---
tag: 091GJ3FYD7
kind: concept
name: Metrizable space
aliases: [metrisable-space]
msc: ["54E35"]
specializes: [0CQHFPGJ45]
sources:
  - url: https://en.wikipedia.org/wiki/Metrizable_space
    locator: lead section
same_as:
  wikidata: Q1194053
  wikipedia: Metrizable space
inventory: [NXKZZ33W0E]
---

## Summary

A topological space is metrizable when its topology comes from some metric.
Metrization theorems give conditions on the topology alone that make a space metrizable.