Kleisli categories, \(T\)-categories and internal categories

zbMATH Open1546.18009MaRDI QIDQ6603963

Dominique Bourn

Publication date: 12 September 2024

Published in: Theory and Applications of Categories (Search for Journal in Brave)

zbMATH Keywords

operadsmulticategoriesKleisli categories\(T\)-categoriesinternal categories and groupoidsinternal \(n\)-categories and \(n\)-groupoids

Mathematics Subject Classification ID

Eilenberg-Moore and Kleisli constructions for monads (18C20) Simplicial sets, simplicial objects (18N50) Operads (general) (18M60) Internal categories and groupoids (18D40) Non-symmetric operads, multicategories, generalized multicategories (18M65)

Cites Work

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• Another denormalization theorem for abelian chain complexes
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• Representable multicategories
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• The Eckmann-Hilton argument and higher operads
• Adjoint functors and triples
• The geometry of iterated loop spaces
• Homotopy theory for algebras over polynomial monads
• The comprehensive factorization of Burroni's T-functors
• A unified framework for generalized multicategories
• Catégories structurées
• Formal Categories
• Every Standard Construction is Induced by a Pair of Adjoint Functors

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