natural transformation

Summary

natural transformation is a transformation^[1]. It draws 232 Wikipedia views per month (transformation category, ranking #2 of 13).^[2]

Key Facts

• natural transformation is credited with the discovery of Samuel Eilenberg^[3].
• natural transformation is credited with the discovery of Saunders Mac Lane^[4].
• natural transformation's instance of is recorded as transformation^[5].
• natural transformation's subclass of is recorded as indexed family^[6].
• natural transformation's subclass of is recorded as morphism^[7].
• natural transformation's Freebase ID is recorded as /m/0c81g^[8].
• natural transformation's properties for this type is recorded as P1568^[9].
• natural transformation's properties for this type is recorded as P1571^[10].
• natural transformation's defining formula is recorded as \forall X,Y\in\operatorname{ob}\mathcal C \forall f\colon X\to Y \colon \eta_Y\circ F(f) = G(f)\circ\eta_X^[11].
• natural transformation's studied by is recorded as category theory^[12].
• natural transformation's MathWorld ID is recorded as NaturalTransformation^[13].
• natural transformation's nLab ID is recorded as natural transformation^[14].
• natural transformation's schematic is recorded as Natural transformation.svg^[15].
• natural transformation's maintained by WikiProject is recorded as WikiProject Mathematics^[16].
• natural transformation's Microsoft Academic ID is recorded as 99633028^[17].
• natural transformation's ProofWiki ID is recorded as Definition:Natural_Transformation^[18].
• natural transformation's NicoNicoPedia ID is recorded as 関手・自然変換^[19].
• natural transformation's in defining formula is recorded as \eta^[20].
• natural transformation's Encyclopedia of Mathematics article ID is recorded as Functorial_morphism^[21].
• natural transformation's OpenAlex ID is recorded as C99633028^[22].
• natural transformation's ScienceDirect topic ID is recorded as mathematics/natural-transformation^[23].
• natural transformation's Metamath statement ID is recorded as df-nat^[24].

Body

Works and Contributions

Credited discoveries include Samuel Eilenberg^[3], a mathematician^[25], 1913–1998^[26], of Poland^[27], awarded the Guggenheim Fellowship^[28], specialised in topology^[29] and Saunders Mac Lane^[4], a mathematician^[30], 1909–2005^[31], of United States^[32], awarded the Guggenheim Fellowship^[33], specialised in algebra^[34].

Why It Matters

natural transformation draws 232 Wikipedia views per month (transformation category, ranking #2 of 13).^[2] It has Wikipedia articles in 19 language editions, a strong signal of global cultural recognition.^[35] It is known by 7 alternative names across languages and contexts.^[36]