Supporting hyperplane + Hahn-Banach separation of convex sets

Layer 0 — Mathematicsin the convex-geometry subtree

Supporting hyperplane theorem: at every boundary point x₀ of a convex set C in a normed space there exists a supporting hyperplane H = {x : a · x = b} through x₀ such that C is contained in the closed half-space {x : a · x ≤ b}. …

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