The dual of a generalized completely distributive lattice is a hypercontinuous lattice

DOI10.1007/s00012-010-0078-zzbMath1204.06005OpenAlexW2004299785MaRDI QIDQ607459

Xiao-Quan Xu, Jin-bo Yang

Publication date: 22 November 2010

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00012-010-0078-z

zbMATH Keywords

complete latticeorder dualgeneralized completely distributive latticehypercontinuous lattice

Mathematics Subject Classification ID

Complete distributivity (06D10) Complete lattices, completions (06B23) Heyting algebras (lattice-theoretic aspects) (06D20) Continuous lattices and posets, applications (06B35)

Related Items (8)

Meet precontinuous posets. ⋮ \( \mathcal{Z} \)-quasidistributive and \(\mathcal{Z} \)-meet-distributive posets ⋮ QC-continuity of posets and the Hoare powerdomain of QFS-domains ⋮ On generalized completely distributive posets ⋮ A completion-invariant extension of the concept of meet continuous lattices ⋮ \(s_{2}\)-C-continuous poset ⋮ A completion-invariant extension of the concept of quasi C-continuous lattices ⋮ Hypercontinuous posets.

Cites Work

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• Topological representations of distributive hypercontinuous lattices
• Generalized continuous and hypercontinuous lattices
• Infinite distributive laws versus local connectedness and compactness properties
• A generalization of completely distributive lattices
• Continuous Lattices and Domains
• A Subdirect-Union Representation for Completely Distributive Complete Lattices

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