标题： 拓扑群胚的同伦序列与具有基群的适当正则李群胚的表示性障碍 显示英文标题

标题： Homotopy sequence of a topological groupoid with a basegroup and an obstruction to presentability of proper regular Lie groupoids

摘要： 一个拓扑群胚 G 如果配备了从拓扑群 K 到 G 的同态，则称为 K-指向的。我们描述了这类 K-指向的拓扑群胚的同伦群，并通过一个长正合序列将这些群与普通的同伦群联系起来。作为应用，我们给出了一个阻碍，用于判断恰当的正则李群胚是否可表示。 显示英文摘要

摘要： 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.