Density Hales-Jewett and Moser numbers

D. H. J. Polymath

For any $n\ge 0$ and $k\ge 1$, the \emph{density Hales-Jewett number} $c_{n,k}$ is defined as the size of the largest subset of the cube $[k{]}^n$ := $\{1,...,k{\}}^n$ which contai…