| 下自相似集的若干拓扑性质 |
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| 引用本文： | 王玉霞.下自相似集的若干拓扑性质[J].甘肃联合大学学报(自然科学版),2007,21(5):17-18. |
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| 作者姓名： | 王玉霞 |
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| 作者单位： | 嘉应学院,效学系,广东,梅州,514015 |
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| 摘 要： | 文2]给出了下自相似集的定义及若干例子,并得到了下自相似集的Hausdorff维效及盒维数公式;文3]在欧氏空间中讨论了下自相似集的拓扑范畴性质.本文在2]3]的基础上,在一般的度量空间中讨论了下自相似集的拓扑性质,得到了自相似集的若干结果.
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| 关 键 词： | 聚点 压缩映射 下自相似集 |
| 文章编号： | 1672-691X（2007）05-0017-02 |
| 修稿时间： | 2007-05-22 |
Some Topological Properties of Sub-self-similar Sets |
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| WANG Yu-xia.Some Topological Properties of Sub-self-similar Sets[J].Journal of Gansu Lianhe University :Natural Sciences,2007,21(5):17-18. |
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| Authors: | WANG Yu-xia |
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| Institution: | Department of Mathematics,Jiaying University,Meizhou 514015,China |
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| Abstract: | In paper2],the definition of sub-self-similar sets and various examples are introduced and formula for their Hausdorff and box dimensions are obtained.paper3] discussses topological categorical properties on Euclidean space.In this paper,some topological properties of sub-self-similar sets are discussed on the basis of paper 2] and 3] and some results are obtained. |
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| Keywords: | cluster point sub-self-similar set contractive mapping |
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