An infinitary polynomial Hales-Jewett theorem
Abstract
A joint extension of H. Furstenberg's central sets theorem, the Hales-Jewett coloring theorem and the polynomial van der Waerden theorem of V. Bergelson and A. Leibman is obtained by an elaboration on Furstenberg and Y. Katznelson's approach to infinitary Ramsey theory via the enveloping semigroup.
Publication Title
Israel Journal of Mathematics
Recommended Citation
McCutcheon, R. (2001). An infinitary polynomial Hales-Jewett theorem. Israel Journal of Mathematics, 121, 157-172. https://doi.org/10.1007/BF02802502
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