#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
supertype: #topological_space__topologicalspace__space (mathematics) any set of points that satisfy a set of postulates of some kind; "assume the vector space is finite dimensional"
subtype: #Euclidean_space a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional
subtype: #Hilbert_space a metric space that is linear and complete and (usually) infinite-dimensional
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