Groups of measure-preserving homeomorphisms of noncompact 2-manifolds
Geometric Topology
2007-05-23 v1 General Topology
Abstract
Suppose M is a noncompact connected 2-manifold and m is a good Radon measure of M with m(partial M) = 0. Let H(M)_0 denote the identity component of the group of homeomorphisms of M equipped with the compact-open topology and let H(M; m)_0 denote the identity component of the subgroup consisting of m-preserving homeomorphisms of M. We use results of A.Fathi and R.Berlanga to show that H(M; m)_0 is a strong deformation retract of H(M)_0 and classify the topological type of H(M; m)_0.
Keywords
Cite
@article{arxiv.math/0507328,
title = {Groups of measure-preserving homeomorphisms of noncompact 2-manifolds},
author = {Tatsuhiko Yagasaki},
journal= {arXiv preprint arXiv:math/0507328},
year = {2007}
}
Comments
12 pages