2009/10/06 by Gauld, David
#37E30 #54H15 #57S05 #FOS: Mathematics #General Topology (math.GN) #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.0910.0924
We investigate the mapping class group of an orientable ω-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.