Heine-Borel theorem

[ hahy-nuh-baw-rel, -buh- ]
/ ˈhaɪ nə bɔˈrɛl, -bə- /

noun Mathematics.

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.

QUIZZES

HEED THE VOX POPULI, AND TAKE THIS WORD OF THE DAY QUIZ!

Test your memory on these verbal firecrackers from the week of June 29 to July 5!
Question 1 of 7
anchorite
a granular metamorphic rock.
a person who has retired to a solitary place for a life of religious seclusion.
a hobble or fetter for a horse or other animal.
TAKE THE QUIZ TO FIND OUT
Also called Borel-Lebesque theorem.

Origin of Heine-Borel theorem

named after Eduard Heine (1821–81), German mathematician and Émile Borel (1871–1956), French mathematician
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2020