6 papers
Approximating diamond principles on products at an inaccessible cardinal
Omer Ben-Neria, Jing Zhang
We isolate \emph{the approximating diamond principles}, which are consequences of the diamond principle at an inaccessible cardinal. We use these principles to find new methods for…
Complicated colorings, revisited
Assaf Rinot, Jing Zhang
In a paper from 1997, Shelah asked whether holds for every inaccessible cardinal . Here, we prove that an affirmative answer follows from . F…
Strongest transformations
Assaf Rinot, Jing Zhang
We continue our study of maps transforming high-dimensional complicated objects into squares of stationary sets. Previously, we proved that many such transformations exist in ZFC,…
Stationary and Closed Rainbow subsets
Shimon Garti, Jing Zhang
We study the structured rainbow Ramsey theory at uncountable cardinals. When compared to the usual rainbow Ramsey theory, the variation focuses on finding a rainbow subset that not…
Monochromatic Sumset Without the use of large cardinals
Jing Zhang
We show in this note that in the forcing extension by , the following Ramsey property holds: for any and any , there exists an infinite…
Some remarks on uncountable rainbow Ramsey theory
Jing Zhang
We discuss the rainbow Ramsey theorems at limit cardinals and successors of singular cardinals, addressing some questions in \cite{MR2354904} and \cite{MR2902230}. In particular, w…