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manifold vs mathematical space

mathematical space vs manifold

manifold and mathematical space both are nouns.

manifold is an adjective but mathematical space is not an adjective.

manifold is a verb but mathematical space is not a verb.

Word NounAdjectiveVerbAdverb
manifold Yes Yes Yes No
mathematical space Yes No No No
As nouns, mathematical space is a hypernym of manifold; that is, mathematical 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
  • mathematical space: (mathematics) any set of points that satisfy a set of postulates of some kind
Other hypernyms of manifold include topological space.
manifold (noun) mathematical 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) mathematical space (adjective)
many and varied; having many features or forms
manifold (verb) mathematical space (verb)
make multiple copies of
combine or increase by multiplication
Difference between manifold and mathematical space

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