13 citations · 46 across the 15 of their papers we have counts for
4 papers · 1 filter
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 -compl…
Non-Galvin Filters
Tom Benhamou, Shimon Garti, Moti Gitik +1
We address the question of the consistency strength of certain filters and ultrafilters which fail to satisfy the Galvin property. We answer questions \cite[Questions 7.8,7.9]{TomM…
Galvin's property at large cardinals and an application to partition calculus
Tom Benhamou, Shimon Garti, Alejandro Poveda
In the first part of this paper, we explore the possibility for a very large cardinal to carry a -complete ultrafilter without Galvin's property. In this context, we prove t…
On Cohen and Prikry Forcing Notions
Tom Benhamou, Moti Gitik
We show that it is possible to add Cohen subsets to with a Prikry forcing over . This answers a question from \cite{HayutBenhanouGitik}. A strengthening of non-Galvin…