\(\mathbb{Q}\) is not a Mackey group

DOI10.1016/j.topol.2014.10.004zbMath1310.54025OpenAlexW2000541114MaRDI QIDQ471464

Daniel de la Barrera Mayoral

Publication date: 14 November 2014

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

Full work available at URL: https://doi.org/10.1016/j.topol.2014.10.004

zbMATH Keywords

dual grouplocally quasi-convexMackey topology

Mathematics Subject Classification ID

Representations of general topological groups and semigroups (22A25) Topological groups (topological aspects) (54H11) (p)-adic theory, local fields (11F85) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (10)

On the Mackey topology for abelian topological groups and locally convex spaces ⋮ Mackey topology on locally convex spaces and on locally quasi-convex groups. Similarities and historical remarks ⋮ Locally quasi-convex compatible topologies on a 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 ⋮ Locally quasi-convex compatible topologies on locally compact abelian groups ⋮ Non metrizable topologies on Z with countable dual group. ⋮ ``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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Linear topologies on \(\mathbb Z\) are not Mackey topologies
• Pontryagin duality for metrizable groups
• Characterizing sequences for precompact group topologies
• Group valued null sequences and metrizable non-Mackey groups

This page was built for publication: \(\mathbb{Q}\) is not a Mackey group