Stationary and Closed Rainbow subsets [article]

Shimon Garti, Jing Zhang
2020 arXiv   pre-print
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 ω_1, we uncover some connections between versions of Chang's Conjectures and instances of rainbow Ramsey partition relations, addressing a question raised in .
arXiv:2007.05935v1 fatcat:njmkayay7bhkpenpq4p6tus2vq