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

Published 4 Jan 2024 in math.LO and math.CO | (2401.02215v2)

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 Erd\H{o}s and Rado, concerning their interrelation with several weak choice forms.

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