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topological space vs space

space vs topological space

topological space and space both are nouns.

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

Word NounAdjectiveVerbAdverb
topological space Yes No No No
space Yes No Yes No
As nouns, space is a hypernym of topological space; that is, space is a word with a broader meaning than topological space:
  • topological space: (mathematics) any set of points that satisfy a set of postulates of some kind
  • space: the unlimited expanse in which everything is located
Other hypernyms of topological space include infinite, set.
topological space (noun) space (noun)
(mathematics) any set of points that satisfy a set of postulates of some kind the unlimited expanse in which everything is located
(printing) a block of type without a raised letter; used for spacing between words or sentences
a blank character used to separate successive words in writing or printing
a blank area
one of the areas between or below or above the lines of a musical staff
an area reserved for some particular purpose
any location outside the Earth's atmosphere
an empty area (usually bounded in some way between things)
the interval between two times
topological space (verb) space (verb)
place at intervals
Difference between topological space and space

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