Conspectus of variable categories

DOI10.1016/0022-4049(81)90021-9zbMath0469.18007OpenAlexW2060119423WikidataQ56687244 ScholiaQ56687244MaRDI QIDQ1156868

Ross H. Street

Publication date: 1981

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(81)90021-9

zbMATH Keywords

fibrationbicategorypresheafcocompletionbicategory of category-valued pseudo-functorsrepresentation theorem for fibrationsvariable Kan extension

Mathematics Subject Classification ID

Related Items (17)

Modulated bicategories ⋮ Maps. I: Relative to a factorisation system ⋮ Monads for which structures are adjoint to units ⋮ Accessibility and presentability in 2-categories ⋮ Two-dimensional sheaf theory ⋮ Pullback preserving functors ⋮ The Eckmann-Hilton argument and higher operads ⋮ Galois theory in variable categories ⋮ Cauchy characterization of enriched categories ⋮ Fibrations of AU-contexts beget fibrations of toposes ⋮ Monoidal globular categories as a natural environment for the theory of weak \(n\)-categories ⋮ An Australian Conspectus of Higher Categories ⋮ Categorie variabili ⋮ The petit topos of globular sets ⋮ Variation through enrichment ⋮ Fibrations and partial products in a 2-category ⋮ On the Penon method of weakening algebraic structures

Cites Work

• Limits indexed by category-valued 2-functors
• Free colimits
• Yoneda structures on 2-categories
• Formal category theory: Adjointness for 2-categories
• Lokal präsentierbare Kategorien. (Locally presentable categories)
• 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
• The formal theory of monads
• Cosmoi of Internal Categories
• Introduction to bicategories
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