topological space vs metric space

topological space and metric space both are nouns.

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

As nouns, metric space is a hyponym of topological space; that is, metric space 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
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

Other hyponyms of topological space include subspace, null space, manifold, wedge sum.

topological space (noun)	metric space (noun)
(mathematics) any set of points that satisfy a set of postulates of some kind	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 vs metric space

topological space and metric space both are nouns.

Words related to "topological space"

Words related to "metric space"