##  [Projective Space](/projective-space) 

  ##  [Projective Space](https://puremath.quantumdictionary.io/projective-space-0) 

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A geometric space obtained by identifying nonzero scalar multiples in a vector space: points correspond to one-dimensional linear subspaces, so lines that were parallel in an affine model meet at points at infinity; often described via homogeneous coordinates.