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

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

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 - 1 Jun 2022

Keywords

Galvin’s property
Martin’s maximum
PFA
pcf Theory

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1007/s10998-021-00407-9

Cite this

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KW - pcf Theory

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Forcing axioms and the Galvin number

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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