# Sh:445

- Shelah, S. (1995).
*Every null-additive set is meager-additive*. Israel J. Math.,**89**(1-3), 357–376. arXiv: math/9406228 DOI: 10.1007/BF02808209 MR: 1324470 -
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.

- Version 1994-06-22_10 (14p) published version (20p)

Bib entry

@article{Sh:445, author = {Shelah, Saharon}, title = {{Every null-additive set is meager-additive}}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {89}, number = {1-3}, year = {1995}, pages = {357--376}, issn = {0021-2172}, mrnumber = {1324470}, mrclass = {04A15}, doi = {10.1007/BF02808209}, note = {\href{https://arxiv.org/abs/math/9406228}{arXiv: math/9406228}}, arxiv_number = {math/9406228} }