Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: C^1-regularity for local graph representations of immersions   We consider immersions admitting uniform graph representations over the
affine tangent space over a ball of fixed radius r>0. We show that for
sufficiently small C^0-norm of the graph functions, each graph function is
smooth with small C^1-norm.

23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin