Etale realization on the A^1-homotopy theory of schemes
| dc.creator | Isaksen, Daniel C. | |
| dc.date | 2001-06-19 | |
| dc.date | 2003-02-10 | |
| dc.date.accessioned | 2026-07-07T04:42:13Z | |
| dc.date.available | 2026-07-07T04:42:13Z | |
| dc.description | We compare Friedlander's definition of the etale topological type for simplicial schemes to another definition involving realizations of pro-simplicial sets. This can be expressed as a notion of hypercover descent for etale homotopy. We use this result to construct a homotopy invariant functor from the category of simplicial presheaves on the etale site of schemes over S to the category of pro-spaces. After completing away from the characteristics of the residue fields of S, we get a functor from the Morel-Voevodsky A^1-homotopy category of schemes to the homotopy category of pro-spaces. | |
| dc.identifier | https://arxiv.org/abs/math/0106158 | |
| dc.identifier | http://arxiv.org/abs/math/0106158 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61688 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Algebraic Topology | |
| dc.subject | 14F42 (primary), 14F35 (secondary) | |
| dc.title | Etale realization on the A^1-homotopy theory of schemes | |
| dc.type | text |