Compact-like abelian groups without non-trivial quasi-convex null sequences

DOI10.1016/J.JPAA.2013.05.001zbMath1280.22002arXiv1007.1927OpenAlexW2084324783MaRDI QIDQ392391

Dikran Dikranjan, Gábor Lukács

Publication date: 14 January 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.1927

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Compactness (54D30) Topological groups (topological aspects) (54H11) Compact groups (22C05)

Related Items (5)

Locally quasi-convex compatible topologies on locally compact abelian groups ⋮ A survey on reflexivity of abelian topological groups ⋮ On quasi-convex null sequences in infinite cyclic groups ⋮ Characteristics of the Mackey Topology for Abelian Topological Groups ⋮ Mackey groups and Mackey topologies

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pseudocompact group topologies with no infinite compact subsets
• Groups without convergent 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
• Dual properties in totally bounded Abelian groups
• Minimal topological algebras
• Minimal topological groups
• Pseudocompactness and uniform continuity in topological groups
• The Weight of a Pseudocompact (Homogeneous) Space Whose Cardinality Has Countable Cofinality
• The Product of Two Countably Compact Topological Groups
• A separable normal topological group need not be Lindelöf
• Zur Bohr-Konvergenz von Folgen.
• k-Groups and Duality
• The structure of compact groups. A primer for the student -- a handbook for the expert

This page was built for publication: Compact-like abelian groups without non-trivial quasi-convex null sequences