知识与财富的链接
固定r∈(0,1)及整数N≥2,设E和E'为由N个形如S(x)=±rx+b的压缩映射所生成的自相似集.设开集条件对于E及E'成立,并且所对应的开集为开区间,证明了E和E'Lipschitz等价.
Fix r∈(0,1) and an integer N≥2.Let E and E’ be self-similar sets generated by N contraction mappings of the form S(x) =±rx + b.Suppose that open set conditions hold for E and E’,where the corresponding open sets are open intervals,then E and E’ are Lipschitz equivalent.