4 papers
On the Intermediate Models of Strongly Compact Prikry Forcing
Tom Benhamou, Sebastiano Thei, Ben-Zion Weltsch
We analyze the intermediate models of the strongly compact Prikry forcing. We exhibit a simple combinatorial property which, for a given supercompact cardinal , characterize th…
Applications of the Magidor Iteration to Ultrafilter Theory
Tom Benhamou, Gabriel Goldberg
We characterize sums of normal ultrafilters after the Magidor iteration (product) of Prikry forcings over a discrete set of measurable cardinals. We apply this to show that the wea…
The Galvin property under the Ultrapower Axiom
Tom Benhamou, Gabriel Goldberg
We continue the study of the Galvin property from \cite{bgs} and \cite{Benhamou2}. In particular, we deepen the connection between certain diamond-like principles and non-Galvin ul…
Saturation Properties of Ultrafilters in Canonical Inner Models
Tom Benhamou
We improve Galvin's Theorem for ultrafilters which are p-point limits of p-points. This implies that in all the canonical inner models up to a superstrong cardinal, every -comp…