Three counterexamples concerning ω-chain completeness and fixed point properties

DOI10.1017/S0013091500006453zbMath0451.06006OpenAlexW2153286084WikidataQ124982819 ScholiaQ124982819MaRDI QIDQ3897084

Joe D. Mashburn

Publication date: 1981

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500006453

zbMATH Keywords

least fixed point propertychain complete partially ordered setchain continuous functions

Mathematics Subject Classification ID

Partial orders, general (06A06) Continuous maps (54C05) Total orders (06A05)

Related Items (2)

Sets with structure, mappings and fixed point property: fixed point structures ⋮ Kleene chain completeness and fixedpoint properties

Cites Work

• Chain-complete posets and directed sets with applications
• Fixed-point constructions in order-enriched categories
• A lattice-theoretical fixpoint theorem and its applications
• A characterization of complete lattices
• Completeness in Semi-Lattices
• Dedekind Completeness and a Fixed-Point Theorem
• A Theorem on Partially Ordered Sets, With Applications to Fixed Point Theorems
• Some Fixed Point Theorems for Partially Ordered Sets
• Data Types as Lattices
• Common Fixed Points of Commuting Monotone Mappings
• On Completeness of Partially Ordered Sets and Fixpoint Theorems for Isotone Mappings
• Fixed Points of Order Preserving Multifunctions
• Fixed points in partially ordered sets

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