A Multidimensional Central Sets Theorem

Details A Multidimensional Central Sets Theorem A Multidimensional Central Sets Theorem

2008-07-09

arxiv.org/abs/0807.1451v1

Combin. Probab. Comput., 15, 2006, 807-814

Mathematics

Combinatorics

Scientific paper

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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