由极空间导出的仿射极空间及其上的Grassmann结构
Affine polar spaces derived from polar spaces and Grassmann structures defined on them
摘要：
本文证明了Cohen和Shult意义下的仿射极空间可以从其上Grassmann结构的三种邻接关系之一恢复，这一结果直接推广了我们以前的工作，即以具有非退化自反形式的向量空间上的仿射空间为出发点到Cohen-Shult仿射极空间.
英文摘要：
We prove that an affine polar space in the meaning of Cohen and Shult can be recovered from one of the three adjacency relations on a Grassmann structure over it. The result directly generalizes the results of our previous work where we use an affine space over a vector space equipped with a nondegenerate reflexive form as a starting point to the Cohen-Shult affine polar spaces.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
