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LIPSCHITZ EQUIVALENCE OF GENERAL SIERPINSKI CARPETS

MEIFENG DAI

Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, 212013, China

https://doi.org/10.1142/S0218348X08004022Cited by:12 (Source: Crossref)

Abstract

Recently, a lot of work has been devoted to the study of the Lipschitz equivalence between self-similar sets. Many related results on self-similar sets of the real line have been well-known under the condition that the similarity ratios equal each other. In this paper, we generalize some results to a more general setting. We mainly study the Lipschitz equivalence between two general Sierpinski carpets in ℝ².

Keywords:

References

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Vol. 16, No. 04

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History

Received 18 May 2007

Accepted 17 July 2008

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LIPSCHITZ EQUIVALENCE OF GENERAL SIERPINSKI CARPETS

Abstract

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