Representing Abstract Measures by Loeb Measures: A Generalization of the Standard Part Map

DOI10.2307/2160577zbMath0847.28010OpenAlexW4230370282MaRDI QIDQ4874104

Jésus M. Aldaz

Publication date: 29 September 1996

Full work available at URL: https://doi.org/10.2307/2160577

zbMATH Keywords

Loeb measuresinternal measure spaces

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Nonstandard models in mathematics (03H05) Nonstandard measure theory (28E05)

Related Items (1)

Finitely-additive, countably-additive and internal probability measures

Cites Work

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• Applications of nonstandard analysis to ideal boundaries in potential theory
• Universal Loeb-Measurability of Sets and of the Standard Part Map with Applications
• Star-Finite Representations of Measure Spaces
• Compact Measures Have Loeb Preimages
• Conversion from Nonstandard to Standard Measure Spaces and Applications in Probability Theory
• On the Nonstandard Representation of Measures

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