##  [Eilenberg–MacLane Space](/eilenberg-maclane-space) 

  ##  [Eilenberg–MacLane Space](https://puremath.quantumdictionary.io/eilenberg-maclane-space-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A topological (often CW) space K(G,n) whose only nontrivial homotopy group is πn(K(G,n)) ≅ G and πk = 0 for k ≠ n; it serves as a canonical space representing cohomology with coefficients in G (for n ≥ 1).