齐次cantor集与偏齐次cantor集的关系

The Relationship between Homogeneous Cantor Set and Partial Homogeneous Cantor Set

设μ[I,{n_k}k≥1,{c_k}k≥1]为闭区间I,正整数序列n{k_k}≥1及正实数序列{c_k}k≥1确定的Moran集,c[I,{n_k},{c_k},c*[I,{n_k},{c_k}分别为μ[I,{n_k}k≥1,{c_k}k≥1]的齐次Cantor集与偏齐次Cantor集,给出了齐次Cantor集与偏齐次Cantor集的关系及证明。

Letμ（ {nk}k≥1,{ck}k≥1 ） is a Moran set determined by the closed set I, a positive integer sequence {nk}k≥1 and a positive sequence of real numbers {ck}k≥1. c（ I, {nk}, {ck}） is a homogeneous. Cantor set of μ（ I, {nk}k≥1,{ck}k≥1 , c ＊ （I, { nk}, { ck ）） is a partial homogeneous Cantor set. This article gives the homogeneous Cantor set and the partial homogeneous Cantor set relationship and the proof.