The groups of PL and Lipschitz homeomorphisms 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. In this paper we study the topological property of the triple (H(M)_0, H^PL(M)_0, H^PL, c(M)_0), where H(M)_0 is the identity component of the homeomorphism group {\cal H}(M) of M with the compact-open topology, and H^PL(M)_0 and H^PL, c(M)_0 are the identity components of the subgroups consisting of PL-homeomorphisms of M and ones with compact supports. We show that this triple is a (s^infty,sigma^infty,sigma^infty_f)-manifold and determine its topological type. We also study the subgroups of Lipschitz homeomorphisms.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0010224
dc.identifierhttp://arxiv.org/abs/math/0010224
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60189
dc.subjectGeometric Topology
dc.subjectGeneral Topology
dc.subject57N05, 57N20, 58B05, 58D15
dc.titleThe groups of PL and Lipschitz homeomorphisms of noncompact 2-manifolds
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