Kurepa trees and the failure of the Galvin property

Author:

Benhamou Tom,Garti Shimon,Shelah Saharon

Abstract

We force the existence of a non-trivial κ \kappa -complete ultrafilter over κ \kappa which fails to satisfy the Galvin property. This answers a question asked by Benhamou and Gitik [Ann. Pure Appl. Logic 173 (2022), Paper No. 103107].

Funder

Israel Science Foundation

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Non-Galvin filters;Journal of Mathematical Logic;2024-03-22

2. ON COHEN AND PRIKRY FORCING NOTIONS;The Journal of Symbolic Logic;2023-09-11

3. Negating the Galvin property;Journal of the London Mathematical Society;2023-04-24

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