Small-large subgroups of the reals

Year, pages: 2018, 473 - 484

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 subgroup of $\mbR$, while it is consistent that there there is no non-null meager subgroup of $\mbR$.

Rosłanowski, A., Shelah, S. 2018. Small-large subgroups of the reals. In Mathematica Slovaca, vol. 68, no.3, pp. 473-484. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0117

Rosłanowski, A., Shelah, S. (2018). Small-large subgroups of the reals. Mathematica Slovaca, 68(3), 473-484. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0117