Heine-Borel theorem

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English

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Etymology

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Named after the German mathematician Eduard Heine (1821–1881) and the French mathematician Émile Borel (1871–1956).

Proper noun

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Heine-Borel theorem

  1. (mathematical analysis) A theorem which states that for any subset S of an n-dimensional Euclidean space, S is compact if and only if it is both closed and bounded.