROPN
ejpam-3673	312	2	⊕xn	⊕xn	ADP
ejpam-3673	312	3	−→	−→	NOUN
ejpam-3673	312	4	xn−2	xn−2	PROPN
ejpam-3673	312	5	⊕xn−1	⊕xn−1	PROPN
ejpam-3673	312	6	(	(	PUNCT
ejpam-3673	312	7	48	48	NUM
ejpam-3673	312	8	)	)	PUNCT
ejpam-3673	312	9	look	look	VERB
ejpam-3673	312	10	at	at	ADP
ejpam-3673	312	11	the	the	DET
ejpam-3673	312	12	following	following	ADJ
ejpam-3673	312	13	diagram	diagram	NOUN
ejpam-3673	312	14	.	.	PUNCT
ejpam-3673	312	15	·	·	PUNCT
ejpam-3673	312	16	·	·	PUNCT
ejpam-3673	312	17	·	·	PUNCT
ejpam-3673	313	1	xn	xn	PUNCT
ejpam-3673	313	2	⊕xn+1	⊕xn+1	X
ejpam-3673	314	1	xn−1	xn−1	PROPN
ejpam-3673	314	2	⊕xn	⊕xn	PROPN
ejpam-3673	314	3	xn−2	xn−2	PROPN
ejpam-3673	314	4	⊕xn−1	⊕xn−1	PROPN
ejpam-3673	314	5	·	·	PUNCT
ejpam-3673	314	6	·	·	PUNCT
ejpam-3673	314	7	·	·	PUNCT
ejpam-3673	314	8	·	·	PUNCT
ejpam-3673	314	9	·	·	PUNCT
ejpam-3673	314	10	·	·	PUNCT
ejpam-3673	315	1	xn	xn	PUNCT
ejpam-3673	315	2	⊕xn+1	⊕xn+1	X
ejpam-3673	316	1	xn−1	xn−1	PROPN
ejpam-3673	316	2	⊕xn	⊕xn	PROPN
ejpam-3673	316	3	xn−2	xn−2	PROPN
ejpam-3673	316	4	⊕xn−1	⊕xn−1	PROPN
ejpam-3673	316	5	·	·	PUNCT
ejpam-3673	316	6	·	·	PUNCT
ejpam-3673	316	7	·	·	PUNCT
ejpam-3673	317	1	d	d	X
ejpam-3673	317	2	m(1	m(1	NOUN
ejpam-3673	317	3	)	)	PUNCT
ejpam-3673	318	1	n+1	n+1	PROPN
ejpam-3673	318	2	d	d	X
ejpam-3673	318	3	m(1	m(1	PROPN
ejpam-3673	318	4	)	)	PUNCT
ejpam-3673	318	5	n	n	CCONJ
ejpam-3673	318	6	1	1	NUM
ejpam-3673	318	7	sn	sn	NOUN
ejpam-3673	318	8	sn−1	sn−1	PROPN
ejpam-3673	318	9	d	d	PROPN
ejpam-3673	318	10	m(1	m(1	PROPN
ejpam-3673	318	11	)	)	PUNCT
ejpam-3673	319	1	n+1	n+1	PROPN
ejpam-3673	319	2	d	d	X
ejpam-3673	319	3	m(1	m(1	PROPN
ejpam-3673	319	4	)	)	PUNCT
ejpam-3673	319	5	n	n	CCONJ
ejpam-3673	319	6	(	(	PUNCT
ejpam-3673	319	7	49	49	NUM
ejpam-3673	319	8	)	)	PUNCT
ejpam-3673	319	9	suppose	suppose	VERB
ejpam-3673	319	10	sn	sn	INTJ
ejpam-3673	319	11	:	:	PUNCT
ejpam-3673	320	1	xn−1	xn−1	PROPN
ejpam-3673	320	2	⊕xn	⊕xn	PROPN
ejpam-3673	320	3	→	→	SYM
ejpam-3673	320	4	xn	xn	SYM
ejpam-3673	320	5	⊕xn+1	⊕xn+1	ADJ
ejpam-3673	320	6	is	be	AUX
ejpam-3673	320	7	defined	define	VERB
ejpam-3673	320	8	by	by	ADP
ejpam-3673	320	9	sn	sn	PROPN
ejpam-3673	320	10	=	=	PUNCT
ejpam-3673	321	1	(	(	PUNCT
ejpam-3673	321	2	0	0	NUM
ejpam-3673	321	3	1	1	NUM
ejpam-3673	321	4	0	0	NUM
ejpam-3673	321	5	0	0	NUM
ejpam-3673	321	6	)	)	PUNCT
ejpam-3673	321	7	.	.	PUNCT
ejpam-3673	322	1	it	it	PRON
ejpam-3673	322	2	is	be	AUX
ejpam-3673	322	3	clear	clear	ADJ
ejpam-3673	322	4	that	that	SCONJ
ejpam-3673	322	5	sn	sn	PROPN
ejpam-3673	322	6	(	(	PUNCT
ejpam-3673	322	7	u	u	NOUN
ejpam-3673	322	8	m(1	m(1	PROPN
ejpam-3673	322	9	)	)	PUNCT
ejpam-3673	322	10	n	n	CCONJ
ejpam-3673	322	11	)	)	PUNCT
ejpam-3673	322	12	⊆	⊆	NUM
ejpam-3673	322	13	um(1	um(1	NOUN
ejpam-3673	322	14	)	)	PUNCT
ejpam-3673	322	15	n+1	n+1	PROPN
ejpam-3673	322	16	and	and	CCONJ
ejpam-3673	322	17	d	d	PROPN
ejpam-3673	322	18	m(1	m(1	PROPN
ejpam-3673	322	19	)	)	PUNCT
ejpam-3673	322	20	n	n	CCONJ
ejpam-3673	322	21	(	(	PUNCT
ejpam-3673	322	22	u	u	NOUN
ejpam-3673	322	23	m(1	m(1	PROPN
ejpam-3673	322	24	)	)	PUNCT
ejpam-3673	322	25	n	n	CCONJ
ejpam-3673	322	26	)	)	PUNCT
ejpam-3673	322	27	⊆	⊆	NUM
ejpam-3673	322	28	um(1	um(1	NOUN
ejpam-3673	322	29	)	)	PUNCT
ejpam-3673	322	30	n−1	n−1	PROPN
ejpam-3673	322	31	.	.	PUNCT
ejpam-3673	323	1	observe	observe	VERB
ejpam-3673	323	2	that	that	SCONJ
ejpam-3673	323	3	d	d	PROPN
ejpam-3673	323	4	m(1	m(1	NOUN
ejpam-3673	323	5	)	)	PUNCT
ejpam-3673	323	6	n+1	n+1	PROPN
ejpam-3673	323	7	sn	sn	PROPN
ejpam-3673	323	8	+	+	CCONJ
ejpam-3673	323	9	sn−1d	sn−1d	NOUN
ejpam-3673	323	10	m(1	m(1	NOUN
ejpam-3673	323	11	)	)	PUNCT
ejpam-3673	323	12	n	n	NOUN
ejpam-3673	323	13	=	=	PRON
ejpam-3673	323	14	(	(	PUNCT
ejpam-3673	323	15	−dxn	−dxn	NOUN
ejpam-3673	323	16	0	0	NUM
ejpam-3673	323	17	1	1	NUM
ejpam-3673	323	18	dxn+1	dxn+1	X
ejpam-3673	323	19	)	)	PUNCT
ejpam-3673	323	20	(	(	PUNCT
ejpam-3673	323	21	0	0	NUM
ejpam-3673	323	22	1	1	NUM
ejpam-3673	323	23	0	0	NUM
ejpam-3673	323	24	0	0	NUM
ejpam-3673	323	25	)	)	PUNCT
ejpam-3673	324	1	+	+	CCONJ
ejpam-3673	324	2	(	(	PUNCT
ejpam-3673	324	3	0	0	NUM
ejpam-3673	324	4	1	1	NUM
ejpam-3673	324	5	0	0	NUM
ejpam-3673	324	6	0	0	NUM
ejpam-3673	324	7	)	)	PUNCT
ejpam-3673	324	8	(	(	PUNCT
ejpam-3673	324	9	−dxn−1	−dxn−1	ADJ
ejpam-3673	324	10	0	0	NUM
ejpam-3673	324	11	1	1	NUM
ejpam-3673	324	12	dxn	dxn	NOUN
ejpam-3673	324	13	)	)	PUNCT
ejpam-3673	324	14	=	=	PUNCT
ejpam-3673	324	15	(	(	PUNCT
ejpam-3673	324	16	1	1	NUM
ejpam-3673	324	17	0	0	NUM
ejpam-3673	324	18	0	0	NUM
ejpam-3673	324	19	1	1	NUM
ejpam-3673	324	20	)	)	PUNCT
ejpam-3673	324	21	(	(	PUNCT
ejpam-3673	324	22	50	50	NUM
ejpam-3673	324	23	)	)	PUNCT
ejpam-3673	324	24	hence	hence	ADV
ejpam-3673	324	25	,	,	PUNCT
ejpam-3673	324	26	in	in	ADP
ejpam-3673	324	27	the	the	DET
ejpam-3673	324	28	homotopy	homotopy	NOUN
ejpam-3673	324	29	category	category	NOUN
ejpam-3673	324	30	ku	ku	PROPN
ejpam-3673	324	31	(	(	PUNCT
ejpam-3673	324	32	r	r	NOUN
ejpam-3673	324	33	)	)	PUNCT
ejpam-3673	324	34	of	of	ADP
ejpam-3673	324	35	weakly	weakly	ADJ
ejpam-3673	324	36	chain	chain	NOUN
ejpam-3673	324	37	u	u	NOUN
ejpam-3673	324	38	-	-	NOUN
ejpam-3673	324	39	complexes	complex	NOUN
ejpam-3673	324	40	,	,	PUNCT
ejpam-3673	324	41	the	the	DET
ejpam-3673	324	42	identity	identity	NOUN
ejpam-3673	324	43	morphism	morphism	NOUN
ejpam-3673	324	44	on	on	ADP
ejpam-3673	324	45	m	m	PROPN
ejpam-3673	324	46	(	(	PUNCT
ejpam-3673	324	47	1	1	NUM
ejpam-3673	324	48	)	)	PUNCT
ejpam-3673	324	49	is	be	AUX
ejpam-3673	324	50	equal	equal	ADJ
ejpam-3673	324	51	to	to	ADP
ejpam-3673	324	52	the	the	DET
ejpam-3673	324	53	zero	zero	NUM
ejpam-3673	324	54	map	map	NOUN
ejpam-3673	324	55	.	.	PUNCT
ejpam-3673	325	1	as	as	ADP
ejpam-3673	325	2	a	a	DET
ejpam-3673	325	3	censequence	censequence	NOUN
ejpam-3673	325	4	,	,	PUNCT
ejpam-3673	325	5	in	in	ADP
ejpam-3673	325	6	the	the	DET
ejpam-3673	325	7	ku	ku	NOUN
ejpam-3673	325	8	(	(	PUNCT
ejpam-3673	325	9	r	r	PROPN
ejpam-3673	325	10	)	)	PUNCT
ejpam-3673	325	11	,	,	PUNCT
ejpam-3673	325	12	the	the	DET
ejpam-3673	325	13	mapping	mapping	NOUN
ejpam-3673	325	14	cone	cone	NOUN
ejpam-3673	325	15	m	m	PROPN
ejpam-3673	325	16	(	(	PUNCT
ejpam-3673	325	17	1	1	NUM
ejpam-3673	325	18	)	)	PUNCT
ejpam-3673	325	19	is	be	AUX
ejpam-3673	325	20	isomorphic	isomorphic	ADJ
ejpam-3673	325	21	to	to	ADP
ejpam-3673	325	22	zero	zero	NUM
ejpam-3673	325	23	complex	complex	NOUN
ejpam-3673	325	24	.	.	PUNCT
ejpam-3673	326	1	lemma	lemma	PROPN
ejpam-3673	326	2	4	4	X
ejpam-3673	326	3	.	.	PUNCT
ejpam-3673	327	1	if	if	SCONJ
ejpam-3673	327	2	f	f	PROPN
ejpam-3673	327	3	:	:	PUNCT
ejpam-3673	327	4	x	x	PUNCT
ejpam-3673	327	5	−→	−→	NOUN
ejpam-3673	327	6	y	y	PROPN
ejpam-3673	327	7	is	be	AUX
ejpam-3673	327	8	a	a	DET
ejpam-3673	327	9	morphism	morphism	NOUN
ejpam-3673	327	10	in	in	ADP
ejpam-3673	327	11	cu	cu	PROPN
ejpam-3673	327	12	(	(	PUNCT
ejpam-3673	327	13	r	r	NOUN
ejpam-3673	327	14	)	)	PUNCT
ejpam-3673	327	15	,	,	PUNCT
ejpam-3673	327	16	then	then	ADV
ejpam-3673	327	17	the	the	DET
ejpam-3673	327	18	following	follow	VERB
ejpam-3673	327	19	canonical	canonical	ADJ
ejpam-3673	327	20	morphisms	morphism	NOUN
ejpam-3673	327	21	are	be	AUX
ejpam-3673	327	22	also	also	ADV
ejpam-3673	327	23	morphisms	morphism	NOUN
ejpam-3673	327	24	in	in	ADP
ejpam-3673	327	25	cu	cu	PROPN
ejpam-3673	327	26	(	(	PUNCT
ejpam-3673	327	27	r	r	NOUN
ejpam-3673	327	28	):	):	PUNCT
ejpam-3673	327	29	α	α	PROPN
ejpam-3673	327	30	(	(	PUNCT
ejpam-3673	327	31	f	f	NOUN
ejpam-3673	327	32	)	)	PUNCT
ejpam-3673	327	33	:	:	PUNCT
ejpam-3673	328	1	y	y	PROPN
ejpam-3673	328	2	−→m	−→m	INTJ
ejpam-3673	328	3	(	(	PUNCT
ejpam-3673	328	4	f	f	X
ejpam-3673	328	5	)	)	PUNCT
ejpam-3673	328	6	where	where	SCONJ
ejpam-3673	328	7	α	α	PROPN
ejpam-3673	328	8	(	(	PUNCT
ejpam-3673	328	9	f	f	X
ejpam-3673	328	10	)	)	PUNCT
ejpam-3673	328	11	=	=	SYM
ejpam-3673	328	12	(	(	PUNCT
ejpam-3673	328	13	0	0	NUM
ejpam-3673	328	14	1	1	NUM
ejpam-3673	328	15	)	)	PUNCT
ejpam-3673	328	16	(	(	PUNCT
ejpam-3673	328	17	51	51	NUM
ejpam-3673	328	18	)	)	PUNCT
ejpam-3673	328	19	and	and	CCONJ
ejpam-3673	328	20	β	β	X
ejpam-3673	328	21	(	(	PUNCT
ejpam-3673	328	22	f	f	X
ejpam-3673	328	23	)	)	PUNCT
ejpam-3673	328	24	:	:	PUNCT
ejpam-3673	329	1	m	m	VERB
ejpam-3673	329	2	(	(	PUNCT
ejpam-3673	329	3	f	f	X
ejpam-3673	329	4	)	)	PUNCT
ejpam-3673	329	5	−→	−→	NOUN
ejpam-3673	329	6	σx	σx	NOUN
ejpam-3673	329	7	,	,	PUNCT
ejpam-3673	329	8	where	where	SCONJ
ejpam-3673	329	9	β	β	X
ejpam-3673	329	10	(	(	PUNCT
ejpam-3673	329	11	f	f	X
ejpam-3673	329	12	)	)	PUNCT
ejpam-3673	329	13	=	=	NOUN
ejpam-3673	329	14	(	(	PUNCT
ejpam-3673	329	15	1	1	NUM
ejpam-3673	329	16	0	0	NUM
ejpam-3673	329	17	)	)	PUNCT
ejpam-3673	329	18	(	(	PUNCT
ejpam-3673	329	19	52	52	NUM
ejpam-3673	329	20	)	)	PUNCT
ejpam-3673	329	21	furthermore	furthermore	ADV
ejpam-3673	329	22	,	,	PUNCT
ejpam-3673	329	23	x	x	PROPN
ejpam-3673	329	24	y	y	PROPN
ejpam-3673	329	25	m(f	m(f	PROPN
ejpam-3673	329	26	)	)	PUNCT
ejpam-3673	329	27	σx	σx	ADP
ejpam-3673	329	28	f	f	PROPN
ejpam-3673	329	29	α(f	α(f	PROPN
ejpam-3673	329	30	)	)	PUNCT
ejpam-3673	329	31	β(f	β(f	NUM
ejpam-3673	329	32	)	)	PUNCT
ejpam-3673	329	33	(	(	PUNCT
ejpam-3673	329	34	53	53	NUM
ejpam-3673	329	35	)	)	PUNCT
ejpam-3673	329	36	is	be	AUX
ejpam-3673	329	37	a	a	DET
ejpam-3673	329	38	short	short	ADJ
ejpam-3673	329	39	exact	exact	ADJ
ejpam-3673	329	40	sequence	sequence	NOUN
ejpam-3673	329	41	of	of	ADP
ejpam-3673	329	42	chain	chain	NOUN
ejpam-3673	329	43	complexes	complex	NOUN
ejpam-3673	329	44	.	.	PUNCT
ejpam-3673	330	1	g.	g.	PROPN
ejpam-3673	330	2	elfiyanti	elfiyanti	PROPN
ejpam-3673	330	3	et	et	PROPN
ejpam-3673	330	4	al	al	PROPN
ejpam-3673	330	5	.	.	PUNCT
ejpam-3673	330	6	/	/	SYM
ejpam-3673	330	7	eur	eur	PROPN
ejpam-3673	330	8	.	.	PUNCT
ejpam-3673	331	1	j.	j.	PROPN
ejpam-3673	331	2	pure	pure	PROPN
ejpam-3673	331	3	appl	appl	PROPN
ejpam-3673	331	4	.	.	PROPN
ejpam-3673	331	5	math	math	PROPN
ejpam-3673	331	6	,	,	PUNCT
ejpam-3673	331	7	13	13	NUM
ejpam-3673	331	8	(	(	PUNCT
ejpam-3673	331	9	2	2	NUM
ejpam-3673	331	10	)	)	PUNCT
ejpam-3673	331	11	(	(	PUNCT
ejpam-3673	331	12	2020	2020	NUM
ejpam-3673	331	13	)	)	PUNCT
ejpam-3673	331	14	,	,	PUNCT
ejpam-3673	331	15	323	323	NUM
ejpam-3673	331	16	-	-	SYM
ejpam-3673	331	17	345	345	NUM
ejpam-3673	331	18	336	336	NUM
ejpam-3673	331	19	proof	proof	NOUN
ejpam-3673	331	20	.	.	PUNCT
ejpam-3673	332	1	we	we	PRON
ejpam-3673	332	2	only	only	ADV
ejpam-3673	332	3	need	need	VERB
ejpam-3673	332	4	to	to	PART
ejpam-3673	332	5	show	show	VERB
ejpam-3673	332	6	that	that	SCONJ
ejpam-3673	332	7	α	α	PROPN
ejpam-3673	332	8	(	(	PUNCT
ejpam-3673	332	9	f	f	X
ejpam-3673	332	10	)	)	PUNCT
ejpam-3673	332	11	dan	dan	PROPN
ejpam-3673	332	12	β	β	PROPN
ejpam-3673	332	13	(	(	PUNCT
ejpam-3673	332	14	f	f	X
ejpam-3673	332	15	)	)	PUNCT
ejpam-3673	332	16	satisfy	satisfy	VERB
ejpam-3673	332	17	the	the	DET
ejpam-3673	332	18	second	second	ADJ
ejpam-3673	332	19	condition	condition	NOUN
ejpam-3673	332	20	of	of	ADP
ejpam-3673	332	21	morphsim	morphsim	NOUN
ejpam-3673	332	22	of	of	ADP
ejpam-3673	332	23	u	u	NOUN
ejpam-3673	332	24	-	-	NOUN
ejpam-3673	332	25	complexes	complex	NOUN
ejpam-3673	332	26	.	.	PUNCT
ejpam-3673	333	1	suppose	suppose	VERB
ejpam-3673	333	2	x	x	X
ejpam-3673	333	3	∈	∈	PROPN
ejpam-3673	333	4	uyn	uyn	VERB
ejpam-3673	333	5	and	and	CCONJ
ejpam-3673	333	6	(	(	PUNCT
ejpam-3673	333	7	v	v	NOUN
ejpam-3673	333	8	,	,	PUNCT
ejpam-3673	333	9	w	w	NOUN
ejpam-3673	333	10	)	)	PUNCT
ejpam-3673	333	11	∈	∈	PROPN
ejpam-3673	333	12	um(f	um(f	NOUN
ejpam-3673	333	13	)	)	PUNCT
ejpam-3673	333	14	n	n	CCONJ
ejpam-3673	333	15	,	,	PUNCT
ejpam-3673	333	16	then	then	ADV
ejpam-3673	333	17	α	α	X
ejpam-3673	333	18	(	(	PUNCT
ejpam-3673	333	19	f)n	f)n	X
ejpam-3673	333	20	(	(	PUNCT
ejpam-3673	333	21	x	x	X
ejpam-3673	333	22	)	)	PUNCT
ejpam-3673	333	23	=	=	SYM
ejpam-3673	334	1	(	(	PUNCT
ejpam-3673	334	2	0	0	NUM
ejpam-3673	334	3	x	x	X
ejpam-3673	334	4	)	)	PUNCT
ejpam-3673	334	5	∈	∈	PROPN
ejpam-3673	334	6	(	(	PUNCT
ejpam-3673	334	7	uxn−1	uxn−1	ADJ
ejpam-3673	334	8	uyn	uyn	NOUN
ejpam-3673	334	9	)	)	PUNCT
ejpam-3673	334	10	=	=	SYM
ejpam-3673	334	11	um(f	um(f	NOUN
ejpam-3673	334	12	)	)	PUNCT
ejpam-3673	334	13	n	n	CCONJ
ejpam-3673	334	14	(	(	PUNCT
ejpam-3673	334	15	54	54	NUM
ejpam-3673	334	16	)	)	PUNCT
ejpam-3673	334	17	and	and	CCONJ
ejpam-3673	334	18	β	β	X
ejpam-3673	334	19	(	(	PUNCT
ejpam-3673	334	20	f)n	f)n	X
ejpam-3673	334	21	(	(	PUNCT
ejpam-3673	334	22	v	v	NOUN
ejpam-3673	334	23	w	w	NOUN
ejpam-3673	334	24	)	)	PUNCT
ejpam-3673	334	25	=	=	PUNCT
ejpam-3673	334	26	v	v	ADP
ejpam-3673	334	27	∈	∈	PROPN
ejpam-3673	334	28	uσx	uσx	NOUN
ejpam-3673	334	29	n	n	X
ejpam-3673	334	30	(	(	PUNCT
ejpam-3673	334	31	55	55	NUM
ejpam-3673	334	32	)	)	PUNCT
ejpam-3673	334	33	the	the	DET
ejpam-3673	334	34	morphisms	morphism	NOUN
ejpam-3673	334	35	α	α	PROPN
ejpam-3673	334	36	(	(	PUNCT
ejpam-3673	334	37	f	f	NOUN
ejpam-3673	334	38	)	)	PUNCT
ejpam-3673	334	39	and	and	CCONJ
ejpam-3673	334	40	β	β	X
ejpam-3673	334	41	(	(	PUNCT
ejpam-3673	334	42	f	f	X
ejpam-3673	334	43	)	)	PUNCT
ejpam-3673	334	44	above	above	ADV
ejpam-3673	334	45	are	be	AUX
ejpam-3673	334	46	also	also	ADV
ejpam-3673	334	47	well	well	ADV
ejpam-3673	334	48	-	-	PUNCT
ejpam-3673	334	49	defined	define	VERB
ejpam-3673	334	50	in	in	ADP
ejpam-3673	334	51	ku	ku	PROPN
ejpam-3673	334	52	(	(	PUNCT
ejpam-3673	334	53	r	r	NOUN
ejpam-3673	334	54	)	)	PUNCT
ejpam-3673	334	55	.	.	PUNCT
ejpam-3673	335	1	this	this	PRON
ejpam-3673	335	2	bring	bring	VERB
ejpam-3673	335	3	us	we	PRON
ejpam-3673	335	4	to	to	ADP
ejpam-3673	335	5	the	the	DET
ejpam-3673	335	6	following	follow	VERB
ejpam-3673	335	7	definition	definition	NOUN
ejpam-3673	335	8	.	.	PUNCT
ejpam-3673	336	1	definition	definition	NOUN
ejpam-3673	336	2	9	9	NUM
ejpam-3673	336	3	.	.	PUNCT
ejpam-3673	337	1	a	a	DET
ejpam-3673	337	2	distinguished	distinguished	ADJ
ejpam-3673	337	3	triangle	triangle	NOUN
ejpam-3673	337	4	in	in	ADP
ejpam-3673	337	5	ku	ku	PROPN
ejpam-3673	337	6	(	(	PUNCT
ejpam-3673	337	7	r	r	NOUN
ejpam-3673	337	8	)	)	PUNCT
ejpam-3673	337	9	is	be	AUX
ejpam-3673	337	10	a	a	DET
ejpam-3673	337	11	triangle	triangle	NOUN
ejpam-3673	337	12	which	which	PRON
ejpam-3673	337	13	is	be	AUX
ejpam-3673	337	14	isomorphic	isomorphic	ADJ
ejpam-3673	337	15	(	(	PUNCT
ejpam-3673	337	16	in	in	ADP
ejpam-3673	337	17	ku	ku	PROPN
ejpam-3673	337	18	(	(	PUNCT
ejpam-3673	337	19	r	r	NOUN
ejpam-3673	337	20	)	)	PUNCT
ejpam-3673	337	21	to	to	ADP
ejpam-3673	337	22	the	the	DET
ejpam-3673	337	23	following	follow	VERB
ejpam-3673	337	24	standard	standard	ADJ
ejpam-3673	337	25	triangle	triangle	NOUN
ejpam-3673	337	26	x	x	PUNCT
ejpam-3673	337	27	y	y	PROPN
ejpam-3673	337	28	m(f	m(f	PROPN
ejpam-3673	337	29	)	)	PUNCT
ejpam-3673	337	30	σx	σx	ADP
