A general Ramsey product theorem

Author:

Graham R. L.,Spencer J. H.

Abstract

Call a family F \mathcal {F} of subsets of a set U Ramsey if no partition of U into finitely many parts can split every F F F \in \mathcal {F} . We show that under very general conditions an arbitrary collection of Ramsey families in fact has a much stronger uniform Ramsey property.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference4 articles.

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3. Studien zur Kombinatorik;Rado, Richard;Math. Z.,1933

4. B. L. van der Waerden, Beweis einer Baudetschen Vermutung, Nieuw Arch. Wisk. 15 (1927), 212-216.

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Product Theorems;Ramsey Theory for Discrete Structures;2013

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