Definition:Bounded Euclidean Space/Unbounded
< Definition:Bounded Euclidean Space(Redirected from Definition:Unbounded Euclidean Space)
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Definition
Let $A \subseteq \R^n$ be a subset of a Euclidean space under the usual metric.
$A$ is unbounded (in $\R^n$) if and only if $A$ is not bounded (in $\R^n$).
Also see
- Results about unbounded Euclidean spaces can be found here.
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