id	sid	tid	token	lemma	pos
kd17cr58x0q	1	1	we	we	PRON
kd17cr58x0q	1	2	study	study	VERB
kd17cr58x0q	1	3	the	the	DET
kd17cr58x0q	1	4	soul	soul	NOUN
kd17cr58x0q	1	5	theorem	theorem	NOUN
kd17cr58x0q	1	6	for	for	ADP
kd17cr58x0q	1	7	low	low	ADJ
kd17cr58x0q	1	8	dimensional	dimensional	ADJ
kd17cr58x0q	1	9	topologically	topologically	ADV
kd17cr58x0q	1	10	regular	regular	ADJ
kd17cr58x0q	1	11	open	open	ADJ
kd17cr58x0q	1	12	complete	complete	NOUN
kd17cr58x0q	1	13	nonnegatively	nonnegatively	ADV
kd17cr58x0q	1	14	curved	curved	ADJ
kd17cr58x0q	1	15	alexandrov	alexandrov	PROPN
kd17cr58x0q	1	16	spaces	space	NOUN
kd17cr58x0q	1	17	and	and	CCONJ
kd17cr58x0q	1	18	give	give	VERB
kd17cr58x0q	1	19	a	a	DET
kd17cr58x0q	1	20	topological	topological	ADJ
kd17cr58x0q	1	21	classification	classification	NOUN
kd17cr58x0q	1	22	of	of	ADP
kd17cr58x0q	1	23	these	these	DET
kd17cr58x0q	1	24	spaces	space	NOUN
kd17cr58x0q	1	25	.	.	PUNCT
kd17cr58x0q	2	1	these	these	DET
kd17cr58x0q	2	2	spaces	space	NOUN
kd17cr58x0q	2	3	occurs	occur	VERB
kd17cr58x0q	2	4	naturally	naturally	ADV
kd17cr58x0q	2	5	as	as	SCONJ
kd17cr58x0q	2	6	the	the	DET
kd17cr58x0q	2	7	blow	blow	NOUN
kd17cr58x0q	2	8	-	-	PUNCT
kd17cr58x0q	2	9	up	up	ADP
kd17cr58x0q	2	10	limits	limit	NOUN
kd17cr58x0q	2	11	of	of	ADP
kd17cr58x0q	2	12	sequences	sequence	NOUN
kd17cr58x0q	2	13	of	of	ADP
kd17cr58x0q	2	14	riemannian	riemannian	ADJ
kd17cr58x0q	2	15	manifold	manifold	ADJ
kd17cr58x0q	2	16	with	with	ADP
kd17cr58x0q	2	17	a	a	DET
kd17cr58x0q	2	18	lower	low	ADJ
kd17cr58x0q	2	19	curvature	curvature	NOUN
kd17cr58x0q	2	20	bound	bind	VERB
kd17cr58x0q	2	21	.	.	PUNCT
kd17cr58x0q	3	1	this	this	PRON
kd17cr58x0q	3	2	will	will	AUX
kd17cr58x0q	3	3	be	be	AUX
kd17cr58x0q	3	4	used	use	VERB
kd17cr58x0q	3	5	to	to	PART
kd17cr58x0q	3	6	study	study	VERB
kd17cr58x0q	3	7	the	the	DET
kd17cr58x0q	3	8	collapsing	collapsing	NOUN
kd17cr58x0q	3	9	of	of	ADP
kd17cr58x0q	3	10	3	3	NUM
kd17cr58x0q	3	11	-	-	PUNCT
kd17cr58x0q	3	12	dimension	dimension	NOUN
kd17cr58x0q	3	13	manifold	manifold	ADJ
kd17cr58x0q	3	14	as	as	ADV
kd17cr58x0q	3	15	well	well	ADV
kd17cr58x0q	3	16	as	as	ADP
kd17cr58x0q	3	17	of	of	ADP
kd17cr58x0q	3	18	4	4	NUM
kd17cr58x0q	3	19	-	-	PUNCT
kd17cr58x0q	3	20	dimension	dimension	NOUN
kd17cr58x0q	3	21	riemannian	riemannian	ADJ
kd17cr58x0q	3	22	manifold	manifold	ADJ
kd17cr58x0q	3	23	with	with	ADP
kd17cr58x0q	3	24	a	a	DET
kd17cr58x0q	3	25	lower	low	ADJ
kd17cr58x0q	3	26	curvature	curvature	NOUN
kd17cr58x0q	3	27	bound	bind	VERB
kd17cr58x0q	3	28	.	.	PUNCT
kd17cr58x0q	4	1	these	these	DET
kd17cr58x0q	4	2	spaces	space	NOUN
kd17cr58x0q	4	3	have	have	AUX
kd17cr58x0q	4	4	also	also	ADV
kd17cr58x0q	4	5	been	be	AUX
kd17cr58x0q	4	6	studied	study	VERB
kd17cr58x0q	4	7	in	in	ADP
kd17cr58x0q	4	8	[	[	X
kd17cr58x0q	4	9	sy00	sy00	PROPN
kd17cr58x0q	4	10	]	]	PUNCT
kd17cr58x0q	4	11	and	and	CCONJ
kd17cr58x0q	4	12	[	[	X
kd17cr58x0q	4	13	yam02	yam02	X
kd17cr58x0q	4	14	]	]	PUNCT
kd17cr58x0q	4	15	.	.	PUNCT
kd17cr58x0q	5	1	our	our	PRON
kd17cr58x0q	5	2	main	main	ADJ
kd17cr58x0q	5	3	tools	tool	NOUN
kd17cr58x0q	5	4	are	be	AUX
kd17cr58x0q	5	5	critical	critical	ADJ
kd17cr58x0q	5	6	point	point	NOUN
kd17cr58x0q	5	7	theory	theory	NOUN
kd17cr58x0q	5	8	for	for	ADP
kd17cr58x0q	5	9	distance	distance	NOUN
kd17cr58x0q	5	10	functions	function	NOUN
kd17cr58x0q	5	11	and	and	CCONJ
kd17cr58x0q	5	12	perelman	perelman	NOUN
kd17cr58x0q	5	13	's	's	PART
kd17cr58x0q	5	14	fibration	fibration	NOUN
kd17cr58x0q	5	15	theorem	theorem	NOUN
kd17cr58x0q	5	16	.	.	PUNCT