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2009 Homotopy theory of presheaves of Γ-spaces
Håkon Schad Bergsaker
Homology Homotopy Appl. 11(1): 35-60 (2009).

Abstract

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.

Citation

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Håkon Schad Bergsaker. "Homotopy theory of presheaves of Γ-spaces." Homology Homotopy Appl. 11 (1) 35 - 60, 2009.

Information

Published: 2009
First available in Project Euclid: 1 September 2009

zbMATH: 1160.55007
MathSciNet: MR2486652

Subjects:
Primary: 55P42, 55P43, 55P47, 55P48

Rights: Copyright © 2009 International Press of Boston

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Vol.11 • No. 1 • 2009
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