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About: Saturated set     Goto   Sponge   NotDistinct   Permalink

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In mathematics, particularly in the subfields of set theory and topology, a set is said to be saturated with respect to a function if is a subset of 's domain and if whenever sends two points and to the same value then belongs to (that is, if then ). Said more succinctly, the set is called saturated if In topology, a subset of a topological space is saturated if it is equal to an intersection of open subsets of In a T1 space every set is saturated.