Weak extension theorem for measure-preserving homeomorphisms of noncompact manifolds
Geometric Topology
2009-04-09 v1 General Topology
Abstract
In this paper we introduce a general notion of weak extension property for embeddings induced by a group actions. As an example, for the group H(M, m) of measure-preserving homeomorphisms of a noncompact manifold M, we deduce weak type extension theorems, and as an application we exhibit the local contractibility of the group H_c(M, m) of measure-preserving homeomorphisms with compact support of a noncompact connected manifold M endowed with the Whitney topology.
Keywords
Cite
@article{arxiv.0904.1264,
title = {Weak extension theorem for measure-preserving homeomorphisms of noncompact manifolds},
author = {Tatsuhiko Yagasaki},
journal= {arXiv preprint arXiv:0904.1264},
year = {2009}
}
Comments
22 pages