Serre fibrations in the Morita category of topological groupoids

Details Serre fibrations in the Morita category of topological groupoids Serre fibrations in the Morita category of topological groupoids

2011-08-26

arxiv.org/abs/1108.5284v1

Mathematics

Differential Geometry

19 pages

Scientific paper

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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