Unbounded Loeb Measures

DOI10.2307/2042120zbMath0397.28001OpenAlexW4251997938MaRDI QIDQ4180540

C. Ward Henson

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2042120

zbMATH Keywords

Nonstandard AnalysisCaratheodory ExtensionUnbounded Loeb Measures

Mathematics Subject Classification ID

Real- or complex-valued set functions (28A10) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Nonstandard analysis (26E35) Other applications of nonstandard models (economics, physics, etc.) (03H10)

Related Items (5)

A finite intersection property and the Loeb measurability of ultrafilters on hyperfinite sets ⋮ Analytic Mappings on Hyperfinite Sets ⋮ From discrete to continuous time ⋮ Strong counterexamples to Borel hyperdeterminacy ⋮ On the reducibility of monadic equivalence relations

Cites Work

• On a class of valuation fields introduced by A. Robinson
• A non-standard representation for Brownian motion and Ito integration
• Conversion from Nonstandard to Standard Measure Spaces and Applications in Probability Theory
• Analytic Sets, Baire Sets and the Standard Part Map
• Function Theory on Some Nonarchimedean Fields
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