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- W4301239082 abstract "Let (X,d) be a tree (T) of hyperbolic metric spaces satisfying the quasi-isometrically embedded condition. Let $v$ be a vertex of $T$. Let $({X_v},d_v)$ denote the hyperbolic metric space corresponding to $v$. Then $i : X_v rightarrow X$ extends continuously to a map $hat{i} : widehat{X_v} rightarrow widehat{X}$. This generalizes a Theorem of Cannon and Thurston. The techniques are used to give a new proof of a result of Minsky: Thurston's ending lamination conjecture for certain Kleinian groups. Applications to graphs of hyperbolic groups and local connectivity of limit sets of Kleinian groups are also given." @default.
- W4301239082 created "2022-10-05" @default.
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- W4301239082 date "1996-09-22" @default.
- W4301239082 modified "2023-10-16" @default.
- W4301239082 title "Cannon-Thurston Maps for Trees of Hyperbolic Metric Spaces" @default.
- W4301239082 doi "https://doi.org/10.48550/arxiv.math/9609209" @default.
- W4301239082 hasPublicationYear "1996" @default.
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