The Mackey topology problem: a complete solution for bounded groups

DOI10.1016/j.topol.2017.02.040zbMath1379.22001OpenAlexW2586300843MaRDI QIDQ2400862

Dikran Dikranjan, Lydia Außenhofer

Publication date: 30 August 2017

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

Full work available at URL: https://doi.org/10.1016/j.topol.2017.02.040

zbMATH Keywords

locally quasi-convex topologyMackey topologybounded abelian groupprecompact topologybounded torsion group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) General structure theorems for groups (20E34) Topological methods for abelian groups (20K45) Character groups and dual objects (43A40)

Related Items (6)

Locally quasi-convex compatible topologies on locally compact abelian groups ⋮ Compatible group topologies on a locally quasi-convex abelian group and the Mackey group problem ⋮ The group \(\mathbb{Z}^{( \mathbb{N})}\) does not have a Mackey topology ⋮ ``Varopoulos paradigm: Mackey property versus metrizability in topological groups ⋮ On the non-existence of the Mackey topology for locally quasi-convex groups ⋮ Mackey groups and Mackey topologies

Cites Work

• Mackey topology on locally convex spaces and on locally quasi-convex groups. Similarities and historical remarks
• Linear topologies on \(\mathbb Z\) are not Mackey topologies
• \(\mathbb{Q}\) is not a Mackey group
• ``Varopoulos paradigm: Mackey property versus metrizability in topological groups
• Additive subgroups of topological vector spaces
• Dual properties in totally bounded Abelian groups
• A Mackey-Arens theorem for topological Abelian groups
• On reflexive group topologies on Abelian groups of finite exponent
• Characterizing sequences for precompact group topologies
• Locally quasi-convex compatible topologies on a topological group
• Abelsche Gruppen mit kompakten Charaktergruppen und Dualitätstheorie gewisser linear topologischer abelscher Gruppen
• Group valued null sequences and metrizable non-Mackey groups
• On the Glicksberg theorem for locally quasi-convex Schwartz groups
• Note on Compatible Vector Topologies
• Uniform Boundedness for Groups
• Characteristics of the Mackey Topology for Abelian Topological Groups
• On Schwartz groups
• Zur Bohr-Konvergenz von Folgen.
• On Convex Topological Linear Spaces
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