I am learning about convex sets and extreme points from a course on linear programming. I came across a theorem that states that every closed convex set has an extreme point if and only if it does not contain a line. I cannot understand what it means for the convex set to contain a line. Can you provide an example of two convex sets that do and do not contain lines?
2026-03-28 13:20:35.1774704035
Convex sets and extreme points
56 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in CONVEX-GEOMETRY
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