Shadow systems of convex sets
- Cite this article as:
- Shephard, G.C. Israel J. Math. (1964) 2: 229. doi:10.1007/BF02759738
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Ans-system of convex sets is the system of shadows of a given convex set cast on to a subspace by a beam of light whose direction varies. Here the convexity properties ofs-systems are investigated, and, in the final section, a relationship with the projection functions of convex sets is established.