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A chain complete poset with no infinite antichain has a finite core

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Publication:1311420
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DOI10.1007/BF01108708zbMath0789.06002MaRDI QIDQ1311420

Eric C. Milner, Bo-Yu Li

Publication date: 14 June 1994

Published in: Order (Search for Journal in Brave)


zbMATH Keywords

perfect sequencescoreirreducible elementsretractquasi-orderfixed-point propertychain- complete posetpassing-through order


Mathematics Subject Classification ID

Partial orders, general (06A06)


Related Items (10)

Perfect sequences of chain-complete posets ⋮ From finite posets to chain complete posets having no infinite antichain ⋮ On \(\text{CC}\)-comparability invariance of the fixed point property ⋮ The fixed point property for ordered sets ⋮ Strengthened fixed point property and products in ordered sets ⋮ Isotone relations revisited ⋮ The ANTI-order for caccc posets. I ⋮ Algorithms for the fixed point property ⋮ Retractability and the fixed point property for products ⋮ The core of a chain complete poset with no one-way infinite fence and no tower



Cites Work

  • The PT-order and the fixed point property
  • Partially Ordered Sets
  • Fixed points in partially ordered sets




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