scientific article; zbMATH DE number 7823993

MaRDI QIDQ6120737

Pierre-Alain Jacqmin

Publication date: 25 March 2024

Full work available at URL: http://www.tac.mta.ca/tac/volumes/39/32/39-32abs.html

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zbMATH Keywords

embedding theoremeffective descent morphismdescent morphismsplit epimorphismfinite limitclass of epimorphismsfinite limit preserving functorpullback-stable strong epimorphism

Mathematics Subject Classification ID

Projectives and injectives (category-theoretic aspects) (18G05) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Special properties of functors (faithful, full, etc.) (18A22) 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) Embedding theorems, universal categories (18B15) Functor categories, comma categories (18A25)

Cites Work

• An algebraic description of regular epimorphisms in topology
• Representation of categories
• Facets of descent. I
• Exact categories and categories of sheaves
• 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
• Embedding of Categories
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