##  [Order Topology](/order-topology) 

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

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The topology on a linearly ordered set generated by basis elements that are open intervals (a,b) and rays of the form (−∞,b) and (a,∞); it ties the order structure to topological notions of openness and convergence.