On \(f\)-vectors and Betti numbers of multicomplexes

DOI10.1007/BF01196131zbMath0886.55004MaRDI QIDQ1382396

Siniša T. Vrećica, Anders Bjoerner

Publication date: 26 March 1998

Published in: Combinatorica (Search for Journal in Brave)

zbMATH Keywords

Betti numberscell complexesmulticomplexes\(f\)-vectors

Mathematics Subject Classification ID

Enumerative combinatorics (05A99) Homology and cohomology theories in algebraic topology (55N99) Classical topics in algebraic topology (55M99)

Related Items

Linear colorings of simplicial complexes and collapsing, A generalized Macaulay theorem and generalized face rings, A cell complex in number theory

Cites Work

• Characterization of f-vectors of families of convex sets in \({\mathbb{R}}^ d\). I: Necessity of Eckhoff's conditions
• An extended Euler-Poincaré theorem
• Hilbert functions of graded algebras
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• A generalization of a combinatorial theorem of macaulay
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