topological space vs manifold

topological space and manifold both are nouns.

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

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

Word	Noun	Adjective	Verb	Adverb
topological space	Yes	No	No	No
manifold	Yes	Yes	Yes	No

As nouns, manifold is a hyponym of topological space; that is, manifold is a word with a more specific, narrower meaning than topological space:

topological 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 topological space include subspace, null space, metric space, wedge sum.

topological 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

topological space (adjective)	manifold (adjective)
	many and varied; having many features or forms

topological space (verb)	manifold (verb)
	make multiple copies of
	combine or increase by multiplication

topological space vs manifold

topological space and manifold both are nouns.

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

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

Words related to "topological space"

Words related to "manifold"