Milliken–Taylor theorem

id: milliken-taylor-theorem-202-13816682
title: Milliken–Taylor theorem
text: In mathematics, the Milliken–Taylor theorem in combinatorics is a generalization of both Ramsey's theorem and Hindman's theorem. It is named after Keith Milliken and Alan D. Taylor. Let P f denote the set of finite subsets of N , and define a partial order on P f by α<β if and only if max α 0, let Let [ S ] k denote the k-element subsets of a set S. The Milliken–Taylor theorem says that for any finite partition [ N ] k = C 1 ∪ C 2 ∪
brand slug: wiki
category slug: encyclopedia
description: Generalization of both Ramsey's theorem and Hindman's theorem
original url: https://en.wikipedia.org/wiki/Milliken%E2%80%93Taylor_theorem
date created:
date modified: 2023-08-18T08:38:11Z
main entity: {"identifier":"Q6859648","url":"https://www.wikidata.org/entity/Q6859648"}
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