Meager sets on the hyperfinite time line

DOI10.2307/2274905zbMath0747.03031OpenAlexW2154942716MaRDI QIDQ3981448

H. Jerome Keisler, Steven C. Leth

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.2307/2274905

zbMATH Keywords

meager setcut generated topologieshyperfinite intervalhyperfinite natural numbers

Mathematics Subject Classification ID

Nonstandard models in mathematics (03H05) Nonstandard measure theory (28E05) Nonstandard topology (54J05)

Related Items (9)

Applications of Nonstandard Analysis in Additive Number Theory ⋮ Π₁¹ sets of unbounded Loeb measure ⋮ Existence of some sparse sets of nonstandard natural numbers ⋮ On the reducibility of monadic equivalence relations ⋮ The sumset phenomenon ⋮ Game sentences and ultrapowers ⋮ The generic filter property in nonstandard analysis ⋮ High density piecewise syndeticity of sumsets ⋮ Abelian groups with layered tiles and the sumset phenomenon

Cites Work

• Foundations of infinitesimal stochastic analysis
• Remarks on the Dedekind completion of a nonstandard model of the reals
• Saturation and simple extensions of models of Peano arithmetic
• Countable ultraproducts without CH
• Some results about Borel sets in descriptive set theory of hyperfinite sets
• Descriptive set theory over hyperfinite sets
• Analytic Sets, Baire Sets and the Standard Part Map
• Ultraproducts of finite sets
• Set theoretic properties of Loeb measure

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