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math.LO2024
On the Rainbow Ramsey theorem and the Canonical Ramsey Theorem for pairs without AC
Amitayu Banerjee, Alexa Gopaulsingh, Zalán Molnár
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 int…
math.LO2022★ 1 cited
On Erdos--Dushnik--Miller theorem without AC
Amitayu Banerjee, Alexa Gopaulsingh
In set theory without the Axiom of Choice, we study the possible placement of Erdos-Dushnik-Miller theorem restricted to an uncountable set of vertices in the hierarchy of weak cho…