Strong Polarized Relations for the Continuum

Shimon Garti*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


We prove that the strong polarized relation, is consistent with ZFC. We show this for μ = א0, and for every supercompact cardinal μ. We also characterize the polarized relation below the splitting number.

Original languageAmerican English
Pages (from-to)271-276
Number of pages6
JournalAnnals of Combinatorics
Issue number2
StatePublished - Jun 2012

Bibliographical note

Funding Information:
∗ Research supported by the United States-Israel Binational Science Foundation. second author.


  • forcing
  • large cardinals
  • partition calculus


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