Definition 4.3.2 (Extreme Subset).label Let $E$ be a vector space over $\R$, $K\suf E$ be convex, and $A\suf K$, then $A$ is an extreme set if for any $x\in A$ and $y,z\in K$ such that $x\in (y,z)$ we have $y,z\in A$.

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