Extreme Points

Definition

Suppose $V$ is a vector space over $\R $ and $A \subset V$. Then $a \in A$ is an extreme point of $A$ if there does not exist not exist $b, c \in V$, $b \neq c$ with $a \in [b, c]$.

Notation

We denote the extreme points of $A$ by $\ex(A)$.