Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partition Calculus and Cardinal Invariants   We prove that the strong polarized relation of $\theta$ above $\omega$
applied simultaneously for every cardinal in the interval $[\aleph_1,\aleph]$
is consistent. We conclude that this positive relation is consistent for every
cardinal invariant on the continuum. We show that similar results hold for a
supercompact cardinal, and for a strong limit singular under some assumptions.

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The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol