##  [Metric Geometry](/metric-geometry) 

  ##  [Metric Geometry](https://puremath.quantumdictionary.io/metric-geometry-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The branch of geometry concerned with metric spaces and global geometric properties determined by distance functions, including length spaces, geodesic and hyperbolic spaces, curvature bounds in the metric sense, and notions of convergence such as Gromov–Hausdorff distance.