Linked from
The 16 pages that link to Projective space, each with the reason it gives.
Affine spaceRelated: Projective geometry forgets parallelism that affine spaces retain.
Quotient spaceBroader topic: Its points identify vectors that differ by a nonzero scaling.
Equivalence classRelated: Nonzero vectors on the same line are identified as one equivalence class.
Quotient setBroader topic: It is formed by identifying nonzero vectors that lie on the same line.
Finite geometryNarrower topic: Its finite-field versions are central examples of finite geometry.