Quasi-Lipschitz equivalence of Ahlfors–David regular sets

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Published 11 February 2011 • 2011 IOP Publishing Ltd & London Mathematical Society
, , Citation Qin Wang and Lifeng Xi 2011 Nonlinearity 24 941 DOI 10.1088/0951-7715/24/3/011

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1 School of Computer Science and Information Technology, Zhejiang Wanli University, Ningbo, Zhejiang, 315100, People's Republic of China

2 Institute of Mathematics, Zhejiang Wanli University, Ningbo, Zhejiang, 315100, People's Republic of China

Dates

  1. Received 18 March 2010
  2. Published

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0951-7715/24/3/941

Abstract

This paper proves that two compact and uniformly disconnected Ahlfors–David regular sets are quasi-Lipschitz equivalent if and only if they have the same Hausdorff dimension.

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10.1088/0951-7715/24/3/011