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arXiv · 1706.01164

Small-large subgroups of locally compact Abelian Polish groups

Márk Poór
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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 $ZFC$ 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.

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Márk Poór. 2017-06-04. Small-large subgroups of locally compact Abelian Polish groups. https://arxiv.org/abs/1706.01164

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