Characterizable groups: Some results and open questions

DOI10.1016/j.topol.2011.11.060zbMath1245.22005OpenAlexW2052834753MaRDI QIDQ429329

Saak S. Gabriyelyan

Publication date: 19 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.11.060

zbMATH Keywords

characterized subgroupPolish groupcharacterizable subgroupg-closed subgroupT-sequence, TB-sequencetopological torsion element

Mathematics Subject Classification ID

Representations of general topological groups and semigroups (22A25) Measures on groups and semigroups, etc. (43A05) Analysis on general topological groups (22A10) Measure algebras on groups, semigroups, etc. (43A10)

Related Items (18)

Characterized subgroups of the circle group ⋮ Topological properties of the group of the null sequences valued in an abelian topological group ⋮ On the Mackey topology for abelian topological groups and locally convex spaces ⋮ Characterized subgroups of topological abelian groups ⋮ Inclusions of characterized subgroups ⋮ Dirichlet sets vs characterized subgroups ⋮ On characterized subgroups of compact abelian groups ⋮ Polish LCA groups are strongly characterizable ⋮ Reflexive group topologies on the integers generated by sequences ⋮ Generating subgroups of the circle using statistical convergence of order \(\alpha\) ⋮ Statistically characterized subgroups of the circle ⋮ On Hewitt groups and finer locally compact group topologies ⋮ Topologically Torsion Elements of the Circle Group ⋮ 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 ⋮ On \(T\)-characterized subgroups of compact abelian groups

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