Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Possibilities Determine the Combinatorial Structure of Probability
  Polytopes   We study the set of no-signalling empirical models on a measurement scenario,
and show that the combinatorial structure of the no-signalling polytope is
completely determined by the possibilistic information given by the support of
the models. This is a special case of a general result which applies to all
polytopes presented in a standard form, given by linear equations together with
non-negativity constraints on the variables.

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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph