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In topology and related branches of mathematics, total-boundedness is a generalization of compactness for circumstances in which a set is not necessarily closed. A totally bounded set can be covered by finitely many subsets of every fixed “size” (where the meaning of “size” depends on the structure of the ambient space).
In topological groups, In metric spaces & Examples and elementary properties
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| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Totally bounded space | related to In metric spaces | Equivalently | 0.60 | section |
| Totally bounded space | related to In metric spaces | This | 0.60 | section |
| Totally bounded space | related to In metric spaces | Cauchy | 0.60 | section |
| Totally bounded space | related to In metric spaces | Each | 0.60 | section |
| Totally bounded space | related to In metric spaces | The | 0.60 | section |
| Totally bounded space | related to In metric spaces | Euclidean | 0.60 | section |
| Totally bounded space | related to In metric spaces | For | 0.60 | section |
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