Spectral representations of topological groups and near-openly generated groupsстатья
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Дата последнего поиска статьи во внешних источниках: 7 июля 2020 г.
Аннотация:Near-openly generated groups are introduced. It is a topological and
multiplicative subclass of 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, lindeloff almost metrizable groups and the spaces
Cp(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.