Selective survey on spaces of closed subgroups of topological groups

2018/09/01 by Ігор Протасов, Protasov, Igor V.
Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1809.00139

openalex publication_date 2018/09/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We survey different topologizations of the set 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.

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