The nonabelian bar resolution
| dc.creator | Ionescu, Lucian M. | |
| dc.date | 2001-08-21 | |
| dc.date.accessioned | 2026-07-07T04:43:04Z | |
| dc.date.available | 2026-07-07T04:43:04Z | |
| dc.description | The theory of parity quasi-complexes (PQC) is developed, preparing a set up for defining derived functors using resolutions in the nonabelian case. A homotopy structure on the category of PQC is defined, yielding a 2-category structure. The nonabelian homology functor factors through the corresponding homotopy category. Following the relative homological algebra approach, resolutions are defined as PQC having parity contracting homotopies in a suitable category. A canonical non-abelian PQC resolution for groups is defined. | |
| dc.description | AMS-LaTex, 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0108147 | |
| dc.identifier | http://arxiv.org/abs/math/0108147 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62059 | |
| dc.subject | Category Theory | |
| dc.subject | Group Theory | |
| dc.subject | 18G55 (Primary) 18G10, 18G25 (Secondary) | |
| dc.title | The nonabelian bar resolution | |
| dc.type | text |