Selective survey on spaces of closed subgroups of topological groups

Abstract

We survey different topologizations of the set $\mathcal{S}(G)$ of all closed subgroups of a topological group $G$ and demonstrate some applications in Topological Grous, Model Theory, Geometric Group Theory, Topological Dynamics.

Keywords: space of closed subgroups, Chabauty topology, Vietoris topology, Bourbaki uniformity

References in corpus (1)

• The space of closed subgroups of $R^n$