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.[1][2]

  1. ^ "Projectivization of a vector space: projective geometry definition vs algebraic geometry definition". Mathematics Stack Exchange. Retrieved 2024-08-22.
  2. ^ Weisstein, Eric W. "Projectivization". mathworld.wolfram.com. Retrieved 2024-08-27.