27 citations · 138 across the 42 of their papers we have counts for
5 papers · 1 filter
Knaster and friends II: The C-sequence number
Chris Lambie-Hanson, Assaf Rinot
Motivated by a characterization of weakly compact cardinals due to Todorcevic, we introduce a new cardinal characteristic, the C-sequence number, which can be seen as a measure of…
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…
Partitioning a reflecting stationary set
Maxwell Levine, Assaf Rinot
We address the question of whether a reflecting stationary set may be partitioned into two or more reflecting stationary subsets, providing various affirmative answers in ZFC. As a…
Inclusion modulo nonstationary
Gabriel Fernandes, Miguel Moreno, Assaf Rinot
A classical theorem of Hechler asserts that the structure is universal in the sense that for any -directed poset P with no maximal element, there is a c…