Measurable colorings of $S^2_r$

Abstract

We show that $\chi_m(\mathbb{S}_r^2)$, the measurable chromatic number of the sphere of radius $r$, is at least 5 for almost all spheres with $r > \frac{1}{\sqrt{3}}$.

Publication
Geombinatorics
Bounds on the chromatic number of spheres of small radii.