Open and solved problems concerning polarized partition relations

Shimon Garti, Saharon Shelah

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


We list some open problems concerning the polarized partition relation. We solve a couple of them, by showing that for every limit non-inaccessible ordinal α there exists a forcing notion ℙ such that the strong polarized relation (Equation) holds in Vℙ.

Original languageAmerican English
Pages (from-to)1-14
Number of pages14
JournalFundamenta Mathematicae
Issue number1
StatePublished - 2016

Bibliographical note

Publisher Copyright:
© Instytut Matematyczny PAN, 2016.


  • Cardinal characteristics
  • PCF theory
  • Partition calculus


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