6. Convex Geometry
The fourth general mathematical framework is that of convex geometry, which is the branch of geometry that deals with convex sets and, more generally, star sets in vector spaces.
6.1 Convex sets
Definition (convex subset). A nonempty subset X of is convex (convex set) if it contains all the closed line segments connecting each pair of points in the set; in other words:
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Convex Geometry
Geometric Topology
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