非紧度量空间上的膨胀性  

Expansive Behaviors in the Non-Compact Metric Space

作　　者：沈荣鑫[1] 

机构地区：[1]泰州师范高等专科学校数学系,江苏泰州225300

出　　处：《苏州科技学院学报（自然科学版）》2004年第3期31-33,53,共4页Journal of Suzhou University of Science and Technology （Natural Science Edition）

摘　　要：讨论了非紧度量空间上的膨胀性,给出了具有性质L的度量空间上映射膨胀、正膨胀以及非负膨胀的生成元刻画定义,并证明了在具有性质L的度量空间上,映射f膨胀、正膨胀、非负膨胀相应地等价于fk膨胀、正膨胀、非负膨胀。In this paper,we discuss expansive behaviors in the non-compact metric space and give the generator characterizing definitions of the mapped expansion,positive expansion and non-negative expansion of the metric space with Property L. And it is also proved that the mapped f-expansion,positive expansion and non-negative expansion are correspondingly equal to f k-expansion,positive expansion and non-negative expansion in metric spaces with Property L.

关 键 词：紧度量空间 等价 刻画 生成元 映射 证明 膨胀 性质 定义 

分 类 号：O189.11[理学—数学] G633[理学—基础数学]