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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A general Ramsey product theorem
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by R. L. Graham and J. H. Spencer PDF
Proc. Amer. Math. Soc. 73 (1979), 137-139 Request permission

Abstract:

Call a family $\mathcal {F}$ of subsets of a set U Ramsey if no partition of U into finitely many parts can split every $F \in \mathcal {F}$. We show that under very general conditions an arbitrary collection of Ramsey families in fact has a much stronger uniform Ramsey property.
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Additional Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 73 (1979), 137-139
  • MSC: Primary 05C55
  • DOI: https://doi.org/10.1090/S0002-9939-1979-0512076-0
  • MathSciNet review: 512076