id	sid	tid	token	lemma	pos
dj52w378725	1	1	in	in	ADP
dj52w378725	1	2	classical	classical	ADJ
dj52w378725	1	3	lefschetz	lefschetz	PROPN
dj52w378725	1	4	-	-	PUNCT
dj52w378725	1	5	nielsen	nielsen	PROPN
dj52w378725	1	6	theory	theory	NOUN
dj52w378725	1	7	,	,	PUNCT
dj52w378725	1	8	one	one	NUM
dj52w378725	1	9	defines	define	VERB
dj52w378725	1	10	the	the	DET
dj52w378725	1	11	lefschetz	lefschetz	ADJ
dj52w378725	1	12	invariant	invariant	PROPN
dj52w378725	1	13	l(f	l(f	PROPN
dj52w378725	1	14	)	)	PUNCT
dj52w378725	1	15	of	of	ADP
dj52w378725	1	16	an	an	DET
dj52w378725	1	17	endomorphism	endomorphism	NOUN
dj52w378725	1	18	f	f	X
dj52w378725	1	19	of	of	ADP
dj52w378725	1	20	a	a	DET
dj52w378725	1	21	manifold	manifold	ADJ
dj52w378725	1	22	m.	m.	NOUN
dj52w378725	1	23	the	the	DET
dj52w378725	1	24	definition	definition	NOUN
dj52w378725	1	25	depends	depend	VERB
dj52w378725	1	26	on	on	ADP
dj52w378725	1	27	the	the	DET
dj52w378725	1	28	fundamental	fundamental	ADJ
dj52w378725	1	29	group	group	NOUN
dj52w378725	1	30	of	of	ADP
dj52w378725	1	31	m	m	PROPN
dj52w378725	1	32	,	,	PUNCT
dj52w378725	1	33	and	and	CCONJ
dj52w378725	1	34	hence	hence	ADV
dj52w378725	1	35	on	on	ADP
dj52w378725	1	36	choosing	choose	VERB
dj52w378725	1	37	a	a	DET
dj52w378725	1	38	base	base	NOUN
dj52w378725	1	39	point	point	NOUN
dj52w378725	1	40	*	*	PUNCT
dj52w378725	1	41	in	in	ADP
dj52w378725	1	42	m	m	NOUN
dj52w378725	1	43	and	and	CCONJ
dj52w378725	1	44	a	a	DET
dj52w378725	1	45	base	base	ADJ
dj52w378725	1	46	path	path	NOUN
dj52w378725	1	47	from	from	ADP
dj52w378725	1	48	*	*	PUNCT
dj52w378725	1	49	to	to	ADP
dj52w378725	1	50	f	f	PROPN
dj52w378725	1	51	(	(	PUNCT
dj52w378725	1	52	*	*	PUNCT
dj52w378725	1	53	)	)	PUNCT
dj52w378725	1	54	.	.	PUNCT
dj52w378725	2	1	our	our	PRON
dj52w378725	2	2	goal	goal	NOUN
dj52w378725	2	3	is	be	AUX
dj52w378725	2	4	to	to	PART
dj52w378725	2	5	develop	develop	VERB
dj52w378725	2	6	a	a	DET
dj52w378725	2	7	family	family	NOUN
dj52w378725	2	8	version	version	NOUN
dj52w378725	2	9	of	of	ADP
dj52w378725	2	10	lefschetz	lefschetz	PROPN
dj52w378725	2	11	-	-	PUNCT
dj52w378725	2	12	nielsen	nielsen	PROPN
dj52w378725	2	13	theory	theory	NOUN
dj52w378725	2	14	,	,	PUNCT
dj52w378725	2	15	i.e.	i.e.	X
dj52w378725	2	16	,	,	PUNCT
dj52w378725	2	17	for	for	ADP
dj52w378725	2	18	a	a	DET
dj52w378725	2	19	smooth	smooth	ADJ
dj52w378725	2	20	fiber	fiber	NOUN
dj52w378725	2	21	bundle	bundle	NOUN
dj52w378725	2	22	p	p	NOUN
dj52w378725	2	23	:	:	PUNCT
dj52w378725	2	24	e--	e--	NUM
dj52w378725	2	25	>	>	SYM
dj52w378725	2	26	b	b	PROPN
dj52w378725	2	27	and	and	CCONJ
dj52w378725	2	28	a	a	DET
dj52w378725	2	29	fiber	fiber	NOUN
dj52w378725	2	30	bundle	bundle	NOUN
dj52w378725	2	31	endomorphism	endomorphism	NOUN
dj52w378725	2	32	f	f	X
dj52w378725	2	33	:	:	PUNCT
dj52w378725	2	34	e--	e--	X
dj52w378725	2	35	>	>	X
dj52w378725	2	36	e.	e.	PROPN
dj52w378725	2	37	a	a	DET
dj52w378725	2	38	family	family	NOUN
dj52w378725	2	39	version	version	NOUN
dj52w378725	2	40	of	of	ADP
dj52w378725	2	41	the	the	DET
dj52w378725	2	42	classical	classical	ADJ
dj52w378725	2	43	approach	approach	NOUN
dj52w378725	2	44	involves	involve	VERB
dj52w378725	2	45	choosing	choose	VERB
dj52w378725	2	46	a	a	DET
dj52w378725	2	47	section	section	NOUN
dj52w378725	2	48	s	s	PART
dj52w378725	2	49	:	:	PUNCT
dj52w378725	2	50	b--	b--	PROPN
dj52w378725	2	51	>	>	X
dj52w378725	2	52	e	e	PROPN
dj52w378725	2	53	of	of	ADP
dj52w378725	2	54	p	p	PROPN
