Higher rank antipodality

Márton Naszódi, Zsombor Szilágyi, Mihály Weiner

Motivated by general probability theory, we say that the set $S$ in ${\mathbb{R}}^d$ is \emph{antipodal of rank $k$}, if for any $k+1$ elements $q_1,\dots q_{k+1}\in S$, there is an…