On reflexive group topologies on Abelian groups of finite exponent

DOI10.1007/s00013-012-0455-2zbMath1267.22001OpenAlexW1981174911MaRDI QIDQ1934253

Lydia Außenhofer, Saak S. Gabriyelyan

Publication date: 28 January 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-012-0455-2

zbMATH Keywords

topological groupcompactnessdual groupreflexive groupfinite exponent

Mathematics Subject Classification ID

Analysis on general topological groups (22A10) Character groups and dual objects (43A40)

Related Items (10)

Topological properties of the group of the null sequences valued in an abelian topological group ⋮ The Mackey topology problem: a complete solution for bounded groups ⋮ On local quasi-convexity as a three-space property in topological abelian groups ⋮ Reflexivity in precompact groups and extensions ⋮ Reflexive group topologies on the integers generated by sequences ⋮ Compatible group topologies on a locally quasi-convex abelian group and the Mackey group problem ⋮ ``Varopoulos paradigm: Mackey property versus metrizability in topological groups ⋮ Duality properties of bounded torsion topological abelian groups ⋮ Characteristics of the Mackey Topology for Abelian Topological Groups ⋮ Mackey groups and Mackey topologies

Cites Work

• Unnamed Item
• A survey on reflexivity of abelian topological groups
• Pontryagin duality for metrizable groups
• Reflexive group topologies on Abelian groups
• Uniform Boundedness for Groups
• Abelian Groups which Satisfy Pontryagin Duality need not Respect Compactness

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