##  [Tychonoff Theorem](/tychonoff-theorem) 

  ##  [Tychonoff Theorem](https://puremath.quantumdictionary.io/tychonoff-theorem-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The statement that any product (with the product topology) of compact topological spaces is compact; in ZF set theory this theorem is equivalent to the Axiom of Choice.