Measure-preserving homeomorphisms of noncompact manifolds and mass flow toward ends
| dc.creator | Yagasaki, Tatsuhiko | |
| dc.date | 2005-12-12 | |
| dc.date | 2008-02-12 | |
| dc.date.accessioned | 2026-07-07T09:19:59Z | |
| dc.date.available | 2026-07-07T09:19:59Z | |
| dc.description | Suppose M is a noncompact connected n-manifold and m is a good Radon measure of M with m(bdry M) = 0. Let H(M; m) denote the group of m-preserving homeomorphisms of M equipped with the compact-open topology and H_E(M; m) denote the subgroup consisting of all h in H(M; m) which fix the ends of M. Each h in H_E(M; m) moves mass toward ends and this quantity is measured by a mass flow homomorphism J : H_E(M; m) -> V_m, where V_m is a topological vector space. We show that the map J has a continuous section. This induces the factorization H_E(M; m) cong Ker J times V_m and implies that Ker J is a strong deformation retract of H_E(M; m). | |
| dc.description | the published version | |
| dc.identifier | https://arxiv.org/abs/math/0512231 | |
| dc.identifier | http://arxiv.org/abs/math/0512231 | |
| dc.identifier | Fund. Math., 197 (2007) 271 - 287 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154595 | |
| dc.subject | Geometric Topology | |
| dc.subject | Dynamical Systems | |
| dc.subject | General Topology | |
| dc.subject | 57S05, 28D15, 58C35, 57N15 | |
| dc.title | Measure-preserving homeomorphisms of noncompact manifolds and mass flow toward ends | |
| dc.type | text |