From finite posets to chain complete posets having no infinite antichain

DOI10.1007/BF01108625zbMath0835.06001OpenAlexW2054700172MaRDI QIDQ1904394

Bo-Yu Li, Eric C. Milner

Publication date: 20 December 1995

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01108625

zbMATH Keywords

fixed pointcoreretractPT-orderchain complete posets

Mathematics Subject Classification ID

Partial orders, general (06A06)

Related Items (6)

Examples of powers of ordered sets with the fixed point property ⋮ On \(\text{CC}\)-comparability invariance of the fixed point property ⋮ The fixed point property for ordered sets ⋮ Super-relational fixed point property and products in ordered sets ⋮ Strengthened fixed point property and products in ordered sets ⋮ Algorithms for the fixed point property

Cites Work

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• Fixed points of products and the strong fixed point property
• A structure theory for ordered sets
• The strong fixed point property for small sets
• A chain complete poset with no infinite antichain has a finite core
• Fixed points and products
• Cores, cutsets and the fixed point property
• A Theorem on Partially Ordered Sets, With Applications to Fixed Point Theorems
• Retracts and the Fixed Point Problem for Finite Partially Ordered Sets
• The Problem of Fixed Points in Ordered Sets
• A Logarithmic Property for Exponents of Partially Ordered Sets
• Fixed Points of Order Preserving Multifunctions
• Fixed points in partially ordered sets

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