Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Cauchy Completeness of the Constructive Cauchy Reals   It is consistent with constructive set theory (without Countable Choice,
clearly) that the Cauchy reals (equivalence classes of Cauchy sequences of
rationals) are not Cauchy complete. Related results are also shown, such as
that a Cauchy sequence of rationals may not have a modulus of convergence, and
that a Cauchy sequence of Cauchy sequences may not converge to a Cauchy
sequence, among others.

9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess