Polarized relations at singulars over successors

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Erdős, Hajnal and Rado asked whether [Formula presented] and whether [Formula presented]. We shall prove that both relations are independent over ZFC. We shall also prove that [Formula presented] is independent over ZF for some μ>cf(μ)=ω1.

Original languageAmerican English
Article number111961
JournalDiscrete Mathematics
Issue number9
StatePublished - Sep 2020

Bibliographical note

Publisher Copyright:
© 2020 Elsevier B.V.


  • Determinacy
  • Generalized Martin's axiom
  • Polarized partition relations
  • Scales

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