# 常层函子保极限　`prop.constant-sheaf-preserves-limits`
命题：常（预）层函子 $\Delta$ 保所有极限
layer 16 · 命题 · 层与拓扑 · 范畴论
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设 $\mathcal{C}$ 是 site，$\Delta : \mathbf{Set} \to \widehat{\mathcal{C}}$ 把集合 $E$ 送到**常预层**，$\underline{(-)}$ 表示对应的**常层**。则：
> 陈述续见 [nodes/prop.constant-sheaf-preserves-limits.2.md](./prop.constant-sheaf-preserves-limits.2.md)


## 为什么成立（入边，证明在 proofs/）
- …另有入边，续页见 [nodes/prop.constant-sheaf-preserves-limits.3.md](./prop.constant-sheaf-preserves-limits.3.md)

refs: Le Stum, An introduction to condensed mathematics, §3.2

> 说明见 `notes/prop.constant-sheaf-preserves-limits.md`

引用：`prop.constant-sheaf-preserves-limits`（内容 v0.9.0）· 条款见 [LICENSE.txt](../LICENSE.txt)