Definition:Star Convex Set/Star Center

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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 $A$.


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