On lifting stable diagrams in Frobenius categories
| dc.creator | Kuenzer, Matthias | |
| dc.date | 2005-09-03 | |
| dc.date | 2006-11-06 | |
| dc.date.accessioned | 2026-07-07T06:42:54Z | |
| dc.date.available | 2026-07-07T06:42:54Z | |
| dc.description | Suppose given a Frobenius category E, i.e. an exact category with a big enough subcategory B of bijectives. Let_E_ := E/B denote its classical stable category. For example, we may take E to be the category of complexes C(A) with entries in an additive category A, in which case_E_ is the homotopy category of complexes K(A). Suppose given a finite poset D that satisfies the combinatorial condition of being ind-flat. Then, given a diagram of shape D with values in_E_ (i.e. commutative up to homotopy), there exists a diagram consisting of pure monomorphisms with values in E (i.e. commutative) that is isomorphic, as a diagram with values in_E_, to the given diagram. | |
| dc.description | Added discussion of the connection to related work of Cooke, Dwyer-Kan-Smith and Mitchell. To appear in Homology, Homotopy and Applications | |
| dc.identifier | https://arxiv.org/abs/math/0509056 | |
| dc.identifier | http://arxiv.org/abs/math/0509056 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102218 | |
| dc.subject | Category Theory | |
| dc.subject | 18E10 | |
| dc.title | On lifting stable diagrams in Frobenius categories | |
| dc.type | text |