Adding a lot of Cohen reals by adding a few I

Moti Gitik; Mohammad Golshani

Adding a lot of Cohen reals by adding a few I

Logic 2015-03-17 v1

Authors: Moti Gitik , Mohammad Golshani

Abstract

In this paper we produce models $V_1\subseteq V_2$ of set theory such that adding $\kappa$ -many Cohen reals to $V_2$ adds $\lambda$ -many Cohen reals to $V_1$ , for some $\lambda>\kappa$ . We deal mainly with the case when $V_1$ and $V_2$ have the same cardinals.

Keywords

Cohen reals set theory models of set theory cardinals adding reals

Cite

@article{arxiv.1503.04387,
  title  = {Adding a lot of Cohen reals by adding a few I},
  author = {Moti Gitik and Mohammad Golshani},
  journal= {arXiv preprint arXiv:1503.04387},
  year   = {2015}
}