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A Multidimensional Central Sets Theorem
Published online by Cambridge University Press: 14 August 2006
Abstract
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The theorems of Hindman and van der Waerden belong to the classical theorems of partition Ramsey Theory. The Central Sets Theorem is a strong simultaneous extension of both theorems that applies to general commutative semigroups. We give a common extension of the Central Sets Theorem and Ramsey's theorem.
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