Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Preservation of immersed or injective properties by composing generic
  generalized distance-squared mappings   Any generalized distance-squared mapping of equidimensional case has
singularities, and their singularity types are wrapped into mystery in higher
dimensional cases. Any generalized distance-squared mapping of equidimensional
case is not injective. Nevertheless, in this paper, it is shown that the
non-singular property or the injective property of a mapping is preserved by
composing a generic generalized distance-squared mapping of equidimensional
case.

8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin