Every null additive set of reals is meager additive
Logic
2016-09-06 v1
Abstract
We show that every null-additive set is meager-additive, where: (1) a set X subseteq 2^omega is null-additive if for every Lebesgue null set A subseteq 2^omega, X+A is null too; (2) we say that X subseteq 2^omega is meager-additive if for every A subseteq 2^omega which is meager also X+A is meager.
Cite
@article{arxiv.math/9406228,
title = {Every null additive set of reals is meager additive},
author = {Saharon Shelah},
journal= {arXiv preprint arXiv:math/9406228},
year = {2016}
}