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

Details Determination of the order of the P-image by Toda brackets Determination of the order of the P-image by Toda brackets

2009-04-06

arxiv.org/abs/0904.1006v1

Geom. Topol. Monogr. 13 (2008) 355-383

Mathematics

Algebraic Topology

This is the version published by Geometry & Topology Monographs on 19 March 2008

Scientific paper

10.2140/gtm.2008.13.355

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 iota_n with alpha in pi^n_{n+k}, (n > k+1, k < 25) and improves and extends it. The method is to use composition methods in the homotopy groups of spheres and rotation groups.

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