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