Homeomorphisms of Bagpipes
General Topology
2009-10-07 v1 Geometric Topology
Abstract
We investigate the mapping class group of an orientable -bounded surface. Such a surface splits, by Nyikos's Bagpipe Theorem, into a union of a bag (a compact surface with boundary) and finitely many long pipes. The subgroup consisting of classes of homeomorphisms fixing the boundary of the bag is a normal subgroup and is a homomorphic image of the product of mapping class groups of the bag and the pipes.
Cite
@article{arxiv.0910.0924,
title = {Homeomorphisms of Bagpipes},
author = {David Gauld},
journal= {arXiv preprint arXiv:0910.0924},
year = {2009}
}
Comments
11 pages, 1 figure