12 citations · 49 across the 35 of their papers we have counts for
5 papers · 1 filter
Global Chang's Conjecture and singular cardinals
Monroe Eskew, Yair Hayut
We investigate the possibilities of global versions of Chang's Conjecture that involve singular cardinals. We show some limitations on such principles, and prove rel…
Critical Cardinals
Yair Hayut, Asaf Karagila
We introduce the notion of a critical cardinal as the critical point of sufficiently strong elementary embedding between transitive sets. Assuming the axiom of choice this is equiv…
Stationary Reflection
Yair Hayut, Spencer Unger
We improve the upper bound for the consistency strength of stationary reflection at successors of singular cardinals.
Partial strong compactness and squares
Yair Hayut
In this paper we analyze the connection between some properties of partially strongly compact cardinals: the completion of filters of certain size and instances of the compactness…
The first omitting cardinal for Magidority
Shimon Garti, Yair Hayut
We prove that can be successor of a supercompact cardinal, when is a Magidor cardinal. From this result we obtain the consistency of being a successor of a si…