Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some variations of the Banach-Mazur game   The classical Banach-Mazur game is directly related to the Baire property and
the property of being a productively Baire space. In this paper, we discuss two
variations of this classic game that are even more related to these properties.

14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs