A Multidimensional Central Sets Theorem
Combinatorics
2008-07-10 v1
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.
Cite
@article{arxiv.0807.1451,
title = {A Multidimensional Central Sets Theorem},
author = {Mathias Beiglböck},
journal= {arXiv preprint arXiv:0807.1451},
year = {2008}
}