Every null additive set of reals is meager additive

Saharon Shelah

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arXiv · math/9406228

Every null additive set of reals is meager additive

Saharon Shelah

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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.

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BibTeX RIS

Saharon Shelah. 1994-06-15. Every null additive set of reals is meager additive. https://arxiv.org/abs/math/9406228

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