论文标题
结构拉姆西理论中党派引理的分类观点
Categorical view of the Partite Lemma in structural Ramsey Theory
论文作者
论文摘要
我们构造了党派引理的主要对象作为特定图表上的colimit。这给出了partite引理的纯粹类别理论,并确定了对象的构成性。此外,分类的观点使我们能够用solecki的双悬崖引理统一Nešetùil-Rödl定理中的直接部分partite引理。
We construct of the main object of the Partite Lemma as the colimit over a certain diagram. This gives a purely category theoretic take on the Partite Lemma and establishes the canonicity of the object. Additionally, the categorical point of view allows us to unify the direct Partite Lemma in the Nešetřil--Rödl Theorem with the dual Paritite Lemma by Solecki.