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Please use this identifier to cite or link to this item:
http://hdl.handle.net/11154/3246
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| Title: | Invariant pseudometrics on Palais proper G-spaces |
| Authors: | de Neymet, S
Antonyan, SA |
| Issue Date: | 2003 |
| 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
(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
(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. |
| URI: | http://hdl.handle.net/11154/3246 |
| ISSN: | 0236-5294 |
| Appears in Collections: | Matemáticas
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