On the equivalence of all models for (∞,2)$(\infty,2)$‐categories

DOI10.1112/jlms.12614zbMath1518.18020arXiv1911.01905MaRDI QIDQ6134528

Edoardo Lanari, Andrea Gagna, Yonatan Harpaz

Publication date: 22 August 2023

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.01905

zbMATH Keywords

simplicial sethomotopy theorymodel categoryhigher category

Mathematics Subject Classification ID

Simplicial sets and complexes in algebraic topology (55U10) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Homotopical algebra, Quillen model categories, derivators (18N40) Simplicial sets, simplicial objects (18N50) ((infty, n))-categories and ((infty,infty))-categories (18N65)

Related Items (7)

A Quillen adjunction between globular and complicial approaches to \((\infty, n)\)-categories ⋮ On distributivity in higher algebra I: the universal property of bispans ⋮ Discreteness and completeness for \(\Theta_n\)-models of \((\infty, n)\)-categories ⋮ Nerves and cones of free loop-free \(\omega\)-categories ⋮ Lax monoidal adjunctions, two‐variable fibrations and the calculus of mates ⋮ What is an equivalence in a higher category? ⋮ 2-Cartesian fibrations. I: A model for \(\infty\)-bicategories fibred in \(\infty\)-bicategories

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