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)

@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}
}