Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arcs in the Plane   Assuming PFA, every uncountable subset E of the plane meets some C^1 arc in
an uncountable set. This is not provable from MA(aleph_1), although in the case
that E is analytic, this is a ZFC result. The result is false in ZFC for C^2
arcs, and the counter-example is a perfect set.

29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas