Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A classification of the face numbers of Buchsbaum simplicial posets   The family of Buchsbaum simplicial posets generalizes the family of
simplicial cell manifolds. The $h'$-vector of a simplicial complex or
simplicial poset encodes the combinatorial and topological data of its face
numbers and the reduced Betti numbers of its geometric realization. Novik and
Swartz showed that the $h'$-vector of a Buchsbaum simplicial poset satisfies
certain simple inequalities; in this paper we show that these necessary
conditions are in fact sufficient to characterize the $h'$-vectors of Buchsbaum
simplicial posets with prescribed Betti numbers.

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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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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: bayes-an
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The categories of this paper are: nucl-ex