Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The number of independent elements in the product of interval Boolean
  algebras   We prove that in the product of kappa many Boolean algebras we cannot find an
independent set of more than 2^kappa elements solving a problem of Monk
(earlier it was known that we cannot find more than 2^{2^kappa} but can find
2^kappa).

3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat