0410913 20240103182248.320060210235959.9 961-238-045-0 Singapore World Scientific 2002 7 s. 145-151BemelmansJ.BrighiB.BrillardA. extreme points quasiconvexity cav_un_auth*0101142 Kružík Martin UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. 12A IAA1075005 GA AV ČR cav_un_auth*0012782 CEZ:AV0Z1075907 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. cav_un_auth*0212959 European Conference on Elliptic and Parabolic Problems /4./ Rolduc NL 18.06.2001-22.06.2001 BA MTR http://hdl.handle.net/11104/0131000 UTIA-B 20020127 2002 2002 Singapore World Scientific 961-238-045-0 European Conference on Elliptic and Parabolic Problems 145 151 Bemelmans J. 340 Brighi B. 340 Brillard A. 340