Iterated homology and decompositions of simplicial complexes

DOI10.1007/BF02802509zbMath0984.18008OpenAlexW2082919509MaRDI QIDQ5937682

Ping Zhang, Art M. Duval

Publication date: 21 April 2002

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02802509

zbMATH Keywords

simplicial complexeshomologyalgebraic shiftingCohen-Macaulay complexesiterated Betti numbers

Mathematics Subject Classification ID

Related Items (4)

Resolving Stanley's conjecture on $k$-fold acyclic complexes ⋮ A non-partitionable Cohen-Macaulay simplicial complex ⋮ Unnamed Item ⋮ Resolving Stanley's conjecture on \(k\)-fold acyclic complexes

Cites Work

• Unnamed Item
• A combinatorial decomposition of acyclic simplicial complexes
• An extended Euler-Poincaré theorem
• Combinatorial methods in the theory of Cohen-Macaulay rings
• A combinatorial decomposition of simplicial complexes
• Combinatorics and commutative algebra.
• Balanced Cohen-Macaulay Complexes
• Shellable nonpure complexes and posets. II
• Shellable Nonpure Complexes and Posets. I

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