Mathematical Sciences: Derivable and Covered Nets

诺曼·约翰逊将继续他在有限射影几何方面的研究。这涉及到抽象平面的研究，包括有限多个点和连接它们的线。这项研究的动机是希望在经典射影几何和合成入射几何之间建立一座桥梁。研究的对象是一组平行的线，称为网。约翰逊将研究有盖网的结构。为了做到这一点，这些网将被描述为某些投影几何形状的物体，而这些物体又将被用来确定网的结构。

Norman Johnson will continue his research in finite projective geometry. This involves the study of abstract planes comprising finitely many points and lines joining them. The motivation for this research is a desire to build a bridge between classical projective geometry and synthetic incidence geometry. The objects of study are sets of parallel classes of lines called nets. Johnson will study the structure of covered nets. In order to do this these nets will be characterized as objects in certain projective geometries and these in turn will be used to determine the structure of the net.