Localization at Injectives in Complete Categories

DOI10.2307/2038806zbMath0249.18007OpenAlexW4247283250MaRDI QIDQ5662555

Basil A. Rattray

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/2038806

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Uniform structures and generalizations (54E15) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Categories admitting limits (complete categories), functors preserving limits, completions (18A35)

Related Items (13)

Unnamed Item ⋮ Unnamed Item ⋮ Noncommutative localization ⋮ Localization at epimorphisms and quasi-injectives ⋮ On Morita's localization ⋮ Unnamed Item ⋮ No rings have injective effacements ⋮ Every topological category is convenient for Gelfand duality ⋮ An extension of Pontryagin duality ⋮ Localization and Sheaf Reflectors ⋮ Separated and prime compactifications ⋮ Torsion theories in non-additive categories ⋮ Closure functions and general iterates as reflectors

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Torsion theories in non-additive categories
• Duality theory for Grothendieck categories and linearly compact rings
• Torsion theories, additive semantics, and rings of quotients. With an appendix by H. H. Storrer on torsion theories and dominant dimensions
• Lokal präsentierbare Kategorien. (Locally presentable categories)
• On bicompact spaces
• Aspects of topoi
• Ultrafilters and Compactification of Uniform Spaces
• On Real-Valued Functions in Topological Spaces

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