Homotopy theory of presheaves of simplicial groupoids

Details Homotopy theory of presheaves of simplicial groupoids Homotopy theory of presheaves of simplicial groupoids

2004-01-21

arxiv.org/abs/math/0401283v1

Mathematics

Algebraic Topology

34 pages

Scientific paper

We show that the category of presheaves of simplicial groupoids on a site
$\mathcal{C}$ is a right proper simplicial model category. We define $G$-torsor
of presheaf of 2-groupoids $G$, presheaf of simplicial groups $G$ and presheaf
of simplicial groupoids $G$ on a site $\mathcal{C}$ and classify $G$-torsors by
the homotopy classes $[\ast, \bar{W}G]$.

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