Torsion in loop space homology
type: Item
instance of: scholarly article
title: Torsion in loop space homology
zbMATH Open document ID: 0594.55007
DOI: 10.1016/0040-9383(86)90036-4
author: Luchezar L. Avramov
published in: Topology
publication date: 1986-01-01T00:00:00Z
review text: The author proves the existence of a 1-connected CW-complex X with cells in dimensions 0,2 and 4 only, such that \(H_*(\Omega X, {\mathbb{Z}})\) has p- torsion for every prime p. The description of \(H_*(\Omega X,k)\), for a commutative ring k is given by a well-known theorem of Adams and Hilton proved in the mid 1950's. The more recent ingredient is inspired by work of R. Fröberg et al. on Poincaré series of local rings in flat families. Similar results have been established by \textit{D. J. Anick} [Pac. J. Math. 123, 257-262 (1986; Zbl 0553.55005)].
reviewed by: J. R. Hubbuck
Mathematics Subject Classification ID: 55P35
Mathematics Subject Classification ID: 57T25
zbMATH DE Number: 3955981
zbMATH Keywords: torsion in the homology of loop spaces
zbMATH Keywords: Poincaré series of local rings
MaRDI profile type: Publication
full work available at URL: 0040-9383(86)90036-4
OpenAlex ID: W1996363794
description: scientific article; zbMATH DE number 3955981