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Heine-Borel theorem

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

noun

Mathematics.
  1. 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.


Etymology

Origin of Heine-Borel theorem

Named after Eduard Heine (1821–81), German mathematician and Émile Borel (1871–1956), French mathematician


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