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math.LO2022★ 2 cited
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…
math.LO2022★ 1 cited
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…