[Merged by Bors] - feat(category_theory/monoidal): the definition of Tor #7512
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…ntially surjective
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# Tor, the left-derived functor of tensor product We define `tor C n : C ⥤ C ⥤ C`, by left-deriving in the second factor of `(X, Y) ↦ X ⊗ Y`. For now we have almost nothing to say about it! It would be good to show that this is naturally isomorphic to the functor obtained by left-deriving in the first factor, instead. Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Johan Commelin <johan@commelin.net>
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# Tor, the left-derived functor of tensor product We define `tor C n : C ⥤ C ⥤ C`, by left-deriving in the second factor of `(X, Y) ↦ X ⊗ Y`. For now we have almost nothing to say about it! It would be good to show that this is naturally isomorphic to the functor obtained by left-deriving in the first factor, instead. Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Johan Commelin <johan@commelin.net>
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Tor, the left-derived functor of tensor product
We define
tor C n : C ⥤ C ⥤ C, by left-deriving in the second factor of(X, Y) ↦ X ⊗ Y.For now we have almost nothing to say about it!
It would be good to show that this is naturally isomorphic to the functor obtained
by left-deriving in the first factor, instead.