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Heine-Borel theorem
[ hahy-nuh-baw-rel, -buh- ]
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.
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Word History and Origins
Origin of Heine-Borel theorem1
Named after Eduard Heine (1821–81), German mathematician and Émile Borel (1871–1956), French mathematician
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Example Sentences
Examples have not been reviewed.
That comes up in, for example, the proof of the Heine-Borel theorem.
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