# Convex set

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)



## [Convex set](https://ocme.evemisslab.com/en/atlas/atlas-convex-set/)

A set is convex when the entire segment formed by every pair of its points and every lambda in [0,1] remains in the set.

atlas-convex-set · canonical_mko

[Convex set](https://ocme.evemisslab.com/en/mko/mko-convex-set/)

## Prerequisite nodes


- [Finite convex combination](https://ocme.evemisslab.com/en/atlas/atlas-finite-convex-combination/)
- [Subset](https://ocme.evemisslab.com/en/atlas/atlas-subset/)
- [Real vector space](https://ocme.evemisslab.com/en/atlas/atlas-real-vector-space/)