cookie-cutter sets

In this paper we introduce the definitions of cookie-cutter sets and sub-cookie-cutter sets, describe the generation of sub-cookie-cutter sets and give a method to calculate the Hausdorff dimension of a class of sub-cookie-cutter sets.
本文介绍了切饼集及子切饼集的定义,阐明了子切饼集是如何产生的,并给出了一个计算某一类子切饼集Hausdorff维数的方法。