Homeomorphisms of Bagpipes

Details Homeomorphisms of Bagpipes Homeomorphisms of Bagpipes

2009-10-06

arxiv.org/abs/0910.0924v1

Mathematics

General Topology

11 pages, 1 figure

Scientific paper

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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