Abstract formulations of some theorems on nonmeasurable sets

DOI10.1016/j.trmi.2017.01.003zbMath1428.28002OpenAlexW2588370293MaRDI QIDQ2010651

Yanyan Li

Publication date: 27 November 2019

Published in: Transactions of A. Razmadze Mathematical Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.trmi.2017.01.003

zbMATH Keywords

invariant settransformation groupsmall system\(k\)-additive measurable structure\(k\)-independent (strictly \(k\)-independent) class\(k^+\)-saturationalmost invariant setinvariant (quasi-invariant) measureUlam \((k, k^+)\)-matrix

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05)

Related Items (1)

A nonseparable invariant extension of Lebesgue measure -- a generalized and abstract approach

Cites Work

• Topics in measure theory and real analysis
• Set theory. With an introduction to descriptive set theory. Translation of the original Polish edition. 2nd, completely revised ed
• Some remarks on additive properties of invariant \(\sigma\)-ideals on the real line
• On selectors nonmeasurable with respect to quasiinvariant measures
• On Sets Nonmeasurable with Respect to Invariant Measures
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