ejpam-3673	337	31	f	f	PROPN
ejpam-3673	337	32	α(f	α(f	PROPN
ejpam-3673	337	33	)	)	PUNCT
ejpam-3673	337	34	β(f	β(f	NUM
ejpam-3673	337	35	)	)	PUNCT
ejpam-3673	337	36	(	(	PUNCT
ejpam-3673	337	37	56	56	X
ejpam-3673	337	38	)	)	PUNCT
ejpam-3673	337	39	we	we	PRON
ejpam-3673	337	40	use	use	VERB
ejpam-3673	337	41	this	this	DET
ejpam-3673	337	42	class	class	NOUN
ejpam-3673	337	43	of	of	ADP
ejpam-3673	337	44	distinguished	distinguished	ADJ
ejpam-3673	337	45	triangles	triangle	NOUN
ejpam-3673	337	46	to	to	PART
ejpam-3673	337	47	prove	prove	VERB
ejpam-3673	337	48	that	that	SCONJ
ejpam-3673	337	49	the	the	DET
ejpam-3673	337	50	homotopy	homotopy	NOUN
ejpam-3673	337	51	category	category	NOUN
ejpam-3673	337	52	of	of	ADP
ejpam-3673	337	53	weakly	weakly	ADJ
ejpam-3673	337	54	u	u	NOUN
ejpam-3673	337	55	-	-	NOUN
ejpam-3673	337	56	complexes	complex	NOUN
ejpam-3673	337	57	has	have	VERB
ejpam-3673	337	58	a	a	DET
ejpam-3673	337	59	triangulated	triangulate	VERB
ejpam-3673	337	60	structure	structure	NOUN
ejpam-3673	337	61	.	.	PUNCT
ejpam-3673	338	1	theorem	theorem	NOUN
ejpam-3673	338	2	1	1	NUM
ejpam-3673	338	3	.	.	PUNCT
ejpam-3673	339	1	the	the	DET
ejpam-3673	339	2	homotopy	homotopy	NOUN
ejpam-3673	339	3	category	category	NOUN
ejpam-3673	339	4	ku	ku	PROPN
ejpam-3673	339	5	(	(	PUNCT
ejpam-3673	339	6	r	r	NOUN
ejpam-3673	339	7	)	)	PUNCT
ejpam-3673	339	8	of	of	ADP
ejpam-3673	339	9	weakly	weakly	ADJ
ejpam-3673	339	10	u	u	NOUN
ejpam-3673	339	11	-	-	NOUN
ejpam-3673	339	12	complexes	complex	NOUN
ejpam-3673	339	13	is	be	AUX
ejpam-3673	339	14	a	a	DET
ejpam-3673	339	15	triangulated	triangulate	VERB
ejpam-3673	339	16	category	category	NOUN
ejpam-3673	339	17	.	.	PUNCT
ejpam-3673	340	1	proof	proof	NOUN
ejpam-3673	340	2	.	.	PUNCT
ejpam-3673	341	1	by	by	ADP
ejpam-3673	341	2	definition	definition	NOUN
ejpam-3673	341	3	9	9	NUM
ejpam-3673	341	4	and	and	CCONJ
ejpam-3673	341	5	lemma	lemma	PROPN
ejpam-3673	341	6	4	4	NUM
ejpam-3673	341	7	it	it	PRON
ejpam-3673	341	8	is	be	AUX
ejpam-3673	341	9	clear	clear	ADJ
ejpam-3673	341	10	that	that	SCONJ
ejpam-3673	341	11	axioms	axiom	VERB
ejpam-3673	341	12	(	(	PUNCT
ejpam-3673	341	13	tr0	tr0	NOUN
ejpam-3673	341	14	)	)	PUNCT
ejpam-3673	341	15	and	and	CCONJ
ejpam-3673	341	16	(	(	PUNCT
ejpam-3673	341	17	tr2	tr2	NOUN
ejpam-3673	341	18	)	)	PUNCT
ejpam-3673	341	19	are	be	AUX
ejpam-3673	341	20	satisfied	satisfied	ADJ
ejpam-3673	341	21	.	.	PUNCT
ejpam-3673	342	1	suppose	suppose	VERB
ejpam-3673	342	2	x	x	PRON
ejpam-3673	342	3	,	,	PUNCT
ejpam-3673	342	4	y	y	PROPN
ejpam-3673	342	5	are	be	AUX
ejpam-3673	342	6	objects	object	NOUN
ejpam-3673	342	7	in	in	ADP
ejpam-3673	342	8	ku	ku	PROPN
ejpam-3673	342	9	(	(	PUNCT
ejpam-3673	342	10	r	r	NOUN
ejpam-3673	342	11	)	)	PUNCT
ejpam-3673	342	12	.	.	PUNCT
ejpam-3673	343	1	tr1	tr1	PROPN
ejpam-3673	343	2	consider	consider	VERB
ejpam-3673	343	3	the	the	DET
ejpam-3673	343	4	triangle	triangle	NOUN
ejpam-3673	343	5	x	x	PUNCT
ejpam-3673	343	6	x	x	SYM
ejpam-3673	343	7	m(1	m(1	NOUN
ejpam-3673	343	8	)	)	PUNCT
ejpam-3673	343	9	σx1	σx1	NOUN
ejpam-3673	343	10	β(f	β(f	VERB
ejpam-3673	343	11	)	)	PUNCT
ejpam-3673	343	12	(	(	PUNCT
ejpam-3673	343	13	57	57	NUM
ejpam-3673	343	14	)	)	PUNCT
ejpam-3673	343	15	from	from	ADP
ejpam-3673	343	16	lemma	lemma	PROPN
ejpam-3673	343	17	3	3	NUM
ejpam-3673	343	18	we	we	PRON
ejpam-3673	343	19	know	know	VERB
ejpam-3673	343	20	that	that	SCONJ
ejpam-3673	343	21	the	the	DET
ejpam-3673	343	22	mapping	mapping	NOUN
ejpam-3673	343	23	cone	cone	NOUN
ejpam-3673	343	24	m	m	PROPN
ejpam-3673	343	25	(	(	PUNCT
ejpam-3673	343	26	1	1	NUM
ejpam-3673	343	27	)	)	PUNCT
ejpam-3673	343	28	is	be	AUX
ejpam-3673	343	29	isomorphic	isomorphic	ADJ
ejpam-3673	343	30	to	to	ADP
ejpam-3673	343	31	a	a	DET
ejpam-3673	343	32	zero	zero	NUM
ejpam-3673	343	33	object	object	NOUN
ejpam-3673	343	34	in	in	ADP
ejpam-3673	343	35	ku	ku	PROPN
ejpam-3673	343	36	(	(	PUNCT
ejpam-3673	343	37	r	r	NOUN
ejpam-3673	343	38	)	)	PUNCT
ejpam-3673	343	39	.	.	PUNCT
ejpam-3673	344	1	hence	hence	ADV
ejpam-3673	344	2	,	,	PUNCT
ejpam-3673	344	3	the	the	DET
ejpam-3673	344	4	following	follow	VERB
ejpam-3673	344	5	is	be	AUX
ejpam-3673	344	6	a	a	DET
ejpam-3673	344	7	distinguished	distinguished	ADJ
ejpam-3673	344	8	triangle	triangle	NOUN
ejpam-3673	344	9	.	.	PUNCT
ejpam-3673	345	1	x	x	PUNCT
ejpam-3673	345	2	x	x	X
ejpam-3673	345	3	0	0	NUM
ejpam-3673	345	4	σx1	σx1	NOUN
ejpam-3673	345	5	(	(	PUNCT
ejpam-3673	345	6	58	58	NUM
ejpam-3673	345	7	)	)	PUNCT
ejpam-3673	345	8	tr3	tr3	PROPN
ejpam-3673	345	9	suppose	suppose	VERB
ejpam-3673	345	10	x	x	PUNCT
ejpam-3673	345	11	y	y	PROPN
ejpam-3673	345	12	m(f	m(f	PROPN
ejpam-3673	345	13	)	)	PUNCT
ejpam-3673	345	14	σx	σx	ADP
ejpam-3673	345	15	f	f	PROPN
ejpam-3673	345	16	α(f	α(f	PROPN
ejpam-3673	345	17	)	)	PUNCT
ejpam-3673	345	18	β(f	β(f	NUM
ejpam-3673	345	19	)	)	PUNCT
ejpam-3673	345	20	be	be	VERB
ejpam-3673	345	21	a	a	DET
ejpam-3673	345	22	distinguised	distinguise	VERB
ejpam-3673	345	23	triangle	triangle	NOUN
ejpam-3673	345	24	.	.	PUNCT
ejpam-3673	346	1	we	we	PRON
ejpam-3673	346	2	will	will	AUX
ejpam-3673	346	3	show	show	VERB
ejpam-3673	346	4	that	that	SCONJ
ejpam-3673	346	5	the	the	DET
ejpam-3673	346	6	rotated	rotate	VERB
ejpam-3673	346	7	triangle	triangle	NOUN
ejpam-3673	346	8	y	y	PROPN
ejpam-3673	346	9	m(f	m(f	PROPN
ejpam-3673	346	10	)	)	PUNCT
ejpam-3673	346	11	σx	σx	PROPN
ejpam-3673	346	12	σy	σy	PROPN
ejpam-3673	346	13	α(f	α(f	PROPN
ejpam-3673	346	14	)	)	PUNCT
ejpam-3673	346	15	β(f	β(f	PROPN
ejpam-3673	346	16	)	)	PUNCT
ejpam-3673	346	17	f	f	PROPN
ejpam-3673	346	18	(	(	PUNCT
ejpam-3673	346	19	59	59	NUM
ejpam-3673	346	20	)	)	PUNCT
ejpam-3673	346	21	is	be	AUX
ejpam-3673	346	22	a	a	DET
ejpam-3673	346	23	distinguished	distinguished	ADJ
ejpam-3673	346	24	triangle	triangle	NOUN
ejpam-3673	346	25	by	by	ADP
ejpam-3673	346	26	proving	prove	VERB
ejpam-3673	346	27	that	that	SCONJ
ejpam-3673	346	28	it	it	PRON
ejpam-3673	346	29	is	be	AUX
ejpam-3673	346	30	isomorphic	isomorphic	ADJ
ejpam-3673	346	31	in	in	ADP
ejpam-3673	346	32	ku	ku	PROPN
ejpam-3673	346	33	(	(	PUNCT
ejpam-3673	346	34	r	r	NOUN
ejpam-3673	346	35	)	)	PUNCT
ejpam-3673	346	36	to	to	ADP
ejpam-3673	346	37	the	the	DET
ejpam-3673	346	38	following	follow	VERB
ejpam-3673	346	39	standard	standard	ADJ
ejpam-3673	346	40	triangle	triangle	NOUN
ejpam-3673	346	41	y	y	PROPN
ejpam-3673	346	42	m(f	m(f	PROPN
ejpam-3673	346	43	)	)	PUNCT
ejpam-3673	347	1	m	m	PROPN
ejpam-3673	347	2	(	(	PUNCT
ejpam-3673	347	3	α	α	X
ejpam-3673	347	4	(	(	PUNCT
ejpam-3673	347	5	f	f	NOUN
ejpam-3673	347	6	)	)	PUNCT
ejpam-3673	347	7	)	)	PUNCT
ejpam-3673	347	8	σy	σy	PROPN
ejpam-3673	347	9	α(f	α(f	PROPN
ejpam-3673	347	10	)	)	PUNCT
ejpam-3673	347	11	α(α(f	α(α(f	PROPN
ejpam-3673	347	12	)	)	PUNCT
ejpam-3673	347	13	)	)	PUNCT
ejpam-3673	347	14	β(α(f	β(α(f	NUM
ejpam-3673	347	15	)	)	PUNCT
ejpam-3673	347	16	)	)	PUNCT
ejpam-3673	348	1	(	(	PUNCT
ejpam-3673	348	2	60	60	NUM
ejpam-3673	348	3	)	)	PUNCT
ejpam-3673	348	4	g.	g.	PROPN
ejpam-3673	348	5	elfiyanti	elfiyanti	PROPN
ejpam-3673	348	6	et	et	PROPN
ejpam-3673	348	7	al	al	PROPN
ejpam-3673	348	8	.	.	PUNCT
ejpam-3673	348	9	/	/	SYM
ejpam-3673	348	10	eur	eur	PROPN
ejpam-3673	348	11	.	.	PUNCT
ejpam-3673	349	1	j.	j.	PROPN
ejpam-3673	349	2	pure	pure	PROPN
ejpam-3673	349	3	appl	appl	PROPN
ejpam-3673	349	4	.	.	PROPN
ejpam-3673	349	5	math	math	PROPN
ejpam-3673	349	6	,	,	PUNCT
ejpam-3673	349	7	13	13	NUM
ejpam-3673	349	8	(	(	PUNCT
ejpam-3673	349	9	2	2	NUM
ejpam-3673	349	10	)	)	PUNCT
ejpam-3673	349	11	(	(	PUNCT
ejpam-3673	349	12	2020	2020	NUM
ejpam-3673	349	13	)	)	PUNCT
ejpam-3673	349	14	,	,	PUNCT
ejpam-3673	349	15	323	323	NUM
ejpam-3673	349	16	-	-	SYM
ejpam-3673	349	17	345	345	NUM
ejpam-3673	349	18	337	337	NUM
ejpam-3673	349	19	to	to	PART
ejpam-3673	349	20	construct	construct	VERB
ejpam-3673	349	21	an	an	DET
ejpam-3673	349	22	isomorphism	isomorphism	NOUN
ejpam-3673	349	23	between	between	ADP
ejpam-3673	349	24	(	(	PUNCT
ejpam-3673	349	25	59	59	NUM
ejpam-3673	349	26	)	)	PUNCT
ejpam-3673	349	27	and	and	CCONJ
ejpam-3673	349	28	(	(	PUNCT
ejpam-3673	349	29	60	60	NUM
ejpam-3673	349	30	)	)	PUNCT
ejpam-3673	350	1	,	,	PUNCT
ejpam-3673	350	2	we	we	PRON
ejpam-3673	350	3	take	take	VERB
ejpam-3673	350	4	identity	identity	NOUN
ejpam-3673	350	5	map	map	NOUN
ejpam-3673	350	6	for	for	ADP
ejpam-3673	350	7	the	the	DET
ejpam-3673	350	8	first	first	ADJ
ejpam-3673	350	9	,	,	PUNCT
ejpam-3673	350	10	second	second	ADJ
ejpam-3673	350	11	and	and	CCONJ
ejpam-3673	350	12	fourth	fourth	ADJ
ejpam-3673	350	13	entries	entry	NOUN
ejpam-3673	350	14	.	.	PUNCT
ejpam-3673	351	1	y	y	PROPN
ejpam-3673	351	2	m(f	m(f	PROPN
ejpam-3673	351	3	)	)	PUNCT
ejpam-3673	351	4	σx	σx	ADP
ejpam-3673	351	5	σy	σy	PROPN
ejpam-3673	351	6	y	y	PROPN
ejpam-3673	351	7	m(f	m(f	PROPN
ejpam-3673	351	8	)	)	PUNCT
ejpam-3673	351	9	m(α(f	m(α(f	PROPN
ejpam-3673	351	10	)	)	PUNCT
ejpam-3673	351	11	)	)	PUNCT
ejpam-3673	351	12	σy	σy	PROPN
ejpam-3673	351	13	α(f	α(f	PROPN
ejpam-3673	351	14	)	)	PUNCT
ejpam-3673	351	15	β(f	β(f	NUM
ejpam-3673	351	16	)	)	PUNCT
ejpam-3673	351	17	−σf	−σf	PROPN
ejpam-3673	351	18	φ	φ	PROPN
ejpam-3673	351	19	α(f	α(f	PROPN
ejpam-3673	351	20	)	)	PUNCT
ejpam-3673	351	21	α(α(f	α(α(f	PROPN
ejpam-3673	351	22	)	)	PUNCT
ejpam-3673	351	23	)	)	PUNCT
ejpam-3673	351	24	β(α(f	β(α(f	NUM
ejpam-3673	351	25	)	)	PUNCT
ejpam-3673	351	26	)	)	PUNCT
ejpam-3673	352	1	ψ	ψ	X
ejpam-3673	352	2	(	(	PUNCT
ejpam-3673	352	3	61	61	NUM
ejpam-3673	352	4	)	)	PUNCT
ejpam-3673	352	5	and	and	CCONJ
ejpam-3673	352	6	define	define	VERB
ejpam-3673	352	7	φn	φn	ADP
ejpam-3673	352	8	=	=	PUNCT
ejpam-3673	352	9	−fn−1	−fn−1	ADJ
ejpam-3673	352	10	1	1	X
ejpam-3673	352	11	0	0	NUM
ejpam-3673	352	12			PROPN
ejpam-3673	352	13	and	and	CCONJ
ejpam-3673	352	14	ψn	ψn	X
ejpam-3673	352	15	=	=	PUNCT
ejpam-3673	352	16	(	(	PUNCT
ejpam-3673	352	17	0	0	NUM
ejpam-3673	352	18	1	1	NUM
ejpam-3673	352	19	0	0	NUM
ejpam-3673	352	20	)	)	PUNCT
ejpam-3673	352	21	.	.	PUNCT
ejpam-3673	353	1	first	first	ADV
ejpam-3673	353	2	we	we	PRON
ejpam-3673	353	3	will	will	AUX
ejpam-3673	353	4	show	show	VERB
ejpam-3673	353	5	that	that	SCONJ
ejpam-3673	353	6	φ	φ	PROPN
ejpam-3673	353	7	and	and	CCONJ
ejpam-3673	353	8	ψ	ψ	PROPN
ejpam-3673	353	9	are	be	AUX
ejpam-3673	353	10	morphisms	morphism	NOUN
ejpam-3673	353	11	in	in	ADP
ejpam-3673	353	12	ku	ku	PROPN
ejpam-3673	353	13	(	(	PUNCT
ejpam-3673	353	14	r	r	NOUN
ejpam-3673	353	15	)	)	PUNCT
ejpam-3673	353	16	.	.	PUNCT
ejpam-3673	354	1	look	look	VERB
ejpam-3673	354	2	at	at	ADP
ejpam-3673	354	3	the	the	DET
ejpam-3673	354	4	following	follow	VERB
ejpam-3673	354	5	diagram	diagram	NOUN
ejpam-3673	354	6	xn	xn	PROPN
ejpam-3673	355	1	xn−1	xn−1	PROPN
ejpam-3673	355	2	xn−2	xn−2	PROPN
ejpam-3673	355	3	yn	yn	PROPN
ejpam-3673	355	4	⊕xn	⊕xn	PROPN
ejpam-3673	355	5	⊕	⊕	PROPN
ejpam-3673	355	6	yn+1	yn+1	PROPN
ejpam-3673	356	1	yn−1	yn−1	PROPN
ejpam-3673	356	2	⊕xn−1	⊕xn−1	PROPN
ejpam-3673	356	3	⊕	⊕	PROPN
ejpam-3673	356	4	yn	yn	PRON
ejpam-3673	357	1	yn−2	yn−2	PROPN
ejpam-3673	357	2	⊕xn−2	⊕xn−2	PROPN
ejpam-3673	357	3	⊕	⊕	PROPN
ejpam-3673	357	4	yn−1	yn−1	PROPN
ejpam-3673	357	5	−dxn	−dxn	NOUN
ejpam-3673	357	6	−dxn−1	−dxn−1	ADJ
ejpam-3673	357	7	φn	φn	ADP
ejpam-3673	357	8	d	d	PROPN
ejpam-3673	357	9	m(α(f	m(α(f	PROPN
ejpam-3673	357	10	)	)	PUNCT
ejpam-3673	357	11	)	)	PUNCT
ejpam-3673	358	1	n+1	n+1	PROPN
ejpam-3673	358	2	d	d	PROPN
ejpam-3673	358	3	m(α(f	m(α(f	PROPN
ejpam-3673	358	4	)	)	PUNCT
ejpam-3673	358	5	)	)	PUNCT
ejpam-3673	359	1	n	n	CCONJ
ejpam-3673	359	2	ψn	ψn	INTJ
ejpam-3673	359	3	(	(	PUNCT
ejpam-3673	359	4	62	62	NUM
ejpam-3673	359	5	)	)	PUNCT
ejpam-3673	359	6	where	where	SCONJ
ejpam-3673	359	7	dm(α(f	dm(α(f	NOUN
ejpam-3673	359	8	)	)	PUNCT
ejpam-3673	359	9	)	)	PUNCT
ejpam-3673	360	1	n	n	PROPN
ejpam-3673	360	2	=	=	PUNCT
ejpam-3673	360	3	−dyn−1	−dyn−1	PROPN
ejpam-3673	360	4	0	0	NUM
ejpam-3673	360	5	0	0	SYM
ejpam-3673	360	6	0	0	NUM
ejpam-3673	360	7	−dxn−1	−dxn−1	ADJ
ejpam-3673	360	8	0	0	NUM
ejpam-3673	360	9	1	1	NUM
ejpam-3673	360	10	fn	fn	NOUN
ejpam-3673	360	11	dyn	dyn	NOUN
ejpam-3673	360	12			PROPN
ejpam-3673	360	13	(	(	PUNCT
ejpam-3673	360	14	63	63	NUM
ejpam-3673	360	15	)	)	PUNCT
ejpam-3673	360	16	it	it	PRON
ejpam-3673	360	17	is	be	AUX
ejpam-3673	360	18	clear	clear	ADJ
ejpam-3673	360	19	that	that	SCONJ
ejpam-3673	360	20	φn	φn	INTJ
ejpam-3673	360	21	(	(	PUNCT
ejpam-3673	360	22	uσx	uσx	NOUN
ejpam-3673	360	23	n	n	PROPN
ejpam-3673	360	24	)	)	PUNCT
ejpam-3673	360	25	⊆	⊆	NUM
ejpam-3673	360	26	um(α(f	um(α(f	NOUN
ejpam-3673	360	27	)	)	PUNCT
ejpam-3673	360	28	)	)	PUNCT
ejpam-3673	361	1	n	n	CCONJ
ejpam-3673	362	1	and	and	CCONJ
ejpam-3673	362	2	ψn	ψn	INTJ
ejpam-3673	362	3	(	(	PUNCT
ejpam-3673	362	4	u	u	PROPN
ejpam-3673	362	5	m(α(f	m(α(f	PROPN
ejpam-3673	362	6	)	)	PUNCT
ejpam-3673	362	7	)	)	PUNCT
ejpam-3673	363	1	n	n	CCONJ
ejpam-3673	363	2	)	)	PUNCT
ejpam-3673	364	1	⊆	⊆	NUM
ejpam-3673	364	2	uσx	uσx	NOUN
ejpam-3673	364	3	n	n	NOUN
ejpam-3673	364	4	.	.	PUNCT
ejpam-3673	365	1	moreover	moreover	ADV
ejpam-3673	365	2	φn	φn	INTJ
ejpam-3673	365	3	(	(	PUNCT
ejpam-3673	365	4	−dxn	−dxn	NOUN
ejpam-3673	365	5	)	)	PUNCT
ejpam-3673	365	6	fndxn−dxn	fndxn−dxn	X
ejpam-3673	365	7	0	0	NUM
ejpam-3673	366	1			PROPN
ejpam-3673	366	2	=	=	SYM
ejpam-3673	366	3	d	d	PROPN
ejpam-3673	366	4	m(α(f	m(α(f	PROPN
ejpam-3673	366	5	)	)	PUNCT
ejpam-3673	366	6	)	)	PUNCT
ejpam-3673	367	1	n+1	n+1	ADV
ejpam-3673	367	2	φn+1	φn+1	NOUN
ejpam-3673	367	3	(	(	PUNCT
ejpam-3673	367	4	64	64	NUM
ejpam-3673	367	5	)	)	PUNCT
ejpam-3673	367	6	and	and	CCONJ
ejpam-3673	367	7	−dxn−1ψn	−dxn−1ψn	X
ejpam-3673	367	8	=	=	PUNCT
ejpam-3673	367	9	(	(	PUNCT
ejpam-3673	367	10	0	0	NUM
ejpam-3673	367	11	−dxn−1	−dxn−1	ADJ
ejpam-3673	367	12	0	0	X
ejpam-3673	367	13	)	)	PUNCT
ejpam-3673	367	14	=	=	PRON
ejpam-3673	367	15	ψn−1d	ψn−1d	PROPN
ejpam-3673	367	16	m(α(f	m(α(f	PROPN
ejpam-3673	367	17	)	)	PUNCT
ejpam-3673	367	18	)	)	PUNCT
ejpam-3673	367	19	n	n	CCONJ
ejpam-3673	367	20	(	(	PUNCT
ejpam-3673	367	21	65	65	NUM
ejpam-3673	367	22	)	)	PUNCT
ejpam-3673	367	23	now	now	ADV
ejpam-3673	367	24	we	we	PRON
ejpam-3673	367	25	will	will	AUX
ejpam-3673	367	26	show	show	VERB
ejpam-3673	367	27	that	that	SCONJ
ejpam-3673	367	28	φ	φ	PROPN
ejpam-3673	367	29	and	and	CCONJ
ejpam-3673	367	30	ψ	ψ	X
ejpam-3673	367	31	give	give	VERB
ejpam-3673	367	32	a	a	DET
ejpam-3673	367	33	morphism	morphism	NOUN
ejpam-3673	367	34	of	of	ADP
ejpam-3673	367	35	triangle	triangle	NOUN
ejpam-3673	367	36	in	in	ADP
ejpam-3673	367	37	ku	ku	PROPN
ejpam-3673	367	38	(	(	PUNCT
ejpam-3673	367	39	r	r	NOUN
ejpam-3673	367	40	)	)	PUNCT
ejpam-3673	367	41	.	.	PUNCT
ejpam-3673	368	1	note	note	VERB
ejpam-3673	368	2	that	that	SCONJ
ejpam-3673	368	3	β(α(f))nφn	β(α(f))nφn	PROPN
ejpam-3673	368	4	=	=	PUNCT
ejpam-3673	368	5	(	(	PUNCT
