id	sid	tid	token	lemma	pos
qn59q239w65	1	1	the	the	DET
qn59q239w65	1	2	classification	classification	NOUN
qn59q239w65	1	3	by	by	ADP
qn59q239w65	1	4	palais	palais	PROPN
qn59q239w65	1	5	of	of	ADP
qn59q239w65	1	6	g	g	PROPN
qn59q239w65	1	7	-	-	PUNCT
qn59q239w65	1	8	spaces	space	NOUN
qn59q239w65	1	9	,	,	PUNCT
qn59q239w65	1	10	topological	topological	ADJ
qn59q239w65	1	11	spaces	space	NOUN
qn59q239w65	1	12	acted	act	VERB
qn59q239w65	1	13	on	on	ADP
qn59q239w65	1	14	by	by	ADP
qn59q239w65	1	15	homeomorphisms	homeomorphism	NOUN
qn59q239w65	1	16	by	by	ADP
qn59q239w65	1	17	a	a	DET
qn59q239w65	1	18	compact	compact	ADJ
qn59q239w65	1	19	lie	lie	NOUN
qn59q239w65	1	20	group	group	NOUN
qn59q239w65	1	21	g	g	PROPN
qn59q239w65	1	22	,	,	PUNCT
qn59q239w65	1	23	is	be	AUX
qn59q239w65	1	24	refined	refine	VERB
qn59q239w65	1	25	.	.	PUNCT
qn59q239w65	2	1	under	under	ADP
qn59q239w65	2	2	mild	mild	ADJ
qn59q239w65	2	3	topological	topological	ADJ
qn59q239w65	2	4	hypotheses	hypothesis	NOUN
qn59q239w65	2	5	,	,	PUNCT
qn59q239w65	2	6	it	it	PRON
qn59q239w65	2	7	is	be	AUX
qn59q239w65	2	8	shown	show	VERB
qn59q239w65	2	9	that	that	SCONJ
qn59q239w65	2	10	when	when	SCONJ
qn59q239w65	2	11	a	a	DET
qn59q239w65	2	12	sequence	sequence	NOUN
qn59q239w65	2	13	of	of	ADP
qn59q239w65	2	14	orbit	orbit	NOUN
qn59q239w65	2	15	spaces	space	NOUN
qn59q239w65	2	16	is	be	AUX
qn59q239w65	2	17	'	'	PUNCT
qn59q239w65	2	18	close	close	ADJ
qn59q239w65	2	19	'	'	PUNCT
qn59q239w65	2	20	to	to	ADP
qn59q239w65	2	21	a	a	DET
qn59q239w65	2	22	limit	limit	NOUN
qn59q239w65	2	23	orbit	orbit	NOUN
qn59q239w65	2	24	space	space	NOUN
qn59q239w65	2	25	,	,	PUNCT
qn59q239w65	2	26	in	in	ADP
qn59q239w65	2	27	some	some	DET
qn59q239w65	2	28	suitable	suitable	ADJ
qn59q239w65	2	29	sense	sense	NOUN
qn59q239w65	2	30	,	,	PUNCT
qn59q239w65	2	31	within	within	ADP
qn59q239w65	2	32	a	a	DET
qn59q239w65	2	33	larger	large	ADJ
qn59q239w65	2	34	ambient	ambient	ADJ
qn59q239w65	2	35	orbit	orbit	NOUN
qn59q239w65	2	36	space	space	NOUN
qn59q239w65	2	37	,	,	PUNCT
qn59q239w65	2	38	the	the	DET
qn59q239w65	2	39	g	g	NOUN
qn59q239w65	2	40	-	-	PUNCT
qn59q239w65	2	41	spaces	space	NOUN
qn59q239w65	2	42	in	in	ADP
qn59q239w65	2	43	the	the	DET
qn59q239w65	2	44	tail	tail	NOUN
qn59q239w65	2	45	of	of	ADP
qn59q239w65	2	46	the	the	DET
qn59q239w65	2	47	sequence	sequence	NOUN
qn59q239w65	2	48	are	be	AUX
qn59q239w65	2	49	strongly	strongly	ADV
qn59q239w65	2	50	equivalent	equivalent	ADJ
qn59q239w65	2	51	to	to	ADP
qn59q239w65	2	52	the	the	DET
qn59q239w65	2	53	limit	limit	NOUN
qn59q239w65	2	54	g	g	NOUN
qn59q239w65	2	55	-	-	PUNCT
qn59q239w65	2	56	space	space	NOUN
