Trees of Hyperbolic Spaces

Know about the book -

Trees of Hyperbolic Spaces is written by Michael Kapovich and published by American Mathematical Society. It's available with International Standard Book Number or ISBN identification 1470474255 (ISBN 10) and 9781470474256 (ISBN 13).

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.