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metric space vs mathematical space

mathematical space vs metric space

metric space and mathematical space both are nouns.

Word NounAdjectiveVerbAdverb
metric space Yes No No No
mathematical space Yes No No No
As nouns, mathematical space is a hypernym of metric space; that is, mathematical space is a word with a broader meaning than metric space:
  • 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
  • mathematical space: (mathematics) any set of points that satisfy a set of postulates of some kind
Other hypernyms of metric space include topological space.
metric space (noun) mathematical space (noun)
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 (mathematics) any set of points that satisfy a set of postulates of some kind
Difference between metric space and mathematical space

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