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: \eta_Y \circ F(f) = G(f) \circ \eta_X. ¹

¹ Source: wiktionary.com

Lexicographical Neighbors of Natural Transformation

natural reserve
natural resin
natural resource
natural resources
natural science
natural sciences
natural scientist
natural scientists
natural selection
natural shape
natural son
natural sons
natural spring
natural state
natural theology
natural transformation (current term)
natural unit
natural units
natural user interface
natural user interfaces
natural virtue
naturalisation
naturalisations
naturalise
naturalised
naturalises
naturalising
naturalism
naturalisms
naturalist

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