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On common summands and anti-summands of compact convex sets

Grzybowski J., Urbański A., Wiernowolski M.

Bulletin of the Polish Academy of Sciences. Mathematics

1999

Vol. 47, no 1

69-76

In this paper we examine families of common summands and anti-summands of compact convex sets. In particular, we prove the equivalence of minimality problems for common anti-summands and minimal pairs of compact convex sets. We also give partial answers to the question whether minimal anti-summands of polytopes are polytopes as well.