Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the cohomology of pro-fusion systems   We prove the Cartan-Eilenberg stable elements theorem and construct a
Lyndon-Hochschild-Serre type spectral sequence for pro-fusion systems. As an
application, we determine the continuous mod-$p$ cohomology ring of
$\text{GL}_2(\mathbb{Z}_p)$ for any odd prime $p$.

26
The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
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The categories of this paper are: nlin
3
The categories of this paper are: physics
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The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: eess