Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-meager free sets for meager relations on Polish spaces   We prove that for each meager relation $E\subset X\times X$ on a Polish space
$X$ there is a nowhere meager subspace $F\subset X$ which is $E$-free in the
sense that $(x,y)\notin E$ for any distinct points $x,y\in F$.

35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin