---
type: "concept"
title: "Convex set"
slug: "convex-set"
language: "en"
translationGroupId: "cmr4uau0b0003qu01gzfizdz7"
domain: "Algebra"
status: "stub"
aliases: []
lastEditedBy: "ancient-tree"
---

A subset $A$ of a [[Vector space|vector space]] $V$ is convex if, for all $x,y$ in $A$, the [[segment|segment]] $[x,y]$ joining $x$ and $y$ is contained in $A$.