##  [Point-Set Topology](/point-set-topology) 

  ##  [Point-Set Topology](https://puremath.quantumdictionary.io/point-set-topology-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The foundational theory of topological spaces focused on open sets, continuity, convergence, separation axioms, countability, and the basic point-set properties that underlie geometric and analytic constructions.