Further Consequences of the Colorful Helly Hypothesis

Leonardo Martínez-Sandoval, Edgardo Roldán-Pensado, Natan Rubin

Let $\mathcal{F}$ be a family of convex sets in ${\mathbb{R}}^d$, which are colored with $d+1$ colors. We say that $\mathcal{F}$ satisfies the Colorful Helly Property if every rainb…