A suspension spectral sequence for \(v_ n\)-periodic homotopy groups
type: Item
instance of: scholarly article
title: A suspension spectral sequence for \(v_ n\)-periodic homotopy groups
zbMATH Open document ID: 0826.55013
DOI: 10.1007/BF02572600
author: David Blanc
author: Robert D. Thompson
published in: Mathematische Zeitschrift
publication date: 1995-12-05T00:00:00Z
full work available at URL: https://eudml.org/doc/174795
review text: We describe a category of towers of spaces in which the \(v\)-periodic homotopy groups of a space \(X\) with respect to any map \(v: \Sigma^d M\to M\) are representable. Using this description we construct a spectral sequence converging to the \(v_n\)-periodic homotopy groups of the suspension of a space \(X\) of type \(n\), with \(E^2\)-term depending only on \(v_n^{-1} \pi_* (X; M)\).
Mathematics Subject Classification ID: 55T99
Mathematics Subject Classification ID: 55Q70
Mathematics Subject Classification ID: 55P42
Mathematics Subject Classification ID: 55P60
zbMATH DE Number: 799545
zbMATH Keywords: category of towers of spaces
zbMATH Keywords: \(v\)-periodic homotopy groups
zbMATH Keywords: representable
zbMATH Keywords: \(v_ n\)-periodic homotopy groups of the suspension of a space
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 799545