| Title:
|
Functor of extension of $\Lambda$-isometric maps between central subsets of the unbounded Urysohn universal space (English) |
| Author:
|
Niemiec, Piotr |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
51 |
| Issue:
|
3 |
| Year:
|
2010 |
| Pages:
|
541-549 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of the paper is to prove that in the unbounded Urysohn universal space $\mathbb U$ there is a functor of extension of $\Lambda $-isometric maps (i.e. dilations) between central subsets of $\mathbb U$ to $\Lambda $-isometric maps acting on the whole space. Special properties of the functor are established. It is also shown that the multiplicative group $\mathbb R \setminus \{0\}$ acts continuously on $\mathbb U$ by $\Lambda $-isometries. (English) |
| Keyword:
|
Urysohn's universal space |
| Keyword:
|
ultrahomogeneous spaces |
| Keyword:
|
functor |
| Keyword:
|
extensions of isometries |
| MSC:
|
54C20 |
| MSC:
|
54E40 |
| MSC:
|
54E50 |
| idZBL:
|
Zbl 1224.54044 |
| idMR:
|
MR2741886 |
| . |
| Date available:
|
2010-09-02T14:24:06Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140729 |
| . |
| 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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| Reference:
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| Reference:
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| Reference:
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| Reference:
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