Every null additive set of reals is meager additive

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

1994-06-15

arxiv.org/abs/math/9406228v1

Israel J. Math. 89 (1995), 357--376

Mathematics

Logic

Scientific paper

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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