Hypercovers and simplicial presheaves
| dc.creator | Dugger, Daniel | |
| dc.creator | Hollander, Sharon | |
| dc.creator | Isaksen, Daniel C. | |
| dc.date | 2002-05-02 | |
| dc.date | 2003-06-20 | |
| dc.date.accessioned | 2026-07-07T04:48:14Z | |
| dc.date.available | 2026-07-07T04:48:14Z | |
| dc.description | We prove that Jardine's model category of simplicial presheaves can be obtained by localizing the `discrete' version at the collection of all hypercovers. One consequence is that the fibrant objects can be explicitly identified in terms of a hypercover descent condition. Another is a very simple approach to change-of-site functors. In an appendix, we discuss how this hypercover localization compares to the more naive process of localizing at the Cech complexes; the two are not the same in general, but agree in some cases of interest. | |
| dc.description | Revision has updated references, extra material on fibrations | |
| dc.identifier | https://arxiv.org/abs/math/0205027 | |
| dc.identifier | http://arxiv.org/abs/math/0205027 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63969 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55U35,18F20 | |
| dc.title | Hypercovers and simplicial presheaves | |
| dc.type | text |