Small-large subgroups of the reals
Logic
2016-06-01 v2
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 R, while it isconsistent there there is no non-null meager subgroup of R.
Cite
@article{arxiv.1605.02261,
title = {Small-large subgroups of the reals},
author = {Andrzej Roslanowski and Saharon Shelah},
journal= {arXiv preprint arXiv:1605.02261},
year = {2016}
}