English

Borel Conjecture for the Marczewski ideal

Logic 2024-01-10 v1

Abstract

We show in ZFC that there is no set of reals of size continuum which can be translated away from every set in the Marczewski ideal. We also show that in the Cohen model, every set with this property is countable.

Cite

@article{arxiv.2401.04300,
  title  = {Borel Conjecture for the Marczewski ideal},
  author = {Joerg Brendle and Wolfgang Wohofsky},
  journal= {arXiv preprint arXiv:2401.04300},
  year   = {2024}
}
R2 v1 2026-06-28T14:11:54.133Z