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Definition of Natural transformation
1. Noun. (category theory) Given categories ''C'' and ''D'' and functors ''F'' and ''G'' both going from ''C'' to ''D'', then a transformation ''η'' from ''F'' to ''G'' consists of components
''η''X:''F''(''X'') → ''G''(''X''), indexed by objects ''X'' of ''C'', which are morphisms in ''D''. The transformation is said to be natural if for any arrow ''f'':''X'' → ''Y'' in ''C'', the following naturality condition is satisfied: . ¹
¹ Source: wiktionary.com
Lexicographical Neighbors of Natural Transformation
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