Paperback. This book offers an alternative proof of the Bestvina-Feighn combination theorem for trees of hyperbolic spaces and describes uniform quasigeodesics in such spaces. As one of the applications of their description of uniform quasigeodesics, the authors prove the existence of Cannon-Thurston maps for inclusion maps of total spaces of subtrees of hyperbolic spaces and of relatively hyperbolic spaces. They also analyze the structure of Cannon-Thurston laminations in this setting. Furthermore, some group-theoretic applications of these results are discussed. This book also contains background material on coarse geometry and geometric group theory. Offering an alternative proof of the Bestvina-Feighn theorem for trees of hyperbolic spaces, the work defines uniform quasigeodesics and demonstrates Cannon-Thurston maps for subtrees and relatively hyperbolic spaces. It probes laminations and discusses key group-theoretic outcomes. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Bibliographic Details

Title: Trees of Hyperbolic Spaces (Paperback)
Publisher: American Mathematical Society, Providence
Publication Date: 2024
Language: English
ISBN 10: 1470474255
ISBN 13: 9781470474256
Binding: Paperback
Condition: new

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This book offers an alternative proof of the Bestvina–Feighn combination theorem for trees of hyperbolic spaces and describes uniform quasigeodesics in such spaces. As one of the applications of their description of uniform quasigeodesics, the authors prove the existence of Cannon–Thurston maps for inclusion maps of total spaces of subtrees of hyperbolic spaces and of relatively hyperbolic spaces. They also analyze the structure of Cannon–Thurston laminations in this setting. Furthermore, some group-theoretic applications of these results are discussed. This book also contains background material on coarse geometry and geometric group theory.

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