English

Homeomorphisms of Bagpipes

General Topology 2009-10-07 v1 Geometric Topology

Abstract

We investigate the mapping class group of an orientable ω\omega-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.

Keywords

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