On the Cohen-Macaulay connectivity of supersolvable lattices and the homotopy type of posets

DOI10.1016/0195-6698(95)90021-7zbMath0833.06007OpenAlexW1976877401MaRDI QIDQ1896340

Volkmar Welker

Publication date: 17 March 1996

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0195-6698(95)90021-7

zbMATH Keywords

wedge of spheressupersolvable latticeMöbius numberhomotopy type of posetsStanley- Reisner ring2-Cohen-Macaulay posets

Mathematics Subject Classification ID

Algebraic aspects of posets (06A11)

Related Items

\(g\)-elements, finite buildings and higher Cohen-Macaulay connectivity., A poset fiber theorem for doubly Cohen-Macaulay posets and its applications.

Cites Work

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• Face number inequalities for matroid complexes and Cohen-Macaulay types of Stanley-Reisner rings of distributive lattices
• Homotopy types of subspace arrangements via diagrams of spaces
• Cohen-Macaulay types of Cohen-Macaulay complexes
• Homotopy limits and colimits
• Cohen-Macaulay connectivity and geometric lattices
• A homotopy complementation formula for partially ordered sets
• The homology of ``\(k\)-equal manifolds and related partition lattices
• Combinatorial properties of intervals in finite solvable groups
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• Supersolvable lattices
• Homotopy limits, completions and localizations
• Shellable and Cohen-Macaulay Partially Ordered Sets
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]