##  [Inaccessible Point](/inaccessible-point) 

  ##  [Inaccessible Point](https://puremath.quantumdictionary.io/inaccessible-point-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A boundary point x of a domain D that is not the endpoint of any continuous injective map γ : [0,1] → D with γ(1) = x; equivalently, there is no simple arc contained in D that approaches x, so x cannot be reached from the interior by a path without leaving the domain.