A subset S of X is called convex if the segment [x,y] (cf. 3.C) is contained in S for every x, y ∈ S. A weaker condition is that defining star-shaped sets: S is star-shaped with center a ∈ X if [a, x] c S for every x ∈ S. In R convex sets are the same as intervals.
KeywordsConvex Hull Affine Space Convex Compact Subset Affine Subspace Euclidean Vector Space
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