Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Group of Homotopy Self-equivalences Inducing the Identity on the
  Homotopy Groups of an $F_{0}$-Space is Finite   Let $X$ be an $F_{0}$-space and let $\mathcal{E}_{\#}(X) $ the subgroup of
homotopy classes of homotopy self-equivalences of $X$ inducing the identity on
$\pi_*(X)$. The aim of this paper is to prove that $\mathcal{E}_{\#}(X) $ is
finite.

9
The categories of this paper are: nlin
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci