bibtype	C - Conference Paper (international conference)
ARLID	0410913
utime	20240103182248.3
mtime	20060210235959.9
ISBN	961-238-045-0
title (primary) (eng)	Quasiconvex extreme points of convex sets
publisher	place Singapore name World Scientific pub_time 2002
specification	page_count 7 s.
serial	title European Conference on Elliptic and Parabolic Problems page_num 145-151 editor name1 Bemelmans name2 J. editor name1 Brighi name2 B. editor name1 Brillard name2 A.
keyword	extreme points
keyword	quasiconvexity
author (primary)	ARLID cav_un_auth*0101142 name1 Kružík name2 Martin institution UTIA-B full_dept Department of Decision Making Theory fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
COSATI	12A
cas_special	project project_id IAA1075005 agency GA AV ČR ARLID cav_un_auth*0012782 research CEZ:AV0Z1075907 abstract (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. action ARLID cav_un_auth*0212959 name European Conference on Elliptic and Parabolic Problems /4./ place Rolduc country NL dates 18.06.2001-22.06.2001 RIV BA department MTR permalink http://hdl.handle.net/11104/0131000 ID_orig UTIA-B 20020127 arlyear 2002 mrcbU10 2002 mrcbU10 Singapore World Scientific mrcbU12 961-238-045-0 mrcbU63 European Conference on Elliptic and Parabolic Problems 145 151 mrcbU67 Bemelmans J. 340 mrcbU67 Brighi B. 340 mrcbU67 Brillard A. 340