Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Whitney extension theorem in high dimensions   We prove a variant of the standard Whitney extension theorem for $\mathcal
C^m(\mathbb R^n)$, in which the norm of the extension operator has polynomial
growth in $n$ for fixed $m$.

17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org