Set-polynomials and polynomial extension of the Hales-Jewett Theorem

Vitaly Bergelson, Alexander Leibman

An abstract, Hales-Jewett type extension of the polynomial van der Waerden Theorem [J. Amer. Math. Soc. 9 (1996),725-753] is established: Theorem. Let r,d,q \in \N. There exists N…