A Functor Converting Equivariant Homology to Homotopy
| dc.creator | Nie, Zhaohu | |
| dc.date | 2006-03-18 | |
| dc.date | 2007-08-01 | |
| dc.date.accessioned | 2026-07-07T08:21:25Z | |
| dc.date.available | 2026-07-07T08:21:25Z | |
| dc.description | In this paper, we prove an equivariant version of the classical Dold-Thom theorem. Associated to a finite group, a CW-complex on which this group acts and a covariant coefficient system in the sense of Bredon, we functorially construct a topological abelian group by the coend construction. Then we prove that the homotopy groups of this topological abelian group are naturally isomorphic to the Bredon equivariant homology of the CW-complex. At the end we present several examples of this result. | |
| dc.description | 11 pages. Major style change. The final published version | |
| dc.identifier | https://arxiv.org/abs/math/0603455 | |
| dc.identifier | http://arxiv.org/abs/math/0603455 | |
| dc.identifier | Bulletin of the London Mathematical Society 2007 39(3): 499-508 | |
| dc.identifier | doi:10.1112/blms/bdm029 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135352 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55N91 | |
| dc.title | A Functor Converting Equivariant Homology to Homotopy | |
| dc.type | text |