Common
Base (topology)
Collection of open sets used to define a topology
Base (topology)
In mathematics, a base (or basis; pl.: bases) for the topology τ {\displaystyle \tau } of a topological space ( X , τ ) {\displaystyle (X,\tau )} is a family B {\displaystyle {\mathcal {B}}} of open subsets of X {\displaystyle X} such that every open set of the topology is equal to the union of some sub-family of B {\displaystyle {\mathcal {B}}} . For example, the set of all open intervals in the real number line R {\displaystyle \mathbb {R} } is a basis for the Euclidean topology on R {\displaystyle \mathbb {R} } because every...
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