Characterizing sequences for precompact group topologies

DOI10.1016/j.jmaa.2013.10.047zbMath1308.54023arXiv1206.0587OpenAlexW2963567606MaRDI QIDQ2019123

Dikran Dikranjan, Saak S. Gabriyelyan, Vazha Tarieladze

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.0587

zbMATH Keywords

characterized subgroup\(T\)-sequence\(TB\)-sequencecharacterizing sequenceprecompact group topology\(B\)-embedded subgroupfinest precompact extension

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11)

Related Items (17)

Characterized subgroups of the circle group ⋮ On the Mackey topology for abelian topological groups and locally convex spaces ⋮ The Mackey topology problem: a complete solution for bounded 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 ⋮ Report on the open problems session ⋮ Non metrizable topologies on Z with countable dual group. ⋮ \(\mathbb{Q}\) is not a Mackey group ⋮ On reflexivity of the group of the null sequences valued in an abelian topological group ⋮ On the Borel complexity of characterized subgroups ⋮ Precompact groups and convergence ⋮ On convergent sequences in dual groups ⋮ On \(T\)-characterized subgroups of compact abelian groups ⋮ Mackey groups and Mackey topologies

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