The strength of the isomorphism property

DOI10.2307/2275266zbMath0798.03065arXivmath/9401216OpenAlexW2148828449MaRDI QIDQ4292609

Renling Jin, Saharon Shelah

Publication date: 18 May 1994

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9401216

zbMATH Keywords

isomorphism propertynonstandard universesinfinite Loeb measure spaces

Mathematics Subject Classification ID

Models with special properties (saturated, rigid, etc.) (03C50) Nonstandard models in mathematics (03H05) Nonstandard measure theory (28E05) Nonstandard analysis (26E35)

Related Items (5)

Isomorphism property in nonstandard extensions of the \(\mathbf Z\mathbf F\mathbf C\) universe ⋮ The isomorphism property for nonstandard universes ⋮ Type two cuts, bad cuts and very bad cut ⋮ The generic filter property in nonstandard analysis ⋮ Distinguishing three strong saturation properties in nonstandard analysis

Cites Work

• Game sentences and ultrapowers
• When do two Banach spaces have isometrically isomorphic nonstandard hulls
• Every two elementarily equivalent models have isomorphic ultrapowers
• The special model axiom in nonstandard analysis

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