topological space


Definition of topological space

: a set with a collection of subsets satisfying the conditions that both the empty set and the set itself belong to the collection, the union of any number of the subsets is also an element of the collection, and the intersection of any finite number of the subsets is an element of the collection

First Known Use of topological space

1926, in the meaning defined above

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The first known use of topological space was in 1926

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Cite this Entry

“Topological space.” Dictionary, Merriam-Webster, Accessed 24 Feb. 2021.

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