dj52w378725	2	55	and	and	CCONJ
dj52w378725	2	56	a	a	DET
dj52w378725	2	57	path	path	NOUN
dj52w378725	2	58	of	of	ADP
dj52w378725	2	59	sections	section	NOUN
dj52w378725	2	60	from	from	ADP
dj52w378725	2	61	s	s	VERB
dj52w378725	2	62	to	to	ADP
dj52w378725	2	63	fs	fs	PROPN
dj52w378725	2	64	.	.	PROPN
dj52w378725	3	1	not	not	PART
dj52w378725	3	2	only	only	ADV
dj52w378725	3	3	is	be	AUX
dj52w378725	3	4	this	this	DET
dj52w378725	3	5	artificial	artificial	ADJ
dj52w378725	3	6	,	,	PUNCT
dj52w378725	3	7	but	but	CCONJ
dj52w378725	3	8	such	such	DET
dj52w378725	3	9	a	a	DET
dj52w378725	3	10	path	path	NOUN
dj52w378725	3	11	does	do	AUX
dj52w378725	3	12	not	not	PART
dj52w378725	3	13	always	always	ADV
dj52w378725	3	14	exist	exist	VERB
dj52w378725	3	15	.	.	PUNCT
dj52w378725	4	1	to	to	PART
dj52w378725	4	2	avoid	avoid	VERB
dj52w378725	4	3	this	this	DET
dj52w378725	4	4	difficulty	difficulty	NOUN
dj52w378725	4	5	,	,	PUNCT
dj52w378725	4	6	we	we	PRON
dj52w378725	4	7	replace	replace	VERB
dj52w378725	4	8	the	the	DET
dj52w378725	4	9	fundamental	fundamental	ADJ
dj52w378725	4	10	group	group	NOUN
dj52w378725	4	11	with	with	ADP
dj52w378725	4	12	the	the	DET
dj52w378725	4	13	fundamental	fundamental	ADJ
dj52w378725	4	14	groupoid	groupoid	NOUN
dj52w378725	4	15	.	.	PUNCT
dj52w378725	5	1	this	this	PRON
dj52w378725	5	2	gives	give	VERB
dj52w378725	5	3	us	we	PRON
dj52w378725	5	4	a	a	DET
dj52w378725	5	5	base	base	NOUN
dj52w378725	5	6	point	point	NOUN
dj52w378725	5	7	free	free	ADJ
dj52w378725	5	8	version	version	NOUN
dj52w378725	5	9	of	of	ADP
dj52w378725	5	10	the	the	DET
dj52w378725	5	11	lefschetz	lefschetz	ADJ
dj52w378725	5	12	invariant	invariant	NOUN
dj52w378725	5	13	.	.	PUNCT
dj52w378725	6	1	in	in	ADP
dj52w378725	6	2	the	the	DET
dj52w378725	6	3	family	family	NOUN
dj52w378725	6	4	setting	setting	NOUN
dj52w378725	6	5	,	,	PUNCT
dj52w378725	6	6	we	we	PRON
dj52w378725	6	7	define	define	VERB
dj52w378725	6	8	the	the	DET
dj52w378725	6	9	lefschetz	lefschetz	ADJ
dj52w378725	6	10	invariant	invariant	NOUN
dj52w378725	6	11	using	use	VERB
dj52w378725	6	12	a	a	DET
dj52w378725	6	13	bordism	bordism	NOUN
dj52w378725	6	14	theoretic	theoretic	ADJ
dj52w378725	6	15	construction	construction	NOUN
dj52w378725	6	16	,	,	PUNCT
dj52w378725	6	17	and	and	CCONJ
dj52w378725	6	18	prove	prove	VERB
dj52w378725	6	19	a	a	DET
dj52w378725	6	20	hopf	hopf	NOUN
dj52w378725	6	21	-	-	PUNCT
dj52w378725	6	22	lefschetz	lefschetz	VERB
dj52w378725	6	23	theorem	theorem	NOUN
dj52w378725	6	24	.	.	PUNCT
dj52w378725	7	1	we	we	PRON
dj52w378725	7	2	then	then	ADV
dj52w378725	7	3	describe	describe	VERB
dj52w378725	7	4	our	our	PRON
dj52w378725	7	5	ideas	idea	NOUN
dj52w378725	7	6	for	for	ADP
dj52w378725	7	7	extending	extend	VERB
dj52w378725	7	8	the	the	DET
dj52w378725	7	9	algebraic	algebraic	ADJ
dj52w378725	7	10	base	base	NOUN
dj52w378725	7	11	point	point	NOUN
dj52w378725	7	12	free	free	ADJ
dj52w378725	7	13	invariant	invariant	NOUN
dj52w378725	7	14	to	to	PART
dj52w378725	7	15	get	get	VERB
dj52w378725	7	16	an	an	DET
dj52w378725	7	17	algebraic	algebraic	ADJ
dj52w378725	7	18	version	version	NOUN
dj52w378725	7	19	of	of	ADP
dj52w378725	7	20	the	the	DET
dj52w378725	7	21	lefschetz	lefschetz	ADJ
dj52w378725	7	22	invariant	invariant	NOUN
dj52w378725	7	23	in	in	ADP
dj52w378725	7	24	the	the	DET
dj52w378725	7	25	family	family	NOUN
dj52w378725	7	26	setting	setting	NOUN
dj52w378725	7	27	.	.	PUNCT