Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A conjecture on homotopy groups of spheres, details on the algebra of
  higher cohomology operations   The theory of secondary chomology operations leads to a conjecture concerning
the algebra of higher cohomology operations in general. This conjecture is
discussed here in detail and its connection with homotopy groups of spheres and
the Adams spectral sequence is described.

6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph