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Determination of the order of the P–image by Toda brackets

Juno Mukai

Geometry & Topology Monographs 13 (2008) 355–383

DOI: 10.2140/gtm.2008.13.355

arXiv: 0904.1006

Abstract

The present paper gives a proof of the author's paper in the Proceeding of the International Conference on Homotopy Theory and Related Topics at Korea University (2005), 109–113, on the orders of Whitehead products of ιn with α∈πnn+k, (n≥ k+2, k≤ 24) and improves and extends it. The method is to use composition methods in the homotopy groups of spheres and rotation groups.

Keywords

EHP sequence, real projective space, Toda bracket, Whitehead product

Mathematical Subject Classification

Primary: 55M35, 55Q52

Secondary: 57S17

References
Publication

Received: 24 May 2006
Revised: 21 November 2006
Accepted: 28 November 2006
Published: 19 March 2008

Authors
Juno Mukai
Shinshu University
Matsumoto 390-8621
Japan