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arXiv · 2401.02215

On the Rainbow Ramsey theorem and the Canonical Ramsey Theorem for pairs without AC

Amitayu Banerjee·Alexa Gopaulsingh·Zalán Molnár
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Abstract

In set theory without the Axiom of Choice, we study the set-theoretic strength of a generalized version of the Rainbow Ramsey theorem and the Canonical Ramsey Theorem for pairs introduced by Erdős and Rado, concerning their interrelation with several weak choice forms.

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Amitayu Banerjee, Alexa Gopaulsingh, Zalán Molnár. 2024-02-29. On the Rainbow Ramsey theorem and the Canonical Ramsey Theorem for pairs without AC. https://arxiv.org/abs/2401.02215

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