Topologically Torsion Elements of the Circle Group

DOI10.1080/00927872.2012.719055zbMath1291.22008OpenAlexW2049216161MaRDI QIDQ5409805

Daniele Impieri, Dikran Dikranjan

Publication date: 14 April 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2012.719055

zbMATH Keywords

circle grouptopologically torsion

Mathematics Subject Classification ID

Density, gaps, topology (11B05) General properties and structure of LCA groups (22B05)

Related Items (15)

Characterized subgroups of the circle group ⋮ Inclusions of characterized subgroups ⋮ Dirichlet sets vs characterized subgroups ⋮ Polish LCA groups are strongly characterizable ⋮ Some further remarks on characterized subgroups generated by modular simple density ⋮ Eggleston's dichotomy for characterized subgroups and the role of ideals ⋮ Reflexive group topologies on the integers generated by sequences ⋮ Generating subgroups of the circle using statistical convergence of order \(\alpha\) ⋮ Hausdorff measures of subgroups of \(\mathbb{R}/\mathbb{Z}\) and \(\mathbb{R}\) ⋮ Statistically characterized subgroups of the circle ⋮ Generating subgroups of the circle using a generalized class of density functions ⋮ On the Borel complexity of characterized subgroups ⋮ Solution of a general version of Armacost's problem on topologically torsion elements ⋮ Existence of an uncountable tower of Borel subgroups between the Prüfer group and the \(s\)-characterized group ⋮ Factorizable subgroups of the circle group

Cites Work

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• Characterizable groups: Some results and open questions
• On T-sequences and characterized subgroups
• Characterizing subgroups of compact Abelian groups
• Answer to Raczkowski's questions on convergent sequences of integers
• Totally bounded topological group topologies on the integers
• A characterization of the maximally almost periodic abelian groups
• Teoremi di completezza sulla frontiera di un dominio per taluni sistemi di funzioni
• Topological torsion related to some recursive sequences of integers
• Sous-groupes de IR liés à la répartition modulo 1 de suites
• Answer to Armacost's Quest on Topologically Torsion Elements of the Circle Group
• Good approximation and characterization of subgroups of R = Z

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