Locally finitely presented categories of sheaves

DOI10.1016/j.jpaa.2009.05.014zbMath1187.18004OpenAlexW2005925509MaRDI QIDQ1039770

Wolfgang Rump

Publication date: 23 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2009.05.014

zbMATH Keywords

ringed spaceGrothendieck categoryBousfield localizationtorsion theorypresheaffinitely presented object

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Categories admitting limits (complete categories), functors preserving limits, completions (18A35) Accessible and locally presentable categories (18C35) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Preadditive, additive categories (18E05) Localization of categories, calculus of fractions (18E35)

Related Items (2)

Gabriel-Ulmer duality for topoi and its relation with site presentations ⋮ Flat covers in abelian and in non-abelian categories

Cites Work

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• Elementary torsion theories and locally finitely presented categories
• The localization of spaces with respect to homology
• Some model-theoretic aspects of torsion theories
• Triads.
• Purity in functor categories
• Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
• Modules with decompositions that complement direct summands
• Locally finitely presented additive categories
• Representation Theory of Artin Algebras I

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