\(n\)-groupoids from \(n\)-truncated simplicial objects as a solution to a universal problem

DOI10.1016/S0022-4049(99)00186-3zbMath0969.18012OpenAlexW2012671684WikidataQ126815271 ScholiaQ126815271MaRDI QIDQ1588063

Dominique Bourn

Publication date: 27 September 2001

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

Full work available at URL: https://doi.org/10.1016/s0022-4049(99)00186-3

zbMATH Keywords

nerves\(n\)-groupoidsrecognition principlesplit simplicial objects

Mathematics Subject Classification ID

Related Items (2)

Unnamed Item ⋮ Mal’tsev and Lawvere functors

Cites Work

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• Another denormalization theorem for abelian chain complexes
• The combinatorics of n-categorical pasting
• The algebra of oriented simplexes
• On the algebra of cubes
• Realization of cohomology classes in arbitrary exact categories
• The structural nature of the nerve functor for \(n\)-groupoids
• Polyhedral monadicity of \(n\)-groupoids and standardized adjunction
• Nerves of Multiple Categories
• Simplicial methods and the interpretation of “triple” cohomology

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