Geometry MOC

Projective space

An -dimensional projective space over a field refers to an extension of -dimensional affine space such that parallel lines intersect at infinity. This notion is axiomatized by the abstract projective space. One way of constructing this is a Projectivization of a vector space, which is the space of 1-dimensional subspaces (i.e. lines intersecting the origin) of the vector space .

Particular projective spaces

• Particular fields
  • Real projective space
  • Complex projective space
• Finite projective space

#state/tidy | #lang/en | #SemBr