Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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.

3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas