Two-dimensional sheaf theory

DOI10.1016/0022-4049(82)90101-3zbMath0478.18004OpenAlexW1999841077WikidataQ56687246 ScholiaQ56687246MaRDI QIDQ1160709

Ross H. Street

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0022-4049(82)90101-3

zbMATH Keywords

Grothendieck toposes2-categoriescongruenceexactness2-categorynon-abelian cohomology2-sheaf2-toposexact 2-categorylex-totalvery nice 2-category

Mathematics Subject Classification ID

Topoi (18B25) Étale and other Grothendieck topologies and (co)homologies (14F20) Abelian categories, Grothendieck categories (18E10) Grothendieck topologies and Grothendieck topoi (18F10)

Related Items (19)

Categories in which all strong generators are dense ⋮ The elementary construction of formal anafunctors ⋮ 2-final 2-functors ⋮ The étale fundamental groupoid as a 2-terminal costack ⋮ Quasivarieties and varieties of ordered algebras: regularity and exactness ⋮ A topos associated with a colored category ⋮ Two-dimensional regularity and exactness ⋮ Lex colimits ⋮ Galois theory in variable categories ⋮ ENRICHED CATEGORIES AND COHOMOLOGY ⋮ Homotopical algebraic geometry. I: Topos theory ⋮ Unnamed Item ⋮ Étale dévissage, descent and pushouts of stacks ⋮ On certain 2-categories admitting localisation by bicategories of fractions ⋮ Unnamed Item ⋮ An Australian Conspectus of Higher Categories ⋮ Codescent objects and coherence ⋮ Proper factorization systems in 2-categories ⋮ Beck's theorem for pseudo-monads

Cites Work

• Conspectus of variable categories
• Limits indexed by category-valued 2-functors
• Yoneda structures on 2-categories
• Notions of topos
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• Unnamed Item

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