##  [Box Topology](/box-topology) 

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

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

On a product ∏_{i∈I} X_i, the box topology is the topology with basis given by all products ∏_{i∈I} U_i where each U_i⊂X_i is open (no finiteness restriction); it is typically strictly finer than the product (Tychonoff) topology on infinite products.