Minkowski-Weyl: Convexity and Separation Theorem

This lecture covers the concept of convex sets, the Minkowski-Weyl theorem, and the Separation theorem in convex analysis. It explains the conditions for a set to be convex, provides a sketch of the proof for the Minkowski-Weyl theorem, and discusses the existence of inequalities for closed and convex sets. The lecture also delves into polyhedral cones, compactness, and the properties of polyhedral sets.