qn59q239w65	2	57	.	.	PUNCT
qn59q239w65	3	1	three	three	NUM
qn59q239w65	3	2	applications	application	NOUN
qn59q239w65	3	3	of	of	ADP
qn59q239w65	3	4	the	the	DET
qn59q239w65	3	5	theory	theory	NOUN
qn59q239w65	3	6	to	to	ADP
qn59q239w65	3	7	alexandrov	alexandrov	PROPN
qn59q239w65	3	8	and	and	CCONJ
qn59q239w65	3	9	riemannian	riemannian	ADJ
qn59q239w65	3	10	geometry	geometry	NOUN
qn59q239w65	3	11	are	be	AUX
qn59q239w65	3	12	then	then	ADV
qn59q239w65	3	13	given	give	VERB
qn59q239w65	3	14	.	.	PUNCT
qn59q239w65	4	1	the	the	DET
qn59q239w65	4	2	covering	covering	NOUN
qn59q239w65	4	3	homotopy	homotopy	NOUN
qn59q239w65	4	4	theorem	theorem	NOUN
qn59q239w65	4	5	,	,	PUNCT
qn59q239w65	4	6	which	which	PRON
qn59q239w65	4	7	is	be	AUX
qn59q239w65	4	8	key	key	ADJ
qn59q239w65	4	9	to	to	ADP
qn59q239w65	4	10	the	the	DET
qn59q239w65	4	11	classification	classification	NOUN
qn59q239w65	4	12	theory	theory	NOUN
qn59q239w65	4	13	,	,	PUNCT
qn59q239w65	4	14	is	be	AUX
qn59q239w65	4	15	used	use	VERB
qn59q239w65	4	16	to	to	PART
qn59q239w65	4	17	prove	prove	VERB
qn59q239w65	4	18	a	a	DET
qn59q239w65	4	19	version	version	NOUN
qn59q239w65	4	20	of	of	ADP
qn59q239w65	4	21	the	the	DET
qn59q239w65	4	22	slice	slice	NOUN
qn59q239w65	4	23	theorem	theorem	NOUN
qn59q239w65	4	24	for	for	ADP
qn59q239w65	4	25	alexandrov	alexandrov	PROPN
qn59q239w65	4	26	spaces	space	NOUN
qn59q239w65	4	27	,	,	PUNCT
qn59q239w65	4	28	showing	show	VERB
qn59q239w65	4	29	that	that	SCONJ
qn59q239w65	4	30	the	the	DET
qn59q239w65	4	31	local	local	ADJ
qn59q239w65	4	32	action	action	NOUN
qn59q239w65	4	33	of	of	ADP
qn59q239w65	4	34	a	a	DET
qn59q239w65	4	35	group	group	NOUN
qn59q239w65	4	36	of	of	ADP
qn59q239w65	4	37	isometries	isometry	NOUN
qn59q239w65	4	38	is	be	AUX
qn59q239w65	4	39	topologically	topologically	ADV
qn59q239w65	4	40	determined	determine	VERB
qn59q239w65	4	41	by	by	ADP
qn59q239w65	4	42	its	its	PRON
qn59q239w65	4	43	infinitesimal	infinitesimal	ADJ
qn59q239w65	4	44	action	action	NOUN
qn59q239w65	4	45	.	.	PUNCT
qn59q239w65	5	1	the	the	DET
qn59q239w65	5	2	refinement	refinement	NOUN
qn59q239w65	5	3	of	of	ADP
qn59q239w65	5	4	the	the	DET
qn59q239w65	5	5	classification	classification	NOUN
qn59q239w65	5	6	theory	theory	NOUN
qn59q239w65	5	7	is	be	AUX
qn59q239w65	5	8	used	use	VERB
qn59q239w65	5	9	to	to	PART
qn59q239w65	5	10	prove	prove	VERB
qn59q239w65	5	11	an	an	DET
qn59q239w65	5	12	equivariant	equivariant	ADJ
qn59q239w65	5	13	version	version	NOUN
qn59q239w65	5	14	of	of	ADP
qn59q239w65	5	15	perelman	perelman	NOUN
qn59q239w65	5	16	's	's	PART
qn59q239w65	5	17	stability	stability	NOUN
