Projective Spaces - part II

Summary. Distinction is made among several types of many dimensional projective spaces - at least three dimensional and exactly threedimensional projective structures. We prove that analytical projective spaces defined over appropiate real linear spaces may serve as examples of the introduced classes of projective spaces. Corresponding subclasses of Fano projective structures are distinguished. Note that in projective geometry the axiom which assures that the dimension is not greater than three can be formulated as the statement: there exists a plane which intersects every line.