##  [Gromov Boundary](/gromov-boundary) 

  ##  [Gromov Boundary](https://puremath.quantumdictionary.io/gromov-boundary-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The set of equivalence classes of geodesic rays in a Gromov hyperbolic metric space, where two rays are equivalent if they remain a bounded distance apart; it encodes the asymptotic directions and coarse geometry at infinity of the space.