Usually means: Compact if and only closed.
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We found 6 dictionaries that define the word Heine-Borel theorem:

General (3 matching dictionaries)
  1. Heine-Borel theorem: Wiktionary
  2. Heine-Borel theorem: Infoplease Dictionary
  3. heine-borel theorem: Dictionary.com

Computing (1 matching dictionary)
  1. Heine-Borel theorem: Encyclopedia

Science (2 matching dictionaries)
  1. Heine-Borel Theorem: Eric Weisstein's World of Mathematics
  2. Heine-Borel theorem: PlanetMath Encyclopedia

Definitions from Wiktionary (Heine-Borel theorem)

noun:  (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.

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