# 表示函子　`def.representable`
表示函子与万有元素（Representable Functor）
layer 12 · 定义 · 预层与米田 · 范畴论
[在星图里打开](../#n=def.representable)　·　[节点索引](../index.md)

设 $F : \mathcal{C} \to \mathbf{Set}$ 是函子。
> 陈述续见 [nodes/def.representable.2.md](./def.representable.2.md)


## 为什么成立（入边，证明在 proofs/）
- …另有入边，续页见 [nodes/def.representable.4.md](./def.representable.4.md)

## 它能推出什么 / 谁在用它
- …另有出边，续页见 [nodes/def.representable.6.md](./def.representable.6.md)

## English abstract · **draft** · machine-drafted, pending author review; Chinese is authoritative
> English abstract 续见 [nodes/def.representable.3.md](./def.representable.3.md)

refs: Le Stum, An introduction to condensed mathematics, §1.1–1.5

外部：Wikipedia https://en.wikipedia.org/wiki/Representable_functor · nLab https://ncatlab.org/nlab/show/representable+functor

> 说明见 `notes/def.representable.md`

引用：`def.representable`（内容 v0.9.0）· 条款见 [LICENSE.txt](../LICENSE.txt)