Forcing axioms and the Galvin number

Shimon Garti; Yair Hayut; Haim Horowitz; Menachem Magidor

doi:10.1007/s10998-021-00407-9

Forcing axioms and the Galvin number

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

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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 language	English
Pages (from-to)	250-258
Number of pages	9
Journal	Periodica Mathematica Hungarica
Volume	84
Issue number	2
DOIs	https://doi.org/10.1007/s10998-021-00407-9
State	Published - Jun 2022

Bibliographical note

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

Keywords

Galvin’s property
Martin’s maximum
PFA
pcf Theory

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10.1007/s10998-021-00407-9

Cite this

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Forcing axioms and the Galvin number

Abstract

Bibliographical note

Keywords

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