Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A minimal pair in the generic degrees   We show that there is a minimal pair in the nonuniform generic degrees, and
hence also in the uniform generic degrees. This fact contrasts with Igusa's
result that there are no minimal pairs for relative generic computability, and
answers a basic structural question mentioned in several papers in the area.

14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics