# 弱 Hausdorff 的基本性质　`prop.weak-hausdorff-basic`
弱 Hausdorff 的几条基本性质
layer 18 · 命题 · 紧生成空间与弱 Hausdorff · 拓扑学
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设 $X$ 弱 Hausdorff。则
> 陈述续见 [nodes/prop.weak-hausdorff-basic.2.md](./prop.weak-hausdorff-basic.2.md)


## 为什么成立（入边，证明在 proofs/）
- [`def.product-topology`](../nodes/def.product-topology.md) 积拓扑：用到了定义 积拓扑　[proofs/def-dep.weakhaus-diagonal.md](../proofs/def-dep.weakhaus-diagonal.md)

- …另有入边，续页见 [nodes/prop.weak-hausdorff-basic.3.md](./prop.weak-hausdorff-basic.3.md)

refs: Le Stum, An introduction to condensed mathematics, §2.3

> 说明见 `notes/prop.weak-hausdorff-basic.md`

引用：`prop.weak-hausdorff-basic`（内容 v0.9.0）· 条款见 [LICENSE.txt](../LICENSE.txt)