The groups of PL and Lipschitz homeomorphisms of noncompact 2-manifolds
Geometric Topology
2007-05-23 v1 General Topology
Abstract
Suppose M is a noncompact connected PL 2-manifold. In this paper we study the topological property of the triple (H(M)_0, H^PL(M)_0, H^PL, c(M)_0), where H(M)_0 is the identity component of the homeomorphism group {\cal H}(M) of M with the compact-open topology, and H^PL(M)_0 and H^PL, c(M)_0 are the identity components of the subgroups consisting of PL-homeomorphisms of M and ones with compact supports. We show that this triple is a (s^infty,sigma^infty,sigma^infty_f)-manifold and determine its topological type. We also study the subgroups of Lipschitz homeomorphisms.
Keywords
Cite
@article{arxiv.math/0010224,
title = {The groups of PL and Lipschitz homeomorphisms of noncompact 2-manifolds},
author = {Tatsuhiko Yagasaki},
journal= {arXiv preprint arXiv:math/0010224},
year = {2007}
}
Comments
18 pages