A homotopy-theoretic universal property of Leinster's operad for weak ω-categories

DOI10.1017/S030500410900259XzbMath1188.18006arXiv0804.2663OpenAlexW3101410841MaRDI QIDQ3646108

Richard Garner

Publication date: 19 November 2009

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.2663

zbMATH Keywords

Quillen model structureweak factorization systemcofibrant replacementglobular operad

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32) Loop space machines and operads in algebraic topology (55P48)

Related Items (6)

Higher dimensional categories: induction on extensivity ⋮ Hom weak ω-categories of a weak ω-category ⋮ Algebraic weak factorisation systems. I: Accessible AWFS. ⋮ Monads and distributive laws for Rota-Baxter and differential algebras ⋮ The Frobenius condition, right properness, and uniform fibrations ⋮ Unnamed Item

Cites Work

• Constructions of factorization systems in categories
• Monoidal globular categories as a natural environment for the theory of weak \(n\)-categories
• Lax factorization algebras
• Quillen closed model structures for sheaves
• A unified treatment of transfinite constructions for free algebras, free monoids, colimits, associated sheaves, and so on
• Adjoint Lifting Theorems for Categories of Algebras

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