The complex of end reductions of a contractible open 3-manifold: constructing 1-dimensional examples
| dc.creator | Myers, Robert | |
| dc.date | 2004-05-19 | |
| dc.date.accessioned | 2026-07-07T05:08:25Z | |
| dc.date.available | 2026-07-07T05:08:25Z | |
| dc.description | Given an irreducible contractible open 3-manifold W which is not homeomorphic to R^3, there is an associated simplicial complex S(W), the complex of end reductions of W. Whenever W covers a 3-manifold M one has that the fundamental group of M is isomorphic to a subgroup of the group Aut(S(W)) of simplicial automorphisms of W. In this paper we give a new method for constructing examples W with S(W) isomorphic to a triangulation of R. It follows that any 3-manifold M covered by W must have infinite cyclic fundamental group. We also give a complete isotopy classification of the end reductions of W. | |
| dc.description | 23 pages, 3 figures, to appear in Boletin de la Sociedad Matematica Mexicana special issue (Ficofest Proceedings) in honor of Francisco Gonzalez-Acuna | |
| dc.identifier | https://arxiv.org/abs/math/0405380 | |
| dc.identifier | http://arxiv.org/abs/math/0405380 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71250 | |
| dc.subject | Geometric Topology | |
| dc.title | The complex of end reductions of a contractible open 3-manifold: constructing 1-dimensional examples | |
| dc.type | text |