On the iterated complex transfer
type: Item
instance of: scholarly article
title: On the iterated complex transfer
zbMATH Open document ID: 0667.55009
DOI: 10.1007/BF01159652
author: David Carlisle
author: S. Hilditch
author: Andrew Baker
author: Brayton Gray
author: N. Ray
author: R. Wood
published in: Mathematische Zeitschrift
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/173962
review text: This work is a sequel to the work of \textit{D. Carlisle}, \textit{P. Eccles}, \textit{S. Hilditch}, \textit{N. Ray}, \textit{L. Schwartz}, \textit{G. Walker}, and \textit{R. Wood} [Math. Z. 189, 239-261 (1985; Zbl 0536.55006)]. The basic object of study is the iterated transfer map \[ t(n): \Sigma^ n(CP^{\infty}_+)\wedge...\wedge (CP^{\infty}_+)\quad \to \quad S^ 0, \] where there are n copies of \(CP^{\infty}_+\) smashed together. This map is used to connect the results of the above-mentioned paper with other studies of \(\Sigma CP^{\infty}\times...\times CP^{\infty}\). Then the authors improve a result in the cited paper, using Morava K-theory, showing that certain members of the \(\beta\)-family can be represented by framed hypersurfaces.
Mathematics Subject Classification ID: 55Q45
Mathematics Subject Classification ID: 55N20
Mathematics Subject Classification ID: 55P42
zbMATH DE Number: 4092341
zbMATH Keywords: Thom spectra
zbMATH Keywords: \(\beta\)-family in the stable homotopy groups of spheres
zbMATH Keywords: iterated transfer map
zbMATH Keywords: Morava K-theory
zbMATH Keywords: framed hypersurfaces
reviewed by: Daniel H. Gottlieb
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4092341