# Definition:Bounded Above Set/Unbounded

< Definition:Bounded Above Set(Redirected from Definition:Unbounded Above Set)

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*This page is about Unbounded Above in the context of Ordered Set. For other uses, see Unbounded Above.*

## Definition

Let $\struct {S, \preceq}$ be an ordered set.

A subset $T \subseteq S$ is **unbounded above (in $S$)** if and only if it is not bounded above.

## Also see

- Results about
**unbounded above sets**can be found**here**.

## Sources

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