Hyperfinite transversal theory. II

DOI10.1090/S0002-9947-96-01596-6zbMath0856.03051MaRDI QIDQ4889988

Boško Živaljević

Publication date: 29 October 1996

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

graphsHall's theoremexistence of sets of representatives for Loeb spaces

Mathematics Subject Classification ID

Descriptive set theory (03E15) Graph theory (05C99) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Nonstandard models in mathematics (03H05) Nonstandard measure theory (28E05)

Related Items (1)

Invariant measures of set-valued maps

Cites Work

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• Foundations of infinitesimal stochastic analysis
• Graphs with \(\boldsymbol\Pi^ 0_ 1(\kappa)\) \(Y\)-sections
• Distributions of random sets and random selections
• Rado's Theorem for the Loeb Space of an Internal ∗-Finitely Additive Measure Space
• Descriptive set theory over hyperfinite sets
• Lifting Theorems in Nonstandard Measure Theory
• One-to-One Selections-Marriage Theorems
• The structure of graphs all of whose Y-sections are internal sets
• Hyperfinite Transversal Theory
• Representation of systems of measurable sets
• Conversion from Nonstandard to Standard Measure Spaces and Applications in Probability Theory
• Analytic Sets, Baire Sets and the Standard Part Map
• Louveau's theorem for the descriptive set theory of internal sets
• On Representatives of Subsets
• Π 1 1 Functions are Almost Internal
• Π₁¹ sets of unbounded Loeb measure
• Analytic Mappings on Hyperfinite Sets
• The Current Theory of Analytic Sets

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