κ-Finiteness and κ-Additivity of Measures on Sets and Left Invariant Measures on Discrete Groups

DOI10.2307/2042154zbMath0435.28005OpenAlexW4235355542MaRDI QIDQ3874449

Thomas E. Armstrong, Karel Prikry

Publication date: 1980

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2042154

zbMATH Keywords

discrete groupsleft invariant meansreal-valued measurable cardinalskappa-additivityleft invariant measuresmeasurable ideal cardinals

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Large cardinals (03E55) Measure-theoretic ergodic theory (28D99)

Related Items (7)

Countably Additive Full Conditional Probabilities ⋮ Strong singularity, disjointness, and strong finite additivity of finitely additive measures ⋮ The extent of non-conglomerability of finitely additive probabilities ⋮ Conglomerability of probability measures on Boolean algebras ⋮ Notes on Jordan fields based on an article by Maharam ⋮ The core-Walras equivalence ⋮ NONCONGLOMERABILITY FOR COUNTABLY ADDITIVE MEASURES THAT ARE NOT κ-ADDITIVE

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