Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inductive limit violates quasi-cocommutativity   We show that the inductive limit of a certain inductive system of
quasi-cocommutative C$^{*}$-bialgebras is not quasi-cocommutative. This implies
that the category of quasi-cocommutative C$^{*}$-bialgebras is not closed with
respect to the inductive limit.

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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: dg-ga
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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: q-bio
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn