What does yoneda lemma mean?
Definitions for yoneda lemma
yone·da lem·ma
This dictionary definitions page includes all the possible meanings, example usage and translations of the word yoneda lemma.
Wiktionary
Yoneda lemmanoun
Given a category C with an object A, let H be a representable functor from C to the category of Sets, and let F be any functor from C to Sets, then there is a "natural" isomorphism between the set F(A) and Nat(H,F), the set of natural transformations from H to F.
Etymology: Lemma named after the Japanese mathematician Nobuo Yoneda.
Wikipedia
Yoneda lemma
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.
Wikidata
Yoneda lemma
In mathematics, specifically in category theory, the Yoneda lemma 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. It allows the embedding of any category into a category of 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 lemma in Chaldean Numerology is: 4
Pythagorean Numerology
The numerical value of yoneda lemma in Pythagorean Numerology is: 9
Translations for yoneda lemma
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- yoneda lemmaNorwegian
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"yoneda lemma." Definitions.net. STANDS4 LLC, 2024. Web. 29 Apr. 2024. <https://www.definitions.net/definition/yoneda+lemma>.
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