Characterized subgroups of the circle group
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Publication:1623048
DOI10.1007/S11587-018-0393-9zbMath1405.54017OpenAlexW2801686733WikidataQ129952481 ScholiaQ129952481MaRDI QIDQ1623048
Anna Giordano Bruno, Dikran Dikranjan, Raffaele Di Santo
Publication date: 22 November 2018
Published in: Ricerche di Matematica (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/11390/1141925
surveyabelian groupcircle groupcharacterized subgroup\(T\)-sequencearithmetic sequenceDirichlet set\({TB}\)-sequenceArbault setfactorizable subgroupprecompact group topologytopologically \(\mathbf {u}\)-torsion
Topological groups (topological aspects) (54H11) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Distribution modulo one (11J71) Analysis on general topological groups (22A10) Research exposition (monographs, survey articles) pertaining to general topology (54-02) Topological methods for abelian groups (20K45) Character groups and dual objects (43A40)
Related Items (14)
On a new class of trigonometric thin sets extending Arbault sets ⋮ Statistically characterized subgroups of the circle. II: Continued fractions ⋮ 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 ⋮ Unnamed Item ⋮ Generating subgroups of the circle using statistical convergence of order \(\alpha\) ⋮ Statistically characterized subgroups of the circle ⋮ Generating subgroups of the circle using a generalized class of density functions ⋮ Solution of a general version of Armacost's problem on topologically torsion elements ⋮ Rigidity sequences, Kazhdan sets and group topologies on the integers ⋮ On characterized subgroups of \(\mathbb{R}\) and \(\mathbb{R}/\mathbb{Z}\) ⋮ Existence of an uncountable tower of Borel subgroups between the Prüfer group and the \(s\)-characterized group ⋮ Factorizable subgroups of the circle group
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