In category theory, a natural transformation provides a way of transforming one functor into another while respecting the internal structure, meaning the composition of morphisms, of the categories involved. It can be understood as a morphism of functors, a single map between two functors that is defined consistently across an entire category rather than object by object. Natural transformations let mathematicians compare different constructions on the same category and express when two such constructions behave the same way structurally.
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Source ProofWiki: Definition:Natural Transformation
Source ProofWiki: Definition:Natural Transformation
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Source Natural Transformation (Wikipedia)
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1. Natural Transformation (Wikipedia)
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In category theory, a branch of mathematics, a natural transformation provides a way of transforming one functor into another while respecting the internal structure (i.e., the composition of morphisms) of the categories involved.
In Branch: Category Theory, Lead sentence
In category theory, a branch of mathematics, a natural transformation provides a way of transforming one functor into another whil
View the SourceProofWiki: Definition:Natural Transformation
ProofWikiAttributed To: Samuel Eilenberg, Historical Note
The concept of a natural transformation was introduced by Samuel Eilenberg and Saunders Mac Lane.
Attributed To: Saunders Mac Lane, Historical Note
The concept of a natural transformation was introduced by Samuel Eilenberg and Saunders Mac Lane.
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