Definition:Upper Bound of Set

Definition
Let $\left({S, \preceq}\right)$ be a poset.

Let $T \subseteq S$ be bounded above in $S$ by an element $M \in S$.

Then $M$ is an upper bound for $T$.

Also defined as
Some sources use the terminology the upper bound to refer to the notion of supremum.

Also see

 * Lower Bound
 * Bounded Below
 * Bounded Above
 * Bounded