Torsion in the cohomology of finite loop spaces and the Eilenberg-Moore spectral sequence
type: Item
instance of: scholarly article
title: Torsion in the cohomology of finite loop spaces and the Eilenberg-Moore spectral sequence
zbMATH Open document ID: 0939.55006
DOI: 10.1016/S0166-8641(98)00094-7
author: Frank Neumann
published in: Topology and its Applications
publication date: 2000-07-06T00:00:00Z
review text: The author studies the torsion in the integral cohomology \(H^*(X,\mathbb Z)\) of finite loop spaces \(X\) with maximal torus along the lines of works due to Kac in which the same question was examined for compact Lie groups. In particular, he obtains several equivalent consequences for the existence of \(p\)-torsion in \(H^*(X,\mathbb Z)\). The proofs are purely homotopical and do not rely on special cohomological calculations.
reviewed by: Kohhei Yamaguchi
Mathematics Subject Classification ID: 55P35
Mathematics Subject Classification ID: 55T10
Mathematics Subject Classification ID: 55T20
zbMATH DE Number: 1395059
zbMATH Keywords: finite loop space
MaRDI profile type: Publication
full work available at URL: s0166-8641(98)00094-7
OpenAlex ID: W2063847673
description: scientific article; zbMATH DE number 1395059