期刊论文

中文

数学年刊A辑(中文版)

1000-8314

2013

34

6

643-652

本文受到国家自然科学基金（No.11271148）,中央高校基本科研业务费（No.CCNU11A01028）和湖北省教育厅科学研究计划项目（No.B2013221）的资助.

本校为第一机构

提要设紧集U满足一个不交并递推式,U = (rU + Θ)∪U_1.证明了若U_1与一个满足强分离条件的自相似集T Lipschitz等价,则U与T也是Lipschitz等价.并举例说明定理在自相似并集间的Lipschitz等价中的应用.

Let U be a compact set satisfying a recurrence equation U -- （rU ＋ O） U u1, which is a disjoint union. The author proves that U is Lipschitz equivalent to a self-similar set T with the strong separated condition if U1 is Lipschitz equivalent to T. Some examples are provided to illuminate the application of the theory in the Lipschitz equivalence a...