A geometric duality for order complexes and hyperplane complements

DOI10.1016/S0195-6698(05)80014-9zbMath0769.55002OpenAlexW2089397329MaRDI QIDQ1199772

Michael J. Falk

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.1016/s0195-6698(05)80014-9

zbMATH Keywords

cohomologyAlexander dualityorder complexlinkhyperplane complementscomplex hyperplanesintersection latticeorder homologyAlexander duality mappingrealization of the order complex

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Homology and cohomology theories in algebraic topology (55N99) Duality in algebraic topology (55M05)

Related Items (1)

Nets in \(\mathbb{P}^2\) and Alexander duality

Cites Work

• A homotopy complementation formula for partially ordered sets
• Singular Points of Complex Hypersurfaces. (AM-61)
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