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Definition: Bounded Subset of a Metric Space
A subset \(T\subseteq M\) of a metric space \((M,d)\) is called bounded, if there is a real number \(b\) with
\[d\left(x,y\right)\leq b\]
for all \(x,y\in T\).
Mentioned in:
Definitions: 1
Proofs: 2 3 4 5
Propositions: 6
Theorems: 7
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References
Adapted from CC BY-SA 3.0 Sources:
- Brenner, Prof. Dr. rer. nat., Holger: Various courses at the University of Osnabrück
