Answer to a question of Ros\l{}anowski and Shelah
Logic
2020-12-15 v3 General Topology
Abstract
In [arXiv:1605.02261] Ros\l{}anowski and Shelah asked whether every locally compact non-discrete group has a null but non-meager subgroup, and conversely, whether it is consistent with that in every locally compact group a meager subgroup is always null. They gave affirmative answers for both questions in the case of the Cantor group and the reals. In this paper we give affirmative answers for the general case.
Cite
@article{arxiv.1610.00614,
title = {Answer to a question of Ros\l{}anowski and Shelah},
author = {Márk Poór},
journal= {arXiv preprint arXiv:1610.00614},
year = {2020}
}