Simplifying inclusion-exclusion formulas

Xavier Goaoc, Jiří Matoušek, Pavel Paták +2

Let $\mathcal{F}=\{F_1,F_2,\dots ,F_n\}$ be a family of $n$ sets on a ground set $S$, such as a family of balls in ${\mathbb{R}}^d$. For every finite measure $\mu$ on $S$, such that t…