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Heine-Borel theorem

[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.
Also called Borel-Lebesque theorem.
Origin
named after Eduard Heine (1821-81), German mathematician and Émile Borel (1871-1956), French mathematician
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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