Sh:1081

• Rosłanowski, A., & Shelah, S. (2018). Small-large subgroups of the reals. Math. Slovaca, 68(3), 473–484. arXiv: 1605.02261 DOI: 10.1515/ms-2017-0117 MR: 3805955
• Abstract:
  We are interested in subgroups of the reals that are small in one and large in another sense. We prove that, in ZFC, there exists a non–meager Lebesgue null subgrooup of {\mathbb R}, while it is consistent there there is no non–null meager subgroup of {\mathbb R}.
• Version 2016-11-13_11 (14p) published version (12p)

@article{Sh:1081,
 author = {Ros{\l}anowski, Andrzej and Shelah, Saharon},
 title = {{Small-large subgroups of the reals}},
 journal = {Math. Slovaca},
 fjournal = {Mathematica Slovaca},
 volume = {68},
 number = {3},
 year = {2018},
 pages = {473--484},
 issn = {0139-9918},
 mrnumber = {3805955},
 mrclass = {03E35 (03E15 28A05 54A05)},
 doi = {10.1515/ms-2017-0117},
 note = {\href{https://arxiv.org/abs/1605.02261}{arXiv: 1605.02261}},
 arxiv_number = {1605.02261}
}