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In mathematics, a metric space is a set together with a notion of distance between its points. The distance is measured by a function called a metric or distance function. Metric spaces are a general setting for studying many of the concepts of mathematical analysis and geometry.
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metric displaystyle space distance spaces function set points example one two mathbb defined every topological called topology finite continuous hausdorff
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Metric space | is a | set together with a notion of distance between its points | 0.90 | text |
| Metric space | is a | ordered pair | 0.90 | text |
| Metric space | is a | metric space which admits a geodesic between any two of its points | 0.90 | text |
| groups or rings | instance of | Functions between metric spacesUnlike in the case of topological spaces or algebraic structures | 0.80 | text |
| there is no single | instance of | Functions between metric spacesUnlike in the case of topological spaces or algebraic structures | 0.80 | text |
| the Sierpiński gasket can be equipped with the α-dimensional Hausdorff measure where α is the Hausdorff dimension | instance of | Certain fractal metric spaces | 0.80 | text |
| pseudosemimetrics or pseudometrics | instance of | Sometimes it is used to refer to other generalizations of metrics | 0.80 | text |
| Metric space | related to Basic notions | Properties | 0.60 | section |
| Metric space | related to Basic notions | Every | 0.60 | section |
| Metric space | related to Bounded and totally bounded spaces | The | 0.60 | section |
| Metric space | related to Bounded and totally bounded spaces | Every | 0.60 | section |
| Metric space | related to Bounded and totally bounded spaces | To | 0.60 | section |
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