The Bing-Borsuk and the Busemann Conjectures
| dc.creator | Halverson, Denise M. | |
| dc.creator | Repovš, Dušan | |
| dc.date | 2008-11-06 | |
| dc.date | 2009-01-10 | |
| dc.date.accessioned | 2026-07-07T12:27:45Z | |
| dc.date.available | 2026-07-07T12:27:45Z | |
| dc.description | We present two classical conjectures concerning the characterization of manifolds: the Bing Borsuk Conjecture asserts that every $n$-dimensional homogeneous ANR is a topological $n$-manifold, whereas the Busemann Conjecture asserts that every $n$-dimensional $G$-space is a topological $n$-manifold. The key object in both cases are so-called {\it generalized manifolds}, i.e. ENR homology manifolds. We look at the history, from the early beginnings to the present day. We also list several open problems and related conjectures. | |
| dc.description | We have corrected three small typos on pages 8 and 9 | |
| dc.identifier | https://arxiv.org/abs/0811.0886 | |
| dc.identifier | http://arxiv.org/abs/0811.0886 | |
| dc.identifier | Math. Comm. 13:2 (2008), 163-184 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215314 | |
| dc.subject | Geometric Topology | |
| dc.subject | Differential Geometry | |
| dc.subject | 57N15; 57N75; 57P99; 53C70 | |
| dc.title | The Bing-Borsuk and the Busemann Conjectures | |
| dc.type | text |