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Automatic continuity in homeomorphism groups of compact 2-manifolds

โœ Scribed by Christian Rosendal


Book ID
107529096
Publisher
The Hebrew University Magnes Press
Year
2008
Tongue
English
Weight
181 KB
Volume
166
Category
Article
ISSN
0021-2172

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Homotopy types of homeomorphism groups o
โœ Tatsuhiko Yagasaki ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 170 KB

Suppose M is a noncompact connected PL 2-manifold and let H(M) 0 denote the identity component of the homeomorphism group of M with the compact-open topology. In this paper we classify the homotopy type of H(M) 0 by showing that H(M) 0 has the homotopy type of the circle if M is the plane, an open o