### Every null additive set of reals is meager additive

by Shelah. [Sh:445]

Israel J Math, 1995

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.

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