Serre fibrations in the Morita category of topological groupoids

2011/08/26 by Blaz Jelenc, Jelenc, Blaz
Mathematics · #22A22 #53C12 #55Q05 #57T20 #58H05 #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #math.AT #math.DG #msc:22A22 #msc:53C12 #msc:55Q05 #msc:57T20 #msc:58H05

paper · pdf · doi:10.48550/arxiv.1108.5284

19 pages

arxiv created 2011/08/26 · arxiv updated 2011/08/29

Abstract

In this paper, we generalize the notion of Serre fibration to the Morita category of topological groupoids and derive the associated long exact sequence of homotopy groups. We use this results for calculation of homotopy groups of various groupoids, such as the foliation groupoid of a Riemannian foliation.

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