13 citations · 23 across the 9 of their papers we have counts for
4 papers · 2 filters
Sigma-Prikry forcing II: Iteration Scheme
Alejandro Poveda, Assaf Rinot, Dima Sinapova
In Part I of this series, we introduced a class of notions of forcing which we call Sigma-Prikry, and showed that many of the known Prikry-type notions of forcing that center aroun…
Sigma-Prikry forcing I: The Axioms
Alejandro Poveda, Assaf Rinot, Dima Sinapova
We introduce a class of notions of forcing which we call -Prikry, and show that many of the known Prikry-type notions of forcing that centers around singular cardinals of counta…
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…
The tree property at first and double successors of singular cardinals with an arbitrary gap
Alejandro Poveda
Let and be a supercompact cardinal with . Assume that there is an increasing and continuous sequence of cardinals with $κ_0…