Two new extensions of the Hales-Jewett theorem
The electronic journal of combinatorics, Tome 7 (2000)
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.
DOI :
10.37236/1527
Classification :
05D10, 22A15
Mots-clés : Hales-Jewett theorem, monochromatic, set-polynomial, subword, submatrix
Mots-clés : Hales-Jewett theorem, monochromatic, set-polynomial, subword, submatrix
@article{10_37236_1527,
author = {Randall McCutcheon},
title = {Two new extensions of the {Hales-Jewett} theorem},
journal = {The electronic journal of combinatorics},
year = {2000},
volume = {7},
doi = {10.37236/1527},
zbl = {0957.05104},
url = {http://geodesic.mathdoc.fr/articles/10.37236/1527/}
}
Randall McCutcheon. Two new extensions of the Hales-Jewett theorem. The electronic journal of combinatorics, Tome 7 (2000). doi: 10.37236/1527
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