topological space

American  

noun

Mathematics.

1. a set with a collection of subsets or open sets satisfying the properties that the union of open sets is an open set, the intersection of two open sets is an open set, and the given set and the empty set are open sets.

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topological space British  

noun

1. maths a set S with an associated family of subsets τ that is closed under set union and finite intersection. S and the empty set are members of τ

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Etymology

Origin of topological space

First recorded in 1945–50

Example Sentences

“Dante has invented a new topological space, the 3-sphere,” or hypersphere, mathematician Mark Peterson noted in an analysis.

From Washington Post • May 24, 2019