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advanced_tools:category_theory:yoneda_lemma

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Yoneda Lemma

Why is it interesting?

The Yoneda lemma is "arguably the most important result of category theory" (source).

Layman

Informally, [the Yoneda Lemma] implies that you can gain information about an object by viewing it from *all* possible angles. That kinda makes sense, right? To put it another way: a mathematical object is totally determined by its relationships to other objects. It's sort of like the old saying, “Tell me who your friends are, and I’ll tell you who *you* are.”Math3ma

Researcher

The motto in this section is: the higher the level of abstraction, the better.

Examples

Example1
Example2:

FAQ

History

advanced_tools/category_theory/yoneda_lemma.1510215119.txt.gz · Last modified: 2017/12/04 08:01 (external edit)