Selective survey on spaces of closed subgroups of topological groups
General Topology
2018-09-05 v1
Abstract
We survey different topologizations of the set of all closed subgroups of a topological group and demonstrate some applications in Topological Grous, Model Theory, Geometric Group Theory, Topological Dynamics.
Cite
@article{arxiv.1809.00139,
title = {Selective survey on spaces of closed subgroups of topological groups},
author = {Igor V. Protasov},
journal= {arXiv preprint arXiv:1809.00139},
year = {2018}
}
Comments
Keywords: space of closed subgroups, Chabauty topology, Vietoris topology, Bourbaki uniformity