Mathematical Sciences: Derivable and Covered Nets

数学科学：可导网络和覆盖网络

• 批准号: 8800843
• 负责人: Norman Johnson
• 金额: $ 2.1万
• 依托单位: University of Iowa
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-06-01 至 1989-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8800843&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Derivable; Covered; Nets

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.

诺曼约翰逊将继续他的研究在有限的 射影几何这涉及到对抽象平面的研究 包括许多点和连接它们的线。的 这项研究的动机是希望建立一个桥梁， 经典射影几何与综合关联 几何 研究的对象是平行线类的集合 叫网。约翰逊将研究覆盖网的结构。在 为了做到这一点，这些网将被描述为对象， 某些投影几何，这些反过来将被用来 确定网络的结构。