Correction to: ``The Boolean algebra of spectra''
type: Item
instance of: scholarly article
title: Correction to: ``The Boolean algebra of spectra''
zbMATH Open document ID: 0532.55005
DOI: 10.1007/BF02564654
author: A. K. Bousfield
published in: Commentarii Mathematici Helvetici
publication date: 1983-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/139791
review text: Summary: [Concerns the author's paper ibid. 54, 368-377 (1979; Zbl 0421.55002)]. J. M. Boardman and others have pointed out an error in my proof of Proposition 1.5. Namely, the presentation of the CW-spectrum \(B_{\lambda}/A\) as the homotopy cofibre of 1-g on p. 371 is incorrect for a general limit ordinal \(\lambda\). The error arose when I wrongly simplified an earlier proof, and the proposition remains valid. As suggested by Boardman, the proof can be repaired by using the equivalence of \(B_{\lambda}/A\) with the homotopy colimit C of the transfinite sequence \(\{B_ s/A\}_{s<\lambda}\).
Mathematics Subject Classification ID: 55N20
Mathematics Subject Classification ID: 55P42
zbMATH DE Number: 3844622
zbMATH Keywords: Boolean algebra of spectra
zbMATH Keywords: presentation of CW-spectrum
zbMATH Keywords: homotopy category of CW-spectra
zbMATH Keywords: associated homology theory
zbMATH Keywords: Spanier-Whitehead dual
zbMATH Keywords: spectrum of complex K-theory
zbMATH Keywords: Moore spectrum
zbMATH Keywords: homological localization theory
zbMATH Keywords: homology theories with same acyclic spectra
zbMATH Keywords: homotopy cofibre
zbMATH Keywords: homotopy colimit
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3844622