f-vectors of acyclic complexes

DOI10.1016/S0012-365X(85)80024-8zbMath0579.57015OpenAlexW2051820162MaRDI QIDQ1067262

Gil Kalai

Publication date: 1985

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(85)80024-8

zbMATH Keywords

Euler characteristicf-vectorsacyclic simplicial complexes

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Chain complexes in algebraic topology (55U15) PL-topology (57Q99)

Related Items

The structure of DGA resolutions of monomial ideals ⋮ Families of convex sets having convex union ⋮ Resolving Stanley's conjecture on $k$-fold acyclic complexes ⋮ An extended Euler-Poincaré theorem ⋮ Frames and degenerations of monomial resolutions ⋮ A combinatorial decomposition of acyclic simplicial complexes ⋮ Betti numbers of chordal graphs and \(f\)-vectors of simplicial complexes ⋮ Resolving Stanley's conjecture on \(k\)-fold acyclic complexes

Cites Work

• Enumeration of \({\mathbb{Q}}\)-acyclic simplicial complexes
• Characterization of f-vectors of families of convex sets in \({\mathbb{R}}^ d\). I: Necessity of Eckhoff's conditions
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