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arXiv · 2010.01842

Loeb Extension and Loeb Equivalence

Robert M. Anderson·Haosui Duanmu·David Schrittesser·William Weiss
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Abstract

In Keisler and Sun (2004), the authors raise several open problems on Loeb equivalences between various internal probability spaces. We provide counter-examples for the first two open problems. Moreover, we reduce the third open problem to the following question: Is the internal algebra generated by the union of two Loeb equivalent internal algebras a subset of the Loeb extension of any one of the internal algebra?

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BibTeXRIS

Robert M. Anderson, Haosui Duanmu, David Schrittesser, William Weiss. 2020-10-05. Loeb Extension and Loeb Equivalence. https://doi.org/10.1090/bproc%2F78

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