##  [Accessible Point](/accessible-point) 

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

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A boundary point x of a domain D (typically an open connected subset of a metric or topological space) for which there exists a continuous injective map γ : [0,1] → D with γ(0) in D and γ(1) = x, i.e. x is the endpoint in the closure of D of a simple arc lying entirely in D.