k-invariants in Kan fibrations with fiber K(G,n)
type: Item
instance of: scholarly article
title: k-invariants in Kan fibrations with fiber K(G,n)
zbMATH Open document ID: 0616.55015
DOI: 10.1007/BF01157038
author: T. N. Savitskaya
published in: Mathematical Notes
publication date: 1986-01-01T00:00:00Z
review text: Working in 1-connected simplicial sets, the author poses the following problem: given a map \(\ell: B\to K(G,n+1)\), we have an induced fibration \(p: E\to B\). Then can we express the k-invariants of E in terms of these of B and the map \(\ell ?\) The present paper offers explicit simplicial answers to this question on a cochain level. The proofs are very direct and involve explicit constructions, such as the map \({\hat \ell}: B^{(n)}\to K(co\ker \ell_*,n+1)\) of section 2.
Mathematics Subject Classification ID: 55S45
Mathematics Subject Classification ID: 55R05
Mathematics Subject Classification ID: 55U10
zbMATH DE Number: 3998775
zbMATH Keywords: Kan fibration
zbMATH Keywords: 1-connected simplicial sets
zbMATH Keywords: k-invariants
reviewed by: Donald W. Kahn
MaRDI profile type: Publication
cites work: Q5639010
full work available at URL: https://doi.org/10.1007/bf01157038
OpenAlex ID: W2009010470
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description: scientific article; zbMATH DE number 3998775