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http://hdl.handle.net/11154/1507
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Title: | Orbit spaces and unions of equivariant absolute neighborhood extensors |
Authors: | Antonyan, SA |
Issue Date: | 2005 |
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. |
URI: | http://hdl.handle.net/11154/1507 |
ISSN: | 0166-8641 |
Appears in Collections: | Matemáticas
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