Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification of pro-$p$ PD$^2$ pairs and the pro-$p$ curve complex   We classify pro-$p$ Poincar\'e duality pairs in dimension two. We then use
this classification to build a pro-$p$ analogue of the curve complex and
establish its basic properties. We conclude with some statements concerning
separability properties of the mapping class group.

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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th