Address: AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Kraków, Poland
E-mail: tomasz.rybicki@agh.edu.pl
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.
AMSclassification: primary 57S05; secondary 58D05, 55R10.
Keywords: homeomorphism group, uniformly perfect, continuously perfect, bounded, locally trivial bundle.
DOI: 10.5817/AM2019-5-333