Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topology of Diophantine Sets: Remarks on Mazur's Conjectures   We show that Mazur's conjecture on the real topology of rational points on
varieties implies that there is no diophantine model of the rational integers
in the rational numbers. We also prove that there is a diophantine model of the
polynomial ring over a finite field in the ring of rational functions over that
finite field. Both proofs depend upon Matijasevich's theorem.

17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an