论文标题

链产品的拉姆西特性

Ramsey properties of products of chains

论文作者

Biró, Csaba, Wan, Sida

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.

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