grandes-ecoles 2022 Q15

grandes-ecoles · France · x-ens-maths__psi Proof Direct Proof of a Stated Identity or Equality

Let $K$ be a non-empty, convex, closed and bounded subset of $\mathbb{R}^d$. Show that $K = \operatorname{co}(\operatorname{Ext}(K))$.

Let $K$ be a non-empty, convex, closed and bounded subset of $\mathbb{R}^d$. Show that $K = \operatorname{co}(\operatorname{Ext}(K))$.