Homology, Homotopy and Applications
Volume 11 (2009)
Homotopy theory of presheaves of Γ-spaces
Pages: 35 – 60
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.
model category; homotopy theory; simplicial presheaf; infinite loop space
2010 Mathematics Subject Classification
55P42, 55P43, 55P47, 55P48