On Erdos--Dushnik--Miller theorem without AC

Published 10 Nov 2022 in math.LO, math.CO, math.GN, and math.GR | (2211.05665v4)

Abstract: 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 choice forms. We also answer a part of a question raised by Lajos Soukup.

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