 ##  [Cone](/cone) 

  ##  [Cone](https://puremath.quantumdictionary.io/cone-0) 

  

 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The cone CX on a topological space X is the quotient of X×[0,1] obtained by collapsing X×{0} to a single point, called the apex; the subspace X×{1} is the base and the cone contracts X to the apex along radial lines.