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Onf-vectors and Betti numbers of multicomplexes

✍ Scribed by Anders Björner; Siniša Vrećica

Publisher: Springer-Verlag
Year: 1997
Tongue: English
Weight: 638 KB
Volume: 17
Category: Article
ISSN: 0209-9683
DOI: 10.1007/bf01196131

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A simplicial complex 2 on the vertex set V=[x 1 , x 2 , ..., x v ] is a collection of subsets of V such that (i) Let H i (2; k) denote the ith reduced simplicial homology group of 2 with the coefficient field k. Note that H &1 (2; k)=0 if 2{[<], H &1 ([<]; k)$k, and H i ([<]; k)=0 for each i 0. We