Directional end of a convex set: theory and applications.
The end of a nonempty convex set \(C\) in a given direction u (directional end) consists of all those points for which u is not a feasible direction with respect to \(C\). The authors discuss the properties of the directional end of general (closed) convex sets: its relation to quasipolyhedral sets and to the facial structure of \(C\), the characterizations of the extreme points and the full-dimensionality of \(C\) as well as its connection to the illumination of closed convex sets. Finally, these results are applied to the feasible set of an infinite linear inequality system.
scientific article; zbMATH DE number 1779070