Homeomorphisms of Bagpipes
classification
🧮 math.GN
math.GT
keywords
surfaceboundaryclasshomeomorphismsmappingpipessubgroupbagpipe
read the original abstract
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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