The \(v_ 1\)-periodic unstable Novikov spectral sequence
type: Item
instance of: scholarly article
title: The \(v_ 1\)-periodic unstable Novikov spectral sequence
zbMATH Open document ID: 0751.55011
DOI: 10.1016/0040-9383(92)90063-N
author: Martin Bendersky
published in: Topology
publication date: 1992-09-26T00:00:00Z
review text: Let \(p\) be a prime. The \(p\)-primary \(v_ 1\)-periodic homotopy groups \(v_ 1^{-1}\pi_ *(X)\) of a space \(X\) are defined as a direct limit. These groups contain obstructions to a number of important geometrical problems; e.g. James numbers. In this paper the author defines the \(v_ 1\)-local Unstable Novikov Spectral Sequence and, in the case of compact, \(p\)-torsion free Lie groups, shows how the localized spectral sequence determines the periodic homotopy at odd primes. Since the periodic Unstable Novikov Spectral Sequence converges for the odd spheres, the problem of calculating the periodic homotopy groups reduces to an algebraic problem.
reviewed by: Yasukuni Furukawa
Mathematics Subject Classification ID: 55Q40
Mathematics Subject Classification ID: 55T99
zbMATH DE Number: 54631
zbMATH Keywords: \(v_ 1\)-periodic homotopy groups
zbMATH Keywords: Novikov Spectral Sequence
zbMATH Keywords: Lie groups
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 54631