On the uniform perfectness of groups of bundle homeomorphisms
Archivum mathematicum, Tome 55 (2019) no. 5, pp. 333-339
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
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.
DOI :
10.5817/AM2019-5-333
Classification :
55R10, 57S05, 58D05
Keywords: homeomorphism group; uniformly perfect; continuously perfect; bounded; locally trivial bundle
Keywords: homeomorphism group; uniformly perfect; continuously perfect; bounded; locally trivial bundle
@article{10_5817_AM2019_5_333,
author = {Rybicki, Tomasz},
title = {On the uniform perfectness of groups of bundle homeomorphisms},
journal = {Archivum mathematicum},
pages = {333--339},
publisher = {mathdoc},
volume = {55},
number = {5},
year = {2019},
doi = {10.5817/AM2019-5-333},
mrnumber = {4057929},
zbl = {07144747},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2019-5-333/}
}
TY - JOUR AU - Rybicki, Tomasz TI - On the uniform perfectness of groups of bundle homeomorphisms JO - Archivum mathematicum PY - 2019 SP - 333 EP - 339 VL - 55 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5817/AM2019-5-333/ DO - 10.5817/AM2019-5-333 LA - en ID - 10_5817_AM2019_5_333 ER -
Rybicki, Tomasz. On the uniform perfectness of groups of bundle homeomorphisms. Archivum mathematicum, Tome 55 (2019) no. 5, pp. 333-339. doi: 10.5817/AM2019-5-333
Cité par Sources :