What does yoneda embedding mean?
Definitions for yoneda embedding
yoneda em·bed·ding
This dictionary definitions page includes all the possible meanings, example usage and translations of the word yoneda embedding.
Wiktionary
Yoneda embeddingnoun
Given category , a Yoneda embedding for this category is a functor such that for any object A in , and for any morphism in , where the natural transformation has components . Then . Otherwise, it is a functor such that and for any in , where has components . Then .
Wikipedia
yoneda embedding
In mathematics, the Yoneda lemma is arguably the most important result in category theory. It is an abstract result on functors of the type morphisms into a fixed object. It is a vast generalisation of Cayley's theorem from group theory (viewing a group as a miniature category with just one object and only isomorphisms). It allows the embedding of any locally small category into a category of functors (contravariant set-valued functors) defined on that category. It also clarifies how the embedded category, of representable functors and their natural transformations, relates to the other objects in the larger functor category. It is an important tool that underlies several modern developments in algebraic geometry and representation theory. It is named after Nobuo Yoneda.
Numerology
Chaldean Numerology
The numerical value of yoneda embedding in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of yoneda embedding in Pythagorean Numerology is: 1
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"yoneda embedding." Definitions.net. STANDS4 LLC, 2024. Web. 23 Dec. 2024. <https://www.definitions.net/definition/yoneda+embedding>.
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