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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Uniqueness of unbounded Loeb measure using Choquet's theorem


Author: Boško Živaljević
Journal: Proc. Amer. Math. Soc. 116 (1992), 529-533
MSC: Primary 28E05; Secondary 03H05
DOI: https://doi.org/10.1090/S0002-9939-1992-1094509-3
MathSciNet review: 1094509
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Abstract: Uniqueness of the Carathéodory extension of the standard part map of an internal unbounded measure $ \mu $ defined on an internal algebra $ \mathcal{A}$ of subsets of an internal set $ \Omega $ has been proved by Henson using the notion of a countably determined set. Here we show how Choquet's capacitability theorem can be used in the proof of the same result.


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DOI: https://doi.org/10.1090/S0002-9939-1992-1094509-3
Article copyright: © Copyright 1992 American Mathematical Society