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Definitions and Synonyms of topological space | Another word for topological space | What is topological space?

Definition 1: (mathematics) any set of points that satisfy a set of postulates of some kind - [noun denoting group]

Samples where topological space or its synonyms are used according to this definition

  • assume that the topological space is finite dimensional

Synonyms for topological space in the sense of this definition

(topological space is a kind of ...) the unlimited expanse in which everything is located

"they tested his ability to locate objects in space" "the boundless regions of the infinite"

(topological space is a kind of ...) (mathematics) an abstract collection of numbers or symbols

"the set of prime numbers is infinite"

(... is a kind of topological space ) a space that is contained within another space

(... is a kind of topological space ) a space that contains no points; and empty space

(... is a kind of topological space ) a set of points such as those of a closed surface or an analogue in three or more dimensions

(... is a kind of topological 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

(topological space belongs to category ...) a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

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