yoneda embedding

English - English

Definition of yoneda embedding in English English dictionary

Given category \mathcal{C}, a Yoneda embedding for this category is a functor \phi such that for any object A in \mathcal{C}, \phi: A \mapsto h^A and for any morphism f: B \rightarrow A in \mathcal{C}, \phi: f \mapsto \eta: h^A \rightarrow h^B where the natural transformation η has components \eta_X: s \mapsto s\circ f . Then \phi: \mathcal{C}^{op} \rightarrow . Otherwise, it is a functor \phi such that \phi: A \mapsto h_A and for any f: A \rightarrow B in \mathcal{C}, \phi: f \mapsto \eta: h_A \rightarrow h_B where η has components \eta_X: s \mapsto f\circ s . Then \phi: \mathcal{C} \rightarrow

Hyphenation

yoneda em·bed·ding