# Complete metric space

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Complete metric space](https://ocme.evemisslab.com/en/atlas/atlas-complete-metric-space/)

A metric space is complete when every Cauchy sequence converges to a point still belonging to that space.

atlas-complete-metric-space · canonical_mko

[Complete metric space](https://ocme.evemisslab.com/en/mko/mko-complete-metric-space/)

## Prerequisite nodes


- [Cauchy sequence](https://ocme.evemisslab.com/en/atlas/atlas-cauchy-sequence/)
- [Convergence in a metric space](https://ocme.evemisslab.com/en/atlas/atlas-metric-convergence/)
- [Metric space](https://ocme.evemisslab.com/en/atlas/atlas-metric-space/)