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Mathlib.CategoryTheory.Linear.Yoneda

The Yoneda embedding for R-linear categories #

The Yoneda embedding for R-linear categories C, sends an object X : C to the ModuleCat R-valued presheaf on C, with value on Y : Cᵒᵖ given by ModuleCat.of R (unop Y ⟶ X).

TODO: linearYoneda R C is R-linear. TODO: In fact, linearYoneda itself is additive and R-linear.

The Yoneda embedding for R-linear categories C, sending an object X : C to the ModuleCat R-valued presheaf on C, with value on Y : Cᵒᵖ given by ModuleCat.of R (unop Y ⟶ X).

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    The Yoneda embedding for R-linear categories C, sending an object Y : Cᵒᵖ to the ModuleCat R-valued copresheaf on C, with value on X : C given by ModuleCat.of R (unop Y ⟶ X).

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    • One or more equations did not get rendered due to their size.
    Instances For