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The Real Projective Plane
J.C. Álvarez Paiva
In this chapter we study the geometry of -dimensional projective space
with special emphasis on the projective plane. We change somewhat our
point of view and study the projective plane not only as a homogeneous
space under an action of
, but also as a space with a family of
distinguished subspaces (the projective lines) that satisfy a number
of incidence relations.
- Anything preceded by a * may be left for a second reading.
- Next to the exercises there is a two-digit number in parentheses which
describes its degree of difficulty. The simplest exercises are identified
by a (00), while the hardest -- those that could take you a week of
intensive brain work -- are identified by a (50).
Juan Carlos Alvarez