Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Occupants in manifolds   Let K be a subset of a smooth manifold M. In some cases functor calculus
methods lead to a homotopical formula for M minus K in terms of the subspaces M
minus S, where S runs through the finite subsets of K.

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The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
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The categories of this paper are: solv-int
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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: adap-org
13
The categories of this paper are: quant-ph
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The categories of this paper are: q-alg