2 problems

Schechtman's sparsification conjecture. Is there a universal constant $C$ such that there is a zonotope $\widetilde Z$ generated by at most

Let $\mathcal S \subseteq 2^{[m]}$ be a set system, let $w:[m]\rightarrow\mathbb{R}_{\geq 0}$ be weights, and let $\epsilon>0$. Write $\operatorname{CL}(\mathcal S)$ for the chain…