The Dual Group of a Dense Subgroup

DOI10.1023/B:CMAJ.0000042588.07352.99zbMath1080.22500OpenAlexW1999321426MaRDI QIDQ3366646

F. Javier Trigos-Arrieta, W. Wistar Comfort, Sophia U. Raczkowski

Publication date: 14 February 2006

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30879

zbMATH Keywords

characterBohr topologyBohr compactificationcharacter group

Mathematics Subject Classification ID

Compact groups (22C05) Analysis on general topological groups (22A10) Character groups and dual objects (43A40) Locally compact abelian groups (LCA groups) (22B99)

Related Items (15)

On the arc component of a locally compact Abelian group ⋮ Reflexivity in precompact groups and extensions ⋮ The gentle, generous giant tampering with dense subgroups of topological groups ⋮ Quasi-convexly dense and suitable sets in the arc component of a compact group ⋮ Pontryagin duality in the class of precompact abelian groups and the Baire property ⋮ 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 ⋮ An approach to duality on abelian precompact groups ⋮ Precompact groups and property (T) ⋮ Uncountable products of determined groups need not be determined ⋮ Reflexivity of prodiscrete topological groups ⋮ On locally solid topological lattice groups ⋮ Quasi-convex density and determining subgroups of compact Abelian groups ⋮ Mackey groups and Mackey topologies

Cites Work

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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Countably compact groups and finest totally bounded topologies
• The maximal totally bounded group topology on G and the biggest minimal G-space, for Abelian groups G
• Set theory. An introduction to independence proofs
• On the existence of exotic Banach-Lie groups
• Some topological groups with, and some without, proper dense subgroups
• Additive subgroups of topological vector spaces
• Pseudocompact refinements of compact group topologies
• Pontryagin duality for metrizable groups
• Counting subgroups and topological group topologies
• Some examples on linear topological spaces
• Extensions of Haar measure and of harmonic analysis for locally compact Abelian groups
• On sequential convergence in groups
• Über nicht-vollständige Montelräume
• Dual groups of vector spaces
• Dualität lokalkompakter Gruppen
• Continuity, boundedness, connectedness and the Lindelöf property for topological groups
• Extensions of the Pontrjagin duality. I: Infinite products
• Extensions of the Pontrjagin duality. II: Direct and inverse sequences
• The Pontrjagin duality theorem in linear spaces
• Abelsche Gruppen mit kompakten Charaktergruppen und Dualitätstheorie gewisser linear topologischer abelscher Gruppen
• The Number of T 2 -Precompact Group Topologies on Free Groups
• Uniform Boundedness for Groups
• Abelian Groups which Satisfy Pontryagin Duality need not Respect Compactness
• Remarks on the Cardinality of Compact Spaces and Their Lindelof Subspaces
• Abelian torsion groups with a pseudocompact group topology
• Shorter Notes: An Elementary Proof of Steinhaus's Theorem
• Topologies induced by groups of characters
• Zur Bohr-Konvergenz von Folgen.
• k-Groups and Duality
• Duality of totally bounded Abelian groups

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