Novel view on classical convexity theory

Vitali Milman, Liran Rotem

Let $B_x\subseteq {\mathbb{R}}^n$ denote the Euclidean ball with diameter $[0,x]$, i.e. with with center at $\frac{x}{2}$ and radius $\frac{|x|}{2}$. We call such a bal…