Adding many random reals may add many Cohen reals

Mohammad Golshani

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arXiv · 1701.04156

Adding many random reals may add many Cohen reals

Mohammad Golshani

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Abstract

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

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BibTeX RIS

Mohammad Golshani. 2017-01-16. Adding many random reals may add many Cohen reals. https://arxiv.org/abs/1701.04156

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