A classification theorem for diagrams of simplicial sets
type: Item
instance of: scholarly article
title: A classification theorem for diagrams of simplicial sets
zbMATH Open document ID: 0545.55007
DOI: 10.1016/0040-9383(84)90035-1
published in: Topology
publication date: 1984-01-01T00:00:00Z
review text: A classification theorem for diagrams of simplicial sets is proved via a classification theorem for objects in a closed simplicial model category in the sense of \textit{D. G. Quillen} [Homotopical algebra, Lect. Notes Math. 43 (1967; Zbl 0168.209)]. The main result generalizes classification results for Postnikov conjugates [\textit{C. W. Wilkerson}, Proc. Am. Math. Soc. 60 (1976), 279-285 (1977; Zbl 0345.55010), \textit{E. Dror} and the authors, ibid. 74, 183-186 (1979; Zbl 0408.57014)] and for simplicial fibrations [\textit{M. G. Barratt}, \textit{V. K. A. M. Gugenheim} and \textit{J. C. Moore}, Am. J. Math. 81, 639-657 (1959; Zbl 0127.390), \textit{E. Dror} and the authors, Proc. Am. Math. Soc. 80, 491-494 (1980; Zbl 0454.55017)].
Mathematics Subject Classification ID: 55P15
Mathematics Subject Classification ID: 55U35
Mathematics Subject Classification ID: 18G30
Mathematics Subject Classification ID: 55U10
Mathematics Subject Classification ID: 55R05
Mathematics Subject Classification ID: 55R15
zbMATH DE Number: 3868224
zbMATH Keywords: classification complex
zbMATH Keywords: diagrams of simplicial sets
zbMATH Keywords: objects in a closed simplicial model category
zbMATH Keywords: Postnikov conjugates
zbMATH Keywords: simplicial fibrations
author: William Dwyer
author: D. M. Kan
MaRDI profile type: Publication
full work available at URL: 0040-9383(84)90035-1
OpenAlex ID: W2028014686
description: scientific article; zbMATH DE number 3868224