Ultrafilter limits of asymptotic density are not universally measurable
Functional Analysis
2018-05-29 v1
Abstract
We show that for any nonprincipal ultrafilter on the positive integers, then probability measure induced by the -limit of asymptotic density is not a universally measurable function.
Keywords
Cite
@article{arxiv.1805.10713,
title = {Ultrafilter limits of asymptotic density are not universally measurable},
author = {Joerg Brendle and Paul B. Larson},
journal= {arXiv preprint arXiv:1805.10713},
year = {2018}
}
Comments
This note appeared in the Proceedings of the 2009 RIMS set theory workshop (2010)