10 citations · 20 across the 12 of their papers we have counts for
13 papers
A non-trivially non-trivial automorphism at an inaccessible cardinal
Márk Poór, Jing Zhang
We show that, relative to the existence of an inaccessible cardinal, it is consistent that for an inaccessible cardinal , there is a non-trivial automorphism of $\mathcal{P}(κ)/…
A Topological Rainbow Ramsey Theorem
Hannes Jakob, Jing Zhang
We show that it is consistent relative to the existence of suitable large cardinals that for any countable-to-one coloring , there exists a closed subset $A\subs…
Transferring Compactness
Tom Benhamou, Jing Zhang
We demonstrate that the technology of Radin forcing can be used to transfer compactness properties at a weakly inaccessible but not strong limit cardinal to a strongly inaccessible…
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…
Compactness and Guessing Principles in the Radin Extensions
Omer Ben-Neria, Jing Zhang
We investigate the interaction between compactness principles and guessing principles in the Radin forcing extensions. In particular, we show that in any Radin forcing extension wi…
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…
Transformations of the transfinite plane
Assaf Rinot, Jing Zhang
We study the existence of transformations of the transfinite plane that allow one to reduce Ramsey-theoretic statements concerning uncountable Abelian groups into classical partiti…
Reflection principles, GCH and the uniformization properties
Jing Zhang
Reflection principles (or dually speaking, compactness principles) often give rise to combinatorial guessing principles. Uniformization properties, on the other hand, are examples…
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…
A tail cone version of the Halpern-Läuchli theorem at a large cardinal
Jing Zhang
The classical Halpern-Läuchli theorem states that for any finite coloring of a finite product of finitely branching perfect trees of height , there exist strong subtrees sharing…