Definition:Bounded Metric Space/Unbounded
< Definition:Bounded Metric Space(Redirected from Definition:Unbounded Metric Space)
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Definition
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 $M$) if and only if $M'$ is not bounded in $M$.