RT Journal Article
T1 Bounded distortion homeomorphisms on ultrametric spaces
A1 Hughes, Bruce
A1 Martínez Pérez, Álvaro
A1 Alonso Morón, Manuel
AB 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.
PB Suomalainen tiedeakatemia
SN 1239-629X
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/42143
UL https://hdl.handle.net/20.500.14352/42143
LA eng
NO 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.
NO Organización Para La Salud y Seguridad Pública
DS Docta Complutense
RD 19 dic 2025