Spectral representations of topological groups and near-openly generated groups

Vesko Valov; Konstantin Kozlov

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arXiv · 1810.05613

Spectral representations of topological groups and near-openly generated groups

Vesko Valov·Konstantin Kozlov

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Abstract

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

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BibTeX RIS

Vesko Valov, Konstantin Kozlov. 2018-10-12. Spectral representations of topological groups and near-openly generated groups. https://arxiv.org/abs/1810.05613

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