The homeomorphism groups of noncompact 2-manifolds

2008-05-21T02:16:56Z

2008-05-21T02:16:56Z

1999-02-26

Suppose M is a noncompact connected 2-manifold and let H(M) denote the homeomorphism group of M with the compact-open topology. In this paper we determine the condition on the end of M under which H(M) is an ell^2-manifold. It is shown that H(M) is an ell^2-manifold iff (i) M = N - (F cup A), where N is a compact connected 2-manifold, F is a finite subset of Int N and A is a 0-dimensional compact subset of dN and (ii) the group H_+(A) of order preserving homeomorphisms of A is discrete.

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京都工芸繊維大学　工芸学部研究報告　第４７巻　理工・欧文(1998) pp.41-48

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http://hdl.handle.net/10212/1738

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Journal Article

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