科研之友
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摘要
The family of Buchsbaum simplicial posets generalizes the family of simplicial cell manifolds. The -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 -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 -vectors of Buchsbaum simplicial posets with prescribed Betti numbers.
- 出版日期2014-8
