Word.ws English Dictionary

Heine-Borel theorem

Heine-Borel theorem proper noun: 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.

Proper noun

Heine-Borel theorem

  1. 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.

Origin of Heine-Borel theorem

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

Questions about Heine-Borel theorem

What does Heine-Borel theorem mean?
Heine-Borel theorem means 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.
What part of speech is Heine-Borel theorem?
Heine-Borel theorem is a proper noun.

Words near Heine-Borel theorem in the dictionary

  1. Heindel
  2. Heindels
  3. Heindl
  4. Heindls
  5. Heine
  6. Heine-Borel theorem
  7. Heineck
  8. Heinecke
  9. Heineckes
  10. Heinecks
  11. Heineken

Source and license

Adapted from Wiktionary: Heine-Borel theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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