Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arcs, Cords and Felts - Six instances of the Linearization Principle   It is shown how a selection of prominent results in singularity theory and
differential geometry can be deduced from one theorem, the Rank Theorem for
maps between spaces of power series.

32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
19
The categories of this paper are: eess