Dictionary  Hei'ne-Bo•rel' the"oremPronunciation: (hī'nu-bô-rel', -bu-), [key] Math. the theorem that in a metric space every covering consisting of open sets that covers a closed and compact set has a finite collection of subsets that covers the given set. Also called Borel-Lebesque theorem. Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.
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