Splitting Monoidal Stable Model Categories
| dc.creator | Barnes, David | |
| dc.date | 2008-12-01 | |
| dc.date.accessioned | 2026-07-07T12:08:18Z | |
| dc.date.available | 2026-07-07T12:08:18Z | |
| dc.description | If C is a stable model category with a monoidal product then the set of homotopy classes of self-maps of the unit S forms a commutative ring. An idempotent e of this ring will split the homotopy category. We prove that provided the localised model structures exist, this splitting of the homotopy category comes from a splitting of the model category, that is, C is Quillen equivalent to the product of C localised at the object eS and C localised at the object (1-e)S. This Quillen equivalence is strong monoidal and is symmetric when the monoidal product of C is. | |
| dc.description | 19 pages. To appear in the Journal of Pure and Applied Algebra | |
| dc.identifier | https://arxiv.org/abs/0812.0313 | |
| dc.identifier | http://arxiv.org/abs/0812.0313 | |
| dc.identifier | doi:10.1016/j.jpaa.2008.10.004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209269 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55N91; 55P42 | |
| dc.title | Splitting Monoidal Stable Model Categories | |
| dc.type | text |