Lipschitz equivalence of generalized {1,3,5}-{1,4,5} self-similar sets

来源 :中国科学A辑（英文版） | 被引量 : 0次 | 上传用户：thonary09

【摘要】

：

This paper investigates the Lipschitz equivalence of generalized {1,3,5}-{1,4,5} self-similar sets D = (r1D) ∪ (r2D + (1 + r1 - r2 - r3)/2) ∪ (r3D + 1 - r3) a

【作者】

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Li-feng XI Huo-jun RUAN

【机构】

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Institute of Mathematics,Department of Mathematics

【出处】

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中国科学A辑（英文版）

【发表日期】

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2004年期

【关键词】

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This paper investigates the Lipschitz equivalence of generalized {1,3,5}-{1,4,5} self-similar sets D = (r1D) ∪ (r2D + (1 + r1 - r2 - r3)/2) ∪ (r3D + 1 - r3) and E = (r1E) ∪ (r2E + 1 - r2 -r3) ∪ (r3E + 1 - r3),and proves that D and E areLipschitz equivalent if and only if there are positive integers m and n such that rm1= rn3.

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Lipschitz equivalence of generalized {1,3,5}-{1,4,5} self-similar sets

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