Weak extension theorem for measure-preserving homeomorphisms of noncompact manifolds

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dc.creatorYagasaki, Tatsuhiko
dc.date2009-04-08
dc.date.accessioned2026-07-07T13:01:39Z
dc.date.available2026-07-07T13:01:39Z
dc.descriptionIn this paper we introduce a general notion of weak extension property for embeddings induced by a group actions. As an example, for the group H(M, m) of measure-preserving homeomorphisms of a noncompact manifold M, we deduce weak type extension theorems, and as an application we exhibit the local contractibility of the group H_c(M, m) of measure-preserving homeomorphisms with compact support of a noncompact connected manifold M endowed with the Whitney topology.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0904.1264
dc.identifierhttp://arxiv.org/abs/0904.1264
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226219
dc.subjectGeometric Topology
dc.subjectGeneral Topology
dc.subject57S05; 58C35
dc.titleWeak extension theorem for measure-preserving homeomorphisms of noncompact manifolds
dc.typetext

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