Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Invertibility of Sobolev Mappings   We prove local and global invertibility of Sobolev solutions of certain
differential inclusions which prevent the differential matrix from having
negative eigenvalues. Our results are new even for quasiregular mappings in two
dimensions.

21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
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The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs