# Definitions for yoneda embeddingyoneda em·bed·ding

### WiktionaryRate this definition:0.0 / 0 votes

1. 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 .

### WikipediaRate this definition:0.0 / 0 votes

1. 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

1. Chaldean Numerology

The numerical value of yoneda embedding in Chaldean Numerology is: 2

2. Pythagorean Numerology

The numerical value of yoneda embedding in Pythagorean Numerology is: 1

### Translation

#### Find a translation for the yoneda embedding definition in other languages:

Select another language:

• - Select -
• 简体中文 (Chinese - Simplified)
• Español (Spanish)
• Esperanto (Esperanto)
• 日本語 (Japanese)
• Português (Portuguese)
• Deutsch (German)
• العربية (Arabic)
• Français (French)
• Русский (Russian)
• 한국어 (Korean)
• עברית (Hebrew)
• Gaeilge (Irish)
• Українська (Ukrainian)
• اردو (Urdu)
• Magyar (Hungarian)
• मानक हिन्दी (Hindi)
• Indonesia (Indonesian)
• Italiano (Italian)
• தமிழ் (Tamil)
• Türkçe (Turkish)
• తెలుగు (Telugu)
• ภาษาไทย (Thai)
• Tiếng Việt (Vietnamese)
• Čeština (Czech)
• Polski (Polish)
• Bahasa Indonesia (Indonesian)
• Românește (Romanian)
• Nederlands (Dutch)
• Ελληνικά (Greek)
• Latinum (Latin)
• Svenska (Swedish)
• Dansk (Danish)
• Suomi (Finnish)
• فارسی (Persian)
• ייִדיש (Yiddish)
• հայերեն (Armenian)
• Norsk (Norwegian)
• English (English)

## Citation

#### Use the citation below to add this definition to your bibliography:

Style:MLAChicagoAPA

"yoneda embedding." Definitions.net. STANDS4 LLC, 2023. Web. 7 Dec. 2023. <https://www.definitions.net/definition/yoneda+embedding>.

## Are we missing a good definition for yoneda embedding? Don't keep it to yourself...

#### Free, no signup required:

Get instant definitions for any word that hits you anywhere on the web!

#### Free, no signup required:

Get instant definitions for any word that hits you anywhere on the web!

### Quiz

#### Are you a words master?

»
##### warn strongly; put on guard
• A. abet
• B. flub
• C. lucubrate
• D. monish