Analytic Mappings on Hyperfinite Sets
DOI10.2307/2160342zbMath0784.03038OpenAlexW4248363969MaRDI QIDQ5288070
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Publication date: 5 April 1994
Full work available at URL: https://doi.org/10.2307/2160342
analytic setshyperfinite setsanalytic partial functionsextensions of internal set functions to capacitiesnonexistence of ergodic Borel transformations of a Loeb probability space
Contents, measures, outer measures, capacities (28A12) Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Nonstandard models in mathematics (03H05) Nonstandard measure theory (28E05) Nonstandard analysis (26E35)
Related Items (6)
Cites Work
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- Every Borel function is monotone Borel
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- The isomorphism property in nonstandard analysis and its use in the theory of Banach spaces
- Conversion from Nonstandard to Standard Measure Spaces and Applications in Probability Theory
- Analytic Sets, Baire Sets and the Standard Part Map
- Unbounded Loeb Measures
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