Locally continuously perfect groups of homeomorphisms

Details Locally continuously perfect groups of homeomorphisms Locally continuously perfect groups of homeomorphisms

2011-04-12

arxiv.org/abs/1104.2223v1

Mathematics

Differential Geometry

14 pages

Scientific paper

10.1007/s10455-011-9253-5

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.

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