| NOUN | group | metric space | a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality |
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| Meaning | A set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality. | |
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| Narrower | Euclidean space | A space in which Euclid's axioms and definitions apply |
| Hilbert space | A metric space that is linear and complete and (usually) infinite-dimensional | |
| Broader | mathematical space, topological space | (mathematics) any set of points that satisfy a set of postulates of some kind |
| Spanish | espacio métrico | |
| Catalan | espai mètric | |
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