Publication: Uniformly perfect boundaries of Gromov hyperbolic spaces
Uniformly perfect boundaries of Gromov hyperbolic spaces
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Meyer, J. B. T. (2009). Uniformly perfect boundaries of Gromov hyperbolic spaces [s.n.]. (Dissertation, University of Zurich) https://doi.org/10.5167/uzh-42718
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For a Gromov hyperbolic space X there exists a boundary at infinity ∂∞ X. This boundary is equipped in a natural way with a quasi-metric with respect to a base point o ∈ X. Uniformly perfectness is a weaker condition than connectedness, but the two properties belong together. Let X be a geodesic, Gromov hyperbolic Space. In this thesis we show that there exists a quasi-isometric invariant criterion for the uniformly perfectness of ∂∞ X that can be applied to X. In the second part we proof that the property for a space to be uniformly p
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Meyer, J. B. T. (2009). Uniformly perfect boundaries of Gromov hyperbolic spaces [s.n.]. (Dissertation, University of Zurich) https://doi.org/10.5167/uzh-42718