Equivariant extension properties of coset spaces of locally compact groups and approximate slices

Details Equivariant extension properties of coset spaces of locally compact groups and approximate slices Equivariant extension properties of coset spaces of locally compact groups and approximate slices

2011-03-03

arxiv.org/abs/1103.0804v1

Mathematics

General Topology

Scientific paper

We prove that for a compact subgroup $H$ of a locally compact Hausdorff group $G$, the following properties are mutually equivalent: (1) $G/H$ is a manifold, (2) $G/H$ is finite-dimensional and locally connected, (3) $G/H$ is locally contractible, (4) $G/H$ is an ANE for paracompact spaces, (5) $G/H$ is a metrizable $G$-ANE for paracompact proper $G$-spaces having a paracompact orbit space. A new version of the Approximate slice theorem is also proven in the light of these results.

Affiliated with

Also associated with

No associations

Rating

Equivariant extension properties of coset spaces of locally compact groups and approximate slices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Equivariant extension properties of coset spaces of locally compact groups and approximate slices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equivariant extension properties of coset spaces of locally compact groups and approximate slices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-320214