Convexity properties of space curves

Abstract

A set S is called convex if, for all points P , Q of S, the line segment PQ is contained in S. A simple closed planar curve and a simple closed surface are not convex by this definition, but they are called ‘‘convex’’ if they are boundaries of convex sets, and similarly a planar arc is called ‘‘convex’’ if it is a subset of the boundary of a convex set… (More)
DOI: 10.1016/S0167-8655(03)00096-5

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