| 非紧度量空间上的膨胀性 |
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| 引用本文： | 沈荣鑫. 非紧度量空间上的膨胀性[J]. 苏州科技学院学报(自然科学版), 2004, 21(3): 31-33,53 |
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| 作者姓名： | 沈荣鑫 |
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| 作者单位： | 泰州师范高等专科学校,数学系,江苏,泰州,225300 |
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| 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f^k膨胀、正膨胀、非负膨胀。
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| 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 |
| 文章编号： | 1672-0687(2004)03-0031-03 |
Expansive Behaviors in the Non-Compact Metric Space |
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| SHEN Rong-xin. Expansive Behaviors in the Non-Compact Metric Space[J]. Journal of University of Science and Technology of Suzhou, 2004, 21(3): 31-33,53 |
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| Authors: | SHEN Rong-xin |
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| Abstract: | 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. |
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| Keywords: | Property L expansion weak generator |
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