Fibred sites and stack cohomology
| dc.creator | Jardine, J. F. | |
| dc.date | 2004-06-23 | |
| dc.date.accessioned | 2026-07-07T05:09:31Z | |
| dc.date.available | 2026-07-07T05:09:31Z | |
| dc.description | The usual notion of a site fibred over a stack is expanded to a definition of a site C/A fibred over a presheaf of categories A. Presheaves of simplicial sets on the site fibred over a presheaf of categories A are contravariant enriched diagrams defined on A, taking values in simplicial sets. The standard model structure for presheaves of simplicial sets induces a coarse equivariant structure for enriched contravariant A-diagrams. If the presheaf of categories is a presheaf of groupoids G, then the associated homotopy theory is Quillen equivalent to the homotopy theory of simplicial presheaves over BG, and so the homotopy theory for the fibred site C/G is an invariant of the homotopy type of G. Similar homotopy invariance results obtain for presheaves of spectra and presheaves of symmetric spectra on C/G. In particular, stack cohomology can be calculated on the fibred site for a representing presheaf of groupoids. | |
| dc.description | 38 pages | |
| dc.identifier | https://arxiv.org/abs/math/0406483 | |
| dc.identifier | http://arxiv.org/abs/math/0406483 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71655 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Algebraic Geometry | |
| dc.subject | K-Theory and Homology | |
| dc.title | Fibred sites and stack cohomology | |
| dc.type | text |