13 citations · 23 across the 9 of their papers we have counts for
4 papers · 2 filters
The Gluing Property
Yair Hayut, Alejandro Poveda
We introduce a new compactness principle which we call the gluing property. For a measurable cardinal and a cardinal , we say that has the -gluing property if every s…
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…
Sigma-Prikry forcing III: Down to Aleph_omega
Alejandro Poveda, Assaf Rinot, Dima Sinapova
We prove the consistency of the failure of the singular cardinals hypothesis at together with the reflection of all stationary subsets of . This shows that…
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…