A family of subsets of a topological space such that every point has a neighborhood that intersects only one of them.
Discrete Family
See also
Sigma-Discrete FamilyThis entry contributed by Margherita Barile
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Barile, Margherita. "Discrete Family." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/DiscreteFamily.html