Posets having continuous intervals

DOI10.1016/j.tcs.2004.01.025zbMath1052.06005OpenAlexW1973103625MaRDI QIDQ1434352

Jimmie D. Lawson, Luoshan Xu

Publication date: 4 August 2004

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tcs.2004.01.025

zbMATH Keywords

Scott topologycore compact spacecontinuous domain, function space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Continuous lattices and posets, applications (06B35)

Related Items (16)

Transporting continuity properties from a poset to its subposets ⋮ On semicontinuous lattices and their distributive reflections ⋮ On \(\mathrm{SI}_2\)-continuous spaces ⋮ Characterizations of supercontinuous posets via Scott \(S\)-sets and the \(S\)-essential topology ⋮ \(C_\sigma\)-unique dcpos and non-maximality of the class of dominated dcpos regarding \(\Gamma\)-faithfulness ⋮ \(s_{Z}\)-quasicontinuous posets and meet \(s_{Z}\)-continuous posets ⋮ Quasicontinuity of posets via Scott topology and sobrification ⋮ Cartesian closed extensions of subcategories of CONT ⋮ On a new convergence in topological spaces ⋮ A note on ``Posets having continuous interval ⋮ Strongly continuous posets and the local Scott topology ⋮ Characterizations of various continuities of posets via approximated elements ⋮ \(s_2\)-quasicontinuous posets. ⋮ Meet continuity properties of posets ⋮ Formal topological characterizations of various continuous domains ⋮ Uniqueness of directed complete posets based on Scott closed set lattices

Cites Work

• Solutions to two problems of J. D. Lawson and M. Mislove
• Scott spaces and sober spaces
• A note on continuous partially ordered sets
• Continuous Lattices and Domains
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