# 距离空间　`def.metric-space`
距离空间 / 度量空间（Metric Space）
layer 13 · 定义 · 度量空间 · 拓扑学
[在星图里打开](../#n=def.metric-space)　·　[节点索引](../index.md)

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> 陈述续见 [nodes/def.metric-space.2.md](./def.metric-space.2.md)


## 为什么成立（入边，证明在 proofs/）
- …另有入边，续页见 [nodes/def.metric-space.5.md](./def.metric-space.5.md)

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

## English abstract · **draft** · machine-drafted, pending author review; Chinese is authoritative
> English abstract 续见 [nodes/def.metric-space.4.md](./def.metric-space.4.md)

refs: Rudin, Principles of Mathematical Analysis, Ch. 2；Munkres, Topology, §20

外部：Wikipedia https://en.wikipedia.org/wiki/Metric_space · nLab https://ncatlab.org/nlab/show/metric+space · Mathlib https://leanprover-community.github.io/mathlib4_docs/Mathlib/Topology/MetricSpace/Basic.html

> 说明见 `notes/def.metric-space.md`

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