Answer to Armacost's Quest on Topologically Torsion Elements of the Circle Group

DOI10.1081/AGB-120027856zbMath1050.22007OpenAlexW2063297980MaRDI QIDQ4454160

Raffaele Di Santo, Dikran Dikranjan

Publication date: 7 March 2004

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

Full work available at URL: https://doi.org/10.1081/agb-120027856

zbMATH Keywords

topologically torsion

Mathematics Subject Classification ID

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

Related Items (18)

Characterized subgroups of the circle group ⋮ Characterizing subgroups of compact Abelian groups ⋮ Inclusions of characterized subgroups ⋮ Dirichlet sets vs characterized subgroups ⋮ Polish LCA groups are strongly characterizable ⋮ On T-sequences and characterized subgroups ⋮ A characterization of the circle group via uniqueness of roots ⋮ Reflexive group topologies on the integers generated by sequences ⋮ Characterizable groups: Some results and open questions ⋮ 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 ⋮ Topologically Torsion Elements of the Circle Group ⋮ Closure operators in topological groups related to von Neumann's kernel ⋮ 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 ⋮ Factorizable subgroups of the circle group

Cites Work

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• Answer to Raczkowski's questions on convergent sequences of integers
• Totally bounded topological group topologies on the integers

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