A natural transformation all of whose components are isomorphisms. Their inverses form the inverse natural transformation.
A natural bijection between set-valued functors is a natural transformation whose component functions are bijections. Their inverse functions are automatically natural, so it is a natural isomorphism.
Ancestors (8)
- Natural transformation
- Functor
- Category
- Category theory
- Foundations of mathematics
- Area of mathematics
- Mathematics
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Incoming links (30)
- Category of adjunctions inducing a fixed monad
- Functoriality of chosen representations
- Natural bijection
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