ABSTRACT

Answer to complaints about use of the term conical when everyone uses some other term

A ray is a half-line with vertex the origin, and every point lies on just one ray, the ray through it, so

a = {at : t ∈ } ⊂ C is the ray through any a∈C(in the commodity space). A cone is a set described by a set of rays, and every set has a conical closure, or cone through it, or projecting it, described by the set of rays through its points. Hence

A = {xt : x ∈ A, t ∈ } ⊂ C is the cone through any A ⊂ C.