---
tag: 0BY52JW6NK
kind: concept
name: Complete metric space
aliases: [complete-space]
msc: ["54E50"]
sources:
  - url: https://en.wikipedia.org/wiki/Complete_metric_space
    locator: lead section
same_as:
  wikidata: Q848569
  wikipedia: Complete metric space
---

## Summary

A complete metric space is a metric space in which each Cauchy sequence converges to a point of the space.
The real numbers are complete, and the rational numbers are not.