English

Ultrafilters: Where topological dynamics = algebra = combinatorics

Logic 2009-09-25 v1

Abstract

We survey some connections between topological dynamics, semigroups of ultrafilters, and combinatorics. As an application, we give a proof, based on ideas of Bergelson and Hindman, of the Hales-Jewett partition theorem.

Keywords

Cite

@article{arxiv.math/9309203,
  title  = {Ultrafilters: Where topological dynamics = algebra = combinatorics},
  author = {Andreas Blass},
  journal= {arXiv preprint arXiv:math/9309203},
  year   = {2009}
}