##  [Simplicial Approximation](/index.php/simplicial-approximation) 

  ##  [Simplicial Approximation](https://puremath.quantumdictionary.io/simplicial-approximation-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A technique in algebraic and geometric topology that replaces continuous maps between triangulable spaces by simplicial (piecewise-linear on simplices) maps defined on suitably refined triangulations, allowing combinatorial study of homotopy, degree, and other topological invariants.