论文标题
链产品的拉姆西特性
Ramsey properties of products of chains
论文作者
论文摘要
令$ \ mathbf {k} $表示$ k $元素上的完全有序集(或链)。产品$ \ mathbf {k}^t = \ mathbf {k} \ times \ cdots \ times \ times \ times \ mathbf {k} $是一个称为网格的poset。本文讨论了关于拉姆西电网理论的几个松散相关的结果。大多数结果涉及产品Ramsey定理的某些应用。
Let $\mathbf{k}$ denote the totally ordered set (or chain) on $k$ elements. The product $\mathbf{k}^t=\mathbf{k}\times\cdots\times\mathbf{k}$ is a poset called a grid. This paper discusses several loosely related results on the Ramsey theory of grids. Most of the results involve some application of the Product Ramsey Theorem.