Usually means: Curved, negatively curved, infinite-dimensional space.
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We found 6 dictionaries that define the word hyperbolic space:

General (2 matching dictionaries)
  1. hyperbolic space: Wiktionary
  2. Hyperbolic space: Wikipedia, the Free Encyclopedia

Computing (1 matching dictionary)
  1. hyperbolic space: Encyclopedia

Science (3 matching dictionaries)
  1. Hyperbolic Space: Eric Weisstein's World of Mathematics
  2. Hyperbolic Space: Extragalactic Astronomy
  3. hyperbolic space: PlanetMath Encyclopedia

Definitions from Wiktionary (hyperbolic space)

noun:  (mathematics) Any space exhibiting hyperbolic geometry rather than Euclidean geometry

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