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arXiv · 2111.11823

Kurepa trees and the failure of the Galvin property

Tom Benhamou·Shimon Garti·Saharon Shelah
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Abstract

We force the existence of a non-trivial $\kappa$-complete ultrafilter over $\kappa$ which fails to satisfy the Galvin property. This answers a question asked by the first author and Moti Gitik.

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Tom Benhamou, Shimon Garti, Saharon Shelah. 2021-11-23. Kurepa trees and the failure of the Galvin property. https://doi.org/10.1090/proc%2F16198

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