ejpam-3673	368	6	1	1	NUM
ejpam-3673	368	7	0	0	NUM
ejpam-3673	368	8	0	0	NUM
ejpam-3673	368	9	)	)	PUNCT
ejpam-3673	368	10	−fn−1	−fn−1	ADP
ejpam-3673	368	11	1	1	X
ejpam-3673	368	12	0	0	NUM
ejpam-3673	368	13			PROPN
ejpam-3673	368	14	=	=	SYM
ejpam-3673	368	15	−fn−1	−fn−1	X
ejpam-3673	368	16	(	(	PUNCT
ejpam-3673	368	17	66	66	NUM
ejpam-3673	368	18	)	)	PUNCT
ejpam-3673	368	19	hence	hence	ADV
ejpam-3673	368	20	β	β	X
ejpam-3673	368	21	(	(	PUNCT
ejpam-3673	368	22	α	α	PROPN
ejpam-3673	368	23	(	(	PUNCT
ejpam-3673	368	24	f))φ	f))φ	NOUN
ejpam-3673	368	25	=	=	SYM
ejpam-3673	368	26	−σf	−σf	PROPN
ejpam-3673	368	27	.	.	PUNCT
ejpam-3673	369	1	observe	observe	VERB
ejpam-3673	369	2	the	the	DET
ejpam-3673	369	3	following	follow	VERB
ejpam-3673	369	4	diagram	diagram	NOUN
ejpam-3673	369	5	xn	xn	PROPN
ejpam-3673	370	1	⊕	⊕	PROPN
ejpam-3673	370	2	yn+1	yn+1	PROPN
ejpam-3673	370	3	xn−1	xn−1	PROPN
ejpam-3673	370	4	⊕	⊕	PROPN
ejpam-3673	370	5	yn	yn	PROPN
ejpam-3673	371	1	xn−2	xn−2	PROPN
ejpam-3673	371	2	⊕	⊕	PROPN
ejpam-3673	371	3	yn−1	yn−1	PROPN
ejpam-3673	372	1	yn	yn	PROPN
ejpam-3673	372	2	⊕xn	⊕xn	PROPN
ejpam-3673	372	3	⊕	⊕	PROPN
ejpam-3673	372	4	yn+1	yn+1	PROPN
ejpam-3673	373	1	yn−1	yn−1	PROPN
ejpam-3673	373	2	⊕xn−1	⊕xn−1	PROPN
ejpam-3673	373	3	⊕	⊕	PROPN
ejpam-3673	373	4	yn	yn	PRON
ejpam-3673	374	1	yn−2	yn−2	PROPN
ejpam-3673	374	2	⊕xn−2	⊕xn−2	PROPN
ejpam-3673	374	3	⊕	⊕	PROPN
ejpam-3673	374	4	yn−1	yn−1	PROPN
ejpam-3673	374	5	d	d	PROPN
ejpam-3673	374	6	m(f	m(f	PROPN
ejpam-3673	374	7	)	)	PUNCT
ejpam-3673	374	8	n+1	n+1	PROPN
ejpam-3673	374	9	d	d	X
ejpam-3673	374	10	m(f	m(f	PROPN
ejpam-3673	374	11	)	)	PUNCT
ejpam-3673	374	12	n	n	PROPN
ejpam-3673	374	13	φnβ(f)n	φnβ(f)n	NOUN
ejpam-3673	374	14	α(α(f))n	α(α(f))n	NUM
ejpam-3673	374	15	hn	hn	PROPN
ejpam-3673	374	16	hn−1	hn−1	PROPN
ejpam-3673	374	17	d	d	PROPN
ejpam-3673	374	18	m(α(f	m(α(f	PROPN
ejpam-3673	374	19	)	)	PUNCT
ejpam-3673	374	20	)	)	PUNCT
ejpam-3673	375	1	n+1	n+1	PROPN
ejpam-3673	375	2	d	d	PROPN
ejpam-3673	375	3	m(α(f	m(α(f	PROPN
ejpam-3673	375	4	)	)	PUNCT
ejpam-3673	375	5	)	)	PUNCT
ejpam-3673	376	1	n	n	CCONJ
ejpam-3673	376	2	(	(	PUNCT
ejpam-3673	376	3	67	67	NUM
ejpam-3673	376	4	)	)	PUNCT
ejpam-3673	376	5	g.	g.	PROPN
ejpam-3673	376	6	elfiyanti	elfiyanti	PROPN
ejpam-3673	376	7	et	et	PROPN
ejpam-3673	376	8	al	al	PROPN
ejpam-3673	376	9	.	.	PUNCT
ejpam-3673	376	10	/	/	SYM
ejpam-3673	376	11	eur	eur	PROPN
ejpam-3673	376	12	.	.	PUNCT
ejpam-3673	377	1	j.	j.	PROPN
ejpam-3673	377	2	pure	pure	PROPN
ejpam-3673	377	3	appl	appl	PROPN
ejpam-3673	377	4	.	.	PROPN
ejpam-3673	377	5	math	math	PROPN
ejpam-3673	377	6	,	,	PUNCT
ejpam-3673	377	7	13	13	NUM
ejpam-3673	377	8	(	(	PUNCT
ejpam-3673	377	9	2	2	NUM
ejpam-3673	377	10	)	)	PUNCT
ejpam-3673	377	11	(	(	PUNCT
ejpam-3673	377	12	2020	2020	NUM
ejpam-3673	377	13	)	)	PUNCT
ejpam-3673	377	14	,	,	PUNCT
ejpam-3673	377	15	323	323	NUM
ejpam-3673	377	16	-	-	SYM
ejpam-3673	377	17	345	345	NUM
ejpam-3673	377	18	338	338	NUM
ejpam-3673	377	19	where	where	SCONJ
ejpam-3673	377	20	d	d	PROPN
ejpam-3673	377	21	m(α(f	m(α(f	PROPN
ejpam-3673	377	22	)	)	PUNCT
ejpam-3673	377	23	)	)	PUNCT
ejpam-3673	378	1	n+1	n+1	ADV
ejpam-3673	378	2	−dyn	−dyn	ADV
ejpam-3673	378	3	0	0	NUM
ejpam-3673	378	4	0	0	NUM
ejpam-3673	378	5	0	0	NUM
ejpam-3673	378	6	−dxn	−dxn	NOUN
ejpam-3673	378	7	0	0	NUM
ejpam-3673	378	8	1	1	NUM
ejpam-3673	378	9	fn	fn	NOUN
ejpam-3673	378	10	dyn+1	dyn+1	PROPN
ejpam-3673	378	11			PROPN
ejpam-3673	378	12	and	and	CCONJ
ejpam-3673	378	13	dm(f	dm(f	NOUN
ejpam-3673	378	14	)	)	PUNCT
ejpam-3673	378	15	n	n	NOUN
ejpam-3673	378	16	=	=	PUNCT
ejpam-3673	378	17	(	(	PUNCT
ejpam-3673	378	18	−dxn−1	−dxn−1	ADJ
ejpam-3673	378	19	0	0	NUM
ejpam-3673	378	20	fn−1	fn−1	ADJ
ejpam-3673	378	21	dyn	dyn	PROPN
ejpam-3673	378	22	)	)	PUNCT
ejpam-3673	378	23	(	(	PUNCT
ejpam-3673	378	24	68	68	NUM
ejpam-3673	378	25	)	)	PUNCT
ejpam-3673	378	26	let	let	VERB
ejpam-3673	378	27	hn	hn	PROPN
ejpam-3673	378	28	=	=	PUNCT
ejpam-3673	378	29	0	0	ADP
ejpam-3673	378	30	−1	−1	NOUN
ejpam-3673	378	31	0	0	NUM
ejpam-3673	378	32	0	0	NUM
ejpam-3673	378	33	0	0	NUM
ejpam-3673	378	34	0	0	NUM
ejpam-3673	379	1			PROPN
ejpam-3673	379	2	:	:	PUNCT
ejpam-3673	379	3	m	m	VERB
ejpam-3673	379	4	(	(	PUNCT
ejpam-3673	379	5	f)n	f)n	NOUN
ejpam-3673	379	6	−→m	−→m	X
ejpam-3673	379	7	(	(	PUNCT
ejpam-3673	379	8	α	α	X
ejpam-3673	379	9	(	(	PUNCT
ejpam-3673	379	10	f))n+1	f))n+1	NOUN
ejpam-3673	379	11	(	(	PUNCT
ejpam-3673	379	12	69	69	NUM
ejpam-3673	379	13	)	)	PUNCT
ejpam-3673	379	14	then	then	ADV
ejpam-3673	379	15	it	it	PRON
ejpam-3673	379	16	is	be	AUX
ejpam-3673	379	17	clear	clear	ADJ
ejpam-3673	379	18	that	that	SCONJ
ejpam-3673	379	19	hn	hn	PROPN
ejpam-3673	379	20	(	(	PUNCT
ejpam-3673	379	21	u	u	PROPN
ejpam-3673	379	22	m(f	m(f	PROPN
ejpam-3673	379	23	)	)	PUNCT
ejpam-3673	379	24	n	n	CCONJ
ejpam-3673	379	25	)	)	PUNCT
ejpam-3673	379	26	⊆	⊆	NUM
ejpam-3673	379	27	um(α(f	um(α(f	NOUN
ejpam-3673	379	28	)	)	PUNCT
ejpam-3673	379	29	)	)	PUNCT
ejpam-3673	379	30	n+1	n+1	PROPN
ejpam-3673	379	31	and	and	CCONJ
ejpam-3673	379	32	φnβ	φnβ	NOUN
ejpam-3673	379	33	(	(	PUNCT
ejpam-3673	379	34	f)n	f)n	NOUN
ejpam-3673	379	35	−	−	PROPN
ejpam-3673	380	1	α	α	NOUN
ejpam-3673	380	2	(	(	PUNCT
ejpam-3673	380	3	α	α	PROPN
ejpam-3673	380	4	(	(	PUNCT
ejpam-3673	380	5	f))n	f))n	NOUN
ejpam-3673	380	6	=	=	SYM
ejpam-3673	380	7	−fn−1	−fn−1	ADP
ejpam-3673	380	8	0	0	NUM
ejpam-3673	380	9	0	0	NUM
ejpam-3673	380	10	0	0	NUM
ejpam-3673	380	11	0	0	NUM
ejpam-3673	380	12	−1	−1	NOUN
ejpam-3673	380	13			PROPN
ejpam-3673	380	14	=	=	SYM
ejpam-3673	380	15	d	d	PROPN
ejpam-3673	380	16	m(α(f	m(α(f	PROPN
ejpam-3673	380	17	)	)	PUNCT
ejpam-3673	380	18	)	)	PUNCT
ejpam-3673	381	1	n+1	n+1	PROPN
ejpam-3673	381	2	hn−1	hn−1	PROPN
ejpam-3673	381	3	+	+	CCONJ
ejpam-3673	381	4	hnd	hnd	X
ejpam-3673	381	5	m(f	m(f	PROPN
ejpam-3673	381	6	)	)	PUNCT
ejpam-3673	381	7	n	n	CCONJ
ejpam-3673	381	8	(	(	PUNCT
ejpam-3673	381	9	70	70	NUM
ejpam-3673	381	10	)	)	PUNCT
ejpam-3673	381	11	thus	thus	ADV
ejpam-3673	381	12	φβ	φβ	X
ejpam-3673	381	13	(	(	PUNCT
ejpam-3673	381	14	f	f	X
ejpam-3673	381	15	)	)	PUNCT
ejpam-3673	381	16	∼	∼	NOUN
ejpam-3673	381	17	α	α	NOUN
ejpam-3673	381	18	(	(	PUNCT
ejpam-3673	381	19	α	α	X
ejpam-3673	381	20	(	(	PUNCT
ejpam-3673	381	21	f	f	NOUN
ejpam-3673	381	22	)	)	PUNCT
ejpam-3673	381	23	)	)	PUNCT
ejpam-3673	381	24	.	.	PUNCT
ejpam-3673	382	1	we	we	PRON
ejpam-3673	382	2	also	also	ADV
ejpam-3673	382	3	have	have	VERB
ejpam-3673	382	4	β(f	β(f	VERB
ejpam-3673	382	5	)	)	PUNCT
ejpam-3673	382	6	=	=	SYM
ejpam-3673	382	7	ψα	ψα	ADP
ejpam-3673	382	8	(	(	PUNCT
ejpam-3673	382	9	α(f	α(f	PROPN
ejpam-3673	382	10	)	)	PUNCT
ejpam-3673	382	11	)	)	PUNCT
ejpam-3673	383	1	since	since	SCONJ
ejpam-3673	383	2	β	β	X
ejpam-3673	383	3	(	(	PUNCT
ejpam-3673	383	4	f)n	f)n	NOUN
ejpam-3673	383	5	−	−	NOUN
ejpam-3673	383	6	ψnα	ψnα	NOUN
ejpam-3673	383	7	(	(	PUNCT
ejpam-3673	383	8	α	α	NOUN
ejpam-3673	383	9	(	(	PUNCT
ejpam-3673	383	10	f))n	f))n	NOUN
ejpam-3673	383	11	=	=	SYM
ejpam-3673	383	12	(	(	PUNCT
ejpam-3673	383	13	1	1	NUM
ejpam-3673	383	14	0	0	NUM
ejpam-3673	383	15	)	)	PUNCT
ejpam-3673	383	16	−	−	PROPN
ejpam-3673	384	1	(	(	PUNCT
ejpam-3673	384	2	0	0	NUM
ejpam-3673	384	3	1	1	NUM
ejpam-3673	384	4	0	0	NUM
ejpam-3673	384	5	)	)	PUNCT
ejpam-3673	384	6	0	0	ADP
ejpam-3673	384	7	0	0	NUM
ejpam-3673	384	8	1	1	NUM
ejpam-3673	384	9	0	0	NUM
ejpam-3673	384	10	0	0	NUM
ejpam-3673	384	11	1	1	NUM
ejpam-3673	384	12			PROPN
ejpam-3673	384	13	=	=	SYM
ejpam-3673	384	14	(	(	PUNCT
ejpam-3673	384	15	0	0	NUM
ejpam-3673	384	16	0	0	NUM
ejpam-3673	384	17	)	)	PUNCT
ejpam-3673	384	18	(	(	PUNCT
ejpam-3673	384	19	71	71	NUM
ejpam-3673	384	20	)	)	PUNCT
ejpam-3673	384	21	now	now	ADV
ejpam-3673	384	22	we	we	PRON
ejpam-3673	384	23	will	will	AUX
ejpam-3673	384	24	show	show	VERB
ejpam-3673	384	25	−σfψ	−σfψ	VERB
ejpam-3673	384	26	∼	∼	NOUN
ejpam-3673	384	27	β	β	X
ejpam-3673	384	28	(	(	PUNCT
ejpam-3673	384	29	α	α	PROPN
ejpam-3673	384	30	(	(	PUNCT
ejpam-3673	384	31	f	f	NOUN
ejpam-3673	384	32	)	)	PUNCT
ejpam-3673	384	33	)	)	PUNCT
ejpam-3673	384	34	.	.	PUNCT
ejpam-3673	385	1	consider	consider	VERB
ejpam-3673	385	2	the	the	DET
ejpam-3673	385	3	folowing	folowing	NOUN
ejpam-3673	385	4	diagram	diagram	NOUN
ejpam-3673	385	5	yn	yn	PROPN
ejpam-3673	385	6	⊕xn	⊕xn	PROPN
ejpam-3673	385	7	⊕	⊕	PROPN
ejpam-3673	385	8	yn+1	yn+1	PROPN
ejpam-3673	386	1	yn−1	yn−1	PROPN
ejpam-3673	386	2	⊕xn−1	⊕xn−1	PROPN
ejpam-3673	386	3	⊕	⊕	PROPN
ejpam-3673	386	4	yn	yn	PRON
ejpam-3673	387	1	yn−2	yn−2	PROPN
ejpam-3673	387	2	⊕xn−2	⊕xn−2	PROPN
ejpam-3673	387	3	⊕	⊕	PROPN
ejpam-3673	387	4	yn−1	yn−1	NOUN
ejpam-3673	387	5	yn	yn	ADP
ejpam-3673	387	6	yn−1	yn−1	PROPN
ejpam-3673	387	7	yn−2	yn−2	PROPN
ejpam-3673	387	8	d	d	PROPN
ejpam-3673	387	9	m(α(f	m(α(f	PROPN
ejpam-3673	387	10	)	)	PUNCT
ejpam-3673	387	11	)	)	PUNCT
ejpam-3673	388	1	n+1	n+1	PROPN
ejpam-3673	388	2	d	d	X
ejpam-3673	388	3	m(f	m(f	PROPN
ejpam-3673	388	4	)	)	PUNCT
ejpam-3673	388	5	n	n	PROPN
ejpam-3673	388	6	−σfnψn	−σfnψn	VERB
ejpam-3673	388	7	β(α(f))n	β(α(f))n	X
ejpam-3673	388	8	gn	gn	PROPN
ejpam-3673	388	9	−dyn	−dyn	PROPN
ejpam-3673	388	10	−dyn−1	−dyn−1	PROPN
ejpam-3673	388	11	(	(	PUNCT
ejpam-3673	388	12	72	72	NUM
ejpam-3673	388	13	)	)	PUNCT
ejpam-3673	388	14	let	let	VERB
ejpam-3673	388	15	gn	gn	PROPN
ejpam-3673	388	16	=	=	PUNCT
ejpam-3673	388	17	(	(	PUNCT
ejpam-3673	388	18	0	0	NUM
ejpam-3673	388	19	0	0	NUM
ejpam-3673	388	20	−1	−1	NOUN
ejpam-3673	388	21	)	)	PUNCT
ejpam-3673	388	22	then	then	ADV
ejpam-3673	388	23	it	it	PRON
ejpam-3673	388	24	is	be	AUX
ejpam-3673	388	25	clear	clear	ADJ
ejpam-3673	388	26	that	that	SCONJ
ejpam-3673	388	27	gn	gn	PROPN
ejpam-3673	388	28	(	(	PUNCT
ejpam-3673	388	29	u	u	PROPN
ejpam-3673	388	30	m(α(f	m(α(f	PROPN
ejpam-3673	388	31	)	)	PUNCT
ejpam-3673	388	32	)	)	PUNCT
ejpam-3673	388	33	n	n	CCONJ
ejpam-3673	388	34	)	)	PUNCT
ejpam-3673	389	1	⊆	⊆	NUM
ejpam-3673	389	2	uσy	uσy	NOUN
ejpam-3673	389	3	n+1	n+1	PROPN
ejpam-3673	389	4	and	and	CCONJ
ejpam-3673	389	5	−σfnψn	−σfnψn	ADP
ejpam-3673	389	6	−	−	PROPN
ejpam-3673	389	7	β	β	X
ejpam-3673	389	8	(	(	PUNCT
ejpam-3673	389	9	α	α	PROPN
ejpam-3673	389	10	(	(	PUNCT
ejpam-3673	389	11	f))n	f))n	NOUN
ejpam-3673	389	12	=	=	SYM
ejpam-3673	389	13	(	(	PUNCT
ejpam-3673	389	14	−1	−1	NOUN
ejpam-3673	389	15	−fn−1	−fn−1	ADV
ejpam-3673	389	16	0	0	NUM
ejpam-3673	389	17	)	)	PUNCT
ejpam-3673	389	18	=	=	SYM
ejpam-3673	389	19	−dyn	−dyn	NOUN
ejpam-3673	389	20	gn	gn	X
ejpam-3673	389	21	+	+	CCONJ
ejpam-3673	389	22	gn−1d	gn−1d	PROPN
ejpam-3673	389	23	m(α(f	m(α(f	PROPN
ejpam-3673	389	24	)	)	PUNCT
ejpam-3673	389	25	)	)	PUNCT
ejpam-3673	390	1	n	n	CCONJ
ejpam-3673	390	2	(	(	PUNCT
ejpam-3673	390	3	73	73	NUM
ejpam-3673	390	4	)	)	PUNCT
ejpam-3673	390	5	we	we	PRON
ejpam-3673	390	6	get	get	AUX
ejpam-3673	390	7	−σfψ	−σfψ	VERB
ejpam-3673	390	8	∼	∼	NOUN
ejpam-3673	390	9	β	β	X
ejpam-3673	390	10	(	(	PUNCT
ejpam-3673	390	11	α	α	PROPN
ejpam-3673	390	12	(	(	PUNCT
ejpam-3673	390	13	f	f	NOUN
ejpam-3673	390	14	)	)	PUNCT
ejpam-3673	390	15	)	)	PUNCT
ejpam-3673	390	16	.	.	PUNCT
ejpam-3673	391	1	next	next	ADV
ejpam-3673	391	2	,	,	PUNCT
ejpam-3673	391	3	we	we	PRON
ejpam-3673	391	4	will	will	AUX
ejpam-3673	391	5	show	show	VERB
ejpam-3673	391	6	that	that	PRON
ejpam-3673	391	7	ψφ	ψφ	ADP
ejpam-3673	391	8	=	=	SYM
ejpam-3673	391	9	1	1	NUM
ejpam-3673	391	10	and	and	CCONJ
ejpam-3673	391	11	φψ	φψ	VERB
ejpam-3673	391	12	∼	∼	NOUN
ejpam-3673	391	13	1	1	NUM
ejpam-3673	391	14	.	.	PUNCT
ejpam-3673	391	15	note	note	VERB
ejpam-3673	391	16	that	that	SCONJ
ejpam-3673	391	17	ψφ	ψφ	ADP
ejpam-3673	391	18	=	=	SYM
ejpam-3673	391	19	(	(	PUNCT
ejpam-3673	391	20	0	0	NUM
ejpam-3673	391	21	1	1	NUM
ejpam-3673	391	22	0	0	NUM
ejpam-3673	391	23	)	)	PUNCT
ejpam-3673	392	1	−σf	−σf	SYM
ejpam-3673	392	2	1	1	NUM
ejpam-3673	392	3	0	0	NUM
ejpam-3673	392	4			PROPN
ejpam-3673	392	5	=	=	SYM
ejpam-3673	392	6	1	1	NUM
ejpam-3673	392	7	(	(	PUNCT
ejpam-3673	392	8	74	74	NUM
ejpam-3673	392	9	)	)	PUNCT
ejpam-3673	392	10	let	let	VERB
ejpam-3673	392	11	pn	pn	VERB
ejpam-3673	392	12	:	:	PUNCT
ejpam-3673	392	13	m	m	VERB
ejpam-3673	392	14	(	(	PUNCT
ejpam-3673	392	15	α	α	PROPN
ejpam-3673	392	16	(	(	PUNCT
ejpam-3673	392	17	f))n	f))n	NOUN
ejpam-3673	392	18	−→m	−→m	X
ejpam-3673	392	19	(	(	PUNCT
ejpam-3673	392	20	α	α	X
ejpam-3673	392	21	(	(	PUNCT
ejpam-3673	392	22	f))n+1	f))n+1	NOUN
ejpam-3673	392	23	=	=	SYM
ejpam-3673	393	1	0	0	ADP
ejpam-3673	393	2	0	0	NUM
ejpam-3673	393	3	−1	−1	NOUN
ejpam-3673	393	4	0	0	NUM
ejpam-3673	393	5	0	0	NUM
ejpam-3673	393	6	0	0	NUM
ejpam-3673	393	7	0	0	NUM
ejpam-3673	393	8	0	0	NUM
ejpam-3673	393	9	0	0	NUM
ejpam-3673	393	10			PROPN
ejpam-3673	393	11	(	(	PUNCT
ejpam-3673	393	12	75	75	NUM
ejpam-3673	393	13	)	)	PUNCT
ejpam-3673	393	14	g.	g.	PROPN
ejpam-3673	393	15	elfiyanti	elfiyanti	PROPN
ejpam-3673	393	16	et	et	PROPN
ejpam-3673	393	17	al	al	PROPN
ejpam-3673	393	18	.	.	PUNCT
ejpam-3673	393	19	/	/	SYM
ejpam-3673	393	20	eur	eur	PROPN
ejpam-3673	393	21	.	.	PUNCT
ejpam-3673	394	1	j.	j.	PROPN
ejpam-3673	394	2	pure	pure	PROPN
ejpam-3673	394	3	appl	appl	PROPN
ejpam-3673	394	4	.	.	PROPN
ejpam-3673	394	5	math	math	PROPN
ejpam-3673	394	6	,	,	PUNCT
ejpam-3673	394	7	13	13	NUM
ejpam-3673	394	8	(	(	PUNCT
ejpam-3673	394	9	2	2	NUM
ejpam-3673	394	10	)	)	PUNCT
ejpam-3673	394	11	(	(	PUNCT
ejpam-3673	394	12	2020	2020	NUM
ejpam-3673	394	13	)	)	PUNCT
ejpam-3673	394	14	,	,	PUNCT
ejpam-3673	394	15	323	323	NUM
ejpam-3673	394	16	-	-	SYM
ejpam-3673	394	17	345	345	NUM
ejpam-3673	394	18	339	339	NUM
ejpam-3673	394	19	then	then	ADV
ejpam-3673	394	20	it	it	PRON
ejpam-3673	394	21	is	be	AUX
ejpam-3673	394	22	clear	clear	ADJ
ejpam-3673	394	23	that	that	SCONJ
ejpam-3673	394	24	pn	pn	PROPN
ejpam-3673	394	25	(	(	PUNCT
ejpam-3673	394	26	u	u	PROPN
ejpam-3673	394	27	m(α(f	m(α(f	PROPN
ejpam-3673	394	28	)	)	PUNCT
ejpam-3673	394	29	)	)	PUNCT
ejpam-3673	394	30	n	n	CCONJ
ejpam-3673	394	31	)	)	PUNCT
ejpam-3673	394	32	⊆	⊆	NUM
ejpam-3673	394	33	u	u	PROPN
ejpam-3673	394	34	m(α(f	m(α(f	PROPN
ejpam-3673	394	35	)	)	PUNCT
ejpam-3673	394	36	)	)	PUNCT
ejpam-3673	395	1	n+1	n+1	PROPN
ejpam-3673	395	2	and	and	CCONJ
ejpam-3673	395	3	φnψn	φnψn	ADJ
ejpam-3673	395	4	−	−	PROPN
ejpam-3673	395	5	1	1	NUM
ejpam-3673	395	6	=	=	SYM
ejpam-3673	395	7	−1	−1	NOUN
ejpam-3673	395	8	−fn−1	−fn−1	ADV
ejpam-3673	395	9	0	0	NUM
ejpam-3673	395	10	0	0	NUM
ejpam-3673	395	11	0	0	NUM
ejpam-3673	395	12	0	0	NUM
ejpam-3673	395	13	0	0	NUM
ejpam-3673	395	14	0	0	NUM
ejpam-3673	395	15	−1	−1	NOUN
ejpam-3673	395	16			PROPN
ejpam-3673	395	17	=	=	SYM
ejpam-3673	395	18	d	d	PROPN
ejpam-3673	395	19	m(α(f	m(α(f	PROPN
ejpam-3673	395	20	)	)	PUNCT
ejpam-3673	395	21	)	)	PUNCT
ejpam-3673	396	1	n+1	n+1	PROPN
ejpam-3673	396	2	pn−1	pn−1	PROPN
ejpam-3673	396	3	+	+	CCONJ
ejpam-3673	396	4	pnd	pnd	PROPN
