Random reals and polarized colorings

Shimon Garti, Saharon Shelah

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We analyze the strong polarized partition relation with respect to several cardinal characteristics and forcing notions of the reals. We prove that random reals (as well as the existence of real-valued measurable cardinals) yield downward negative polarized relations.

Original languageAmerican English
Pages (from-to)203-212
Number of pages10
JournalStudia Scientiarum Mathematicarum Hungarica
Issue number2
StatePublished - Jun 2018

Bibliographical note

Publisher Copyright:
© 2018 Akadémiai Kiadó, Budapest.


  • Polarized partition relations
  • Random real forcing
  • Real valued measurable cardinals
  • Reaping number
  • Splitting number


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