单位圆周上同胚映射的逆扩张  

The Inverse Extension of the Homeomorphism Between Unit Circles

作　　者：李淑龙[1] 刘学文 

机构地区：[1]南方医科大学生物医学工程学院,广东广州510515 [2]深圳西乡中学新高中部,广东深圳518102

出　　处：《中山大学学报（自然科学版）》2012年第3期52-54,59,共4页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：国家自然科学基金面上资助项目(10871211)

摘　　要：在Douady-Earle扩张基础上定义了单位圆周之间同胚映射的新共形自然扩张即逆扩张,并用一个反例证明了逆扩张不同于Douady-Earle扩张。Based on Douady-Earle extension of homeomorphism from S^1 to S^1 , a new extension map between unit discs called inverse extension is defined, which is conformal natural. And the inverse extension is shown not always to be equal to Douady-Earle extension by an example.

关 键 词：Douady-Earle扩张 逆扩张 拟共形映射 

分 类 号：O174.5[理学—数学]