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In topology and related areas of mathematics, a metrizable space is a topological space that is homeomorphic to a metric space. That is, a topological space ( X , τ ) {\displaystyle (X,\tau )} is said to be metrizable if there is a metric d : X × X → [ 0 , ∞ ) {\displaystyle d:X\times X\to [0,\infty )} such that the topology induced by d {\displaystyle…
Examples, Metrization theorems & Properties
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| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Metrizable space | is a | topological space that is homeomorphic to a metric space | 0.90 | text |
| Metrizable space | related to Properties | Metrizable | 0.60 | section |
| Metrizable space | related to Properties | For | 0.60 | section |
| Metrizable space | related to Properties | Hausdorff | 0.60 | section |
| Metrizable space | related to Properties | Tychonoff | 0.60 | section |
| Metrizable space | related to Properties | However | 0.60 | section |
| Metrizable space | related to Properties | This | 0.60 | section |
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