/ Dictionary / Index L locally finite set: Meaning and Definition of Find definitions for: lo'cally fi'nite set' Pronunciation: [key] — Math. Math. a collection of sets in a topological space in which each point of the space has a neighborhood that intersects a finite number of sets of the collection. Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease. locally Euclidean space local maximum Related Content Daily Word Quiz: entomology Analogy of the Day: Today’s Analogy Spelling Bee: Today’s Spelling Bee Frequently Misspelled Words Frequently Mispronounced Words Easily Confused Words Writing & Language