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Yes, adjunction is playable

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Found in the following dictionaries

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OTCWL2014 (NASPA Word List 2014)
TWL06 (NASPA List 2006)

"Adjunction" Definition

noun

A form of similarity between a pair of categories mathcal and mathcal which is weaker than equivalence, which in turn is weaker than isomorphism. Given functors F:mathcal ightarrow mathcal and G:mathcal ightarrow mathcal , F is "left adjoint" of G, and G "right adjoint" of F, denoted as F dashv G , if.
Source: Wiktionary
Eta G: G ightarrow GFG composed with F epsilon: GFG ightarrow G commutes with mbox_G: G ightarrow G .TheCatsters – Adjunctions 1.
Source: Wiktionary
F eta : F ightarrow FGF composed with epsilon G: FGF ightarrow F commutes with mbox_F: F ightarrow F and.
Source: Wiktionary
There are a pair of natural transformations eta: mbox_mathcal ightarrow GF and epsilon: FG ightarrow mbox_mathcal satisfying the following "triangle identities":.
Source: Wiktionary
There is a natural isomorphism alpha: mathcal(FX,Y) cong mathcal(X,GY) , which is natural in the sense of being "natural in X and Y", where.
Source: Wiktionary

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