Cartesian closed categories of \(F\mathcal Z\)-domains

DOI10.1007/s10114-013-1240-2zbMath1276.06004OpenAlexW2103544137MaRDI QIDQ383664

Min Liu, Bin Zhao

Publication date: 5 December 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-1240-2

zbMATH Keywords

Cartesian closed category\(F\mathcal Z\)-domain\(F\mathcal Z\)-Scott continuous function\(F\mathcal Z\)-Scott topology\(F\mathcal Z\)-way-below relationdirectable subset systemsubset system

Mathematics Subject Classification ID

Partial orders, general (06A06) Continuous maps (54C05) Continuous lattices and posets, applications (06B35) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15)

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Cites Work

• Cartesian closed categories of algebraic cpos
• The largest cartesian closed category of stable domains
• The largest Cartesian closed category of domains
• A uniform approach to inductive posets and inductive closure
• The category of Z-continuous posets
• \({\mathcal Z}\)-continuous posets and their topological manifestation
• \({\mathbf Z}\)-continuous posets
• A Powerdomain Construction
• Continuous Lattices and Domains
• \(Z\)-join spectra of \(Z\)-supercompactly generated lattices
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