A folk model structure on omega-cat

DOI10.1016/j.aim.2010.01.007zbMath1236.18017arXiv0712.0617OpenAlexW1992674231MaRDI QIDQ973942

Krzysztof Worytkiewicz, Yves Lafont, François Métayer

Publication date: 26 May 2010

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

Full work available at URL: https://arxiv.org/abs/0712.0617

zbMATH Keywords

homotopymodel structureomega-categories

Mathematics Subject Classification ID

Related Items (26)

Hom weak ω-categories of a weak ω-category ⋮ Elimination of quotients in various localisations of premodels into models ⋮ A combinatorial-topological shape category for polygraphs ⋮ Strict \(\infty\)-groupoids are Grothendieck \(\infty\)-groupoids ⋮ Combinatorial and accessible weak model categories ⋮ Model structures for \(( \infty,n)\)-categories on (pre)stratified simplicial sets and prestratified simplicial spaces ⋮ Shuffle polygraphic resolutions for operads ⋮ 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 ⋮ A Quillen's Theorem A for strict \(\infty\)-categories. I: The simplicial proof ⋮ Higher-dimensional normalisation strategies for acyclicity ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Towards a Thomason model structure on the category of strict \(n\)-categories ⋮ Nerves of 2-categories and 2-categorification of \(( \infty ,2)\)-categories ⋮ On fibrant objects in model categories ⋮ Fundamental pushouts of n-complicial sets ⋮ Unnamed Item ⋮ Homology of categories via polygraphic resolutions ⋮ Polygraphic resolutions and homology of monoids ⋮ A Quillen Theorem B for strict ∞‐categories ⋮ Equipping weak equivalences with algebraic structure ⋮ Polygraphs and Discrete Conduch{\'e} $\omega$-Functors ⋮ Towards a globular path object for weak \(\infty\)-groupoids ⋮ The folk model category structure on strict $\omega$-categories is monoidal

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