# Category:Convex Sets

This category contains results about Convex Sets in the context of Order Theory.

Definitions specific to this category can be found in Definitions/Convex Sets.

A subset $A$ of an ordered set $\left({S, \preceq}\right)$ is **convex (in $S$)** if and only if:

- $\forall x, y \in A: \forall z \in S: x \preceq z \preceq y \implies z \in A$

## Pages in category "Convex Sets"

The following 12 pages are in this category, out of 12 total.