Annales Academię Scientiarum Fennicę
Mathematica
Volumen 34, 2009, 487-502

AHLFORS-DAVID REGULAR SETS AND BILIPSCHITZ MAPS

Pertti Mattila and Pirjo Saaranen

University of Helsinki, Department of Mathematics and Statistics
P.O. Box 68, FI-00014 University of Helsinki, Finland; pertti.mattila 'at' helsinki.fi

Haaga-Helia University of Applied Sciences
Hietakummuntie 1 A, FI-00700 Helsinki, Finland; pirjo.saaranen 'at' haaga-helia.fi

Abstract. Given two Ahlfors-David regular sets in metric spaces, we study the question whether one of them has a subset bilipschitz equivalent with the other.

2000 Mathematics Subject Classification: Primary 28A75.

Key words: Regular set, bilipschitz mapping.

Reference to this article: P. Mattila and P. Saaranen: Ahlfors-David regular sets and bilipschitz maps. Ann. Acad. Sci. Fenn. Math. 34 (2009), 487-502.

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