id	sid	tid	token	lemma	pos
n296ww75v07	1	1	let	let	VERB
n296ww75v07	1	2	sl	sl	PROPN
n296ww75v07	1	3	be	be	AUX
n296ww75v07	1	4	the	the	DET
n296ww75v07	1	5	infinity	infinity	ADJ
n296ww75v07	1	6	-	-	PUNCT
n296ww75v07	1	7	category	category	NOUN
n296ww75v07	1	8	of	of	ADP
n296ww75v07	1	9	simplicial	simplicial	ADJ
n296ww75v07	1	10	restricted	restricted	ADJ
n296ww75v07	1	11	lie	lie	NOUN
n296ww75v07	1	12	algebras	algebra	NOUN
n296ww75v07	1	13	over	over	ADP
n296ww75v07	1	14	f	f	PROPN
n296ww75v07	1	15	,	,	PUNCT
n296ww75v07	1	16	the	the	DET
n296ww75v07	1	17	algebraic	algebraic	ADJ
n296ww75v07	1	18	closure	closure	NOUN
n296ww75v07	1	19	of	of	ADP
n296ww75v07	1	20	a	a	DET
n296ww75v07	1	21	finite	finite	ADJ
n296ww75v07	1	22	field	field	NOUN
n296ww75v07	1	23	f_p	f_p	SPACE
n296ww75v07	1	24	.	.	PUNCT
n296ww75v07	2	1	by	by	ADP
n296ww75v07	2	2	the	the	DET
n296ww75v07	2	3	work	work	NOUN
n296ww75v07	2	4	of	of	ADP
n296ww75v07	2	5	a.	a.	PROPN
n296ww75v07	2	6	k.	k.	PROPN
n296ww75v07	2	7	bousfield	bousfield	PROPN
n296ww75v07	2	8	et	et	PROPN
n296ww75v07	2	9	al	al	PROPN
n296ww75v07	2	10	.	.	PUNCT
n296ww75v07	3	1	on	on	ADP
n296ww75v07	3	2	the	the	DET
n296ww75v07	3	3	unstable	unstable	ADJ
n296ww75v07	3	4	adams	adams	PROPN
n296ww75v07	3	5	spectral	spectral	ADJ
n296ww75v07	3	6	sequence	sequence	NOUN
n296ww75v07	3	7	,	,	PUNCT
n296ww75v07	3	8	the	the	DET
n296ww75v07	3	9	category	category	NOUN
n296ww75v07	3	10	sl	sl	NOUN
n296ww75v07	3	11	can	can	AUX
n296ww75v07	3	12	be	be	AUX
n296ww75v07	3	13	viewed	view	VERB
n296ww75v07	3	14	as	as	ADP
n296ww75v07	3	15	an	an	DET
n296ww75v07	3	16	algebraic	algebraic	ADJ
n296ww75v07	3	17	approximation	approximation	NOUN
n296ww75v07	3	18	of	of	ADP
n296ww75v07	3	19	the	the	DET
n296ww75v07	3	20	infinity	infinity	ADJ
n296ww75v07	3	21	-	-	PUNCT
n296ww75v07	3	22	category	category	NOUN
n296ww75v07	3	23	of	of	ADP
n296ww75v07	3	24	pointed	pointed	ADJ
n296ww75v07	3	25	p	p	NOUN
n296ww75v07	3	26	-	-	PUNCT
n296ww75v07	3	27	complete	complete	ADJ
n296ww75v07	3	28	spaces	space	NOUN
n296ww75v07	3	29	.	.	PUNCT
n296ww75v07	4	1	we	we	PRON
n296ww75v07	4	2	study	study	VERB
n296ww75v07	4	3	the	the	DET
n296ww75v07	4	4	functor	functor	NOUN
n296ww75v07	4	5	calculus	calculus	NOUN
n296ww75v07	4	6	in	in	ADP
n296ww75v07	4	7	the	the	DET
n296ww75v07	4	8	category	category	NOUN
n296ww75v07	4	9	sl	sl	PROPN
n296ww75v07	4	10	.	.	PUNCT
n296ww75v07	5	1	more	more	ADV
n296ww75v07	5	2	specifically	specifically	ADV
n296ww75v07	5	3	,	,	PUNCT
n296ww75v07	5	4	we	we	PRON
n296ww75v07	5	5	consider	consider	VERB
n296ww75v07	5	6	the	the	DET
n296ww75v07	5	7	taylor	taylor	PROPN
n296ww75v07	5	8	tower	tower	NOUN
n296ww75v07	5	9	for	for	ADP
n296ww75v07	5	10	the	the	DET
