##  [Topological Join](/topological-join) 

  ##  [Topological Join](https://puremath.quantumdictionary.io/topological-join-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A construction that produces a new space X * Y by joining every point of X to every point of Y by a copy of an interval parameterized so that X and Y sit as subspaces at opposite ends; intuitively a cone-like union whose points are triples (x,y,t) with t in [0,1] and identifications at t=0 or 1.