ejpam-3673	396	5	m(f	m(f	PROPN
ejpam-3673	396	6	)	)	PUNCT
ejpam-3673	396	7	n	n	CCONJ
ejpam-3673	396	8	(	(	PUNCT
ejpam-3673	396	9	76	76	NUM
ejpam-3673	396	10	)	)	PUNCT
ejpam-3673	396	11	thus	thus	ADV
ejpam-3673	396	12	φψ	φψ	X
ejpam-3673	396	13	∼	∼	NOUN
ejpam-3673	396	14	1	1	NUM
ejpam-3673	396	15	.	.	PUNCT
ejpam-3673	397	1	so	so	ADV
ejpam-3673	397	2	the	the	DET
ejpam-3673	397	3	following	follow	VERB
ejpam-3673	397	4	is	be	AUX
ejpam-3673	397	5	a	a	DET
ejpam-3673	397	6	distinguished	distinguished	ADJ
ejpam-3673	397	7	triangle	triangle	NOUN
ejpam-3673	397	8	.	.	PUNCT
ejpam-3673	398	1	y	y	PROPN
ejpam-3673	398	2	m(f	m(f	PROPN
ejpam-3673	398	3	)	)	PUNCT
ejpam-3673	398	4	σ	σ	PROPN
ejpam-3673	398	5	σy	σy	PROPN
ejpam-3673	398	6	α(f	α(f	PROPN
ejpam-3673	398	7	)	)	PUNCT
ejpam-3673	398	8	β(f	β(f	NUM
ejpam-3673	398	9	)	)	PUNCT
ejpam-3673	398	10	−σf	−σf	PROPN
ejpam-3673	398	11	(	(	PUNCT
ejpam-3673	398	12	77	77	NUM
ejpam-3673	398	13	)	)	PUNCT
ejpam-3673	398	14	tr4	tr4	NOUN
ejpam-3673	398	15	suppose	suppose	VERB
ejpam-3673	398	16	we	we	PRON
ejpam-3673	398	17	have	have	VERB
ejpam-3673	398	18	a	a	DET
ejpam-3673	398	19	diagram	diagram	NOUN
ejpam-3673	398	20	x	x	X
ejpam-3673	398	21	y	y	PROPN
ejpam-3673	398	22	m(u	m(u	PROPN
ejpam-3673	398	23	)	)	PUNCT
ejpam-3673	398	24	σx	σx	NOUN
ejpam-3673	398	25	x	x	SYM
ejpam-3673	398	26	′	′	NUM
ejpam-3673	398	27	y	y	NOUN
ejpam-3673	398	28	′	′	NUM
ejpam-3673	398	29	m(u′	m(u′	PROPN
ejpam-3673	398	30	)	)	PUNCT
ejpam-3673	398	31	σx	σx	NOUN
ejpam-3673	398	32	′	′	NUM
ejpam-3673	398	33	u	u	NOUN
ejpam-3673	398	34	f	f	PROPN
ejpam-3673	398	35	α(u	α(u	PROPN
ejpam-3673	398	36	)	)	PUNCT
ejpam-3673	398	37	g	g	PROPN
ejpam-3673	398	38	β(u	β(u	PROPN
ejpam-3673	398	39	)	)	PUNCT
ejpam-3673	398	40	σf	σf	VERB
ejpam-3673	398	41	u′	u′	PROPN
ejpam-3673	398	42	α(u′	α(u′	NUM
ejpam-3673	398	43	)	)	PUNCT
ejpam-3673	398	44	β(u′	β(u′	PROPN
ejpam-3673	398	45	)	)	PUNCT
ejpam-3673	398	46	(	(	PUNCT
ejpam-3673	398	47	78	78	NUM
ejpam-3673	398	48	)	)	PUNCT
ejpam-3673	398	49	where	where	SCONJ
ejpam-3673	398	50	the	the	DET
ejpam-3673	398	51	left	left	ADJ
ejpam-3673	398	52	square	square	ADJ
ejpam-3673	398	53	commutes	commute	NOUN
ejpam-3673	398	54	in	in	ADP
ejpam-3673	398	55	ku	ku	PROPN
ejpam-3673	398	56	(	(	PUNCT
ejpam-3673	398	57	r	r	NOUN
ejpam-3673	398	58	)	)	PUNCT
ejpam-3673	398	59	,	,	PUNCT
ejpam-3673	398	60	i.e.	i.e.	X
ejpam-3673	398	61	there	there	PRON
ejpam-3673	398	62	exist	exist	VERB
ejpam-3673	398	63	homotopy	homotopy	NOUN
ejpam-3673	398	64	map	map	NOUN
ejpam-3673	398	65	sn	sn	INTJ
ejpam-3673	398	66	:	:	PUNCT
ejpam-3673	398	67	xn	xn	PROPN
ejpam-3673	398	68	−→	−→	PROPN
ejpam-3673	398	69	y	y	PROPN
ejpam-3673	398	70	′n+1	′n+1	PROPN
ejpam-3673	398	71	such	such	ADJ
ejpam-3673	398	72	that	that	DET
ejpam-3673	398	73	gnun	gnun	ADJ
ejpam-3673	398	74	−	−	PROPN
ejpam-3673	398	75	u′nfn	u′nfn	SYM
ejpam-3673	398	76	=	=	SYM
ejpam-3673	398	77	dy	dy	NOUN
ejpam-3673	398	78	′	′	NUM
ejpam-3673	398	79	n+1sn	n+1sn	NOUN
ejpam-3673	398	80	+	+	CCONJ
ejpam-3673	398	81	sn−1d	sn−1d	NOUN
ejpam-3673	398	82	x	x	SYM
ejpam-3673	398	83	n	n	NOUN
ejpam-3673	398	84	and	and	CCONJ
ejpam-3673	398	85	sn	sn	PROPN
ejpam-3673	398	86	(	(	PUNCT
ejpam-3673	398	87	uxn	uxn	ADJ
ejpam-3673	398	88	)	)	PUNCT
ejpam-3673	399	1	⊆	⊆	NUM
ejpam-3673	399	2	uy	uy	NOUN
ejpam-3673	399	3	′n+1	′n+1	NOUN
ejpam-3673	399	4	for	for	ADP
ejpam-3673	399	5	all	all	DET
ejpam-3673	399	6	n	n	PRON
ejpam-3673	399	7	∈	∈	PROPN
ejpam-3673	399	8	z.	z.	PROPN
ejpam-3673	399	9	define	define	VERB
ejpam-3673	399	10	h	h	PROPN
ejpam-3673	399	11	=	=	SYM
ejpam-3673	399	12	(	(	PUNCT
ejpam-3673	399	13	hn	hn	PROPN
ejpam-3673	399	14	)	)	PUNCT
ejpam-3673	399	15	:	:	PUNCT
ejpam-3673	399	16	m	m	VERB
ejpam-3673	399	17	(	(	PUNCT
ejpam-3673	399	18	u	u	NOUN
ejpam-3673	399	19	)	)	PUNCT
ejpam-3673	399	20	−→m	−→m	PROPN
ejpam-3673	399	21	(	(	PUNCT
ejpam-3673	399	22	u′	u′	PROPN
ejpam-3673	399	23	)	)	PUNCT
ejpam-3673	399	24	where	where	SCONJ
ejpam-3673	399	25	hn	hn	PROPN
ejpam-3673	399	26	=	=	PRON
ejpam-3673	399	27	(	(	PUNCT
ejpam-3673	399	28	fn−1	fn−1	PROPN
ejpam-3673	399	29	0	0	NUM
ejpam-3673	399	30	sn−1	sn−1	PROPN
ejpam-3673	399	31	gn	gn	PROPN
ejpam-3673	399	32	)	)	PUNCT
ejpam-3673	399	33	(	(	PUNCT
ejpam-3673	399	34	79	79	X
ejpam-3673	399	35	)	)	PUNCT
ejpam-3673	399	36	observe	observe	VERB
ejpam-3673	399	37	that	that	DET
ejpam-3673	399	38	hnα	hnα	NOUN
ejpam-3673	399	39	(	(	PUNCT
ejpam-3673	399	40	u)n	u)n	X
ejpam-3673	399	41	=	=	SYM
ejpam-3673	399	42	(	(	PUNCT
ejpam-3673	399	43	0	0	NUM
ejpam-3673	399	44	gn	gn	NOUN
ejpam-3673	399	45	)	)	PUNCT
ejpam-3673	400	1	=	=	SYM
ejpam-3673	400	2	α	α	PROPN
ejpam-3673	400	3	(	(	PUNCT
ejpam-3673	400	4	u′	u′	PROPN
ejpam-3673	400	5	)	)	PUNCT
ejpam-3673	400	6	gn	gn	PROPN
ejpam-3673	400	7	(	(	PUNCT
ejpam-3673	400	8	80	80	NUM
ejpam-3673	400	9	)	)	PUNCT
ejpam-3673	400	10	and	and	CCONJ
ejpam-3673	400	11	β	β	X
ejpam-3673	400	12	(	(	PUNCT
ejpam-3673	400	13	u′	u′	PROPN
ejpam-3673	400	14	)	)	PUNCT
ejpam-3673	400	15	n	n	CCONJ
ejpam-3673	400	16	hn	hn	NOUN
ejpam-3673	401	1	=	=	SYM
ejpam-3673	402	1	(	(	PUNCT
ejpam-3673	402	2	fn−1	fn−1	PROPN
ejpam-3673	402	3	0	0	NUM
ejpam-3673	402	4	)	)	PUNCT
ejpam-3673	402	5	=	=	SYM
ejpam-3673	403	1	(	(	PUNCT
ejpam-3673	403	2	σf)n	σf)n	PROPN
ejpam-3673	403	3	β	β	X
ejpam-3673	403	4	(	(	PUNCT
ejpam-3673	403	5	u)n	u)n	X
ejpam-3673	403	6	(	(	PUNCT
ejpam-3673	403	7	81	81	NUM
ejpam-3673	403	8	)	)	PUNCT
ejpam-3673	403	9	and	and	CCONJ
ejpam-3673	403	10	for	for	ADP
ejpam-3673	403	11	any	any	DET
ejpam-3673	403	12	(	(	PUNCT
ejpam-3673	403	13	a	a	PRON
ejpam-3673	403	14	,	,	PUNCT
ejpam-3673	403	15	b	b	NOUN
ejpam-3673	403	16	)	)	PUNCT
ejpam-3673	403	17	∈	∈	NOUN
ejpam-3673	403	18	um(u	um(u	PRON
ejpam-3673	403	19	)	)	PUNCT
ejpam-3673	403	20	n	n	NOUN
ejpam-3673	403	21	=	=	SYM
ejpam-3673	403	22	uxn−1	uxn−1	PROPN
ejpam-3673	403	23	⊕	⊕	PROPN
ejpam-3673	403	24	uyn	uyn	VERB
ejpam-3673	403	25	we	we	PRON
ejpam-3673	403	26	have	have	VERB
ejpam-3673	403	27	h	h	NOUN
ejpam-3673	403	28	(	(	PUNCT
ejpam-3673	403	29	a	a	DET
ejpam-3673	403	30	b	b	NOUN
ejpam-3673	403	31	)	)	PUNCT
ejpam-3673	403	32	=	=	SYM
ejpam-3673	403	33	(	(	PUNCT
ejpam-3673	403	34	fn−1	fn−1	PROPN
ejpam-3673	403	35	(	(	PUNCT
ejpam-3673	403	36	a	a	NOUN
ejpam-3673	403	37	)	)	PUNCT
ejpam-3673	403	38	gn	gn	PROPN
ejpam-3673	403	39	(	(	PUNCT
ejpam-3673	403	40	b	b	NOUN
ejpam-3673	403	41	)	)	PUNCT
ejpam-3673	404	1	+	+	CCONJ
ejpam-3673	404	2	sn−1	sn−1	PROPN
ejpam-3673	404	3	(	(	PUNCT
ejpam-3673	404	4	a	a	NOUN
ejpam-3673	404	5	)	)	PUNCT
ejpam-3673	404	6	)	)	PUNCT
ejpam-3673	405	1	∈	∈	PROPN
ejpam-3673	405	2	(	(	PUNCT
ejpam-3673	405	3	ux	ux	INTJ
ejpam-3673	405	4	′	′	NUM
ejpam-3673	405	5	n−1	n−1	PROPN
ejpam-3673	405	6	uy	uy	INTJ
ejpam-3673	405	7	′	′	NUM
ejpam-3673	405	8	n	n	PROPN
ejpam-3673	405	9	)	)	PUNCT
ejpam-3673	405	10	=	=	SYM
ejpam-3673	405	11	um(u′	um(u′	PROPN
ejpam-3673	405	12	)	)	PUNCT
ejpam-3673	405	13	n	n	CCONJ
ejpam-3673	405	14	(	(	PUNCT
ejpam-3673	405	15	82	82	NUM
ejpam-3673	405	16	)	)	PUNCT
ejpam-3673	405	17	hence	hence	ADV
ejpam-3673	405	18	(	(	PUNCT
ejpam-3673	405	19	f	f	X
ejpam-3673	405	20	,	,	PUNCT
ejpam-3673	405	21	g	g	PROPN
ejpam-3673	405	22	,	,	PUNCT
ejpam-3673	405	23	h	h	NOUN
ejpam-3673	405	24	)	)	PUNCT
ejpam-3673	405	25	is	be	AUX
ejpam-3673	405	26	a	a	DET
ejpam-3673	405	27	morphism	morphism	NOUN
ejpam-3673	405	28	of	of	ADP
ejpam-3673	405	29	triangle	triangle	NOUN
ejpam-3673	405	30	in	in	ADP
ejpam-3673	405	31	ku	ku	PROPN
ejpam-3673	405	32	(	(	PUNCT
ejpam-3673	405	33	r	r	NOUN
ejpam-3673	405	34	)	)	PUNCT
ejpam-3673	405	35	.	.	PUNCT
ejpam-3673	406	1	tr5	tr5	PROPN
ejpam-3673	406	2	assume	assume	VERB
ejpam-3673	406	3	that	that	SCONJ
ejpam-3673	406	4	we	we	PRON
ejpam-3673	406	5	have	have	VERB
ejpam-3673	406	6	the	the	DET
ejpam-3673	406	7	following	follow	VERB
ejpam-3673	406	8	diagram	diagram	NOUN
ejpam-3673	406	9	in	in	ADP
ejpam-3673	406	10	ku	ku	PROPN
ejpam-3673	406	11	(	(	PUNCT
ejpam-3673	406	12	r	r	NOUN
ejpam-3673	406	13	)	)	PUNCT
ejpam-3673	406	14	.	.	PUNCT
ejpam-3673	407	1	x	x	PUNCT
ejpam-3673	407	2	y	y	PROPN
ejpam-3673	407	3	m(u	m(u	PROPN
ejpam-3673	407	4	)	)	PUNCT
ejpam-3673	407	5	σx	σx	ADP
ejpam-3673	407	6	x	x	X
ejpam-3673	407	7	z	z	NOUN
ejpam-3673	407	8	m(vu	m(vu	NOUN
ejpam-3673	407	9	)	)	PUNCT
ejpam-3673	407	10	σx	σx	ADP
ejpam-3673	407	11	y	y	PROPN
ejpam-3673	407	12	z	z	PROPN
ejpam-3673	407	13	m(v	m(v	PROPN
ejpam-3673	407	14	)	)	PUNCT
ejpam-3673	407	15	σy	σy	NOUN
ejpam-3673	407	16	m(u	m(u	PROPN
ejpam-3673	407	17	)	)	PUNCT
ejpam-3673	407	18	m(vu	m(vu	NOUN
ejpam-3673	407	19	)	)	PUNCT
ejpam-3673	407	20	m(v	m(v	NOUN
ejpam-3673	407	21	)	)	PUNCT
ejpam-3673	407	22	σm(u	σm(u	X
ejpam-3673	407	23	)	)	PUNCT
ejpam-3673	407	24	u	u	PROPN
ejpam-3673	407	25	α(u	α(u	NOUN
ejpam-3673	407	26	)	)	PUNCT
ejpam-3673	407	27	v	v	ADP
ejpam-3673	407	28	β(u	β(u	PROPN
ejpam-3673	407	29	)	)	PUNCT
ejpam-3673	407	30	vu	vu	X
ejpam-3673	407	31	u	u	PROPN
ejpam-3673	407	32	α(vu	α(vu	PROPN
ejpam-3673	407	33	)	)	PUNCT
ejpam-3673	407	34	β(vu	β(vu	NOUN
ejpam-3673	407	35	)	)	PUNCT
ejpam-3673	407	36	σu	σu	X
ejpam-3673	407	37	α(u	α(u	NOUN
ejpam-3673	407	38	)	)	PUNCT
ejpam-3673	407	39	v	v	ADP
ejpam-3673	407	40	α(vu	α(vu	NUM
ejpam-3673	407	41	)	)	PUNCT
ejpam-3673	407	42	α(v	α(v	PROPN
ejpam-3673	407	43	)	)	PUNCT
ejpam-3673	407	44	β(v	β(v	ADJ
ejpam-3673	407	45	)	)	PUNCT
ejpam-3673	407	46	σα(u	σα(u	NUM
ejpam-3673	407	47	)	)	PUNCT
ejpam-3673	407	48	(	(	PUNCT
ejpam-3673	407	49	83	83	NUM
ejpam-3673	407	50	)	)	PUNCT
ejpam-3673	408	1	g.	g.	PROPN
ejpam-3673	408	2	elfiyanti	elfiyanti	PROPN
ejpam-3673	408	3	et	et	PROPN
ejpam-3673	408	4	al	al	PROPN
ejpam-3673	408	5	.	.	PUNCT
ejpam-3673	408	6	/	/	SYM
ejpam-3673	408	7	eur	eur	PROPN
ejpam-3673	408	8	.	.	PUNCT
ejpam-3673	409	1	j.	j.	PROPN
ejpam-3673	409	2	pure	pure	PROPN
ejpam-3673	409	3	appl	appl	PROPN
ejpam-3673	409	4	.	.	PROPN
ejpam-3673	409	5	math	math	PROPN
ejpam-3673	409	6	,	,	PUNCT
ejpam-3673	409	7	13	13	NUM
ejpam-3673	409	8	(	(	PUNCT
ejpam-3673	409	9	2	2	NUM
ejpam-3673	409	10	)	)	PUNCT
ejpam-3673	409	11	(	(	PUNCT
ejpam-3673	409	12	2020	2020	NUM
ejpam-3673	409	13	)	)	PUNCT
ejpam-3673	409	14	,	,	PUNCT
ejpam-3673	409	15	323	323	NUM
ejpam-3673	409	16	-	-	SYM
ejpam-3673	409	17	345	345	NUM
ejpam-3673	409	18	340	340	NUM
ejpam-3673	409	19	we	we	PRON
ejpam-3673	409	20	define	define	VERB
ejpam-3673	409	21	the	the	DET
ejpam-3673	409	22	missing	miss	VERB
ejpam-3673	409	23	morphisms	morphism	NOUN
ejpam-3673	409	24	as	as	SCONJ
ejpam-3673	409	25	follows	follow	VERB
ejpam-3673	409	26	.	.	PUNCT
ejpam-3673	410	1	f	f	X
ejpam-3673	410	2	:	:	PUNCT
ejpam-3673	411	1	m	m	VERB
ejpam-3673	411	2	(	(	PUNCT
ejpam-3673	411	3	u	u	NOUN
ejpam-3673	411	4	)	)	PUNCT
ejpam-3673	411	5	−→m	−→m	PROPN
ejpam-3673	411	6	(	(	PUNCT
ejpam-3673	411	7	vu	vu	NOUN
ejpam-3673	411	8	)	)	PUNCT
ejpam-3673	411	9	where	where	SCONJ
ejpam-3673	411	10	fn	fn	NOUN
ejpam-3673	411	11	=	=	PUNCT
ejpam-3673	411	12	(	(	PUNCT
ejpam-3673	411	13	1	1	NUM
ejpam-3673	411	14	0	0	NUM
ejpam-3673	411	15	0	0	NUM
ejpam-3673	411	16	vn	vn	NOUN
ejpam-3673	411	17	)	)	PUNCT
ejpam-3673	411	18	(	(	PUNCT
ejpam-3673	411	19	84	84	NUM
ejpam-3673	411	20	)	)	PUNCT
ejpam-3673	411	21	g	g	NOUN
ejpam-3673	411	22	:	:	PUNCT
ejpam-3673	411	23	m	m	PROPN
ejpam-3673	411	24	(	(	PUNCT
ejpam-3673	411	25	vu	vu	PROPN
ejpam-3673	411	26	)	)	PUNCT
ejpam-3673	411	27	−→m	−→m	PROPN
ejpam-3673	411	28	(	(	PUNCT
ejpam-3673	411	29	v	v	NOUN
ejpam-3673	411	30	)	)	PUNCT
ejpam-3673	411	31	where	where	SCONJ
ejpam-3673	411	32	gn	gn	PROPN
ejpam-3673	412	1	=	=	PUNCT
ejpam-3673	412	2	(	(	PUNCT
ejpam-3673	412	3	un−1	un−1	PROPN
ejpam-3673	412	4	0	0	NUM
ejpam-3673	412	5	0	0	NUM
ejpam-3673	412	6	1	1	NUM
ejpam-3673	412	7	)	)	PUNCT
ejpam-3673	412	8	(	(	PUNCT
ejpam-3673	412	9	85	85	NUM
ejpam-3673	412	10	)	)	PUNCT
ejpam-3673	412	11	h	h	NOUN
ejpam-3673	412	12	:	:	PUNCT
ejpam-3673	412	13	m	m	VERB
ejpam-3673	412	14	(	(	PUNCT
ejpam-3673	412	15	v	v	NOUN
ejpam-3673	412	16	)	)	PUNCT
ejpam-3673	412	17	−→	−→	NOUN
ejpam-3673	412	18	σm	σm	X
ejpam-3673	412	19	(	(	PUNCT
ejpam-3673	412	20	u	u	NOUN
ejpam-3673	412	21	)	)	PUNCT
ejpam-3673	412	22	where	where	SCONJ
ejpam-3673	412	23	hn	hn	PROPN
ejpam-3673	412	24	=	=	NOUN
ejpam-3673	412	25	σα	σα	PROPN
ejpam-3673	412	26	(	(	PUNCT
ejpam-3673	412	27	u)β	u)β	X
ejpam-3673	412	28	(	(	PUNCT
ejpam-3673	412	29	v	v	NOUN
ejpam-3673	412	30	)	)	PUNCT
ejpam-3673	412	31	=	=	PUNCT
ejpam-3673	412	32	(	(	PUNCT
ejpam-3673	412	33	0	0	NUM
ejpam-3673	412	34	0	0	NUM
ejpam-3673	412	35	1	1	NUM
ejpam-3673	412	36	0	0	NUM
ejpam-3673	412	37	)	)	PUNCT
ejpam-3673	412	38	(	(	PUNCT
ejpam-3673	412	39	86	86	NUM
ejpam-3673	412	40	)	)	PUNCT
ejpam-3673	412	41	x	x	SYM
ejpam-3673	412	42	y	y	PROPN
ejpam-3673	412	43	m(u	m(u	PROPN
ejpam-3673	412	44	)	)	PUNCT
ejpam-3673	412	45	σx	σx	ADP
ejpam-3673	412	46	x	x	X
ejpam-3673	412	47	z	z	NOUN
ejpam-3673	412	48	m(vu	m(vu	NOUN
ejpam-3673	412	49	)	)	PUNCT
ejpam-3673	412	50	σx	σx	ADP
ejpam-3673	412	51	y	y	PROPN
ejpam-3673	412	52	z	z	PROPN
ejpam-3673	412	53	m(v	m(v	PROPN
ejpam-3673	412	54	)	)	PUNCT
ejpam-3673	412	55	σy	σy	NOUN
ejpam-3673	412	56	m(u	m(u	PROPN
ejpam-3673	412	57	)	)	PUNCT
ejpam-3673	412	58	m(vu	m(vu	NOUN
ejpam-3673	412	59	)	)	PUNCT
ejpam-3673	412	60	m(v	m(v	NOUN
ejpam-3673	412	61	)	)	PUNCT
ejpam-3673	412	62	σm(u	σm(u	X
ejpam-3673	412	63	)	)	PUNCT
ejpam-3673	412	64	u	u	PROPN
ejpam-3673	412	65	α(u	α(u	NOUN
ejpam-3673	412	66	)	)	PUNCT
ejpam-3673	412	67	v	v	ADP
ejpam-3673	412	68	β(u	β(u	PROPN
ejpam-3673	412	69	)	)	PUNCT
ejpam-3673	412	70	f	f	PROPN
ejpam-3673	412	71	vu	vu	X
ejpam-3673	412	72	u	u	PROPN
ejpam-3673	412	73	α(vu	α(vu	PROPN
ejpam-3673	412	74	)	)	PUNCT
ejpam-3673	412	75	β(vu	β(vu	NOUN
ejpam-3673	412	76	)	)	PUNCT
ejpam-3673	412	77	g	g	NOUN
ejpam-3673	412	78	σu	σu	X
ejpam-3673	412	79	α(u	α(u	PROPN
ejpam-3673	412	80	)	)	PUNCT
ejpam-3673	412	81	v	v	ADP
ejpam-3673	412	82	α(vu	α(vu	NUM
ejpam-3673	412	83	)	)	PUNCT
ejpam-3673	412	84	α(v	α(v	PROPN
ejpam-3673	412	85	)	)	PUNCT
ejpam-3673	412	86	β(v	β(v	ADJ
ejpam-3673	412	87	)	)	PUNCT
ejpam-3673	412	88	σα(u	σα(u	NUM
ejpam-3673	412	89	)	)	PUNCT
ejpam-3673	413	1	f	f	PROPN
ejpam-3673	414	1	g	g	PROPN
ejpam-3673	414	2	h	h	PROPN
ejpam-3673	414	3	(	(	PUNCT
ejpam-3673	414	4	87	87	NUM
ejpam-3673	414	5	)	)	PUNCT
ejpam-3673	414	6	it	it	PRON
ejpam-3673	414	7	easy	easy	ADJ
ejpam-3673	414	8	to	to	PART
ejpam-3673	414	9	check	check	VERB
ejpam-3673	414	10	that	that	DET
ejpam-3673	414	11	fn	fn	INTJ
ejpam-3673	414	12	(	(	PUNCT
ejpam-3673	414	13	u	u	NOUN
ejpam-3673	414	14	m(u	m(u	PROPN
ejpam-3673	414	15	)	)	PUNCT
ejpam-3673	414	16	n	n	CCONJ
ejpam-3673	414	17	)	)	PUNCT
ejpam-3673	414	18	⊆	⊆	NUM
ejpam-3673	414	19	um(vu	um(vu	NOUN
ejpam-3673	414	20	)	)	PUNCT
