Exact categories and categories of sheaves

From MaRDI portal
Publication:2547941

zbMath0223.18009MaRDI QIDQ2547941

Pierre Antoine Grillet, Michael Barr, Don H. Van Osdol

Publication date: 1971

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)




Related Items (only showing first 100 items - show all)

The left heart and exact hull of an additive regular categoryBarr-exact categories and soft sheaf representationsUniversal Properties of Lens Proxy PullbacksUnnamed ItemUnnamed ItemUnnamed ItemUnnamed ItemThe stable category of preorders in a pretopos. I: General theoryFacets of descent. IA torsion theory in the category of cocommutative Hopf algebrasOn the axiomatisability of the dual of compact ordered spacesGeneralized relations in linguistics \& cognitionA new Galois structure in the category of internal preordersUnnamed ItemMaps. I: Relative to a factorisation systemA note on strong protomodularity, actions and quotientsThe snail lemma in a pointed regular categoryClosure operators in the category of quandlesCartesian bicategories. IStone duality for first order logicTorsion theories and coverings of \(V\)-groupsThe Zassenhaus lemma in star-regular categoriesOn congruence modular varieties and Gumm categoriesRegularity of the category of Kelley spacesOn bornological semi-abelian algebrasThe hitchhiker guide to Categorical Banach space theory. Part II.Regular and exact completionsAre locally finite MV-algebras a variety?Facets of congruence distributivity in Goursat categories\(\mathcal{M}\)-coextensive objects and the strict refinement propertyHigher coverings of racks and quandles. IICategorification of a set relation geometry induced by rough operatorsWeighted commutators in semi-abelian categoriesCategories multialgebriquesHomomorphisms, homomorphic relations and power algebrasCofibrant generation of pure monomorphismsOn full embeddings. IOn congruence lattices in a categoryFuzzy sets: A topos-logical point of viewQuasivarieties and varieties of ordered algebras: regularity and exactnessHow to centralize and normalize quandle extensionsAn axiomatic survey of diagram lemmas for non-abelian group-like structuresResolutions, higher extensions and the relative Mal'tsev axiomOn lax protomodularity for \(\mathsf{Ord}\)-enriched categoriesFull Continuous Embeddings of ToposesVariations of the shifting lemma and Goursat categoriesA good theory of ideals in regular multi-pointed categoriesOn stability of exactness properties under the pro-completionCategorical (binary) difference terms and protomodularitySplit epimorphisms as a productive tool in universal algebraForking independence from the categorical point of viewCohomology of exact categories and (non-)additive sheavesEmbedding of CategoriesA class of exactness properties characterized via left Kan extensionsUnnamed ItemOn regular monomorphisms in weakly locally presentable categoriesRelations in operational categoriesDuality in non-abelian algebra. III. Normal categories and 0-regular varietiesThe matrix taxonomy of finitely complete categoriesFundamental group functors in descent-exact homological categoriesAnticommutativity and the triangular lemmaUnnamed ItemA semi-abelian extension of a theorem by TakeuchiOn the form of subobjects in semi-abelian and regular protomodular categoriesComposites of central extensions form a relative semi-abelian categoryHigher central extensions in Mal'tsev categoriesApproximate Hagemann-Mitschke co-operationsUnifying exact completionsMal'tsev objects, $R_1$-spaces and ultrametric spacesHagemann's theorem for regular categoriesMultimonads and multimonadic categoriesSome remarks on internal pregroupoids in varietiesBarr's embedding theorem for enriched categoriesStructure and costructure for strongly regular ringsWhen do completion processes give rise to extensive categories?Ultrafilters, ultrapowers and finiteness in a toposSemi-Abelian categories and additive objectsUnnamed ItemChange of base for toposes with generatorsSyntactic categories for Nori motivesBeth definability and the Stone-Weierstrass theorem(Co)Homology of crossed modulesTopological geometrical categoriesOn linear exactness propertiesCrossed squares of cocommutative Hopf algebrasA characterisation of the category of compact Hausdorff spacesTensor product of motives via Künneth formulaEnriched regular theoriesCharacterizations of majority categoriesDiagram chasing in Mal'cev categoriesMultimonads and multimonadic categoriesMajority categoriesEquilogical spacesLocally cartesian closed exact completionsHomological Algebra in TopoiAn Introduction to Regular CategoriesUnnamed ItemEpireflective subcategories and formal closure operatorsMatrix taxonomy and Bourn localizationA characterization of the left exact categories whose exact completions are toposes




This page was built for publication: Exact categories and categories of sheaves