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

6 votes
3 answers
4k views

Derived functor

Let $F:A\longrightarrow B$ be a left exact functor of Abelian categories. My question is about the derived functor $RF: D(A)\longrightarrow D(B)$. Let $X$ be an object of $A$. If $0\longrightarrow X\ …