Transversals to colorful intersecting convex sets

Cuauhtemoc Gomez-Navarro, Edgardo Roldán-Pensado

Let $K$ be a compact convex set in ${\mathbb{R}}^2$ and let ${\mathcal{F}}_1,{\mathcal{F}}_2,{\mathcal{F}}_3$ be finite families of translates of $K$ such that $A\cap B\ne \varnothing$…