Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Derived equivalences of actions of a category   Let $\Bbbk$ be a commutative ring and $I$ a category. As a generalization of
a $\Bbbk$-category with a (pseudo) action of a group we consider a family of
$\Bbbk$-categories with a (pseudo, lax, or oplax) action of $I$, namely an
oplax functor from $I$ to the 2-category of small $\Bbbk$-categories. We
investigate derived equivalences of those oplax functors, and establish a
Morita type theorem for them. This gives a base of investigations of derived
equivalences of Grothendieck constructions of those oplax functors.

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The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc