Cofibrations in Homotopy Theory

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We define Anderson-Brown-Cisinski (ABC) cofibration categories, and construct homotopy colimits of diagrams of objects in ABC cofibration categories. Homotopy colimits for Quillen model categories are obtained as a particular case. We attach to each ABC cofibration category a left Heller derivator. A dual theory is developed for homotopy limits in ABC fibration categories and for right Heller derivators. These constructions provide a natural framework for 'doing homotopy theory' in ABC (co)fibration categories.
Ams-latex, 158 pages. Corrections to Thm. 6.4.1 and Def. 7.2.5

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Algebraic Topology, K-Theory and Homology, 18G55, 55U35, 18G10, 18G30, 55U10

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http://salesiana.dossiersoluciones.com/handle/123456789/218787

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610009
 http://arxiv.org/abs/math/0610009

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arXiv