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mathematical space vs manifold

manifold vs mathematical space

mathematical space and manifold both are nouns.

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

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

Word NounAdjectiveVerbAdverb
mathematical space Yes No No No
manifold Yes Yes Yes No
As nouns, manifold is a hyponym of mathematical space; that is, manifold is a word with a more specific, narrower meaning than mathematical space:
  • mathematical space: (mathematics) any set of points that satisfy a set of postulates of some kind
  • manifold: a set of points such as those of a closed surface or an analogue in three or more dimensions
Other hyponyms of mathematical space include subspace, null space, metric space, wedge sum.
mathematical space (noun) manifold (noun)
(mathematics) any set of points that satisfy a set of postulates of some kind a pipe that has several lateral outlets to or from other pipes
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
mathematical space (adjective) manifold (adjective)
many and varied; having many features or forms
mathematical space (verb) manifold (verb)
make multiple copies of
combine or increase by multiplication
Difference between mathematical space and manifold

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