Exact sequences and closed model categories
- Pinillos, M.G. 1
- Paricio, L.J.H. 1
- Rodríguez, M.T.R. 1
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1
Universidad de La Rioja
info
ISSN: 0927-2852
Año de publicación: 2010
Volumen: 18
Número: 4
Páginas: 343-375
Tipo: Artículo
Otras publicaciones en: Applied Categorical Structures
Resumen
For every closed model category with zero object, Quillen gave the construction of Eckman-Hilton and Puppe sequences. In this paper, we remove the hypothesis of the existence of zero object and construct (using the category over the initial object or the category under the final object) these sequences for unpointed model categories. We illustrate the power of this result in abstract homotopy theory given some interesting applications to group cohomology and exterior homotopy groups.