Projectivization

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

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