On the Inequalities of Projected Volumes and the Constructible Region

Zihan Tan, Liwei Zeng

We study the following geometry problem: given a $2^n-1$ dimensional vector $\pi =\{{\pi }_S{\}}_{S\subseteq [n],S\ne \varnothing }$, is there an object $T\subseteq {\mathbb{R}}^n$ such that $\lo…