Math 2.0

Convex and discrete geometry Convex sets: basic notions Concept

Open segment

Summary

The open segment between two points is the line segment between them with the two endpoints removed, when the points are distinct. Open segments appear in the definitions of extreme points, extreme sets and faces. These notions ask what happens when a point of a set lies strictly between two other points. They also define strict convexity of sets.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Line_segment
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