n296ww75v07	5	11	functor	functor	NOUN
n296ww75v07	5	12	l^r	l^r	PROPN
n296ww75v07	5	13	of	of	ADP
n296ww75v07	5	14	a	a	DET
n296ww75v07	5	15	free	free	ADJ
n296ww75v07	5	16	simplicial	simplicial	NOUN
n296ww75v07	5	17	restricted	restricted	ADJ
n296ww75v07	5	18	lie	lie	NOUN
n296ww75v07	5	19	algebra	algebra	NOUN
n296ww75v07	5	20	together	together	ADV
n296ww75v07	5	21	with	with	ADP
n296ww75v07	5	22	the	the	DET
n296ww75v07	5	23	associated	associated	ADJ
n296ww75v07	5	24	goodwillie	goodwillie	PROPN
n296ww75v07	5	25	spectral	spectral	ADJ
n296ww75v07	5	26	sequence	sequence	NOUN
n296ww75v07	5	27	.	.	PUNCT
n296ww75v07	6	1	we	we	PRON
n296ww75v07	6	2	show	show	VERB
n296ww75v07	6	3	that	that	SCONJ
n296ww75v07	6	4	this	this	DET
n296ww75v07	6	5	spectral	spectral	ADJ
n296ww75v07	6	6	sequence	sequence	NOUN
n296ww75v07	6	7	evaluated	evaluate	VERB
n296ww75v07	6	8	at	at	ADP
n296ww75v07	6	9	sigma^l	sigma^l	PROPN
n296ww75v07	6	10	f	f	PROPN
n296ww75v07	6	11	,	,	PUNCT
n296ww75v07	6	12	l>=0	l>=0	PROPN
n296ww75v07	6	13	degenerates	degenerate	VERB
n296ww75v07	6	14	on	on	ADP
n296ww75v07	6	15	the	the	DET
n296ww75v07	6	16	third	third	ADJ
n296ww75v07	6	17	page	page	NOUN
n296ww75v07	6	18	after	after	ADP
n296ww75v07	6	19	a	a	DET
n296ww75v07	6	20	suitable	suitable	ADJ
n296ww75v07	6	21	re	re	NOUN
n296ww75v07	6	22	-	-	NOUN
n296ww75v07	6	23	indexing	indexing	NOUN
n296ww75v07	6	24	,	,	PUNCT
n296ww75v07	6	25	which	which	PRON
n296ww75v07	6	26	proves	prove	VERB
n296ww75v07	6	27	an	an	DET
n296ww75v07	6	28	algebraic	algebraic	ADJ
n296ww75v07	6	29	version	version	NOUN
n296ww75v07	6	30	of	of	ADP
n296ww75v07	6	31	the	the	DET
n296ww75v07	6	32	whitehead	whitehead	NOUN
n296ww75v07	6	33	conjecture.in	conjecture.in	NUM
n296ww75v07	6	34	our	our	PRON
n296ww75v07	6	35	proof	proof	NOUN
n296ww75v07	6	36	we	we	PRON
n296ww75v07	6	37	compute	compute	VERB
n296ww75v07	6	38	explicitly	explicitly	ADV
n296ww75v07	6	39	the	the	DET
n296ww75v07	6	40	differentials	differential	NOUN
n296ww75v07	6	41	of	of	ADP
n296ww75v07	6	42	the	the	DET
n296ww75v07	6	43	goodwillie	goodwillie	PROPN
n296ww75v07	6	44	spectral	spectral	ADJ
n296ww75v07	6	45	sequence	sequence	NOUN
n296ww75v07	6	46	in	in	ADP
n296ww75v07	6	47	terms	term	NOUN
n296ww75v07	6	48	of	of	ADP
n296ww75v07	6	49	the	the	DET
n296ww75v07	6	50	lambda	lambda	NOUN
n296ww75v07	6	51	-	-	PUNCT
n296ww75v07	6	52	algebra	algebra	NOUN
n296ww75v07	6	53	of	of	ADP
n296ww75v07	6	54	a.	a.	PROPN
n296ww75v07	6	55	k.	k.	PROPN
n296ww75v07	6	56	bousfield	bousfield	PROPN
n296ww75v07	6	57	et	et	PROPN
n296ww75v07	6	58	al	al	PROPN
n296ww75v07	6	59	.	.	PROPN
n296ww75v07	6	60	and	and	CCONJ
n296ww75v07	6	61	the	the	DET
n296ww75v07	6	62	dyer	dyer	NOUN
