Category:Definitions/Convex Sets

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This category contains definitions related to Convex Sets in the context of Order Theory.
Related results can be found in Category: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 "Definitions/Convex Sets"

The following 4 pages are in this category, out of 4 total.