【摘要】 本文研究了填充维数与上盒维数的关系.利用Cantor-Bendixson定理的方法,得到了由上盒维数给出的填充维数的等价定义.并证明了齐次Moran集对上盒维数和填充维数的连续性.更多还原

【Abstract】 In this paper, we discuss the relation between packing dimension and upper box dimension. By applying a technique of Cantor-Bendixson Theorem, we give another equivarent definition for packing dimension expressed by upper box dimension. And we prove the continuity of upper box dimension and packing dimension for homogeneous Moran set.更多还原