Open Access
March 2006 Spectres en diagramme dans les catégories modèles
Olivier Renaudin
Bull. Belg. Math. Soc. Simon Stevin 13(1): 1-30 (March 2006). DOI: 10.36045/bbms/1148059328

Abstract

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.

Citation

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Olivier Renaudin. "Spectres en diagramme dans les catégories modèles." Bull. Belg. Math. Soc. Simon Stevin 13 (1) 1 - 30, March 2006. https://doi.org/10.36045/bbms/1148059328

Information

Published: March 2006
First available in Project Euclid: 19 May 2006

zbMATH: 1123.18011
Digital Object Identifier: 10.36045/bbms/1148059328

Subjects:
Primary: 18G55 , 55P42

Keywords: catégories modèles , spectres , stabilisation

Rights: Copyright © 2006 The Belgian Mathematical Society

Vol.13 • No. 1 • March 2006
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