论文标题
由Weyl距离或入射率定义的图形,这些图确定了矢量空间
Graphs, defined by Weyl distance or incidence, that determine a vector space
论文作者
论文摘要
我们研究了通过相交特性相互关联的矢量空间的一对子空间家族决定了矢量空间。在另一种语言中,我们研究了建筑物的建筑物的家庭通过几种涉及Weyl距离和发生率的自然各种条件来决定建筑物的范围。这些结果可以看作是投射几何学基本定理的概括和变化。
We study to which extent the family of pairs of subspaces of a vector space related to each other via intersection properties determines the vector space. In another language, we study to which extent the family of vertices of the building of a projective space related to each other via several natural respective conditions involving the Weyl distance and incidence determines the building. These results can be seen as generalizations of and variations on the Fundamental Theorem of Projective Geometry.