Codescent theory I: Foundations
| dc.creator | Balmer, Paul | |
| dc.creator | Matthey, Michel | |
| dc.date | 2003-06-11 | |
| dc.date | 2003-08-06 | |
| dc.date.accessioned | 2026-07-07T04:58:53Z | |
| dc.date.available | 2026-07-07T04:58:53Z | |
| dc.description | Consider a cofibrantly generated model category $S$, a small category $C$ and a subcategory $D$ of $C$. We endow the category $S^C$ of functors from $C$ to $S$ with a model structure, defining weak equivalences and fibrations objectwise but only on $D$. Our first concern is the effect of moving $C$, $D$ and $S$. The main notion introduced here is the ``$D$-codescent'' property for objects in $S^C$. Our long-term program aims at reformulating as codescent statements the Conjectures of Baum-Connes and Farrell-Jones, and at tackling them with new methods. Here, we set the grounds of a systematic theory of codescent, including pull-backs, push-forwards and various invariance properties. | |
| dc.description | 48 pages (minor changes in the presentation and the references) | |
| dc.identifier | https://arxiv.org/abs/math/0306179 | |
| dc.identifier | http://arxiv.org/abs/math/0306179 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67766 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Algebraic Topology | |
| dc.subject | Category Theory | |
| dc.title | Codescent theory I: Foundations | |
| dc.type | text |