Usually means: No nonvanishing vector fields exist.
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We found 5 dictionaries that define the word hairy ball theorem:

General (2 matching dictionaries)
  1. hairy ball theorem: Wiktionary
  2. Hairy ball theorem: Wikipedia, the Free Encyclopedia

Computing (1 matching dictionary)
  1. Hairy ball theorem: Encyclopedia

Science (2 matching dictionaries)
  1. Hairy Ball Theorem: Eric Weisstein's World of Mathematics
  2. hairy ball theorem: PlanetMath Encyclopedia

Definitions from Wiktionary (hairy ball theorem)

noun:  (mathematics) A theorem stating that there is no nonvanishing continuous tangent vector field on the sphere; colloquially, that "you can't comb a hairy ball flat without creating a cowlick".

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