Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Denominator-preserving maps   Let F be a continuous injective map from an open subset of R^n to R^n. Assume
that, for infinitely many k>1, F induces a bijection between the rational
points of denominator k in the domain and those in the image (the denominator
of (a_1/b_1,...,a_n/b_n) being the l.c.m. of b_1,...,b_n). Then F preserves the
Lebesgue measure.

26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an