# 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)

Bib entry

@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} }