dc.contributor.author |
Antonyan, SA |
|
dc.date.accessioned |
2011-01-22T10:26:35Z |
|
dc.date.available |
2011-01-22T10:26:35Z |
|
dc.date.issued |
2005 |
|
dc.identifier.issn |
0166-8641 |
|
dc.identifier.uri |
http://hdl.handle.net/11154/1507 |
|
dc.description.abstract |
Let G be a locally compact Hausdorff group. We study orbit spaces and unions of equivariant absolute neighborhood extensors (G-ANEs) in the category of all proper G-spaces that are metrizable by a G-invariant metric. We prove that if a proper G-space X is a G-ANE such that all the G-orbits in X are metrizable, then the G-orbit space X/G is an ANE. Equivariant versions of Harmer's theorem and Kodama's theorem about unions of absolute neighborhood extensors are established. We also introduce the notion of a G-polyhedron and prove that if G is any compact group, then every G-ANR is arbitrary closely dominated by a G-polyhedron. Each G-polyhedron is a G-ANE. (C) 2004 Elsevier B.V All rights reserved. |
en_US |
dc.language.iso |
en |
en_US |
dc.title |
Orbit spaces and unions of equivariant absolute neighborhood extensors |
en_US |
dc.type |
Article |
en_US |
dc.identifier.idprometeo |
1694 |
|
dc.identifier.doi |
10.1016/j.topol.2003.05.004 |
|
dc.source.novolpages |
146:289-315 |
|
dc.subject.wos |
Mathematics, Applied |
|
dc.subject.wos |
Mathematics |
|
dc.description.index |
WoS: SCI, SSCI o AHCI |
|
dc.subject.keywords |
proper G-space |
|
dc.subject.keywords |
G-ANE |
|
dc.subject.keywords |
G-nerve |
|
dc.subject.keywords |
orbit space |
|
dc.subject.keywords |
slice |
|
dc.relation.journal |
Topology and Its Applications |
|