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

6 votes
1 answer
510 views

Which direction of the adjoint functor theorem is most useful?

In the daily life of a working mathematician which direction of the adjoint functor theorem is more useful? Unpacking, does one find it more useful to: a) prove that a functor admits an adjoint and co …
Dick Johnson's user avatar
5 votes
0 answers
247 views

Derived category of an abelian monoidal category

For any abelian category $\mathcal{A}$, we can consider its derived category $\mathcal{D(A)}$, which is naturally triangulated. If $\mathcal{A}$ is endowed with a monoidal structure (bilinear with re …
Dick Johnson's user avatar