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. 

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