论文标题
固定和封闭的彩虹子集
Stationary and Closed Rainbow subsets
论文作者
论文摘要
我们研究了无数枢机主教的结构化彩虹拉姆西理论。与通常的彩虹拉姆西理论相比，这种变化集中在寻找一个不仅具有一定基数的彩虹子集，而且还满足了某些结构性约束，例如在其超级中处于静止或封闭状态。在处理大于$ω_1$的红衣主教的过程中，我们发现了Chang的猜想版本和Rainbow Ramsey分区关系的实例之间的一些连接，解决了在\ cite {Zhang}中提出的问题。
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 \cite{zhang}.
