André-Quillen cohomology and the homotopy groups of mapping spaces: Understanding the \(E_ 2\)-term of the Bousfield-Kan spectral sequence
type: Item
instance of: scholarly article
title: André-Quillen cohomology and the homotopy groups of mapping spaces: Understanding the \(E_ 2\)-term of the Bousfield-Kan spectral sequence
zbMATH Open document ID: 0704.55014
DOI: 10.1016/0022-4049(90)90021-9
author: Paul Goerss
published in: Journal of Pure and Applied Algebra
publication date: 1990-01-01T00:00:00Z
review text: The author studies the homotopy groups of the space of continuous functions between two topological spaces X and Y, considering the algebra derivations between their cohomology algebra. In this way he applies the commutative algebra cohomology of André-Quillen to understand the \(E_ 2\)-term of the Bousfield-Kan spectral sequence and to explore computational tools for approaching it.
Mathematics Subject Classification ID: 55T15
Mathematics Subject Classification ID: 55Q20
zbMATH DE Number: 4155452
zbMATH Keywords: homotopy groups
zbMATH Keywords: algebra derivations
zbMATH Keywords: cohomology algebra
MaRDI profile type: Publication
full work available at URL: 0022-4049(90)90021-9
OpenAlex ID: W2020622660
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description: scientific article; zbMATH DE number 4155452