Some results about Borel sets in descriptive set theory of hyperfinite sets

DOI10.2307/2274650zbMath0732.03048OpenAlexW2130476007MaRDI QIDQ3358737

Boško Živaljević

Publication date: 1990

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

Full work available at URL: https://doi.org/10.2307/2274650

zbMATH Keywords

Borel setsLoeb measureanalytic setinternal setsinternal measureBorel bijectivityhyperfinite setsinternal cardinalityinternal counting measurenonstandard measure

Mathematics Subject Classification ID

Descriptive set theory (03E15) Nonstandard models in mathematics (03H05) Nonstandard measure theory (28E05)

Related Items (8)

The structure of graphs all of whose Y-sections are internal sets ⋮ Meager sets on the hyperfinite time line ⋮ Countably determined sets and a conjecture of C. W. Henson ⋮ Analytic Mappings on Hyperfinite Sets ⋮ Every Borel function is monotone Borel ⋮ Graphs with \(\boldsymbol\Pi^ 0_ 1(\kappa)\) \(Y\)-sections ⋮ Vanishing Borel sets ⋮ Annual Meeting of the Association for Symbolic Logic, Berkeley, 1990

Cites Work

• Foundations of infinitesimal stochastic analysis
• Descriptive set theory
• Descriptive set theory over hyperfinite sets
• Analytic Sets, Baire Sets and the Standard Part Map

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