Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Atlas as solution of Sincov's inequality   We find a solution of Sincov's inequality. Further, we prove that in the
differentiable case we can interpret such solution as a differentiable manifold
in the original sense of Lang. This allows to generalize the notion of atlas
and transition map for non-differentiable and discontinuous case.

13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
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
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs