3. Convexity in vector spaces
3.1 Convex subsets
Definition (convex subset). Let (E, +, ×) be a real vector space. A non-empty subsetX of E is convex if it contains all closed line segments joining each pair of points belonging to it, or in other words (p. 4 of , p. 1 and p. 215 of
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Convexity in vector spaces
Convexity in topological vector spaces
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