稠密的s维分形集(英文)

The Dense Fractal Sets with the Hausdorff Dimension

中文关键词:  Cantor型集  Hausdorff维数  Hallsdorff测度

英文关键词:Cantor-type set  Hausdorff dimension  Hausdorff measure.

中文摘要:

      对任意给定的0≤s≤1,本文构造Cantor型集E_s,使dim_H E_s=s,且E_s在[0,1]内稠密。

英文摘要:

      In this paper, for any given s (0 ≤s≤1), we construct a Cantor-type set E_s such that dim_H E_s=s and Es is dense in [0,1].