Unbounded Loeb measures-Reference-Cited by-同舟云学术

Unbounded Loeb measures

Published:1979 Issue:1 Volume:74 Page:143-150
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Henson C. Ward

Abstract

Uniqueness of the Carathéodory extension is proved for the unbounded case of Loeb’s measure space construction in nonstandard analysis and these measures are studied. Methods are developed for handling sets in the σ \sigma -algebra generated by the internal sets. A quantitative theory of degrees of null measure is developed.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1979-074-01/S0002-9939-1979-0521888-9/S0002-9939-1979-0521888-9.pdf

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