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arXiv · 0807.1451

A Multidimensional Central Sets Theorem

Mathias Beiglböck
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Abstract

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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Mathias Beiglböck. 2008-07-09. A Multidimensional Central Sets Theorem. https://arxiv.org/abs/0807.1451

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