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Axioms 2018, 7(4), 75; https://doi.org/10.3390/axioms7040075

Selective Survey on Spaces of Closed Subgroups of Topological Groups

Faculty of Computer Science and Cybernetics, Kyiv University, Academic Glushkov pr. 4d, 03680 Kyiv, Ukraine
Received: 8 October 2018 / Revised: 24 October 2018 / Accepted: 24 October 2018 / Published: 26 October 2018
(This article belongs to the Collection Topological Groups)
Full-Text   |   PDF [271 KB, uploaded 26 October 2018]

Abstract

We survey different topologizations of the set S ( G ) of closed subgroups of a topological group G and demonstrate some applications using Topological Groups, Model Theory, Geometric Group Theory, and Topological Dynamics. View Full-Text
Keywords: space of closed subgroups; Chabauty topology; Vietoris topology; Bourbaki uniformity space of closed subgroups; Chabauty topology; Vietoris topology; Bourbaki uniformity
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Protasov, I.V. Selective Survey on Spaces of Closed Subgroups of Topological Groups. Axioms 2018, 7, 75.

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