Topologies on the direct sum of topological Abelian groups

DOI10.1016/S0166-8641(03)00089-0zbMath1029.22002MaRDI QIDQ1408725

Maria-Jesus Chasco, Xabier Dominguez

Publication date: 25 September 2003

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

zbMATH Keywords

locally quasi-convex groupsdirect sumtopological Abelian groupsasterisk topologiescoproduct topology

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11)

Related Items (10)

On \(g\)-barrelled groups and their permanence properties ⋮ Final group topologies, Kac-Moody groups and Pontryagin duality ⋮ Coherence of augmented Iwasawa algebras ⋮ A survey on reflexivity of abelian topological groups ⋮ ON VARIETIES OF ABELIAN TOPOLOGICAL GROUPS WITH COPRODUCTS ⋮ Continuous duality of limits and colimits of topological Abelian groups ⋮ Extending topological abelian groups by the unit circle ⋮ Varieties of abelian topological groups with coproducts ⋮ Frobenius reciprocity for topological groups ⋮ Mackey groups and Mackey topologies

Cites Work

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• Additive subgroups of topological vector spaces
• A characterization of Pontryagin duality
• Coproducts of topological Abelian groups
• Coproducts of abelian topological groups
• Extensions of the Pontrjagin duality. I: Infinite products
• Some examples of monothetic groups
• Countable products and sums of lines and circles: their closed subgroups, quotients and duality properties
• k-Groups and Duality

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