| Title:
|
Invariant metrics on $G$-spaces (English) |
| Author:
|
Hajduk, Bogusław |
| Author:
|
Walczak, Rafał |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
53 |
| Issue:
|
2 |
| Year:
|
2003 |
| Pages:
|
449-466 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $X$ be a $G$-space such that the orbit space $X/G$ is metrizable. Suppose a family of slices is given at each point of $X$. We study a construction which associates, under some conditions on the family of slices, with any metric on $X/G$ an invariant metric on $X$. We show also that a family of slices with the required properties exists for any action of a countable group on a locally compact and locally connected metric space. (English) |
| Keyword:
|
G-space |
| Keyword:
|
invariant metric |
| Keyword:
|
slice |
| MSC:
|
54E35 |
| MSC:
|
54H15 |
| MSC:
|
57S30 |
| idZBL:
|
Zbl 1075.54506 |
| idMR:
|
MR1983465 |
| . |
| Date available:
|
2009-09-24T11:03:17Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127813 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| . |
