At the lecture, we presented some interesting examples of topological groupoids and illustrated the meaning of the notion of Morita equivalence between them. Next, we looked at few algebraic Morita invariants of topological groupoids. In particular, we have seen that the notion of fundamental group of a topological space can be extended to topological groupoids, and how this extension enables us to see the fundamental group of a topological space from a new perspective.
B.04 Guest lecture
COBISS.SI-ID: 16100441It is well known that the property of being homotopically Hausdorff is a necessary condition for the existence of the universal covering space. In this talk we present a homotopically Hausdorff space which does not admit the universal covering space, hence proving that the condition above is not sufficient.
B.03 Paper at an international scientific conference
COBISS.SI-ID: 15931993