Heine-Borel theorem

== English == === Etymology === Named after the German mathematician Eduard Heine (1821–1881) and the French mathematician Émile Borel (1871–1956). === Proper noun === Heine-Borel theorem (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.