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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.

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A question about the adjointness of two functors on presheaf categories induced by a functor...

Given any functor between two small categories, one may construct two functors between their presheaf categories. Let $f:\mathcal{A}\rightarrow\mathcal{B}$ be such a functor. Then we may extend this f …