Loeb Extension and Loeb Equivalence
Logic
2022-10-11 v1 Probability
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?
Cite
@article{arxiv.2010.01842,
title = {Loeb Extension and Loeb Equivalence},
author = {Robert M. Anderson and Haosui Duanmu and David Schrittesser and William Weiss},
journal= {arXiv preprint arXiv:2010.01842},
year = {2022}
}
Comments
10 pages