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MiS Preprint
39/1999
Bauer's maximum principle and hulls of sets
Martin Kruzik
Abstract
We use the Bauer maximum principle for quasiconvex, polyconvex and rank- one convex functions to derive Krein-Milman-type theorems for compact sets in Rm x n. Further we show that in general a set of quasiconvex extreme points is not invariant under transposition and it is different from the set of rank-one convex extreme points.
