Spaces of embeddings of compact polyhedra into 2-manifolds
| dc.creator | Yagasaki, Tatsuhiko | |
| dc.date | 2000-10-24 | |
| dc.date.accessioned | 2026-07-07T04:38:12Z | |
| dc.date.available | 2026-07-07T04:38:12Z | |
| dc.description | Let M be a PL 2-manifold and X be a compact subpolyhedron of M and let E(X, M) denote the space of embeddings of X into M with the compact-open topology. In this paper we study an extension property of embeddings of X into M and show that the restriction map from the homeomorphism group of M to E(X, M) is a principal bundle. As an application we show that if M is a Euclidean PL 2-manifold and dim X >= 1 then the triple (E(X,M), E^LIP(X,M), E^PL(X, M)) is an (s,Sigma,sigma)-manifold, where E_K^LIP(X,M) and E_K^PL(X, M) denote the subspaces of Lipschitz and PL embeddings. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0010222 | |
| dc.identifier | http://arxiv.org/abs/math/0010222 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60187 | |
| dc.subject | Geometric Topology | |
| dc.subject | General Topology | |
| dc.subject | 57N05, 57N20, 57N35 | |
| dc.title | Spaces of embeddings of compact polyhedra into 2-manifolds | |
| dc.type | text |