Categorical notions of fibration

DOI10.1016/j.exmath.2019.02.004zbMath1464.18010arXiv1806.06129OpenAlexW2808043351WikidataQ127669705 ScholiaQ127669705MaRDI QIDQ2221495

Emily Riehl, Fosco Loregiàn

Publication date: 2 February 2021

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.06129

zbMATH Keywords

Grothendieck fibrationprofunctortwo-sided fibration

Mathematics Subject Classification ID

Fibered categories (18D30) 2-categories, bicategories, double categories (18N10)

Related Items (11)

Weighted limits in an \((\infty, 1)\)-category ⋮ Latent Fibrations: Fibrations for Categories of Partial Maps ⋮ Labelled cospan categories and properads ⋮ The monoidal nature of the Feistel-Toffoli construction ⋮ The algebra of the Feistel-Toffoli construction ⋮ A homotopy coherent nerve for \((\infty, n)\)-categories ⋮ Unnamed Item ⋮ Bicategorical type theory: semantics and syntax ⋮ On the Pre- and Promonoidal Structure of Spacetime ⋮ What is an equivalence in a higher category? ⋮ Unnamed Item

Cites Work

• Comprehensive factorisation systems
• Algebraic weak factorisation systems. I: Accessible AWFS.
• Indexed categories and their applications
• Modulated bicategories
• The 2-category theory of quasi-categories
• Yoneda structures from 2-toposes
• Elementary observations on 2-categorical limits
• The comprehensive factorization of a functor
• Higher Topos Theory (AM-170)
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