ejpam-3673	414	21	n	n	NOUN
ejpam-3673	414	22	,	,	PUNCT
ejpam-3673	414	23	g	g	PROPN
ejpam-3673	414	24	(	(	PUNCT
ejpam-3673	414	25	u	u	NOUN
ejpam-3673	414	26	m(vu	m(vu	NOUN
ejpam-3673	414	27	)	)	PUNCT
ejpam-3673	414	28	n	n	CCONJ
ejpam-3673	414	29	)	)	PUNCT
ejpam-3673	414	30	⊆	⊆	NUM
ejpam-3673	414	31	um(v	um(v	ADJ
ejpam-3673	414	32	)	)	PUNCT
ejpam-3673	414	33	n	n	NOUN
ejpam-3673	414	34	and	and	CCONJ
ejpam-3673	414	35	hn	hn	PROPN
ejpam-3673	414	36	(	(	PUNCT
ejpam-3673	414	37	u	u	NOUN
ejpam-3673	414	38	m(v	m(v	PROPN
ejpam-3673	414	39	)	)	PUNCT
ejpam-3673	414	40	n	n	CCONJ
ejpam-3673	414	41	)	)	PUNCT
ejpam-3673	414	42	⊆	⊆	X
ejpam-3673	414	43	u	u	NOUN
ejpam-3673	414	44	σm(v	σm(v	X
ejpam-3673	414	45	)	)	PUNCT
ejpam-3673	414	46	n	n	X
ejpam-3673	414	47	.	.	PUNCT
ejpam-3673	415	1	moreover	moreover	ADV
ejpam-3673	415	2	fnα(u)n	fnα(u)n	NOUN
ejpam-3673	415	3	−	−	PROPN
ejpam-3673	415	4	α(vu)nvn	α(vu)nvn	PROPN
ejpam-3673	415	5	=	=	PUNCT
ejpam-3673	415	6	(	(	PUNCT
ejpam-3673	415	7	1	1	NUM
ejpam-3673	415	8	0	0	NUM
ejpam-3673	415	9	0	0	NUM
ejpam-3673	415	10	vn	vn	NOUN
ejpam-3673	415	11	)	)	PUNCT
ejpam-3673	415	12	(	(	PUNCT
ejpam-3673	415	13	0	0	NUM
ejpam-3673	415	14	1	1	NUM
ejpam-3673	415	15	)	)	PUNCT
ejpam-3673	415	16	−	−	PROPN
ejpam-3673	416	1	(	(	PUNCT
ejpam-3673	416	2	0	0	NUM
ejpam-3673	416	3	1	1	NUM
ejpam-3673	416	4	)	)	PUNCT
ejpam-3673	416	5	vn	vn	NOUN
ejpam-3673	416	6	=	=	SYM
ejpam-3673	416	7	(	(	PUNCT
ejpam-3673	416	8	0	0	NUM
ejpam-3673	416	9	0	0	NUM
ejpam-3673	416	10	)	)	PUNCT
ejpam-3673	416	11	(	(	PUNCT
ejpam-3673	416	12	88	88	NUM
ejpam-3673	416	13	)	)	PUNCT
ejpam-3673	416	14	β(vu)nfn	β(vu)nfn	PROPN
ejpam-3673	416	15	−	−	PROPN
ejpam-3673	416	16	1β(u)n	1β(u)n	NUM
ejpam-3673	416	17	=	=	SYM
ejpam-3673	416	18	(	(	PUNCT
ejpam-3673	416	19	1	1	NUM
ejpam-3673	416	20	0	0	NUM
ejpam-3673	416	21	)	)	PUNCT
ejpam-3673	416	22	(	(	PUNCT
ejpam-3673	416	23	1	1	NUM
ejpam-3673	416	24	0	0	NUM
ejpam-3673	416	25	0	0	NUM
ejpam-3673	416	26	vn	vn	NOUN
ejpam-3673	416	27	)	)	PUNCT
ejpam-3673	417	1	−	−	PROPN
ejpam-3673	417	2	1	1	NUM
ejpam-3673	417	3	(	(	PUNCT
ejpam-3673	417	4	1	1	NUM
ejpam-3673	417	5	0	0	NUM
ejpam-3673	417	6	)	)	PUNCT
ejpam-3673	418	1	=	=	PUNCT
ejpam-3673	418	2	(	(	PUNCT
ejpam-3673	418	3	0	0	NUM
ejpam-3673	418	4	0	0	NUM
ejpam-3673	418	5	)	)	PUNCT
ejpam-3673	418	6	(	(	PUNCT
ejpam-3673	418	7	89	89	X
ejpam-3673	418	8	)	)	PUNCT
ejpam-3673	418	9	gnα(vu)n	gnα(vu)n	NOUN
ejpam-3673	418	10	−	−	PROPN
ejpam-3673	418	11	α(v)n	α(v)n	NOUN
ejpam-3673	418	12	=	=	PUNCT
ejpam-3673	418	13	(	(	PUNCT
ejpam-3673	418	14	un−1	un−1	ADJ
ejpam-3673	418	15	0	0	NUM
ejpam-3673	418	16	0	0	NUM
ejpam-3673	418	17	1	1	NUM
ejpam-3673	418	18	)	)	PUNCT
ejpam-3673	418	19	(	(	PUNCT
ejpam-3673	418	20	0	0	NUM
ejpam-3673	418	21	1	1	NUM
ejpam-3673	418	22	)	)	PUNCT
ejpam-3673	418	23	−	−	PROPN
ejpam-3673	419	1	(	(	PUNCT
ejpam-3673	419	2	0	0	NUM
ejpam-3673	419	3	1	1	NUM
ejpam-3673	419	4	)	)	PUNCT
ejpam-3673	419	5	=	=	SYM
ejpam-3673	420	1	(	(	PUNCT
ejpam-3673	420	2	0	0	NUM
ejpam-3673	420	3	0	0	NUM
ejpam-3673	420	4	)	)	PUNCT
ejpam-3673	420	5	(	(	PUNCT
ejpam-3673	420	6	90	90	NUM
ejpam-3673	420	7	)	)	PUNCT
ejpam-3673	420	8	β(v)ngn	β(v)ngn	NOUN
ejpam-3673	421	1	−	−	PROPN
ejpam-3673	421	2	un−1β(vu)n	un−1β(vu)n	NOUN
ejpam-3673	421	3	=	=	PUNCT
ejpam-3673	421	4	(	(	PUNCT
ejpam-3673	421	5	1	1	NUM
ejpam-3673	421	6	0	0	NUM
ejpam-3673	421	7	)	)	PUNCT
ejpam-3673	421	8	(	(	PUNCT
ejpam-3673	421	9	un−1	un−1	ADJ
ejpam-3673	421	10	0	0	NUM
ejpam-3673	421	11	0	0	NUM
ejpam-3673	421	12	1	1	NUM
ejpam-3673	421	13	)	)	PUNCT
ejpam-3673	421	14	−	−	PROPN
ejpam-3673	422	1	un−1	un−1	ADJ
ejpam-3673	422	2	(	(	PUNCT
ejpam-3673	422	3	1	1	NUM
ejpam-3673	422	4	0	0	NUM
ejpam-3673	422	5	)	)	PUNCT
ejpam-3673	422	6	=	=	PUNCT
ejpam-3673	423	1	(	(	PUNCT
ejpam-3673	423	2	0	0	NUM
ejpam-3673	423	3	0	0	NUM
ejpam-3673	423	4	)	)	PUNCT
ejpam-3673	423	5	(	(	PUNCT
ejpam-3673	423	6	91	91	NUM
ejpam-3673	423	7	)	)	PUNCT
ejpam-3673	423	8	hence	hence	ADV
ejpam-3673	423	9	(	(	PUNCT
ejpam-3673	423	10	f	f	X
ejpam-3673	423	11	,	,	PUNCT
ejpam-3673	423	12	g	g	PROPN
ejpam-3673	423	13	,	,	PUNCT
ejpam-3673	423	14	h	h	NOUN
ejpam-3673	423	15	)	)	PUNCT
ejpam-3673	423	16	is	be	AUX
ejpam-3673	423	17	a	a	DET
ejpam-3673	423	18	morphism	morphism	NOUN
ejpam-3673	423	19	of	of	ADP
ejpam-3673	423	20	triangles	triangle	NOUN
ejpam-3673	423	21	in	in	ADP
ejpam-3673	423	22	ku	ku	PROPN
ejpam-3673	423	23	(	(	PUNCT
ejpam-3673	423	24	r	r	NOUN
ejpam-3673	423	25	)	)	PUNCT
ejpam-3673	423	26	.	.	PUNCT
ejpam-3673	424	1	now	now	ADV
ejpam-3673	424	2	we	we	PRON
ejpam-3673	424	3	need	need	VERB
ejpam-3673	424	4	to	to	PART
ejpam-3673	424	5	show	show	VERB
ejpam-3673	424	6	that	that	SCONJ
ejpam-3673	424	7	the	the	DET
ejpam-3673	424	8	bottom	bottom	ADJ
ejpam-3673	424	9	line	line	NOUN
ejpam-3673	424	10	m(u	m(u	PROPN
ejpam-3673	424	11	)	)	PUNCT
ejpam-3673	424	12	m(vu	m(vu	NOUN
ejpam-3673	424	13	)	)	PUNCT
ejpam-3673	424	14	m(v	m(v	NOUN
ejpam-3673	424	15	)	)	PUNCT
ejpam-3673	424	16	σm(u	σm(u	PUNCT
ejpam-3673	424	17	)	)	PUNCT
ejpam-3673	424	18	f	f	PROPN
ejpam-3673	424	19	g	g	PROPN
ejpam-3673	424	20	h	h	PROPN
ejpam-3673	424	21	(	(	PUNCT
ejpam-3673	424	22	92	92	NUM
ejpam-3673	424	23	)	)	PUNCT
ejpam-3673	424	24	is	be	AUX
ejpam-3673	424	25	a	a	DET
ejpam-3673	424	26	distinguished	distinguished	ADJ
ejpam-3673	424	27	triangle	triangle	NOUN
ejpam-3673	424	28	di	di	X
ejpam-3673	424	29	ku	ku	PROPN
ejpam-3673	424	30	(	(	PUNCT
ejpam-3673	424	31	r	r	NOUN
ejpam-3673	424	32	)	)	PUNCT
ejpam-3673	424	33	.	.	PUNCT
ejpam-3673	425	1	for	for	ADP
ejpam-3673	425	2	this	this	PRON
ejpam-3673	425	3	we	we	PRON
ejpam-3673	425	4	construct	construct	VERB
ejpam-3673	425	5	an	an	DET
ejpam-3673	425	6	isomorphism	isomorphism	NOUN
ejpam-3673	425	7	to	to	ADP
ejpam-3673	425	8	the	the	DET
ejpam-3673	425	9	standard	standard	ADJ
ejpam-3673	425	10	triangle	triangle	NOUN
ejpam-3673	425	11	m(u	m(u	NOUN
ejpam-3673	425	12	)	)	PUNCT
ejpam-3673	425	13	m(vu	m(vu	NOUN
ejpam-3673	425	14	)	)	PUNCT
ejpam-3673	425	15	m(f	m(f	PROPN
ejpam-3673	425	16	)	)	PUNCT
ejpam-3673	425	17	σm(u	σm(u	PUNCT
ejpam-3673	425	18	)	)	PUNCT
ejpam-3673	425	19	f	f	PROPN
ejpam-3673	425	20	α(f	α(f	PROPN
ejpam-3673	425	21	)	)	PUNCT
ejpam-3673	425	22	β(f	β(f	NUM
ejpam-3673	425	23	)	)	PUNCT
ejpam-3673	425	24	(	(	PUNCT
ejpam-3673	425	25	93	93	NUM
ejpam-3673	425	26	)	)	PUNCT
ejpam-3673	425	27	since	since	SCONJ
ejpam-3673	425	28	only	only	ADV
ejpam-3673	425	29	the	the	DET
ejpam-3673	425	30	third	third	ADJ
ejpam-3673	425	31	entries	entry	NOUN
ejpam-3673	425	32	in	in	ADP
ejpam-3673	425	33	triangles	triangle	NOUN
ejpam-3673	425	34	are	be	AUX
ejpam-3673	425	35	different	different	ADJ
ejpam-3673	425	36	,	,	PUNCT
ejpam-3673	425	37	it	it	PRON
ejpam-3673	425	38	suffices	suffice	VERB
ejpam-3673	425	39	to	to	PART
ejpam-3673	425	40	find	find	VERB
ejpam-3673	425	41	morphisms	morphism	NOUN
ejpam-3673	425	42	σ	σ	NOUN
ejpam-3673	425	43	:	:	PUNCT
ejpam-3673	425	44	m	m	PROPN
ejpam-3673	425	45	(	(	PUNCT
ejpam-3673	425	46	v	v	NOUN
ejpam-3673	425	47	)	)	PUNCT
ejpam-3673	425	48	−→	−→	NOUN
ejpam-3673	425	49	m	m	PROPN
ejpam-3673	425	50	(	(	PUNCT
ejpam-3673	425	51	f	f	X
ejpam-3673	425	52	)	)	PUNCT
ejpam-3673	425	53	and	and	CCONJ
ejpam-3673	425	54	τ	τ	PROPN
ejpam-3673	425	55	:	:	PUNCT
ejpam-3673	425	56	m	m	VERB
ejpam-3673	425	57	(	(	PUNCT
ejpam-3673	425	58	f	f	X
ejpam-3673	425	59	)	)	PUNCT
ejpam-3673	425	60	−→	−→	NOUN
ejpam-3673	425	61	m	m	PROPN
ejpam-3673	425	62	(	(	PUNCT
ejpam-3673	425	63	v	v	NOUN
ejpam-3673	425	64	)	)	PUNCT
ejpam-3673	425	65	such	such	ADJ
ejpam-3673	425	66	that	that	SCONJ
ejpam-3673	425	67	the	the	DET
ejpam-3673	425	68	diagrams	diagram	NOUN
ejpam-3673	425	69	commute	commute	VERB
ejpam-3673	425	70	in	in	ADP
ejpam-3673	425	71	g.	g.	PROPN
ejpam-3673	425	72	elfiyanti	elfiyanti	PROPN
ejpam-3673	425	73	et	et	PROPN
ejpam-3673	425	74	al	al	PROPN
ejpam-3673	425	75	.	.	PUNCT
ejpam-3673	425	76	/	/	SYM
ejpam-3673	425	77	eur	eur	PROPN
ejpam-3673	425	78	.	.	PUNCT
ejpam-3673	426	1	j.	j.	PROPN
ejpam-3673	426	2	pure	pure	PROPN
ejpam-3673	426	3	appl	appl	PROPN
ejpam-3673	426	4	.	.	PROPN
ejpam-3673	426	5	math	math	PROPN
ejpam-3673	426	6	,	,	PUNCT
ejpam-3673	426	7	13	13	NUM
ejpam-3673	426	8	(	(	PUNCT
ejpam-3673	426	9	2	2	NUM
ejpam-3673	426	10	)	)	PUNCT
ejpam-3673	426	11	(	(	PUNCT
ejpam-3673	426	12	2020	2020	NUM
ejpam-3673	426	13	)	)	PUNCT
ejpam-3673	426	14	,	,	PUNCT
ejpam-3673	426	15	323	323	NUM
ejpam-3673	426	16	-	-	SYM
ejpam-3673	426	17	345	345	NUM
ejpam-3673	426	18	341	341	NUM
ejpam-3673	426	19	ku	ku	NOUN
ejpam-3673	426	20	(	(	PUNCT
ejpam-3673	426	21	r	r	NOUN
ejpam-3673	426	22	)	)	PUNCT
ejpam-3673	426	23	,	,	PUNCT
ejpam-3673	426	24	i.e.	i.e.	X
ejpam-3673	426	25	β	β	X
ejpam-3673	426	26	(	(	PUNCT
ejpam-3673	426	27	f)σ	f)σ	NOUN
ejpam-3673	426	28	=	=	SYM
ejpam-3673	426	29	h	h	NOUN
ejpam-3673	426	30	,	,	PUNCT
ejpam-3673	426	31	hτ	hτ	ADV
ejpam-3673	426	32	=	=	SYM
ejpam-3673	426	33	β	β	X
ejpam-3673	426	34	(	(	PUNCT
ejpam-3673	426	35	f	f	PROPN
ejpam-3673	426	36	)	)	PUNCT
ejpam-3673	426	37	,	,	PUNCT
ejpam-3673	426	38	σg	σg	NOUN
ejpam-3673	426	39	=	=	SYM
ejpam-3673	426	40	α	α	PROPN
ejpam-3673	426	41	(	(	PUNCT
ejpam-3673	426	42	f	f	NOUN
ejpam-3673	426	43	)	)	PUNCT
ejpam-3673	426	44	and	and	CCONJ
ejpam-3673	426	45	τα	τα	NUM
ejpam-3673	426	46	(	(	PUNCT
ejpam-3673	426	47	f	f	X
ejpam-3673	426	48	)	)	PUNCT
ejpam-3673	426	49	=	=	SYM
ejpam-3673	426	50	g	g	NOUN
ejpam-3673	426	51	,	,	PUNCT
ejpam-3673	426	52	up	up	ADP
ejpam-3673	426	53	to	to	PART
ejpam-3673	426	54	homotopy	homotopy	VERB
ejpam-3673	426	55	.	.	PUNCT
ejpam-3673	427	1	moreover	moreover	ADV
ejpam-3673	427	2	,	,	PUNCT
ejpam-3673	427	3	we	we	PRON
ejpam-3673	427	4	have	have	VERB
ejpam-3673	427	5	to	to	PART
ejpam-3673	427	6	show	show	VERB
ejpam-3673	427	7	that	that	SCONJ
ejpam-3673	427	8	they	they	PRON
ejpam-3673	427	9	are	be	AUX
ejpam-3673	427	10	isomorphisms	isomorphism	NOUN
ejpam-3673	427	11	in	in	ADP
ejpam-3673	427	12	ku	ku	PROPN
ejpam-3673	427	13	(	(	PUNCT
ejpam-3673	427	14	r	r	NOUN
ejpam-3673	427	15	)	)	PUNCT
ejpam-3673	427	16	.	.	PUNCT
ejpam-3673	428	1	set	set	VERB
ejpam-3673	428	2	σn	σn	NOUN
ejpam-3673	428	3	=	=	SYM
ejpam-3673	428	4			ADJ
ejpam-3673	428	5	0	0	NUM
ejpam-3673	428	6	0	0	NUM
ejpam-3673	428	7	1	1	NUM
ejpam-3673	428	8	0	0	NUM
ejpam-3673	428	9	0	0	NUM
ejpam-3673	428	10	0	0	NUM
ejpam-3673	428	11	0	0	NUM
ejpam-3673	428	12	1	1	NUM
ejpam-3673	428	13			NOUN
ejpam-3673	428	14	and	and	CCONJ
ejpam-3673	428	15	τn	τn	ADP
ejpam-3673	428	16	=	=	SYM
ejpam-3673	428	17	(	(	PUNCT
ejpam-3673	428	18	0	0	NUM
ejpam-3673	428	19	1	1	NUM
ejpam-3673	428	20	un−1	un−1	ADJ
ejpam-3673	428	21	0	0	NUM
ejpam-3673	428	22	0	0	NUM
ejpam-3673	428	23	0	0	NUM
ejpam-3673	428	24	0	0	NUM
ejpam-3673	428	25	1	1	NUM
ejpam-3673	428	26	)	)	PUNCT
ejpam-3673	428	27	(	(	PUNCT
ejpam-3673	428	28	94	94	X
ejpam-3673	428	29	)	)	PUNCT
ejpam-3673	428	30	look	look	VERB
ejpam-3673	428	31	at	at	ADP
ejpam-3673	428	32	the	the	DET
ejpam-3673	428	33	following	follow	VERB
ejpam-3673	428	34	diagram	diagram	NOUN
ejpam-3673	428	35	m(u	m(u	PROPN
ejpam-3673	428	36	)	)	PUNCT
ejpam-3673	428	37	m(vu	m(vu	NOUN
ejpam-3673	428	38	)	)	PUNCT
ejpam-3673	428	39	m(u	m(u	PROPN
ejpam-3673	428	40	)	)	PUNCT
ejpam-3673	428	41	σm(u	σm(u	PUNCT
ejpam-3673	428	42	)	)	PUNCT
ejpam-3673	428	43	m(u	m(u	NOUN
ejpam-3673	428	44	)	)	PUNCT
ejpam-3673	428	45	m(vu	m(vu	NOUN
ejpam-3673	428	46	)	)	PUNCT
ejpam-3673	428	47	m(f	m(f	PROPN
ejpam-3673	428	48	)	)	PUNCT
ejpam-3673	428	49	σm(u	σm(u	PUNCT
ejpam-3673	428	50	)	)	PUNCT
ejpam-3673	429	1	f	f	PROPN
ejpam-3673	429	2	g	g	PROPN
ejpam-3673	429	3	h	h	PROPN
ejpam-3673	429	4	σ	σ	PROPN
ejpam-3673	429	5	f	f	PROPN
ejpam-3673	429	6	α(f	α(f	PROPN
ejpam-3673	429	7	)	)	PUNCT
ejpam-3673	429	8	β(f	β(f	NUM
ejpam-3673	429	9	)	)	PUNCT
ejpam-3673	429	10	τ	τ	PROPN
ejpam-3673	429	11	(	(	PUNCT
ejpam-3673	429	12	95	95	NUM
ejpam-3673	429	13	)	)	PUNCT
ejpam-3673	429	14	by	by	ADP
ejpam-3673	429	15	definition	definition	NOUN
ejpam-3673	429	16	we	we	PRON
ejpam-3673	429	17	can	can	AUX
ejpam-3673	429	18	check	check	VERB
ejpam-3673	429	19	that	that	DET
ejpam-3673	429	20	σn	σn	NOUN
ejpam-3673	429	21	(	(	PUNCT
ejpam-3673	429	22	u	u	NOUN
ejpam-3673	429	23	m(v	m(v	PROPN
ejpam-3673	429	24	)	)	PUNCT
ejpam-3673	429	25	n	n	CCONJ
ejpam-3673	429	26	)	)	PUNCT
ejpam-3673	429	27	⊆	⊆	NUM
ejpam-3673	429	28	u	u	PRON
ejpam-3673	429	29	m(f	m(f	PROPN
ejpam-3673	429	30	)	)	PUNCT
ejpam-3673	429	31	n	n	PROPN
ejpam-3673	429	32	and	and	CCONJ
ejpam-3673	429	33	τn	τn	ADP
ejpam-3673	429	34	(	(	PUNCT
ejpam-3673	429	35	u	u	PROPN
ejpam-3673	429	36	m(f	m(f	PROPN
ejpam-3673	429	37	)	)	PUNCT
ejpam-3673	429	38	n	n	CCONJ
ejpam-3673	429	39	)	)	PUNCT
ejpam-3673	430	1	⊆	⊆	NUM
ejpam-3673	430	2	u	u	NOUN
ejpam-3673	430	3	m(v	m(v	NOUN
ejpam-3673	430	4	)	)	PUNCT
ejpam-3673	430	5	n	n	CCONJ
ejpam-3673	430	6	.	.	PUNCT
ejpam-3673	431	1	moreover	moreover	ADV
ejpam-3673	431	2	τnα	τnα	VERB
ejpam-3673	431	3	(	(	PUNCT
ejpam-3673	431	4	f)n	f)n	NOUN
ejpam-3673	431	5	−	−	PROPN
ejpam-3673	432	1	gn	gn	INTJ
ejpam-3673	433	1	=	=	PUNCT
ejpam-3673	434	1	(	(	PUNCT
ejpam-3673	434	2	0	0	NUM
ejpam-3673	434	3	1	1	NUM
ejpam-3673	434	4	un−1	un−1	ADJ
ejpam-3673	434	5	0	0	NUM
ejpam-3673	434	6	0	0	NUM
ejpam-3673	434	7	0	0	NUM
ejpam-3673	434	8	0	0	NUM
ejpam-3673	434	9	1	1	NUM
ejpam-3673	434	10	)	)	PUNCT
ejpam-3673	434	11			NOUN
ejpam-3673	434	12	0	0	NUM
ejpam-3673	434	13	0	0	NUM
ejpam-3673	434	14	0	0	NUM
ejpam-3673	434	15	0	0	NUM
ejpam-3673	434	16	1	1	NUM
ejpam-3673	434	17	0	0	NUM
ejpam-3673	434	18	0	0	NUM
ejpam-3673	434	19	1	1	NUM
ejpam-3673	434	20	−	−	NOUN
ejpam-3673	434	21	(	(	PUNCT
ejpam-3673	434	22	un−1	un−1	PROPN
ejpam-3673	434	23	0	0	NUM
ejpam-3673	434	24	0	0	NUM
ejpam-3673	434	25	1	1	NUM
ejpam-3673	434	26	)	)	PUNCT
ejpam-3673	434	27	=	=	SYM
ejpam-3673	434	28	(	(	PUNCT
ejpam-3673	434	29	0	0	NUM
ejpam-3673	434	30	0	0	NUM
ejpam-3673	434	31	0	0	NUM
ejpam-3673	434	32	0	0	NUM
ejpam-3673	434	33	)	)	PUNCT
ejpam-3673	434	34	(	(	PUNCT
ejpam-3673	434	35	96	96	NUM
ejpam-3673	434	36	)	)	PUNCT
ejpam-3673	434	37	and	and	CCONJ
ejpam-3673	434	38	β	β	X
ejpam-3673	434	39	(	(	PUNCT
ejpam-3673	434	40	f)n	f)n	NOUN
ejpam-3673	434	41	σn	σn	NOUN
ejpam-3673	434	42	−	−	PROPN
ejpam-3673	435	1	hn	hn	NOUN
ejpam-3673	436	1	=	=	PUNCT
ejpam-3673	437	1	(	(	PUNCT
ejpam-3673	437	2	1	1	NUM
ejpam-3673	437	3	0	0	NUM
ejpam-3673	437	4	0	0	NUM
ejpam-3673	437	5	0	0	NUM
ejpam-3673	437	6	0	0	NUM
ejpam-3673	437	7	1	1	NUM
ejpam-3673	437	8	0	0	NUM
ejpam-3673	437	9	0	0	NUM
ejpam-3673	437	10	)	)	PUNCT
ejpam-3673	437	11			NOUN
ejpam-3673	437	12	0	0	NUM
ejpam-3673	437	13	0	0	NUM
ejpam-3673	437	14	1	1	NUM
ejpam-3673	437	15	0	0	NUM
ejpam-3673	437	16	0	0	NUM
ejpam-3673	437	17	0	0	NUM
ejpam-3673	437	18	0	0	NUM
ejpam-3673	437	19	1	1	NUM
ejpam-3673	437	20	−	−	NOUN
ejpam-3673	437	21	(	(	PUNCT
ejpam-3673	437	22	0	0	NUM
ejpam-3673	437	23	0	0	NUM
ejpam-3673	437	24	1	1	NUM
ejpam-3673	437	25	0	0	NUM
ejpam-3673	437	26	)	)	PUNCT
ejpam-3673	437	27	=	=	PUNCT
ejpam-3673	438	1	(	(	PUNCT
ejpam-3673	438	2	0	0	NUM
ejpam-3673	438	3	0	0	NUM
ejpam-3673	438	4	0	0	NUM
ejpam-3673	438	5	0	0	NUM
ejpam-3673	438	6	)	)	PUNCT
ejpam-3673	438	7	thus	thus	ADV
ejpam-3673	438	8	τα	τα	PRON
ejpam-3673	438	9	(	(	PUNCT
ejpam-3673	438	10	f	f	X
ejpam-3673	438	11	)	)	PUNCT
ejpam-3673	438	12	=	=	SYM
ejpam-3673	438	13	g	g	PROPN
ejpam-3673	438	14	and	and	CCONJ
ejpam-3673	438	15	β	β	X
ejpam-3673	438	16	(	(	PUNCT
ejpam-3673	438	17	f)σ	f)σ	NOUN
ejpam-3673	438	18	=	=	PUNCT
ejpam-3673	438	19	h.	h.	PROPN
ejpam-3673	438	20	next	next	ADV
ejpam-3673	438	21	we	we	PRON
ejpam-3673	438	22	will	will	AUX
ejpam-3673	438	23	show	show	VERB
ejpam-3673	438	24	that	that	SCONJ
ejpam-3673	438	25	α	α	PROPN
ejpam-3673	438	26	(	(	PUNCT
ejpam-3673	438	27	f	f	X
ejpam-3673	438	28	)	)	PUNCT
ejpam-3673	438	29	∼	∼	NOUN
ejpam-3673	438	30	σg	σg	NOUN
ejpam-3673	438	31	.	.	PUNCT
ejpam-3673	439	1	consider	consider	VERB
ejpam-3673	439	2	the	the	DET
ejpam-3673	439	3	following	follow	VERB
ejpam-3673	439	4	diagram	diagram	NOUN
ejpam-3673	439	5	.	.	PUNCT
ejpam-3673	440	1	xn	xn	PROPN
ejpam-3673	441	1	⊕	⊕	PROPN
ejpam-3673	441	2	zn+1	zn+1	PROPN
ejpam-3673	441	3	xn−1	xn−1	PROPN
ejpam-3673	441	4	⊕	⊕	PROPN
ejpam-3673	441	5	zn	zn	PROPN
ejpam-3673	441	6	xn−2	xn−2	PROPN
ejpam-3673	441	7	⊕	⊕	PROPN
ejpam-3673	441	8	zn−1	zn−1	PROPN
ejpam-3673	441	9	xn−1	xn−1	PROPN
ejpam-3673	441	10	⊕	⊕	PROPN
ejpam-3673	441	11	yn	yn	INTJ
ejpam-3673	442	1	⊕xn	⊕xn	PROPN
ejpam-3673	442	2	⊕	⊕	PROPN
ejpam-3673	442	3	zn+1	zn+1	PROPN
ejpam-3673	442	4	xn−2	xn−2	PROPN
ejpam-3673	442	5	⊕	⊕	PROPN
ejpam-3673	442	6	yn−1	yn−1	PROPN
ejpam-3673	442	7	⊕xn−1	⊕xn−1	PROPN
ejpam-3673	442	8	⊕	⊕	PROPN
ejpam-3673	442	9	zn	zn	PROPN
ejpam-3673	442	10	xn−3	xn−3	PROPN
ejpam-3673	442	11	⊕	⊕	PROPN
ejpam-3673	443	1	yn−2	yn−2	PROPN
ejpam-3673	443	2	⊕xn−2	⊕xn−2	PROPN
ejpam-3673	443	3	⊕	⊕	PROPN
ejpam-3673	443	4	zn−1	zn−1	PROPN
ejpam-3673	443	5	d	d	ADP
ejpam-3673	443	6	m(vu	m(vu	NOUN
ejpam-3673	443	7	)	)	PUNCT
ejpam-3673	443	8	n+1	n+1	PROPN
ejpam-3673	443	9	d	d	NOUN
ejpam-3673	443	10	m(vu	m(vu	NOUN
ejpam-3673	443	11	)	)	PUNCT
ejpam-3673	443	12	n	n	PRON
ejpam-3673	443	13	α(f))n	α(f))n	PROPN
ejpam-3673	443	14	σngn	σngn	VERB
ejpam-3673	443	15	sn	sn	PROPN
ejpam-3673	443	16	sn−1	sn−1	PROPN
ejpam-3673	443	17	d	d	PROPN
ejpam-3673	443	18	m(f	m(f	PROPN
ejpam-3673	443	19	)	)	PUNCT
ejpam-3673	443	20	n+1	n+1	PROPN
ejpam-3673	443	21	d	d	X
ejpam-3673	443	22	m(f	m(f	PROPN
ejpam-3673	443	23	)	)	PUNCT
ejpam-3673	443	24	n	n	CCONJ
ejpam-3673	443	25	(	(	PUNCT
ejpam-3673	443	26	97	97	NUM
ejpam-3673	443	27	)	)	PUNCT
ejpam-3673	443	28	note	note	NOUN
ejpam-3673	443	29	that	that	SCONJ
ejpam-3673	443	30	dm(vu	dm(vu	PROPN
ejpam-3673	443	31	)	)	PUNCT
ejpam-3673	444	1	n	n	NOUN
ejpam-3673	444	2	=	=	PRON
ejpam-3673	444	3	(	(	PUNCT
ejpam-3673	444	4	−dxn−1	−dxn−1	ADJ
ejpam-3673	444	5	0	0	PUNCT
ejpam-3673	444	6	(	(	PUNCT
ejpam-3673	444	7	vu)n−1	vu)n−1	NOUN
ejpam-3673	444	8	dzn	dzn	NOUN
ejpam-3673	444	9	)	)	PUNCT
ejpam-3673	444	10	(	(	PUNCT
ejpam-3673	444	11	98	98	NUM
ejpam-3673	444	12	)	)	PUNCT
ejpam-3673	444	13	dm(f	dm(f	NOUN
ejpam-3673	444	14	)	)	PUNCT
ejpam-3673	444	15	n	n	NOUN
ejpam-3673	444	16	=	=	NUM
ejpam-3673	444	17			PROPN
ejpam-3673	445	1	dxn−2	dxn−2	NOUN
ejpam-3673	445	2	0	0	NUM
ejpam-3673	445	3	0	0	NUM
ejpam-3673	445	4	0	0	NUM
ejpam-3673	445	5	−un−2	−un−2	NUM
ejpam-3673	445	6	−dyn−1	−dyn−1	NOUN
ejpam-3673	445	7	0	0	NUM
ejpam-3673	445	8	0	0	NUM
ejpam-3673	445	9	1	1	NUM
ejpam-3673	445	10	0	0	NUM
ejpam-3673	445	11	−dxn−1	−dxn−1	ADJ
ejpam-3673	445	12	0	0	NUM
ejpam-3673	445	13	0	0	NUM
ejpam-3673	445	14	vn−1	vn−1	ADJ
ejpam-3673	445	15	(	(	PUNCT
ejpam-3673	445	16	vu)n−1	vu)n−1	ADP
ejpam-3673	445	17	dzn	dzn	NOUN
ejpam-3673	445	18			NOUN
ejpam-3673	445	19	(	(	PUNCT
ejpam-3673	445	20	99	99	NUM
ejpam-3673	445	21	)	)	PUNCT
ejpam-3673	445	22	g.	g.	PROPN
ejpam-3673	445	23	elfiyanti	elfiyanti	PROPN
ejpam-3673	445	24	et	et	PROPN
ejpam-3673	445	25	al	al	PROPN
ejpam-3673	445	26	.	.	PUNCT
ejpam-3673	445	27	/	/	SYM
ejpam-3673	445	28	eur	eur	PROPN
ejpam-3673	445	29	.	.	PUNCT
ejpam-3673	446	1	j.	j.	PROPN
ejpam-3673	446	2	pure	pure	PROPN
ejpam-3673	446	3	appl	appl	PROPN
ejpam-3673	446	4	.	.	PROPN
ejpam-3673	446	5	math	math	PROPN
ejpam-3673	446	6	,	,	PUNCT
ejpam-3673	446	7	13	13	NUM
ejpam-3673	446	8	(	(	PUNCT
ejpam-3673	446	9	2	2	NUM
ejpam-3673	446	10	)	)	PUNCT
ejpam-3673	446	11	(	(	PUNCT
ejpam-3673	446	12	2020	2020	NUM
ejpam-3673	446	13	)	)	PUNCT
ejpam-3673	446	14	,	,	PUNCT
ejpam-3673	446	15	323	323	NUM
ejpam-3673	446	16	-	-	SYM
ejpam-3673	446	17	345	345	NUM
ejpam-3673	446	18	342	342	NUM
ejpam-3673	446	19	define	define	NOUN
ejpam-3673	446	20	rn	rn	PROPN
ejpam-3673	446	21	:	:	PUNCT
ejpam-3673	446	22	m	m	PROPN
ejpam-3673	446	23	(	(	PUNCT
ejpam-3673	446	24	vu)n	vu)n	PROPN
ejpam-3673	446	25	→m	→m	PROPN
ejpam-3673	446	26	(	(	PUNCT
ejpam-3673	446	27	f)n+1	f)n+1	NOUN
ejpam-3673	446	28	by	by	ADP
ejpam-3673	446	29	rn	rn	PROPN
ejpam-3673	446	30	=	=	PUNCT
ejpam-3673	446	31			ADJ
ejpam-3673	446	32	1	1	NUM
ejpam-3673	446	33	0	0	NUM
ejpam-3673	446	34	0	0	NUM
ejpam-3673	446	35	0	0	NUM
ejpam-3673	446	36	0	0	NUM
ejpam-3673	446	37	0	0	NUM
ejpam-3673	446	38	0	0	NUM
ejpam-3673	446	39	0	0	NUM
ejpam-3673	446	40	.	.	NOUN
ejpam-3673	446	41	then	then	ADV
ejpam-3673	446	42	rn	rn	PROPN
ejpam-3673	446	43	(	(	PUNCT
ejpam-3673	446	44	u	u	NOUN
ejpam-3673	446	45	m(vu	m(vu	NOUN
ejpam-3673	446	46	)	)	PUNCT
ejpam-3673	446	47	n	n	CCONJ
ejpam-3673	446	48	)	)	PUNCT
ejpam-3673	446	49	⊆	⊆	NUM
ejpam-3673	446	50	um(f	um(f	NOUN
ejpam-3673	446	51	)	)	PUNCT
ejpam-3673	446	52	n+1	n+1	PROPN
ejpam-3673	447	1	and	and	CCONJ
ejpam-3673	447	2	α	α	PROPN
ejpam-3673	447	3	(	(	PUNCT
ejpam-3673	447	4	f)n	f)n	NOUN
ejpam-3673	447	5	−	−	NOUN
ejpam-3673	447	6	σngn	σngn	NOUN
ejpam-3673	447	7	=	=	PUNCT
ejpam-3673	447	8			ADJ
ejpam-3673	447	9	0	0	NUM
ejpam-3673	447	10	0	0	NUM
ejpam-3673	447	11	0	0	NUM
ejpam-3673	447	12	0	0	NUM
ejpam-3673	447	13	1	1	NUM
ejpam-3673	447	14	0	0	NUM
ejpam-3673	447	15	0	0	NUM
ejpam-3673	447	16	1	1	NUM
ejpam-3673	447	17	−	−	NOUN
ejpam-3673	447	18			NOUN
ejpam-3673	447	19	0	0	NUM
ejpam-3673	447	20	0	0	NUM
ejpam-3673	447	21	1	1	NUM
ejpam-3673	447	22	0	0	NUM
ejpam-3673	447	23	0	0	NUM
ejpam-3673	447	24	0	0	NUM
ejpam-3673	447	25	0	0	NUM
ejpam-3673	447	26	1	1	NUM
ejpam-3673	447	27	(un−1	(un−1	NOUN
ejpam-3673	447	28	0	0	NUM
ejpam-3673	447	29	0	0	NUM
ejpam-3673	447	30	1	1	NUM
ejpam-3673	447	31	)	)	PUNCT
ejpam-3673	447	32	=	=	SYM
ejpam-3673	447	33			ADJ
ejpam-3673	447	34	0	0	NUM
ejpam-3673	447	35	0	0	SYM
ejpam-3673	447	36	−un−1	−un−1	NOUN
ejpam-3673	447	37	0	0	NUM
ejpam-3673	447	38	1	1	NUM
ejpam-3673	447	39	0	0	NUM
ejpam-3673	447	40	0	0	NUM
ejpam-3673	447	41	0	0	NUM
ejpam-3673	447	42			NOUN
ejpam-3673	447	43	=	=	SYM
ejpam-3673	447	44	d	d	X
ejpam-3673	447	45	m(f	m(f	PROPN
ejpam-3673	447	46	)	)	PUNCT
ejpam-3673	447	47	n+1	n+1	PROPN
ejpam-3673	448	1	rn	rn	PROPN
ejpam-3673	448	2	+	+	CCONJ
ejpam-3673	448	3	rn−1d	rn−1d	NOUN
ejpam-3673	448	4	m(vu	m(vu	NOUN
ejpam-3673	448	5	)	)	PUNCT
ejpam-3673	448	6	n	n	CCONJ
ejpam-3673	448	7	(	(	PUNCT
ejpam-3673	448	8	100	100	NUM
ejpam-3673	448	9	)	)	PUNCT
ejpam-3673	448	10	therefore	therefore	ADV
ejpam-3673	448	11	we	we	PRON
ejpam-3673	448	12	obtain	obtain	VERB
ejpam-3673	448	13	α	α	PRON
ejpam-3673	448	14	(	(	PUNCT
ejpam-3673	448	15	f	f	X
ejpam-3673	448	16	)	)	PUNCT
ejpam-3673	448	17	∼	∼	NOUN
ejpam-3673	448	18	σg	σg	NOUN
ejpam-3673	448	19	.	.	PUNCT
ejpam-3673	449	1	now	now	ADV
ejpam-3673	449	2	we	we	PRON
ejpam-3673	449	3	will	will	AUX
ejpam-3673	449	4	show	show	VERB
ejpam-3673	449	5	that	that	SCONJ
ejpam-3673	449	6	β	β	X
ejpam-3673	449	7	(	(	PUNCT
ejpam-3673	449	8	f	f	X
ejpam-3673	449	9	)	)	PUNCT
ejpam-3673	449	10	∼	∼	NOUN
ejpam-3673	449	11	hτ	hτ	ADV
ejpam-3673	449	12	.	.	PUNCT
ejpam-3673	450	1	look	look	VERB
ejpam-3673	450	2	at	at	ADP
ejpam-3673	450	3	the	the	DET
ejpam-3673	450	4	following	following	ADJ
ejpam-3673	450	5	diagram	diagram	NOUN
ejpam-3673	450	6	xn−1	xn−1	PROPN
ejpam-3673	450	7	⊕	⊕	PROPN
ejpam-3673	450	8	yn	yn	PROPN
ejpam-3673	450	9	⊕xn	⊕xn	PROPN
ejpam-3673	450	10	⊕	⊕	PROPN
ejpam-3673	450	11	zn+1	zn+1	PROPN
ejpam-3673	450	12	xn−2	xn−2	PROPN
ejpam-3673	450	13	⊕	⊕	PROPN
ejpam-3673	450	14	yn−1	yn−1	PROPN
ejpam-3673	450	15	⊕xn−1	⊕xn−1	PROPN
ejpam-3673	450	16	⊕	⊕	PROPN
ejpam-3673	450	17	zn	zn	PROPN
ejpam-3673	450	18	xn−3	xn−3	PROPN
ejpam-3673	450	19	⊕	⊕	PROPN
ejpam-3673	451	1	yn−2	yn−2	PROPN
ejpam-3673	451	2	⊕xn−2	⊕xn−2	PROPN
ejpam-3673	451	3	⊕	⊕	PROPN
ejpam-3673	451	4	zn−1	zn−1	PROPN
ejpam-3673	452	1	xn−1	xn−1	PROPN
ejpam-3673	452	2	⊕	⊕	PROPN
ejpam-3673	452	3	yn	yn	PROPN
ejpam-3673	453	1	xn−2	xn−2	PROPN
ejpam-3673	453	2	⊕	⊕	PROPN
ejpam-3673	453	3	yn−1	yn−1	PROPN
ejpam-3673	453	4	xn−3	xn−3	PROPN
ejpam-3673	453	5	⊕	⊕	PROPN
ejpam-3673	454	1	yn−2	yn−2	PROPN
ejpam-3673	454	2	d	d	PROPN
ejpam-3673	454	3	m(f	m(f	PROPN
ejpam-3673	454	4	)	)	PUNCT
ejpam-3673	455	1	n+1	n+1	PROPN
ejpam-3673	455	2	d	d	X
ejpam-3673	455	3	m(f	m(f	PROPN
ejpam-3673	455	4	)	)	PUNCT
ejpam-3673	456	1	n	n	NOUN
ejpam-3673	456	2	βfn	βfn	NOUN
ejpam-3673	456	3	hnτn	hnτn	NOUN
ejpam-3673	456	4	sn	sn	INTJ
ejpam-3673	456	5	sn−1	sn−1	PROPN
ejpam-3673	456	6	d	d	PROPN
ejpam-3673	456	7	σm(u	σm(u	PUNCT
ejpam-3673	456	8	)	)	PUNCT
ejpam-3673	456	9	n+1	n+1	PROPN
ejpam-3673	456	10	d	d	NOUN
ejpam-3673	456	11	σm(u	σm(u	NUM
ejpam-3673	456	12	)	)	PUNCT
ejpam-3673	456	13	n	n	CCONJ
ejpam-3673	456	14	(	(	PUNCT
ejpam-3673	456	15	101	101	NUM
ejpam-3673	456	16	)	)	PUNCT
ejpam-3673	456	17	with	with	ADP
ejpam-3673	456	18	dσm(u	dσm(u	PROPN
ejpam-3673	456	19	)	)	PUNCT
ejpam-3673	456	20	n	n	NOUN
ejpam-3673	456	21	=	=	PUNCT
ejpam-3673	456	22	(	(	PUNCT
ejpam-3673	456	23	−dxn−2	−dxn−2	PROPN
ejpam-3673	456	24	0	0	NUM
ejpam-3673	456	25	un−2	un−2	VERB
ejpam-3673	456	26	dyn−1	dyn−1	PROPN
ejpam-3673	456	27	)	)	PUNCT
ejpam-3673	456	28	(	(	PUNCT
ejpam-3673	456	29	102	102	NUM
ejpam-3673	456	30	)	)	PUNCT
ejpam-3673	456	31	let	let	VERB
ejpam-3673	456	32	sn	sn	PROPN
ejpam-3673	456	33	=	=	PUNCT
ejpam-3673	457	1	(	(	PUNCT
ejpam-3673	457	2	0	0	NUM
ejpam-3673	457	3	0	0	NUM
ejpam-3673	457	4	−1	−1	NOUN
ejpam-3673	457	5	0	0	NUM
ejpam-3673	457	6	0	0	NUM
ejpam-3673	457	7	0	0	NUM
ejpam-3673	457	8	0	0	NUM
ejpam-3673	457	9	0	0	NUM
ejpam-3673	457	10	)	)	PUNCT
ejpam-3673	457	11	then	then	ADV
ejpam-3673	457	12	it	it	PRON
ejpam-3673	457	13	is	be	AUX
ejpam-3673	457	14	clear	clear	ADJ
ejpam-3673	457	15	that	that	SCONJ
ejpam-3673	458	1	sn	sn	PROPN
ejpam-3673	458	2	(	(	PUNCT
ejpam-3673	458	3	u	u	PROPN
ejpam-3673	458	4	m(f	m(f	PROPN
ejpam-3673	458	5	)	)	PUNCT
ejpam-3673	458	6	n	n	CCONJ
ejpam-3673	458	7	)	)	PUNCT
ejpam-3673	458	8	⊆	⊆	NUM
ejpam-3673	458	9	uσm(u	uσm(u	PROPN
ejpam-3673	458	10	)	)	PUNCT
ejpam-3673	458	11	n+1	n+1	PROPN
ejpam-3673	458	12	and	and	CCONJ
ejpam-3673	458	13	β	β	X
ejpam-3673	458	14	(	(	PUNCT
ejpam-3673	458	15	f)n	f)n	NOUN
ejpam-3673	458	16	−	−	NUM
ejpam-3673	458	17	hnτn	hnτn	NOUN
ejpam-3673	458	18	=	=	SYM
ejpam-3673	458	19	(	(	PUNCT
ejpam-3673	458	20	1	1	NUM
ejpam-3673	458	21	0	0	NUM
ejpam-3673	458	22	0	0	NUM
ejpam-3673	458	23	0	0	NUM
ejpam-3673	458	24	0	0	NUM
ejpam-3673	458	25	1	1	NUM
ejpam-3673	458	26	0	0	NUM
ejpam-3673	458	27	0	0	NUM
ejpam-3673	458	28	)	)	PUNCT
ejpam-3673	458	29	−	−	PROPN
ejpam-3673	459	1	(	(	PUNCT
ejpam-3673	459	2	0	0	NUM
ejpam-3673	459	3	0	0	NUM
ejpam-3673	459	4	1	1	NUM
ejpam-3673	459	5	0	0	NUM
ejpam-3673	459	6	)	)	PUNCT
ejpam-3673	459	7	(	(	PUNCT
ejpam-3673	459	8	0	0	NUM
ejpam-3673	459	9	1	1	NUM
ejpam-3673	459	10	un−1	un−1	ADJ
ejpam-3673	459	11	0	0	NUM
ejpam-3673	459	12	0	0	NUM
ejpam-3673	459	13	0	0	NUM
ejpam-3673	459	14	0	0	NUM
ejpam-3673	459	15	1	1	NUM
ejpam-3673	459	16	)	)	PUNCT
ejpam-3673	460	1	=	=	PUNCT
ejpam-3673	460	2	(	(	PUNCT
ejpam-3673	460	3	1	1	NUM
ejpam-3673	460	4	0	0	NUM
ejpam-3673	460	5	0	0	NUM
ejpam-3673	460	6	0	0	NUM
ejpam-3673	460	7	0	0	NUM
ejpam-3673	460	8	0	0	NUM
ejpam-3673	460	9	−un−1	−un−1	NOUN
ejpam-3673	460	10	0	0	NUM
ejpam-3673	460	11	)	)	PUNCT
ejpam-3673	461	1	=	=	SYM
ejpam-3673	461	2	d	d	NOUN
ejpam-3673	461	3	σm(u	σm(u	PUNCT
ejpam-3673	461	4	)	)	PUNCT
ejpam-3673	461	5	n+1	n+1	PROPN
ejpam-3673	461	6	sn	sn	PROPN
ejpam-3673	461	7	+	+	CCONJ
ejpam-3673	461	8	sn−1d	sn−1d	NOUN
ejpam-3673	461	9	m(f	m(f	PROPN
ejpam-3673	461	10	)	)	PUNCT
ejpam-3673	461	11	n	n	CCONJ
ejpam-3673	461	12	(	(	PUNCT
ejpam-3673	461	13	103	103	NUM
ejpam-3673	461	14	)	)	PUNCT
ejpam-3673	461	15	hence	hence	ADV
ejpam-3673	461	16	we	we	PRON
ejpam-3673	461	17	have	have	VERB
ejpam-3673	461	18	β	β	X
ejpam-3673	461	19	(	(	PUNCT
ejpam-3673	461	20	f	f	X
ejpam-3673	461	21	)	)	PUNCT
ejpam-3673	461	22	∼	∼	NOUN
ejpam-3673	461	23	hτ	hτ	ADV
ejpam-3673	461	24	.	.	PUNCT
ejpam-3673	462	1	last	last	ADV
ejpam-3673	462	2	we	we	PRON
ejpam-3673	462	3	will	will	AUX
ejpam-3673	462	4	show	show	VERB
ejpam-3673	462	5	that	that	SCONJ
ejpam-3673	462	6	τ	τ	PROPN
ejpam-3673	462	7	and	and	CCONJ
ejpam-3673	462	8	σ	σ	PROPN
ejpam-3673	462	9	are	be	AUX
ejpam-3673	462	10	isomorphisms	isomorphism	NOUN
ejpam-3673	462	11	in	in	ADP
ejpam-3673	462	12	the	the	DET
ejpam-3673	462	13	homotopy	homotopy	NOUN
ejpam-3673	462	14	category	category	NOUN
ejpam-3673	462	15	ku	ku	PROPN
ejpam-3673	462	16	(	(	PUNCT
ejpam-3673	462	17	r	r	NOUN
ejpam-3673	462	18	)	)	PUNCT
ejpam-3673	462	19	.	.	PUNCT
ejpam-3673	463	1	note	note	VERB
ejpam-3673	463	2	that	that	SCONJ
ejpam-3673	463	3	τnσn	τnσn	PRON
ejpam-3673	463	4	−	−	NOUN
ejpam-3673	463	5	1	1	NUM
ejpam-3673	463	6	=	=	SYM
ejpam-3673	463	7	(	(	PUNCT
ejpam-3673	463	8	0	0	NUM
ejpam-3673	463	9	0	0	NUM
ejpam-3673	463	10	0	0	NUM
ejpam-3673	463	11	0	0	NUM
ejpam-3673	463	12	)	)	PUNCT
ejpam-3673	463	13	(	(	PUNCT
ejpam-3673	463	14	104	104	X
ejpam-3673	463	15	)	)	PUNCT
ejpam-3673	463	16	let	let	VERB
ejpam-3673	463	17	tn	tn	NOUN
ejpam-3673	463	18	:	:	PUNCT
ejpam-3673	463	19	m	m	VERB
ejpam-3673	463	20	(	(	PUNCT
ejpam-3673	463	21	f)n	f)n	NOUN
ejpam-3673	463	22	−→m	−→m	X
ejpam-3673	463	23	(	(	PUNCT
ejpam-3673	463	24	f)n+1	f)n+1	NOUN
ejpam-3673	463	25	defined	define	VERB
ejpam-3673	463	26	by	by	ADP
ejpam-3673	463	27	tn	tn	NOUN
ejpam-3673	463	28	=	=	SYM
ejpam-3673	463	29			ADJ
ejpam-3673	463	30	0	0	NUM
ejpam-3673	463	31	0	0	NUM
ejpam-3673	463	32	−1	−1	NOUN
ejpam-3673	463	33	0	0	NUM
ejpam-3673	463	34	0	0	NUM
ejpam-3673	463	35	0	0	NUM
ejpam-3673	463	36	0	0	NUM
ejpam-3673	463	37	0	0	NUM
ejpam-3673	463	38	0	0	NUM
ejpam-3673	463	39	0	0	NUM
ejpam-3673	463	40	0	0	NUM
