English

Cohen real or random real: effect on strong measure zero sets and strongly meager sets

Logic 2020-05-26 v2

Abstract

We show that the set of the ground-model reals has strong measure zero (is strongly meager) after adding a single Cohen real (random real). As consequence we prove that the set of the ground-model reals has strong measure zero after adding a single Hechler real.

Keywords

Cite

@article{arxiv.2005.07912,
  title  = {Cohen real or random real: effect on strong measure zero sets and strongly meager sets},
  author = {Miguel A. Cardona},
  journal= {arXiv preprint arXiv:2005.07912},
  year   = {2020}
}