Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Marden's Tameness Conjecture: history and applications   Marden's Tameness Conjecture predicts that every hyperbolic 3-manifold with
finitely generated fundamental group is homeomorphic to the interior of a
compact 3-manifold. It was recently established by Agol and Calegari-Gabai. We
will survey the history of work on this conjecture and discuss its many
applications.

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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat