Two New Extensions of the Hales-Jewett Theorem

  • Randall McCutcheon
DOI: https://doi.org/10.37236/1527

Abstract

We prove two extensions of the Hales-Jewett coloring theorem. The first is a polynomial version of a finitary case of Furstenberg and Katznelson's multiparameter elaboration of a theorem, due to Carlson, about variable words. The second is an "idempotent" version of a result of Carlson and Simpson.

Published
2000-09-28
Issue
Volume 7 (2000)
Article Number
R49