 ##  [Comparison Geometry](/comparison-geometry) 

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

  
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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

The branch of Riemannian and metric geometry that deduces geometric and topological properties of a space from upper or lower curvature bounds by comparing it to model spaces of constant sectional curvature.