On the hollow enclosed by convex sets

Jenő Lehel, Géza Tóth

For $n\le d$, a family $\mathcal{F}=\{C_0,C_1,\dots ,C_n\}$ of compact convex sets in $R^d$ is called an $n$-critical family provided any $n$ members of $\mathcal{F}$ have a non-empty…