Exposed point

In mathematics, an exposed point of a convex set

at which some continuous linear functional attains its strict maximum over

[1] Such a functional is then said to expose

There can be many exposing functionals for

The set of exposed points of

A stronger notion is that of strongly exposed point of

such that some exposing functional

attains its strong maximum over

The set of all strongly exposed points of

str ⁡ exp ⁡ (

There are two weaker notions, that of extreme point and that of support point of

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