Nonstandard Measure Theory: Avoiding Pathological Sets

DOI10.2307/1998996zbMath0377.02033OpenAlexW4252378455MaRDI QIDQ4156768

Frank Wattenberg

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/1998996

zbMATH Keywords

LOLEBESGUE MEASURENONSTANDARD MEASURE THEORYPATHOLOGICAL SETS

Mathematics Subject Classification ID

Real- or complex-valued set functions (28A10) Length, area, volume, other geometric measure theory (28A75) Nonstandard analysis (26E35) Nonstandard models (03H99)

Related Items (4)

Star-Finite Representations of Measure Spaces ⋮ Additive representation of separable preferences over infinite products ⋮ A nonstandard result about path continuity ⋮ The optimal differentiation basis and liftings of 𝐿^{∞}

Cites Work

• Density topology and approximate continuity
• Lectures on non-standard analysis
• A model of set-theory in which every set of reals is Lebesgue measurable
• Conditional probability can be defined for all pairs of sets of reals
• Conversion from Nonstandard to Standard Measure Spaces and Applications in Probability Theory
• Nonstandard Measure Theory-Hausdorff Measure
• On the Nonstandard Representation of Measures
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Nonstandard Measure Theory: Avoiding Pathological Sets