 ##  [Path-Connected Space](/path-connected-space) 

  ##  [Path-Connected Space](https://mathlogic.quantumdictionary.io/path-connected-space-0) 

  

 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A topological space in which any two points can be joined by a continuous path (a continuous map from the unit interval [0,1] into the space whose endpoints are the two points).