Every null additive set of reals is meager additive
Saharon Shelah
math.LOarXiv:math/9406228
Abstract
We show that every null-additive set is meager-additive, where: (1) a set X subseteq 2omega is null-additive if for every Lebesgue null set A subseteq 2omega, X+A is null too; (2) we say that X subseteq 2omega is meager-additive if for every A subseteq 2omega which is meager also X+A is meager.
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