Cantor集的结构及性质  

The Structure and Properties of Cantor Set

作　　者：李尚龙[1] 杨明顺[2] 

机构地区：[1]渭南职业技术学院,渭南714000 [2]渭南师范学院数学与信息科学系,渭南714000

出　　处：《科学技术与工程》2010年第16期3921-3923,共3页Science Technology and Engineering

基　　金：陕西省教育厅基金项目(09JK432);渭南师范学院教改项目(JG200903)资助

摘　　要：应用初等方法,对Cantor集的构造过程进行了研究,揭示了该构造的本质特征在于对所给闭区间进行奇数次对称划分。去掉中央开区间后,对留存的每个闭子区间作同样处理的无限构作过程。通过构造过程,给出了它的一般化叙述及具体构作方法。Application of elementary methods,the structure of the Cantor set the process has been studied to reveal the essential features of the structure lies in the closed interval given for odd-symmetric division,eliminating the central open interval after the retention interval for each closed subspace of the same treatment as the infinite structure for the process,through the construction process is given its description and the specific structure for generalized method.

关 键 词：CANTOR集 结构 性质 

分 类 号：O152.1[理学—数学]