adjunction

listen to the pronunciation of adjunction
Английский Язык - Турецкий язык
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daughter adjunction
(Dilbilim) yakın bitiştirme
sister adjunction
(Dilbilim) yakın bitiştirme
Английский Язык - Английский Язык
A form of similarity between a pair of categories \mathcal{C} and \mathcal{D} which is weaker than equivalence, which in turn is weaker than isomorphism. Given functors F: \mathcal{C} \rightarrow \mathcal{D} and G: \mathcal{D} \rightarrow \mathcal{C} , F is "left adjoint" of G, and G "right adjoint" of F, denoted as F \dashv G , if

natural in Y means that for every f:Y \rightarrow Y', \alpha:\mathcal{D}(FX,Y) \rightarrow \mathcal{C}(X,GY) composed with \mathcal{C}(X,Gf):\mathcal{C}(X,GY) \rightarrow \mathcal{C}(X,GY') commutes with \mathcal{D}(FX,f):\mathcal{D}(FX,Y) \rightarrow \mathcal{D}(FX,Y') composed with \alpha:\mathcal{D}(FX,Y') \rightarrow \mathcal{C}(X,GY').

{n} the act of joining, the thing joined
The process of adding or annexing a parcel of land to a larger parcel
The process of adding a parcel of land to a larger parcel
an act of joining or adjoining things
{i} addition of something; addition of a modifying word or phrase (Grammar)
The act of joining; the thing joined or added
adjunction
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