Spectral representations of topological groups and near-openly generated\n groups

2018/10/12 by Vesko Valov, Valov, Vesko, К. В. Козлов +1
Computer Science · Mathematics · #22A25 54H11 #Advanced Mathematical Modeling in Engineering #Advanced Topology and Set Theory #FOS: Mathematics #Group Theory (math.GR) #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1810.05613

openalex publication_date 2018/10/12 · openalex created_date 2022/08/02 · openalex updated_date 2026/07/28

Abstract

Near-openly generated groups are introduced. It is a topological and\nmultiplicative subclass of mathbb R-factorizable groups. Dense and open\nsubgroups, quotients and Raikov completion of a near-openly generated group are\nnear-openly generated. Almost connected pro-Lie groups, lindel " off almost\nmetrizable groups and the spaces C_p(X) of all continuous real-valued\nfunctions on a Tychonoff space X with pointwise convergence topology are\nnear-openly generated.\n We provide characterizations of near-openly generated groups using methods of\ninverse spectra and topological game theory.\n

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