All meager filters may be null
逻辑
2009-09-25 v1
摘要
We show that it is consistent with ZFC that all filters which have the Baire property are Lebesgue measurable. We also show that the existence of a Sierpinski set implies that there exists a nonmeasurable filter which has the Baire property.
引用
@article{arxiv.math/9301206,
title = {All meager filters may be null},
author = {Tomek Bartoszyński and Martin Goldstern and Haim Judah and Saharon Shelah},
journal= {arXiv preprint arXiv:math/9301206},
year = {2009}
}