Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable intersection of middle-$\alpha$ Cantor sets   In the present paper, We introduce a pair of middle Cantor sets namely
$(C_\alpha, C_\beta)$ having stable intersection, while the product of their
thickness is smaller than one. Furthermore, the arithmetic difference
$C_\alpha- \lambda C_\beta$ contains at least one interval for each nonzero
number $\lambda$.

20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int