(a) Let S : D and T : D be covariant functors and...
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(a) Let S : ℓ → D and T : ℓ → D be covariant functors and α : S → T a natural isomorphism. Then there is a natural isomorphism β: T → S such that βα = IS and αβ = IT, where IS : S → S is the identity natural isomorphism and similarly for IT.
(b) Extend (a) to functors of several variables.
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a Lets prove the statement given in part a Given Covariant functors S D and T D A natural isomorphis...View the full answer
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Related Book For 
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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