Left exact presheaves on a small pretopos

DOI10.1016/S0022-4049(97)00149-7zbMath0926.18003OpenAlexW2095174709MaRDI QIDQ1295689

Francis Borceux, Maria-Cristina Pedicchio

Publication date: 10 November 1999

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

Full work available at URL: https://doi.org/10.1016/s0022-4049(97)00149-7

zbMATH Keywords

exact categorytopospresheafpretopos

Mathematics Subject Classification ID

Topoi (18B25) Abelian categories, Grothendieck categories (18E10) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Theories (e.g., algebraic theories), structure, and semantics (18C10) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

Related Items

Gabriel-Ulmer duality for topoi and its relation with site presentations ⋮ On stability of exactness properties under the pro-completion ⋮ A note on effectively projective objects ⋮ Syntactic characterizations of various classes of locally presentable categories ⋮ Embedding theorems for Janelidze's matrix conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An elementary characterization of categories of separated objects
• Diagram chasing in Mal'cev categories
• Localisations of locally presentable categories. II
• Representation of categories
• Subobject classifier for algebraic structures
• Localisation of locally presentable categories
• Molecular toposes
• A characterization of quasi-toposes
• Some remarks on Maltsev and Goursat categories
• Lokal präsentierbare Kategorien. (Locally presentable categories)
• Aspects of topoi