Homotopy types of homeomorphism groups of noncompact 2-manifolds

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dc.creatorYagasaki, Tatsuhiko
dc.date2000-10-24
dc.date.accessioned2026-07-07T04:38:12Z
dc.date.available2026-07-07T04:38:12Z
dc.descriptionSuppose 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 {\cal 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.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0010223
dc.identifierhttp://arxiv.org/abs/math/0010223
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60188
dc.subjectGeometric Topology
dc.subjectGeneral Topology
dc.subject57N05, 57N20
dc.titleHomotopy types of homeomorphism groups of noncompact 2-manifolds
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