2 problems

Let $P$ and $Q$ be the outer and inner polytopes associated with the nested polytope problem NPP($\mathcal{P}^{\bar{\alpha}}(M)$), and let $m$ and $n$ denote the dimensions governi…

Let $M$ satisfy … and suppose that $\operatorname{conv}(\theta(\mathcal{P}(M)))$ has at least $k+1$ vertices. Let $\bar{\alpha}$ be defined as in Equation. The arbitrary-rank finit…