##  [Mapping Class Group](/mapping-class-group) 

  ##  [Mapping Class Group](https://puremath.quantumdictionary.io/mapping-class-group-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The group of isotopy classes of self‑homeomorphisms of a topological surface or manifold, with group operation induced by composition; elements are homeomorphisms considered equivalent when they differ by an isotopy.