An elementary characterization of categories of separated objects

DOI10.1016/0022-4049(93)90087-AzbMath0790.18001MaRDI QIDQ687572

Aurelio Carboni, Sandra Mantovani

Publication date: 19 October 1993

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

zbMATH Keywords

Grothendieck toposescategories of separated objectsLawvere-Thierney topologiespretoposesquasi-topostopologies on abelian categories

Mathematics Subject Classification ID

Topoi (18B25) Abelian categories, Grothendieck categories (18E10) Fairly general properties of topological spaces (54D99) Grothendieck topologies and Grothendieck topoi (18F10)

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Protomodular aspect of the dual of a topos, Unnamed Item, Some free constructions in realizability and proof theory, Weak topologies on toposes, The construction of \(\pi_0\) in Axiomatic Cohesion, Abelianization and orthogonal complements of additive categories, When do completion processes give rise to extensive categories?, Grothendieck quasitoposes, Left exact presheaves on a small pretopos, Some remarks on Maltsev and Goursat categories, Semi-localizations of semi-abelian categories

Cites Work

• Cartesian bicategories. I
• Categories of affine spaces
• Monomorphisms, Epimorphisms, and Pull-Backs
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