Join-continuous frames, Priestley's duality and biframes

DOI10.1007/BF00878102zbMath0802.06013OpenAlexW1985521301MaRDI QIDQ1332448

Jorge Picado

Publication date: 27 September 1994

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00878102

zbMATH Keywords

nucleusrepresentation theoremsordered topological spacebitopological spacesadjunctionPriestley spacesPriestley's dualitybiframesframe of open setsjoin-continuous framessubframes of complete Boolean algebras

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Heyting algebras (lattice-theoretic aspects) (06D20) Categorical methods in general topology (54B30) Bitopologies (54E55) Ordered topological structures (06F30)

Related Items (3)

Unnamed Item ⋮ Funayama's theorem revisited ⋮ Pervin spaces and Frith frames: bitopological aspects and completion

Cites Work

• On the category invariance of cardinalities in a prevariety
• STRONG ZERO-DIMENSIONALITY OF BIFRAMES AND BISPACES
• Bitopological Spaces
• BIFRAMES AND BISPACES
• Stably continuous frames
• Modal extensions of Heyting algebras
• Ordered Topological Spaces and the Representation of Distributive Lattices
• Representation of Distributive Lattices by means of ordered Stone Spaces
• Separation Theorems for Semi-Continuous Functions on Normally Ordered Topological Spaces
• Atomless Parts of Spaces.
• Semi-Algebras of Continuous Functions
• A Subdirect-Union Representation for Completely Distributive Complete Lattices
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