End reductions and covering spaces of contractible open 3-manifolds
| dc.creator | Myers, Robert | |
| dc.date | 2002-09-29 | |
| dc.date.accessioned | 2026-07-07T04:51:21Z | |
| dc.date.available | 2026-07-07T04:51:21Z | |
| dc.description | This paper uses Brin and Thickstun's theory of end reductions of non-compact 3-manifolds to study groups of covering translations of irreducible contractible open 3-manifolds W which are not homeomorphic to R^3. We associate to W an object S(W) called the simplicial complex of minimal R^2-irreducible end reductions of W. Whenever W covers another 3-manifold the group of covering translations is isomorphic to a fixed point free group of automorphisms of S(W). We apply this result to give uncountably many examples of R^2-irreducible such W which cover 3-manifolds with infinite cyclic fundamental group and non-trivially cover only 3-manifolds with infinite cyclic fundamental group. We also give uncountably many examples of R^2-irreducible W which are not eventually end irreducible and do not non-trivially cover any 3-manifold. | |
| dc.description | 58 pages, 10 figures | |
| dc.identifier | https://arxiv.org/abs/math/0209397 | |
| dc.identifier | http://arxiv.org/abs/math/0209397 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65113 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M10, 57N10 | |
| dc.title | End reductions and covering spaces of contractible open 3-manifolds | |
| dc.type | text |