Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the existence of the self map v_2^9 on the Smith-Toda complex V(1) at
  the prime 3   Let V(1) be the Smith-Toda complex at the prime 3. We prove that there exists
a map v_2^9: \Sigma^{144}V(1) \to V(1) that is a K(2) equivalence. This map is
used to construct various v_2-periodic infinite families in the 3-primary
stable homotopy groups of spheres.

17
The categories of this paper are: q-fin
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The categories of this paper are: stat
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg