Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the existence of a v_2^32-self map on M(1,4) at the prime 2   Let M(1) be the mod 2 Moore spectrum. J.F. Adams proved that M(1) admits a
minimal v_1-self map v_1^4: Sigma^8 M(1) -> M(1). Let M(1,4) be the cofiber of
this self-map. The purpose of this paper is to prove that M(1,4) admits a
minimal v_2-self map of the form v_2^32: Sigma^192 M(1,4) -> M(1,4). The
existence of this map implies the existence of many 192-periodic families of
elements in the stable homotopy groups of spheres.

28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int