Exposed point
In mathematics, an exposed point of a convex set is a point at which some continuous linear functional attains its strict maximum over. Such a functional is then said to expose. Note that there can be many exposing functionals for. The set of exposed points of is usually denoted.
A stronger notion is that of strongly exposed point of which is an exposed point such that some exposing functional of attains its strong maximum over at, i.e. for each sequence we have the following implication:. The set of all strongly exposed points of is usually denoted.
There are two weaker notions, that of extreme point and that of support point of.
