Hadwiger and Helly-type theorems for disjoint unit spheres

Otfried Cheong, Xavier Goaoc, Andreas Holmsen +1

We prove Helly-type theorems for line transversals to disjoint unit balls in ${\mathbb{R}}^d$. In particular, we show that a family of $n\ge 2d$ disjoint unit balls in ${\mathbb{R}}^d$ has a line…