 ##  [Total Disconnectedness](/total-disconnectedness) 

  ##  [Total Disconnectedness](https://puremath.quantumdictionary.io/total-disconnectedness-0) 

  
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**Pure Mathematics Dictionary**

 
Definition

A topological space is totally disconnected if all of its connected components are singletons; equivalently, the space has no nontrivial connected subsets containing more than one point.