The Samelson space of a fibration
type: Item
instance of: scholarly article
title: The Samelson space of a fibration
zbMATH Open document ID: 0618.55005
published in: Michigan Mathematical Journal
publication date: 1987-01-01T00:00:00Z
review text: In his earlier paper [Proc. Am. Math. Soc. 96, 505-512 (1986; Zbl 0602.55006)] the author studied the Samelson space of an arbitrary fibration \(F\to E\to B\). In this paper he presents rational versions of various topological results whithin the unifying framework of the Samuelson space method. First a topological argument is sketched for the rational fibre decomposition theorem and an elementary proof is obtained for the transgression theorem. Other results such as the trace theorem and fiber number theorem are considered. Then the homotopy Euler characteristic of elliptic spaces, the fibred suspensions and coformal maps are studied. Finally the author presents some extensions of the method.
Mathematics Subject Classification ID: 55P62
Mathematics Subject Classification ID: 55R05
zbMATH DE Number: 4003059
zbMATH Keywords: Samelson space
zbMATH Keywords: fibration
zbMATH Keywords: rational fibre decomposition theorem
zbMATH Keywords: transgression theorem
zbMATH Keywords: homotopy Euler characteristic of elliptic spaces
zbMATH Keywords: fibred suspensions
zbMATH Keywords: coformal maps
author: John Oprea
reviewed by: Vasile Oproiu
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1307/mmj/1029003490
OpenAlex ID: W1981750538
DOI: 10.1307/MMJ/1029003490
description: scientific article; zbMATH DE number 4003059