A discrete model of $S^1$-homotopy theory
| dc.creator | Blumberg, Andrew J. | |
| dc.date | 2004-11-09 | |
| dc.date.accessioned | 2026-07-07T05:14:06Z | |
| dc.date.available | 2026-07-07T05:14:06Z | |
| dc.description | We construct a discrete model of the homotopy theory of $S^1$-spaces. We define a category $\sP$ with objects composed of a simplicial set and a cyclic set along with suitable compatibility data. $\sP$ inherits a model structure from the model structures on the categories of simplicial sets and cyclic sets. We then show that there is a Quillen equivalence between $\sP$ and the model category of $S^1$-spaces in which weak equivalences and fibrations are maps inducing weak equivalences and fibrations on passage to all fixed point sets. | |
| dc.identifier | https://arxiv.org/abs/math/0411183 | |
| dc.identifier | http://arxiv.org/abs/math/0411183 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73151 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P91 (Primary), 18G55 (Secondary) | |
| dc.title | A discrete model of $S^1$-homotopy theory | |
| dc.type | text |