Homotopy sequence of a topological groupoid with a basegroup and an obstruction to presentability of proper regular Lie groupoids
Tóm tắt
A topological groupoid
$$\fancyscript{G}$$
is
$$K$$
-pointed, if it is equipped with a homomorphism from a topological group
$$K$$
to
$$\fancyscript{G}$$
. 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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