Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the representability of actions in the topos context   The notion of a group G acting on a group X is well-known. Fixing X, the
corresponding functor Act(-,X) is representable by the group [X] of
automorphisms of X. The notion of G-action on X has been generalized to the
context of a semi-abelian category, but in this general context, the functor
Act(-,X) is generally not representable. We investigate the representability of
the functor Act(-,X) for the semi-abelian category, dual of the category of
pointed objects of a topos E. The representability holds in particular when E
is a Boolean topos or a topos of presheaves of sets, but does not hold in
general, not even for a Grothendieck topos E.

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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an