Definition:Star Convex Set/Star Center

Definition
Let $V$ be a vector space over $\R$ or $\C$.

Let $A \subseteq V$ be a star convex set:


 * $\exists a \in A: \forall x \in A: \forall t \in \closedint 0 1: t x + \paren {1 - t} a \in A$

The point $a \in A$ is called a star center of $A$.