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arXiv · 2007.05935

Stationary and Closed Rainbow subsets

Shimon Garti·Jing Zhang
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Abstract

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 only is of a certain cardinality but also satisfies certain structural constraints, such as being stationary or closed in its supremum. In the process of dealing with cardinals greater than $\omega_1$, we uncover some connections between versions of Chang's Conjectures and instances of rainbow Ramsey partition relations, addressing a question raised in \cite{zhang}.

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Shimon Garti, Jing Zhang. 2020-07-12. Stationary and Closed Rainbow subsets. https://doi.org/10.1016/j.apal.2020.102887

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