On quasi-convex null sequences in infinite cyclic groups

DOI10.1515/FORUM-2017-0079zbMath1397.22001OpenAlexW2769482310MaRDI QIDQ723290

Lydia Außenhofer

Publication date: 30 July 2018

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2017-0079

zbMATH Keywords

locally quasi-convex groupprecompact abelian groupquasi-convex null sequence

Mathematics Subject Classification ID

Structure of general topological groups (22A05) General theory of locally convex spaces (46A03) Torsion-free groups, finite rank (20K15) Topological methods for abelian groups (20K45) Character groups and dual objects (43A40)

Related Items (1)

Mackey groups and Mackey topologies

Cites Work

• Compact-like abelian groups without non-trivial quasi-convex null sequences
• Locally compact abelian groups admitting non-trivial quasi-convex null sequences
• Countably infinite quasi-convex sets in some locally compact abelian groups
• Quasi-convex sequences in the circle and the 3-adic integers
• Additive subgroups of topological vector spaces
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