manifold vs topological space
topological space vs manifoldmanifold and topological space both are nouns.
manifold is an adjective but topological space is not an adjective.
manifold is a verb but topological space is not a verb.
| Word | Noun | Adjective | Verb | Adverb |
|---|---|---|---|---|
| manifold | Yes | Yes | Yes | No |
| topological space | Yes | No | No | No |
As nouns,
topological space is a hypernym of
manifold; that is, topological space is a
word with a broader meaning than manifold:
- manifold: a set of points such as those of a closed surface or an analogue in three or more dimensions
- topological space: (mathematics) any set of points that satisfy a set of postulates of some kind
Other hypernyms of manifold include
mathematical space.
| manifold (noun) | topological space (noun) |
|---|---|
| a pipe that has several lateral outlets to or from other pipes | (mathematics) any set of points that satisfy a set of postulates of some kind |
| a set of points such as those of a closed surface or an analogue in three or more dimensions | |
| a lightweight paper used with carbon paper to make multiple copies |
| manifold (adjective) | topological space (adjective) |
|---|---|
| many and varied; having many features or forms |
| manifold (verb) | topological space (verb) |
|---|---|
| make multiple copies of | |
| combine or increase by multiplication |
Words related to "manifold"
Words related to "topological space"
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