In mathematics, an extreme point of a convex set S in a real vector space is a point in S which does not lie in any open line segment joining two points of S. Intuitively, an extreme point is a "vertex" of S.
The Krein–Milman theorem states that if S is convex and compact in a locally convex space, then S is the closed convex hull of its extreme points: In particular, such a set has extreme points.
The Krein–Milman theorem is stated for locally convex topological vector spaces. The next theorems are stated for Banach spaces with the Radon–Nikodym property:
A theorem of Joram Lindenstrauss states...
Background: Representing polynomials by positive linear functions on compact convex polyhedra by David Handelman
Consider a polynomial $f\in K[x_1,\ldots,x_n]$ in a compact polytope, related question on trying to formulate the polytope algebraically, where each variable $x_i$ is defined in s...
There is convex-hulls tag, it even has tag excerpt. However, to me this tag seems a bit too narrow to be really useful. I would suggest to make it a synonym of convex-analysis.
What do you think?
Problem: I feel that there are quite a number of questions tagged with both general-topology AND algebraic-topology where the former is not really fitting.
My understanding being that General Topology in common usage does not mean "Topology in general" so all of Topology, and neither should the ...
