Exact sequences and closed model categories

  1. Pinillos, M.G. 1
  2. Paricio, L.J.H. 1
  3. Rodríguez, M.T.R. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
Applied Categorical Structures

ISSN: 0927-2852

Año de publicación: 2010

Volumen: 18

Número: 4

Páginas: 343-375

Tipo: Artículo

DOI: 10.1007/S10485-008-9176-X SCOPUS: 2-s2.0-77956957618 WoS: WOS:000280087200001 GOOGLE SCHOLAR lock_openAcceso abierto editor

Otras publicaciones en: Applied Categorical Structures

Repositorio institucional: lockAcceso abierto Editor

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.