Definition:Convex Set (Vector Space)

Definition
Let $\Bbb F \in \set {\R, \C}$.

Let $V$ be a vector space over $\Bbb F$.

Let $C \subseteq V$.

Also see

 * Equivalence of Definitions of Convex Set in Vector Space


 * Linear Subspace is Convex Set
 * Singleton is Convex Set
 * Intersection of Convex Sets is Convex Set