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arXiv · 1605.02261

Small-large subgroups of the reals

Andrzej Roslanowski·Saharon Shelah
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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.

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Andrzej Roslanowski, Saharon Shelah. 2016-05-31. Small-large subgroups of the reals. https://arxiv.org/abs/1605.02261

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