On characterized subgroups of \(\mathbb{R}\) and \(\mathbb{R}/\mathbb{Z}\)

DOI10.1007/s11587-019-00470-yzbMath1504.22003OpenAlexW2987723578MaRDI QIDQ2054782

Yanyan Li

Publication date: 3 December 2021

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-019-00470-y

zbMATH Keywords

totally bounded group topologiescharacterized subgroupsconvergence modulo 1 of real sequencesweak inclusion

Mathematics Subject Classification ID

General theory of distribution modulo (1) (11K06) Analysis on general topological groups (22A10) Character groups and dual objects (43A40)

Cites Work

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• Hausdorff measures of subgroups of \(\mathbb{R}/\mathbb{Z}\) and \(\mathbb{R}\)
• Answer to Raczkowski's questions on convergent sequences of integers
• Characterized subgroups of the circle group
• Inclusions of characterized subgroups
• Dirichlet sets vs characterized subgroups
• Statistically characterized subgroups of the circle
• Sous-groupes de IR liés à la répartition modulo 1 de suites
• Topologies induced by groups of characters
• Zur Bohr-Konvergenz von Folgen.
• Sets of Fractional Dimensions which Occur in Some Problems of Number Theory

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