Every Borel function is monotone Borel

DOI10.1016/0168-0072(91)90010-JzbMath0753.03030WikidataQ126977542 ScholiaQ126977542MaRDI QIDQ1182474

Boško Živaljević

Publication date: 28 June 1992

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

zbMATH Keywords

Borel setsBorel functionseparation theoremBorel relation\(\omega_ 1\)-saturated nonstandard universeSouslin functionSouslin relation

Mathematics Subject Classification ID

Descriptive set theory (03E15) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Nonstandard models in mathematics (03H05) Nonstandard topology (54J05)

Related Items (4)

Countably determined sets and a conjecture of C. W. Henson ⋮ Analytic Mappings on Hyperfinite Sets ⋮ Louveau's theorem for the descriptive set theory of internal sets ⋮ Lifting Theorems in Nonstandard Measure Theory

Cites Work

• Theory of capacities
• Some results about Borel sets in descriptive set theory of hyperfinite sets
• Descriptive set theory over hyperfinite sets
• Lifting Theorems in Nonstandard Measure Theory
• The structure of graphs all of whose Y-sections are internal sets
• Conversion from Nonstandard to Standard Measure Spaces and Applications in Probability Theory
• Analytic Sets, Baire Sets and the Standard Part Map
• Analytic Mappings on Hyperfinite Sets
• The Current Theory of Analytic Sets
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