A pull back theorem in the Adams spectral sequence
type: Item
instance of: scholarly article
title: A pull back theorem in the Adams spectral sequence
zbMATH Open document ID: 1158.55016
author: Jinkun Lin
publication date: 2008-09-09T00:00:00Z
review text: It is well known that an element in the \(E_2\)-term of the Adams spectral sequence (ASS) computing \(\pi_*(S^0_p)\) which maps to a permanent cycle for the ASS of the mod \(p\) Moore complex does not have to be a permanent cycle itself. In the present paper, the author exhibits very strong assumptions which imply the possibility of the above conclusion in special cases. This can be used to show that the element commonly labeled \(h_0h_nh_m\) in the ASS at a prime \(p\geq 5\), \(m\geq n+2\geq 4\) is a permanent cycle, detecting a specific \(\gamma\)-element.
reviewed by: Niko Naumann
Mathematics Subject Classification ID: 55Q45
Mathematics Subject Classification ID: 55T15
zbMATH DE Number: 5323396
zbMATH Keywords: Adams spectral sequence
zbMATH Keywords: Toda spectrum
zbMATH Keywords: stable homotopy groups of spheres
MaRDI profile type: Publication
full work available at URL: s10114-007-1018-5
OpenAlex ID: W2100148647
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DOI: 10.1007/S10114-007-1018-5
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 5323396