On the uniform perfectness of groups of bundle homeomorphisms

Tomasz Rybicki

Archivum Mathematicum (2019)

  • Volume: 055, Issue: 5, page 333-339
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Rybicki, Tomasz. "On the uniform perfectness of groups of bundle homeomorphisms." Archivum Mathematicum 055.5 (2019): 333-339. <http://eudml.org/doc/294380>.

@article{Rybicki2019,
abstract = {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.},
author = {Rybicki, Tomasz},
journal = {Archivum Mathematicum},
keywords = {homeomorphism group; uniformly perfect; continuously perfect; bounded; locally trivial bundle},
language = {eng},
number = {5},
pages = {333-339},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the uniform perfectness of groups of bundle homeomorphisms},
url = {http://eudml.org/doc/294380},
volume = {055},
year = {2019},
}

TY - JOUR
AU - Rybicki, Tomasz
TI - On the uniform perfectness of groups of bundle homeomorphisms
JO - Archivum Mathematicum
PY - 2019
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 055
IS - 5
SP - 333
EP - 339
AB - 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.
LA - eng
KW - homeomorphism group; uniformly perfect; continuously perfect; bounded; locally trivial bundle
UR - http://eudml.org/doc/294380
ER -

References

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  16. Rybicki, T., 10.1007/s10455-011-9253-5, Ann. Global Anal. Geom. 40 (2011), 191–202. (2011) MR2811625DOI10.1007/s10455-011-9253-5
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