Point finite collection

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In mathematics, a collection \mathcal{U} of subsets of a topological space X is said to be point finite or a point finite collection if every point of X lies in only finitely many members of \mathcal{U}.

Compare this to the stronger property of being locally finite.

Point-finiteness is used in the definition of a metacompact space.

This article incorporates material from point finite on PlanetMath, which is licensed under the GFDL.