The Borsuk Problem for Subsets of the Vertices of the 10-Dimensional Boolean Cube

Igor Batmanov, Vsevolod Voronov

In the papers Ziegler(2001) and Goldstein(2012) it was previously shown that any subset of the Boolean cube $S\subset \{0,1{\}}^n$ for $n\le 9$ can be partitioned into $n+1$ p…