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.
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