Nerves of 2-categories and 2-categorification of \(( \infty ,2)\)-categories

DOI10.1016/j.aim.2021.107948zbMath1477.18050arXiv1902.05524OpenAlexW3193412582MaRDI QIDQ2232700

Martina Rovelli, Viktoriya Ozornova

Publication date: 8 October 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.05524

zbMATH Keywords

nerve\((\infty, 2)\)-categorycomplicial set

Mathematics Subject Classification ID

Simplicial sets and complexes in algebraic topology (55U10) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Simplicial sets, simplicial objects (18N50) 2-categories, bicategories, double categories (18N10) ((infty, n))-categories and ((infty,infty))-categories (18N65)

Related Items (7)

A homotopy coherent cellular nerve for bicategories ⋮ On the equivalence of all models for (∞,2)$(\infty,2)$‐categories ⋮ Nerves and cones of free loop-free \(\omega\)-categories ⋮ What is an equivalence in a higher category? ⋮ A categorical characterization of strong Steiner \(\omega\)-categories ⋮ Fundamental pushouts of n-complicial sets ⋮ Orientals as free weak \(\omega \)-categories

Cites Work

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• The algebraic structure of the universal complicial sets
• Weak complicial sets. I: Basic homotopy theory
• A folk model structure on omega-cat
• Nerves of bicategories as stratified simplicial sets
• The algebra of oriented simplexes
• Complicial sets, an overture
• A Quillen model structure for bicategories
• Homotopy invariant algebraic structures on topological spaces
• A Quillen model structure for 2-categories
• A homotopy coherent cellular nerve for bicategories
• Model structures for \(( \infty,n)\)-categories on (pre)stratified simplicial sets and prestratified simplicial spaces
• Towards a Thomason model structure on the category of strict \(n\)-categories
• A 2-Categories Companion
• Vogt's theorem on categories of homotopy coherent diagrams
• Higher Categories and Homotopical Algebra
• Join and slices for strict $\infty$-categories
• Quillen cohomology of $(\infty,2)$-categories
• Complicial sets characterising the simplicial nerves of strict 𝜔-categories
• Higher Quasi-Categories vs Higher Rezk Spaces
• Higher Topos Theory (AM-170)

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