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Subbasis
A collection of subsets of a topological space that is contained in a basis of the topology and can be completed to a basis when adding all finite intersections of the subsets.
A subbasis for the Euclidean topology of the real line is formed by all intervals
A subbasis for the discrete topology of the real line is formed by all subsets of
A subbasis for the Zariski topology of the affine space
This entry contributed by Margherita Barile
CITE THIS AS:Barile, Margherita. "Subbasis." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. //mathworld.wolfram.com/Subbasis.html