Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 37, 2012, 309-317

MÖBIUS MAPS BETWEEN ULTRAMETRIC SPACES ARE LOCAL SIMILARITIES

Zair Ibragimov

California State University, Department of Mathematics
Fullerton, CA 92831, U.S.A.; zibragimov 'at' fullerton.edu

Abstract. We show that Möbius maps between ultrametric spaces are local similarities. The proof is based on the notions of chordal ultrametric and normalization, which we introduce in this paper.

2010 Mathematics Subject Classification: Primary 30C65; Secondary 05C25.

Key words: Ultrametric space, chordal ultrametric, local similarity, Möbius map.

Reference to this article: Z. Ibragimov: Möbius maps between ultrametric spaces are local similarities. Ann. Acad. Sci. Fenn. Math. 37 (2012), 309-317.

Full document as PDF file

doi:10.5186/aasfm.2012.3725

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