Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Incidence algebras of simplicial complexes   With any locally finite partially ordered set $K$ its incidence algebra
$\Omega(K)$ is associated. We shall consider algebras over fields with
characteristic zero. In this case there is a correspondence $K \leftrightarrow
\Omega(K)$ such that the poset $K$ can be reconstructed from its incidence
algebra up to an isomorphism -- due to Stanley theorem. In the meantime, a
monotone mapping between two posets in general induces no homomorphism of their
incidence algebras.
  In this paper I show that if the class of posets is confined to simplicial
complexes then their incidence algebras acquire the structure of differential
moduli and the correspondence $K\leftrightarrow\Omega(K)$ is a contravariant
functor.

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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: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc