Corpus ID: 115163815

# Homeomorphisms of bagpipes

@article{Gauld2012HomeomorphismsOB,
title={Homeomorphisms of bagpipes},
author={D. Gauld},
journal={arXiv: General Topology},
year={2012}
}
• D. Gauld
• Published 2012
• Mathematics
• arXiv: General Topology
• We investigate the mapping class group of an orientable $\omega$-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.