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math.DG2012
Homotopy sequence of a topological groupoid with a basegroup and an obstruction to presentability of proper regular Lie groupoids
B. Jelenc, J. Mrcun
A topological groupoid G is K-pointed, if it is equipped with a homomorphism from a topological group K to G. We describe the homotopy groups of such K-pointed topological groupoid…
math.DG2011
Serre fibrations in the Morita category of topological groupoids
Blaz Jelenc
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…