摘要
通过构造具有有向图结构的迭代函数系通的子系通,证明了HausdorfF维数大于1的图递归弧均为Whitney集,该结果不需要有向图满足传递条件．
By constructing sub-IFS （iterated function system） of IFS with graphdirected structure, it is proved in this paper that the graph-directed arcs of Hausdorff dimension greater than 1 are Whitney sets; the result dones＇t need the transitivity condition on directed graph.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2007年第1期25-32,共8页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(10301029
10241003
10571063)
