Adding many random reals may add many Cohen reals

Mohammad Golshani

Adding many random reals may add many Cohen reals

Logic 2017-01-17 v1

Authors: Mohammad Golshani

Abstract

Let $\kappa$ be an infinite cardinal. Then, forcing with $\mathbb{R}(\kappa)$ $\times$ $\mathbb{R}(\kappa)$ adds a generic filter for $\mathbb{C}(\kappa);$ where $\mathbb{R}(\kappa)$ and $\mathbb{C}(\kappa)$ are the forcing notions for adding $\kappa$ -many random reals and adding $\kappa$ -many Cohen reals respectively.

Keywords

set theory forcing set theory

Cite

@article{arxiv.1701.04156,
  title  = {Adding many random reals may add many Cohen reals},
  author = {Mohammad Golshani},
  journal= {arXiv preprint arXiv:1701.04156},
  year   = {2017}
}

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