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http://hdl.handle.net/11154/1368
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Title: | Orbit spaces of proper equivariant absolute extensors |
Authors: | Antonyan, SA |
Issue Date: | 2005 |
Abstract: | Let G be a locally compact Hausdorff group. We study orbit spaces of equivariant absolute neighborhood extensors (G-ANE's) 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 (respectively, a G-ANE(n), n >= 0), and H a closed normal subgroup of G such that all the H-orbits in X are metrizable, then the H-orbit space X/H is a G/H-ANE (respectively, a G/H-ANE(n)). Other related results are also established. (c) 2005 Elsevier B.V. All rights reserved. |
URI: | http://hdl.handle.net/11154/1368 |
ISSN: | 0166-8641 |
Appears in Collections: | Matemáticas
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