General Stone duality.

DOI10.1016/S0166-8641(03)00204-9zbMath1043.06008MaRDI QIDQ1426510

Marcel Erné

Publication date: 14 March 2004

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

zbMATH Keywords

complete latticesdualityGalois adjunctionpoint selection

Mathematics Subject Classification ID

Related Items (16)

Adjoint maps between implicative semilattices and continuity of localic maps ⋮ Fundamental duality of abstract categories and its applications ⋮ Choice-free dualities for domains ⋮ DISTRIBUTIVE PSEUDOCOMPLEMENTED SEMILATTICES ⋮ Boolean topological distributive lattices and canonical extensions ⋮ \((\mathcal Z_1,\mathcal Z_2)\)-complete partially ordered sets and their representations by \(\mathcal Q\)-spaces. ⋮ Topological duality and algebraic completions ⋮ The categorical equivalence between domains and interpolative generalized closure spaces ⋮ Category-theoretic fuzzy topological spaces and their dualities ⋮ The category of finitary biframes as the category of pointfree bispaces ⋮ On subset families that form a continuous lattice ⋮ Choiceless, pointless, but not useless: dualities for preframes ⋮ Composite variety-based topological theories ⋮ Algebraic models for \(T_1\)-spaces ⋮ The categorical equivalence between algebraic domains and F-augmented closure spaces. ⋮ A representation of continuous lattices based on closure spaces

Cites Work

• *-autonomous categories. With an appendix by Po-Hsiang Chu
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• The fundamental duality of partially ordered sets
• Essentially complete \(T_0\)-spaces
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• The Dedekind-MacNeille completion as a reflector
• Ideal completion and Stone representation of ideal-distributive ordered sets
• Irreducible filters and sober spaces
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• Distributive laws for concept lattices
• Negations and contrapositions of complete lattices
• ON LATTICES OF CONTINUOUS FUNCTIONS
• Verbandstheoretische Kennzeichnung topologischer Räume
• Ordered Topological Spaces and the Representation of Distributive Lattices
• The Spectral Theory of Distributive Continuous Lattices
• Quotient Frames and Subspaces
• The Theory of Representation for Boolean Algebras
• Topological representations of distributive lattices and Brouwerian logics
• Completely Distributive Complete Lattices
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