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A Cartan-Eilenberg approach to homotopical algebra

Author
Guillén, F.; Navarro, V.; Pascual, P.; Roig, A.
Type of activity
Journal article
Journal
Journal of pure and applied algebra
Date of publication
2010
Volume
214
First page
140
Last page
164
Repository
http://hdl.handle.net/2117/20911 Open in new window
Abstract
In this paper we propose an approach to homotopical algebra w here the basic ingredient is a category with two classes of distinguished morphisms: s trong and weak equivalences. These data determine the cofibrant objects by an extension property ana logous to the classical lifting property of projective modules. We define a Cartan-Eilenberg categor y as a category with strong and weak equivalences such that there is an equivalence of categorie s between its localisation with respect to weak equi...
Citation
Guillén, F. [et al.]. A Cartan-Eilenberg approach to homotopical algebra. "Journal of pure and applied algebra", 2010, vol. 214, p. 140-164.
Group of research
GEOMVAP - Geometry of Manifolds and Applications

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