Projective space

Projectivization

A projectivization is one way of creating a projective space. Let be a vector space over . The projectivization is the orbit space of scalar multiplication by . #m/def/geo The following notations are used

Projective points are thus equivalence classes of nonzero vectors related by scaling, and may be denoted by Homogenous coördinates. If is a topological vector space, then is itself a topological space. If is a Galois field, the projective space has a Galois geometry.

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