Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The minimum principle for affine functions with the point of continuity
  property and isomorphisms of spaces of continuous affine function   Let X be a compact convex set and let ext X stand for the set of extreme
points of X. We show that an affine function with the point of continuity
property on X satisfies the minimum principle. As a corollary we obtain a
generalization of a theorem by H.B. Cohen and C.H. Chu by proving the following
result. Let X,Y be compact convex sets such that every extreme point of X and Y
is a weak peak point and let the Banach-Mazur distance between spaces of affine
continuous functions on X and Y is smaller then 2. Then ext X is homeomorphic
to ext Y.

20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org