##  [Path-Connectedness](/path-connectedness) 

  ##  [Path-Connectedness](https://puremath.quantumdictionary.io/path-connectedness-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A property of a topological space X meaning every pair of points x,y in X can be joined by a continuous map γ:[0,1]→X with γ(0)=x and γ(1)=y; often called path-connected or arcwise connected.