# Definition:Bounded Set/Unbounded

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

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

## Definition

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

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

## Also see

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

## Sources

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