The nonabelian bar resolution

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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.
AMS-LaTex, 9 pages

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Category Theory, Group Theory, 18G55 (Primary) 18G10, 18G25 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/62059

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0108147
 http://arxiv.org/abs/math/0108147

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arXiv