Small-large subgroups of the reals

Andrzej Ros Lanowski; Saharon Shelah

doi:10.1515/ms-2017-0117

Small-large subgroups of the reals

Andrzej Ros Lanowski, Saharon Shelah

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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 subgroup of ℝ, while it is consistent that there there is no non-null meager subgroup of ℝ.

Original language	English
Pages (from-to)	473-484
Number of pages	12
Journal	Mathematica Slovaca
Volume	68
Issue number	3
DOIs	https://doi.org/10.1515/ms-2017-0117
State	Published - 26 Jun 2018

Bibliographical note

Publisher Copyright:
© 2018 De Gruyter Open Ltd. All rights rserved.

Keywords

Borel hulls
additive subgroups of the reals
forcing
meager ideal
null ideal

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Small-large subgroups of the reals

Abstract

Bibliographical note

Keywords

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