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Consequences of the kahn–priddy theorem in homotopy and geometry

Part of: Homotopy theory

Published online by Cambridge University Press:  26 February 2010

A. J. Berrick
A. J. Berrick
Affiliation:
Department of Mathematics, National University of Singapore, Kent Ridge, Singapore 0511.
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Extract

Much recent attention has been given to geometric representation of elements of the stable homotopy groups of spheres, π*s A particular example concerns non-singular bilinear maps ℝm+1 × ℝn+1 → ℝm+n+1−p; on restriction and normalisation these become biskew maps Sm × Sn ℝ Sm+n-p;. Now the Hopf construction ℋ applied to any map f: Sm × Sn → Sm+n-p yields

MSC classification

Secondary: 55P99: None of the above, but in this section
Type
Research Article
Information
Mathematika , Volume 28 , Issue 1 , June 1981 , pp. 72 - 78
Copyright
Copyright © University College London 1981

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