Yoneda embedding

Noun

(category theory) An embedding of a category 𝒞 within the category of functors from 𝒞 to the category of sets. Such an embedding is effected by a Yoneda functor.

Japanese Meaning

与えられた圏 C を、C から集合の圏への関手全体の圏の中に、Yoneda 関手によって埋め込む概念。圏論において、Yoneda embedding は圏をその内部の関手の圏に忠実に反映させる手法を指す。

What is this buttons?

Understanding the Yoneda embedding is essential for many constructions in category theory.

Google Translation / DeepL Translation

圏論では、圏を集合値関手の圏に埋め込むヨネダ関手による埋め込みを理解することが多くの構成に不可欠だ。

Details

Sense（1）

(category theory) An embedding of a category 𝒞 within the category of functors from 𝒞 to the category of sets. Such an embedding is effected by a Yoneda functor.

Yoneda embeddings

（ plural ）

Details

Yoneda embedding

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