##  [Brown Representability Theorem](/brown-representability-theorem) 

  ##  [Brown Representability Theorem](https://puremath.quantumdictionary.io/brown-representability-theorem-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A theorem giving necessary and sufficient conditions for a contravariant homotopy functor on suitable homotopy categories (classically pointed CW complexes) to be representable by a space or spectrum, i.e., naturally isomorphic to homotopy classes of maps into a classifying object.