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Locally continuously perfect groups of homeomorphisms

By Tomasz Rybicki

Abstract

The notion of a locally continuously perfect group is introduced and studied. This notion generalizes locally smoothly perfect groups introduced by Haller and Teichmann. Next, we prove that the path connected identity component of the group of all homeomorphisms of a manifold is locally continuously perfect. The case of equivariant homeomorphism group and other examples are also considered.Comment: 14 page

Topics: Mathematics - Differential Geometry
Year: 2011
DOI identifier: 10.1007/s10455-011-9253-5
OAI identifier: oai:arXiv.org:1104.2223
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