Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inclusion hyperspaces and capacities on Tychonoff spaces: functors and
  monads   The inclusion hyperspace functor, the capacity functor and monads for these
functors have been extended from the category of compact Hausdorff spaces to
the category of Tychonoff spaces. Properties of spaces and maps of inclusion
hyperspaces and capacities (non-additive measures) on Tychonoff spaces are
investigated.

3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc