##  [Suspension](/suspension) 

  ##  [Suspension](https://puremath.quantumdictionary.io/suspension-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The suspension ΣX of a topological space X is the quotient of X×[−1,1] obtained by collapsing X×{−1} to a single point (the south pole) and X×{1} to a single point (the north pole), producing a new space whose homotopy-theoretic dimension is one greater than X.