41 research outputs found
Relations in the 24-th homotopy groups of spheres
The main purpose of this note is to give a proof of the fact that the Toda
brackets are not
trivial. This is an affirmative answer of the second author's Conjecture
(Determination of the -image by Toda brackets, Geometry and Topology
Monographs 13(2008), 355-383). The second purpose is to show the relation
in .Comment: 27 page
Determination of the order of the P-image by Toda brackets
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.Comment: This is the version published by Geometry & Topology Monographs on 19
March 200
ON THE STABLE HOMOTOPY OF A Z_2-MOORE SPACE (Dedicated to Professor A. Komatu for his 60th birthday)
Gottlieb groups of spheres
This paper takes up the systematic study of the Gottlieb groups G(n+k)(S-n) of spheres for k = 4.ArticleTopology. 47(6):399-430 (2008)journal articl