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Compact Measures Have Loeb Preimages

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Publication:3993770
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DOI10.2307/2159254zbMath0755.28009OpenAlexW4243903653MaRDI QIDQ3993770

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Publication date: 13 August 1992

Full work available at URL: https://doi.org/10.2307/2159254


zbMATH Keywords

Loeb measuremeasure-preserving transformationcompact measureRadon topological probability measures


Mathematics Subject Classification ID

Nonstandard models in mathematics (03H05) Nonstandard measure theory (28E05) Set functions and measures on spaces with additional structure (28C99)


Related Items

Compact measure spaces ⋮ Unions of Loeb nullsets ⋮ Finitely-additive, countably-additive and internal probability measures ⋮ On Compactness and Loeb Measures ⋮ Representing Abstract Measures by Loeb Measures: A Generalization of the Standard Part Map ⋮ Distinguishing three strong saturation properties in nonstandard analysis



Cites Work

  • Projective limits of probability spaces
  • Nonstandard Measure Theory and its Applications
  • Universal Loeb-Measurability of Sets and of the Standard Part Map with Applications
  • Star-Finite Representations of Measure Spaces
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