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Pullback and finite coproduct preserving functors between categories of permutation representations
Theory and applications of categories, Tome 16 (2006), pp. 771-784
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Motivated by applications to Mackey functors, Serge Bouc characterized pullback and finite coproduct preserving functors between categories of permutation representations of finite groups. Initially surprising to a category theorist, this result does have a categorical explanation which we provide.

Classification : 58A03, 18A30
Keywords: topos, permutation representations, limits and colimits, adjunction, Mackey functors 
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     title = {Pullback and finite coproduct preserving functors between categories of permutation representations},
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     volume = {16},
     language = {en},
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Elango Panchadcharam; Ross Street. Pullback and finite coproduct preserving functors between categories of permutation representations. Theory and applications of categories, Tome 16 (2006), pp. 771-784. http://geodesic.mathdoc.fr/item/TAC_2006_16_a27/