Rational homotopy theory of fibrations
type: Item
instance of: scholarly article
title: Rational homotopy theory of fibrations
zbMATH Open document ID: 0562.55012
author: Flavio E. A. de Silveira
published in: Pacific Journal of Mathematics
publication date: 1984-01-01T00:00:00Z
review text: The author states a relative version for the rational homotopy theory, starting with the category of fibrations with a given section. Following \textit{A. Haeflinger}'s result [Ann. Sci. Éc. Norm. Supér., IV. Sér. 9, 503-532 (1976; Zbl 0342.57014)] a model for crossed sections homotopic to a given cross section is described. Some examples illustrate this construction.
Mathematics Subject Classification ID: 55P62
Mathematics Subject Classification ID: 55R05
Mathematics Subject Classification ID: 55U35
Mathematics Subject Classification ID: 13N05
Mathematics Subject Classification ID: 16W50
Mathematics Subject Classification ID: 17B70
zbMATH DE Number: 3895942
zbMATH Keywords: spectral sequences
zbMATH Keywords: differential graded algebra
zbMATH Keywords: differential graded Lie algebra
zbMATH Keywords: closed model category
zbMATH Keywords: relative rational homotopy theory
zbMATH Keywords: fibrations with a given section
reviewed by: Jean-Claude Thomas
MaRDI profile type: Publication
full work available at URL: pjm.1984.113.1
OpenAlex ID: W1964826196
DOI: 10.2140/PJM.1984.113.1
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description: scientific article; zbMATH DE number 3895942