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几种拓扑变换的构建及应用
引用本文:段克峰.几种拓扑变换的构建及应用[J].宁夏师范学院学报,2009,30(3):91-94,97.
作者姓名:段克峰
作者单位:陇南师范高等专科学校,数学系,甘肃,成县,742500
摘    要:在拓扑学理论下实数集的任何一个子区间实际上是一个拓扑空间.针对如何证明两个区间(拓扑空间)同胚这一问题,通过反复探究给出几种构建拓扑变换的方法,同时得到几个极为重要的拓扑变换.

关 键 词:拓扑变换  构建  应用

The Construction and Application for Several Topological Transformation
DUAN Kefeng.The Construction and Application for Several Topological Transformation[J].Journal of Ningxia Teachers College,2009,30(3):91-94,97.
Authors:DUAN Kefeng
Institution:Longnan Teachers College;Chengxian;Gansu 742500
Abstract:Under the theory of topology,any subinterval is a topological space.The essay aims to the issue of proving the homeomorphism between two intervals(topological spaces),and several methods about constructing topological transformation by repeatedly exploring are displayed,meanwhile several topological transformations are obtained.
Keywords:Topological transformation  Construction  Application  
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