Article ID Journal Published Year Pages File Type
4658974 Topology and its Applications 2013 15 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology