2015年10月25日
摘要: Given $0<s<u<v<1$ and $s<t<v$, one can construct a Cantor set $E\subset [0,1]$ such that $\dim_H E=s, \dim_P E=t, \underline{\dim}_B E=u$ and $\overli... 阅读全文
posted @ 2015-10-25 22:37 Jinjun 阅读(156) 评论(0) 推荐(0) 编辑
摘要: Let $X=\{0, 1,1/2,\cdots, 1/n\cdots\}.$ Then, we have $\dim_X E=\dim_P X=0, \dim_B X=1/2$ and $\dim_A X=1.$Now we will prove that $\dim_AX=1.$Recall t... 阅读全文
posted @ 2015-10-25 19:48 Jinjun 阅读(104) 评论(0) 推荐(0) 编辑