On locales of localizations

DOI10.1016/0022-4049(87)90040-5zbMath0614.18005OpenAlexW2055761698MaRDI QIDQ1820229

G. M. Kelly, Francis Borceux

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0022-4049(87)90040-5

zbMATH Keywords

duallocalelocally presentable categorylocalizationreflective subcategoryGrothendieck toposgeometric morphismlattice theoretic propertiesGabriel topologiesexistence of suprema and infimaframe morphismlocal factorization systemswell-pointed endofunctors

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Topoi (18B25) Localization of categories, calculus of fractions (18E35)

Related Items (17)

Unnamed Item ⋮ On the left exactness of orthogonal reflections ⋮ Subobject classifier for algebraic structures ⋮ Extending localization functors ⋮ Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories ⋮ On the ordered set of reflective subcategories ⋮ OPEN LOCALIZATIONS AND FACTORIZATION SYSTEMS ⋮ Localizations of locally presentable categories and exact topologies ⋮ Localisations of locally presentable categories. II ⋮ Lex colimits ⋮ Open localizations ⋮ Reflective subcategories ⋮ On algebraically exact categories and essential localizations of varieties ⋮ PRELOCALIZATIONS AND NATURAL NUMBERS ⋮ Reconstruction theorem for monoid schemes ⋮ Closures on CPOs form complete lattices ⋮ Unnamed Item

Cites Work

• Lokal präsentierbare Kategorien. (Locally presentable categories)
• Categories of continuous functors. I
• On the ordered set of reflective subcategories
• A unified treatment of transfinite constructions for free algebras, free monoids, colimits, associated sheaves, and so on
• Monomorphisms, Epimorphisms, and Pull-Backs
• Des catégories abéliennes
• FUNCTORIAL SEMANTICS OF ALGEBRAIC THEORIES
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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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