n296ww75v07	6	63	-	-	PUNCT
n296ww75v07	6	64	lashof	lashof	ADJ
n296ww75v07	6	65	-	-	PUNCT
n296ww75v07	6	66	lie	lie	NOUN
n296ww75v07	6	67	power	power	NOUN
n296ww75v07	6	68	operations	operation	NOUN
n296ww75v07	6	69	,	,	PUNCT
n296ww75v07	6	70	which	which	PRON
n296ww75v07	6	71	naturally	naturally	ADV
n296ww75v07	6	72	act	act	VERB
n296ww75v07	6	73	on	on	ADP
n296ww75v07	6	74	the	the	DET
n296ww75v07	6	75	homology	homology	NOUN
n296ww75v07	6	76	groups	group	NOUN
n296ww75v07	6	77	of	of	ADP
n296ww75v07	6	78	a	a	DET
n296ww75v07	6	79	spectral	spectral	ADJ
n296ww75v07	6	80	lie	lie	NOUN
n296ww75v07	6	81	algebra	algebra	NOUN
n296ww75v07	6	82	.	.	PUNCT
n296ww75v07	7	1	as	as	ADP
n296ww75v07	7	2	an	an	DET
n296ww75v07	7	3	essential	essential	ADJ
n296ww75v07	7	4	ingredient	ingredient	NOUN
n296ww75v07	7	5	of	of	ADP
n296ww75v07	7	6	our	our	PRON
n296ww75v07	7	7	calculations	calculation	NOUN
n296ww75v07	7	8	,	,	PUNCT
n296ww75v07	7	9	we	we	PRON
n296ww75v07	7	10	establish	establish	VERB
n296ww75v07	7	11	a	a	DET
n296ww75v07	7	12	general	general	ADJ
n296ww75v07	7	13	leibniz	leibniz	NOUN
n296ww75v07	7	14	rule	rule	NOUN
n296ww75v07	7	15	in	in	ADP
n296ww75v07	7	16	functor	functor	NOUN
n296ww75v07	7	17	calculus	calculus	NOUN
n296ww75v07	7	18	associated	associate	VERB
n296ww75v07	7	19	to	to	ADP
n296ww75v07	7	20	the	the	DET
n296ww75v07	7	21	composition	composition	NOUN
n296ww75v07	7	22	of	of	ADP
n296ww75v07	7	23	mapping	mapping	NOUN
n296ww75v07	7	24	spaces	space	NOUN
n296ww75v07	7	25	,	,	PUNCT
n296ww75v07	7	26	which	which	PRON
n296ww75v07	7	27	conceptualizes	conceptualize	VERB
n296ww75v07	7	28	certain	certain	ADJ
n296ww75v07	7	29	formulas	formula	NOUN
n296ww75v07	7	30	of	of	ADP
n296ww75v07	7	31	w.	w.	PROPN
n296ww75v07	7	32	h.	h.	PROPN
n296ww75v07	7	33	lin	lin	PROPN
n296ww75v07	7	34	.	.	PUNCT
n296ww75v07	8	1	also	also	ADV
n296ww75v07	8	2	,	,	PUNCT
n296ww75v07	8	3	as	as	ADP
n296ww75v07	8	4	a	a	DET
n296ww75v07	8	5	byproduct	byproduct	NOUN
n296ww75v07	8	6	,	,	PUNCT
n296ww75v07	8	7	we	we	PRON
n296ww75v07	8	8	identify	identify	VERB
n296ww75v07	8	9	previously	previously	ADV
n296ww75v07	8	10	unknown	unknown	ADJ
n296ww75v07	8	11	adem	adem	PROPN
n296ww75v07	8	12	relations	relation	NOUN
n296ww75v07	8	13	for	for	ADP
n296ww75v07	8	14	the	the	DET
n296ww75v07	8	15	dyer	dyer	NOUN
n296ww75v07	8	16	-	-	PUNCT
n296ww75v07	8	17	lashof	lashof	ADJ
n296ww75v07	8	18	-	-	PUNCT
n296ww75v07	8	19	lie	lie	NOUN
n296ww75v07	8	20	operations	operation	NOUN
n296ww75v07	8	21	in	in	ADP
n296ww75v07	8	22	the	the	DET
n296ww75v07	8	23	odd	odd	ADJ
n296ww75v07	8	24	-	-	PUNCT
n296ww75v07	8	25	primary	primary	ADJ
n296ww75v07	8	26	case	case	NOUN
n296ww75v07	8	27	.	.	PUNCT