On the generalized nonmeasurability of vitali sets and Bernstein sets

DOI10.1515/gmj-2020-2083OpenAlexW3109024875MaRDI QIDQ2048243

Alexander Kharazishvili

Publication date: 5 August 2021

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2020-2083

zbMATH Keywords

continuum hypothesisreal-valued measurable cardinalBernstein setselectorvitali set

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Continuum hypothesis and Martin's axiom (03E50) Other connections with logic and set theory (28E15)

Related Items (2)

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Cites Work

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• Extending Lebesgue measure by infinitely many sets
• On a theorem of Banach and Kuratowski and \(K\)-Lusin sets
• A model of set-theory in which every set of reals is Lebesgue measurable
• Measurability Properties of Vitali Sets
• Set Theory

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