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Compactness and subsets of ordered sets that meet all maximal chains

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Publication:760448
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DOI10.1007/BF00565650zbMath0555.06001OpenAlexW1997730101MaRDI QIDQ760448

John Ginsburg

Publication date: 1984

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00565650


zbMATH Keywords

forbidden substructuresmaximal antichainchain complete ordered setcharacterization of compactnessspace of maximal chains


Mathematics Subject Classification ID

Partial orders, general (06A06) Compactness (54D30)


Related Items (6)

Extensions of ordered sets having the finite cutset property ⋮ Ladders in ordered sets ⋮ Cutsets of Boolean lattices ⋮ A chain decomposition theorem ⋮ Finite antichain cutsets in posets ⋮ On the treatment of incomparability in ordering semantics and premise semantics




Cites Work

  • Finite cutsets and finite antichains
  • Compact Spaces and Spaces of Maximal Complete Subgraphs
  • Antichains and Finite Sets that Meet all Maximal Chains
  • Maximal chains and antichains




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