Sh:607

• Bartoszyński, T., & Shelah, S. (2001). Strongly meager sets do not form an ideal. J. Math. Log., 1(1), 1–34. arXiv: math/9805148 DOI: 10.1142/S0219061301000028 MR: 1838340
• Abstract:
  A set X \subseteq {\bf R} is strongly meager if for every measure zero set H, X+H \neq {\bf R}. Let SM denote the collection of strongly meager sets. We show that assuming CH, SM is not an ideal.
• Version 1998-05-13_11 (29p) published version (34p)

@article{Sh:607,
 author = {Bartoszy{\'n}ski, Tomek and Shelah, Saharon},
 title = {{Strongly meager sets do not form an ideal}},
 journal = {J. Math. Log.},
 fjournal = {Journal of Mathematical Logic},
 volume = {1},
 number = {1},
 year = {2001},
 pages = {1--34},
 issn = {0219-0613},
 mrnumber = {1838340},
 mrclass = {03E17 (03E50)},
 doi = {10.1142/S0219061301000028},
 note = {\href{https://arxiv.org/abs/math/9805148}{arXiv: math/9805148}},
 arxiv_number = {math/9805148}
}