On sums of real-valued functions with extremely thick graphs

DOI10.1016/j.exmath.2008.10.003zbMath1177.28003OpenAlexW2027574997MaRDI QIDQ1013798

Alexander Kharazishvili

Publication date: 23 April 2009

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2008.10.003

zbMATH Keywords

measureBorel setsLebesgue measuretranslation-invariant measuresigma-algebrauniversal measure zero setextremely thick settranslation-quasi-invariant measureuniversally extendable sigma-algebra

Mathematics Subject Classification ID

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

Cites Work

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• A non-separable translation invariant extension of the Lebesgue measure space
• Construction of a non-separable invariant extension of the Lebesgue measure space
• On a Problem of Banach
• Small Spaces
• Remarks on σ-fields without continuous measures

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