qn59q239w65	5	18	theorem	theorem	NOUN
qn59q239w65	5	19	for	for	ADP
qn59q239w65	5	20	equicontinous	equicontinous	ADJ
qn59q239w65	5	21	sequences	sequence	NOUN
qn59q239w65	5	22	of	of	ADP
qn59q239w65	5	23	isometric	isometric	ADJ
qn59q239w65	5	24	actions	action	NOUN
qn59q239w65	5	25	by	by	ADP
qn59q239w65	5	26	a	a	DET
qn59q239w65	5	27	fixed	fix	VERB
qn59q239w65	5	28	compact	compact	ADJ
qn59q239w65	5	29	lie	lie	NOUN
qn59q239w65	5	30	group	group	NOUN
qn59q239w65	5	31	.	.	PUNCT
qn59q239w65	6	1	the	the	DET
qn59q239w65	6	2	class	class	NOUN
qn59q239w65	6	3	of	of	ADP
qn59q239w65	6	4	riemannian	riemannian	ADJ
qn59q239w65	6	5	orbifolds	orbifold	NOUN
qn59q239w65	6	6	of	of	ADP
qn59q239w65	6	7	a	a	DET
qn59q239w65	6	8	given	give	VERB
qn59q239w65	6	9	dimension	dimension	NOUN
qn59q239w65	6	10	defined	define	VERB
qn59q239w65	6	11	by	by	ADP
qn59q239w65	6	12	a	a	DET
qn59q239w65	6	13	lower	lower	ADV
qn59q239w65	6	14	bound	bind	VERB
qn59q239w65	6	15	on	on	ADP
qn59q239w65	6	16	the	the	DET
qn59q239w65	6	17	sectional	sectional	ADJ
qn59q239w65	6	18	curvature	curvature	NOUN
qn59q239w65	6	19	and	and	CCONJ
qn59q239w65	6	20	the	the	DET
qn59q239w65	6	21	volume	volume	NOUN
qn59q239w65	6	22	and	and	CCONJ
qn59q239w65	6	23	an	an	DET
qn59q239w65	6	24	upper	upper	ADJ
qn59q239w65	6	25	bound	bind	VERB
qn59q239w65	6	26	on	on	ADP
qn59q239w65	6	27	the	the	DET
qn59q239w65	6	28	diameter	diameter	NOUN
qn59q239w65	6	29	is	be	AUX
qn59q239w65	6	30	shown	show	VERB
qn59q239w65	6	31	to	to	PART
qn59q239w65	6	32	be	be	AUX
qn59q239w65	6	33	finite	finite	ADJ
qn59q239w65	6	34	up	up	ADP
qn59q239w65	6	35	to	to	ADP
qn59q239w65	6	36	orbifold	orbifold	ADJ
qn59q239w65	6	37	homeomorphism	homeomorphism	NOUN
qn59q239w65	6	38	.	.	PUNCT
qn59q239w65	7	1	furthermore	furthermore	ADV
qn59q239w65	7	2	,	,	PUNCT
qn59q239w65	7	3	any	any	DET
qn59q239w65	7	4	class	class	NOUN
qn59q239w65	7	5	of	of	ADP
qn59q239w65	7	6	isospectral	isospectral	ADJ
qn59q239w65	7	7	riemannian	riemannian	ADJ
qn59q239w65	7	8	orbifolds	orbifold	NOUN
qn59q239w65	7	9	with	with	ADP
qn59q239w65	7	10	a	a	DET
qn59q239w65	7	11	lower	lower	ADV
qn59q239w65	7	12	bound	bind	VERB
qn59q239w65	7	13	on	on	ADP
qn59q239w65	7	14	the	the	DET
qn59q239w65	7	15	sectional	sectional	ADJ
qn59q239w65	7	16	curvature	curvature	NOUN
qn59q239w65	7	17	is	be	AUX
qn59q239w65	7	18	also	also	ADV
qn59q239w65	7	19	shown	show	VERB
qn59q239w65	7	20	to	to	PART
qn59q239w65	7	21	be	be	AUX
qn59q239w65	7	22	finite	finite	ADJ
qn59q239w65	7	23	up	up	ADP
qn59q239w65	7	24	to	to	ADP
qn59q239w65	7	25	orbifold	orbifold	ADJ
qn59q239w65	7	26	homeomorphism	homeomorphism	NOUN
qn59q239w65	7	27	.	.	PUNCT