##  [Yoneda Embedding](/yoneda-embedding) 

  ##  [Yoneda Embedding](https://puremath.quantumdictionary.io/yoneda-embedding-0) 

  

 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The canonical fully faithful functor y: C → [C^{op}, Set] sending each object X of a category C to the representable functor Hom_C(-,X), thereby embedding C into the presheaf category and encoding objects by their maps into them.