Orientals as free weak \(\omega \)-categories

DOI10.1016/J.JPAA.2022.107230zbMath1498.18034arXiv2102.09736OpenAlexW4293833092MaRDI QIDQ2079655

Yuki Maehara

Publication date: 30 September 2022

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

Full work available at URL: https://arxiv.org/abs/2102.09736

Mathematics Subject Classification ID

Homotopical algebra, Quillen model categories, derivators (18N40) Simplicial sets, simplicial objects (18N50) Strict omega-categories, computads, polygraphs (18N30) ((infty, n))-categories and ((infty,infty))-categories (18N65)

Related Items (2)

Nerves and cones of free loop-free \(\omega\)-categories ⋮ A categorical characterization of strong Steiner \(\omega\)-categories

Cites Work

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• The algebraic structure of the universal complicial sets
• Weak complicial sets. I: Basic homotopy theory
• The algebra of oriented simplexes
• Omega-categories and chain complexes
• Model structures for \(( \infty,n)\)-categories on (pre)stratified simplicial sets and prestratified simplicial spaces
• Nerves of 2-categories and 2-categorification of \(( \infty ,2)\)-categories
• Complicial sets characterising the simplicial nerves of strict 𝜔-categories
• Higher Topos Theory (AM-170)

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