id	sid	tid	token	lemma	pos
j098z89443m	1	1	this	this	DET
j098z89443m	1	2	thesis	thesis	NOUN
j098z89443m	1	3	extends	extend	VERB
j098z89443m	1	4	ravenel	ravenel	PROPN
j098z89443m	1	5	-	-	PUNCT
j098z89443m	1	6	wilson	wilson	PROPN
j098z89443m	1	7	hopf	hopf	PROPN
j098z89443m	1	8	ring	ring	NOUN
j098z89443m	1	9	techniques	technique	NOUN
j098z89443m	1	10	to	to	ADP
j098z89443m	1	11	c2	c2	NOUN
j098z89443m	1	12	-	-	PUNCT
j098z89443m	1	13	equivariant	equivariant	ADJ
j098z89443m	1	14	homotopy	homotopy	NOUN
j098z89443m	1	15	theory	theory	NOUN
j098z89443m	1	16	.	.	PUNCT
j098z89443m	2	1	our	our	PRON
j098z89443m	2	2	main	main	ADJ
j098z89443m	2	3	application	application	NOUN
j098z89443m	2	4	and	and	CCONJ
j098z89443m	2	5	motivation	motivation	NOUN
j098z89443m	2	6	for	for	ADP
j098z89443m	2	7	introducing	introduce	VERB
j098z89443m	2	8	these	these	DET
j098z89443m	2	9	methods	method	NOUN
j098z89443m	2	10	is	be	AUX
j098z89443m	2	11	a	a	DET
j098z89443m	2	12	computation	computation	NOUN
j098z89443m	2	13	of	of	ADP
j098z89443m	2	14	the	the	DET
j098z89443m	2	15	ro(c2)-graded	ro(c2)-graded	ADJ
j098z89443m	2	16	homology	homology	NOUN
j098z89443m	2	17	of	of	ADP
j098z89443m	2	18	c2	c2	PROPN
j098z89443m	2	19	-	-	PUNCT
j098z89443m	2	20	equivariant	equivariant	ADJ
j098z89443m	2	21	eilenberg	eilenberg	PROPN
j098z89443m	2	22	-	-	PUNCT
j098z89443m	2	23	maclane	maclane	NOUN
j098z89443m	2	24	spaces	space	NOUN
j098z89443m	2	25	.	.	PUNCT
j098z89443m	3	1	the	the	DET
j098z89443m	3	2	result	result	NOUN
j098z89443m	3	3	we	we	PRON
j098z89443m	3	4	obtain	obtain	VERB
j098z89443m	3	5	for	for	ADP
j098z89443m	3	6	c2	c2	PROPN
j098z89443m	3	7	-	-	PUNCT
j098z89443m	3	8	equivariant	equivariant	ADJ
j098z89443m	3	9	eilenberg	eilenberg	PROPN
j098z89443m	3	10	-	-	PUNCT
j098z89443m	3	11	maclane	maclane	NOUN
j098z89443m	3	12	spaces	space	NOUN
j098z89443m	3	13	associated	associate	VERB
j098z89443m	3	14	to	to	ADP
j098z89443m	3	15	the	the	DET
j098z89443m	3	16	constant	constant	ADJ
j098z89443m	3	17	mackey	mackey	NOUN
j098z89443m	3	18	functor	functor	NOUN
j098z89443m	3	19	f2	f2	PROPN
j098z89443m	3	20	gives	give	VERB
j098z89443m	3	21	a	a	DET
j098z89443m	3	22	c2	c2	ADJ
j098z89443m	3	23	-	-	PUNCT
j098z89443m	3	24	equivariant	equivariant	ADJ
j098z89443m	3	25	analogue	analogue	NOUN
j098z89443m	3	26	of	of	ADP
j098z89443m	3	27	the	the	DET
j098z89443m	3	28	classical	classical	ADJ
j098z89443m	3	29	computation	computation	NOUN
j098z89443m	3	30	due	due	ADP
j098z89443m	3	31	to	to	ADP
j098z89443m	3	32	serre	serre	NOUN
j098z89443m	3	33	at	at	ADP
j098z89443m	3	34	the	the	DET
j098z89443m	3	35	prime	prime	ADJ
j098z89443m	3	36	2	2	NUM
j098z89443m	3	37	.	.	PUNCT
j098z89443m	4	1	we	we	PRON
j098z89443m	4	2	also	also	ADV
j098z89443m	4	3	investigate	investigate	VERB
j098z89443m	4	4	a	a	DET
j098z89443m	4	5	twisted	twisted	ADJ
j098z89443m	4	6	bar	bar	NOUN
j098z89443m	4	7	spectral	spectral	ADJ
j098z89443m	4	8	sequence	sequence	NOUN
j098z89443m	4	9	computing	compute	VERB
j098z89443m	4	10	the	the	DET
j098z89443m	4	11	homology	homology	NOUN
j098z89443m	4	12	of	of	ADP
j098z89443m	4	13	these	these	DET
j098z89443m	4	14	equivariant	equivariant	ADJ
j098z89443m	4	15	eilenbergmaclane	eilenbergmaclane	NOUN
j098z89443m	4	16	spaces	space	NOUN
j098z89443m	4	17	and	and	CCONJ
j098z89443m	4	18	suggest	suggest	VERB
j098z89443m	4	19	the	the	DET
j098z89443m	4	20	existence	existence	NOUN
j098z89443m	4	21	of	of	ADP
j098z89443m	4	22	another	another	DET
j098z89443m	4	23	twisted	twisted	ADJ
j098z89443m	4	24	bar	bar	NOUN
j098z89443m	4	25	spectral	spectral	ADJ
j098z89443m	4	26	sequence	sequence	NOUN
j098z89443m	4	27	with	with	ADP
j098z89443m	4	28	e2	e2	NOUN
j098z89443m	4	29	-	-	PUNCT
j098z89443m	4	30	page	page	NOUN
j098z89443m	4	31	given	give	VERB
j098z89443m	4	32	in	in	ADP
j098z89443m	4	33	terms	term	NOUN
j098z89443m	4	34	of	of	ADP
j098z89443m	4	35	a	a	DET
j098z89443m	4	36	twisted	twisted	ADJ
j098z89443m	4	37	tor	tor	X
j098z89443m	4	38	functor	functor	NOUN
j098z89443m	4	39	.	.	PUNCT