Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strictification tensor product of 2-categories   Given 2-categories $\mathcal{C}$ and $\mathcal{D}$, let
$\textrm{Lax}(\mathcal{C},\mathcal{D})$ denote the 2-category of lax functors,
lax natural transformations and modifications, and
$[\mathcal{C},\mathcal{D}]_\mathrm{lnt}$ its full sub-2-category of (strict)
2-functors. We give two isomorphic constructions of a 2-category
$\mathcal{C}\boxtimes\mathcal{D}$ satisfying
$\textrm{Lax}(\mathcal{C},\textrm{Lax}(\mathcal{D},\mathcal{E})) \cong
[\mathcal{C}\boxtimes \mathcal{D},\mathcal{E}]_\mathrm{lnt}$, hence
generalising the case of the free distributive law $1\boxtimes 1$. We also
discuss dual constructions.

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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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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: q-fin
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cs