Countably infinite quasi-convex sets in some locally compact abelian groups

DOI10.1016/j.topol.2009.04.065zbMath1195.22001OpenAlexW1979394290MaRDI QIDQ972530

Lorenzo de Leo, Dikran Dikranjan

Publication date: 19 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.topol.2009.04.065

zbMATH Keywords

2-adic integerstorus groupqc-dense setsquasi-convex sets

Mathematics Subject Classification ID

Structure of general topological groups (22A05) General properties and structure of LCA groups (22B05)

Related Items (10)

Locally compact abelian groups admitting non-trivial quasi-convex null sequences ⋮ Compact-like abelian groups without non-trivial quasi-convex null sequences ⋮ Quasi-convexly dense and suitable sets in the arc component of a compact group ⋮ Locally quasi-convex compatible topologies on locally compact abelian groups ⋮ A survey on reflexivity of abelian topological groups ⋮ Linear topologies on \(\mathbb Z\) are not Mackey topologies ⋮ Quasi-convex sequences in the circle and the 3-adic integers ⋮ On quasi-convex null sequences in infinite cyclic groups ⋮ Quasi-convex density and determining subgroups of compact Abelian groups ⋮ Mackey groups and Mackey topologies

Cites Work

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• Locally compact abelian groups admitting non-trivial quasi-convex null sequences
• Characterizing subgroups of compact Abelian groups
• Quasi-convex sequences in the circle and the 3-adic integers
• Additive subgroups of topological vector spaces
• A characterization of the Schur property by means of the Bohr topology
• Completeness properties of locally quasi-convex groups

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