Spectres en diagramme dans les catégories modèles

Renaudin, Olivier

Bull. Belg. Math. Soc. Simon Stevin, Tome 12 (2006) no. 5, p. 1-30 / Harvested from Project Euclid

Résumé

We extend the notion of diagram spectra of M. A. Mandell, J. P. May, S. Schwede, B. Shipley to general model categories to obtain a stabilization process with respect to any set of objects. Following M. Hovey, we discuss the existence and some properties of diagram spectra, such as monoidal structures, invertibility, idempotency, homotopy invariance and functoriality. We end with some comparisons between categories of spectra associated to different diagrams.

Publié le : 2006-03-14
Classification: catégories modèles, stabilisation, spectres, 18G55, 55P42

@article{1148059328,
     author = {Renaudin, Olivier},
     title = {Spectres en diagramme dans les cat\'egories mod\`eles},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {12},
     number = {5},
     year = {2006},
     pages = { 1-30},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/1148059328}
}

Renaudin, Olivier. Spectres en diagramme dans les catégories modèles. Bull. Belg. Math. Soc. Simon Stevin, Tome 12 (2006) no. 5, pp.  1-30. http://gdmltest.u-ga.fr/item/1148059328/