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- W2952976100 abstract "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." @default.
- W2952976100 created "2019-06-27" @default.
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- W2952976100 date "2013-07-05" @default.
- W2952976100 modified "2023-09-27" @default.
- W2952976100 title "A classification of the face numbers of Buchsbaum simplicial posets" @default.
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