Two new extensions of the Hales-Jewett theorem
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.
Electronic Journal of Combinatorics
McCutcheon, R. (2000). Two new extensions of the Hales-Jewett theorem. Electronic Journal of Combinatorics, 7 (1 R), 1-18. https://doi.org/10.37236/1527