The Mackey problem for free locally convex spaces

DOI10.1515/forum-2018-0067zbMath1412.46002arXiv1803.00334OpenAlexW2964337528WikidataQ129630652 ScholiaQ129630652MaRDI QIDQ1756666

Saak S. Gabriyelyan

Publication date: 21 December 2018

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

Full work available at URL: https://arxiv.org/abs/1803.00334

zbMATH Keywords

Mackey groupfree locally convex spaceMackey spacespaces of real-valued continuous functions

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) General theory of locally convex spaces (46A03) Real-valued functions in general topology (54C30)

Related Items

On reflexivity and the Ascoli property for free locally convex spaces, Compatible group topologies on a locally quasi-convex abelian group and the Mackey group problem, The Mackey problem for free abelian topological groups, Locally convex properties of free locally convex spaces, Mackey groups and Mackey topologies

Cites Work

• A characterization of barrelledness of \(C_{p}(X)\)
• 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
• Free topological vector spaces
• Additive subgroups of topological vector spaces
• On the non-existence of the Mackey topology for locally quasi-convex groups
• A locally quasi-convex abelian group without a Mackey group topology
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