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Note on a combinatorial application of Alexander duality

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Publication:1369739
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DOI10.1006/jcta.1997.2794zbMath0882.06001OpenAlexW1984761542MaRDI QIDQ1369739

Lynne M. Butler, Andrey O. Matveev, Anders Bjoerner

Publication date: 12 March 1998

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/bbbd860abe324323c4d6f269ba8bce2d51fe64e5


zbMATH Keywords

cohomologyalgebraic topologyhomologyAlexander dualityorder complexnerve lemmaincomparability graphfinite simplicial complex


Mathematics Subject Classification ID

General topology of complexes (57Q05) Combinatorics of partially ordered sets (06A07) Planar graphs; geometric and topological aspects of graph theory (05C10) Duality in algebraic topology (55M05)


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Representability and boxicity of simplicial complexes ⋮ RELATIVE LERAY NUMBERS VIA SPECTRAL SEQUENCES ⋮ Regularity of edge ideals of \(C_{4}\)-free graphs via the topology of the lcm-lattice ⋮ Domination numbers and homology ⋮ Relative blocking in posets ⋮ Complexes of graphs with bounded independence number ⋮ Note: Combinatorial Alexander duality -- a short and elementary proof



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