Forcing axioms and the Galvin number

Shimon Garti*, Yair Hayut, Haim Horowitz, Menachem Magidor

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We study the Galvin property. We show that various square principles imply that the cofinality of the Galvin number is uncountable (or even greater than ℵ1). We prove that the proper forcing axiom is consistent with a strong negation of the Glavin property.

Original languageAmerican English
Pages (from-to)250-258
Number of pages9
JournalPeriodica Mathematica Hungarica
Issue number2
StatePublished - Jun 2022

Bibliographical note

Publisher Copyright:
© 2021, Akadémiai Kiadó, Budapest, Hungary.


  • Galvin’s property
  • Martin’s maximum
  • PFA
  • pcf Theory


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