Groups of measure-preserving homeomorphisms of noncompact 2-manifolds

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dc.creatorYagasaki, Tatsuhiko
dc.date2005-07-16
dc.date.accessioned2026-07-07T05:21:45Z
dc.date.available2026-07-07T05:21:45Z
dc.descriptionSuppose M is a noncompact connected 2-manifold and m is a good Radon measure of M with m(partial M) = 0. Let H(M)_0 denote the identity component of the group of homeomorphisms of M equipped with the compact-open topology and let H(M; m)_0 denote the identity component of the subgroup consisting of m-preserving homeomorphisms of M. We use results of A.Fathi and R.Berlanga to show that H(M; m)_0 is a strong deformation retract of H(M)_0 and classify the topological type of H(M; m)_0.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0507328
dc.identifierhttp://arxiv.org/abs/math/0507328
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75804
dc.subjectGeometric Topology
dc.subjectGeneral Topology
dc.subject57S05, 28D15, 58C35, 57N05
dc.titleGroups of measure-preserving homeomorphisms of noncompact 2-manifolds
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