The special model axiom in nonstandard analysis

DOI10.2307/2274484zbMath0721.03049OpenAlexW2099041909WikidataQ114589030 ScholiaQ114589030MaRDI QIDQ5752574

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Publication date: 1990

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

Full work available at URL: https://doi.org/10.2307/2274484

zbMATH Keywords

special modelHenson \(\kappa \) -isomorphism property

Mathematics Subject Classification ID

Nonstandard models in mathematics (03H05)

Related Items (13)

Compactness of Lobe spaces ⋮ Special Model Axiom in Nonstandard Set Theory ⋮ The strength of the isomorphism property ⋮ Isomorphism property in nonstandard extensions of the \(\mathbf Z\mathbf F\mathbf C\) universe ⋮ Uniqueness, collection, and external collapse of cardinals in IST and models of Peano arithmetic ⋮ The isomorphism property versus the special model axiom ⋮ A theorem on the isomorphism property ⋮ Unions of Loeb nullsets ⋮ Game sentences and ultrapowers ⋮ The generic filter property in nonstandard analysis ⋮ Distinguishing three strong saturation properties in nonstandard analysis ⋮ Combinatorial principles in nonstandard analysis ⋮ Maharam spectra of Loeb spaces

Cites Work

• Foundations of infinitesimal stochastic analysis
• Unnamed Item

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