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