Iterated \(\bar W\) and T-groupoids
type: Item
instance of: scholarly article
title: Iterated \(\bar W\) and T-groupoids
zbMATH Open document ID: 0679.18006
DOI: 10.1016/0022-4049(89)90144-8
author: Gary Nan Tie
published in: Journal of Pure and Applied Algebra
publication date: 1989-01-01T00:00:00Z
review text: This paper continues the article reviewed above (see Zbl 0679.18005). It gives a second equivalence between the category of simplicial T-groupoids whose complex of objects is constant and now the category of T-complexes (a T-complex being a Kan complex where the horn fillers are functional). The loop functor constructed here is inverse to an Eilenberg-MacLane classifying complex functor \(\bar W\) which is a restriction of a Duskin generalization of the classical one defined for simplicial groups. Then one has also a simplicial characterization of multiple groupoid structure.
Mathematics Subject Classification ID: 18G30
Mathematics Subject Classification ID: 20L05
Mathematics Subject Classification ID: 18G50
Mathematics Subject Classification ID: 18G55
zbMATH DE Number: 4112846
zbMATH Keywords: simplicial groupoids
zbMATH Keywords: T-groupoids
zbMATH Keywords: T-complexes
zbMATH Keywords: loop functor
zbMATH Keywords: classifying complex functor
zbMATH Keywords: multiple groupoid structure
reviewed by: Georges Hoff
MaRDI profile type: Publication
full work available at URL: 0022-4049(89)90144-8
OpenAlex ID: W2137533143
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description: scientific article; zbMATH DE number 4112846