The structural nature of the nerve functor for \(n\)-groupoids
type: Item
instance of: scholarly article
title: The structural nature of the nerve functor for \(n\)-groupoids
zbMATH Open document ID: 0976.18007
DOI: 10.1023/A:1008620128244
author: Dominique Bourn
published in: Applied Categorical Structures
publication date: 2001-12-27T00:00:00Z
review text: The author gives an internal construction of split \((n+1)\)-truncated simplicial objects within the category of split \(n\)-truncated simplicial objects, all in a fixed left exact category \({\mathcal B}\). This identification is used to give an inductive construction of the nerve of an \(n\)-groupoid. The exposition contains a substantial amount of detail.
Mathematics Subject Classification ID: 18G30
Mathematics Subject Classification ID: 55U10
Mathematics Subject Classification ID: 18D05
Mathematics Subject Classification ID: 18D30
zbMATH DE Number: 1563338
zbMATH Keywords: nerves
zbMATH Keywords: \(n\)-groupoids
zbMATH Keywords: split simplicial objects
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1563338