paper

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

arXiv:2401.02215

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.

Some new results were added