Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homotopy equivalences of localized aspherical complexes   By studying the group of self homotopy equivalences of the localization (at a
prime $p$ and/or zero) of some aspherical complexes, we show that, contrary to
the case when the considered space is a nilpotent complex, $\mathcal{E}_{\#}^m
(X_{p})$ is in general different from $\mathcal{E}_{\#}^m (X)_{p}$. That is the
case even when $X=K(G,1)$ is a finite complex and/or $G$ satisfies extra
finiteness or nilpotency conditions, for instance, when $G$ is finite or
virtually nilpotent.

36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th