Adding many random reals may add many Cohen reals

2017/01/16 by Mohammad Golshani, Golshani, Mohammad
Computer Science · Mathematics · #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic (math.LO) #Mathematical and Theoretical Analysis

paper · pdf · doi:10.48550/arxiv.1701.04156

openalex publication_date 2017/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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