Factorizable subgroups of the circle group

DOI10.1016/j.topol.2022.108283OpenAlexW4304013932MaRDI QIDQ2105044

Giuseppina Barbieri, Dikran Dikranjan, Anna Giordano Bruno, Hans Weber

Publication date: 8 December 2022

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2022.108283

zbMATH Keywords

circle groupcharacterized subgrouparithmetic sequencefactorizable subgroup\(a\)-sequence of integers

Mathematics Subject Classification ID

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)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Linear topologies on \(\mathbb Z\) are not Mackey topologies
• Limits in function spaces and compact groups
• Ken and the Bohr topology
• Limits in compact Abelian groups
• Characterizing subgroups of compact Abelian groups
• Characterizations of groups generated by Kronecker sets
• Answer to Raczkowski's questions on convergent sequences of integers
• Characterized subgroups of the circle group
• A characterization of the maximally almost periodic abelian groups
• 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
• Generating subgroups of the circle using statistical convergence of order \(\alpha\)
• Characterized subgroups of topological abelian groups
• Dirichlet sets vs characterized subgroups
• Sequences and filters of characters characterizing subgroups of compact Abelian groups
• Sur les groupes topologiques localement compacts
• Dirichlet sets, Erdős-Kunen-Mauldin theorem, and analytic subgroups of the reals
• Statistically characterized subgroups of the circle
• Topological torsion related to some recursive sequences of integers
• Sous-groupes de IR liés à la répartition modulo 1 de suites
• Some additive properties of sets of real numbers
• Sur certains sous-groupes de ℝ liés à la suite des factorielles
• Answer to Armacost's Quest on Topologically Torsion Elements of the Circle Group
• Good approximation and characterization of subgroups of R = Z
• Abelian Groups
• Topologically Torsion Elements of the Circle Group

This page was built for publication: Factorizable subgroups of the circle group