Homotopy theory of presheaves of Γ-spaces
Homology, homotopy, and applications, Tome 11 (2009) no. 1, pp. 35-60.

Voir la notice de l'article provenant de la source International Press of Boston

We consider the category of presheaves of Γ-spaces, or equivalently, of Γ-objects in simplicial presheaves. Our main result is the construction of stable model structures on this category parametrised by local model structures on simplicial presheaves. If a local model structure on simplicial presheaves is monoidal, then the corresponding stable model structure on presheaves of Γ-spaces is monoidal and satisfies the monoid axiom. This allows us to lift the stable model structures to categories of algebras and modules over a monoid.
DOI : 10.4310/HHA.2009.v11.n1.a3
Classification : 55P42, 55P43, 55P47, 55P48
Keywords: model category, homotopy theory, simplicial presheaf, infinite loop space
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Håkon Schad Bergsaker. Homotopy theory of presheaves of Γ-spaces. Homology, homotopy, and applications, Tome 11 (2009) no. 1, pp. 35-60. doi : 10.4310/HHA.2009.v11.n1.a3. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2009.v11.n1.a3/

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