Algebras of higher operads as enriched categories

DOI10.1007/s10485-008-9179-7zbMath1218.18006arXiv0803.3594OpenAlexW2963329496MaRDI QIDQ633792

Mark Weber, Michael A. Batanin

Publication date: 30 March 2011

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.3594

zbMATH Keywords

operadsenriched categorieshigher-dimensional categorieslax monoidal categories

Mathematics Subject Classification ID

Related Items (9)

Enumeration and Asymptotic Formulas for Rectangular Partitions of the Hypercube ⋮ Skew monoidal categories and skew multicategories ⋮ Weak $\infty$-categories via terminal coalgebras ⋮ Correction to: ``Homotopy theory of nonsymmetric operads. I--II ⋮ Algebraic weak factorisation systems. II: Categories of weak maps. ⋮ Operadic categories and duoidal Deligne's conjecture ⋮ The twisted tensor product of \(\operatorname{dg}\) categories and a contractible 2-operad ⋮ A note on the composition product of symmetric sequences ⋮ Homomorphisms of higher categories

Cites Work

• Introduction to extensive and distributive categories
• Monoidal globular categories as a natural environment for the theory of weak \(n\)-categories
• Codescent objects and coherence
• Iterated wreath product of the simplex category and iterated loop spaces
• The Eckmann-Hilton argument and higher operads
• Cosimplical objects and little n -cubes, I
• Coherence for tricategories
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