On the arc component of a locally compact Abelian group

DOI10.1007/s00209-007-0108-5zbMath1136.22003OpenAlexW2168721851MaRDI QIDQ2642268

Lydia Außenhofer

Publication date: 20 August 2007

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-007-0108-5

zbMATH Keywords

characterconnected componentdetermined groupPontryagin dualityarc componentreal-characterWithehead group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Compact groups (22C05) General properties and structure of LCA groups (22B05) Direct sums, direct products, etc. for abelian groups (20K25) Character groups and dual objects (43A40)

Related Items (4)

A duality property of an uncountable product of \({\mathbb{Z}}\) ⋮ Final group topologies, Kac-Moody groups and Pontryagin duality ⋮ Quasi-convexly dense and suitable sets in the arc component of a compact group ⋮ Some cases of preservation of the Pontryagin dual by taking dense subgroups

Cites Work

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• Pontryagin duality for metrizable groups
• Transitive actions of compact groups and topological dimension
• A duality property of an uncountable product of \({\mathbb{Z}}\)
• Extensions of the Pontrjagin duality. I: Infinite products
• The Dual Group of a Dense Subgroup
• On the continuity of the evaluation mapping associated with a group and its character group
• The exponential function of locally connected compact abelian groups

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