On characterized subgroups of compact abelian groups
From MaRDI portal
Publication:386864
DOI10.1016/j.topol.2013.07.037zbMath1280.22003OpenAlexW2020693493MaRDI QIDQ386864
Dikran Dikranjan, Saak S. Gabriyelyan
Publication date: 11 December 2013
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.topol.2013.07.037
Borel hierarchycharacterized subgroup\(T\)-sequence\(TB\)-sequenceČech-complete topologyPolish topology
Topological groups (topological aspects) (54H11) Measures on groups and semigroups, etc. (43A05) Analysis on general topological groups (22A10) Character groups and dual objects (43A40)
Related Items (13)
Characterized subgroups of the circle group ⋮ Characterized subgroups of topological abelian groups ⋮ Inclusions of characterized subgroups ⋮ Dirichlet sets vs characterized subgroups ⋮ Polish LCA groups are strongly characterizable ⋮ Reflexive group topologies on the integers generated by sequences ⋮ A survey on reflexivity of abelian topological groups ⋮ Statistically characterized subgroups of the circle ⋮ On Hewitt groups and finer locally compact group topologies ⋮ Characterizing sequences for precompact group topologies ⋮ On the Borel complexity of characterized subgroups ⋮ On convergent sequences in dual groups ⋮ On \(T\)-characterized subgroups of compact abelian groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Characterizable groups: Some results and open questions
- Groups of quasi-invariance and the Pontryagin duality
- On T-sequences and characterized subgroups
- Characterization of almost maximally almost-periodic groups
- Characterizing subgroups of compact Abelian groups
- Strong characterizing sequences for subgroups of compact groups
- Characterizations of groups generated by Kronecker sets
- Answer to Raczkowski's questions on convergent sequences of integers
- Ergodic group rotations, Hartman sets and Kronecker sequences
- Totally bounded topological group topologies on the integers
- A characterization of the maximally almost periodic abelian groups
- Strong characterizing sequences in simultaneous Diophantine approximation.
- Characterizing sequences for precompact group topologies
- On \(T\)-characterized subgroups of compact abelian groups
- Sequences and filters of characters characterizing subgroups of compact Abelian groups
- Closure operators in topological groups related to von Neumann's kernel
- Reflexive group topologies on Abelian groups
- Topological torsion related to some recursive sequences of integers
- Sous-groupes de IR liés à la répartition modulo 1 de suites
- A Convergence Problem Connected with Continued Fractions
- Good approximation and characterization of subgroups of R = Z
- Good Approximations and Continued Fractions
- Topologies induced by groups of characters
- Construction of group topologies on abelian groups
- Induced Flows
- Topologically Complete Groups
- Making group topologies with, and without, convergent sequences
- Sets of Fractional Dimensions which Occur in Some Problems of Number Theory
This page was built for publication: On characterized subgroups of compact abelian groups
