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| 关于自相似空间的一些讨论 | |
| 引用本文： | 张海妮. 关于自相似空间的一些讨论[J]. 价值工程, 2012, 31(1): 241-242 |
| 作者姓名： | 张海妮 |
| 作者单位： | 陕西交通职业技术学院,西安,710021 |
| 摘 要： | 本文通过定义距离空间(X,d)上的自相似空间的概念,给出相关命题的同时证E(kk=1,2,…,m)多于两个点的紧致距离空间(X,d)中的压缩Lipschitz道路,且X=km=1Ek。如果存在非扩张Lipschitz满射gi:X→[0,1(]1燮i燮m),则X为自相似空间;作为应用得知:有限个有公共交点的Lipschitz道路之并是自相似空间;平面上任一连通图与树都是自相似空间。 |
| 关 键 词： | 迭代函数系(IFS) 自相似集 自相似空间 连通 |
Some Discussion about Self-similar Space |
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| Zhang Haini. Some Discussion about Self-similar Space[J]. Value Engineering, 2012, 31(1): 241-242 | |
| Authors: | Zhang Haini |
| Affiliation: | Zhang Haini (Shaanxi College of Communication Technology,Xi’an 710021,China) |
| Abstract: | In this paper,it defines the conception of self-similar space on a distance space X,and some topics are given.It is proved that if Ek(k=1,2,…,m) are Lipschitz paths in a connected compact metric space(X,d) that has at least two points such that X=Ek,then X is a self-similar space.As applications,we conclude that every non-disjoint union of two Lipschitz paths,every planar connected graph and each tree are self-similar spaces. |
| Keywords: | IFS self-similar set self-similar space connect |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |