Bibliography

Conference Paper (international conference)

Quasiconvex extreme points of convex sets

Kružík Martin

: European Conference on Elliptic and Parabolic Problems, p. 145-151 , Eds: Bemelmans J., Brighi B., Brillard A.

: World Scientific, (Singapore 2002)

: European Conference on Elliptic and Parabolic Problems /4./, (Rolduc, NL, 18.06.2001-22.06.2001)

: CEZ:AV0Z1075907

: IAA1075005, GA AV ČR

: extreme points, quasiconvexity

(eng): If the quasiconvex hull of a compact set in $R^{mtimes n}$ is convex then also its rank-1 convex hull is convex. In this note we show that a reason for that is in a special structure of quasiconvex extreme points of compact convex sets. In particular, we show that compact convex sets are lamination convex hulls of their quasiconvex extreme points. We also give a clear geometric characterization of quasiconvex extreme points of compact convex sets.

: 12A

: BA