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Homotopy sequence of a topological groupoid with a basegroup and an obstruction to presentability of proper regular Lie groupoids [Elektronski vir]
Jelenc, Blaž, 1981- ; Mrčun, Janez
A topological groupoid ▫$\mathscr{G}$▫ is ▫$K$▫-pointed, if it is equipped with a homomorphism from a topological group ▫$K$▫ to ▫$\mathscr{G}$▫. 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.
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