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.
Publié le : 2009-05-15
Classification:
Model category,
homotopy theory,
simplicial presheaf,
infinite loop space,
55P47,
55P42,
55P43,
55P48
@article{1251832559,
author = {Bergsaker, H\aa kon Schad},
title = {Homotopy theory of presheaves of $\Gamma$-spaces},
journal = {Homology Homotopy Appl.},
volume = {11},
number = {1},
year = {2009},
pages = { 35-60},
language = {en},
url = {http://dml.mathdoc.fr/item/1251832559}
}
Bergsaker, Håkon Schad. Homotopy theory of presheaves of Γ-spaces. Homology Homotopy Appl., Tome 11 (2009) no. 1, pp. 35-60. http://gdmltest.u-ga.fr/item/1251832559/