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A Multidimensional Central Sets Theorem

Published online by Cambridge University Press:  14 August 2006

M. BEIGLBÖCK
M. BEIGLBÖCK
Affiliation:
Department of Discrete Mathematics and Geometry, TU Vienna, 1040 Vienna, Austria (e-mail: mathias.beiglboeck@tuwien.ac.at)
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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.

Information

Type
Paper
Information
Combinatorics, Probability and Computing , Volume 15 , Issue 6 , November 2006 , pp. 807 - 814
Copyright
2006 Cambridge University Press

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