A cone theoretic Krein-Milman theorem in semi topological cones

In this paper, a Krein-Milman type theorem in T0 semi topological cone is proved, in general. In fact, it is shown that in any locally convex T0 semi topological cone, every convex compact saturated subset is the compact saturated convex hull of its extreme points, which improves the results of Larrecq.

Keywords:

T0 topology , Extreme Point , Krein-Milman type theorem