Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 42, 2017, 585-591

LIPSCHITZ EQUIVALENCE OF A CLASS OF SELF-SIMILAR SETS

Xiu Chen, Kan Jiang and Wenxia Li

East China Normal University, Shanghai Key Laboratory of PMMP, Department of Mathematics
Shanghai 200241, P.R. China; chenxiu1216 'at' 163.com

Utrecht University, Fac Wiskunde en informatica and MRI, Department of Mathematics
Budapestlaan 6, P.O. Box 80.000, 3508 TA Utrecht, The Netherlands; K.Jiang1 'at' uu.nl

East China Normal University, Shanghai Key Laboratory of PMMP, Department of Mathematics
Shanghai 200241, P.R. China; wxli 'at' math.ecnu.edu.cn

Abstract. We consider a class of homogeneous self-similar sets with complete overlaps and give a sufficient condition for the Lipschitz equivalence between members in this class.

2010 Mathematics Subject Classification: Primary 28A80, 28A78.

Key words: Complete overlap, homogeneous self-similar sets, Lipschitz equivalence.

Reference to this article: : Lipschitz equivalence of a class of self-similar sets. Ann. Acad. Sci. Fenn. Math. 42 (2017), 585-591.

Full document as PDF file

https://doi.org/10.5186/aasfm.2017.4238