Subbase
Collection of subsets that generate a topology / From Wikipedia, the free encyclopedia
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This article is about an object in mathematical topology. For the term in highway engineering, see Subbase (pavement). For the frequency range, see Sub-bass.
In topology, a subbase (or subbasis, prebase, prebasis) for a topological space with topology is a subcollection of that generates in the sense that is the smallest topology containing as open sets. A slightly different definition is used by some authors, and there are other useful equivalent formulations of the definition; these are discussed below.