Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Waist inequality for 3-manifolds with positive scalar curvature   We construct singular foliations of compact three-manifolds $(M^3,h)$ with
scalar curvature $R_h\geq \Lambda_0>0$ by surfaces of controlled area, diameter
and genus. This extends Urysohn and waist inequalities of Gromov-Lawson and
Marques-Neves.

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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg