# Real normed vector 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)



## [Real normed vector space](https://ocme.evemisslab.com/en/atlas/atlas-real-normed-vector-space/)

A real vector space equipped with a positive-definite, absolutely homogeneous real-valued norm satisfying the triangle inequality.

atlas-real-normed-vector-space · canonical_mko

[Real normed vector space](https://ocme.evemisslab.com/en/mko/mko-real-normed-vector-space/)

## Prerequisite nodes


- [Real vector space](https://ocme.evemisslab.com/en/atlas/atlas-real-vector-space/)
- [Absolute value](https://ocme.evemisslab.com/en/atlas/atlas-absolute-value/)
- [Usual order on the real numbers](https://ocme.evemisslab.com/en/atlas/atlas-order-relation/)