Small-large subgroups of locally compact Abelian Polish groups
Logic
2019-06-27 v3
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 there are no meager but non-null subgroups. The answer is affirmative for both questions [arXiv:1605.02261], however, in this paper we provide a much simpler proof for the special case of Abelian Polish groups.
Cite
@article{arxiv.1706.01164,
title = {Small-large subgroups of locally compact Abelian Polish groups},
author = {Márk Poór},
journal= {arXiv preprint arXiv:1706.01164},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1610.00614