On thick subgroups of uncountable \(\sigma \)-compact locally compact commutative groups

DOI10.1016/j.topol.2009.05.015zbMath1177.22002OpenAlexW1993742928MaRDI QIDQ837565

Alexander Kharazishvili

Publication date: 20 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2009.05.015

zbMATH Keywords

invariant measureHaar measurelocally compact commutative group\(\sigma\)-compact commutative groupnonmeasurable subgroupthick subgroup

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) General properties and structure of LCA groups (22B05)

Related Items (2)

On uniform distribution for invariant extensions of the linear Lebesgue measure ⋮ On orbits without the Baire property

Cites Work

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• Extensions of Haar measure and of harmonic analysis for locally compact Abelian groups
• A non-separable translation invariant extension of the Lebesgue measure space
• Construction of a non-separable invariant extension of the Lebesgue measure space
• Extensions of Isometrically Invariant Measures on Euclidean Spaces
• Invariant extensions of the Lebesgue measure
• Invariant extensions of the Haar measure
• Extensions of Haar measure for compact connected Abelian groups
• Extremal pseudocompact Abelian groups are compact metrizable
• On cardinal numbers related with a compact abelian group

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