2026-08-20T15:37:10Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/421432024-07-08T15:25:18Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Hughes, Bruce
author
Martínez Pérez, Álvaro
author
Alonso Morón, Manuel
2023-06-20T00:10:54Z
2023-06-20T00:10:54Z
2010
Hughes, B., Martínez Pérez, Á., Alonso Morón, M. «Bounded distortion homeomorphisms on ultrametric spaces». Annales Academiae Scientiarum Fennicae Mathematica, vol. 35, agosto de 2010, pp. 473-92. DOI.org (Crossref), https://doi.org/10.5186/aasfm.2010.3529.
1239-629X
10.5186/aasfm.2010.3529
https://hdl.handle.net/20.500.14352/42143
https//doi.org/10.5186/aasfm.2010.3529
http://arxiv.org/pdf/1002.1652v2.pdf
It is well-known that quasi-isometrics between R-trees induce power quasi-symmetric homeomorphisms between their ultrametric end spaces. This paper investigates power quasi-symmetric homeomorphisms between bounded, complete, uniformly perfect, ultrametric spaces (i.e., those ultrametric spaces arising up to similarity as the end spaces of bushy trees). A bounded distortion property is found that characterizes power quasi-symmetric homeomorphisms between such ultrametric spaces that are also pseudo-doubling. Moreover, examples are given showing the extent to which the power quasi-symmetry of homeomorphisms is not captured by the quasiconformal and bi-Holder conditions for this class of ultrametric spaces.
eng
Bounded distortion homeomorphisms on ultrametric spaces
journal article
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https://docta.ucm.es/bitstreams/4c62c26e-9fad-4913-8b16-2e475ef5453a/download
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