Trees of Hyperbolic Spaces

Trees of Hyperbolic Spaces
Author :
Publisher : American Mathematical Society
Total Pages : 295
Release :
ISBN-10 : 9781470474256
ISBN-13 : 1470474255
Rating : 4/5 (255 Downloads)

Book Synopsis Trees of Hyperbolic Spaces by : Michael Kapovich

Download or read book Trees of Hyperbolic Spaces written by Michael Kapovich and published by American Mathematical Society. This book was released on 2024-08-15 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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