2 problems

Partition characterization. Every minimal halfspace with respect to ${\mathcal P}$ has the form

Let ${\mathcal B}^d=[0,1]^d$ be the $d$-dimensional box equipped with max-T convexity, and let $X$ be a set of $(d+1)(r-1)+1$ points in ${\mathcal B}^d$. Tverberg's theorem for max…