Borel's conjecture and meager-additive sets
Logic
2021-04-08 v2 General Topology
Abstract
We prove that it is relatively consistent with 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.
Cite
@article{arxiv.2012.02396,
title = {Borel's conjecture and meager-additive sets},
author = {Daniel Calderón},
journal= {arXiv preprint arXiv:2012.02396},
year = {2021}
}
Comments
12 pages, accepted in Proc. Amer. Math. Soc