Abstract

In this paper, we discuss the Lipschitz equivalence of a class of general Sierpinski carpets in which all non-trivial connected components are line segments. We define a bijection between two link-separated sets with same type by pairing off the basic sets using the indexing by the corresponding symbol space and get a sufficient condition that two general Sierpinski carpets are Lipschitz equivalent. Several examples will be given to illustrate our idea.

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