metric space vs topological space
topological space vs metric spacemetric space and topological space both are nouns.
| Word | Noun | Adjective | Verb | Adverb |
|---|---|---|---|---|
| metric space | Yes | No | No | No |
| topological space | Yes | No | No | No |
As nouns,
topological space is a hypernym of
metric space; that is, topological 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
- topological space: (mathematics) any set of points that satisfy a set of postulates of some kind
Other hypernyms of metric space include
mathematical space.
| metric space (noun) | topological 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 |
Words related to "metric space"
Words related to "topological space"
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