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Math and science::Topology

Subbasis

Let X be a set. A subbasis for a topology on X is a collection of subsets of X whose union equals X.

Let S be a subbasis for a topology on X. The set of all [something of something of something] is a topolgy on X. This topology is said to be generated by the subbasis S.

It can be proved that the generated set forms a valid topology.