Covering groups of non-connected topological groups revisited
| dc.creator | Brown, R. | |
| dc.creator | Mucuk, O. | |
| dc.date | 2000-09-02 | |
| dc.date | 2006-12-18 | |
| dc.date.accessioned | 2026-07-07T07:35:38Z | |
| dc.date.available | 2026-07-07T07:35:38Z | |
| dc.description | In general a universal covering of a non connected topological group need not admit a topological group structure such that the covering map is a morphism of topological groups. This result is due to R.L. Taylor (1953). We generalise this result and relate it to the theory of obstructions to group extensions. The methods use: the equivalence between covering maps of X and covering groupoids of the fundamental groupoid of X; the equivalence between group groupoids and crossed modules; and descriptions of cohomology in terms of crossed complexes. | |
| dc.description | 13 pages, A4, Paul Taylors' diagrams. archived here for availability Some improvements to diagrams and new and updated references | |
| dc.identifier | https://arxiv.org/abs/math/0009021 | |
| dc.identifier | http://arxiv.org/abs/math/0009021 | |
| dc.identifier | Math. Proc. Camb. Phil. Soc. 115 (1994) 97-110 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120160 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Category Theory | |
| dc.subject | 22A05 (18G55 20J05 20L10 20L17) | |
| dc.title | Covering groups of non-connected topological groups revisited | |
| dc.type | text |