Topological representations of distributive hypercontinuous lattices

DOI10.1007/S11401-007-0316-7zbMath1184.06004OpenAlexW2079523873MaRDI QIDQ1044807

Jin-bo Yang, Xiao-Quan Xu

Publication date: 15 December 2009

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-007-0316-7

zbMATH Keywords

hull-kernel topologyhypercontinuous latticehyperalgebraic latticelocally strongly compact space

Mathematics Subject Classification ID

Representation theory of lattices (06B15) Continuous lattices and posets, applications (06B35) Local compactness, (sigma)-compactness (54D45)

Related Items (9)

Meet precontinuous posets. ⋮ Induced topologies on the poset of finitely generated saturated sets ⋮ \(s_2\)-quasialgebraic posets ⋮ The upper topology and interval topology on quasi-hypercontinuous posets ⋮ The dual of a generalized completely distributive lattice is a hypercontinuous lattice ⋮ θ-continuity and D_θ-completion of posets ⋮ A completion-invariant extension of the concept of meet continuous lattices ⋮ \(s_2\)-quasicontinuous posets. ⋮ Continuity and directed completion of topological spaces

Cites Work

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• Priestley spaces, quasi-hyperalgebraic lattices and Smyth powerdomains
• The Spectral Theory of Distributive Continuous Lattices
• A Direct Proof of the Hofmann-Mislove Theorem
• Continuous Lattices and Domains
• The Theory of Representation for Boolean Algebras

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