A homotopy complementation formula for partially ordered sets

DOI10.1016/S0195-6698(83)80003-1zbMath0508.06005OpenAlexW1989116867MaRDI QIDQ1837709

James W. Walker, Anders Bjoerner

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/s0195-6698(83)80003-1

zbMATH Keywords

homotopyorder-complexbounded latticecomplementsrank functionwedgefinite chainsgraded latticehomotopy Cohen-Macaulaycategory of pointed topological spacescontractible subcomplexgeometric realization of simplicial complexMoebius-numberorder preserving maps of posetssupersolvable finite lattice

Mathematics Subject Classification ID

Partial orders, general (06A06) Structure theory of lattices (06B05) Abstract and axiomatic homotopy theory in algebraic topology (55U35)

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Cites Work

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• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
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