Université Catholique de Louvain Projective Spaces- part III

Summary. In the classes of projective spaces, defined in terms of collinearity, introduced in the article [3], we distinguish the subclasses of Desarguesian projective structures. As examples of these types of objects we consider analytical projective spaces defined over suitable real linear spaces; analytical counterpart of the Desargues Axiom is proved without any assumption on the dimension of the underlying linear space. MML Identifier: ANPROJ 4. The articles [1], [4], [2], and [3] provide the notation and terminology for this paper. We adopt the following rules: V will denote a real linear space, o, p, p1