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 |
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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 |
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Spanish | espacio métrico |
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Catalan | espai mètric |
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