 ##  [Kuratowski Closure-Complement Algebra](/index.php/kuratowski-closure-complement-algebra) 

  ##  [Kuratowski Closure-Complement Algebra](https://puremath.quantumdictionary.io/kuratowski-closure-complement-algebra-0) 

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The algebraic structure generated by iterating the set operations of topological closure and set-complement on subsets of a topological space; it records all distinct sets obtainable from a given subset by successive applications of closure and complement.