Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Amenable covers and integral foliated simplicial volume   In analogy with ordinary simplicial volume, we show that integral foliated
simplicial volume of oriented closed connected aspherical $n$-manifolds that
admit an open amenable cover of multiplicity at most $n$ is zero. This implies
that the fundamental groups of such manifolds have fixed price and are cheap as
well as reproves some statements about homology growth.

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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
10
The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: q-alg