On the non-existence of the Mackey topology for locally quasi-convex groups
type: Item
instance of: scholarly article
title: On the non-existence of the Mackey topology for locally quasi-convex groups
zbMATH Open document ID: 1397.22002
author: Lydia Außenhofer
published in: Forum Mathematicum
publication date: 2018-10-04T00:00:00Z
Mathematics Subject Classification ID: 22A05
Mathematics Subject Classification ID: 22B05
Mathematics Subject Classification ID: 46A04
Mathematics Subject Classification ID: 11A07
zbMATH DE Number: 6947014
zbMATH Keywords: locally quasi-convex topology
zbMATH Keywords: quasi-convex hull
zbMATH Keywords: compatible topology
zbMATH Keywords: Mackey topology
zbMATH Keywords: Kronecker's approximation theorem
zbMATH Keywords: Protasov-Zelenyuk topology
zbMATH Keywords: Markov free abelian group
zbMATH Keywords: Graev free abelian group
MaRDI profile type: Publication
full work available at URL: forum-2017-0179
OpenAlex ID: W2792971126
cites work: Duality in linear spaces
cites work: Q4484934
cites work: Linear topologies on \(\mathbb Z\) are not Mackey topologies
cites work: ``Varopoulos paradigm'': Mackey property versus metrizability in topological groups
cites work: The Mackey topology problem: a complete solution for bounded groups
cites work: Locally quasi-convex compatible topologies on a topological group
cites work: Additive subgroups of topological vector spaces
cites work: Q4527393
cites work: Q4237891
cites work: \(\mathbb{Q}\) is not a Mackey group
cites work: Group valued null sequences and metrizable non-Mackey groups
cites work: A characterization of barrelledness of \(C_{p}(X)\)
cites work: On the Mackey topology for abelian topological groups and locally convex spaces
cites work: A Mackey-Arens theorem for topological Abelian groups
cites work: Dual properties in totally bounded Abelian groups
cites work: On Convex Topological Linear Spaces
cites work: Q5840188
cites work: Mackey topology on locally convex spaces and on locally quasi-convex groups. Similarities and historical remarks
cites work: Characteristics of the Mackey Topology for Abelian Topological Groups
cites work: Q4940895
cites work: Q5545817
cites work: Q5807692
DOI: 10.1515/FORUM-2017-0179
Recommended article: A locally quasi-convex abelian group without a Mackey group topology
Recommended article: Mackey topology on locally convex spaces and on locally quasi-convex groups. Similarities and historical remarks
Recommended article: On the Mackey topology for abelian topological groups and locally convex spaces
Recommended article: Compatible group topologies on a locally quasi-convex abelian group and the Mackey group problem
Recommended article: Q4237891
Recommended article: Locally quasi-convex compatible topologies on a topological group
Recommended article: A class of topological groups which do not admit normal compatible locally quasi-convex topologies
Recommended article: Mackey groups and Mackey topologies
Recommended article: Q4527393
Recommended article: On the non-existence of certain group topologies
description: scientific article; zbMATH DE number 6947014