Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the image set and reversibility of shift morphisms over discrete
  alphabets   In this paper we provide sufficient conditions in order to show that the set
image of a continuous and shift-commuting map defined on a shift space over an
arbitrary discrete alphabet is also a shift space; additionally, if such a map
is injective, then its inverse is also continuous and shift-commuting.

12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn