Borel's conjecture and meager-additive sets

Daniel Calderón

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arXiv · 2012.02396

Borel's conjecture and meager-additive sets

Daniel Calderón

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Abstract

We prove that it is relatively consistent with $\mathrm{ZFC}$ that every strong measure zero subset of the real line is meager-additive while there are uncountable strong measure zero sets (i.e., Borel's conjecture fails). This answers a long-standing question due to Bartoszy\'nski and Judah.

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Daniel Calderón. 2020-12-04. Borel's conjecture and meager-additive sets. https://arxiv.org/abs/2012.02396

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