# 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)



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

A metric space has a carrier set and a distance function that is nonnegative, zero exactly at equal points, symmetric and satisfies the triangle inequality.

atlas-metric-space · canonical_mko

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

## Prerequisite nodes


- [Set](https://ocme.evemisslab.com/en/atlas/atlas-set/)
- [Function mapping](https://ocme.evemisslab.com/en/atlas/atlas-function-mapping/)
- [Binary relations and set projections](https://ocme.evemisslab.com/en/atlas/atlas-relation/)
- [Real number](https://ocme.evemisslab.com/en/atlas/atlas-real-number/)
- [Usual order on the real numbers](https://ocme.evemisslab.com/en/atlas/atlas-order-relation/)