Invariant pseudometrics on Palais proper G-spaces

dc.contributor.author	de Neymet, S
dc.contributor.author	Antonyan, SA
dc.date.accessioned	2011-01-22T10:26:48Z
dc.date.available	2011-01-22T10:26:48Z
dc.date.issued	2003
dc.identifier.issn	0236-5294
dc.identifier.uri	http://hdl.handle.net/11154/3246
dc.description.abstract	Let G be a locally compact Hausdorff group. It is proved that: (1) on each Palais proper G-space X there exists a compatible family of Ginvariant pseudometrics	en_US
dc.description.abstract	(2) the existence of a compatible G-invariant metric on a metrizable proper G-space X is equivalent to the paracompactness of the orbit space X/G	en_US
dc.description.abstract	(3) if in addition G is either almost connected or separable, and X is locally separable, then there exists a compatible G-invariant metric on X.	en_US
dc.language.iso	en	en_US
dc.title	Invariant pseudometrics on Palais proper G-spaces	en_US
dc.type	Article	en_US
dc.identifier.idprometeo	2074
dc.source.novolpages	98(40575):59-69
dc.subject.wos	Mathematics
dc.description.index	WoS: SCI, SSCI o AHCI
dc.subject.keywords	proper G-space
dc.subject.keywords	orbit space
dc.subject.keywords	invariant metric
dc.subject.keywords	invariant uniformity
dc.subject.keywords	paracompactness
dc.relation.journal	Acta Mathematica Hungarica