On homeomorphism groups of non-compact surfaces, endowed with the Whitney topology

Details On homeomorphism groups of non-compact surfaces, endowed with the Whitney topology On homeomorphism groups of non-compact surfaces, endowed with the Whitney topology

2010-04-18

arxiv.org/abs/1004.3015v1

Mathematics

Geometric Topology

9 pages

Scientific paper

We prove that for any non-compact connected surface $M$ the group $H_c(M)$ of
compactly suported homeomorphisms of $M$ endowed with the Whitney topology is
homeomorphic to $R^\infty\times l_2$ or $Z\times R^\infty\times l_2$.

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