Kurepa trees and the failure of the Galvin property

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.

References in corpus (1)

• Intermediate Models of Magidor-Radin Forcing- Part II

Cited by in corpus (4)

• Negating the Galvin Property
• On Cohen and Prikry Forcing Notions
• Non-Galvin Filters
• Galvin's property at large cardinals and an application to partition calculus