Category:Convex Sets (Order Theory)

This category contains results about Convex Sets (Order Theory) in the context of Order Theory.
Definitions specific to this category can be found in Definitions/Convex Sets (Order Theory).

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

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