Different versions of mapping class groups of surfaces
General Topology
2009-08-18 v1 Algebraic Topology
Abstract
We give a short, mostly elementary and self-contained proof of the classical result that the groups of diffeomorphisms, homeomorphisms, and homotopy equivalences of a surface have the same group of connected components.
Cite
@article{arxiv.0908.2221,
title = {Different versions of mapping class groups of surfaces},
author = {Søren Kjærgaard Boldsen},
journal= {arXiv preprint arXiv:0908.2221},
year = {2009}
}
Comments
18 pages, 2 figures