Convex Cone - Proper Convex Cone

Proper Convex Cone

The term proper (convex) cone is variously defined, depending on the context. It often means a salient convex cone that is not contained in any hyperplane of V, possibly with other conditions such as topologically closed (and hence pointed), or topologically open (and hence blunt). Some authors use the term "wedge" for what this article calls a convex cone, and reserve "cone" for what this article calls a salient pointed cone or for one of the notions of proper cone just described.