Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Brouwer's fan theorem   Brouwer's fan theorem states that every bar is a uniform bar. We give an
overview of the status of this axiom in Bishop's constructive mathematics. In
particular, we describe the relationship between the fan theorem, the weak
K\"onig lemma, and the uniform continuity theorem.

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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con