##  [Weak Topology](/weak-topology) 

  ##  [Weak Topology](https://puremath.quantumdictionary.io/weak-topology-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A topology on a set X determined as the coarsest (weakest) topology that makes a specified family of maps {f_i:X→Y_i} continuous; equivalently the initial topology with respect to that family, often characterized by convergence being tested on the images under the maps.