Metrical transitivity and nonseparable extensions of invariant measures

DOI10.11650/TWJM/1500405449zbMath1184.28006OpenAlexW4254693204MaRDI QIDQ842017

Alexander Kharazishvili

Publication date: 22 September 2009

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500405449

zbMATH Keywords

invariant measureHaar measurecontinuum hypothesisnonseparable extension of measureUlam matrixmetrically transitive measure

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) General groups of measure-preserving transformations (28D15) Measures on Boolean rings, measure algebras (28A60)

Related Items (3)

On the cardinal number of the family of all invariant extensions of a nonzero \(\sigma\)-finite invariant measure ⋮ Quasi-invariant measures on topological groups and \(\omega\)-powers ⋮ A nonseparable invariant extension of Lebesgue measure -- a generalized and abstract approach

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