# Basis for a Topology

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A basis (or base) for a topology on a set is a collection of open sets (the basis elements) such that every open set in is the union or finite intersection of members of .

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Contributed by: Izidor Hafner (July 2016)

Open content licensed under CC BY-NC-SA

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Reference

[1] E. J. Borowski and J. M. Borwein, *Collins Dictionary of Mathematics*, HarperCollins Publishers, 1989 p. 46.

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