scientific article; zbMATH DE number 909653

zbMath0883.18006MaRDI QIDQ4888144

Carmen Quinteiro, Francis Borceux

Publication date: 8 March 1998

Full work available at URL: http://www.numdam.org/item?id=CTGDC_1996__37_2_145_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

localizationGrothendieck topologyuniversal closure operator

Mathematics Subject Classification ID

Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Grothendieck topologies and Grothendieck topoi (18F10)

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A generalization of the Gabriel-Popescu theorem, Gabriel-Ulmer duality for topoi and its relation with site presentations, Exponentiable Grothendieck categories in flat algebraic geometry, Linearized topologies and deformation theory, The canonical topology on a meet-semilattice, Grothendieck categories as a bilocalization of linear sites, Tensor topology, Grothendieck enriched categories, Tensor products of finitely cocomplete and abelian categories, Definable categories, Additive Grothendieck pretopologies and presentations of tensor categories, Homological kernels of monoidal functors, Constructing colimits by gluing vector bundles, Cohomology of exact categories and (non-)additive sheaves, Monoidal abelian envelopes

Cites Work

• Lokal präsentierbare Kategorien. (Locally presentable categories)
• Categories of continuous functors. I
• A unified treatment of transfinite constructions for free algebras, free monoids, colimits, associated sheaves, and so on
• Des catégories abéliennes
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