A Proof of the Hilbert-Smith Conjecture
| dc.creator | McAuley, Louis F. | |
| dc.date | 2001-03-29 | |
| dc.date | 2001-12-07 | |
| dc.date.accessioned | 2026-07-07T04:40:51Z | |
| dc.date.available | 2026-07-07T04:40:51Z | |
| dc.description | The Hilbert-Smith Conjecture states that if G is a locally compact group which acts effectively on a connected manifold as a topological transformation group, then G is a Lie group. A rather straightforward proof of this conjecture is given. The motivation is work of Cernavskii (``Finite-to-one mappings of manifolds'', Trans. of Math. Sk. 65 (107), 1964.) His work is generalized to the orbit map of an effective action of a p-adic group on compact connected n-manifolds with the aid of some new ideas. There is no attempt to use Smith Theory even though there may be similarities. | |
| dc.description | A few minors changes have been made on pages 6, 8, 19-20, 26, 28, 34 to make the paper easier to read | |
| dc.identifier | https://arxiv.org/abs/math/0103215 | |
| dc.identifier | http://arxiv.org/abs/math/0103215 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61172 | |
| dc.subject | Geometric Topology | |
| dc.title | A Proof of the Hilbert-Smith Conjecture | |
| dc.type | text |