%0 Journal Article %T Homotopy sequence of a topological groupoid with a basegroup and an obstruction to presentability of proper regular Lie groupoids %A B. Jelenc %A J. Mrcun %J Mathematics %D 2012 %I arXiv %X 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 groupoids and relate these groups to the ordinary homotopy groups in terms of a long exact sequence. As an application, we give an obstruction to presentability of proper regular Lie groupoids. %U http://arxiv.org/abs/1206.5763v3