ejpam-3673	463	41	0	0	NUM
ejpam-3673	463	42	0	0	NUM
ejpam-3673	463	43	0	0	NUM
ejpam-3673	463	44	0	0	NUM
ejpam-3673	463	45	0	0	NUM
ejpam-3673	463	46			NOUN
ejpam-3673	463	47	(	(	PUNCT
ejpam-3673	463	48	105	105	NUM
ejpam-3673	463	49	)	)	PUNCT
ejpam-3673	463	50	references	reference	NOUN
ejpam-3673	463	51	343	343	NUM
ejpam-3673	464	1	then	then	ADV
ejpam-3673	464	2	it	it	PRON
ejpam-3673	464	3	is	be	AUX
ejpam-3673	464	4	clear	clear	ADJ
ejpam-3673	464	5	that	that	SCONJ
ejpam-3673	464	6	tn	tn	PROPN
ejpam-3673	464	7	(	(	PUNCT
ejpam-3673	464	8	u	u	PROPN
ejpam-3673	464	9	m(f	m(f	PROPN
ejpam-3673	464	10	)	)	PUNCT
ejpam-3673	464	11	n	n	CCONJ
ejpam-3673	464	12	)	)	PUNCT
ejpam-3673	464	13	⊆	⊆	NUM
ejpam-3673	464	14	um(f	um(f	NOUN
ejpam-3673	464	15	)	)	PUNCT
ejpam-3673	464	16	n+1	n+1	PROPN
ejpam-3673	464	17	and	and	CCONJ
ejpam-3673	464	18	σnτn	σnτn	VERB
ejpam-3673	464	19	−	−	PROPN
ejpam-3673	464	20	1n	1n	NOUN
ejpam-3673	464	21	=	=	SYM
ejpam-3673	464	22			NUM
ejpam-3673	464	23	−1	−1	NOUN
ejpam-3673	464	24	0	0	NUM
ejpam-3673	464	25	0	0	NUM
ejpam-3673	464	26	0	0	NUM
ejpam-3673	464	27	0	0	NUM
ejpam-3673	464	28	0	0	NUM
ejpam-3673	465	1	un−1	un−1	ADJ
ejpam-3673	465	2	0	0	NUM
ejpam-3673	465	3	0	0	NUM
ejpam-3673	465	4	0	0	NUM
ejpam-3673	465	5	−1	−1	NOUN
ejpam-3673	465	6	0	0	NUM
ejpam-3673	465	7	0	0	NUM
ejpam-3673	465	8	0	0	NUM
ejpam-3673	465	9	0	0	NUM
ejpam-3673	465	10	0	0	NUM
ejpam-3673	465	11			NOUN
ejpam-3673	465	12	=	=	SYM
ejpam-3673	465	13	d	d	X
ejpam-3673	465	14	m(f	m(f	PROPN
ejpam-3673	465	15	)	)	PUNCT
ejpam-3673	465	16	n+1	n+1	PROPN
ejpam-3673	465	17	tn	tn	PROPN
ejpam-3673	466	1	+	+	CCONJ
ejpam-3673	466	2	tn−1d	tn−1d	PROPN
ejpam-3673	466	3	m(f	m(f	PROPN
ejpam-3673	466	4	)	)	PUNCT
ejpam-3673	466	5	n	n	CCONJ
ejpam-3673	466	6	thus	thus	ADV
ejpam-3673	466	7	τσ	τσ	ADP
ejpam-3673	466	8	=	=	SYM
ejpam-3673	466	9	1	1	NUM
ejpam-3673	466	10	and	and	CCONJ
ejpam-3673	466	11	στ	στ	PRON
ejpam-3673	466	12	∼	∼	NOUN
ejpam-3673	466	13	1	1	NUM
ejpam-3673	466	14	which	which	PRON
ejpam-3673	466	15	mean	mean	VERB
ejpam-3673	466	16	that	that	SCONJ
ejpam-3673	466	17	σ	σ	PROPN
ejpam-3673	466	18	and	and	CCONJ
ejpam-3673	466	19	τ	τ	PROPN
ejpam-3673	466	20	are	be	AUX
ejpam-3673	466	21	isomorphism	isomorphism	NOUN
ejpam-3673	466	22	of	of	ADP
ejpam-3673	466	23	triangle	triangle	NOUN
ejpam-3673	466	24	in	in	ADP
ejpam-3673	466	25	ku	ku	PROPN
ejpam-3673	466	26	(	(	PUNCT
ejpam-3673	466	27	r	r	NOUN
ejpam-3673	466	28	)	)	PUNCT
ejpam-3673	466	29	.	.	PUNCT
ejpam-3673	467	1	hence	hence	ADV
ejpam-3673	467	2	,	,	PUNCT
ejpam-3673	467	3	m(u	m(u	PROPN
ejpam-3673	467	4	)	)	PUNCT
ejpam-3673	467	5	m(vu	m(vu	NOUN
ejpam-3673	467	6	)	)	PUNCT
ejpam-3673	467	7	m(v	m(v	NOUN
ejpam-3673	467	8	)	)	PUNCT
ejpam-3673	467	9	σm(u	σm(u	PUNCT
ejpam-3673	467	10	)	)	PUNCT
ejpam-3673	468	1	f	f	PROPN
ejpam-3673	469	1	g	g	PROPN
ejpam-3673	469	2	h	h	NOUN
ejpam-3673	469	3	is	be	AUX
ejpam-3673	469	4	a	a	DET
ejpam-3673	469	5	distinguished	distinguished	ADJ
ejpam-3673	469	6	triangle	triangle	NOUN
ejpam-3673	469	7	in	in	ADP
ejpam-3673	469	8	ku	ku	PROPN
ejpam-3673	469	9	(	(	PUNCT
ejpam-3673	469	10	r	r	NOUN
ejpam-3673	469	11	)	)	PUNCT
ejpam-3673	469	12	and	and	CCONJ
ejpam-3673	469	13	we	we	PRON
ejpam-3673	469	14	have	have	AUX
ejpam-3673	469	15	proved	prove	VERB
ejpam-3673	469	16	the	the	DET
ejpam-3673	469	17	octahedral	octahedral	ADJ
ejpam-3673	469	18	axiom	axiom	NOUN
ejpam-3673	469	19	for	for	ADP
ejpam-3673	469	20	ku	ku	PROPN
ejpam-3673	469	21	(	(	PUNCT
ejpam-3673	469	22	r	r	NOUN
ejpam-3673	469	23	)	)	PUNCT
ejpam-3673	469	24	.	.	PUNCT
ejpam-3673	470	1	5	5	X
ejpam-3673	470	2	.	.	X
ejpam-3673	470	3	conclusion	conclusion	NOUN
ejpam-3673	470	4	category	category	NOUN
ejpam-3673	470	5	of	of	ADP
ejpam-3673	470	6	u	u	PROPN
ejpam-3673	470	7	-complexes	-complexe	NOUN
ejpam-3673	470	8	is	be	AUX
ejpam-3673	470	9	a	a	DET
ejpam-3673	470	10	generalization	generalization	NOUN
ejpam-3673	470	11	of	of	ADP
ejpam-3673	470	12	category	category	NOUN
ejpam-3673	470	13	of	of	ADP
ejpam-3673	470	14	complexes	complex	NOUN
ejpam-3673	470	15	defined	define	VERB
ejpam-3673	470	16	by	by	ADP
ejpam-3673	470	17	replacing	replace	VERB
ejpam-3673	470	18	the	the	DET
ejpam-3673	470	19	objects	object	NOUN
ejpam-3673	470	20	with	with	ADP
ejpam-3673	470	21	chain	chain	NOUN
ejpam-3673	470	22	u	u	NOUN
ejpam-3673	470	23	-	-	NOUN
ejpam-3673	470	24	complexes	complex	NOUN
ejpam-3673	470	25	and	and	CCONJ
ejpam-3673	470	26	the	the	DET
ejpam-3673	470	27	morphisms	morphism	NOUN
ejpam-3673	470	28	with	with	ADP
ejpam-3673	470	29	morphisms	morphism	NOUN
ejpam-3673	470	30	of	of	ADP
ejpam-3673	470	31	u	u	NOUN
ejpam-3673	470	32	-	-	NOUN
ejpam-3673	470	33	complexes	complex	NOUN
ejpam-3673	470	34	.	.	PUNCT
ejpam-3673	471	1	it	it	PRON
ejpam-3673	471	2	is	be	AUX
ejpam-3673	471	3	an	an	DET
ejpam-3673	471	4	additive	additive	ADJ
ejpam-3673	471	5	category	category	NOUN
ejpam-3673	471	6	.	.	PUNCT
ejpam-3673	472	1	the	the	DET
ejpam-3673	472	2	homotopy	homotopy	NOUN
ejpam-3673	472	3	category	category	NOUN
ejpam-3673	472	4	of	of	ADP
ejpam-3673	472	5	u	u	NOUN
ejpam-3673	472	6	-	-	NOUN
ejpam-3673	472	7	complexes	complex	NOUN
ejpam-3673	472	8	is	be	AUX
ejpam-3673	472	9	also	also	ADV
ejpam-3673	472	10	an	an	DET
ejpam-3673	472	11	additive	additive	ADJ
ejpam-3673	472	12	category	category	NOUN
ejpam-3673	472	13	.	.	PUNCT
ejpam-3673	473	1	let	let	VERB
ejpam-3673	473	2	x	x	PUNCT
ejpam-3673	473	3	=	=	PRON
ejpam-3673	473	4	(	(	PUNCT
ejpam-3673	473	5	xn	xn	PROPN
ejpam-3673	473	6	,	,	PUNCT
ejpam-3673	473	7	u	u	NOUN
ejpam-3673	473	8	x	x	NOUN
ejpam-3673	473	9	n	n	PROPN
ejpam-3673	473	10	,	,	PUNCT
ejpam-3673	474	1	d	d	X
ejpam-3673	474	2	x	x	X
ejpam-3673	474	3	n	n	X
ejpam-3673	474	4	)	)	PUNCT
ejpam-3673	474	5	n∈z	n∈z	PRON
ejpam-3673	474	6	be	be	AUX
ejpam-3673	474	7	a	a	DET
ejpam-3673	474	8	chain	chain	NOUN
ejpam-3673	474	9	u	u	NOUN
ejpam-3673	474	10	-complex	-complex	NOUN
ejpam-3673	474	11	,	,	PUNCT
ejpam-3673	474	12	then	then	ADV
ejpam-3673	474	13	dxn	dxn	VERB
ejpam-3673	474	14	(	(	PUNCT
ejpam-3673	474	15	uxn	uxn	ADJ
ejpam-3673	474	16	)	)	PUNCT
ejpam-3673	475	1	⊆	⊆	NUM
ejpam-3673	475	2	uxn−1	uxn−1	PROPN
ejpam-3673	475	3	.	.	PUNCT
ejpam-3673	476	1	we	we	PRON
ejpam-3673	476	2	introduce	introduce	VERB
ejpam-3673	476	3	a	a	DET
ejpam-3673	476	4	weakly	weakly	ADJ
ejpam-3673	476	5	chain	chain	NOUN
ejpam-3673	476	6	u	u	NOUN
ejpam-3673	476	7	-	-	NOUN
ejpam-3673	476	8	complex	complex	ADJ
ejpam-3673	476	9	by	by	ADP
ejpam-3673	476	10	replacing	replace	VERB
ejpam-3673	476	11	the	the	DET
ejpam-3673	476	12	second	second	ADJ
ejpam-3673	476	13	condition	condition	NOUN
ejpam-3673	476	14	of	of	ADP
ejpam-3673	476	15	chain	chain	NOUN
ejpam-3673	476	16	u	u	NOUN
ejpam-3673	476	17	-	-	NOUN
ejpam-3673	476	18	complex	complex	ADJ
ejpam-3673	476	19	with	with	ADP
ejpam-3673	476	20	dxn	dxn	PROPN
ejpam-3673	476	21	(	(	PUNCT
ejpam-3673	476	22	uxn	uxn	ADJ
ejpam-3673	476	23	)	)	PUNCT
ejpam-3673	476	24	⊆	⊆	NUM
ejpam-3673	476	25	uxn−1	uxn−1	PROPN
ejpam-3673	476	26	.	.	PUNCT
ejpam-3673	477	1	the	the	DET
ejpam-3673	477	2	category	category	NOUN
ejpam-3673	477	3	of	of	ADP
ejpam-3673	477	4	weakly	weakly	ADJ
ejpam-3673	477	5	u	u	NOUN
ejpam-3673	477	6	-	-	NOUN
ejpam-3673	477	7	complexes	complex	NOUN
ejpam-3673	477	8	is	be	AUX
ejpam-3673	477	9	again	again	ADV
ejpam-3673	477	10	an	an	DET
ejpam-3673	477	11	additive	additive	ADJ
ejpam-3673	477	12	category	category	NOUN
ejpam-3673	477	13	and	and	CCONJ
ejpam-3673	477	14	its	its	PRON
ejpam-3673	477	15	homotopy	homotopy	NOUN
ejpam-3673	477	16	category	category	NOUN
ejpam-3673	477	17	is	be	AUX
ejpam-3673	477	18	a	a	DET
ejpam-3673	477	19	triangulated	triangulate	VERB
ejpam-3673	477	20	category	category	NOUN
ejpam-3673	477	21	.	.	PUNCT
ejpam-3673	478	1	every	every	DET
ejpam-3673	478	2	chain	chain	NOUN
ejpam-3673	478	3	complex	complex	NOUN
ejpam-3673	478	4	is	be	AUX
ejpam-3673	478	5	a	a	DET
ejpam-3673	478	6	chain	chain	NOUN
ejpam-3673	478	7	u	u	NOUN
ejpam-3673	478	8	-	-	NOUN
ejpam-3673	478	9	complex	complex	ADJ
ejpam-3673	478	10	with	with	ADP
ejpam-3673	478	11	un	un	PROPN
ejpam-3673	478	12	=	=	SYM
ejpam-3673	478	13	0foralln	0foralln	NUM
ejpam-3673	478	14	∈	∈	PROPN
ejpam-3673	478	15	mathbbz	mathbbz	NOUN
ejpam-3673	478	16	.	.	PUNCT
ejpam-3673	479	1	from	from	ADP
ejpam-3673	479	2	the	the	DET
ejpam-3673	479	3	first	first	ADJ
ejpam-3673	479	4	and	and	CCONJ
ejpam-3673	479	5	the	the	DET
ejpam-3673	479	6	second	second	ADJ
ejpam-3673	479	7	condition	condition	NOUN
ejpam-3673	479	8	of	of	ADP
ejpam-3673	479	9	chain	chain	NOUN
ejpam-3673	479	10	u	u	NOUN
ejpam-3673	479	11	-complex	-complex	PROPN
ejpam-3673	479	12	we	we	PRON
ejpam-3673	479	13	know	know	VERB
ejpam-3673	479	14	that	that	SCONJ
ejpam-3673	479	15	chain	chain	NOUN
ejpam-3673	479	16	u	u	NOUN
ejpam-3673	479	17	-complexes	-complexe	NOUN
ejpam-3673	479	18	is	be	AUX
ejpam-3673	479	19	also	also	ADV
ejpam-3673	479	20	a	a	DET
ejpam-3673	479	21	weakly	weakly	ADJ
ejpam-3673	479	22	u	u	NOUN
ejpam-3673	479	23	-	-	NOUN
ejpam-3673	479	24	complexes	complex	NOUN
ejpam-3673	479	25	.	.	PUNCT
ejpam-3673	480	1	acknowledgements	acknowledgement	NOUN
ejpam-3673	480	2	the	the	DET
ejpam-3673	480	3	first	first	ADJ
ejpam-3673	480	4	author	author	NOUN
ejpam-3673	480	5	wish	wish	VERB
ejpam-3673	480	6	to	to	PART
ejpam-3673	480	7	thank	thank	VERB
ejpam-3673	480	8	alexander	alexander	PROPN
ejpam-3673	480	9	zimmermann	zimmermann	PROPN
ejpam-3673	480	10	for	for	ADP
ejpam-3673	480	11	many	many	ADJ
ejpam-3673	480	12	discussions	discussion	NOUN
ejpam-3673	480	13	during	during	ADP
ejpam-3673	480	14	her	her	PRON
ejpam-3673	480	15	visit	visit	NOUN
ejpam-3673	480	16	to	to	ADP
ejpam-3673	480	17	université	université	ADJ
ejpam-3673	480	18	de	de	X
ejpam-3673	480	19	picardie	picardie	PROPN
ejpam-3673	480	20	jules	jules	PROPN
ejpam-3673	480	21	verne	verne	PROPN
ejpam-3673	480	22	,	,	PUNCT
ejpam-3673	480	23	france	france	PROPN
ejpam-3673	480	24	,	,	PUNCT
ejpam-3673	480	25	in	in	ADP
ejpam-3673	480	26	2015	2015	NUM
ejpam-3673	480	27	and	and	CCONJ
ejpam-3673	480	28	2017	2017	NUM
ejpam-3673	480	29	.	.	PUNCT
ejpam-3673	481	1	she	she	PRON
ejpam-3673	481	2	also	also	ADV
ejpam-3673	481	3	thanks	thank	NOUN
ejpam-3673	481	4	lpdp	lpdp	ADJ
ejpam-3673	481	5	for	for	ADP
ejpam-3673	481	6	funding	fund	VERB
ejpam-3673	481	7	her	her	PRON
ejpam-3673	481	8	study	study	NOUN
ejpam-3673	481	9	in	in	ADP
ejpam-3673	481	10	itb	itb	NOUN
ejpam-3673	481	11	.	.	PUNCT
ejpam-3673	482	1	the	the	DET
ejpam-3673	482	2	authors	author	NOUN
ejpam-3673	482	3	thank	thank	VERB
ejpam-3673	482	4	itb	itb	NOUN
ejpam-3673	482	5	for	for	SCONJ
ejpam-3673	482	6	supported	support	VERB
ejpam-3673	482	7	this	this	DET
ejpam-3673	482	8	research	research	NOUN
ejpam-3673	482	9	.	.	PUNCT
ejpam-3673	483	1	we	we	PRON
ejpam-3673	483	2	are	be	AUX
ejpam-3673	483	3	also	also	ADV
ejpam-3673	483	4	grateful	grateful	ADJ
ejpam-3673	483	5	to	to	ADP
ejpam-3673	483	6	the	the	DET
ejpam-3673	483	7	referees	referee	NOUN
ejpam-3673	483	8	and	and	CCONJ
ejpam-3673	483	9	the	the	DET
ejpam-3673	483	10	editor	editor	NOUN
ejpam-3673	483	11	for	for	ADP
ejpam-3673	483	12	valuable	valuable	ADJ
ejpam-3673	483	13	remarks	remark	NOUN
ejpam-3673	483	14	which	which	PRON
ejpam-3673	483	15	contributed	contribute	VERB
ejpam-3673	483	16	to	to	ADP
ejpam-3673	483	17	the	the	DET
ejpam-3673	483	18	improvement	improvement	NOUN
ejpam-3673	483	19	of	of	ADP
ejpam-3673	483	20	the	the	DET
ejpam-3673	483	21	paper	paper	NOUN
ejpam-3673	483	22	.	.	PUNCT
ejpam-3673	484	1	references	reference	NOUN
ejpam-3673	484	2	[	[	X
ejpam-3673	484	3	1	1	NUM
ejpam-3673	484	4	]	]	X
ejpam-3673	484	5	sm	sm	PROPN
ejpam-3673	484	6	.	.	PROPN
ejpam-3673	484	7	anvariyeh	anvariyeh	PROPN
ejpam-3673	484	8	and	and	CCONJ
ejpam-3673	484	9	b.	b.	PROPN
ejpam-3673	484	10	davvaz	davvaz	PROPN
ejpam-3673	484	11	.	.	PUNCT
ejpam-3673	485	1	u	u	NOUN
ejpam-3673	485	2	-split	-split	NOUN
ejpam-3673	485	3	-	-	PUNCT
ejpam-3673	485	4	exact	exact	ADJ
ejpam-3673	485	5	sequences	sequence	NOUN
ejpam-3673	485	6	.	.	PUNCT
ejpam-3673	486	1	far	far	PROPN
ejpam-3673	486	2	east	east	PROPN
ejpam-3673	486	3	journal	journal	PROPN
ejpam-3673	486	4	of	of	ADP
ejpam-3673	486	5	mathematical	mathematical	ADJ
ejpam-3673	486	6	sciences	science	NOUN
ejpam-3673	486	7	,	,	PUNCT
ejpam-3673	486	8	4(2):209–220	4(2):209–220	NUM
ejpam-3673	486	9	,	,	PUNCT
ejpam-3673	486	10	2002	2002	NUM
ejpam-3673	486	11	.	.	PUNCT
ejpam-3673	487	1	[	[	X
ejpam-3673	487	2	2	2	NUM
ejpam-3673	487	3	]	]	X
ejpam-3673	487	4	sm	sm	PROPN
ejpam-3673	487	5	.	.	PROPN
ejpam-3673	487	6	anvariyeh	anvariyeh	PROPN
ejpam-3673	487	7	and	and	CCONJ
ejpam-3673	487	8	b.	b.	PROPN
ejpam-3673	487	9	davvaz	davvaz	PROPN
ejpam-3673	487	10	.	.	PUNCT
ejpam-3673	488	1	on	on	ADP
ejpam-3673	488	2	quasi	quasi	ADJ
ejpam-3673	488	3	-	-	ADJ
ejpam-3673	488	4	exact	exact	ADJ
ejpam-3673	488	5	sequences	sequence	NOUN
ejpam-3673	488	6	.	.	PUNCT
ejpam-3673	489	1	bulletin	bulletin	NOUN
ejpam-3673	489	2	of	of	ADP
ejpam-3673	489	3	the	the	DET
ejpam-3673	489	4	korean	korean	PROPN
ejpam-3673	489	5	mathematical	mathematical	ADJ
ejpam-3673	489	6	society	society	NOUN
ejpam-3673	489	7	,	,	PUNCT
ejpam-3673	489	8	42(1):149–155	42(1):149–155	PROPN
ejpam-3673	489	9	,	,	PUNCT
ejpam-3673	489	10	2005	2005	NUM
ejpam-3673	489	11	.	.	PUNCT
ejpam-3673	490	1	references	reference	NOUN
ejpam-3673	490	2	344	344	NUM
ejpam-3673	491	1	[	[	X
ejpam-3673	491	2	3	3	NUM
ejpam-3673	491	3	]	]	PUNCT
ejpam-3673	491	4	k.	k.	PROPN
ejpam-3673	491	5	baur	baur	PROPN
ejpam-3673	491	6	,	,	PUNCT
ejpam-3673	491	7	y.	y.	PROPN
ejpam-3673	491	8	mahatma	mahatma	PROPN
ejpam-3673	491	9	,	,	PUNCT
ejpam-3673	491	10	and	and	CCONJ
ejpam-3673	491	11	i.	i.	PROPN
ejpam-3673	491	12	muchtadi	muchtadi	PROPN
ejpam-3673	491	13	-	-	PUNCT
ejpam-3673	491	14	alamsyah	alamsyah	NOUN
ejpam-3673	491	15	.	.	PUNCT
ejpam-3673	492	1	the	the	DET
ejpam-3673	492	2	u	u	NOUN
ejpam-3673	492	3	-projective	-projective	ADJ
ejpam-3673	492	4	resolution	resolution	NOUN
ejpam-3673	492	5	of	of	ADP
ejpam-3673	492	6	modules	module	NOUN
ejpam-3673	492	7	over	over	ADP
ejpam-3673	492	8	path	path	NOUN
ejpam-3673	492	9	algebras	algebra	NOUN
ejpam-3673	492	10	of	of	ADP
ejpam-3673	492	11	types	type	NOUN
ejpam-3673	492	12	an	an	PRON
ejpam-3673	492	13	and	and	CCONJ
ejpam-3673	492	14	ãn	ãn	NOUN
ejpam-3673	492	15	.	.	PUNCT
ejpam-3673	493	1	communications	communication	NOUN
ejpam-3673	493	2	of	of	ADP
ejpam-3673	493	3	the	the	DET
ejpam-3673	493	4	korean	korean	ADJ
ejpam-3673	493	5	mathematical	mathematical	ADJ
ejpam-3673	493	6	society	society	NOUN
ejpam-3673	493	7	,	,	PUNCT
ejpam-3673	493	8	34(3):701–718	34(3):701–718	PROPN
ejpam-3673	493	9	,	,	PUNCT
ejpam-3673	493	10	2019	2019	NUM
ejpam-3673	493	11	.	.	PUNCT
ejpam-3673	494	1	[	[	X
ejpam-3673	494	2	4	4	X
ejpam-3673	494	3	]	]	X
ejpam-3673	494	4	f.	f.	PROPN
ejpam-3673	494	5	borceux	borceux	PROPN
ejpam-3673	494	6	.	.	PUNCT
ejpam-3673	495	1	handbook	handbook	NOUN
ejpam-3673	495	2	of	of	ADP
ejpam-3673	495	3	categorical	categorical	ADJ
ejpam-3673	495	4	algebra	algebra	NOUN
ejpam-3673	495	5	:	:	PUNCT
ejpam-3673	495	6	volume	volume	NOUN
ejpam-3673	495	7	2	2	NUM
ejpam-3673	495	8	,	,	PUNCT
ejpam-3673	495	9	categories	category	NOUN
ejpam-3673	495	10	and	and	CCONJ
ejpam-3673	495	11	structures	structure	NOUN
ejpam-3673	495	12	,	,	PUNCT
ejpam-3673	495	13	volume	volume	NOUN
ejpam-3673	495	14	50	50	NUM
ejpam-3673	495	15	.	.	PUNCT
ejpam-3673	496	1	cambridge	cambridge	PROPN
ejpam-3673	496	2	university	university	PROPN
ejpam-3673	496	3	press	press	NOUN
ejpam-3673	496	4	,	,	PUNCT
ejpam-3673	496	5	1994	1994	NUM
ejpam-3673	496	6	.	.	PUNCT
ejpam-3673	497	1	[	[	X
ejpam-3673	497	2	5	5	X
ejpam-3673	497	3	]	]	PUNCT
ejpam-3673	497	4	b.	b.	PROPN
ejpam-3673	497	5	davvaz	davvaz	PROPN
ejpam-3673	497	6	and	and	CCONJ
ejpam-3673	497	7	y.a	y.a	PROPN
ejpam-3673	497	8	.	.	PROPN
ejpam-3673	497	9	parnian	parnian	PROPN
ejpam-3673	497	10	-	-	PUNCT
ejpam-3673	497	11	garamaleky	garamaleky	NOUN
ejpam-3673	497	12	.	.	PUNCT
ejpam-3673	498	1	a	a	DET
ejpam-3673	498	2	note	note	NOUN
ejpam-3673	498	3	on	on	ADP
ejpam-3673	498	4	exact	exact	ADJ
ejpam-3673	498	5	sequences	sequence	NOUN
ejpam-3673	498	6	.	.	PUNCT
ejpam-3673	499	1	bulletin	bulletin	NOUN
ejpam-3673	499	2	of	of	ADP
ejpam-3673	499	3	the	the	DET
ejpam-3673	499	4	malaysian	malaysian	PROPN
ejpam-3673	499	5	mathematical	mathematical	PROPN
ejpam-3673	499	6	sciences	sciences	PROPN
ejpam-3673	499	7	society	society	NOUN
ejpam-3673	499	8	,	,	PUNCT
ejpam-3673	499	9	22(1	22(1	NUM
ejpam-3673	499	10	)	)	PUNCT
ejpam-3673	499	11	,	,	PUNCT
ejpam-3673	499	12	1999	1999	NUM
ejpam-3673	499	13	.	.	PUNCT
ejpam-3673	500	1	[	[	X
ejpam-3673	500	2	6	6	NUM
ejpam-3673	500	3	]	]	PUNCT
ejpam-3673	500	4	b.	b.	PROPN
ejpam-3673	500	5	davvaz	davvaz	PROPN
ejpam-3673	500	6	and	and	CCONJ
ejpam-3673	500	7	h.	h.	PROPN
ejpam-3673	500	8	shabani	shabani	PROPN
ejpam-3673	500	9	-	-	NOUN
ejpam-3673	500	10	solt	solt	NOUN
ejpam-3673	500	11	.	.	PUNCT
ejpam-3673	501	1	a	a	DET
ejpam-3673	501	2	generalization	generalization	NOUN
ejpam-3673	501	3	of	of	ADP
ejpam-3673	501	4	homological	homological	ADJ
ejpam-3673	501	5	algebra	algebra	NOUN
ejpam-3673	501	6	.	.	PUNCT
ejpam-3673	502	1	journal	journal	NOUN
ejpam-3673	502	2	of	of	ADP
ejpam-3673	502	3	the	the	DET
ejpam-3673	502	4	korean	korean	PROPN
ejpam-3673	502	5	mathematical	mathematical	ADJ
ejpam-3673	502	6	society	society	NOUN
ejpam-3673	502	7	,	,	PUNCT
ejpam-3673	502	8	39(6):881–898	39(6):881–898	PROPN
ejpam-3673	502	9	,	,	PUNCT
ejpam-3673	502	10	2002	2002	NUM
ejpam-3673	502	11	.	.	PUNCT
ejpam-3673	503	1	[	[	X
ejpam-3673	503	2	7	7	X
ejpam-3673	503	3	]	]	X
ejpam-3673	503	4	g.	g.	PROPN
ejpam-3673	503	5	elfiyanti	elfiyanti	PROPN
ejpam-3673	503	6	.	.	PUNCT
ejpam-3673	504	1	sifat	sifat	PROPN
ejpam-3673	504	2	aditif	aditif	PROPN
ejpam-3673	504	3	kategori	kategori	PROPN
ejpam-3673	504	4	homotopi	homotopi	PROPN
ejpam-3673	504	5	kompleks	kompleks	PROPN
ejpam-3673	504	6	-	-	PUNCT
ejpam-3673	504	7	u	u	NOUN
ejpam-3673	504	8	.	.	PUNCT
ejpam-3673	505	1	logik@	logik@	PROPN
ejpam-3673	505	2	,	,	PUNCT
ejpam-3673	505	3	6(1):62–70	6(1):62–70	NUM
ejpam-3673	505	4	,	,	PUNCT
ejpam-3673	505	5	2016	2016	NUM
ejpam-3673	505	6	.	.	PUNCT
ejpam-3673	506	1	[	[	X
ejpam-3673	506	2	8	8	NUM
ejpam-3673	506	3	]	]	X
ejpam-3673	506	4	g.	g.	PROPN
ejpam-3673	506	5	elfiyanti	elfiyanti	PROPN
ejpam-3673	506	6	,	,	PUNCT
ejpam-3673	506	7	i.	i.	PROPN
ejpam-3673	506	8	muchtadi	muchtadi	PROPN
ejpam-3673	506	9	-	-	PUNCT
ejpam-3673	506	10	alamsyah	alamsyah	NOUN
ejpam-3673	506	11	,	,	PUNCT
ejpam-3673	506	12	d.	d.	PROPN
ejpam-3673	506	13	nasution	nasution	PROPN
ejpam-3673	506	14	,	,	PUNCT
ejpam-3673	506	15	and	and	CCONJ
ejpam-3673	506	16	u.	u.	PROPN
ejpam-3673	506	17	amartiwi	amartiwi	PROPN
ejpam-3673	506	18	.	.	PUNCT
ejpam-3673	507	1	abelian	abelian	PROPN
ejpam-3673	507	2	property	property	NOUN
ejpam-3673	507	3	of	of	ADP
ejpam-3673	507	4	the	the	DET
ejpam-3673	507	5	category	category	NOUN
ejpam-3673	507	6	of	of	ADP
ejpam-3673	507	7	u	u	PROPN
ejpam-3673	507	8	-complexes	-complexe	NOUN
ejpam-3673	507	9	.	.	PUNCT
ejpam-3673	508	1	international	international	ADJ
ejpam-3673	508	2	journal	journal	PROPN
ejpam-3673	508	3	of	of	ADP
ejpam-3673	508	4	mathematical	mathematical	ADJ
ejpam-3673	508	5	analysis	analysis	NOUN
ejpam-3673	508	6	,	,	PUNCT
ejpam-3673	508	7	10(17):849–853	10(17):849–853	NOUN
ejpam-3673	508	8	,	,	PUNCT
ejpam-3673	508	9	2016	2016	NUM
ejpam-3673	508	10	.	.	PUNCT
ejpam-3673	509	1	[	[	X
ejpam-3673	509	2	9	9	NUM
ejpam-3673	509	3	]	]	SYM
ejpam-3673	509	4	fitriani	fitriani	X
ejpam-3673	509	5	,	,	PUNCT
ejpam-3673	509	6	b.	b.	PROPN
ejpam-3673	509	7	surodjo	surodjo	PROPN
ejpam-3673	509	8	,	,	PUNCT
ejpam-3673	509	9	and	and	CCONJ
ejpam-3673	509	10	i.e.	i.e.	X
ejpam-3673	509	11	wijayanti	wijayanti	VERB
ejpam-3673	509	12	.	.	PUNCT
ejpam-3673	510	1	on	on	ADP
ejpam-3673	510	2	sub	sub	ADJ
ejpam-3673	510	3	-	-	ADJ
ejpam-3673	510	4	exact	exact	ADJ
ejpam-3673	510	5	sequences	sequence	NOUN
ejpam-3673	510	6	.	.	PUNCT
ejpam-3673	511	1	far	far	PROPN
ejpam-3673	511	2	east	east	PROPN
ejpam-3673	511	3	journal	journal	PROPN
ejpam-3673	511	4	of	of	ADP
ejpam-3673	511	5	mathematical	mathematical	ADJ
ejpam-3673	511	6	sciences	sciences	PROPN
ejpam-3673	511	7	,	,	PUNCT
ejpam-3673	511	8	100:1055–65	100:1055–65	NUM
ejpam-3673	511	9	,	,	PUNCT
ejpam-3673	511	10	2016	2016	NUM
ejpam-3673	511	11	.	.	PUNCT
ejpam-3673	512	1	[	[	X
ejpam-3673	512	2	10	10	NUM
ejpam-3673	512	3	]	]	X
ejpam-3673	512	4	fitriani	fitriani	X
ejpam-3673	512	5	,	,	PUNCT
ejpam-3673	512	6	b.	b.	PROPN
ejpam-3673	512	7	surodjo	surodjo	PROPN
ejpam-3673	512	8	,	,	PUNCT
ejpam-3673	512	9	and	and	CCONJ
ejpam-3673	512	10	i.e	i.e	PRON
ejpam-3673	512	11	wijayanti	wijayanti	NOUN
ejpam-3673	512	12	.	.	PUNCT
ejpam-3673	513	1	on	on	ADP
ejpam-3673	513	2	x	x	NOUN
ejpam-3673	513	3	-	-	PUNCT
ejpam-3673	513	4	sub	sub	ADJ
ejpam-3673	513	5	-	-	ADJ
ejpam-3673	513	6	linearly	linearly	ADV
ejpam-3673	513	7	independent	independent	ADJ
ejpam-3673	513	8	modules	module	NOUN
ejpam-3673	513	9	.	.	PUNCT
ejpam-3673	514	1	in	in	ADP
ejpam-3673	514	2	journal	journal	PROPN
ejpam-3673	514	3	of	of	ADP
ejpam-3673	514	4	physics	physics	PROPN
ejpam-3673	514	5	:	:	PUNCT
ejpam-3673	514	6	conference	conference	NOUN
ejpam-3673	514	7	series	series	NOUN
ejpam-3673	514	8	,	,	PUNCT
ejpam-3673	514	9	volume	volume	NOUN
ejpam-3673	514	10	893	893	NUM
ejpam-3673	514	11	,	,	PUNCT
ejpam-3673	514	12	page	page	NOUN
ejpam-3673	514	13	012008	012008	NUM
ejpam-3673	514	14	.	.	PUNCT
ejpam-3673	515	1	iop	iop	NOUN
ejpam-3673	515	2	publishing	publishing	NOUN
ejpam-3673	515	3	,	,	PUNCT
ejpam-3673	515	4	2017	2017	NUM
ejpam-3673	515	5	.	.	PUNCT
ejpam-3673	516	1	[	[	X
ejpam-3673	516	2	11	11	NUM
ejpam-3673	516	3	]	]	X
ejpam-3673	516	4	fitriani	fitriani	X
ejpam-3673	516	5	,	,	PUNCT
ejpam-3673	516	6	i.e	i.e	X
ejpam-3673	516	7	wijayanti	wijayanti	NOUN
ejpam-3673	516	8	,	,	PUNCT
ejpam-3673	516	9	and	and	CCONJ
ejpam-3673	516	10	b.	b.	PROPN
ejpam-3673	516	11	surodjo	surodjo	PROPN
ejpam-3673	516	12	.	.	PUNCT
ejpam-3673	517	1	generalization	generalization	NOUN
ejpam-3673	517	2	of	of	ADP
ejpam-3673	517	3	u	u	PROPN
ejpam-3673	517	4	-generator	-generator	NOUN
ejpam-3673	517	5	and	and	CCONJ
ejpam-3673	517	6	m	m	NOUN
ejpam-3673	517	7	subgenerator	subgenerator	NOUN
ejpam-3673	517	8	related	relate	VERB
ejpam-3673	517	9	to	to	ADP
ejpam-3673	517	10	category	category	NOUN
ejpam-3673	517	11	σ[m	σ[m	CCONJ
ejpam-3673	517	12	]	]	PUNCT
ejpam-3673	517	13	.	.	PUNCT
ejpam-3673	518	1	journal	journal	PROPN
ejpam-3673	518	2	of	of	ADP
ejpam-3673	518	3	mathematics	mathematics	PROPN
ejpam-3673	518	4	research	research	NOUN
ejpam-3673	518	5	,	,	PUNCT
ejpam-3673	518	6	10(4):1055	10(4):1055	NUM
ejpam-3673	518	7	–	–	PUNCT
ejpam-3673	518	8	65	65	NUM
ejpam-3673	518	9	,	,	PUNCT
ejpam-3673	518	10	2016	2016	NUM
ejpam-3673	518	11	.	.	PUNCT
ejpam-3673	519	1	[	[	X
ejpam-3673	519	2	12	12	NUM
ejpam-3673	519	3	]	]	X
ejpam-3673	519	4	d.	d.	PROPN
ejpam-3673	519	5	freni	freni	PROPN
ejpam-3673	519	6	and	and	CCONJ
ejpam-3673	519	7	y.	y.	PROPN
ejpam-3673	519	8	sureau	sureau	PROPN
ejpam-3673	519	9	.	.	PUNCT
ejpam-3673	520	1	hypergroupes	hypergroupe	NOUN
ejpam-3673	520	2	de	de	ADP
ejpam-3673	520	3	type	type	NOUN
ejpam-3673	520	4	-	-	PUNCT
ejpam-3673	520	5	u	u	NOUN
ejpam-3673	520	6	et	et	NOUN
ejpam-3673	520	7	homologie	homologie	X
ejpam-3673	520	8	de	de	NOUN
ejpam-3673	520	9	complexes	complex	NOUN
ejpam-3673	520	10	.	.	PUNCT
ejpam-3673	521	1	algebra	algebra	NOUN
ejpam-3673	521	2	universalis	universali	VERB
ejpam-3673	521	3	,	,	PUNCT
ejpam-3673	521	4	35(1):34–62	35(1):34–62	NUM
ejpam-3673	521	5	,	,	PUNCT
ejpam-3673	521	6	1996	1996	NUM
ejpam-3673	521	7	.	.	PUNCT
ejpam-3673	522	1	[	[	X
ejpam-3673	522	2	13	13	NUM
ejpam-3673	522	3	]	]	X
ejpam-3673	522	4	s.i	s.i	PROPN
ejpam-3673	522	5	.	.	PROPN
ejpam-3673	522	6	gelfand	gelfand	PROPN
ejpam-3673	522	7	and	and	CCONJ
ejpam-3673	522	8	y.i	y.i	PROPN
ejpam-3673	522	9	.	.	PROPN
ejpam-3673	522	10	manin	manin	PROPN
ejpam-3673	522	11	.	.	PUNCT
ejpam-3673	523	1	methods	method	NOUN
ejpam-3673	523	2	of	of	ADP
ejpam-3673	523	3	homological	homological	ADJ
ejpam-3673	523	4	algebra	algebra	NOUN
ejpam-3673	523	5	.	.	PUNCT
ejpam-3673	524	1	springer	springer	NOUN
ejpam-3673	524	2	science	science	PROPN
ejpam-3673	524	3	&	&	CCONJ
ejpam-3673	524	4	business	business	NOUN
ejpam-3673	524	5	media	medium	NOUN
ejpam-3673	524	6	,	,	PUNCT
ejpam-3673	524	7	2013	2013	NUM
ejpam-3673	524	8	.	.	PUNCT
ejpam-3673	525	1	[	[	X
ejpam-3673	525	2	14	14	NUM
ejpam-3673	525	3	]	]	PUNCT
ejpam-3673	525	4	t.	t.	PROPN
ejpam-3673	525	5	holm	holm	PROPN
ejpam-3673	525	6	,	,	PUNCT
ejpam-3673	525	7	p.	p.	PROPN
ejpam-3673	525	8	jørgensen	jørgensen	PROPN
ejpam-3673	525	9	,	,	PUNCT
ejpam-3673	525	10	and	and	CCONJ
ejpam-3673	525	11	r.	r.	PROPN
ejpam-3673	525	12	rouquier	rouquier	NOUN
ejpam-3673	525	13	.	.	PUNCT
ejpam-3673	526	1	triangulated	triangulate	VERB
ejpam-3673	526	2	categories	category	NOUN
ejpam-3673	526	3	,	,	PUNCT
ejpam-3673	526	4	volume	volume	NOUN
ejpam-3673	526	5	375	375	NUM
ejpam-3673	526	6	.	.	PUNCT
ejpam-3673	527	1	cambridge	cambridge	PROPN
ejpam-3673	527	2	university	university	PROPN
ejpam-3673	527	3	press	press	NOUN
ejpam-3673	527	4	,	,	PUNCT
ejpam-3673	527	5	2010	2010	NUM
ejpam-3673	527	6	.	.	PUNCT
ejpam-3673	528	1	[	[	X
ejpam-3673	528	2	15	15	NUM
ejpam-3673	528	3	]	]	X
ejpam-3673	528	4	s.	s.	PROPN
ejpam-3673	528	5	könig	könig	PROPN
ejpam-3673	528	6	and	and	CCONJ
ejpam-3673	528	7	a.	a.	PROPN
ejpam-3673	528	8	zimmermann	zimmermann	PROPN
ejpam-3673	528	9	.	.	PUNCT
ejpam-3673	529	1	derived	derive	VERB
ejpam-3673	529	2	equivalences	equivalence	NOUN
ejpam-3673	529	3	for	for	ADP
ejpam-3673	529	4	group	group	NOUN
ejpam-3673	529	5	rings	ring	NOUN
ejpam-3673	529	6	,	,	PUNCT
ejpam-3673	529	7	volume	volume	NOUN
ejpam-3673	529	8	1685	1685	NUM
ejpam-3673	529	9	.	.	PUNCT
ejpam-3673	529	10	springer	springer	NOUN
ejpam-3673	529	11	,	,	PUNCT
ejpam-3673	529	12	2006	2006	NUM
ejpam-3673	529	13	.	.	PUNCT
ejpam-3673	530	1	[	[	X
ejpam-3673	530	2	16	16	NUM
ejpam-3673	530	3	]	]	PUNCT
ejpam-3673	530	4	a.	a.	NOUN
ejpam-3673	530	5	madanshekaf	madanshekaf	PROPN
ejpam-3673	530	6	.	.	PUNCT
ejpam-3673	531	1	quasi	quasi	ADJ
ejpam-3673	531	2	-	-	ADJ
ejpam-3673	531	3	exact	exact	ADJ
ejpam-3673	531	4	sequence	sequence	NOUN
ejpam-3673	531	5	and	and	CCONJ
ejpam-3673	531	6	finitely	finitely	ADV
ejpam-3673	531	7	presented	present	VERB
ejpam-3673	531	8	modules	module	NOUN
ejpam-3673	531	9	.	.	PUNCT
ejpam-3673	532	1	iranian	iranian	ADJ
ejpam-3673	532	2	journal	journal	PROPN
ejpam-3673	532	3	of	of	ADP
ejpam-3673	532	4	mathematical	mathematical	ADJ
ejpam-3673	532	5	sciences	sciences	PROPN
ejpam-3673	532	6	and	and	CCONJ
ejpam-3673	532	7	informatics	informatic	NOUN
ejpam-3673	532	8	,	,	PUNCT
ejpam-3673	532	9	3(2):49–53	3(2):49–53	NUM
ejpam-3673	532	10	,	,	PUNCT
ejpam-3673	532	11	2008	2008	NUM
ejpam-3673	532	12	.	.	PUNCT
ejpam-3673	533	1	[	[	X
ejpam-3673	533	2	17	17	NUM
ejpam-3673	533	3	]	]	X
ejpam-3673	533	4	y.	y.	PROPN
ejpam-3673	533	5	mahatma	mahatma	PROPN
ejpam-3673	533	6	and	and	CCONJ
ejpam-3673	533	7	i.	i.	PROPN
ejpam-3673	533	8	muchtadi	muchtadi	PROPN
ejpam-3673	533	9	-	-	PUNCT
ejpam-3673	533	10	alamsyah	alamsyah	NOUN
ejpam-3673	533	11	.	.	PUNCT
ejpam-3673	534	1	construction	construction	NOUN
ejpam-3673	534	2	of	of	ADP
ejpam-3673	534	3	u	u	NOUN
ejpam-3673	534	4	-extension	-extension	NOUN
ejpam-3673	534	5	module	module	NOUN
ejpam-3673	534	6	.	.	PUNCT
ejpam-3673	535	1	in	in	ADP
ejpam-3673	535	2	aip	aip	PROPN
ejpam-3673	535	3	conference	conference	NOUN
ejpam-3673	535	4	proceedings	proceeding	NOUN
ejpam-3673	535	5	,	,	PUNCT
ejpam-3673	535	6	volume	volume	NOUN
ejpam-3673	535	7	1867	1867	NUM
ejpam-3673	535	8	,	,	PUNCT
ejpam-3673	535	9	page	page	NOUN
ejpam-3673	535	10	020025	020025	NUM
ejpam-3673	535	11	.	.	PUNCT
ejpam-3673	536	1	aip	aip	PROPN
ejpam-3673	536	2	publishing	publishing	PROPN
ejpam-3673	536	3	llc	llc	PROPN
ejpam-3673	536	4	,	,	PUNCT
ejpam-3673	536	5	2017	2017	NUM
ejpam-3673	536	6	.	.	PUNCT
ejpam-3673	537	1	references	reference	NOUN
ejpam-3673	537	2	345	345	NUM
ejpam-3673	537	3	[	[	X
ejpam-3673	537	4	18	18	NUM
ejpam-3673	537	5	]	]	X
ejpam-3673	537	6	c.a	c.a	PROPN
ejpam-3673	537	7	.	.	PROPN
ejpam-3673	537	8	weibel	weibel	PROPN
ejpam-3673	537	9	.	.	PUNCT
ejpam-3673	538	1	an	an	DET
ejpam-3673	538	2	introduction	introduction	NOUN
ejpam-3673	538	3	to	to	ADP
ejpam-3673	538	4	homological	homological	ADJ
ejpam-3673	538	5	algebra	algebra	NOUN
ejpam-3673	538	6	.	.	PUNCT
ejpam-3673	539	1	number	number	NOUN
ejpam-3673	539	2	38	38	NUM
ejpam-3673	539	3	.	.	PUNCT
ejpam-3673	540	1	cambridge	cambridge	PROPN
ejpam-3673	540	2	university	university	PROPN
ejpam-3673	540	3	press	press	NOUN
ejpam-3673	540	4	,	,	PUNCT
ejpam-3673	540	5	1995	1995	NUM
ejpam-3673	540	6	.	.	PUNCT
ejpam-3673	541	1	[	[	X
ejpam-3673	541	2	19	19	NUM
ejpam-3673	541	3	]	]	PUNCT
ejpam-3673	541	4	a.	a.	NOUN
ejpam-3673	541	5	zimmermann	zimmermann	PROPN
ejpam-3673	541	6	.	.	PUNCT
ejpam-3673	542	1	representation	representation	NOUN
ejpam-3673	542	2	theory	theory	NOUN
ejpam-3673	542	3	.	.	PUNCT
ejpam-3673	543	1	springer	springer	PROPN
ejpam-3673	543	2	,	,	PUNCT
ejpam-3673	543	3	amiens	amien	NOUN
ejpam-3673	543	4	,	,	PUNCT
ejpam-3673	543	5	5(9):11	5(9):11	NUM
ejpam-3673	543	6	,	,	PUNCT
ejpam-3673	543	7	2014	2014	NUM
ejpam-3673	543	8	.	.	PUNCT