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Homotopy types of homeomorphism groups of noncompact 2-manifolds

โœ Scribed by Tatsuhiko Yagasaki

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
170 KB
Volume
108
Category
Article
ISSN
0166-8641

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โœฆ Synopsis

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 or half open annulus, or the punctured projective plane. In all other cases we show that H(M) 0 is homotopically trivial.

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