Function spaces from core compact coherent spaces to continuous B-domains

DOI10.1016/j.topol.2008.08.005zbMath1158.06004OpenAlexW2072715218MaRDI QIDQ1004038

Xiaoyong Xi, Ji-hua Liang

Publication date: 2 March 2009

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2008.08.005

zbMATH Keywords

function spacecoherent spacesIsbell topologyLawson compactcontinuous B-domain

Mathematics Subject Classification ID

Extension of maps (54C20) Continuous lattices and posets, applications (06B35)

Related Items (9)

Function spaces from coherent continuous domains to RB-domains ⋮ Continuity of function spaces from pointwise directed families of characteristic functions. ⋮ Coincidence of the Isbell and Scott topologies on domain function spaces ⋮ Unnamed Item ⋮ Coincidence of the Isbell and Scott topologies on the function spaces of quasicontinuous domains ⋮ Unnamed Item ⋮ Maximal classes of spaces and domains determined by topologies on function spaces of domains ⋮ Lawson compactness on function spaces of domains ⋮ QFS-domains and quasicontinuous domains.

Cites Work

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• The largest Cartesian closed category of domains
• The way-below relation of function spaces over semantic domains
• Solutions to two problems of J. D. Lawson and M. Mislove
• Compact continuous \(L\)-domains
• A Powerdomain Construction
• Open problems in topology

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