Some cases of preservation of the Pontryagin dual by taking dense subgroups

DOI10.1016/j.topol.2011.06.018zbMath1235.22004OpenAlexW2016192069MaRDI QIDQ639711

Maria-Jesus Chasco, Xabier Dominguez, F. Javier Trigos-Arrieta

Publication date: 22 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.06.018

zbMATH Keywords

dense subgroupcharacter groupdetermined grouppseudocompact groupdetermining subgrouptopological abelian group

Mathematics Subject Classification ID

Structure of general topological groups (22A05)

Related Items (3)

\(\operatorname{SL}_2\) representations and relative property (T) ⋮ A survey on reflexivity of abelian topological groups ⋮ Dual topologies on non-abelian groups

Cites Work

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• Dual topologies on non-abelian groups
• Pseudocompact group topologies with no infinite compact subsets
• Uncountable products of determined groups need not be determined
• Quasi-convex density and determining subgroups of compact Abelian groups
• Additive subgroups of topological vector spaces
• Open subgroups and Pontryagin duality
• Pontryagin duality for metrizable groups
• Pontryagin duality in the class of precompact abelian groups and the Baire property
• On the arc component of a locally compact Abelian group
• Extensions of the Pontrjagin duality. I: Infinite products
• The Dual Group of a Dense Subgroup
• Sequential completeness of quotient groups
• Precompact noncompact reflexive Abelian groups

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