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arXiv:0805.1529 [math.AT]AbstractReferencesReviewsResources

Homotopy theory of presheaves of Gamma-spaces

Håkon S. Bergsaker

Published 2008-05-12Version 1

We consider the category of presheaves of Gamma-spaces, or equivalently, of Gamma-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, the corresponding stable model structure on presheaves of Gamma-spaces is monoidal and satisfies the monoid axiom. This allows us to lift the stable model structures to categories of algebras and modules over commutative algebras.

Comments: 33 pages, LaTeX
Categories: math.AT
Subjects: 55P47, 55P42, 55P43, 55P48
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