拓扑学与几何学的桥梁  

The Bridge of Topology and Geometry

作　　者：沈晓芳[1] 

机构地区：[1]石河子大学师范学院数学系,新疆石河子832003

出　　处：《伊犁师范学院学报（自然科学版）》2011年第2期22-24,共3页Journal of Yili Normal University：Natural Science Edition

基　　金：新疆生产建设兵团普通高中课程改革规划课题(BTGKY08018)

摘　　要：将几何学中正交变换群的变换条件放宽得仿射变换群,再将变换条件放宽得射影变换群,继续将变换条件放宽得拓扑变换,从而将拓扑学与几何学连接起来.This paper relaxde the geometry of the orthogonal transformation group of the transformation conditions,the availability of affine transformation group,and then relaxed to transform the conditions can get projective transformation group,and continue relaxed to transform the conditions can get topological transformation.Then topology and geometry can be connected.

关 键 词：等价类 变换群 拓扑学 

分 类 号：O18[理学—数学]