Cardinal Conditions for Strong Fubini Theorems

DOI10.2307/2001569zbMath0715.03022OpenAlexW4236914292MaRDI QIDQ3201043

Joseph Shipman

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001569

zbMATH Keywords

measurable cardinaliterated integrals of bounded functionsstrong Fubini theorem

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Consistency and independence results (03E35) Large cardinals (03E55) Other set-theoretic hypotheses and axioms (03E65)

Related Items (3)

On Borel measurability and large deviations for fuzzy random variables ⋮ The existence of invariant \(\sigma\)-finite measures for a group of transformations ⋮ Generalizations of Kochen and Specker's theorem and the effectiveness of Gleason's theorem

Cites Work

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• A consistent Fubini-Tonelli theorem for nonmeasurable functions
• Forcings with ideals and simple forcing notions
• A model of set-theory in which every set of reals is Lebesgue measurable
• Axioms of symmetry: Throwing darts at the real number line

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