Cartesian fibrations of \(( \infty,2)\)-categories

DOI10.2140/agt.2024.24.4731MaRDI QIDQ6661607

Edoardo Lanari, Yonatan Harpaz, Andrea Gagna

Publication date: 13 January 2025

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

zbMATH Keywords

fibrationsbicategorieshigher categories

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Simplicial sets, simplicial objects (18N50) ((infty, n))-categories and ((infty,infty))-categories (18N65)

Cites Work

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• Monoidal globular categories as a natural environment for the theory of weak \(n\)-categories
• Some properties of Fib as a fibred \(2\)-category
• 2-Cartesian fibrations. I: A model for \(\infty\)-bicategories fibred in \(\infty\)-bicategories
• Gray tensor products and lax functors of \((\infty, 2)\)-categories
• The Eckmann-Hilton argument and higher operads
• $(A_\infty,2)$-categories and relative 2-operads
• Higher Topos Theory (AM-170)
• On the equivalence of all models for (∞,2)$(\infty,2)$‐categories

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