Uncountable products of determined groups need not be determined

DOI10.1016/j.jmaa.2008.07.065zbMath1156.22002OpenAlexW2018160612MaRDI QIDQ950477

F. Javier Trigos-Arrieta, Salvador Hernández, Sergio Macario

Publication date: 22 October 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.07.065

zbMATH Keywords

dense subgroupdirect productdual groupdirect sumreflexive groupdetermined groupRosenthal compactAussenhofer-Chasco theoremmetrizable groups, compact abelian group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Compactness (54D30) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items (10)

The gentle, generous giant tampering with dense subgroups of topological groups ⋮ Contributions to the Bohr topology by W.W. Comfort ⋮ Quasi-convexly dense and suitable sets in the arc component of a compact group ⋮ A survey on reflexivity of abelian topological groups ⋮ Dual topologies on non-abelian groups ⋮ Some cases of preservation of the Pontryagin dual by taking dense subgroups ⋮ Precompact groups and property (T) ⋮ Reflexivity of prodiscrete topological groups ⋮ Quasi-convex density and determining subgroups of compact Abelian groups ⋮ Mackey groups and Mackey topologies

Cites Work

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• Compacts de Rosenthal
• Additive subgroups of topological vector spaces
• Pontryagin duality for metrizable groups
• A characterization of Pontryagin-van Kampen duality for locally convex spaces
• Group duality with the topology of precompact convergence
• Pontryagin duality for spaces of continuous functions
• Dual groups of vector spaces
• Extensions of the Pontrjagin duality. I: Infinite products
• The Pontrjagin duality theorem in linear spaces
• The Dual Group of a Dense Subgroup
• Pontryagin duality for topological Abelian groups

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