Definition:Bounded Metric Space/Unbounded
< Definition:Bounded Metric Space(Redirected from Definition:Unbounded Metric Space)
Jump to navigation
Jump to search
Definition
Let $M = \struct {X, d}$ be a metric space.
Let $M' = \struct {Y, d_Y}$ be a subspace of $M$.
Then $M'$ is unbounded (in $M$) if and only if $M'$ is not bounded in $M$.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): bounded set
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): bounded set