What is "projectivization"

n. (context mathematics English) The process that associates a projective space with a vector space

In mathematics, projectivization is a procedure which associates with a non-zero vector space V a projective space ${\Bbb P}(V)$, whose elements are one-dimensional subspaces of V. More generally, any subset S of V closed under scalar multiplication defines a subset of ${\Bbb P}(V)$ formed by the lines contained in S and is called the projectivization of S.