Duality theory for enriched Priestley spaces

DOI10.1016/j.jpaa.2022.107231zbMath1498.18005arXiv2009.02303OpenAlexW3083593687WikidataQ114155329 ScholiaQ114155329MaRDI QIDQ2079656

Dirk Hofmann, Pedro Nora

Publication date: 30 September 2022

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.02303

zbMATH Keywords

Stone dualitymetric spacevarietyquasivarietyPriestley spacequantale-enriched category

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Enriched categories (over closed or monoidal categories) (18D20) Categories of spans/cospans, relations, or partial maps (18B10) Eilenberg-Moore and Kleisli constructions for monads (18C20)

Cites Work

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• An introduction to quantaloid-enriched categories
• Towards Stone duality for topological theories
• Domains arising as algebras for powerspace constructions
• On the axiomatisability of the dual of compact ordered spaces
• A Kleisli-based approach to lax algebras
• Coalgebraic representations of distributive lattices with operators
• Lawvere completion and separation via closure
• Lawvere completeness in topology
• Remarks on Priestley duality for distributive lattices
• Flexible limits for 2-categories
• Constructive complete distributivity. IV
• Topological spaces and quasi-varieties
• A generalization of the duality compactness theorem
• Enriched Stone-type dualities
• On quasivarieties and varieties as categories
• Groupoidal completely distributive lattices
• On a generalization of the Stone--Weierstrass theorem
• Distributive lattices with an operator
• Hausdorff coalgebras
• The enriched Vietoris monad on representable spaces
• On finitary functors and their presentations
• Topological theories and closed objects
• Ordered topological structures
• Weighted approximation for algebras and modules of continuous functions. Real and self-adjoint complex cases
• Exponentiation for unitary structures
• Lokal präsentierbare Kategorien. (Locally presentable categories)
• On closed elements in closure algebras
• Duality for distributive space
• Monoidal Topology
• Limits in categories of Vietoris coalgebras
• Accessible Categories: The Foundations of Categorical Model Theory
• Ordered Topological Spaces and the Representation of Distributive Lattices
• A General Stone-Gelfand Duality
• Convergence and quantale-enriched categories
• Generating the algebraic theory of $C(X)$: the case of partially ordered compact spaces
• Continuous Lattices and Domains
• The dual of compact ordered spaces is a variety
• Note on Epi in
• Prime Ideal Structure in Commutative Rings
• Representation of Distributive Lattices by means of ordered Stone Spaces
• Relational algebras
• The Theory of Representation for Boolean Algebras
• Statistical Metrics

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