Bilimits are bifinal objects

DOI10.1016/J.JPAA.2022.107137zbMath1496.18013arXiv2103.16394OpenAlexW3140546295MaRDI QIDQ2154269

Edoardo Lanari, Andrea Gagna, Yonatan Harpaz

Publication date: 19 July 2022

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

Full work available at URL: https://arxiv.org/abs/2103.16394

Mathematics Subject Classification ID

Fibered categories (18D30) 2-categories, bicategories, double categories (18N10) Formal category theory (18D70)

Cites Work

• Fibred 2-categories and bicategories
• Local adjunctions
• Limits indexed by category-valued 2-functors
• Some properties of Fib as a fibred \(2\)-category
• Sigma limits in 2-categories and flat pseudofunctors
• A Quillen's Theorem A for strict \(\infty\)-categories. I: The simplicial proof
• A Quillen model structure for bicategories
• Formal category theory: Adjointness for 2-categories
• A Quillen model structure for 2-categories
• Quillen closed model structures for sheaves
• Theorem A for marked 2-categories
• Gray tensor products and lax functors of \((\infty, 2)\)-categories
• Nerves of Multiple Categories
• A 2-Categories Companion
• Elementary observations on 2-categorical limits
• A notion of limit for enriched categories
• Join and slices for strict $\infty$-categories
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