\begin{definition}[Definition:Bounded Metric Space/Unbounded]
Let $M = \left({X, d}\right)$ be a metric space.
Let $M' = \left({Y, d_Y}\right)$ be a subspace of $M$.
Then '''$M'$ is unbounded (in $M$)''' {{iff}} $M'$ is not bounded in $M$.
Category:Definitions/Bounded Metric Spaces
\end{definition}