2004/01/21 by Zhiming Luo, Zhi-Ming Luo, Luo, Zhi-Ming
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.AT #math.CT #msc:55P15 #msc:55U35
paper · pdf · doi:10.48550/arxiv.math/0401283
34 pages
arxiv created 2004/01/21 · arxiv updated 2009/12/01
We show that the category of presheaves of simplicial groupoids on a site 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 C and classify G-torsors by the homotopy classes [∗, WG].