
Journal of Convex Analysis 07 (2000), No. 1, 019046 Copyright Heldermann Verlag 2000 RankOne Connections at Infinity and Quasiconvex Hulls Kewei Zhang Dept. of Mathematics, Macquarie University, Sydney, NSW 2109, Australia We define prankone connections at infinity for an unbounded set K in M^{N×n} and show that the quasiconvex hull Q_{p}(K) may be bigger than K if K has a prankone connection, where Q_{p}(K) is the zero set of the quasiconvex relaxation of the pdistance function to K. We examine some examples and compare Q_{p}(K) with Q_{p}(K)  a more restrictive quasiconvex hull of K. [ Fulltextpdf (296 KB)] 