Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polyhedral Representation of Discrete Morse Functions on Regular CW
  Complexes and Posets   It is proved that every discrete Morse function in the sense of Forman on a
finite regular CW complex can be represented by a polyhedral Morse function in
the sense of Banchoff on an appropriate embedding in Euclidean space of the
barycentric subdivision of the CW complex; such a representation preserves
critical points. The proof is stated in terms of discrete Morse functions on a
class of posets that is slightly broader than the class of face posets of
finite regular CW complexes.

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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th