Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Duality and the pcf theory   We consider natural cardinal invariants hm_n and prove several duality
theorems, saying roughly: if I is a suitably definable ideal and provably
cov(I)>=hm_n, then non(I) is provably small. The proofs integrate the
determinacy theory, forcing and pcf theory.

19
The categories of this paper are: eess
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin