Heine–Borel theorem

English

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Heine–Borel theorem

Etymology

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

Noun

Heine–Borel theorem (uncountable)

(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.

Last modified on 13 July 2012, at 03:47