Weak \(n\)-categories: Opetopic and multitopic foundations.

DOI10.1016/S0022-4049(03)00139-7zbMath1036.18005arXivmath/0304277WikidataQ117273787 ScholiaQ117273787MaRDI QIDQ1421253

Eugenia Cheng

Publication date: 26 January 2004

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

Full work available at URL: https://arxiv.org/abs/math/0304277

zbMATH Keywords

multicategorymultitopesymmetric operadsopetopeweak \(n\)-category

Mathematics Subject Classification ID

Related Items (8)

Monad interleaving: a construction of the operad for Leinster's weak \(\omega \)-categories ⋮ Actads ⋮ HYPERMATRIX ALGEBRA AND IRREDUCIBLE ARITY IN HIGHER-ORDER SYSTEMS: CONCEPTS AND PERSPECTIVES ⋮ Weak \(n\)-categories: Comparing opetopic foundations. ⋮ Opetopic algebras I: Algebraic structures on opetopic sets ⋮ The incidence comodule bialgebra of the Baez-Dolan construction ⋮ Polynomial functors and opetopes ⋮ Nerves of bicategories as stratified simplicial sets

Cites Work

• Pseudo-distributive laws
• A 2-categorical pasting theorem
• The algebra of oriented simplexes
• Higher-dimensional algebra. III: \(n\)-categories and the algebra of opetopes
• Monoidal globular categories as a natural environment for the theory of weak \(n\)-categories
• Nonstrict notions of \(n\)-category and \(n\)-groupoid via multisimplical sets
• On weak higher dimensional categories. I: Part 1
• On weak higher-dimensional categories. I. 2
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