Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Hausdorff dimension of ultrametric subsets in R^n   For every e>0, any subset of R^n with Hausdorff dimension larger than (1-e)n
must have ultrametric distortion larger than 1/(4e).

6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th