English

Small forcings and Cohen reals

Logic 2009-09-25 v1

Abstract

We prove it consistent relative to ZFC that all nontrivial forcings of size 1\aleph _1 add a Cohen real.

Keywords

Cite

@article{arxiv.math/9409203,
  title  = {Small forcings and Cohen reals},
  author = {Jindřich Zapletal},
  journal= {arXiv preprint arXiv:math/9409203},
  year   = {2009}
}