Distinguishing three strong saturation properties in nonstandard analysis

DOI10.1016/S0168-0072(98)00055-4zbMath0933.03086WikidataQ126536256 ScholiaQ126536256MaRDI QIDQ1302293

Renling Jin

Publication date: 21 March 2000

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

zbMATH Keywords

saturationmeasure-preservinginternal permutationinternally presentedLoeb probability spacespecial model axiom

Mathematics Subject Classification ID

Measures on Boolean rings, measure algebras (28A60) Models with special properties (saturated, rigid, etc.) (03C50) Nonstandard models in mathematics (03H05) Nonstandard measure theory (28E05)

Related Items (1)

Combinatorial principles in nonstandard analysis

Cites Work

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• Model theory.
• Automorphisms of the Loeb algebra
• Compact Measures Have Loeb Preimages
• The isomorphism property versus the special model axiom
• A theorem on the isomorphism property
• The isomorphism property in nonstandard analysis and its use in the theory of Banach spaces
• Compactness of Lobe spaces
• The strength of the isomorphism property
• The isomorphism property for nonstandard universes
• Analytic Mappings on Hyperfinite Sets
• The special model axiom in nonstandard analysis
• Set theoretic properties of Loeb measure

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