| Title:
|
On the uniform perfectness of groups of bundle homeomorphisms (English) |
| Author:
|
Rybicki, Tomasz |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
55 |
| Issue:
|
5 |
| Year:
|
2019 |
| Pages:
|
333-339 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Groups of homeomorphisms related to locally trivial bundles are studied. It is shown that these groups are perfect. Moreover if the homeomorphism isotopy group of the base is bounded then the bundle homeomorphism group of the total space is uniformly perfect. (English) |
| Keyword:
|
homeomorphism group |
| Keyword:
|
uniformly perfect |
| Keyword:
|
continuously perfect |
| Keyword:
|
bounded |
| Keyword:
|
locally trivial bundle |
| MSC:
|
55R10 |
| MSC:
|
57S05 |
| MSC:
|
58D05 |
| idZBL:
|
Zbl 07144747 |
| idMR:
|
MR4057929 |
| DOI:
|
10.5817/AM2019-5-333 |
| . |
| Date available:
|
2019-12-09T12:25:30Z |
| Last updated:
|
2020-11-24 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147945 |
| . |
| Reference:
|
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| Reference:
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| . |
