Localization and Sheaf Reflectors

DOI10.2307/1997138zbMath0316.18005OpenAlexW4238479341MaRDI QIDQ4075638

Joachim Lambek, Basil A. Rattray

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/1997138

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

Related Items

Examples of localizations, Repleteness and the associated sheaf, Functorial radicals and non-abelian torsion, Colimits in Topoi

Cites Work

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• On the existence and exactness of the associated sheaf functor
• Torsion theories in non-additive categories
• Relative functor categories and categories of algebras
• Iterated cotriples
• Non-Abelian Torsion Theories
• Monofunctors as Reflectors
• Localization at Injectives in Complete Categories
• Aspects of topoi