Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On long increasing chains modulo flat ideals   We prove that e.g. there is no omega_4-sequence in (omega_3)^{omega_3}
increasing modulo the ideal of countable sets.

10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys