Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Badly approximable systems of affine forms, fractals, and Schmidt games   A badly approximable system of affine forms is determined by a matrix and a
vector. We show Kleinbock's conjecture for badly approximable systems of affine
forms: for any fixed vector, the set of badly approximable systems of affine
forms is winning (in the sense of Schmidt games) even when restricted to a
fractal (from a certain large class of fractals). In addition, we consider
fixing the matrix instead of the vector where an analog statement holds.

1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con