locally finite family of sets

locally finite family of sets

[¦lō·kə·lē ¦fī‚nīt ′fam·lē əv ′sets]

(mathematics)

A family of subsets of a topological space such that each point of the topological space has a neighborhood that intersects only a finite number of these subsets.

McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.