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infinite vs topological space

topological space vs infinite

infinite and topological space both are nouns.

infinite is an adjective but topological space is not an adjective.

Word NounAdjectiveVerbAdverb
infinite Yes Yes No No
topological space Yes No No No
As nouns, topological space is a hyponym of infinite; that is, topological space is a word with a more specific, narrower meaning than infinite:
  • infinite: the unlimited expanse in which everything is located
  • topological space: (mathematics) any set of points that satisfy a set of postulates of some kind
Other hyponyms of infinite include absolute space, phase space, mathematical space, outer space, space.
infinite (noun) topological space (noun)
the unlimited expanse in which everything is located (mathematics) any set of points that satisfy a set of postulates of some kind
infinite (adjective) topological space (adjective)
having no limits or boundaries in time or space or extent or magnitude
(of verbs) not having tense, person, or number (as a participle or gerund or infinitive)
total and all-embracing
too numerous to be counted
Difference between infinite and topological space

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