Some algebraic constructions in rational homotopy theory
type: Item
instance of: scholarly article
title: Some algebraic constructions in rational homotopy theory
zbMATH Open document ID: 0889.55005
DOI: 10.1016/S0166-8641(97)00012-6
author: Edgar H. jun. Brown
author: Robert H. Szczarba
published in: Topology and its Applications
publication date: 1997-11-06T00:00:00Z
review text: The authors address the problem of computing the rational pseudohomotopy groups of connected components of spaces of sections of fibrations, in terms of differential graded commutative algebra models. They give an explicit manageable construction of a cochain complex whose homology gives the desired rational homotopy groups.
Mathematics Subject Classification ID: 55P62
Mathematics Subject Classification ID: 55Q52
Mathematics Subject Classification ID: 54C40
zbMATH DE Number: 1083985
zbMATH Keywords: function spaces
zbMATH Keywords: homotopy groups
zbMATH Keywords: minimal models
zbMATH Keywords: spaces of sections of fibrations
reviewed by: Ştefan Papadima
MaRDI profile type: Publication
cites work: On 𝑃𝐿 de Rham theory and rational homotopy type
full work available at URL: s0166-8641(97)00012-6
OpenAlex ID: W1990386676
description: scientific article; zbMATH DE number 1083985