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代数结构与几何基础Ⅲ——射影几何的公理体系
Algebraic Structure and Foundation of Geometry Ⅲ Axioms of projective geometry
【摘要】 在本文中我们将给出只保留结合公理的几何,并证明:这种几何.同构于域上的射影几何,若添加顺序公理,则得到同构于有序域上的射影几何的几何.
【Abstract】 In this paper, we give a geometry which satisfies only the axioms of incidence, and prove that this geometry is omorphic to the projective geometry over a field. If the above geometry satisfies also the axioms of order,then we obtain a geometry which is isomorphic to projective geometry over a ordered field.
- 【文献出处】 首都师范大学学报(自然科学版) ,Journal of Capital Normal University , 编辑部邮箱 ,1997年01期
- 【分类号】O185
- 【下载频次】151