12 citations · 49 across the 35 of their papers we have counts for
6 papers · 1 filter
On -Strongly Measurable Cardinals
Omer Ben-Neria, Yair Hayut
We prove several consistency results concerning the notion of -strongly measurable cardinal in HOD. In particular, we show that is it consistent, relative to a large cardinal hy…
A note on the normal filters extension property
Yair Hayut
We show that if and every normal filter on can be extended to a -complete ultrafilter then so does every -complete filter on . This answers a question…
Perfect Subtree Property for Weakly Compact Cardinals
Yair Hayut, Sandra Müller
We investigate the consistency strength of the statement: is weakly compact and there is no tree on with exactly many branches. We show that this statement fails st…
Dowker filters and Magidor forcing
Shimon Garti, Yair Hayut
We prove that the consistency of the existence of a Dowker filter at along with where is regular and uncountable. Using Magidor forcing we also prove the consis…
Stationary Reflection and the failure of SCH
Omer Ben-Neria, Yair Hayut, Spencer Unger
In this paper we prove that from large cardinals it is consistent that there is a singular strong limit cardinal such that the singular cardinal hypothesis fails at and eve…
Identity crises between supercompactness and Vopenka's Principle
Yair Hayut, Menachem Magidor, Alejandro Poveda
In this paper we study the notion of -supercompactness introduced by Bagaria in \cite{Bag} and prove the identity crises phenomenon for such class. Specifically, we show t…